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3 years ago

A rectangle has a height of 4x ^ 3 width of x ^ 3 + 3x ^ 2 + 2x . Express the area of the entire rectangle .

Mathematics

1 answer:

astra-53 [7]3 years ago

6 0

Answer:

$4x^6+12x^5+8x^4$

Step-by-step explanation:

To find the area of a triangle, you need to multiply the width by the height. In this case:

$(4x^3)(x^3+3x^2+2x)=\\4x^6+12x^5+8x^4$

Hope this helps!

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A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is

Ainat [17]

Answer:

$15.2~mph$

Step-by-step explanation:

Let the time flown by the flying carpet be $t$ . Then, we have that $(2.4)/t=(1.4)/t+2*4$ .

We multiply both sides of the equation by $t$ to get $2.4=1.4+8t$ .

We subtract $1.4$ from both sides to get $1=8t$ .

We divide both sides of the equation by $t=1/8$ .

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is $(2.4)/(1/8)=19.2$ mph.

The speed against wind is $(1.4)/(1/8)=11.2$ mph.

The speed in still wind is $(19.2+11.2)/2=(30.4)/2=15.2$ .

Therefore, the answer is $\boxed{15.2~mph}$ and we're done!

4 0

3 years ago

Yasmin purchased 6 heads of cabbage that each weighed pounds. How much did the cabbage weigh all together?

MakcuM [25]

The weight of each cabbage is not given.
I'll assume that each cabbage weighs p pounds.

Now, we know that Yasmin bought 6 cabbage each weighing p pounds. To know the total weight, we will simply multiply the number of cabbages by the weight of each as follows:
Total weight = 6 * p = 6p pounds

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Un camio pot portar una carrega maxima de 5 t.En un afabrica ha caregat 6 contenidors de 3 q i 85kg cada un.Quants quilos mes hi

scoray [572]

Answer:

ripppppppppp

Step-by-step explanation:

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7 0

2 years ago

what is the solution to this system of equations (Use the elimination method by multiplying the first equation by 3.) 2x+y=20 6x

user100 [1]

Answer:

(7, 6)

Step-by-step explanation:

multiply first eq. by 3 to get 6x - 3y = 60

now do

6x + 3y = 60

- 6x - 5y = 12

--------------------

8y = 48

solve for y: y = 6

with this y value, plug it in to the first equation (easier to solve) and get 2x + 6 = 20

solve for x and get x = 7

so ans is (7, 6)

5 0

3 years ago

Is it A, B, or C? PLEASE HELP

Zanzabum

Step-by-step explanation:

y = kx, where k is the constant of proportionality. (1)

Therefore y = x and line B depicts that.

6 0

2 years ago

Read 2 more answers