One week, Makayla earned $142.20 at her job when she worked for 6 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $829.50?

Answer:

D, R: {11, -4, -29}

Step-by-step explanation:

According to the given set of domains, the corresponding range is found by substituting the x values into the equation and solving for y.

i.e {-2} -> 5x + y = 1, -10 + y = 1, y = 11

{1} -> 5x + y = 1, 5 + y = 1, y = -4

{6} -> 5x + y = 1, 30 + y = 1, y = -29

Answer:

The short answer is D

Answer:

2.5%

Step-by-step explanation:

1230-1200 = 30

30÷1200 = 0.025

0.025 x 100 = 2.5

Answer:

if you were to get a answer you would have to put it in ur own words because some teachers come on here

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Remember that the area of a rectangle is given by the formula [tex]A=lw[/tex].

We know that the length is [tex](x+5)[/tex] and the width is [tex](x-2)[/tex]. Therefore, the area will be:

[tex]A=(x+5)(x-2)[/tex]

Expand. Use the Distribute Property. This yields:

[tex]A=(x+5)(x)+(x+5)(-2)[/tex]

Multiply:

[tex]A=(x^2+5x)+(-2x-10)[/tex]

Combine Like Terms:

[tex]A=x^2+(5x-2x)-10\\A=x^2+3x-10[/tex]

Therefore, our answer is B.

Answer: the area of the resulting surface is π/16 [ 4√(17)  + In( 4 + √( 17)) ]

Step-by-step explanation:

Given that;

y = e^(-4x),  x ≥ 0

then, dy/dx = -4e^(-4x)

now, √( 1 + (dy/dx)² ) = √( 1 + ( -4e^(-4x))²) = √( 1 + 16e^(-8x)

so the surface area of the surface obtaining by rotating the curve y = e^(-4x) on ( 0, ∞ ) about x-axis is,

S = ₀∫^∞ 2πy √( 1 + (dy/dx)² )  dx

S = ₀∫^∞ 2πe^(-4x) . √( 1 + 16e^(-8x) dx

S = 2π. ₀∫^∞ e^(-4x) . √( 1 + 16e^(-8x) dx

so LET 4e^-4x = u ⇒  -16e^(-4x) dx = du

⇒e^-4x dx = du/ -16

so whenx = 0, then u =4 and when x → ∞ then e^(-4x) → 0 so u →0

therefore

S = 2π ₄∫⁰ √(1 + u²) . du/-16

= π/8 ₀∫⁴ √(1 + u²) . du

= π/8 [ u/2√(1 + u²)  + 1/2 In ( u + √( 1 + u²) ]₀⁴

WE MAKE USE OF

∫√( a² + u²) du = u/2√(a² + u²) + a²/2 In ( u + √( a² + u²)) + C

so

= π/8 [ 4/2√(1 + 16)  + 1/2 In ( 4 + √( 1 + u16 ]

= π/8 [ 2√(17)  + 1/2 In ( 4 + √( 17)) ]

= π/16 [ 4√(17)  + In( 4 + √( 17)) ]

therefore the area of the resulting surface is π/16 [ 4√(17)  + In( 4 + √( 17)) ]

Answer:

c.)2 g/ml

Step-by-step explanation:

Given:

Mass of block = 12 g

Volume of block = 6 ml

Required:

Density of the block

SOLUTION:

Density is given as the mass of the block per unit volume.

Thus, density = mass/volume

Density of block = [tex] \frac{12 g}{6 ml} [/tex]

= 2 g/ml.

The answer is c. 2 g/ml.

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The square root of 10 lies between 3 and 4.

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

In order to find the square root of 10 lies between which two numbers the approximate value of the root is needed to be calculated.

√10 = 3.162.......

Now, if we plot √10 on the number line its value will lie between 3 and 4.

Hence, The square root of 10 lies between 3 and 4.

Learn more about the Number line:

https://brainly.com/question/557284

#SPJ2

Answer:

(4, 2) the formula for 270 rotation counterclockwise is (y,-x)

Step-by-step explanation:

Answer:

6,270

Step-by-step explanation:

hope this helps

Answer:

317 x 18 = 5706

Answer:

(x-3)(x-7)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

4(3x+5) = 12x+20

Answer:

c

Step-by-step explanation:

Answer:

14.62 I believe

Step-by-step explanation:

Perimeter is the lengths of the edges added up. And if the shape is a rectangle, there are 4 edges so we divide by 4. 44/4=11. each of the four sides are 11 feet long.

width=11

length=11

area=width*length=121

Answer:

4

Step-by-step explanation:

Answer:

1,0

Step-by-step explanation:

No need to expand look at the roots of the brackets.

(x-1)=0

x=1

x^2 and -9x have roots 0

Think of it as whatever sets the expression to 0.

Answer:

5 (x+2) +2x is equal to 7x + 10

Step-by-step explanation:

To find the value of this equation you would have to apply the distributive property by changing 5 (x+2) to 5x +10. (When applying the distributive property you will always multiply the numbers in the parentheses by the number on the left of it). Then you would combine like terms by adding 2x and 5x together. You will then have 7x + 10.

Step-by-step explanation:

1.) Distribute = 5x+10

2.) Collect Like-Terms = 5x & +2x

3.) Add 5x and +2x , which = 7x

Now you have your answer, which is: 7x + 10.

I hope this helped.

Answer:

it should be 45,870

Step-by-step explanation:

Answer:

Let AB is the height of the cliff = H and p is the posit ion of the boat.Angle of depression= angle of elevation= 15 degrees therefore angle APB= 15 degrees tan 15=AB=h/1,000 h=(1,000)*tan 15=(1,000)(0.26794919243112)=268.94919243112 meters or

Simply: 268meters..........Ans

Answer:

y=[tex]\frac{2}{7}[/tex]x

Step-by-step explanation:

First: find slope of line by using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] with the two points (0,0) and (7,2)

slope(m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{2-0}{7-0}[/tex] = [tex]\frac{2}{7}[/tex]

Second: plug your data into the point slope formula [tex]y-y_1=m(x-x_1)[/tex]

y-0=[tex]\frac{2}{7}[/tex](x-0)

y-0=[tex]\frac{2}{7}[/tex]x

y=[tex]\frac{2}{7}[/tex]x

Answer:

y=2/7x

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

$12 = 2hours

Find how much Clare was paid for one hour

Total money earned ÷ number of hours = wage per hour

12 ÷ 2 = $6 per hour

set up equation

6x = 18

This equation says 6 dollars an hour × number of hours = $18

To solve for this equation, divide both sides by 6 (this isolates the variable)

6x ÷ 6 = 18 ÷ 6

1x = 3

x = 3