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3 years ago

Theres 2 here, pleaseeee help

Mathematics

1 answer:

True [87]3 years ago

4 0

With the first one, you just plug the numbers inside the parentheses into f(x). Therefore:
f(-2)=40
f(-1)=18
f(0)=8
f(1)=10
f(2)=24

For the second one, you look at the table and find where x=1. The number there is 24, so therefore, f(1)=24

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A number increased by 7

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Answer:

x+7

Step-by-step explanation:

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3 years ago

Estimate the area of Alberta in square miles. Show your reasoning

ella [17]

Answer: About $278,250\ mi^2$

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid can be calcualted with the formula:

$A_t=\frac{h}{2}(B+b)$

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

$A_r=lw$

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

$A=\frac{h}{2}(B+b)+lw$

Substituting vallues, you get:

$A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2$

Therefore, the area of of Alberta is about $278,250\ mi^2$ .

5 0

3 years ago

Which of the following best describes the slope of the line below?

atroni [7]

Answer:

Zero

Step-by-step explanation:

Since the line is a horizontal line, the slope does not change. The slope is zero.

8 0

2 years ago

Read 2 more answers

Find the value of an investment of $20,000 for 12 years at an annual interest rate of 3.85%

MatroZZZ [7]

Answer:

Step-by-step explanation:

Compound continuously:

FVn = PV x e^rn

where

PV = $20,000

r = 3.85%

n = 12 years

plugin values into the formula:

FV₁₂ = $20,000 x e ⁰°⁰³⁸⁵ ⁽¹²⁾

FV₁₂ = $31,745

3 0

3 years ago

Purchasing A regional survey found that 70% of all families who indicated an intention to buy a new car bought a new car within

zheka24 [161]

Answer:

If a family chosen at random bought a car, we need to find the probability that the family had not previously indicated an intention to buy a car = P(I'|B) = 0.3362

Step-by-step explanation:

Let the event that a family that intends to buy a car be I

Let the event that a family does not intend to buy a car be I'

Let the event that a family buys a car in those 3 months be B

Let the event that a family does not buy a car in those 3 months be B'

Given,

P(B|I) = 0.70

P(B|I') = 0.10

P(I) = 0.22

P(I') = 1 - P(I) = 1 - 0.22 = 0.78

If a family chosen at random bought a car, we need to find the probability that the family had not previously indicated an intention to buy a car = P(I'|B)

The conditional probability P(A|B), is given as

P(A|B) = P(A n B) ÷ P(B)

So,

P(B|I) = P(B n I) ÷ P(I)

P(B n I) = P(B|I) × P(I) = 0.70 × 0.22 = 0.154

P(B|I') = P(B n I') ÷ P(I')

P(B n I') = P(B|I') × P(I') = 0.10 × 0.78 = 0.078

P(B) = P(B n I) + P(B n I') = 0.154 + 0.078 = 0.232

P(B') = 1 - 0.232 = 0.768

P(I'|B) = P(B n I') ÷ P(B)

= 0.078 ÷ 0.232 = 0.3362

Hope this Helps!!!

8 0

3 years ago