8 ft<br> Find the area of the figure.<br> The area is<br> square feet.

Based on the above table, which occupation listed here is expected to have the smallest total number of jobs in 2016

qaws [65]

Answer: Makeup artists

<u>Step-by-step explanation:</u>

The third column shows the number of employees in 2016. The lowest value in that column is 3, which is the row titled "Makeup artists, theatrical and performance".

5 0

3 years ago

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PLEASE HELP ME ASAP!!!! My entire grade depends on these questions and I need to show the work that go me there

Marizza181 [45]

Answer:

Answers are in bold

Step-by-step explanation:

<u></u>

Use the Zero Product Property to find the x-intercepts:

0=-(x+4)(x-1)

0=(x+4)(x-1)

0=(x+4)

-4=x

x=-4

0=(x-1)

1=x

x=1

So the x-intercepts are x=-4 and x=1 which is also (-4,0) and (1,0)

For the y-intercepts, plug in x=0:

f(x)=-(0+4)(0-1)

f(x)=(-4)(-1)

f(x)=4

So the y-intercept is y=4 which is also (0,4)

In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k

For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:

f(x)=-(x+4)(x-1)

f(x)=-(x^2+3x-4)

f(x)=-x^2-3x+4

So now we know a=-1 and b=-3, therefore we can plug them in:

x=-b/2a

x=-(-3)/2(-1)

x=3/-2

x=-3/2

x=-1.5

So the equation of the axis of symmetry is x=-1.5

We'll use the equation x=-b/2a to get the x-coordinate for the vertex (which we already know is x=-1.5), then plug in that value of x in the original equation to get the y-coordinate for the vertex:

f(x)=-(-1.5+4)(-1.5+1)

f(x)=-(2.5)(-0.5)

f(x)=-(-1.25)

f(x)=1.25 <-- y-coordinate

So the coordinates of the vertex are (-1.5,1.25)

See the image below

I'll let someone else do the last 4 questions as I am unable to answer them.

<u></u>

8 0

3 years ago

Help with number eleven

nalin [4]

$\dfrac{2}{3}j-\dfrac{2}{9}=\\
\dfrac{2}{3}j-\dfrac{2}{3}\cdot\dfrac{1}{3}=\\
\dfrac{2}{3}\left(j-\dfrac{1}{3}\right)
$

3 0

3 years ago

For a recent job, a plumber earned $28/hr, and the plumber’s apprentice earned $15/hr. The plumber worked 3 hours more than the

Oxana [17]

Answer: (with explanation) (ANSWER AT THE BOTTOM)

et P = number of hours that the plumber worked.

let H = number of hours that the helper worked.

since the plumber worked 3 more hours than the helper, the equation for hours worked is

P = H + 3

-----

since the plumber earned 28 dollars per hour and the helper earned 15 dollars per hour, the equation for amount of money each made is the number of hours each worked times the dollars per hour each earned.

this equation is

(28*P) + (15*H) = 213 dollars

-----

both get the same answer.

-----

substitute for P in the money equation since P is the same as H + 3.

equation becomes

(28*(H+3)) + (15*H) = 213

solve for H.

28*H + 28*3 + 15*H = 213

43*H + 84 = 213

43*H = 129

H = 3

-----

if H = 3, then P = 6 because P = H + 3.

-----

6*28 + 3*15 = 213 so your answer is

<h2>Plumber works 6 hours</h2><h2>Helper works 3 hours.</h2>

now to find the amount each earn by themselves, we just have to multiply by 6 or 3 by their hourly earning.

let's do the Plumber first

28x6=168

now the helper

15x3=45

---------

now to check if that was the right answer, let's add them up...

168+45=213

so, our answer is right.

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<h2>The plumber worked for 6 hours and earned $168 and the helper worked for 3 hours and earned $45 dollars. In total, they earned $213.</h2>

3 0

2 years ago

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What is the surface area of the cylinder with height 8 in and radius 5 in? Round your answer to the nearest thousandth

alexgriva [62]

Answer:

Step-by-step explanation:

Surface Area :

2πr (r + h)
2 x 22/7 x 5 (5 + 8)
10 x 22/7 x 13
130 x 22/7
2860/7
<u>408.571 in²</u>

5 0

2 years ago

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8 ft Find the area of the figure. The area is square feet.