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2 years ago

Two lines, A and B, are represented by the equations given below.

Mathematics

1 answer:

Marina CMI [18]2 years ago

7 0

Answer:

JUST WANT POINTS

Step-by-step explanation:

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B. To make salad dressing for the fruit salad, Mrs. Santos uses 2/4 cup oil, 1 cup orange juice, and 3/4 cup honey. How many cup

Ket [755]

Answer:

$\sf 2 \frac14 \ cups$

Step-by-step explanation:

Add the amounts together:

$\sf \implies \dfrac24+1+\dfrac34$

Convert the whole number 1 into a fraction with denominator 4:

$\sf \implies \dfrac24+\dfrac44+\dfrac34$

As all the denominators are the same, we can simply add the numerators:

$\sf \implies \dfrac{2+4+3}4$

$\sf \implies \dfrac94$

Finally, convert the improper fraction into a mixed number:

$\sf \implies 2 \frac14 \ cups$

5 0

1 year ago

Read 2 more answers

Evaluate the spherical coordinate integral

expeople1 [14]

Rewrite the equations of the given boundary lines:

y = -x + 1 ==> x + y = 1

y = -x + 4 ==> x + y = 4

y = 2x + 2 ==> -2x + y = 2

y = 2x + 5 ==> -2x + y = 5

This tells us the parallelogram in the x-y plane corresponds to the rectangle in the u-v plane with 1 ≤ u ≤ 4 and 2 ≤ v ≤ 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

Which of the following uses the distributive property correctly?

Mila [183]

Answer: A

You’re basically adding m - 2 nine times
So it’s 9m - 18
Or 9m - 9(2)

6 0

2 years ago

Read 2 more answers

Change to standard form 3.42x10^-5

Cerrena [4.2K]

0.00000342 is the answer.

3 0

3 years ago

Please help, i'm horrible @ math :)

katovenus [111]

$\displaystyle\\
1 \frac{2}{5} +\Big(-5 \frac{1}{2} \Big) = ? \\ \\ 
1 \frac{2}{5} = \frac{1\times 5+2}{5}=\boxed{\frac{7}{5}} \\ \\ 
-5 \frac{1}{2} =-5 -\frac{1}{2} = \frac{-5\times2-1}{2} =\frac{-10-1}{2}=\frac{-11}{2}= \boxed{-\frac{11}{2} }\\ \\ \texttt{OR} \\ \\ 
-5 \frac{1}{2} = -\Big(5 \frac{1}{2} \Big)= -\Big( \frac{5\times2+1}{2} \Big)=-\Big( \frac{11}{2} \Big)= \boxed{-\frac{11}{2} }$

$\displaystyle\\
\Longrightarrow ~~1 \frac{2}{5} +\Big(-5 \frac{1}{2} \Big) =\frac{7}{5} -\frac{11}{2} = \frac{7\times 2}{5\times 2} -\frac{11\times 5}{2\times 5} = \\ \\ 
= \frac{14}{10} -\frac{55}{10} = \frac{14-55}{10} =\frac{-41}{10} = -\frac{41}{10}=-\frac{40+1}{10}=\boxed{\boxed{-4\frac{1}{10}}}$

7 0

2 years ago