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Rama09 [41]
3 years ago
5

Factor the expression. 3x2 + 14x-5

Mathematics
1 answer:
Irina18 [472]3 years ago
8 0

Answer:

(3x-1)(x+5)

Step-by-step explanation:

Find two numbers that when they multiply, you get the third term,

which is -5 in this problem. And when they add up, you get the second term,

which is 14 in this problem.

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the surface area of a sphere is 1,017.36 square inches.what is the volume of the sphere? use 3.14 for pi
emmasim [6.3K]

Answer:

<em>Area = 254.34 inches ³</em>

Step-by-step explanation:

The formula to find the surface area of a sphere is:

SA = 4\pi r^{2}

To find the volume of the sphere, we first need to figure out the radius (r) of the sphere. We can accomplish this by reversing the formula that was used to find the surface area. (1017.36 in^{2})

SA = 4\pi r^{2}

1017.36 = 4\pi r^{2}

Divide both sides by pi (3.14).

1017.36 = 4\pi r^{2}

324 = 4 r^{2}

Divide both sides by 4.

324 = 4 r^{2}

81 = r^{2}\\

Find the square root of both sides.

81 = r^{2}\\

\sqrt{81} = r

<em>radius = 9</em>

<em />

Insert the value of the radius into the formula for finding the volume of a sphere. (A=\pi r^{2})

(A=\pi r^{2})

A=\pi (9)^{2}

A=\pi (81)

A = 254.34

<em>Area = 254.34 inches ³</em>

<em />

~Hope this helps!~

4 0
3 years ago
A lawyer drives from her​ home, located 2 miles east and 3 miles north of the town​ courthouse, to her​ office, located 5 miles
LekaFEV [45]
Let <span>the town​ courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
</span>
Use the distance formula d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} to get the <span>distance between lawyer's home and office:
</span><span>
</span><span /> d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}=\sqrt{(-2-5)^2+(3-(-21))^2}=
=\sqrt{7^2+24^2}  =  \sqrt{49+576} =  \sqrt{625} =25.
Answer: 25 miles.

7 0
3 years ago
You just graduated college (age 23) and now have your dream job of a computer animator. Your gross salary is 43,000 a year. Answ
Kipish [7]

Answer:

$93.72

Step-by-step explanation:

To be able to find how much is deducted from our paycheck monthly, we have to compute for the total amount left to pay for the health insurance.

Insurance = $4500

Company % = 75% or 0.75

Total amount left = $4500- $4500x0.75

Total amount left = $1125

Now that we know the total amount left, we simply divide the total by 12 to find the monthly payments.

Monthly Payment = $1125/12

Monthly Payment = $93.72

So a total of $93.72 will be deducted from our monthly paycheck for the health insurance.

5 0
3 years ago
Read 2 more answers
Mr.johnson can travel for 6 hours while taking 3 breaks of 12 minutes each Once,he had to travel for 36 hours. How many minutes
dlinn [17]
He took 4 minutes in breaks
3 0
3 years ago
The function f(x) is show on the graph. What is f(0)?
dexar [7]

Answer:

x = 0

Step-by-step explanation:

the origin

6 0
3 years ago
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