3 years ago

What is the volume of the shoebox with the dimensions shown in the figure?

Mathematics

1 answer:

saw5 [17]3 years ago

8 0

4 in 5 in 12 in is a denominator is a thing of tostadas

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Simplify 5(4x³y²)³/(4x⁵y³)⁴

Maksim231197 [3]

Answer:

5

4x^11*y^6

In words:

5 over 4x to the 11th power times y to the 6 power.

Step-by-step explanation:

simplify from original to this:

5x^9*y^6

4x^20*y^12

5y^6

4x^11*y^12

5

4x^11*y^6

8 0

2 years ago

Which of the following is the solution to the differential equation dP/dt+P=10 with the initial condition P(0)=4

Ber [7]

Answer:

Option C. $P=10-6e^{-t}$

Explanation:

1. Separate variables:

$\dfrac{dP}{dt}+P=10\\ \\ \\ \\\dfrac{dP}{dt}=-P+10\\ \\ \\ \dfrac{dP}{-P+10}=dt$

2. Find the indefinite integrals

$-\ln{(10-P)}=t+C$

3. Solve for P

$10-P=e^{-t+C}\\ \\ 10-P=Ke^{-t}\\ \\ P=10-Ke^{-t}$

4. Use the initial condition, P(0) = 4, to find K:

4 = 10 - K(e⁰)

4 = 10 - K

K = 10 - 4

K = 6

5. Substitute K = 6 into the integrated equation:

$P=10-6e^{-t}$

That is the option C.

4 0

3 years ago

Which problem is the same as 4 + 5

natita [175]

Answer:

6+3

Step-by-step explanation:

5 0

3 years ago

Which function has a constant additive rate of change of -1/4?

VladimirAG [237]

Answer:

The first graph (in other words A)

Step-by-step explanation:

bc it is going down 1/4 at a constant rate!!!

Hope This Helps!!!

7 0

3 years ago

Peter decided to buy a new car. He made a $2,160 down payment and then took a 48-month loan. The total amount for the car, plus

Sedbober [7]

16,560÷48=345
....................

8 0

3 years ago