A rectangular prism has a length of 11ft, a height of 4ft, and a width of 3ft. What is its volume, in cubic ft?

Yuri [45]

Answer:

$abc = - \frac{16}{3}$

Step-by-step explanation:

${x}^{ - 2} {y}^{3} \sqrt[3]{ 64{x}^{5} {y}^{3} } = a {x}^{b} {y}^{c} \\ \\ {x}^{ - 2} {y}^{3} \times 4 \times {x}^{ \frac{5}{3} } \times y= a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5}{3} - 2 } {y}^{3 + 1} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5 - 6}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{ - 1}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 4 \\ \\ b = - \frac{1}{3} \\ \\ c = 4 \\ \\ abc = 4 \times ( - \frac{1}{3} ) \times 4 \\ \\ = 16 \times ( - \frac{1}{3} ) \\ \\ abc = - \frac{16}{3}$

6 0

2 years ago

This is urgent I need help!

Nata [24]

Answer:

Step-by-step explanation:

1. Write an expression to show how to calculate the number of buses needed. Make sure to include parenthesis to show what should be done first since order of operations is important.

(9*25)+4+(2*4)=237 (total number of people going to the museum

Each bus,excluding the driver,holds 44 people

237/44 = 5.3863636363.......

2. How many buses will be needed?

6 buses are needed

3. Why must the answer to the problem be a whole number?

Buses cannot be divided in fractions It should be or 5 buse or 6

But 5 buses are not enough

4. Why shouldn't you round the answer the usual way?

Even when rounded it is still a decimal and buses need to be counted by whole number

5. Can your answer be classified as a rational number? Explain why or why not.

6 is a rational number (whole number)

5.38636363.......is rational ( repeating decimal

8 0

2 years ago

The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,

Stella [2.4K]

Answer:

$P_4 = 7604.08$

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

$P_1 = P_0 + 0.04P_0$

Where $P_0$ is the initial population and $P_n$ is the population in year n

In year 2

$P_2 = P_1 + 0.04P_1$

It can also be written as:

$P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)$

Taking out common factor $P_0$

$P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)$

Taking out common factor (1 + 0.04)

$P_2 = (1 + 0.04) (P_0 + 0.04P_0)$

Taking out again common factor $P_0$

$P_2 = (1 + 0.04) (1 + 0.04) P_0$

Simplifying

$P_2 = P_0 (1 + 0.04) ^ 2$

So

$P_n = P_0 (1 + 0.04) ^ n$

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

$P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08$

3 0

3 years ago

HHHHHHEEEEEELLLLLLPPPPPPP!!!!!!!

Klio2033 [76]

Check the picture below

if that red segment, GJ, is parallel to the AE base segment of the triangle, then, the segment GJ is the midsegment of the triangle, and by the side-splitter theorem, those two triangles are similar.

7 0

3 years ago

The value of a baseball player's rookie card began to increase once the player retired. When he retired in 1998 his card was wo

Sergio039 [100]

Y=2.05(X)+8.59
Yes because the value of y (value of card) changes as (x) amount of years pass by.
In 2009, the card is worth $31.14

6 0

2 years ago