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aivan3 [116]
3 years ago
12

You order plant seeds from a catalog. Each packet costs $.90 each. The shipping charge is 2.50. if you have $18.50 to spend, how

many seed packets can you order
Mathematics
1 answer:
Nataliya [291]3 years ago
4 0

Answer:

17

Step-by-step explanation:

18.50 - 2.50 = 16

16 divided by 0.90 = 17.7777777778

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9 i think

Step-by-step explanation:

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3 years ago
Evaluate the spherical coordinate integral
expeople1 [14]

Rewrite the equations of the given boundary lines:

<em>y</em> = -<em>x</em> + 1  ==>  <em>x</em> + <em>y</em> = 1

<em>y</em> = -<em>x</em> + 4  ==>  <em>x</em> + <em>y</em> = 4

<em>y</em> = 2<em>x</em> + 2  ==>  -2<em>x</em> + <em>y</em> = 2

<em>y</em> = 2<em>x</em> + 5  ==>  -2<em>x</em> + <em>y</em> = 5

This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3

Rewrite the integrand:

-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3

The integral is then

\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}

5 0
3 years ago
What is 3/4 as a percentage
luda_lava [24]

Answer:

75%

Step-by-step explanation:

A percent is a value out of 100.

Change the fraction \frac{3}{4} to an equivalent fraction with the denominator equal to 100.

\frac{3}{4} × \frac{25}{25} = \frac{75}{100}

This fraction represents a percent.

\frac{75}{100} = 75%

5 0
2 years ago
describe the transformations that produce the graph of g(x)=1/2(x-4)^3+5 from the graph of the parent function f(x)=x^3. Give th
SSSSS [86.1K]

We have been given a parent function f(x)=x^{3} and we need to transform this function into g(x)=\frac{1}{2}(x-4)^{3}+5.

We will be required to use three transformations to obtain the required function from f(x)=x^{3}.

First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to g(x)=(x-4)^{3}.

Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes g(x)=\frac{1}{2}(x-4)^{3}.

Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as g(x)=\frac{1}{2}(x-4)^{3}+5.

6 0
3 years ago
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