Given the equation of the parabola
\(y=x^2+2x-1\)which can be written as
\(\begin{gathered} y=x^2+2x+1-1-1 \\ =(x+1)^2-2 \end{gathered}\)Comparing with
\(y=a(x-h)^2+k\)gives a = 1, h = -1 and k = -2.
The vertex is (h, k) = (-1, -2).
Based on the plot, approximately how many practice puzzles
per week do members solve if they finish the contest puzzle
in one hour?
a 6
b 10
c 4
d 2
Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle
in one hour is c 4
How to explain the scatterplotThe line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.
If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.
The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.
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In how many ways can you spell the word FOOT in the grid below? You can start on any letter F, then on each step you can step one letter in any direction (up, down, left, right, or diagonal).
There are six ways in which the word FOOT may be spelt starting at any letter.
What is combination?The term combianntion offers a plausible way to carry out a selection as long as we do not give preference to the order in which the selection is made. In this case, we are told that we can start from any letter therefore order is not important.
There are four letters in FOOT and one letter is repeated twice therefore;
4C2 = 4!/(4-2)! 2!
4C2 = 4 * 3 * 2!/2! * 2 * 1
4C2 = 12/2
4C2 = 6
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Tierra, cameron, and justin wrote equations to caculate the amount of money in a savings account after one year with 1/2 % interest paid annually on a balance of M dollars. Let T represent the total amount of money saved
It's possible that Tierra, Cameron, or Justin used different equations to express the same connection and interest account total.
What does "paid amount" mean?When you offer someone money, you do it either because you are purchasing something for them or since you owe them money. You pay what you owe when you pay for anything, such a payment or debt.
What does number look like?She put an incredible/exorbitant amount of work into arranging her garden. A candidate's ability to spend funds is now restricted under the new law. We have a lot of assets at our disposal. Meaning We have such a lot of resources at our disposal.
If the interest rate is \(1/2\)% and it is paid annually,
\(0.005M\)
Adding this interest to the initial balance \(M\) gives the total amount of money saved after one year:
\(T = M + 0.005M = 1.005M\)
Therefore, the equation for the amount of money in the savings account after one year with \(1/2\)% interest paid annually is
\(T = 1.005M\)
Tierra, Cameron, and Justin may have written different equations to represent the same relationship,
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It's possible that Tierra, Cameron, or Justin used different equations to express the same connection and interest account total.
What does "paid amount" mean?
You either give someone money because you are buying something for them or because you owe them money when you do so. When you pay for something, including a payment or obligation, you pay what you owe.
What does number look like?
She put an incredible/exorbitant amount of work into arranging her garden. A candidate's ability to spend funds is now restricted under the new law. We have a lot of assets at our disposal. Meaning We have such a lot of resources at our disposal.
If the interest rate is 1/2 % and it is paid annually,
0.005M
Adding this interest to the initial balance gives the total amount of money saved after one year:
T = M + 0.05M
T = 1.05M
Therefore, the equation for the amount of money in the savings account after one year with 1/2 % interest paid annually is,
T = 1.05M
Tierra, Cameron, and Justin may have written different equations to represent the same relationship,
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7^-2d^5 as a fraction. 1^-23r^12 as a fraction. 9^-2w^-56 as a fraction.
Given data:
The first expression is 7^(-2)d^(5).
The second expression is 1^(-23)r^(12).
The third expression is 9^(-2)w^(-56).
The first expression can be written as,
7^(-2)d^(5)=d^5/7^2
=d^5/49.
The second expression can be written as,
1^(-23)r^(12)=r^12/1^23
=r^12/1.
The third expression can be written as,
9^(-2)w^(-56)=1/(9^2)(w^56).
Thus, the fractional representation of first expression is d^5/49, the fractional representation of second expression is r^12/1, and the fractional representation of the third expression is 1/(9^2)(w^56).
Area of compound Figures
Find the area of the shaded region in each figure. Round your
answer to two decimal places. (use = 3.14)
Answer:
104.94ft^2
Step-by-step explanation:
area of circle =
\(\pi {r}^{2} \)
= π*7*7=153.93ft^2
area of triangle
\(.5 \times b \times h\)
here b = 14ft
h=7ft
area of triangle =. 49 ft^2
subtract them = 104.93
Find the mean, Find the median,
mode, and range
of each Data set 46, 35, 23, 37, 29, 53, 43
Answer: mean- 38
median- 37
mode- no mode
range- 30
Step-by-step explanation:
Seymour has 5 candy bars that he would like to split equally among 4 children. How much candy will each child get?
u diviide the number of candies by the number of people
Step-by-step explanation:
5/4
Answer:
Each child would get 1 1/4 of a candy bar
Step-by-step explanation:
If Seymour is 1 out of 4 kids and has 5 candy bars each kid gets 1 candy bar (4 candy bars) and then there is 1 candy bar remaining. This 1 candy bar can then be split into 1/4ths so each kid gets 1 1/4 candy bars.
wht is the different between 4567 and 5765?
Answer:
5765 - 4567 = 1198
Answer for you second question:
Ashburn Company issued 15-year bonds two years ago at a coupon rate of 8.9 percent. The bonds make semiannual payments. If these bonds currently sell for 113 percent of par value, what is the YTM?
Using an online finance calculator, the yield to maturity (YTM) of the Ashburn Company's bond at a coupon rate of 8.9 percent paying semiannual interest and selling at 113% of par value is 7.45%.
What is the yield to maturity?The Yield to maturity (YTM) is the total return, expressed as an annual rate, anticipated by a bondholder on a bond if it is held until its maturity date.
The maturity date refers to the date when the principal of a fixed investment is repaid at the maturity value.
The yield to maturity can also be computed using the following formula:
YTM = [(Face value/Bond price)1/Time period]-1.
Face (par) value = $100
Bond current price = $113 ($100 x 113%)
Annual coupon rate = 8.9%
Coupon frequency = Semi-annually
Years to maturity = 15 years
Result:
Yield to maturity (YTM) = 7.45%
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A mathematician used data of the average gas mileage of new vehicles sold in Greece for the years 2012 to 2022 to create a quadratic function that models the data, where x is the number of years since 2010 and y is the average gas mileage, in miles per gallon (mpg). Some of the values are shown in the table of values.
During what years was the average gas mileage for new vehicles sold in Greece decreasing?
Please help me, I will have a test based on this question so please help me!!!!
The quadratic function from the table of values is y = x^2 + 5
How to determine the quadratic functionFrom the question, we have the following parameters that can be used in our computation:
x y
0 5
2 9
12 149
A quadratic function can be represented as
y = a(x - h)^2 + k
Where
Vertex = (h, k)
In this case, the vertex is the minumum
So, we have
(h, k) = (0, 5)
So, we have
y = ax^2 + 5
Using the other points, we have
a(2)^2 + 5 = 9
So, we have
a = 1
So, the function is y = x^2 + 5
The average gas mileage for new vehicles sold does not decrease based on the data in the table
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Complete question
A mathematician used data of the average gas mileage of new vehicles sold in Greece for the years 2012 to 2022 to create a quadratic function that models the data, where x is the number of years since 2010 and y is the average gas mileage, in miles per gallon (mpg). Some of the values are shown in the table of values.
During what years was the average gas mileage for new vehicles sold in Greece decreasing?
x y
0 5
2 9
12 149
HELP ASAP PLS HELP FAST!!!!!
apply the definition of subtraction and properties of operations to find the result (3/8+2/3) - 3/8
Answer:
The result is \(\frac{2}{3}\).
Step-by-step explanation:
Since there is no symbol in front of the first bracket, we can straight up remove it with no consequences.
Hence, the equation we get is:
\(\frac{3}{8} + \frac{2}{3} - \frac{3}{8}\)
\(= \frac{2}{3}\)
Therefore, the result is \(\frac{2}{3}\).
Hope this helped!
HELP ASAP!!! ILL GIVE BRAINLIEST!
The residents of a city voted on whether to raise property taxes. The ratio of YES votes to NO votes was 2 to 3. If there were 4735 TOTAL votes, how many NO votes were there?
Answer:
2841 no votes
Step-by-step explanation:
Una librería consta de 5400 libros repartidos en 3 estanterías
En la estanteria A ahi el triple de libros que en la B y en la B la mitad que en la C calcular cuantos libros ahi en cada estanteria
Construir la ecuacion que plantea el problema
Answer:
B = 900 Libros
A = 2700 Libros
C = 1800 Libros
Step-by-step explanation:
A = 3B
2B = C
A + B + C = 5400
3B + B + 2B = 5400
6B = 5400
B = 5400 / 6
B = 900 Libros
A = 3B
A = 3(900)
A = 2700 Libros
C = 2B
C = 2(900)
C = 1800 Libros
Put these in order starting from the smallest
6²
34 25
5³
Note: Please use a comma
between the numbers.
**34 and 25 are 3 to the power of 4 and 25 is 2 to the power of 5** THEY ARE SEPARATE NUMBERS
Answer:
\({2}^{5} , \: {6}^{2} , \: {3}^{4} , \: {5}^{3} \: \: (ans)\)Step-by-step explanation:
Given Numbers:In their exponential form -
\( {6}^{2} \)
\( {3}^{4} \)
\( {2}^{5} \)
\( {5}^{3} \)
On getting simplified -
\( {6}^{2} = 36\)
\( {3}^{4} = 81\)
\( {2}^{5} = 32\)
\( {5}^{3} = 125\)
As stated in question:To order the given numbers from starting with the smaller to the bigger that is, in ascending order.In ascending order -
32, 36, 81, 125Or,
\( {2}^{5} , \: {6}^{2} , \: {3}^{4} , \: {5}^{3} \)Extras:If needed, ordering of the required numbers from bigger to smaller that is in descending order.In descending order -
125, 81, 36, 32Or,
\( {5}^{3} , \: {3}^{4} , \: {6}^{2} , \: {2}^{5} \)Hence, required answer:From small to big that is in ascending order-
\({2}^{5} , \: {6}^{2} , \: {3}^{4} , \: {5}^{3} \: \: (ans)\)
What is the domain of f(x)=5x-7
Answer:
(-infinity, infinity)
Step-by-step explanation:
You’re welcome, sorry I couldn't out the symbols. I don't have them on my keyboard :).
Answer:
R (all real numbers)
R (all real numbers)
Step-by-step explanation:
What is x + 3^2
A. 20
B. 9
C. 10
D. no idea
There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answer:
5
Step-by-step explanation:
What is the value of y?
please hellpp!!!
Answer:
C=54°
Step-by-step explanation:
If u add each angle of a triangle should ways add up to 180°
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.1 kg and a standard deviation of o= 4.6 kg.
Complete parts (a) through (c) below.
b. If 25 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg.
The probability is
(Round to four decimal places as needed.)
The probability that their mean weight gain during freshman year is between 0 kg and 3 kg is 70%
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
Amounts of weight that male college students gain during their freshman year are normally distributed
mean of μ = 1.1 kg and
Standard deviation of o= 4.6 kg.
Z score=x-μ/o
=25-1.1/4.6
=23.9/4.6
=5.196
Z score=x-μ/o
=25-1.1/0
=0
Z score=25-1.1/3
=23.9/3
=7.966
By observing the z table the probability that their mean weight gain during freshman year is between 0 kg and 3 kg is 70%
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tell me the tight answer you get brianliest
Answer:
1,A 2:C
Step-by-step explanation:
Answer:
Addition for 7
-42 + 42 = 0 by adding 42 you get rid of the -42
multiplication for number 8,
x/6 x 6 = x, always do the opposite of their operation for every question like these.
What is the measure of angle AEF
Answer:
B) 144°
Step-by-step explanation:
<AEC=108
<EDG= 180-108=72
<DEF=180-72=108
<AEF=360-108-108=144
yall what is the median here , please help me <3
Answer:
17
Step-by-step explanation:
Answer:
17 is the median because yes
Evaluate the expression if a = 4, b = 9, and c = 1.
3b÷c1−a
–27
–9
9
27
Answer:
Given - a = 4
b = 9
c = 1
To find - Value of equation
Solution -
3b ÷ c^1 - a
Putting the value of a,b and c in the equation
3(9) ÷ (1)^1 - 4
27 ÷ 1 - 4
27 ÷ (-3)
27 × (1 /(-3)
27/(-3)
(-9)
Answer:
-9
Step-by-step explanation:
Substitute the values into the expression.
= 3(9)÷(1)1-4
evaluate/simplify each part first.
= 27÷1-4
= 27÷(-3)
simplify (positive divided by a negative is a negative)
= -9
Write in Slope Intercept Form :-)
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W. 1) The appropriate hypotheses to determine if the manufacturer's claim appears reasonable are H subscript 0 colon________ and H subscript 1 colon________. (2 points) 2) For a test with a level of significance of 0.05, the critical value would be ________. (2 point) 3) The value of the test statistic is ________. (4 points) 4) Is there evidence that a compact microwave oven consumes a mean of no more than 250 W? (2 points)
Answer:
We conclude that a compact microwave oven consumes a mean of more than 250 W.
Step-by-step explanation:
We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.
They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
Let \(\mu\) = mean power consumption for microwave ovens.
So, Null Hypothesis, \(H_0\) : \(\mu\) \(\leq\) 250 W {means that a compact microwave oven consumes a mean of no more than 250 W}
Alternate Hypothesis, \(H_A\) : \(\mu\) > 250 W {means that a compact microwave oven consumes a mean of more than 250 W}
The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;
T.S. = \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\) ~ N(0,1)
where, \(\bar X\) = sample mean power consumption for ovens = 257.3 W
σ = population standard deviation = 15 W
n = sample of microwave ovens = 20
So, the test statistics = \(\frac{257.3-250}{\frac{15}{\sqrt{20} } }\)
= 2.176
The value of z test statistics is 2.176.
Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.
Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.
i need to know the answer to this question
Answer:
Hi Rosie!
To find the y-intercept and slope of the line represented by the equation -8x + 9y = 36, we can convert the equation into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
First, we can isolate the y term on one side of the equation:
9y = 36 + 8x
Dividing both sides by 9:
y = 4 + (8/9)x
So the slope of the line is m = 8/9 and the y-intercept is b = 4.
To verify, we can plug in x = 0 and y = 4 into the original equation:
-8 * 0 + 9 * 4 = 36, which is true.
Therefore, the y-intercept of the line is 4 and the slope is 8/9.
Raiz quadrada de 999999
Answer:
raiz quadrada de 999999 = 999.999499899
raiz quadrada de 999999 = 999.999499899.
Hopefully it will help you
Simplify: -16b4 + (-18b4)
Answer:
-34b4
Step-by-step explanation:
Since the variables are the same b4, you just add the constants (-16 & -18).
On a standardized exam, the scores are normally distributed with a mean of
195 and a standard deviation of 50. Find the z-score of a person who scored
330 on the exam.
The z-score of a person who scored 330 on the exam is approximately 2.7.
To find the z-score of a person who scored 330 on the exam, we can use the formula for calculating the z-score:
z = (x - μ) / σ
where:
z is the z-score
x is the raw score (330 in this case)
μ is the mean (195 in this case)
σ is the standard deviation (50 in this case)
Substituting the values into the formula, we get:
z = (330 - 195) / 50
z = 135 / 50
z = 2.7
The z-score of a person who scored 330 on the exam is 2.7.
The z-score measures the number of standard deviations a particular data point is away from the mean.
In this case, a z-score of 2.7 indicates that the person's score of 330 is 2.7 standard deviations above the mean score of 195.
The z-score is useful for comparing data points across different normal distributions or for determining the relative position of a data point within a distribution.
A positive z-score indicates a value above the mean, while a negative z-score indicates a value below the mean.
In this context, a z-score of 2.7 suggests that the person's score is relatively high compared to the average performance on the exam.
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