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2 years ago

What is the volume of 10 2 in 5.5in

Mathematics

1 answer:

svetlana [45]2 years ago

5 0

Answer:

110 in³

Step-by-step explanation:

The volume of a rectangular prism is the product of its dimensions:

V = LWH

V = (10 in)(2 in)(5.5 in) = 110 in³

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NEGATIVE EXPONENTS - All of the following expressions are equal except _____.

worty [1.4K]

The last one x^4.

A: If you bring 2^-5 to the numerator which is what the - expects you to do, then you get x^5 which is 32

B: No problem here. 32 = 32

C: 2^1 * 2^4 = 2^(1 + 4) = 2^5.

C: 2^5 is 32

D: 2^4 = 16.

Answer: D does not agree with the others.

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3 years ago

Aubrey invested $61,000 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawa

Hitman42 [59]

Answer: 9.9 years.

Step-by-step explanation:

If interest is compounded continuously, then formula to compute final amount A = $Pe^{rt}$ , where P =initial amount, r= rate of interest , t=time.

Given: P= $61,000, r= 1.9% =0.019 , A = $ 73600

Substitute all values in formula

$73600=61000e^{0.019t}\\\\\Rightarrow\ \dfrac{73600}{61000}=e^{0.019t}\\\\\Rightarrow\ 1.20655738=e^{0.019t}$

Taking natural log on both sides

$\ln (1.20655738)=0.019t\\\\\\ 0.18777116=0.019t\\\\\\ t=\dfrac{0.18777116}{0.019}\\\\\\ t=9.88269263\approx9.9\ \text{years}$

Hence, the required time = 9.9 years.

4 0

3 years ago

The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of th

insens350 [35]

Answer: a = 8; b = 15; c = 17

Step-by-step explanation:

c = b + 2 and c = 2a + 1

b = c − 2 and a = $\frac{c-1}{2}$

c² = b² + a²

$c^{2} = (c-2)^{2} + \frac{c-1}{2}\\$

$c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2} }{4}$

$4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c$

$4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c$

$c^{2}-18c+17=0$

$c(c -17)-1(c-17)=0$

$(c -1)(c-17)=0$

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = $\frac{17-1}{2} = 8$

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

$a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\$

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

3 0

2 years ago

Complete the table below to find solutions to the linear equation 4x + y = -40.

Pepsi [2]

Answer:

(1,-44), (2,-48),(3,-52).......

Step-by-step explanation:

4(1)+y=-40

4+y=-40

y=-40-4

y=-44

(1,-44)

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2 years ago

Regina spent $45.50 over 6 1/2 months on music downloads. If she spent the same amount of money each month, how much money did R

Marina CMI [18]

Answer:

$7.00

Step-by-step explanation:

divide 45.50 by 6 1/2

7 0

2 years ago

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