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IgorLugansk [536]

3 years ago

5

A school has two wings each of which is a rectangle or prism the school district is planning to instill air conditioning in the

school in the signal is volume what is the volume of the school solve solve this problem anyway you choose

1 answer:

stealth61 [152]3 years ago

4 0

You cannot find the volume of the school when you don't have the dimensions,so the answer is impossible.

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Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

frutty [35]

Answer:

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

$g(x) =e^{x^3}$

we know that $\frac{d}{dx}(e^{f(x)})=e^{f(x)}f'(x)$

$g'(x) =e^{x^{3}}(3 x^{2})$

$g'(x) =3 x^{2} e^{x^{3}}$

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

$m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}$

using the equation of line:

$(y-y_1)=m(x-x_1)$

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

$(y-\dfrac{1}{e})=\dfrac{3}{e}(x+1)\\y=\dfrac{3x}{e}+\dfrac{3}{e}+\dfrac{1}{e}\\$

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

3 0

3 years ago

HELP URGENT STEP FUNCTIONS!!!!!!! Used books cost $2.25 each. Which expression represents the total number of books that can be

irinina [24]

Answer:

A. $\left \lfloor \frac{10}{2.25} \right \rfloor$

Step-by-step explanation:

We are given,

The cost of one book = $2.25

Since, it takes $2.25 to buy 1 book.

The, for $10, we can get $\frac{1}{2.25}\times 10$ i.e. $\frac{10}{2.25}$ = 4.44

Since, number of books cannot be in decimals.

So, the closest integer to 4.44 is 4.

Hence, we can buy 4 books from $10.

Now, according to the options:

A. $\left \lfloor \frac{10}{2.25} \right \rfloor = \left \lfloor 4.44\right \rfloor = 4$

B. $\left \lceil \frac{10}{2.25} \right \rceil = \left \lceil 4.44 \right \rceil=5$

C. $\frac{10}{\left \lceil 2.25\right \rceil} =\frac{10}{3} =0.33$

D. $\frac{10}{\left \lfloor 2.25\right \rfloor} = \frac{10}{2} = 5$

Hence, we see that from the options, A is correct.

3 0

3 years ago

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Choose the correct simplification of the expression (3x)^4.

Y_Kistochka [10]

The exponent 4 needs to be applied to both 3 and x, so we would have:
3 * 3 * 3 * 3 * x^4.
9 * 9 * x^4.
81x^4

6 0

3 years ago

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riadik2000 [5.3K]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Let's solve ~

$\qquad \sf \dashrightarrow \: \dfrac{2x - 1}{5} = \dfrac{x - 2}{2}$

$\qquad \sf \dashrightarrow \: 2(2x - 1) = 5(x - 2)$

$\qquad \sf \dashrightarrow \: 4x - 2 = 5x - 10$

$\qquad \sf \dashrightarrow \: 5x - 4x = -2 + 10$

$\qquad \sf \dashrightarrow \: x = 8$

Value of x is 8

8 0

2 years ago

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The ratio of male to female spectators at ice hockey games is 4:5. At the Steelers' last match,4500 men watched the match. What

kramer

There were 10,125 people in attendance of the game<span />

6 0

3 years ago

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