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2 years ago

At the local bank 60% of the employees have 2 or more children. There

Mathematics

1 answer:

suter [353]2 years ago

7 0

2
x
=
596

x
=
596
2
=
298
So like 400

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What is the fifth term of the geometric sequence? 5, 15 , 45, ...

Virty [35]

The geometry sequence has the equation $a(n)=5(3^{n-1})$ .

The 5 represents the first number of the sequence and the 3 represents the common ratio.

a(5) = $5(3^{5-1})=5(3^{4})=5(81)=405$

answer: 405

6 0

3 years ago

HELP please! This is for a test.

Svetllana [295]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Mason walked 1/3 mile before lunch and 5/12 mile after lunch.how many miles did he walk in all?

aniked [119]

3/4 miles

work:
1/3 x 4 = 4/12
4/12 + 5/12 = 9/12(answer)

9/12 ÷ 3 = 3/4(simplified)

8 0

3 years ago

Sketch the region enclosed by y=3x and y=x^2 . Then find the area of the region.

kolezko [41]

Answer:

$A=4.5u^2$

Step-by-step explanation:

The integral of a function gives you the area under the curve, the subtraction of one of the areas from the other will give you the area in between.

The limits of integration are the points where the curves intersect each other(take the curves has a system of equation and solve for x and y):

$y=3x, y=x^2\\3x=x^2\\x^2-3x=0\\x(x-3)=0\\x_1=0\\x-3=0\\x_2=3$

$y_1=3x_1=3(0)=0\\y_2=3x_2=3(3)=9$

The integral will be the subtraction of the curve $y=3x$ and $y=x^2$ (In the graph you can see y=3x is the upper curve):

$\int\limits^3_0 {3x-x^2} \, dx =\left\frac{3x^2}{2}-\frac{x^3}{3}\right|^3_0=\frac{3(3)^2}{2}-\frac{(3)^3}{3}-\left(\frac{3(0)^2}{2}-\frac{(0)^3}{3}\right)\\\int\limits^3_0 {3x-x^2} \, dx =\frac{27}{2}-\frac{27}{3} =13.5-9=4.5u^2$

6 0

2 years ago

Find the surface area of a cylinder that has the following information:

BigorU [14]

Answer:

$A=1099.56cm^{2}$

Step-by-step explanation:

Formula to ind surface area of cylinder:

$A=2\pi \frac{d}{2} h+2\pi (\frac{d}{2} )^{2}$

$A=2\pi \frac{10}{2} (30)+2\pi (\frac{10}{2} )^{2}$

$A=1099.557443cm^{2}$

Therefore, area will be:

$A=1099.56cm^{2}$

<em>hope this helps :)</em>

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7 0

2 years ago