The graph of F(x) shown below resembles the graph of G(x)=x^4, but it has been changed somewhat. Which of the following could be the equation of F(x)?
A. F(x)=4x^4-2
B. F(x)=-4x^4-2
C. F(x)=4x^4+2
D. F(x)=-4x^4+2

The sample size is 96.

The range of values that we observe in our sample and for which we anticipate finding the value that accurately reflects the population is referred to as a confidence interval.

The margin of error is a statistic that describes how much random sampling error there is in survey results.

The confidence interval is,

C = 95% = 0.95

The margin of error is,

E = 10

The population standard deviation is,

σ = 40

The formula for sample size is:

n = ( (  Z × σ ) / E )²

Area = ( 1 + c )/2 = ( 1 + 0.95)/2 = 1.95 / 2 = 0.975

From the z table, the p-value is 1.96.

sample size n = ( ( 1.96 × 50 ) / 10 )²

n = ( 98 / 10 )²

n = ( 9.8 )²

n = 96.04

n ≈ 96

Therefore, the required sample size is 96.

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The option that is the better deal between both deals for apples, is 8 apples for $9.25.

The better deal on the apples would be the deal that gives the lower amount per apple. This means that the deal that leads to each individual apple having a lower price is the deal that should be considered best.

To find the price of an apple, you would need to divide the price of the deal given, by the number of apples in the deal.

The first deal would therefore have a per apple price of :

= Price of deal / Number of apples

= 6. 25 / 5 apples

= $ 1. 25 per apple

The second deal would be :

= Price of deal / Number of apples

= 9. 25 / 8 apples

= $ 1. 16 per apple

The better deal is therefore 8 apples for $9.25.

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Answer:

122

Step-by-step explanation:

The first thing to notice is that <EBC and <ABE form a straight line. This means they are a linear pair, also known as complementary. So, when they are added together they will equal 180 degrees. Therefore, to solve, set up and solve the algebraic equation, 180=58+x. When 58 is subtracted from both sides, you are left with x=122.

\((7d+6)-(-3d-5) \\ \\ =7d+6+3d+5 \\ \\ =\boxed{10d+11}\)

Answer: $88.90

Step-by-step explanation:

$39.95 x 2 + 0.06 x 150

Answer:

Yes it is dibisible by 6.

Step-by-step explanation:

Because it is divisible by 2 and 3 and it is the divisibility of 6.

The amount of calories provided from fat and carbohydrates is 1210 calories.

The number of calories left over is 290 calories.

These calories come from proteins.

The amount of protein in this meal is not specified, so we cannot calculate it.

The amount of calories provided from fat and carbohydrates: Fat provides 9 calories per gram, so 90g of fat would provide 9 x 90 = 810 calories. Carbohydrates provide 4 calories per gram, so 100g of carbs would provide 4 x 100 = 400 calories. So, the total amount of calories provided from fat and carbohydrates is 810 + 400 = 1210 calories.

The number of calories left over: 1500 calories - 1210 calories = 290 calories. These calories come from proteins.

The amount of protein in this meal: The amount of protein in this meal is not specified, so we cannot calculate it.

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Answer:

No question is asked, but Company P is less expensive than company M.

Step-by-step explanation:

See attached image.

Answer:

I believe the answer is the 3rd choice witch would be c

What we have here in the picture is a graph of a segment. The goal is to find the segment's length, which we can do by using the distance formula:\(d^2=\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2\).

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Note that the distance between two points is equal to the length of the line segment that joins them.

So now we already have answers for two of the boxes.

The difference in the x-coordinates gives us the horizontal distance between the two points, while the difference in the y-coordinates gives us the vertical distance between the points.

So, the other two boxes should contain:

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Answer:

a=q+f

Step-by-step explanation:

1. a-f=q

2. you need to do the opposite of -f which is +f to cancel it out

after that you need to do the +f to the q

Hope this helps

Using the literal equation a-f = q, the solution for a = p + q

A literal equation are  type of equations which have two or more unknown variables . A literal equation can be solved by adding or subtracting or multiplying or divide by same numbers to the both sides of the equation in order to solve the expression for the required variable.

For example if an given equation is x+ y =2 and we want to solve it for y

Then we will try to keep y on one side and take remaining terms to other side.⇒ y = x-2  is solution for y.

Given equation :

a- f = q

To solve for a, add f to both sides

⇒ a- f +  f = q+ f

⇒ a = q + f

Solution for a is q +f.

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Answer:

The number of chirps per minute is 72

Step-by-step explanation:

Here, using the formula given, we want to find the number N representing the number of chirps per minute.

To get this, we shall simply substitute the value of 58 for T in the equation;

Thus;

58 = 50 + (N-40)/4

58 -50 = (N-40)/4

8 = (N-40)/4

4 * 8 = N -40

32 = N -40

N = 40 + 32

N = 72

Answer:

117649

Step-by-step explanation:

hope this helps :)

Answer:

117649

Step-by-step explanation:

Answer:

A) 266.39

Step-by-step explanation:

Answer:

a) 266.39 unit^2.

Step-by-step explanation:

Area of the base = 8^2 = 64 .

There are 4 triangular sides.

To find the area of 1 side we need to know the slant height s of the triangle, This can be found using the Pythagoras Theorem

s^2 = 4^2 + 12^2 = 160

s = √160

So the area of 1 side = 1/2 * base * s

= 1/2 * 8 * √160

and

area of 4 sides

=  4 * 1/2 * 8 * √160

= 202.386

So the Surface area of the pyramid

= 64 + 202.386

= 266.386

Answer:

x= 20 and y= 12

Step-by-step explanation:

nickel is 5 cents and quarter is 25 cents,

let x be number of nickels and y be number of cents

x+y = 32

5x + 25y = 400

you get x= 20 and y= 12

Answer:

see below

Step-by-step explanation:

sqrt(77)

8^2 = 64

9^2 = 81

It is closer to 9

We know it is between 8.5 and 9

8.8^2 = 77.44

This is a good approximation

Answer:

40 π ft or 125.6ft

Step-by-step explanation:

If the sprinkler can spray water 20 ft, that means the radius is 20 ft and to get the circumference we do 2 r π

or 2r*3.14

The answer is either 40 π ft

or 125.6ft

Answer:

Equivalent Fractions have the same value, even though they may look different.

Step-by-step explanation:

For example:

\( \frac{1}{2} = \frac{2}{4} = \frac{4}{8} \)

the fractions have different numerator and denominator but are equal to the same value.

Answer:

(13, 5 )

Step-by-step explanation:

The translation

(x, y ) → (x + 3, y - 4)

Means add 3 to the x- coordinate and subtract 4 from the y- coordinate, so

(10, 9 ) → (10 + 3, 9 - 4 ) → (13, 5 )

Answer:

10.20 is the greater one

Answer:

10.20

Step-by-step explanation:

Becuase that has .18 more than 10.02. Hope this helps

The Parent Function is f(x) = \(\sqrt{x}\)

What is parent function ?

A parent function represents the collection of some functions, i.e. family of functions. It is the simplest form of a family of functions.

A parent function always maintain the same highest degree and the same shape in graph with family of the parent function.

What is the required parent function ?

The required parent function is f(x) = \(\sqrt{x}\)   i.e. y = \(\sqrt{x}\)

What are the required transformations ?

To get the given equation f(x) = \(\sqrt{2x +6} + 2\)

We first multiply 2 with x, we get f(x) = \(\sqrt{2x}\)

Then we move this 6 units to the left, we get f(x) = \(\sqrt{2x+6}\)

Now, We have to go 2 units downwards, then f(x) =\(\sqrt{2x +6} + 2\)

Hence, The given equation.

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Answer:

24/t-10

Step-by-step explanation:

So its quotient so 24/t, and minus 10 becuase less than

It will take Vincent 24 number of days to build the cubby house by himself.

Let's assume that Vincent can build the cubby house alone in h days.

From the given information, we know that Nadia takes 12 days to build the cubby house, and when Nadia and Vincent work together, they can finish it in 8 days.

We can use the concept of "work done" to solve this problem. The amount of work done is inversely proportional to the number of days taken.

Nadia's work rate is 1/12 of the cubby house per day, while the combined work rate of Nadia and Vincent is 1/8 of the cubby house per day.

When Nadia and Vincent work together, their combined work rate is the sum of their individual work rates:

1/8 = 1/12 + 1/h

To solve for h, we can rearrange the equation:

1/h = 1/8 - 1/12

1/h = (3 - 2) / 24

1/h = 1/24

Taking the reciprocal of both sides, we find:

h = 24

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Answer:

135 meters

Step-by-step explanation:

h = 60t - 5t²

t is in seconds and it says to find out the height after 3 seconds

Sub the value '3' into 't'

h = 60(3) - 5(3)²

h = 180 - 5(9)

h = 180 - 45

h = 135 m

Answer:

irrational

Step-by-step explanation:

Answer:10

Step-by-step explanation:

If you have 5 dots + 5 more dots that’s 10 dots in all

The population of the town in 5 years will be approximately 28,982.

A data pattern known as exponential growth exhibits faster expansion over time. Compounding generates exponential profits in finance. Exponential growth is possible in savings accounts with a compounding interest rate. Compound returns in finance lead to exponential development. One of the most potent forces in finance is the power of compounding. With the help of this idea, investors may generate sizable sums with little start-up money. Compound interest savings accounts are typical instances of exponential development.

Given that, population of a town increases by 3% each year.

The population after 5 years is calculated by:

Population in 5 years = Initial population x (1 + rate) raised to time.

That is,

Population in 5 years = 25,000 x (1 + 0.03)⁵

Population in 5 years = 25,000 x 1.159274

Population in 5 years = 28,981.85

Hence, the population of the town in 5 years will be approximately 28,982.

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Answer:

Mr.Gravy =30

Mrs.Gravy =40

Step-by-step explanation:

The total number of coins Sean, Mike and Andy has altogether is 42 9/10 coins.

Sean = 12 1/2 coins

Mike= 15 1/5 coins

Andy = 15 1/5 coins

Total coins contributed= Sean + Mike + Andy

= 12 1/2 + 15 1/5 + 15 1/5

= 25/2 + 76/5 + 76/5

= (125+152+152) / 10

= 429/10

= 42 9/10 coins

Therefore, 42 9/10 coins were contributed altogether.

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