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3 years ago

11

The equation y = 8.1x models the relationship between the number of hours Alexander works, x, and the dollar amount he earns, y.

Which is the graph of the equation y = 8.1x?
A. Image for option 1

B. Image for option 2

C. Image for option 3

2 answers:

babunello [35]3 years ago

8 0

Where is the graph below

SVETLANKA909090 [29]3 years ago

7 0

Answer: B

Step-by-step explanation:

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The measure of central angle ABC is radians.

mezya [45]

Answer:

$9\pi\ units^{2}$

Step-by-step explanation:

we know that

The measure of central angle ABC is $\frac{\pi}{2}$ radians

so

$\frac{\pi}{2}=90\°$

$360\°$ subtends the complete circle

The area of the shaded sector is the area of a quarter circle

so

The area of a quarter circle is equal to

$A=\frac{1}{4}\pi r^{2}$

we have

$r=6\ units$

substitute

$A=\frac{1}{4}\pi (6)^{2}=9\pi\ units^{2}$

5 0

4 years ago

50 Points please help!!

dmitriy555 [2]

Answer:

16.32 N11.38°E km/h

Step-by-step explanation:

16.0∠0° +3.22∠90° ⇒ (x, y) = (3.22, 16.0) ⇒ (r, θ) =

(3.22, 16.0) ⇒ (r, θ) = (√(3.22² +16²), arctan(3.22/16)*) = (16.32, 11.38°)

The woman's velocity is 16.32 km/h in a direction that is 11.38° east of north.

_____

This is her velocity in any stationary frame of reference.

____

* We have used North as the reference for the angle, measured CW.

3 0

3 years ago

A machine covers 5/8 square foot in 1/4 hour

VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = $frac{5}{8}\ ft^2$

Time taken to cover the given area = $\frac{1}{4}\ h$

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

$Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h$

Thus, the unit rate is 2.5 square feet per hour.

5 0

3 years ago

The mean annual incomes of certified welders are normally distributed with the mean of $50,000 and a population standard deviati

garik1379 [7]

Answer:

Their welders earn $50,000 annually.

Step-by-step explanation:

Given : $\mu = 50,000$

$\sigma = 2000$

n = 100

$\bar{x}=50350$

To Find : The ship building association wishes to find out whether their welders earn more or less than $50,000 annually.

Solution :

$H_0:\mu = 50000\\H_a: \mu \neq 50000$

n = 100

Since n > 30

So we will use z test

$z= \frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

Substitute the values

$z= \frac{50350-50000}{\frac{2000}{\sqrt{100}}}$

$z=1.75$

Refer the z table for p value

p value = 0.9599

α= 0.05

Since p value > α

So we accept the null hypothesis .

Hence their welders earn $50,000 annually.

4 0

3 years ago

simplify the expression below. Express the simplified expression in standard form (12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)

joja [24]

<h3>Answer: 14s^4 - 7s^2 + 15</h3>

====================================================

Work Shown:

(12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)

12s^4-6s^2+4s+6s^4-4s+27-4s^4-s^2-12

(12s^4+6s^4-4s^4)+(-6s^2-s^2)+(4s-4s)+(27-12)

14s^4-7s^2+0s+15

14s^4-7s^2+15

Note: don't forget to distribute the negative to every term in the last parenthesis

3 0

3 years ago