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Andre45 [30]
3 years ago
7

Evaluate 12∣∣−x+3∣∣−5 when x = 11.

Mathematics
1 answer:
Evgen [1.6K]3 years ago
7 0

Answer:

91

Step-by-step explanation:

12∣∣−x+3∣∣−5

Let x = 11

12∣∣−11+3∣∣−5

Do the absolute value first

12∣∣-8∣∣−5

Taking the absolute value, which means making it positive

12* 8 -5

Multiply and divide

96 -5

91

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What is the reference angle for cos 2pie/3
kirill [66]

Answer:

Step-by-step explanation:

If your mind works better in degrees than it does radians, as does mine, it will be beneficial to us to see what degree measure this angle is. Convert it to degrees using the fact that 180° = π:

\frac{2\pi}{3}*\frac{180}{\pi}=120 degrees

Now that we know that, we can plot that angle in a coordinate plane. The terminal side of the angle lands in quadrant 2. To find the reference angle, we subtract 120 from 180 and get that the reference angle is 60 degrees, which is the same as π/3.

5 0
3 years ago
Alice bought of a pound of grapes and ate of a pound. How many pounds were left?
vivado [14]
None. She ate the pound she bought.
7 0
3 years ago
Read 2 more answers
Ann:my number has two periods.one contains the digits 4,1,and 8 in that order.the other contains the digit 9.
GarryVolchara [31]

The Decimal number system has following rules.

Suppose you have to write a number 4,567,892 .

2 -ones - (first period)

9-tens - (first period)

8-hundreds - (first period)

7-thousands  - (second period)

6-ten thousand- (second period)

5-hundred thousand- (second period)

4-million- (third period)

then comes ten million,hundred million and then Billion.

If a number is given you have to apply commas from left to right after every three places.

So, your number is 9,418.

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8 0
3 years ago
Someone answer this please it's for edguniety
KengaRu [80]
D = 171 - (61+53) = 171 -124 = 47
E = 171 - 90 = 81
A = 81 - (34+24) = 81 - 58 = 23
B = 61 - 23 = 38
C = 90 - (33+ 38) = 90 - 71 = 19

answer is B.
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=5%28sin%28t%29%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%2Bycos%28t%29%29%29%3Dcos%28t%29%20%20%28sin%28
Nataliya [291]
Assuming you mean

5\sin t\dfrac{\mathrm dy}{\mathrm dt}+5y\cos t=\cos t\sin^2t

This ODE is linear in y, and you can already contract the left hand side as the derivative of a product:

\dfrac{\mathrm d}{\mathrm dt}\left[5y\sin t\right]=\cos t\sin^2t

Integrating both sides with respect to t yields

5y\sin t=\displaystyle\int\cos t\sin^2t\,\mathrm dt
5y\sin t=\dfrac13\sin^3t+C
y=\dfrac1{15}\sin^2t+C\csc t

Given that y\left(\dfrac\pi2\right)=9, we have

9=\dfrac1{15}\sin^2\dfrac\pi2+C\csc\dfrac\pi2
9=\dfrac1{15}+C
C=\dfrac{134}{15}

so that the particular solution over the interval is

y=\dfrac1{15}\sin^2t+\dfrac{134}{15}\csc t
6 0
3 years ago
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