How is the graph of y=^3√0.5x related to its parent function,y=^3√x ? A.It is horizontally stretched by a factor of 0.5 B. It is horizontally compressed by a factor of 0.5 C. It is translated left by 0.5 units D. It is translated right by 0.5 units

Answers

Answer 1

For this case we have the following function:
y = ^ 3√x
Applying the following transformation we have:
Expansions and horizontal compressions
The graph of y = f (bx):
If 0 <b <1, the graph of y = f (x) expands horizontally by the factor of 1 / b.
y = ^ 3√0.5x
Answer:
A.It is horizontally stretched by a factor of 1 / 0.5

Related Questions

y varies inversely x and y =-4 when x =7 . find the constant of variation and use it to write the equation that relates the variables

Answers

When y varies inversely with x, we have the follow equation:

y = kx

k = constant of variation

To find k, plugin the values for y = -4 and x = 7 and then solve for k

y = kx
-4 = k7
-4 / 7 = k7/7
-4 / 7 = k
k = -4 / 7
Now that we found k, we write the equation that relates the variables like below
[tex]y = -\frac{4}{7}x[/tex]

Which of the following options represeWrite the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.nts the form of a linear equation that should be used to write the equation of a line when the slope and a point on the line are given? general form standard form factored form point-slope form

Answers

The generic equation of the line is:
y-yo = m (x-xo)
Where,
m = (y2-y1) / (x2-x1)
m = (1-6) / (- 6-6)
m = (- 5) / (- 12)
m = 5/12
We choose an ordered pair:
(xo, yo) = (6, 6)
Substituting values:
y-6 = (5/12) (x-6)
y = (5/12) x - 2.5 + 6
y = (5/12) x + 3.5
y = (5/12) x + 7/2
Answer:
the equation of the line is:
y = (5/12) x + 7/2

Using two-point slope form;
y-yo = m (x-xo)
m = (y2-y1) / (x2-x1) m = (1-6) / (- 6-6) m = 5/12

y-yo = 5/12 (x-xo)
use (6,6) as(xo,yo)

y-6 = (5/12) (x-6)

y = (5/12) x + 7/2

what integer and 9 have the product of -135

Answers

The answer would be -15

-15 times 9 equals -135

:) Have a nice day and maybe consider grading this answer brainliest? <3

10 cm^3 of a normal specimen of human blood contains 1.2 g of hemoglobin. How many grams does 39 cm^3 of the same blood contain?

39 cm^3 of blood contains
............. grams of hemoglobin.

Answers

This is a question of direct proportionality. The mass of hemoglobin is expected to increase with increase in volume of the blood.
Therefore;

10 cm^3 of blood ---------- 1.2 g of hemoglobin
39 cm^3 of blood ---------- x g of hemoglobin

The,
x = (39*1.2)/10 = 4.68 g of hemoglobin.

That is, 39 cm^3 of blood contains 4.68 grams of hemoglobin.

Round off 1563385 to the nearest million?

Answers

1,563,385

Look at the millions place. 1 is in the millions place.
Now look at the number to the right of 1.
Since it is 5 or greater, round 1 up to 2.
Change all the numbers after 1 to 0.

1,563,385 rounded to the nearest million is 2,000,000.

To round 1,563,385 to the nearest million, we look at the hundred-thousands digit (5), and since it's 5 or greater, we round up to 2,000,000.

To round off 1,563,385 to the nearest million, look at the hundred-thousands digit, which is 5 in this case.

If it is 5 or greater, we round up; if it is less than 5, we round down.

Since our hundred-thousands digit is 5, we round up, so 1,563,385 rounded to the nearest million is 2,000,000.

Which values are outliers?

5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9

Select Outlier or Not Outlier for each data point.

Data Outlier Not Outlier
0.8
1.1
10.2
10.9

Answers

The outliers are 0.8, 1.1, 10.2, and 10.9. The rest are not outliers.

A value is typically considered an outlier if it is less than Q1 - 1.5 [tex]\times[/tex] IQR or greater than Q3 + 1.5 [tex]\times[/tex] IQR.

First, we need to arrange the data in ascending order:

0.8, 1.1, 4.9, 5.2, 5.8, 5.9, 6.1, 6.1, 7.4, 10.2, 10.9

Next, we find the first quartile (Q1), which is the median of the first half of the data:

(4.9 + 5.2) / 2 = 5.05

We find the third quartile (Q3), which is the median of the second half of the data:

(6.1 + 7.4) / 2 = 6.75

Now, we calculate the interquartile range (IQR):

IQR = Q3 - Q1 = 6.75 - 5.05 = 1.7

The lower bound for outliers is:

Q1 - 1.5 [tex]\times[/tex] IQR = 5.05 - 1.5 [tex]\times[/tex] 1.7 = 5.05 - 2.55 = 2.5

The upper bound for outliers is:

Q3 + 1.5 [tex]\times[/tex] IQR = 6.75 + 1.5 [tex]\times[/tex] 1.7 = 6.75 + 2.55 = 9.3

Now we can determine which values are outliers:

0.8 is less than the lower bound (2.5), so it is an outlier.

1.1 is less than the lower bound (2.5), so it is an outlier.

10.2 is greater than the upper bound (9.3), so it is an outlier.

10.9 is greater than the upper bound (9.3), so it is an outlier.

The remaining values (4.9, 5.2, 5.8, 5.9, 6.1, 6.1, 7.4) are not outliers as they fall within the range of Q1 - 1.5 [tex]\times[/tex] IQR and Q3 + 1.5 [tex]\times[/tex] IQR.

Hey can you please help me posted picture of question

Answers

Vertical stretch by a factor of 14 means multiplying the function value by 14.

So, vertical stretch will result in:

14x

Flipping over y-axis means changing the sign of x.

So, the resultant function will be:

G(x) = -14x

Thus, the A option is the correct answer

how does the division look for 8.43206 ÷ 26

Answers

The division looks like 8.43206/26, or 0.32431in decimal form.

Have a great day!

x−18 , if x<18. Please help asap!

Answers

If x < 18 then you can subtract both sides by 18 and you would get x - 18 < 18 - 18 = 0

So that would be x - 18 < 0.

Hope this helps.

If x < 18 then you can subtract both sides by 18 and you would get x - 18 < 18 - 18 = 0

So that would be x - 18 < 0.

Hope this helps.

by what power of 10 should you multiply the divisor to make it a whole number?

0.82÷6.232

Answers

The divisor has 3 digits to the right of the decimal point. It will be a whole number when multiplied by 10 to the power of 3.

PLZ HELP ASAP CIRCLES

Answers

First we have to convert the equation to standard form to find its center and radius.

[tex] x^{2} -10x+ y^{2}-10y=-25 \\ \\ x^{2} -2(x)(5)+25 +y^{2}-2(y)(5)+25=-25+50 \\ \\ (x-5)^{2}+(y-5)^{2}=25 [/tex]

So, the center of the circle is (5,5) with radius equal to 5.

So, Draw the circle placing the center at (5,5) and with radius equal to 5.

Find an equation of the line described. Write the equation in slope-intercept form when possible. Slope 1, through (-4,3)

Answers

The equation of the line:

[tex]y=mx+b[/tex]

The point-slope form of the equation of the line:

[tex]y-y_1=m(x-x_1)[/tex]

We have:

[tex]m=1\ and\ A(-4;\ 3)\to x_1=-4\ and\ y_1=3[/tex]

Substitute:

[tex]y-3=1(x-(-4))\\\\y-3=x+4\ \ \ |+3\\\\\boxed{y=x+7}[/tex]

Scm> (define (square x) (* x x)) square scm> (define (add-one x) (+ x 1)) add-one scm> (define (double x) (* x 2)) double scm> (define composed (compose-all (list double square add-one))) composed scm> (composed 1) 5 scm> (composed 2) 17

Answers

An aficaelephant ate 1224 kilograms of food in 9 days on average how many kilograms is this each day

Final answer:

The question involves function definitions and compositions in Scheme, a programming language. 'Square' squares its input, 'add-one' adds one to its input, and 'double' doubles its input. The composed function applies these operations sequentially.

Explanation:

The student's question involves programming in the Scheme language, a dialect of Lisp. It presents a series of function definitions, including square, add-one, and double, and a function composition involving these three functions.

The square function takes an input 'x' and returns the square of it, which means x is multiplied by itself. In programming, this multiplication can be symbolized as (* x x). The add-one function simply adds 1 to the input, and the double function multiplies the input by 2.

Lastly, there is a composed function that applies all these functions in a sequence. If you apply the composed function to the number 1, we obtain '5' which is calculated as: double(square(add-one(1))) = double(square(2)) = double(4) = 8. If applied to the number 2, we obtain '17': double(square(add-one(2))) = double(square(3)) = double(9) = 18.

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Patrick's favorite shade of purple paint is made with 4 ounces of blue paint for every 3ounces of red paint.

Which of the following paint mixtures will create the same shade of purple?

Choose 2 answer

Blue : 4x2=8
Red : 3x2=6
Blue :4x5=20
Red:3x5=15
The following mixtures will create Patrick's favorite shade of purple:

:8ounces of blue paint mixed with 6ounces of red paint

:20 ounces of blue paint mixed with 15 ounces of red paint

Answers

The ratio of Blue to red in the purple shade that Patrick wants is:
Blue:red=4:3
The mixtures that will create the same shade of purple is:

a] 8ounces of blue paint mixed with 6ounces of red paint
because the ratio of blue to red is 4:3
and
b] 20 ounces of blue paint mixed with 15 ounces of red paint
because the ratio of blue to red is 4:3

Answer:

actually its b and d

Step-by-step explanation:

according to khan academy

The sum of Andy and Brett's ages is 44. Andy's age is 8 more than twice Bret's age. Find the solution.

Answers

Final answer:

The ages of Andy and Brett can be determined by setting up two equations from the given information and solving for their ages. Andy is 32 years old, and Brett is 12 years old.

Explanation:

The subject of this question is Mathematics. The question falls under algebraic problem-solving typically taught in middle school. To find Andy and Brett's ages, we can set up two equations based on the given information.

Let A represent Andy's age, and B represent Brett's age. According to the problem, we have:

A + B = 44 (since the sum of their ages is 44)A = 2B + 8 (since Andy's age is 8 more than twice Brett's age)

We can substitute the second equation into the first:

(2B + 8) + B = 443B + 8 = 443B = 36B = 12

Brett is 12 years old. Now, we can find Andy's age using the second equation:

A = 2(12) + 8A = 24 + 8A = 32 years old

So, Andy is 32 years old, and Brett is 12 years old.

Final answer:

The sum of Andy and Brett's ages can be found using a system of equations. We can solve the equations to find Andy's age is 32 and Brett's age is 12.

Explanation:

The problem can be solved using a system of equations.

Let's assume Andy's age is 'x' and Brett's age is 'y'.

We are given that the sum of their ages is 44, so the equation is: x + y = 44.

Additionally, Andy's age is 8 more than twice Brett's age, so we have another equation: x = 2y + 8.

Now we can solve this system of equations to find the values of x and y.

Substituting the value of x from the second equation into the first equation, we get (2y + 8) + y = 44. Simplifying this equation gives us 3y + 8 = 44. Subtracting 8 from both sides, we have 3y = 36. Dividing both sides by 3, we get y = 12. Substituting this value back into the first equation, we find x = 32.

Therefore, Andy is 32 years old and Brett is 12 years old.

if a circle has a radius of 13 and a sector defined by a 7.4 degree arc, what is the area, in cm2, of the sector? round your answer to the nearest tenth.

Answers

For this case the area of the sector is given by:
A = (S '/ S) * (pi) * (r ^ 2)
Where,
S '/ S = relation of arcs
r: radius of the circle
Substituting values we have:
A = (7.4/360) * (3.14) * (13 ^ 2)
A = 10.9080111
Rounding off we have:
A = 10.9 cm^2
Answer:
the area of sector is:
A = 10.9 cm^2

hey can you please help me posted picture of question

Answers

The answer is true.

Method 1:
The given function is a cubic function. And inverse of a cubic function is also a function.

Method 2:
Since the function is one-to-one function i.e it passes the horizontal line test, its function will pass the vertical line test which is a test if a relation is a function or not.

So, yes the inverse of G(x) will be a function.

The mean for your data set is 13. The standard deviation is 2.5. What is the z-score for 10? Note 1: If necessary, round your answer to 3 decimal places

Answers

Z-score is given by the formula:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
thus the z-score for the data set with mean 13 and standard deviation of 2.5 will be:
z=(10-13)/2.5
z=-1.2

a bucket contains 50 lottery balls numbered 1-50.one is drawn at random.Find p(multiple of 6/2-digit number)

Answers

This is a problem of conditional probability that can be calculated by the formula:
P(B | A) = P(A ∩ B) / P(A)

We know that:
- between 1 and 50 there are 41 two-digit numbers, therefore
P(A) = 41/50 = 0.82

- between 1 and 50 there are 8 multiples of six, therefore
P(B) = 8/50 = 0.16

- between 1 and 50 there are 7 two-digits mutiples of six, therefore
P(A ∩ B) = 7/50 = 0.14

Now, we can calculate:
P(B | A) = P(A ∩ B) / P(A)
= 0.14 / 0.82
= 0.17

Therefore, the probability of getting a multiple of 6 if we draw a two-digit number is 17%.

which of the following is the converse of the statement "If it is my birthday, then it is September"?

Answers

if it is september, then it is my birthday

How many fluid ounces in 8 ounces and 5 cups?

Answers

48 fluid ounces is the right answer

use the product-to-sum identities to rewrite the following expression
sin 14° cos50°
Need help with hw, willing to give $$

Answers

General identity:
[tex]sin(x) cos(y) = \frac{1}{2} (sin(y+x) - sin(y-x))[/tex]

In this example, x = 14, y = 50

Answer: D
[tex]\frac{1}{2} (sin(64) - sin(36))[/tex]

Pablo randomly picks three marbles from a bag of eight marbles (four red ones, two green ones, and two yellow ones).

How many outcomes are there in the sample space?

Answers

Final answer:

The sample space for drawing 3 marbles from a bag of 8 marbles is 56. This is determined using the combinations formula in statistics and probability, which takes into account the number of items and the number of draws.

Explanation:

The question you're asking relates to the concept of combinations in probability and statistics. When Pablo picks three marbles from a bag of eight marbles without replacement, he changes the number of possibilities with each draw. The sample space of his experiment consists of all possible outcomes he could get when drawing the three marbles.

The number of outcomes is determined by calculating the combination of 8 items taken 3 at a time. The formula for combinations is:

C(n, r) = n! / r!(n - r)!

Substituting the given values:

C(8, 3) = 8! / 3!(8 - 3)!

C(8, 3) = 8! / 3!5! = (8 x 7 x 6) / (3 x 2 x 1) = 56

So, the sample space for this experiment contains 56 possible outcomes.

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Final answer:

The question is about calculating combinations in combinatorics, a topic in mathematics. For a bag containing 8 marbles and picking 3 at a time, there are 56 possible outcomes or ways in which the marbles can be drawn from the bag.

Explanation:

The number of outcomes in the sample space can be found by multiplying the number of choices for each marble. In this case, Pablo is picking three marbles from a bag of eight marbles. The number of outcomes is determined by the combination formula: nCr = n! / (r! * (n - r)!). So, for Pablo picking three marbles from eight marbles, the number of outcomes in the sample space is:

nCr = 8! / (3! * (8 - 3)!)

nCr = 8! / (3! * 5!)

nCr = 8 * 7 * 6 / (3 * 2 * 1) = 56.

Therefore, there are 56 outcomes in the sample space.

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Kelly estimates it will take her 35 minutes to make the punch and 45 minutes to set up. Will Kelly finish before the guests arrive if she starts at 11:45 a.m? Explain your answer. (Kelly's guests will arrive at 1:30)

Answers

Kelly will have enough time to finish before the guests arrive because 45+35 = 1 hour and 10 mins, which adds that with 11:45, it would be 12:55 when she finishes. Making it possible.

name a pair of fractions that use the least common denominator and are equivalent to 9/10 and 5/6

Answers

I think they are 81/90 and 75/90

how many problems must be answered correctly on a math test with 60 problems to get a score of 85%

Answers

You would have to answer 51 questions correctly. To get this, multiply .85 (85% as a decimal) by 60. So 51 is 85% of 60.

[tex]\begin{array}{ccc}60&-&100\%\\x&-&85\%\end{array}\\\\\text{cross multiply}\\\\100\cdot x=60\cdot85\\\\100x=5100\ \ \ |:100\\\\\boxed{x=51}[/tex]

Answer: 51 problems.

Hey can you please help me posted picture of question

Answers

There are total 4 outcomes

We can get:
Head, Head
Head, Tail
Tail, Head
Tail, Tail

So, tossing 2 coins, result in 4 possible outcomes which make the sample space.

So correct answer is option B

I agree with
11beehshahbaz
answer gl

What is the correct inverse function for f(x) = e2x ?

Answers

To solve this problem you must appy the proccedure shown below:

1. You have the following function given in the problem above:

f(x)=e^2x

2. You can rewrite is:

y=e^2x

3. Interchange the variables, as below:

x=e^2y

3. The inverse of an exponential function is the logarithm function. Thereforem you have:

ln(x)=ln(e^2y)
ln(x)=2y

4.Then, you have:

y=ln(x)/2

Therefore, the answer is:

f^-1(x)=ln(x)/2

the snowfall in year 1 was 2.03 meters .the snowfall in year 2 was 1.6 meters .how many total meters of snow fell in years 1 and 2

Answers

To find the total amount of snowfall for both these years, you will add the amounts that fell each year together.

2.03
+1.60
3.63

It is important to line up your decimal points because when you are adding anything, you must add units that are the same. Lining up the decimal points puts the units in order automatically!

A pair of two distinct dice are rolled six times. suppose none of the ordered pairs of values (1, 5), (2, 6), (3, 4), (5, 5), (5, 3), (6, 1), (6, 2) occur. what is the probability that all six values on the first die and all six values on the second die occur once in the six rolls of the two dice?

Answers

The probability that all six values on the first die and all six values on the second die occur once in the six rolls of the two dice, given the constraint that none of the forbidden pairs occur, is approximately 0.054%.

Here's the breakdown of the calculation:

Total possible outcomes:

Each die has 6 possible outcomes, so for 6 rolls, there are 6^6 = 46,656 possible combinations of rolls.

Outcomes with forbidden pairs:

We need to subtract the outcomes that contain any of the forbidden pairs.

There are 7 forbidden pairs, and each pair can occur in 6 different roll positions (e.g., (1, 5) could occur in the first roll, second roll, etc.).

However, we need to account for duplicates, as some of the forbidden pairs overlap in terms of the numbers involved (e.g., (5, 3) and (5, 5) both involve a 5 on the first die).

After careful calculation, considering the overlaps, there are 54 unique combinations with forbidden pairs.

Favorable outcomes:

We want all 6 values on each die to occur once.

There are 6! (6 factorial) = 720 ways to arrange the 6 values on the first die, and 720 ways to arrange the 6 values on the second die.

However, we don't care about the order within each die, so we divide by 6! twice to account for overcounting.

This leaves us with 720^2 / (6!)^2 = 1 favorable outcome.

Probability:

Probability = Favorable outcomes / Total possible outcomes

Probability = 1 / (46,656 - 54) ≈ 0.0005401235

Therefore, the probability of this specific event occurring is approximately 0.0005401235, or about 0.054%.

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A solution is made by dissolving 24 g of NaCl to make 475 ml of solution. Calculate the concentration in units of molarity by following these steps: a) Convert the grams of NaCl to moles of NaCl. b) Calculate the liters of solution by dividing the given milliliters by 1000. c) Divide moles by the liters of solution. Symbolism and imagery are: A.)interchangeable B.) the same thing C.) altogether different poetry elements D.)to be used in conjunction with one another on Monday morning Mary woke up with the stomach ache her mom checked her temperature she had a high fever Mary's mom gave her medicine to bring the fever down her mom told her to stay in bed and rest Mary felt sad that she would not be able to make it to school on Monday Mary's mom stayed home with her later that morning Mary's mom took her to the doctor the doctor gave married medicine for her stomach ache Mary felt better and was ready to go to school the following day what is the best summary of The Selection Members of The same community always belong to The same In what major way was us involvement in vietnam different from us involvement in korea? Individual reactions to experiences are _? ohn would like to move from the suburbs into the city, but the rent in the city is very high. John has found an apartment he really likes, but he can only afford about 60% of the monthly rent. What is the best housing option for John? how to write function in standard form[tex]f(x) = (2 \times + 1)(x + 1)(x - 1)[/tex] Which of the following is located in the temperate climate zone? grasslands rain forest taiga tundra The volume of a gas is doubled while the temperature is held constant. How does the gas pressure change What can congress do to influence foreign and defense policy if it is not satisfied with the president's handling of these policies? 41/17 as a decimal rounded to the nearest tenth Gina knows that her dad has epilepsy and has occasional seizures. When her dad has a seizure, she responds with appropriate first aid. The seizure lasts for 2.5 minutes and does not reoccur. When the seizure is over, her dad is tired and confused but appears to be fine. Gina is debating calling 911. What should she do? HELP ! I've been stuck on this for over 15 mins. :(What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5? an = 8 5(n 1); all integers where n 1 an = 8 5(n 1); all integers where n 0 an = 8 3(n 1); all integers where n 1 an = 8 3(n 1); all integers where n 0 Review the following list of modern inventions: Personal computer Internet Cell phone Digital camerasIn the space provided, list each invention according to its relative importance. Then, write a paragraph explaining why you ordered your list the way you did. The fact that participating in an internet auction means that you will need to purchase a computer, learn to use it, and pay for internet access, is an example of ________ costs. What is log base 5(4*7 )+log base 5 of 2 written as a single log?A.log base 5 of 21B.log base 5 of 26C.log base 5 of 30D.log base 5 of 56 What happens when a neuron is stimulated by another neuron? Review the map above. Based on this map, which of the following is a valid conclusion about the routes titled "Other Major Routes"? A. They ended before the tribes reached reservation lands.B. They covered regions that were empty of natural resources.C. They were the most difficult because of mountain ranges.D. They were the most direct of those shown in the map. amelia and 2 of her friends went out to lunch. each girl ordered exactly the same meal. the total cost 55.08, which included 8% sales tax. what was the price of each meal, not including tax?