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4 years ago

9

PLEASE HELP AND BE RIGHT

1 answer:

klio [65]4 years ago

5 0

2 sqrt(3) -2sqrt(3)

this is rational because it is zero

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The volume of the rectangular prism is 18 cubic feet more than the volume of the right triangular prism. Find the volume of each

zvonat [6]

Volume of rectangular prism = length * width * height

Volume of triangular prism =( length * height * base )/2

Given,

Volume of rectangular prism = 18 + volume of triangular prism

$6*x*3 = 18 + \frac{7*x*4}{2}$

18x = 18+14x

4x=18

x= 4.5 ft

So volume of rectangular prism = 6* 4.5* 3 = 81 ft³

Volume of triangular prism = (7* 4.5 * 4) / 2 = 63 ft³

5 0

3 years ago

Find the balance in the account. $2,500 principal earning 4%, compounded quarterly, after 4 years

Helen [10]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2500\left(1+\frac{0.04}{4}\right)^{4\cdot 4}\implies A=2500(1.01)^{16}\implies A\approx 2931.4466123$

3 0

4 years ago

10 + (5 exponet 2 + 4 exponet 2)

Aleksandr [31]

Answer:

51

Step-by-step explanation:

10 + (25 + 16)

10 + 41

=51

5 0

3 years ago

Read 2 more answers

The table below represents a linear function f(x) and the equation represents a function g(x):

Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

$\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}$

$g(x) = 3x - 2$

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

$m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

This gives:

$m = \frac{f(0) - f(1)}{0 - 1}$

$m = \frac{f(0) - f(1)}{- 1}$

Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

So:

$g(x) = 3x -2$

$m = 3$

$m_{f(x)} > m_{g(x)}$

Solving (b): Compare the y intercept

y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

$g(x) = 3x -2$

$g(0) = 3*0-2$

$g(0) =-2$

<em></em> $f(0) > g(0)$ <em></em>

6 0

3 years ago

Q # 14 please . .Write the slope-intercept of the equation for the line

Valentin [98]

You can see that this line passe through the points (-4,-2) and (4,3).

The slope of the line passing through the points $(x_1,y_1)$ and $(x_2,y_2)$ is

$\dfrac{y_2-y_1}{x_2-x_1}.$

Thus, the slope is

$\dfrac{3-(-2)}{4-(-4)}=\dfrac{5}{8}.$

Then the equation of the line is

$y-3=\dfrac{5}{8}(x-4),\\\\y=\dfrac{5}{8}x+\dfrac{1}{2}.$

Answer: correct choice is C.

7 0

4 years ago