If you apply the changes below to the quadratic parent function, f(x) equals X to the second power, what is the equation of the new function
Shift 3 units right.
Vertical stretch by a factor 4.
Reflect over the x axis

Answers

Answer 1

The equation of the new function after the transformations is given as follows:

f(x) = -4(x - 3)²

How to obtain the equation after the transformations?

The parent function in this problem is defined as follows:

f(x) = x².

The translation of 3 units right means that we must obtain f(x - 3), that is:

f(x) = (x - 3)².

The vertical stretch by a factor of 4 means that the function must be multiplied by 4, hence:

f(x) = 4(x - 3)².

The reflection over the x-axis means that the function must be multiplied by -1, hence:

f(x) = -4(x - 3)².

More can be learned about transformations at https://brainly.com/question/28687396

#SPJ1


Related Questions

What is 5/6 −2/4 ? Please i dont know help

Answers

Answer:

ok. its  8/24. but if you got to simplify its 1/3

Step-by-step explanatin

you do 5*4 (the numerator) and 6*4(the denomerator).

this is the lcd(least comon )denominator.

repaet the steps for 2/4 but multiply by 6 on each number

once    

thats

done

its

your

answer

Answer:

5/6 – 2/4

= (10–6)/12

= 4/12

= 1/3


Help me please :( thank you

Help me please :( thank you

Answers

Answer:

A

Step-by-step explanation:

Answer:
A


Step by step explanation

Which is the next step in the following construction of an equilateral triangle?

circle with center P and point A along circles edge, arcs along the circle at points B, C, D, E, and F in alphabetical order, and a line segment connecting points A and C

Answers

Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have:

Circle with centre P and point A along the circle's edge, arcs along the circle at points B, C, D, E, and F in alphabetical order, and a line segment connecting points A and C.

A triangle with three sides that are all the same length and three angles that are all the same size (60°) is called an equilateral triangle.

Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.

Thus, connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1


5x + y = 27
- 10x + 7y = -36 what is the x-coordinate

Answers

Answer:

For 5x + y = 27;  \(x=\frac{-1}{5}y+\frac{27}{5}\)

For -10x + 7y = -36;   \(x=\frac{7}{10}y+\frac{18}{5}\)

Step-by-step explanation:

None because it will be in the screenshots.

Mark me brainliest if you can when someone else answers, if not then it's alright. Have a good day! :D

 5x + y = 27- 10x + 7y = -36 what is the x-coordinate
 5x + y = 27- 10x + 7y = -36 what is the x-coordinate

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The x-coordinate of the solution can be found by subtracting the second equation from 7 times the first.

  7(5x +7) -(-10x +7y) = 7(27) -(-36)

  45x = 225 . . . . . simplify

  x = 5 . . . . . . . . . . divide by 45

The x-coordinate of the solution is 5.

_____

The y-coordinate is 2.

 5x + y = 27- 10x + 7y = -36 what is the x-coordinate

what do mathematicians do after a snowstorm

Answers

mathematicians make snow angels

Omg y’all pls help me with this I’m so stuck

Omg yall pls help me with this Im so stuck

Answers

Answer:

E

Step-by-step explanation:

Answer:

A, C, D

Step-by-step explanation:

if you substitute x with the given value, you'll see that their answers are all less than 4 (<4)

A = -1-1 = -2

C = 4-1 = 3

D = 0-1 = -1

i dont know how to do this please help

i dont know how to do this please help

Answers

Answer:

4

Step-by-step explanation:

Answer:3

Step-by-step explanation:

Define units for the time that Marshall has the beans and the amount of coffee beans that Marshall has left.

Define units for the time that Marshall has the beans and the amount of coffee beans that Marshall has
Define units for the time that Marshall has the beans and the amount of coffee beans that Marshall has
Define units for the time that Marshall has the beans and the amount of coffee beans that Marshall has

Answers

After 4 weeks the amount of coffee that Marshall will have left would be = 20 ounces.

How to calculate the amount of coffee left?

The amount of ground coffee that Marshall bought for his office machine = 40 ounces

The quantity of coffee he uses per week in his office = 5 ounces.

Therefore for 4 weeks would be= ?

But, 1 week = 5 ounces

4 weeks = X

make X the subject of formula;

X = 5×4 = 20 ounces

The amount of ground coffee that will remain = 40-20 = 20 ounces.

Learn more about multiplication here:

brainly.com/question/28768606

#SPJ1

What degree measure is equivalent to 7x/11?
Enter your answer, rounded to the nearest hundredth of a degree, in the box.

Answers

The degree measure is which is equivalent to \(\frac{7 \pi}{11}\) is 114.54°.

What is meant by degree measure?

The size of an angle is measured in terms of a unit of measurement. 1 degree is equivalent in magnitude to 1/360 of a whole rotation.

A rotational angle is said to have a measure of one degree, denoted by the symbol 1°, if it is (1/360)th of a revolution from the initial side to the terminal side. Radian scale. A unit circle's unit arc's centrally subtended angle is said to have a measure of 1 radian.

The radius of an arc divided by its length is known as the radian measure (r). Radian measure is a pure number that doesn't require a unit symbol because it is the ratio of one length to another.

Convert radians to degrees, multiply by 180/π, since a full circle is 360° or 2π radians.

= \($ \frac{7 \pi}{11} \times \frac{180}{\pi}\)

= \($ \frac{7 }{11} \times 180\)

=\($ \frac{1260}{11}\)

= 114.54°

Therefore, the correct answer is 114.54°.

To learn more about degree measure refer to:

brainly.com/question/25770607

#SPJ1

Full question:

What degree measure is equivalent to 7x/11?Enter your answer, rounded to the nearest hundredth of a degree,

Dima asked her seventh-period class how many times they attended a summer camp since first grade. She put her data in the table and used the shaded rows to find three sample means. Summer Camp Attendance 3 1 0 4 1 4 2 3 0 5 0 1 1 2 0 4 1 4 4 2 3 2 0 1 4 What is the range of the values for the sample means? 1 1. 2 1. 8 2.

Answers

The range is (0-5) and the mean is 2.1.

Mean

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Given

Summer Camp Attendance 3, 1 ,0 ,4 ,1 ,4, 2, 3, 0, 5, 0, 1, 1, 2 , 0, 4, 1, 4, 4, 2, 3, 2, 0, 1, 4.

To find

The range of the values for the sample means.

How to find the range of the values for the sample means?

Range = Minimum to Maximum

Range = [0 and 5]

Mean is given by

\(\rm Mean = \dfrac{sum\ of\ the\ observation}{number\ of\ the\ observation}\)

Then the mean will be

\(\rm Mean = \dfrac{ 3+1+4+1+4+2+3+5+1+1+2+4+1+4+4+2+3+1+4 }{25}\\\\Mean = \dfrac{52}{25}\\\\Mean = 2.08 \approx 2.1\)

Thus the range is (0-5) and the mean is 2.1.

More about the mean link is given below.

https://brainly.com/question/12322912

Answer:

Step-by-step explanation:

2 on edge

At a bowling​ alley, 46 people are waiting to bowl. Each bowling lane can hold 8 people. How many lanes will be completely​ filled? How many people will be left to go on the last​ lane?

Answers

Answer:

5 lanes will be completely full and 6 people will be left on the last lane

Step-by-step explanation:

I need help plsss help

I need help plsss help

Answers

Answer: Circle = 5    Triangle = 2     Square = 6

Step-by-step explanation:  5 + 2 = 7          2 + 6 = 8              6+2 =8, 8 + 5 =13

Help meeeeeeeeeeeeeeeeeeeeeee

Help meeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

\(39.8 + ( - 49.5)\)

Step-by-step explanation:

\(39.8 + ( - 49.5) \\ 39.8 - 49.5\)

I hope I helped you^_^

Answer:- => 39.8 + (−49.5)

= (+) (-) = (-)

=> 39.8 − 49.5

Option C

Solution for 1/3p+8=11

Answers

Answer:

p = 9

Step-by-step explanation:

The answer is p=9. I think

suppose you are given a triangle with hypotenuse of length 5.5 and legs of length x−1 and x 1.

Answers

The length of legs of right triangle is 4.758 and 2.758.

Right triangle with legs of length x - 1 and x + 1, and a hypotenuse of length 5.5, we can use the Pythagorean theorem to solve for the value of x.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

So, in this case, we have:

(x - 1)² + (x + 1)² = 5.5²

Expanding the equation:

(x² - 2x + 1) + (x² + 2x + 1) = 30.25

Combining like terms:

2x² + 2 = 30.25

Subtracting 2 from both sides:

2x² = 28.25

Dividing both sides by 2:

x² = 14.125

Taking the square root of both sides:

x ≈ ±3.758

Since the lengths of the triangle's legs cannot be negative, we discard the negative value:

x ≈ 3.758

Therefore, the approximate value of x is 3.758.

The length of legs is 4.758 and 2.758.

To know more about right triangle  click here :

https://brainly.com/question/27850856

#SPJ4

1. let x and y be integers. we will assume that it is not true that x or y is even and will show that 3xy + 4 is odd.

Answers

Therefore, we have shown that \(3xy + 4 \)is odd when x and y are both odd integers.

To show that 3xy + 4 is odd, we will consider the fact that x and y are both odd integers since they are not even.

Let x = 2a + 1 and y = 2b + 1, where a and b are integers.

Now, we can substitute these expressions into the given equation:

\(3xy + 4 = 3(2a + 1)(2b + 1) + 4 \)

= \( 3(4ab + 2a + 2b + 1) + 4 \)

= \( 12ab + 6a + 6b + 3 + 4 \)

=  \(2(6ab + 3a + 3b) + 7 \)

The term (6ab + 3a + 3b) is an integer, let's call it c. Thus, our equation becomes:

2c + 7

Since 2c is even, and 7 is odd, the sum (2c + 7) is odd.

for such more questions on integers

https://brainly.com/question/929808

#SPJ11

44 friends evenly divided up an

n-slice pizza. One of the friends, Harris, ate
1
11 fewer slices than he received.
how many slices did he eat

Answers

The expression for the number of slices Harris ate is \((n/44) - 11.\)

What is the expression for slices eaten?

Let s be the number of slices each friend received.

Then the total number of slices on the pizza is n and we have: 44s = n because pizza was evenly divided among the 44 friends). Harris ate 11 fewer slices than he received, so he ate s - 11 slices.

The no of slices he  received is s and we have:

s = (s - 11) + Harris's slices eaten

Substituting 44s = n, we will solve for s:

44s = n

s = n/44

So, the expression for the number of slices Harris ate is \((n/44) - 11.\)

Read more about expression

brainly.com/question/1859113

#SPJ1

If+you+invest+$100+at+an+interest+rate+of+15%,+how+much+will+you+have+at+the+end+of+eight+years?

Answers

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

Calculating simple interest

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

Learn more on interest here: https://brainly.com/question/2151013

#SPJ12

A ladder rests with one end on the ground and the other on a vertical wall 1.8m high. If a vertical support beam 0.6m long is placed under the ladder 3m away. From the wall, find the horizontal distance of the support beam from the bottom of the ladder.

Answers

Answer:

Let's denote the horizontal distance of the support beam from the bottom of the ladder as "x" meters.

According to the given information, the ladder is resting against a vertical wall that is 1.8m high, and the support beam is placed 0.6m away from the wall. The length of the support beam is 0.6m.

We can use similar triangles to solve for "x". The triangles formed by the ladder, the support beam, and the vertical wall are similar triangles.

The height of the vertical wall (1.8m) corresponds to the length of the ladder along the wall, and the horizontal distance from the wall to the support beam (0.6m) corresponds to "x" meters on the ladder.

Using the concept of similar triangles, we can set up the following proportion:

(Height of wall) / (Horizontal distance from wall to support beam) = (Length of ladder) / (Distance from bottom of ladder to support beam)

Plugging in the given values:

1.8 / 0.6 = (Length of ladder) / x

Simplifying the proportion:

3 = (Length of ladder) / x

To find the length of the ladder, we can use the Pythagorean theorem, which states that the square of the hypotenuse (ladder) is equal to the sum of the squares of the other two sides (height of wall and horizontal distance from wall to support beam).

Length of ladder = √(height of wall)^2 + (horizontal distance from wall to support beam)^2

Length of ladder = √(1.8)^2 + (0.6)^2

Length of ladder = √3.24 + 0.36

Length of ladder = √3.6

Length of ladder ≈ 1.897 m (rounded to three decimal places)

Plugging this value back into the proportion:

3 = 1.897 / x

Solving for "x":

x = 1.897 / 3

x ≈ 0.632 m (rounded to three decimal places)

So, the horizontal distance of the support beam from the bottom of the ladder is approximately 0.632 meters.

A family on a trip budgets $1,338 for meals and gasoline. If the price of a meal for the family is $90 and if gasoline costs $2.80 per gallon, then how many gallons of gasoline can the family buy if they buy 13 meals

Answers

’creating a system linear equation, the number of possible gallons of gasoline that can be purchased is 60 gallons

Given the Parameters :

Total budget = 1338Meal cost = $90Gasoline cost = $2.80 per gallon Number of meals = 13 Number of gallons of gasoline = g

Hence, we have :

90(13) + 2.80g = 1338

1170 + 2.80g = 1338

2.80g = 1338 - 1170

2.80g = 168

g = 168/2.80

g = 60

Therefore, only 60 gallons of gasoline can be purchased.

Learn more : https://brainly.com/question/18796573

Seaquoia River Cruises offers a 7-day travel package. The prices vary based on the room class booked, as indicated in the following spreadsheet:

Seaquoia River Cruises offers a 7-day travel package. The prices vary based on the room class booked,

Answers

The spreadsheet formulas for the indicated cells are:

C9 =sum(C2:C8)D3 =C3/100D7 = C7/100E4 = sum(C2:C4)F5 =sum(D2:D5)

What are the spreadsheet formulas?

The value in C9 can be found by the formula =sum(C:C8) because the values from C2 to C8 were added up.

The formula in D3 converts the value in C3 to percentages. D7 does that for C7.

E4 takes the sum of the number of rooms from C2 to C4 while F5 takes the sum of D2 to D5.

Find out more on spreadsheet formulas at https://brainly.com/question/20354576.

#SPJ1

prove the average degree in a tree is always less than 2. more specifically express this average as a function of the number of vertices in tree.

Answers

we have proven that the average degree in a tree is always less than 2.

To prove that the average degree in a tree is always less than 2, we need to first understand what a tree is. A tree is an undirected graph that is connected and acyclic, meaning it does not contain any cycles. Each node in a tree has exactly one parent, except for the root node, which has no parent. The degree of a node in a tree is the number of edges that are connected to it. For the root node, its degree is equal to the number of edges that are connected to its children.

Now, let's consider a tree with n vertices. The total number of edges in a tree is always n-1, since each node except the root node has exactly one incoming edge, and the root node has no incoming edges. Therefore, the sum of the degrees of all the nodes in a tree with n vertices is equal to 2(n-1), since each edge is counted twice, once for each of the nodes it connects.

If we let d_i denote the degree of the i-th node in the tree, then the average degree of the tree can be expressed as:

(1/n) * sum(d_i) = (1/n) * 2(n-1)

Simplifying the right-hand side, we get:

(1/n) * 2(n-1) = 2 - (2/n)

As n approaches infinity, the average degree approaches 2, but for any finite value of n, the average degree is always less than 2. Therefore, we have proven that the average degree in a tree is always less than 2.

To know more about average degree refer here:

https://brainly.com/question/31080273

#SPJ11

Bablu has three sticks of lengths 3, 4 and 5 cm. Ramesh has three sticks of lengths 3, 5 and 9 cm. How many triangles can Bablu and Ramesh make with their sticks?

Answers

Answer: They can make 4 diferent triangles if they share their sticks, one triangle as a time. If they don't share, Babu can make only one triangle. Ramesh can not make any.

Step-by-step explanation:

Combinations that work:

3,4,5

3,3,4

3,3,5

5,5,9

The lengths of two shorter sides added together have to be greater than the longest side.

How do you find the sum of the infinite geometric series given 16+12+9+...?

Answers

The sum of the infinite geometric series 16 + 12 + 9 + ... is 64.

To find the sum of an infinite geometric series, you can use the formula:

sum =\(\frac a{(1 - r)}\)

where "a" is the first term in the series and "r" is the common ratio between terms.

In this case, the first term is 16 and the common ratio is 3/4, so the sum is:

sum \(= \frac{16}{(1 - \frac{3}4)} =\frac{16}{(\frac{1}4)} = 64\)

Therefore, the sum of the infinite geometric series 16 + 12 + 9 + ... is 64.

Note that this formula is only valid if the absolute value of the common ratio is less than 1. If the absolute value of the common ratio is 1 or greater, the series will either converge to a finite value or diverge to infinity, and the sum cannot be calculated using this formula.

To learn more about geometric series, visit:

brainly.com/question/4617980

#SPJ4

Ms. Rekha spends 165.31 , inclusive of a sales tax of 15 percent ,on oranges . Calculate the original price of oranges

Answers

The original value of the oranges is 143.75.

What is Percentage?

A percentage is a number or a ratio that is expressed as a fraction of 100 i.e. out of 100.

In formula, x% of amount y = y*(x/100)

Given :

Tax paid by Rekha : 15%

Final Price paid by Rekha : 165.31

Let the original price of the oranges = x

The additional tax amount on oranges

           = 15% of original price of x

           = 15 * x / 100

           = 0.15 x

Total price paid by Rekha = Original price of orange + Tax amount

165.31 = x + 0.15x

165.31 = (1 + 0.15)x

165.31 = 1.15x

x = 165.31/1.15

x = 143.75

Thus, the original value of the oranges is 143.75.

To learn more about percentages, visit

https://brainly.com/question/29306119

#SPJ1

in the past, the number of customers using a drive-through window at aardvark bank has averaged 20 per hour, with a standard deviation of 3 per hour. this year, another bank opened up nearby. aardvark's manager believes this will result in a decrease in the number of customers. he recorded the number of customers who arrived during 36 randomly selected hours and found that the average number of customers per hour in the sample was 19.39. what is the p-value associated with this result?

Answers

The p-value corresponding to this outcome is 0.1112.

Given data;

Aardvark Bank's drive-through window has historically seen an average of 20 customers every hour, with a standard deviation of 3 per hour. Another bank in the area opened this year. The manager of Aardvark predicts a drop in clientele as a result of this. He counted the consumers who came in throughout the 36 randomly chosen hours and discovered that the sample's mean client count per hour was 19.39.

What is the p-value corresponding to this outcome?

H₀ : μ = 20

H₁ : μ < 20

Here,

n = 36, X = 19.39, σ = 3

The test statistic Z;

Z = ( X - μ ) / (σ/√n)

Z = ( 19.39 - 20 ) / ( 3/√36 )

Z = -1.22

P - value = P(Z < -1.22)

P - value = 0.1112

Therefore, this result's related p-value is 0.1112.

To learn more about p-value click here:

brainly.com/question/14790912

#SPJ4

An administrator of a TANF program is concerned about the length of time hard-to-place clients were able to gain employment. He wants to contrast the average length of time at a job for his clients with the national average. What statistic should he use

Answers

The administrator should use the mean duration of employment for his clients to compare it with the national average. This will help determine if his hard-to-place clients have shorter or longer job durations than the average.

What statistic should be used to compare the job duration of TANF program clients with the national average?

To contrast the average length of time at a job for his clients with the national average, the administrator of the TANF program should use the mean duration of employment for his clients and compare it to the national average.

This would provide a measure of the central tendency of employment durations for his clients and allow him to compare this measure to the corresponding national statistic.

However, it is important to note that this measure alone may not provide a complete picture of employment outcomes for hard-to-place clients in the TANF program.

The administrator may also want to consider other statistical measures such as the median duration of employment or the standard deviation to get a better understanding of the distribution of employment durations among his clients.

The median duration of employment would provide a measure of the middle value of employment durations, which may be a more representative statistic if there are outliers or extreme values in the data.

The standard deviation would provide a measure of the variability in employment durations among his clients, which would be useful in determining whether there is a wide range of outcomes or if most clients have similar employment durations.

In addition to statistical measures, the administrator may also want to consider qualitative factors such as the types of jobs his clients are able to secure and whether they are able to advance in their careers over time.

This would provide a more nuanced understanding of employment outcomes and allow for a more comprehensive evaluation of the effectiveness of the TANF program in supporting hard-to-place clients in gaining and maintaining employment.

Learn more about administrator statistic

brainly.com/question/28218199

#SPJ11

PLEASE HELP THIS IS DUE IN THIRTY MINUTES
I FINNA GIVE YOU 30 POINTS, THAS A SCORE
You have $4800 to spend on fencing to enclose a rectangular area. You also want to make TWO pens as shown below. The cost of the vertical sides is $2.00 per foot and the horizontal sides cost $5.00 per foot. You desire to enclose the largest possible area you can.
a) Given x is the dimension of one side of the rectangle, enter an expression for the other dimension of the rectangle. Your answer should have an "x" in it. Also select appropriate units.

b) Find an expression for the area of the rectangle only in terms of x. Check the appropriate units.

c) What are the dimensions of the rectangle with the largest enclosed area? Enter your dimensions as a list of numbers separated by a comma. Start with the value of side labeled x FIRST.

d) What is the largest area you can enclose in a rectangle using feet of fencing?

PLEASE HELP THIS IS DUE IN THIRTY MINUTESI FINNA GIVE YOU 30 POINTS, THAS A SCOREYou have $4800 to spend

Answers

Answer:

D

Step-by-step explanation:

If a bag contains 18 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-lo-whole ratio of white balloons to
all balloons?
A)
1:5
B)
1:6
C)
1:7
D)
1:8

Answers

Answer:

1:6

Step-by-step explanation:

1:6

I hope this answer is correct

1:6 hope this helps:)

Drag the costs to the table to classify them as direct operational costs or costs

covered by business insurance.

Costs Covered by

Business Insurance

Direct Operational Costs

Answers

Rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.

What are operating expenses?

A continuing cost for maintaining a system, a business, or a product is known as an operating expense, operating expenditure, operational expenditure, operational expenditure, or OPEX.

The expense of creating or providing non-consumable pieces for the system or product is known as capital expenditure (capex).

For instance, the annual costs of paper, toner, power, and maintenance for a photocopier are opex, while the cost of the photocopier itself is capex.

Additional running costs for a service-based business could include rent, insurance, commissions, and other costs.

The majority of these costs are routine daily spending.

Costs that weren't directement necessary for those activities are referred to be non-operating expenses.

Therefore, rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.

Know more about operating expenses here:

https://brainly.com/question/14697297

#SPJ1

Correct question:

A service business may have some additional operating expenses like rent, insurance, commissions, and so on. Most of these expenses are incurred on a ___ basis.

Other Questions
Kay and jenny's, a restaurant, implements a new system that identifies and gathers information about its regular customers. It rewards these customers by giving them gift coupons and cash prizes. This is most likely an example of _____. A total quality management b customer relationship management c organizational optimization d profit maximization Read each of these scenarios describing the evolution of decreased body hair in humans. scenario x: as hominins migrated to more open environments and became mid-day hunters/scavengers, they were exposed to higher levels of heat. in order to effectively cool the body, hominins needed to have less hair, so a mutation for decreased body hair occurred. eventually, evolution favored those with less body hair such that all hominins had less body hair. scenario y: as hominins migrated to more open environments and became mid-day hunters/scavengers, they were exposed to higher levels of heat. hominins with less dense hair, a trait that had heritable variation within the population, maintained a cooler body temperature and were more successful in obtaining food. over time, hominin populations evolved to have less body hair. scenario ____ describes evolution by natural selection. i know this because_______. group of answer choices x; mutation occurs that increases survival of the species x; it describes evolution of individuals who became adapted to the environment. y; it involves heritable variation and fitness y; hominins acquired a needed characteristic so that they were more successful hunters Which of the following did Jason risk in his quest for The Golden Fleece? Choose all that apply.-the lives of others - his life - his wealth - his reputation which of the following describes the sequence of a successful communication process? symbols are put into codes, then transmitted as a message from the sender to the receiver. codes are put into a message, then transmitted through a filter from the sender to the receiver. symbols transmit information from the sender to the receiver via a filter. filters are replaced with symbols, then transmitted as a message between the sender and receiver. The kinds of music that participants purchased varied, which likely reflects individual differences in our expectations of music. Our beliefs about music are thought to develop from our prior musical experiences, with sounds and sound patterns that we learn being stuffed away in our auditory cortex. Those experiences frequently are linked to emotions, too. So, when music we hear jibes with what we know or expect or draws on preexisting emotional associations, we might be inclined to like it and buy it. That, hopefully, comes as good news for those who devote their careers to satisfying our impossibly complex musical tastes.How does the author present the points in this paragraph? (3 points) a-The author compares and contrasts three types of music. b-The author details the cause and effect between emotion and musical taste. c-The author defines musical taste for all general audiences. d-The author describes the sensations in the brain as we hear the same music. can u guys give me some answer The following questions from the video on STARBUCKS should beanswered for your BLOG POST1. In your opinion do you think Starbucks North America grew toofast into Australia?2.Should they have done Flying with the wind, Haribon, a Philippineeagle, managed a speed of 90 kph. But flyingagainst the wind, it only made 40 kph.a. Find the rate of the wind.b. Find Haribon's rate of flying when there isno wind.HELLLLPPP I NEED THE ANSWER RNNN ??!?!?!?!?!!?!?!?!!?!!!?!!!!? 1. In the first paragraph ("1 am very... to be here."), Kennedy refers to the manner in which he'd been invited to make an address primarily toA.explain a little-known incident in presidential history B.entertain those in the audience who happen to know the story of an invitation sent decades agoC.inform the audience about little-known presidential protocol D. reinforce the idea that someone in his position is privy to information that others are not E.make the audience feel that he is taking them into his confidence Mr. smith thinks his new smoothie recipe is the best ever. He believes it gives people more energy and also helps them lose weight. In order to prove this, he sets up an experiment. He randomly assigns 1/3 of his subjects to drink 1 smoothie per day for 10 weeks. The next 1/3 are andomly assigned to drink one smoothie per week for 10 weeks. The rest are assigned to 1 large cup of water per day for 10 weeks.What is the control group?a) 1 smoothie per dayb) 1 smoothie per weekc) 1 large cup of water per dayd) no control group 1. should the housekeeping program be discontinued? your answer should be fully explained with computations to support your answer. 2. recast the above data in a format that would be more useful to management in assessing the long-run financial viability of the various services. What are four jobs of the skeletal system? Help asap.1. Why is the scrotum external on most male mammals?A. serves as a climate-control mechanism of heating for the production of healthy spermB. allows air to circulate around this organ to help oxygenate the developing spermC. serves as a climate-control mechanism of cooling for the production of healthy spermD. allows for the cooler temperatures needed for the production of the hormones in a male mammal Compute the work required to stretch a spring from 6to 13 cm past equilibrium, assuming that the spring constant is =180 kg/s2. While software engineering is often mixed with programming, software engineering really starts before any development. True False QUESTION 2 We usually expand the use cases by talking about other type client was admitted to a critical care unit with esophageal varices and a precarious physical condition. What predisposes the client to have bleeding varices In the 5-way DuPont deconstruction, which of the following would lead to an INCREASE in Return on Equity (ROE), all else kept equal The use of ph is important for (multiple answer, 2 answers) the determination of the molar mass of a drug whether a drug can be extracted using a basic solution whether a drug can be extracted using an acidic solution the dissolution of a solid confirmation of a drug In a production line of a pharmaceutical company, 10g pills are made, one ofplant managers (head 1) state that the mean weight of the pills is 10g with a deviationof 0.3g. On a visit to the plant, one of the company's managers selects 1 pill at random.and weighs it, giving as a measurement 9.25g, the manager informs of this novelty since he believes that there isa serious problem with the weight of the pills because valuesbelow 9.25g and aboveof 10.75g are very rare.a) With this information, what is the probability that the plant manager's statement (head 1)be rejected when this is true?b) Another of the plant managers (head 2) assures that due to adjustments in the production line theaverage pill weight has decreased. The following hypothesis test is performed:0: = . 1: < 10And the following set is defined as its critical region: = {(1 2n) n|(1+2++n) / < }Agreement has been reached that the test has a significance level of 0.05 and that the Powerof the Test is 95% when the true mean is 9.75g. Find the valuesof and thatsatisfy these conditions.