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lorasvet [3.4K]
1 year ago
14

20 units rotated to 90 cc reflected over the x axis and translated 6 units down is ?

Mathematics
1 answer:
tester [92]1 year ago
8 0

Answer:

.

Step-by-step explanation:

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At a team meeting, 80% of the tennis team was there. If there were 12
Illusion [34]

Answer:

15 people

Step-by-step explanation:

let x=total # of people on the team

80%=12

80/100=12/x

cross multiply

80x=1200

division property of equality (divide both sides by 80)

x=15

There are 15 people on the team.

8 0
3 years ago
Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =
irga5000 [103]

Answer:  The required solution is y=50e^{0.1386t}.

Step-by-step explanation:

We are given to solve the following differential equation :

\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

\dfrac{dy}{y}=kdt.

Integrating both sides, we get

\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]

Also, the conditions are

y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50

and

y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.

Thus, the required solution is y=50e^{0.1386t}.

8 0
3 years ago
Read 2 more answers
What is the value of<br>7x2 - 10, when x = 6?<br>​
cestrela7 [59]

Answer:

242

Step-by-step explanation:

7(6*6)-10

7(36)-10

252-10

=242

7 0
4 years ago
If the store paid $75 for a clarent and sold it for 100
IceJOKER [234]

Answer:

Is this the full question?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cel
OverLord2011 [107]

Answer:

p = 18

Step-by-step explanation:

4(p-7) = 44

The operations in order are to distribute first, 4p - 28 = 44

Isolate the variable, 4p = 72

and divide for the answer, p = 18

P stands for pictures, the number of pictures that can be saved to your photo stream at once is 18.

7 0
2 years ago
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