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Marizza181 [45]
1 year ago
15

Price ($)87654321Price of CupsFind the unit rate ofthe price per cup.$[?]$54 cups 1 cup=Give your answer asa decimal.

Mathematics
1 answer:
Yanka [14]1 year ago
8 0

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for slope

m=\frac{y_2-y_1}{x_2-x_1}

STEP 2: Pick two points

STEP 3: Find the unit price per cup

Since 4 cups cost $5, one cup will cost

\frac{5}{4}=\text{ \$}1.25\text{ per cup}

Therefore, the answer is $1.25

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SOLVE <br><br> x + 3y = -1<br><br> y = x - 7<br><br><br><br><br><br> Write the solution below.
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Answer:

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2 years ago
Find the general solution of the given differential equation. cos^2(x)sin(x)dy/dx+(cos^3(x))y=1 g
eimsori [14]

If the given differential equation is

\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1

then multiply both sides by \frac1{\cos^2(x)} :

\sin(x) \dfrac{dy}{dx} + \cos(x) y = \sec^2(x)

The left side is the derivative of a product,

\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)

Integrate both sides with respect to x, recalling that \frac{d}{dx}\tan(x) = \sec^2(x) :

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\sin(x) y = \tan(x) + C

Solve for y :

\boxed{y = \sec(x) + C \csc(x)}which follows from [tex]\tan(x)=\frac{\sin(x)}{\cos(x)}.

7 0
2 years ago
Identify the volume of a cone with base area 64π m2 and a height 4 m less than 3 times the radius, rounded to the nearest tenth.
melomori [17]
V=basearea times 1/3 times height
basearea=6<span>4π m2
hmm, they try to make it difficult

basearea=circle=pir^2
pir^2=64pi
divide by pi
r^2=64
sqrt
r=9

h is 4 les than 3 time r
h=-4+3(8)
h=-4+24
h=20

v=1/3*64pi*20=1280pi/3 m^3=1350.4

C
</span>
4 0
3 years ago
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