Got a hard one guys 8 x 8 - 7 + 43. btw wanna be fwens

A man selling computer parts realizes that when he sells 16 computer parts, his earning is $1700. When he sells 56 computer part

natta225 [31]

We need to find the unit rate. To do so, divide the amount of money he makes by the number of parts sold. 1,700 / 16 = 106.25. So, if the man sells one computer part, he gets $106.25. To find the price of 30 parts, multiply 106.25 by 30. 106.25 * 30 = $3,187.50

The man will make $3,187.50 if he sells 30 parts.

4 0

3 years ago

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Evaluate the integral by making an appropriate change of variables.

VARVARA [1.3K]

By inspecting the integrand, the "obvious" choice for substitution would be

u = y + x

v = y - x

Solving for x and y, we would have

x = (u - v)/2

y = (u + v)/2

in which case the Jacobian and its determinant are

$J=\begin{bmatrix}x_u&x_v\\y_u&y_v\end{bmatrix}=\dfrac12\begin{bmatrix}1&-1\\1&1\end{bmatrix}\implies|\det J|=\left|\dfrac12\right|=\dfrac12$

The trapezoid R has two of its edges on the lines x + y = 8 and x + y = 9, so right away, we have 8 ≤ u ≤ 9.

Then for v, we observe that when x = 0 (the lowest edge of R), v = y ; similarly, when y = 0 (the leftmost edge of R), v = -x. So

-x ≤ v ≤ y

-(u - v)/2 ≤ v ≤ (u + v)/2

-u + v ≤ 2v ≤ u + v

-u ≤ v ≤ u

So, the integral becomes

$\displaystyle\iint_R5\cos\left(7\frac{y-x}{y+x}\right)\,\mathrm dA=\int_8^9\int_{-u}^u\frac52\cos\left(\frac{7v}u\right)\,\mathrm dv\,\mathrm du$

$=\displaystyle\frac52\int_8^9\frac u7(\sin7-\sin(-7))\,\mathrm du$

$=\displaystyle\frac57\sin7\int_8^9u\,\mathrm du$

$=\displaystyle\frac5{14}\sin7(9^2-8^2)=\boxed{\frac{85}{14}\sin7}$

4 0

3 years ago

Quiero saber como se resuelve este problema ? 6+2-a3

Andreyy89

Answer: 8-a^3
You just simply the expression.

6 0

3 years ago

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If a rectangular prism has a length, width, and height of 3/8 centimeter, 5/8 centimeter, and 7/8 centimeter, respectively , the

sveticcg [70]

Answer:

<h3>The volume of the prism is cubic $\frac{105}{512}$ centimeters.</h3><h3>Step-by-step explanation:</h3><h3>Given that a rectangular prism has the following dimensions:</h3><h3> $length, l=\frac{3}{8}cm \\\\width, w=\frac{5}{8}cm \\\\height, h=\frac{7}{8}$ </h3><h3>We know that a rectangular prism of length 'l', width 'w' and height 'h' is given by</h3><h3> $V=w*h *l.$ </h3><h3>Therefore, the volume of the given prism will be</h3><h3> $V\\\\=w*h*l\\\\=\frac{3}{8}*\frac{5}{8}*\frac{7}{8} \\\\=\frac{105}{512}cm^{3}.$ </h3><h3>Thus, the volume of the prism is $\frac{105}{512}$ cubic centimetres.</h3>

8 0

3 years ago

The radius of a sphere is 6 units.

Yanka [14]

Answer:

The answer is Three-Fourthst(12)2

7 0

3 years ago

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