Two angles are complementary. One has a measure of 19 degrees. What is the measure of the other angle.

Answers

Answer 1

Answer:

71

Step-by-step explanation:

a complementary angle is the sum of 2 angles that equals 90. So if one angle is 19 degrees then 19- 90 = 71 so the other angle measure is 71

Answer 2

Answer:

71 degrees

Step-by-step explanation:

If the angles are complementary, they add up to 90. Let x be the angle we are trying to find the measure of:

x+19=90

Subtract 19 from both sides

x=71

71 degrees


Related Questions

If a scatterplot of standardized, bivariate data displays data that are mostly lying in the upper left and lower right-hand quadrants, then the Pearson correlation is typically going to be negative. True
False

Answers

If a scatterplot of standardized, bivariate data displays data that are mostly lying in the upper left and lower right-hand quadrants, then the Pearson correlation is typically going to be negative. The above statement is false.

Bivariate data:

Bivariate data involves studying and comparing two separate variables. For example, a researcher may record how long it takes people to complete a crossword puzzle while measuring the stress levels of the participants. In this example, the two variables that the researcher is examining are time and stress.

Scatterplots:

Scatterplots display these bivariate data sets and provide a visual representation of the relationship between variables. In a scatterplot, each point represents a paired measurement of two variables for a specific subject, and each subject is represented by one point on the scatterplot.

When the points on a scatterplot graph produce a lower-left-to-upper-right pattern, we say that there is a positive correlation between the two variables. This pattern means that when the score of one observation is high, we expect the score of the other observation to be high as well, and vice versa.

When the points on a scatterplot graph produce a upper-left-to-lower-right pattern, we say that there is a negative correlation between the two variables. This pattern means that when the score of one observation is high, we expect the score of the other observation to be low, and vice versa.

In statistics, the Pearson correlation coefficient ― also known as Pearson's r, the Pearson product-moment correlation coefficient (PPMCC), the bivariate correlation or colloquially simply as the correlation coefficient ― is a measure of linear correlation between two sets of data. It is the ratio between the covariance of two variables and the product of their standard deviations; thus, it is essentially a normalized measurement of the covariance, such that the result always has a value between −1 and 1. As with covariance itself, the measure can only reflect a linear correlation of variables, and ignores many other types of relationships or correlations. As a simple example, one would expect the age and height of a sample of teenagers from a high school to have a Pearson correlation coefficient significantly greater than 0, but less than 1 (as 1 would represent an unrealistically perfect correlation).

The Pearson correlation method is the most common method to use for numerical variables; it assigns a value between − 1 and 1, where 0 is no correlation, 1 is total positive correlation, and − 1 is total negative correlation. This is interpreted as follows: a correlation value of 0.7 between two variables would indicate that a significant and positive relationship exists between the two. A positive correlation signifies that if variable A goes up, then B will also go up, whereas if the value of the correlation is negative, then if A increases, B decreases.

Learn more about Pearson Correlation:

https://brainly.com/question/15353989

#SPJ4

You have $700 to buy a new carpet for your bedroom. Write and solve an inequality that represents the costs per square foot that you can pay for the new carpet. Specify the units of measure in each step.

Answers

Answer:

3 squear meator of concrete

Step-by-step explanation:

Please help me with this assignment! Grade 8th math

Please help me with this assignment! Grade 8th math

Answers

We need to know about translation, reflection and rotation to solve the problem. (1) We translate a triangle with respect to a horizontal and vertical direction. (2) We rotate a traingle about a given angle. (3) We refelct a triangle about a line of reflection which can be axis or vector.

(1) Translation of a triangle means changing it's position without changing the shape or size of the triangle. We translate a triangle with respect to a horizontal and vertical direction. We get the new triangle by adding the horizontal translation value to the x-coordinate and the vertical translation value to the y-coordinate.

(2) Rotation of a triangle is turning the triangle by an angle around a center point. When a triangle is rotated by 90° clockwise then (x,y) becomes (y,-x), when rotated by 90° anticlockwise (x,y) becomes (-y,x), when rotated by 180° clockwise or anticlockwise (x,y) becomes (-x,-y).

(3)Reflection of a triangle is finding a mirror like image of the triangle about  a line of reflection. The line of reflection may be either of the axes, a vector. To find the image we have to find the coordinates of the triangle that are of same distance from the line of reflection on the opposite side like they are from the original triangle.

Therefore we learnt about translation, reflection and rotation and saw that (1) Translation needs a horizontal and vertical direction for translating, (2) Rotation needs an angle of rotation and a center point and (3) Reflection needs a line of reflection.

Learn more about translation of figure here:

https://brainly.com/question/11431037

#SPJ9

Determine the domain of the following graph:

Determine the domain of the following graph:

Answers

Answer:

[0,11)

Step-by-step explanation:

the function is defined over {0,11) because it includes x=0, but has an open dot at x=11.

If Billy had 39 sweets he recieves twice as much and ate 25 what does Billy have now​

Answers

Answer:

53

Step-by-step explanation:

Answer:

Step-by-step explanation:

he had 39 sweets

then he receive 39*2[twice as much as 39] + 39 [the sweet he had before he got more sweet]

39*2=78+39=117-25[the number of sweet he had taken out of the 117 sweets he had before]

117-25=92

Billy has 92 sweets left

(i) If volume is high this week, then next week it will be high with a probability of 0.8 and low with a probability of 0.2. (ii) If volume is low this week then it will be high next week with a probability of 0.5. Assume that state 1 is high volume and that state 2 is low volume. (1) Find the transition matrix for this Markov process. P = [ __ __ ]
[ __ __ ]
(2) If the volume this week is high, what is the probability that the volume will be high two weeks from now? (3) What is the probability that volume will be high for three consecutive weeks?

Answers

The probability of having high volume two weeks from now given that the volume is high this week is 0.64. The probability of having high volume for three consecutive weeks is 0.512 or 51.2%.

(1) The transition matrix for this Markov process can be represented as:

P = | 0.8 0.2 |

| 0.5 0.5 |

Where Pij represents the probability of transitioning from state i to state j.

(2) If the volume this week is high, we can find the probability that the volume will be high two weeks from now by multiplying the probabilities of transitioning from state 1 to state 1 twice:

P(High volume two weeks from now | High volume this week) = P11 x P11 = 0.8 x 0.8 = 0.64

So, the probability of having high volume two weeks from now given that the volume is high this week is 0.64.

(3) To find the probability that volume will be high for three consecutive weeks, we can multiply the probabilities of transitioning from state 1 to state 1 three times:

P(High volume for three consecutive weeks) = P11 x P11 x P11 = 0.8 x 0.8 x 0.8 = 0.512

Therefore, the probability of having high volume for three consecutive weeks is 0.512 or 51.2%.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

b) Scores of SAT exams are normally distributed with μ = 500 and σ= 100. The college wants to admit the top 10% of candidates. What should be the minimal score for admission? c) The Recovery from anesthesia can hit people with high blood pressure. Rehab center "All heart" reports that the standard deviation o of the patient's blood pressure is 10. If only 8% of patients exceeds 140, what is the mean-j blood pressure of patients?

Answers

The minimal score for admission is 628 and the mean blood pressure of patients is 155.

b) The minimal score for admission is the score which is located in the top 10% of the distribution. The score will be located at the 90th percentile. Since the scores are normally distributed, we can use the z-score to calculate the corresponding score at the 90th percentile.

The z-score at the 90th percentile is 1.28. Therefore, the minimal score for admission would be 500+1.28×100 = 628.

c) Since only 8% of patients exceed 140, the mean blood pressure of patients will be located at the 92nd percentile. Therefore, we can use the z-score to calculate the corresponding score at the 92nd percentile.

The z-score at the 92nd percentile is 1.5. Therefore, the mean blood pressure of patients would be 140+1.5×10 = 155.

Therefore, the minimal score for admission is 628 and the mean blood pressure of patients is 155.

To learn more about the normal distribution visit:

https://brainly.com/question/14916937.

#SPJ4

Which expression is NOT equivalent to 100+20100+20?

A).5(20+4)5(20+4)
B).2(98+10)2(98+10)
C).10(10+2)10(10+2)
D).2(50+10)2(50+10)

Answers

Answer:

A) . 5(20+4)5(20+4)

Step-by-step explanation:

5(20+4)5(20+4)

5(24) ×5(24)

120 × 120

14400

1. Jin fills up a 510-gallon pool in the backyard for her children. She fills it with the garden hose at a rate of 17 gallons per minute. After it is filled, she lets it sit for 30 minutes in order to let the water temperature rise. The children then get in and have fun for an hour. The pool loses about _1_ gallon of water each minute due to Time (minutes) Amount of Water (gallons) 0 5 20 30 45 60 80 100 120 150 200 2 their splashing and playing. At the end of the hour, they tear the pool while getting out, which causes a leak. The pool then begins to lose water at a rate of 2 gallons per minute. a. Complete the table to show the amount of water in the pool after each minute. b. Create a graph to model the problem situation. Include when the pool will be empty. c. Write a piecewise function that models this problem situation. Explain your reasoning for each piece of the function. d. Identify the x- and y-intercept. Explain what they mean in terms of the problem situation. e. Determine when the pool will have 470 gallons of water in it. Identify the piece(s) of function you used. Explain your reasoning. 2. Jin asks her children to pay her back for the damaged pool. They must give her $15 per week. Together they have $165 in a savings account. a. Write a function to represent the amount of money they have after x weeks. Describe the domain and range of this function in terms of the problem situation. b. To rebuild their account, the children will receive a combined $15 per week in allowances. They start saving the week after their account is depleted and save for another 11 weeks. What are the domain and range of this function and what do they mean in terms of the problem situation? Write a function to represent this part of the graph. c. Graph the equations on the same grid. Is the graph continuous or discrete? Explain your reasoning. d. Write a function to represent the entire graph.

Answers

Answer:

The answer is B

Step-by-step explanation:

Srry it was so late

Three of the four points below are on the graph of a proportional relationship between the variables x and y. Which point is NOT on the graph(0,0)
(1,5)
(2,6)
(3,15)?

Answers

Answer:

I think 2,6

Step-by-step explanation: X5

Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.) amplitude period horizontal shift b) Write an equation that represents the curve in the form y = a cos(k(x - b)).

Answers

The equation for the curve shown in the form y = a cos (k (x - b)). -2, 4π/3, -π/3 y = -2cos (4π/3(x + π/3))

Determine the horizontal shift, period, and amplitude.

Given:

1. The amplitude of a cosine graph is the maximum value of the graph. In this case, the amplitude is -2.

2. The period of a cosine graph is the length of one cycle. In this case, the period is 4π/3.

3. The horizontal shift of a cosine graph is the amount the graph is shifted to the left or right. In this case,

The absolute value of the horizontal shift is less than the period, so the horizontal shift is -π/3.

4. To write the equation of the graph in the form y = a cos (k (x - b)), we can use the information from the previous steps.

We know the amplitude is -2, the period is 4π/3, and the horizontal shift is -π/3. Therefore, our equation is: y = -2cos (4π/3(x + π/3)).

To learn more about curve visit:

brainly.com/question/9521298

#SPJ4

Watcrreu
The approximate populations of Missouri and Alaska (as of 2019) are listed below:
Missouri: 6.14 x 106
Alaska: 7.32 x 105
How much greater was the population of Missouri than the population of Alaska?
Express your answer using either standard notation or scientific notation.
Scientific Notation
Answer:
X10
people
Submit Answer
O
E

Answers

Answer:

Step-by-step explanation:

Parveen scored 18 out of 25 in a maths test. What percentage did she score

Answers

Answer:

72%

Step-by-step explanation:

Express her score as a fraction and multiply by 100% to make the percentage

\(\frac{18}{25}\) × 100% = 18 × 4% = 72%

Answer:

72%

Step-by-step explanation:

Total score of Parveen in her math test

= 18/25

Total percentage she scored in her math test

= (18/25×100)%

= (18×4)%

= 72%

Hence, Parveen scored 72% in her math test.

Please help me!!!!!!!!

Please help me!!!!!!!!

Answers

Answer:

   

Step-by-step explanation:

   

Which expression is equivalent to (q Superscript 6 Baseline) squared?

Answers

Step step superscript

Answer:

c; (q superscript 12)

Step-by-step explanation:

please please mark brainliest

what is the smallest even number you can make with the numbers 5,7,4,9

Answers

Answer:

-4

Step-by-step explanation:

5 - 9 = -4.

Only 4 - 9 = -5 is smaller, but it is an odd number.

Answer:

-1

Step-by-step explanation:

5-7= -2, 7-9= -2

4-9= -5, 4-5= -1

can someone help me with these 2?​

can someone help me with these 2?

Answers

Answer:

A. and D.

Step-by-step explanation:

Match the side lengths with each other. For 3), the reflect each other, so RQ would be parallel to RV. For 4), it is upside down, so if you were to flip it around, it would be MK is parallel to RS.

<3

Express the terms of the following sequence by glving an explicit formula
2, -2, -6, -10, –14,...

Answers

Answer:

\(a_{n}\) = - 4n + 6

Step-by-step explanation:

There is a common difference between consecutive terms of the sequence

- 2 - 2 = - 6 - (- 2) = - 10 - (- 6) = - 14 - (- 10) = - 4

This indicates the sequence is arithmetic with explicit formula

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 2 and d = - 4 , then

\(a_{n}\) = 2 - 4(n - 1) = 2 - 4n + 4 = - 4n + 6

How many solutions are there to the equation below?
x² = 9
A. O
B. 4
C. 9
D. 1
E. 2

Answers

Answer: E. 2

Step-by-step explanation:

x²=9

x=±3 ⇔ since it is square (any value after square will always be positive), the value can be negative or positive.

There are 2 solutions: 3 and -3

Hope this helps!! :)

a researcher comparing the means of sample from two different populations, decided to test the same two-sided hypothesis using two different tests: a one-way anova f test, and a two-sample t test using the t statistic with pooled variance. the value of the pooled t statistic for the test is 1.2. this means that the value of the f statistic will be

Answers

The test's pooled t statistic has a value of 1.2. This indicates that the f statistic's value will be 1.44.

Define the term two-sided hypothesis?

As contrast to a one-sided hypothesis, that is always bounded either by above or below, a two-sided hypothesis is just an alternate hypothesis that is not bounded either by above or below.

Actually, the union of 2 one-sided hypotheses results in a two-sided hypothesis.The difference between both the results of 2 independent populations with equal variances can be tested using the pooled t test. The test's name alludes to the fact that the test statistic is computed using the variance of a pooled sample.

As the question stated-

The same two-sided hypothesis was tested by a researcher comparing the sample means from two distinct populations using two different exams: a one-way anova f test and a two-sample t test using t statistic using pooled variance.

Thus,

f statistic's value = 1.2² = 1.44

Thus, the test's pooled t statistic has a value of 1.2. This indicates that the f statistic's value will be 1.44.

To know more about the two-sided hypothesis, here

https://brainly.com/question/15684429

#SPJ4

-4/4 plus 160 percent plus 1/5

Answers

Answer:

-1 + (1.6) + 0.2

Step-by-step explanation:

-1 + 1.6 = 0.2 = 0.8

Answer:

-1 + (1.6) + 0.2

Step-by-step explanation:

-1 + 1.6 = 0.2 = 0.8

The graphic shows a sample 401k investment. a sample 401 (k) investment has an annual contribution of 5,000 dollars, employer match of 5 percent, employer contribution of 2500 dollars, and total contribution of 7500 dollars. based on the graphic, what advantage does this 401k have over other types of investments? it encourages employees to contribute by offering an employer bonus. it ensures that employees who contribute will retire with more money. it guarantees employees a return on their investment because of a company match. it incentivizes employees to contribute by offering an employer match.

Answers

The  advantage  401k have over other types of investments is:it incentivizes employees to contribute by offering an employer match.

What is 401(k) Investment?

401(k) investment can be defined as the process in which an employer enables an employee to save ahead of their retirement.

401(k)  investment help to motivate or encourage employee to save for retirement by enabling the employer to as well contribute a certain amount toward the employee retirement .

It as well help to lower the tax amount paid on the amount contributed by an employee based on the fact that the contribution are often deducted before tax.

Therefore the advantage  401k have over other types of investments is:it incentivizes employees to contribute by offering an employer match.

Learn more about 401(k) investment  here:https://brainly.com/question/27159207

Answer:

D.) It incentivizes employees to contribute by offering an employer match.

Step-by-step explanation:

Write the number name and expanded form for the number of driver ants that could be in two colonies. Up to 22,000,000 driver of ants can live in a single colony

Answers

Answer: number name = 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Step-by-step explanation:

To write the number name and expanded form for the number of driver ants that could be in two colonies.

Given: Up to 22,000,000 driver of ants can live in a single colony

Since 1, 000, 000 =1 million

So 22,000,000= 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Hence, number name = 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

4.
Use Synthetic Division To Solve.

(x3-3x2-7x+6) / (x-2)

A. x2+x+9+ 12 /x-2

B. x2+5x+3+ 12 / x-2

C. x2-5x+3

D. x2-x-9-12/x-2

Answers

Answer:

D. x^2-x-9-12/x-2

Step-by-step explanation:

We can use synthetic division to divide (x^3 - 3x^2 - 7x + 6) by (x - 2). First, we set up the division as follows:

    2 |   1   -3   -7    6

       |______2___-2__-18

       | 1   -1   -9  -12

The numbers on the bottom row of the synthetic division table represent the coefficients of the quotient polynomial. Therefore, the quotient is x^2 - x - 9, and the remainder is -12.

So, we have:

(x^3 - 3x^2 - 7x + 6) / (x - 2) = x^2 - x - 9 + (-12 / x - 2)

Therefore, the correct option is D: x^2 - x - 9 - 12/(x - 2).

A certain reality TV show lost a total of 9,000 viewers over the past 3 months. It lost the same number of
viewers each month.
The following equation describes this situation.
-9,000 = 3 = -3,000
What does -3,000 tell us?

Answers

Answer:

Step-by-step explanation:

- 3, 000 tells the number of views loss in each month.

Simplify the expression.

|–5 – 8|


–13


12


–12


13

Answers

|-5 - 8| = 13
So The Answer Would Be 13

Answer:

Option D

13

Step-by-step explanation:

|–5 – 8|

= l-13l

= 13 (Ans)

Question 1 (Worth 2 points)

(Experimental Probability MC)

In a repeated experiment, Kim rolled a fair die twice. The theoretical probability of both rolls equaling a sum greater than 9 is 6 over 36. Predict how many times the rolls will result in a sum greater than 9 if the experiment is repeated 144 times.

24

12

9

6

Points earned on this question: 0

Question 2 (Worth 2 points)

(Experimental Probability MC)

The table shows the results of tossing a number cube 50 times.


Outcome Frequency
1 9
2 11
3 8
4 6
5 9
6 7

Determine the experimental probability of landing on a number greater than 4.
P(> 4) = 0.04

P(> 4) = 0.12

P(> 4) = 0.32

P(> 4) = 0.56

Points earned on this question: 0

Question 3 (Worth 2 points)

(Experimental Probability MC)

A spinner is divided into three equal parts A, B, and C. The repeated experiment of spinning the spinner twice is simulated 125 times. A table of outcomes is shown.


Outcome Frequency
A, A 15
A, B 12
A, C 10
B, A 18
B, B 15
B, C 17
C, A 11
C, B 13
C, C 14

Based on the table, for what probability can you expect the spinner to not land on B?
0.10

0.33

0.40

0.66

Points earned on this question: 2

Question 4 (Worth 2 points)

(Experimental Probability MC)

An experiment is conducted with a bag of marbles containing 5 white and 2 blue marbles. The results of a marble being drawn twice and replaced 100 times are shown in the table.


Outcome Frequency
White, White 27
White, Blue 22
Blue, Blue 18
Blue, White 33

Find P(1 blue).
33 over 100

50 over 100

55 over 100

73 over 100

Points earned on this question: 0

Question 5 (Worth 2 points)

(Experimental Probability MC)

There is an equal amount of yellow, blue, green, and red marbles in a bag of 32 marbles. If Ed draws 4 marbles out of the bag with replacement, predict how many of the 4 marbles drawn should be blue.

1

4

8

32

Points earned on this question: 2

Question 6 (Worth 2 points)

(Experimental Probability MC)

Using a standard deck of 52 cards, Lisa drew a card, recorded the suit of the card picked, then replaced it back in the deck. She continued this for a total of 40 draws. The table shows the frequency of each type of card drawn.


Diamonds Spades Hearts Clubs
7 11 9 13

Determine the experimental probability of not selecting a diamond.
P(not diamond) = 82.5%

P(not diamond) = 72.5%

P(not diamond) = 10%

P(not diamond) = 7%

Points earned on this question: 2

Question 7 (Worth 2 points)

(Experimental Probability MC)

Carrie flipped a fair coin twice 240 times and recorded the results in the table.


Outcome Heads, Heads Heads, Tails Tails, Heads Tails, Tails
Frequency 60 73 63 44

If the coin is flipped 240 times, determine P(tails, heads).
50%

44.6%

26.3%

25%

Points earned on this question: 2

Answers

1. The expected number of times the rolls will result in a sum greater than 9 is 24, so correct option is A. 2.  P(>4) = 0.32 3. the answer is 0.55 4. the answer is 0.55 5. 1,  6. P(not diamond) = 0.825. 7. 26.3%.

Describe probability ?

The underlying idea of probability is applied in many disciplines to estimate the possibility of an event. It is stated as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. For instance, there are two possible outcomes when flipping a fair coin, and one of them is heads, hence the chance of receiving heads is 0.5.

The probability of an occurrence is often estimated by dividing the total number of outcomes by the number of alternative ways the event could occur. The likelihood of selecting a red ball at random, for instance, is 4/10, or 0.4, if a bag includes 4 red balls and 6 blue balls.

Question 1:

The theoretical probability of both rolls equaling a sum greater than 9 is 6/36 or 1/6.

If the experiment is repeated 144 times, the expected number of times the rolls will result in a sum greater than 9 is:

(1/6) x 144 = 24

Therefore, the answer is 24.

Question 2:

The experimental probability of landing on a number greater than 4 is the sum of the frequencies of rolling a 5 or 6, divided by the total number of trials:

P(>4) = (9 + 7) / 50 = 0.32

Therefore, the answer is P(>4) = 0.32.

Question 3:

To find the probability of the spinner not landing on B, we can add up the frequencies of all outcomes that do not include B, and divide by the total number of trials:

P(not B) = (15 + 10 + 18 + 11 + 14) / 125 = 0.68

Since we want the probability of the spinner landing on something other than B, we subtract this from 1:

P(not landing on B) = 1 - P(B) = 1 - (15 + 17 + 13) / 125 = 1 - 0.45 = 0.55

Therefore, the answer is 0.55.

Question 4:

To find the probability of drawing 1 blue marble, we can add up the frequencies of outcomes that include one blue marble and one white marble, and divide by the total number of trials:

P(1 blue) = (22 + 33) / 100 = 0.55

Therefore, the answer is 0.55.

Question 5:

Since there are an equal number of yellow, blue, green, and red marbles, the probability of drawing a blue marble is 1/4.

If Ed draws 4 marbles with replacement, the number of blue marbles he can expect to draw is:

4 x 1/4 = 1

Therefore, the answer is 1.

Question 6:

The experimental probability of not selecting a diamond is the sum of the frequencies of selecting spades, hearts, and clubs, divided by the total number of draws:

P(not diamond) = (11 + 9 + 13) / 40 = 0.825

Therefore, the answer is P(not diamond) = 0.825.

Question 7:

The probability of flipping tails and then heads is the frequency of that outcome divided by the total number of trials:

P(tails, heads) = 63 / 240 = 0.2625

Therefore, the answer is P(tails, heads) = 0.2625, which is closest to 26.3%.

To know more about outcomes visit:

https://brainly.com/question/30919037

#SPJ1

If 8 boxes of cereal cost $27.60, what is the price of one box?

Answers

Answer:

$3.45

Step-by-step explanation:

Let "x" repreesnt the cost of one box. If 8 = 27.60, 1 = "x". Set up a fraction, then solve;

\(\frac{8}{27.6}=\frac{1}{x}\)

Step 1: Divide 27.6 by 8

\(27.60 \div 8 = 3.45\)

Step 2: Multiply the result by 1

\(3.45 \times 1 = 3.45\)

That means 1 cereal box costs 3.45 dollars.

S/S^2+14s+49= S/(S-)^2 S/S^2+14S+49=FI s+7 where f(s)= Therefore f(t)=

Answers

f(t) = (t + 7)^2 / t

To solve this problem, we need to simplify the expression on the left-hand side and then equate it with the expression on the right-hand side.

First, we can factor the denominator of the left-hand side using the quadratic formula:

S^2 + 14s + 49 = (S + 7)^2

So,

S/S^2+14s+49 = S/(S + 7)^2

Now, we can equate this with the expression on the right-hand side:

S/(S + 7)^2 = FI/(s + 7)

To solve for FI, we can cross-multiply:

S(FI) = (S + 7)^2

FI = (S + 7)^2 / S

To find f(t), we simply substitute t for S in the expression for FI:

f(t) = (t + 7)^2 / t

Find more about the denominator

brainly.com/question/28439729

#SPJ11

The fifth grade has 152 students. Each student has 18
pencils. About how many pencils do the students have altogether?

Answers

There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

What are arithmetic operations?

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ1

Other Questions
Simplify.square root of 12 - 2/5 square root of 75A. 0B. 2 square root of 3C. 3 square root of 2100 points for the correct answer Which statement about the relationship between a function and its inverse is NOT true?A. The graph of the inverse of a function is the reflection across the line y = x of the graph of the function.B. The domain of a function is the range of the inverse of the function.C. The range of a function is the domain of the inverse of the function.D. The inverse of a function is always a function. a client on telemetry has a pattern of uncontrolled atrial fibrillation with a rapid ventricular response. based on this finding, the nurse anticipates assisting the physician with which treatment? The stockholders' equity section of Whaler Inc. at the beginning of the current year appears below. Common stock, $1 par value, authorized 5,000,000 shares, 800,000 shares issued and outstanding, $800The stockholders' equity section of Whaler Inc. at the beginning of the current year appears below. Common stock, $1 par value, authorized 5,000,000 shares, 800,000 shares issued and outstanding, $800,000 Paid-in capital in excess of par-common stock, $16,100,000 Retained earnings 260,000 During the current year, the following transactions occurred: (a) The company sold to the public a $1,000,000, 6% bond issue at 106. The company also issued with each $1,000 bond two detachable stock purchase warrants, which provided for the purchase of common stock at $19 per share. Shortly after issuance, similar bonds without warrants were selling at 97 and the warrants at $4.50. (b) At the end of the year, 60% of the warrants in part (a) had been exercised, and the remaining were outstanding and in good standing. What are the general journal entries (if any) to record the transactions listed above. Round your answer to the nearest dollar. Huntingtons disease is a dominant disorder. If an unaffected individual has children with someone who is heterozygous for Huntingtons, what percent of their offspring will be affected by the disorder? which four characters finally confront one another in scene 1 of act v? An experimenter exposed participants to different room temperatures to determine the effects on aggression. Aggression was the:A. independent variableB. dependent variableC. control variableD. confounding variable jasmine needs a double underline to appear beneath a word. she should change the underline style. true false which area of the brain interprets the stressor as a threat? if a snake species were introduced to an ecosystem where it had no natural predators, what long-term effect do you predict the snakes would have on the population dynamics of the ecosystem?They would breed with native snake species, resulting in an increase in biodiversity in the ecosystem.They would serve as a food source for predators of native snakes, causing an increase in native snake populations.They would form mutualistic relationships with native snakes, since they would occupy the same niche in the ecosystem.They would compete with native snake species for resources, causing a decline in native snake populations and possibly extinction. what allows modern immigrants to participate in a transnational migration experience? The lifespans of penguins in a particular zoo are normally distributed. The average penguin lives 12.5years; the standard deviation is 2.4 years. Use the empirical rule (68-95-99.7%) to estimate the probability of a penguin living less than 10.1 years. A group of friends wants to go to the amusement park. They have no more than $110 to spend on parking and admission. Parking is $10.50, and tickets cost $23.50 per person, including tax. What is the maximum number of people who can go to the amusement park? 7 What was the overall goal of U. S. Military intervention in Vietnam from 1964-1973?A Eliminating trade barriers between the United States and Southeast AsiaB Isolating the Soviet Union by improving Chinese relations with the United StatesC Promoting economic growth in the Pacific regionD Preventing communism from spreading throughout Southeast Asia A chorus has 50 girls and35 boys. If two are chosenat random to sing a duet,What is the probability thatboth will be boys? Coastal Dynamics Lab ReportInstructions: In the Coastal Dynamics Lab, you explored the effects of the intertidal zone on two species of snails, and how an adaptation can aid in an organism's survival. Record your observations from the lab in the lab report below. You will submit your completed report. Deandre is recording instances of physical aggression among children in a schoolyard at recess. deandre is undertaking? When converting from kilometers to meters, the decimal is moved a. three places to the left b. two places to the left c. three places to the right d. two places to the right. Please select the best answer from the choices provided A B C D Over the past 150 years, the U.S. economy has endured a recession on average about every:A) one to two years.B) four to five years.C) 10 to 15 yearsD) 50 years Katie has a doll house that is a small model of a real Victorian house. The real house has a rectangular window that measures 65 centimeters long by 45 centimeters wide. The length of the window in Katie's house is 13 centimeters long. How wide is the window in Katie's house?