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3 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics

1 answer:

devlian [24]3 years ago

8 0

The constant of the proportional relationship graphed in this problem is of 10.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the points on the graph are: (0,0), (2,20), (4,40), ..., hence the constant is:

k = 40/4 = 20/2 = 10.

More can be learned about proportional relationships at brainly.com/question/10424180

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The dealer's cost of a Sierra is 89% of a base price. Which is $43,890, and 10 points

NemiM [27]

It’s 450 i’m pretty sure

7 0

3 years ago

Mr. Flowers 23 1/4 of land. He is going to 1/3 the acreage. He will sell the rest as 1/2-acrea lots. How many lots will he have

loris [4]

Answer:

B. 31

Step-by-step explanation:

The acreage Mr. Flowers intends to sell is 2/3 of his total, so is ...

(2/3)(23 1/4) = (2/3)(93/4) = 31/2 . . . . acres

Divided by 1/2 (which is the size of a lot), we will get the number of lots this will make:

(31/2)/(1/2) = 31/1 = 31

Mr. Flowers will have 31 lots for sale.

8 0

3 years ago

The diagram was constructed with straightedge and compass tools. Point A is the center of one circle, and point C is the center

Murrr4er [49]

Answer:

CE = AD/2

Step-by-step explanation:

C is the center of small circle

Point E is on same circle, therefore CE = radius of small circle

AD passes through the center of small circle and both points are on same circle, therefore AD is diameter of small circle

Since diameter is double of radius:

AD = d, CE= r

d = 2r

AD = 2*CE or CE = AD/2

5 0

3 years ago

Problem Solving Find the exact solution of each equation for 0 < theta < 2 pi

horrorfan [7]

Answer:

C) $\theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}$

Step-by-step explanation:

$sin^2\theta=\frac{1}{2},\: 0\leq\theta\leq2\pi\\ \\\frac{1-cos(2\theta)}{2}=\frac{1}{2}\\ \\1-cos(2\theta)=1\\\\cos(2\theta)=0\\\\2\theta=\frac{\pi}{2}+\pi n\\ \\\theta=\frac{\pi}{4}+\frac{\pi}{2}n\\ \\ \theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}$

Recall the identity $sin^2\theta=\frac{1-cos(2\theta)}{2}$

5 0

2 years ago

Solution of this equation sqrt x+10-9=-7

myrzilka [38]

Original equation
√x+10-9 = -7

Isolate
√x+10 = 9-7

√x+10 = 2
 Raise both sides to the second power
 (√x+10)2 = (2)2

 After squaring
 x+10 = 4

x + 6 = 0

so the answer is x=-6

3 0

3 years ago

Read 2 more answers