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3 years ago

Define volume capacity

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

4 0

Answer:

Volume. Capacity. Volume is the total amount of space that is covered by an object. Capacity is the ability of an object to contain a substance that is either solid, liquid, or gas. It refers to the actual amount of something that covers a definite space.

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What is the sum of the measures of the interior angles of this polygon?

daser333 [38]

The sum of the interior angles of any triangle is 180 degrees.

7 0

3 years ago

Read 2 more answers

If a borrower's monthly interest payment on an interest-only loan at an annual interest rate of 7.3% is $877, how much was the l

nordsb [41]

Answer:

C. $144,200

Step-by-step explanation:

We have been given that a borrower's monthly interest payment on an interest-only loan at an annual interest rate of 7.3% is $877.

To find the loan amount, we will use simple interest formula.

$I=Prt$ , where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

One month will be equal to 1/12 year.

$7.3\%=\frac{7.3}{100}=0.073$

Upon substituting our given values in simple interest formula, we will get:

$877=P*0.073*\frac{1}{12}$

$877*12=P*0.073*\frac{1}{12}*12$

$10524=P*0.073$

$P*0.073=10524$

$\frac{P*0.073}{0.073}=\frac{10524}{0.073}$

$P=144164.3835616438356$

Upon rounding to nearest hundred, we will get:

$P\approx 144,200$

Therefore, the loan amount was $144,200 and option C is the correct choice.

5 0

3 years ago

A polynomial expression is shown below.

tester [92]

The polynomial is (mx^3+3)(2x²+5x+2)-(8x^5 +20x^4)
if it is reduced to 8x^3+6x²+15x+6, so we can find the value of m

(mx^3+3)(2x²+5x+2)-(8x^5+20x^4) = 8x^3+6x²+15x+6
2mx^5+5mx^4+2mx^3+6x²+15x+6-8x^5-20x^4=8x^3+6x²+15x+6
2mx^5+5mx^4+2mx^3=8x^3+6x²+15x+6-6x²-15x-6+ 8x^5+20x^4
= 8x^5+20x^4+8x^3= 4(2x^5+5x^4+2x^3)
finally

m(2x^5+5x^4+2x^3)=4(2x^5+5x^4+2x^3), and after simplification

C: m=4

4. When the expression is factored x²-3x-18 completely,

one of its factor is x-6
x²-3x-18=0
D= 9-4(-18)= 81, sqrtD=9 x=3-9/2= -6/2= -3, and x=3+9 / 2= 6
so x²-3x-18= (x-6)(x+6)

3 0

3 years ago

What are the fourth, seventh, and tenth terms of the sequence A(n) = 7 + (n - 1)(-3)?

vivado [14]

Answer:

Step-by-step explanation:

fourth term

A(4)= 7 - ( 4-1)(-3)

=-2

seventh term

A(7)= 7 - (7-1)(-3)

=-11

tenth term

A(10) = 7 - (10-1)(-3)

= -20

5 0

3 years ago

(√x+1/√x)^2find dy/ dx and substitute 2 in dy/ dx

lions [1.4K]

Hello,
That's better.

I suppose $y=( \sqrt{x} + \dfrac{1}{ \sqrt{x} } )^2 \\

y'=2*( \sqrt{x} + \dfrac{1}{ \sqrt{x} } )*( \dfrac{1}{2 \sqrt{x} } - \dfrac{3}{2x \sqrt{x} } )$

If x=2 then
$y'=2*( \sqrt{2} + \dfrac{1}{ \sqrt{2} } )*( \dfrac{1}{2 \sqrt{2} } - \dfrac{3}{2*2* \sqrt{2} } )\\
=2* \dfrac{2+ \sqrt{2} }{ \sqrt{2} } * \dfrac{1}{4*\sqrt{2} } *(-1)\\
=- \dfrac{2+ \sqrt{2} }{4}$

3 0

3 years ago