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mr Goodwill [35]
2 years ago
13

Solve the equation for the red variable(C)in R-C=P

Mathematics
1 answer:
BARSIC [14]2 years ago
5 0

If you want to solve the equation

R-C=P

for C, you can work like this: subtract P from both sides:

R-C-P = 0

Add C to both sides:

R-P=C

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A region R in the xy-plane is given. Find equations for a transformation T that maps a rectangular region S in the uv-plane onto
Gre4nikov [31]
\begin{cases}y=2x-2\\y=2x+2\end{cases}\implies\begin{cases}-2x+y=-2\\-2x+y=2\end{cases}

For these lines, let u=-2x+y.

\begin{cases}y=2-x\\y=4-x\end{cases}\implies\begin{cases}x+y=2\\x+y=4\end{cases}

And for these, let v=x+y.

Now,

\begin{cases}u=-2x+y\\v=x+y\end{cases}\implies \begin{bmatrix}u\\v\end{bmatrix}=\underbrace{\begin{bmatrix}-2&1\\1&1\end{bmatrix}}_{\mathbf T}\begin{bmatrix}x\\y\end{bmatrix}

The vertices of S in the x-y plane are (0, 2), (2/3, 10/3), (2, 2), and (4/3, 2/3). Applying \mathbf T to each of these yields, respectively, (2, 2), (2, 4), (-2, 4), and (-2, 2), which are the vertices of a rectangle whose sides are parallel to the u-v plane.
6 0
2 years ago
In which set do all of the values make the inequality 2x - 1 < 10 true?
igomit [66]

2x - 1 < 10\Leftrightarrow 2x < 11\Leftrightarrow x <  \frac{11}{2}

8 0
2 years ago
janie served 4 same size pizzas. Explain how to find how manyslices of pizza served if the angle for each slice turns through a
Arlecino [84]
So Janie has 4 pizza.

How many individual slice can be served if they are right angles.

Now a right angle is 90 degrees and looks like this
l
l
l______

Now if we are talking a pizza in the shape of a circle

A circle is 360 degrees around

This means we can fit 4, 90 degree right angles into 1 pizza.

So doing this math. 4, 90 degree pieces per pizza

And 4 pizzas

4 x 4 = 16

16 right angle slices can we served

Hope this helps!
Brainliest is appreciated if you feel its deserved!<span />
5 0
2 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each function to the description it
eimsori [14]

Answer:

Part 1) f(x)=15(1.06)^x

Part 2) f(x)=60(1.015)^x

Part 3) f(x)=150(1.6)^x

Step-by-step explanation:

we know that

The equation of a exponential growth is equal to

y=a(1+r)^x

where

a is the initial value

r is the rate of change

Part 1) we have

A scientist initially had 15 micrograms of bacteria in a petri dish, which increased at a rate of 6% each hour

Let

x ---> the number of hours

y ---> micrograms of bacteria

we have

a=15\ micrograms\\r=6\%=6/100=0.06

substitute

y=15(1+0.06)^x

y=15(1.06)^x

Convert to function notation

f(x)=15(1.06)^x

Part 2) we have

The membership price for an online retailer was initially $60 per year, but it increased at a rate of 1.5% per year

Let

x ---> the number of years

y ---> the membership price for an online retailer

we have

a=\$60\\r=1.5\%=1.5/100=0.015

substitute

y=60(1+0.015)^x

y=60(1.015)^x

Convert to function notation

f(x)=60(1.015)^x

Part 3) we have

An online blog started with 150 followers, and the number of followers increased at a rate of 60% each month.

Let

x ---> the number of months

y ---> the number of followers

we have

a=150\ followers\\r=60\%=60/100=0.6

substitute

y=150(1+0.6)^x

y=150(1.6)^x

Convert to function notation

f(x)=150(1.6)^x

3 0
2 years ago
The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock wil
Tresset [83]

A.

360/12=30 degrees between each number

3-1 = 2 2*30 = 60 degrees so A is FALSE

B

C=2 x PI x r

r=10 using 3.14 for PI = 10*3.14 =31.4 x 2 = 62.8 so B is TRUE

C 30 x 4 = 120 degrees = TRUS

D

10-3 = 7

7/12 x 62.8 = 0.5833*62.8 = 36.63 inches = FALSE

E

1/12=0.0833 x 62.8 = 5.23 rounded to 5.2 = TRUE


6 0
2 years ago
Read 2 more answers
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