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3 years ago

Which of the following is a true statement about functions?

Mathematics

1 answer:

raketka [301]3 years ago

3 0

Answer:

B. if F is a fuction then F(2+h)=f(2)+f(h)

Step-by-step explanation:

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Find the area of the figure. Use 3.14 as π.

Karolina [17]

Answer: D. 94.25 in²

Step-by-step explanation:

To find the total area, we will break the shape up into two different parts.

[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.

Area of a circle:

A = πr²

Use 3.14 for pi:

A = (3.14)r²

Find the radius:

d / 2 = r, 10 / 2 = 5 in

Subsittue:

A = (3.14)(5)²

A = 78.5 in²

Divide by 2 since it is only half:

78.5 in² / 2 = 39.25 in²

[] The triangle is 55 in².

Area of a triangle:

A = b*h/2

A = 11 * 10 / 2

A = 110 / 2

A = 55 in²

[] Total area. We will add the two parts together.

55 in² + 39.25 in² = 94.25 in²

7 0

2 years ago

Read 2 more answers

Which of the following parabolas opens upward and appears narrower than y = −3x^2 + 2x − 1? A. y = 4x^2 − 2x − 1 B. y = −4x^2 +

Kamila [148]

Narrowing it down it's either a or c because the other 2 choices open downward (negative a).
Graphing the 2 parabolas choice c is narrower.
c

7 0

3 years ago

Consuelo's living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 it

uranmaximum [27]

<h2>Therefore the length of the living room = 24 ft</h2>

Step-by-step explanation:

Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is $\frac {5}{8}$ its length

Let ,the length of the living room is = x ft

Then width = $\frac {5}{8}x$ ft

Therefore the area of the living room = $x \times \frac {5}{8}x ft^2$

According to problem,

$x\times \frac {5}{8}x = 360$

⇔ $\frac{5}{8}x^2=360$

⇔ $x^2 = \frac{360\times 8}{5}$

⇔ $x^2 = 576$

⇔ $x=\sqrt{576}$

⇔ $x = 24$

Therefore the length of the living room = 24 ft

8 0

3 years ago

Read 2 more answers

WILL MARK BRAINLIEST!!

Rudik [331]

Answer:

C = (A*P - 8.4Y -330T + 200I) / 100

Step-by-step explanation:

P = (8.4Y + 330T + 100C -200I ) / A

now we have to calculate completed passes C for given P, Y, T, I, A

A*P = 8.4Y + 330T -200I +100C

100C = A*P - 8.4Y - 330T + 200I

C = (A*P - 8.4Y -330T + 200I) / 100

I just solved the equation for C

5 0

3 years ago

A population is known to be normally distributed with a standard deviation of 2.8. (a) Compute the 95% confidence interval on th

Ugo [173]

Answer:

Step-by-step explanation:

Mean = sum of terms/number of terms

The mean of the given sample is

(8 + 9 + 10 + 13 + 14 + 16 + 17 + 20 + 21)/9 = 14.2

For a confidence level of 95%, the corresponding z value is 1.96.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

Where

n represents the number of samples

It becomes

14.2 ± 1.96 × 2.8/√9

= 14.2 ± 1.96 × 0.933

= 14.2 ± 1.83

The lower end of the confidence interval is 12.37

The upper end of the confidence interval is 16.03

For a confidence level of 99%, the corresponding z value is 2.58

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

Where

n represents the number of samples

It becomes

14.2 ± 2.58 × 2.8/√9

= 14.2 ± 2.58 × 0.933

= 14.2 ± 2.4

The lower end of the confidence interval is 11.8

The upper end of the confidence interval is 16.6

3 0

3 years ago