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Novay_Z [31]
2 years ago
11

Three out of nine students in the computer club are getting prizes for first, second, and third place in a competition. How many

ways can first, second, and third place be assigned? 9 P 3 = StartFraction 9 factorial Over (9 minus 3) factorial 3 84 504 2048
Mathematics
2 answers:
n200080 [17]2 years ago
6 0

Answer:

C: 504   I just took the quiz and got it right

Step-by-step explanation:

Can you mark me as brainliest please

mixas84 [53]2 years ago
4 0

Answer:

B) 504

Step-by-step explanation:

I just took the test! Hope this helps!

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Point T is at (–3, 7). What are the coordinates of point T' after Ry-axis ∘ Rx-axis?
dimaraw [331]

Given:

The point is T(-3,7).

To find:

The image T' after R_{y-axis}\circ R_{x-axis}.

Solution:

R_{y-axis}\circ R_{x-axis}, it means reflection across x-axis is followed by reflection across y-axis.

If a point is reflected across the x-axis, then

(x,y)\to (x,-y)

T(-3,7)\to T_1(-3,-7)

Then point is reflected across the y-axis. So,

(x,y)\to (-x,y)

T_1(-3,-7)\to T'(3,-7)

Therefore, the coordinates of point T' are (3,-7).

6 0
2 years ago
casey bought sandwiches and a bag of chips. Each sandwich cost three times as much as bag of chips. She bought 5 sandwiches for
balandron [24]

Answer:

4

Step-by-step explanation:

If sandwiches are 6 dollars each, then chips are 3 dollars, she only bought 5 sandwiches for 6 each for 30 dollars(5*6=30).So, she has 12 dollars left to spend since she spent 42 dollars. And 4 *3=12so she only bought 4 bags of chips.

3 0
2 years ago
Read 2 more answers
The harmonic motion of a particle is given by f(t) = 2 cos(3t) + 3 sin(2t), 0 ≤ t ≤ 8. (a) When is the position function decreas
iren [92.7K]

For the last part, you have to find where f'(t) attains its maximum over 0\le t\le8. We have

f'(t)=-6\sin3t+6\cos2t

so that

f''(t)=-18\cos3t-12\sin2t

with critical points at t such that

-18\cos3t-12\sin2t=0

3\cos3t+2\sin2t=0

3(\cos^3t-3\cos t\sin^2t)+4\sin t\cos t=0

\cos t(3\cos^2t-9\sin^2t+4\sin t)=0

\cos t(12\sin^2t-4\sin t-3)=0

So either

\cos t=0\implies t=\dfrac{(2n+1)\pi}2

or

12\sin^2t-4\sin t-3=0\implies\sin t=\dfrac{1\pm\sqrt{10}}6\implies t=\sin^{-1}\dfrac{1\pm\sqrt{10}}6+2n\pi

where n is any integer. We get 8 solutions over the given interval with n=0,1,2 from the first set of solutions, n=0,1 from the set of solutions where \sin t=\dfrac{1+\sqrt{10}}6, and n=1 from the set of solutions where \sin t=\dfrac{1-\sqrt{10}}6. They are approximately

\dfrac\pi2\approx2

\dfrac{3\pi}2\approx5

\dfrac{5\pi}2\approx8

\sin^{-1}\dfrac{1+\sqrt{10}}6\approx1

2\pi+\sin^{-1}\dfrac{1+\sqrt{10}}6\approx7

2\pi+\sin^{-1}\dfrac{1-\sqrt{10}}6\approx6

4 0
2 years ago
in a certain normal distribution, 6.3% of the area lies to the left of 36 and 6.3% of the area lies to the right of 42. Find the
KATRIN_1 [288]

As the normal distribution is symmetric the mean is (36 + 42) / 2 = 39

 

p(X < 42) = 1 - 0.063 = 0.937

 

From tables Φ (1.53) = 0.9370

 

From this time:

42 is 1.53 standard deviations above the mean

42 = 39 + 1.53s

1.53s = 3

 

Standard deviation is = 1.96

5 0
2 years ago
Mike and Krista rent a jet ski while on vacation. The rental cost is represented by the function c(h)=50+20h, where the number o
Step2247 [10]

Answer:

130

Step-by-step explanation:

Given the equation of the relation as c(h) =50 +20 h where c(h) is the total cost for h hours and h is the number of hours of use, then to find the cost of jet ski if 4 hours were used will be;

c(h)=50 +20 h

c(4)=50 +20*4

c(4)=50 +80

=130

5 0
2 years ago
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