Answer:
the scale factor is 3/4
Step-by-step explanation:
15/20= 3/4
6/8= 3/4
Consider the function f(x)=2x√3. For what value of x does f(x)=10?
Answer: 34.64
Step-by-step explanation: you multiply 10 and 2 and that gives you 20 and then u square root 20 and 3 and you get your answer.
the problem.
2/3+1/3+5/3=
The first two steps in the derivation of the quadratic formula by completing the square are shown below.
Which answer choice shows the correct next step?
step 1: ax^2 + bx + c = 0
step 2: ax^2 + bx = -c
ax + b = -c/x
Answer:C
Step-by-step explanation:
The derivation of the quadratic function is true
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
ax² + bx + c = 0
Step 1 :
ax² + bx + c = 0
Step 2 : Subtracting c on both sides , we get
ax² + bx = -c
Step 3 : Divide by x on both sides , we get
ax + b = -c/x
Hence , the steps are true in solving the quadratic equation
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28. Given M₁ = 35, M₂ = 45, and SM1-M2= 6.00, what is the value of t? -2.92 -1.67 O-3.81 2.75
The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
Given, M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.
To calculate the t-value,
the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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DAMIEN NEEDS TO FIND 5 PINTS OF JUICE.THE STORE DOES NOT SELL JUICE IN PINTS, SO DAMIEN BUYS 3 QUARTS OF JUICE. WHICH STATEMENT IS TRUE?
Damien has more than enough juice to fulfill his requirement of 5 pints. The statement that is true is that Damien has bought more than the required amount of juice in pints.
If Damien needs to find 5 pints of juice, he can buy 3 quarts of juice. One quart contains 2 pints, so 3 quarts would contain 6 pints. He has bought a total of 6 pints, which is 1 pint more than what he needed.
This means that Damien can use the extra pint of juice for other purposes or store it for later use. It is important to note that when converting measurements,
it is crucial to understand the equivalent values to avoid over or underbuying. In this case, knowing that 1 quart contains 2 pints helped Damien make an informed decision while shopping.
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Find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches. A. 0.6 B. 0.67 C. 1.67 D. 25 Please select the best answer from the choices provided A B C D
The approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6
To find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches, we will first calculate the surface area (SA) and volume (V) of the ball, and then divide the surface area by the volume.
Step 1: Calculate the surface area (SA) using the formula for the surface area of a sphere:
\(SA = 4 πr^2\)
\(SA = 4 π5^2\)
\(SA = 4 π(25)\)
\(SA=100π\)
Step 2: Calculate the volume (V) using the formula for the volume of a sphere:
\(V = \frac{4}{3} π (r)^{3}\)
\(V = \frac{4}{3} π (5)^{3}\)
\(V = \frac{4}{3} π (125)\)
V = 166.67 π cubic inches
Step 3: Calculate the surface-area-to-volume ratio (SA/V)
\(\frac{SA}{V} = \frac{100}{166.67}\)
\(\frac{SA}{V}=\frac{100}{166.67}\)
\(\frac{SA}{V}= 0.6\)
So the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6. The best answer from the choices provided is A.
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Each side of a square classroom is 7 meters long. The school wants to replace the carpet in the classroom with new carpet that costs $50. 00 per square meter. How much will the new carpet cost?
Answer:
$2450
Step-by-step explanation:
You want the cost of carpeting a 7 m square classroom with carpet costing $50 per square meter.
AreaThe area of the classroom is the product of its dimensions:
A = s²
A = (7 m)² = 49 m²
CostThe cost of the carpet is the product of the number of square meters and the cost of carpet for each.
Cost = (49 m²)($50/m²) = $(49·50) = $2450
The new carpet will cost $2450.
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Question 1: American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one: a. No, because the population distribution is skewed. b. No, because the sample size is less than 30. c. No, because the empirical rule is violated. d. Yes. Clear my choice Question 2: Regardless of your answer to the previous question, calculate this probability using a normal distribution. Report your answer to four decimal places. Question 3: Calculate the probability of observing an average American ladybug length between 0.95 cm and 1.05 cm for a random sample of 20 ladybugs. Give your answer accurate to four decimal places. If you found assumptions to be violated in the previous question, answer this question as if the assumptions had not been violated.
Yes, it is appropriate to compute the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm.
What is meant by standard normal distribution?With a mean of 0 and a standard deviation of 1, the standard normal distribution is a normal distribution. The standard deviation, which indicates how much a given measurement deviates from the mean, is given by the standard normal distribution, which has zero as its center.
As the sample size is sufficient (440000) and the standard deviation is known, it is appropriate to use a normal distribution to estimate the distribution of ladybug lengths. A 1.5 cm long ladybug's z-score can be calculated as follows:
z = (1.5 - 1) / 0.2 = 2.5
We can calculate the likelihood of a z-score being greater than 2.5 using a conventional normal distribution table to be roughly 0.0062. Hence, the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm is around 0.0062 or 0.62%.
Therefore, the correct answer is option d. Yes. Clear my choice.
The complete question is;
American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:
a. No, because the population distribution is skewed.
b. No, because the sample size is less than 30.
c. No, because the empirical rule is violated.
d. Yes. Clear my choice
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16. Algebra In a parallelogram, a base, b, and its corresponding height, h, are in the ratio of 5:3. The area is 135 mm2. Find b and h.
17. Reasoning A triangle has an are of 18 ft2. List all the possible positive integers that would represent it's base and height.
The possible pairs of positive integers that can represent the base and height of the given triangle whose area is 18 ft² are: {4, 9} and {6, 6}
Given that the base, b and the corresponding height, h, of a parallelogram are in the ratio of 5:3
. Also, the area is given as 135 mm2. Now, we need to find the value of base, b and the corresponding height, h.
For a parallelogram, the area is given as A = b * h, where b is the base and h is the height. We know that b:h = 5:3, which can also be written as h = (3/5) * b.
Substituting the value of h in terms of b, we get:A = b * (3/5) * b = 3b²/5 = 135 mm²Multiplying both sides by 5/3, we get:b² = (135 * 5)/3 = 225b = √225 = 15 mm.
Therefore, the value of base, b = 15 mm.And, the value of the corresponding height, h = (3/5) * 15 = 9 mm.
The base of the parallelogram is 15 mm and its height is 9 mm.17. Given that the area of the triangle is 18 ft², we need to list all the possible positive integers that could represent its base and height.For a triangle, the area is given as A = (1/2) * b * h, where b is the base and h is the height.
We know that the area is 18 ft².Substituting the value of A and simplifying, we get:b * h = 2 * 18 = 36There are several pairs of integers whose product is 36. The possible pairs are:{1, 36}, {2, 18}, {3, 12}, {4, 9}, and {6, 6}.
However, not all these pairs will form the base and height of the triangle because the length of the base must be greater than 0 and less than the perimeter of the triangle.
Similarly, the height of the triangle must be greater than 0 and less than the length of the base.Therefore, the possible pairs of positive integers that can represent the base and height of the triangle are: {4, 9} and {6, 6}.
The possible pairs of positive integers that can represent the base and height of the given triangle whose area is 18 ft² are: {4, 9} and {6, 6}.
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there are 40 stores in the Newport mall 12 of the stores in the Newport mall sell clothing what percentage of stores DO NOT sell clothing
Answer:
12 divided by 40 = 0.3
0.3 times 100 = 30%
30% of stores DO sell clothing
Lets subtract
100-30=70%
70% of stores DO NOT sell clothing
Given a function y(x) = √(6x – 2), Find a) Slope of the tangent line at x = 3 b) Equation of tangent line at x = 3
Equation of the tangent line at x = 3 is y = (3/2√10)x – (9/2√10) + 4.
How to evaluate the slope of the tangent line at x = 3?We first need to find the derivative of y(x):
y(x) = √(6x – 2)
y'(x) = (1/2)(6x – 2)⁻¹/²(6)
At x = 3, the slope of the tangent line is:
y'(3) = (1/2)(6(3) – 2)⁻¹/²(6) = 3/2√10
To find the equation of the tangent line at x = 3, we can use the point-slope form of a line:
y – y1 = m(x – x1)
Where m is the slope we just found, and (x1, y1) is the point (3, y(3)). Puting in the values, we get:
y – y(3) = (3/2√10)(x – 3)
Simplifying, we get the equation of the tangent line at x = 3:
y = (3/2√10)(x – 3) + √16 = (3/2√10)x – (9/2√10) + 4
So the equation of the tangent line at x = 3 is y = (3/2√10)x – (9/2√10) + 4.
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The diameter of a circle is 18 in. Find its area in terms of
π
π.
Answer: 81 π.
Step-by-step explanation: To find the area of a circle, you need to multiply the circle's radius squared by pi. However, this problem is in terms of pi, so we're just going to find the radius squared. We're given the diameter, but we can simply cut it in half since the radius is half the diameter. The diameter for this circle is 18, so divide 18 by 2, and 9 is your radius. 9^2 is 81, so 81 π is your answer in terms of pi because when you find the radius squared, you put pi next to it.
Have a great day! :)
Answer: the area is 81π
Step-by-step explanation:
The formula is A=πr
^{2}
The raidius would be 9 (18/2)
A=π9^{2}
π x 9^{2} = 81π
Decimal form: 254.469004941
for what values of x does 5x^2+4x-4=0
Answer: See explanation
Step-by-step explanation:
x=-(2-2*the square root of 6)/5, about 0.58
or
x=-(2+2*the square root of 6)/5, about -1.38
The values of the x from equation \(5x^2+4x-4=0\) are x = 0.5798 and -1.38.
Given that:
Equation: \(5x^2+4x-4=0\)
To find the values of x that satisfy the equation \(5x^2+4x-4=0\), use the quadratic formula:
\(x = \dfrac{ -b \± \sqrt{b^2 - 4ac}}{ 2a}\)
Compare the equation with \(ax^2 + bx + c = 0\).
Here, a = 5, b = 4, and c = -4.
Plugging in the values to get,
\(x = \dfrac{-4 \± \sqrt{4^2 - 4 \times 5 \times (-4)}}{2 \times 5} \\x = \dfrac{-4 \± \sqrt{16 +80}}{10} \\x = \dfrac{-4 \± \sqrt{96}}{10}\\x = \dfrac{-4 \± {4\sqrt6}}{10}\)
So the solutions for x are calculates as:
Taking positive sign,
\(x = \dfrac{-4 + {4\sqrt6}}{10}\\x = \dfrac{-4 + {9.798}}{10}\\\)
x = 5.798/10
x = 0.5798
Taking negative sign,
\(x = \dfrac{-4 - {4\sqrt6}}{10}\\x = \dfrac{-4 - {9.798}}{10}\\\)
x = -13.798/10
x = -1.38
Hence, the exact solutions for the equation \(5x^2 + 4x - 4 = 0\) are x = 0.5798 and -1.38.
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A scale drawing of a red blood cell is shown below. If the blood cell’s actually diameter is 0.008 millimeter, use a ruler to find the scale factor of the drawing.
0000.3
Step-by-step explanation:
because I need points lolol
PLEASE ANSWER!!!!
Yusuf tried to solve an equation step by step.
1/4r+2=10
Step 1:
1/4r=12
Step 2:
R=48
Find Yusuf's mistake.
Choose one answer:
A.) Step 1
B.) Step 2
C.) Yusuf didn't make a mistake
Answer:
Step-by-step explanation:
Step one is not correct. He got 12. He should have obtained 10 -2 = 8. You need to subtract 2 on the left to get rid of the 2 there. So you must subtract 2 on the right.
Answer: Step one contains the error.
Answer:
A. Step 1
Step-by-step explanation:
I did it on khan so its right
please help me with this question it is urgent
Answer:
4 1/3, 4.337, 35/8, 4.44
Step-by-step explanation:
4.337, 4 1/3, 35/8, 4.44
4 1/3 = 13/3 = 4.333
35/8 = 4.375
So, the order from least to greatest is: 4 1/3, 4.337, 35/8, 4.44
Answer:
4 1/3, 4.337, 35/8, 4.44
Step-by-step explanation:
"order from least to greatest" means put the smallest first and each next one bigger and the biggest one last.
Change everything to decimals to compare.
A fraction bar is just a division symbol.
1/3 means 1÷3 which is .33333...
4 1/3 = 4.33333...
35/8 means 35÷8
= 4.375
Smallest is 4.333...
So 4 1/3 goes first.
Then 4.337 and next 35/8 (bc 4.375)
Last is biggest 4.44 so it goes last.
In order from least to geatest is:
4 1/3, 4.337, 35/8, 4.44
Determine the intercept of the line
State the explicit formula for the sequence below and find the 8th term.
-4, 16, -64, 256,...
O an = -4(4)n-1; n = 8 is-262,144
O an = -4(-4)-1; n = 8 is 65,536
O an = 4(4)n-1; n = 8 is 65,536
O a = 4(-4)n-1; n = 8 is 261,144
6.25 pts
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The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
The given sequence is -4, 16, -64, 256,...
If we observe the sequence it is a geometric sequence
aₙ=a.rⁿ⁻¹
a is the first term and r is the common ratio
From the sequence the first term is -4 and common ratio is -4
aₙ=(-4).(-4)ⁿ⁻¹
Plug in the value n as 8
a₈=(-4).(-4)⁷
The value of minus four power seven is minus sixteen thousand three hundred eighty four
a₈=(-4)(-16384)
When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six
a₈= 65536
Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
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sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to:
Sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to underestimate the true population variance and standard deviation.
The reason for this is that the sample variance and standard deviation are based on a sample of the population, not the entire population. The sample may not accurately represent the entire population, and thus the sample variance and standard deviation may not accurately reflect the true population variance and standard deviation. To correct for this bias, a correction factor is usually added to the sample variance calculation. For example, when estimating the population variance from a sample of size n, the sample variance is divided by (n-1) instead of n. This correction factor helps to provide a more accurate estimate of the population variance. Similarly, the sample standard deviation is calculated as the square root of the sample variance, and the correction factor is also applied to the sample standard deviation calculation. This corrected sample standard deviation is known as the unbiased sample standard deviation.
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Complete Question
sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to: What?
which graph shows the solution to the system of linear equations?
y=-1/3x+1
y=-2x-3
y = -1/3x + 1
y = -2x - 3
We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.
The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.
The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.
Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.
Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.
Help! I need to know if 7√3+2√9 is rational or irrational
Answer:
Irrational
Step-by-step explanation:
\(7\sqrt{3}+2\sqrt{9}= \\\\7\sqrt{3}+2(3)= \\\\6+7\sqrt{3}\)
Therefore, this is irrational. Hope this helps!
7b. How many times does a tire with a diameter of 36 in. rotate when it
travels a mile? **Tip: As there are 63,360 in. in each mile, 63,360 divided by
circumference = number of full rotations. Round up to the next whole
number.
561 rotations
281 rotations
880 rotations
440 rotations
* 1 point
Answer:
Step-by-step explanation:
i need help asap! this lesson is hard and im trying to understand it
Answer:
59
29.33
Step-by-step explanation:
Recall SOH CAH TOA
SOH= Sinα=opposite/hypotonouse
CAH= cosα=adjacent/hypotonouse
TOA= tanα=opposite/adjacent
To find angle C we'll use TOA
which means we take the lenght opposite to d and adjacent to d
which means we have
tand=10/6
d=tan⁻1(10/6)
d=59
to find length z let's use SOH CAH TOA again (for the practice)
This time let's use angle z and SOH
which means we have
sin(64.5)=z/32.5
Solve for z
32.5sin(64.5)=z
z=29.33
*note* if you use a²+b² for number two you get a sligthly different answer. This is because when they rounded when they wrote 64.5**
Can anyone give me examples of this songwriting project?
Answer:
First find what to sing about. Next get your rythim. Last get the lyrics together.
Step-by-step explanation:
Benny the tiger, eats 12.5 pounds of meat per day. Each pound of meat costs $3.10. Jasmine prefers hay and alfalfa. She eats 200 pounds a day.Which animal cost more to feed each day? Show how you know
Answer:
Benny the tiger costs more to feed each day because he eats 12.5 pounds of meat per day, which costs $38.75 ($3.10 x 12.5). Jasmine eats 200 pounds of hay and alfalfa, which costs $0.00, since hay and alfalfa are not typically purchased with money. Therefore, Benny the tiger costs more to feed each day.
On Tuesday afternoon at camp, Eve did archery and sailing before dinner. Archery started at 12:30p.m. Eve spent 1 hours and 25 minutes at archery and 45 minutes sailing. What time did sailing end?
Answer:
2:40
Step-by-step explanation:
Add 85 minutes to 45 minutes and then add that to 12:30
please help me answer this
for the first box, the options are: 28, 46, 65, 72
for the second box, the options are: 33, 54, 57, 86
for the third box, the options are: did, or did not.
The relative frequency of East side voters who plan to vote for Luis is 65% and relative frequency of west side voters who plan to vote for Luis is 57%
We have to find the relative frequency of East side voters who plan to vote for Luis
East side =72 who voted Luis
The total population from Luis is 110
x/100×110=72
1.1 x=72
x=65%
Now have to find the relative frequency of west side voters who plan to vote for Luis
west side =84 who voted Luis
The total population from Luis is 150
x/100×150=84
1.5x=84
x=57%
Hence, the relative frequency of East side voters who plan to vote for Luis is 65% and relative frequency of west side voters who plan to vote for Luis is 57%
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If you please tell me what this I will give 15 points and of thanks!
Answer:
y = x+8
Step-by-step explanation:
You find the difference between the value of y and value of x which is 8 so no matter what x is you always add 8 to get the y value. :)
Answer:
y = x + 8
Step-by-step explanation:
Find the difference between each x and y-value :
Let's take the pair (18, 26)
y = x + _26 = 18 + __ = 8Apnex, Inc. , is a biotechnology firm that is about to announce the results of its clinical trials of a potential new cancer drug. If the trials are successful, Apnex stock will be worth $ 68 per share. If the trials are unsuccessful, Apnex stock will be worth $ 18 per share. Suppose that the morning before the announcement is scheduled, Apnex shares are trading for $ 56 per share
The probability of the trials being successful is 0.625 or 62.5%. So, the expected value of Apnex stock after the announcement is $53.25 per share.
The odds of the trials being successful or failed, as well as the associated stock prices, must be taken into account in order to determine the predicted value of Apnex shares after the announcement.
we can state:
P(success) + P(failure) = 1
Let the market has already taken the probability into account and that the $56 stock price at the moment reflects the stock's anticipated value following the announcement. To put it another way, we can construct an equation based on the anticipated value formula:
Estimated Value = $68 for success and $18 for failure
Also, we are aware that the present stock price and the predicted value are equal:
Estimated Value = $56
When the second equation is substituted for the first equation, we obtain:
P(success) x $68 plus P(failure) x $18 equals $56.
For P(success), we obtain:
P(success) is equal to ($56 - $18) / ($68 - $18), or 0.625.
Thus, 0.625 or 62.5% of the trials will be successful.
We may determine the anticipated value of the shares following the announcement using this probability:
Estimated Value: 0.625 times $68 plus 0.375 times $18 equals $53.25
therefore, $53.25 per share is the anticipated value of Apnex shares following the announcement.
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When completing a dilation, how do the
angles and side lengths of the preimage
relate to the angles and side lengths of the
image?
Answer:
The angles do not change, but the side lengths can either be increased or decreased depending on the scaling factor used.
Step-by-step explanation:
A dilation is a type of rigid transformations that involves either increasing or decreasing the dimensions of a given object with respect to a required factor.
The size of the angles of the preimage and image are congruent. This implies that the value of the angles are not affected by the process. But the side length of the image can be either longer or shorter than that of the preimage depending on the scaling factor used.