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4 years ago

15

Estimate the volume. A) 19 in3 B) 40 in3 C) 96 in3 D) 144 in3

1 answer:

AlexFokin [52]4 years ago

4 0

A quick dirty estimate? 4*3*12=144in^3

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The price of mailing a small package is 0.32 $ for the 1st ounce and $0.21 for each additional ounce. Sandra put $1.16 to mail h

ELEN [110]

So you would subtract 0.32 from 1.16 because it is the initial amount. Then divide what you get from that (0.84) by .21. You're gonna get .04- but that's not the answer because you have to add the initial ounce that is worth $0.32. So The answer is B

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3 years ago

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Hot dogs come in packages of 10. Rolls come in packages of 8. What is the least number of packages of each you have to buy to ha

Eddi Din [679]

Answer:

4 packages of hot dogs and 5 packages of rolls

Step-by-step explanation:

10 and 8 have the least common multiple of 40.

10*4=40

8*5=40

Therefore you would need to buy 4 packages of hot dogs and 5 packages of rolls.

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3 years ago

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Can someone help me ?????????

attashe74 [19]

Answer:

The answer to your question is A.

Step-by-step explanation:

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3 years ago

A particle moves on a straight line and has acceleration a(t)=24t+2. Its position at time t=0 is s(0)=3 and its velocity at time

user100 [1]

Answer:

It's position at time t = 5 is 593.

Step-by-step explanation:

The velocity v(t) is the integral of the acceleration a(t)

The position s(t) is the integral of the velocity v(t)

We have that:

The acceleration is:

$a(t) = 24t + 2$

Velocity:

$v(t) = \int {a(t)} \, dt = \int {24t + 2} \, dt = 12t^{2} + 2t + K$

K is the initial velocity, that is v(0). Since V(0) = 13, K = 13

Then

$v(t) = 12t^{2} + 2t + 13$

Position:

$s(t) = \int {s(t)} \, dt = \int {12t^{2} + 2t + 13} \, dt = 4t^{3} + t^{2} + 13t + K$

Since s(0) = 3

$s(t) = 4t^{3} + t^{2} + 13t + 3$

What is its position at time t=5?

This is s(5).

$s(t) = 4t^{3} + t^{2} + 13t + 3$

$s(5) = 4*5^{3} + 5^{2} + 13*5 + 3$

$s(5) = 593$

It's position at time t = 5 is 593.

3 0

3 years ago

A population, P(t) (in millions) in year t, increases exponentially. Suppose P(9)=16 and P(18)=24. a) Find a formula for the pop

jenyasd209 [6]

Answer: $\frac{32}{3}\left ( 1.0460\right )^t$

Step-by-step explanation:

Given

Population changes exponentially

$P\left ( t\right )=ab^t$

$P\left ( 9\right )=16$ ------1

$P\left ( 9\right )=16=ab^8$

$P\left ( 18\right =24=ab^{18}$ -----2

divide 1 & 2 we get

$\frac{24}{16}=\frac{b^{18}}{b^9}$

$\frac{3}{2}=b^9$

Substitute $b^9$ in 1 we get

$a=\frac{32}{3}$

Thus $P\left ( t\right )=\frac{32}{3}\left ( 1.0460\right )^t$

8 0

3 years ago

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