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Studentka2010 [4]
3 years ago
14

Janet sells custom artwork online. Her business profits for the month of August are shown in the table.

Mathematics
1 answer:
alexira [117]3 years ago
6 0

Answer:

-73.46 because she was up 56.92 but went in the negative 16.54. so the distance between those 2 numbers is 73.46$ in the negative

Step-by-step explanation:

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Please help!! I need to know this by today
mario62 [17]
Answer=60

Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.

a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18


The formula for the volume of a triangular prism is...

V=(area of the base)*(height)
V=1/2bh*H      where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H

So x=18 and y=3 1/3 or 3.33 repeating

The product of the two

18*3 1/3=60

Answer=60


6 0
2 years ago
Read 2 more answers
Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integ
atroni [7]

Answer: y=Ce^(^3^t^{^9}^)

Step-by-step explanation:

Beginning with the first differential equation:

\frac{dy}{dt} =27t^8y

This differential equation is denoted as a separable differential equation due to us having the ability to separate the variables. Divide both sides by 'y' to get:

\frac{1}{y} \frac{dy}{dt} =27t^8

Multiply both sides by 'dt' to get:

\frac{1}{y}dy =27t^8dt

Integrate both sides. Both sides will produce an integration constant, but I will merge them together into a single integration constant on the right side:

\int\limits {\frac{1}{y} } \, dy=\int\limits {27t^8} \, dt

ln(y)=27(\frac{1}{9} t^9)+C

ln(y)=3t^9+C

We want to cancel the natural log in order to isolate our function 'y'. We can do this by using 'e' since it is the inverse of the natural log:

e^l^n^(^y^)=e^(^3^t^{^9} ^+^C^)

y=e^(^3^t^{^9} ^+^C^)

We can take out the 'C' of the exponential using a rule of exponents. Addition in an exponent can be broken up into a product of their bases:

y=e^(^3^t^{^9}^)e^C

The term e^C is just another constant, so with impunity, I can absorb everything into a single constant:

y=Ce^(^3^t^{^9}^)

To check the answer by differentiation, you require the chain rule. Differentiating an exponential gives back the exponential, but you must multiply by the derivative of the inside. We get:

\frac{d}{dx} (y)=\frac{d}{dx}(Ce^(^3^t^{^9}^))

\frac{dy}{dx} =(Ce^(^3^t^{^9}^))*\frac{d}{dx}(3t^9)

\frac{dy}{dx} =(Ce^(^3^t^{^9}^))*27t^8

Now check if the derivative equals the right side of the original differential equation:

(Ce^(^3^t^{^9}^))*27t^8=27t^8*y(t)

Ce^(^3^t^{^9}^)*27t^8=27t^8*Ce^(^3^t^{^9}^)

QED

I unfortunately do not have enough room for your second question. It is the exact same type of differential equation as the one solved above. The only difference is the fractional exponent, which would make the problem slightly more involved. If you ask your second question again on a different problem, I'd be glad to help you solve it.

7 0
2 years ago
Pls someone help me or i’ll faint
never [62]
Answer:
a) DF = 20

b) DF =
Radical Form = sqrt(53)
Decimal Form = 7.28
5 0
2 years ago
Read 2 more answers
Write the decimal as a fraction in simplest form. 0.25 (with 25 repeating)
zlopas [31]
1/4, because you disregard the repeating 25s and round, and 25 x 4 is one hundred, so simplified it's 1/4.
8 0
2 years ago
Read 2 more answers
Gary has twice as many m&ms as larry. Jerry has three times as many m&ms as larry. Together the tree men have 108 m&
Igoryamba

Answer:

36

Step-by-step explanation:

Let number of m&ms Garry has be g

number of m&ms Larry has be l

Number of m&ms Jerry has be j

Since Gary has TWICE as Larry, we can write:

g = 2l

Also, Jerry has THRICE as Larry, we can write:

j = 3l

Together, they have 108, thus, we can write:

g + l + j = 108

Putting 1st and 2nd equation in 3rd, we can solve for Larry first. Shown below:

g + l + j = 108\\2l+l+3l=108\\6l=108\\l=\frac{108}{6}\\l=18

Larry has 18. To find Gary's number, we can use the fact g = 2l, so

g = 2 * 18 = 36

Gary has 36 m&ms

5 0
3 years ago
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