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andrezito [222]
3 years ago
15

Which number line shows all the values of x that make the inequality -3x+1<7 true?

Mathematics
1 answer:
iren2701 [21]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Firstly, we need to get the value of x 1-7 < 3x

-6 < 3x

-2 < x

or x > -2

So we need a number line that has the unshaded circle placed at 2 ( since the inequality sign is single) and it faces the right (arrow face right)

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The frequency, f, in Hz, at which a simple pendulum rocks back and forth is given by 1 , 2 g f π l = where g is the strength of
Monica [59]

Answer:

a. 0.9 Hz b. 0.37 Hz

Step-by-step explanation:

The frequency of the simple pendulum f = (1/2π)√g/l where g = acceleration due to gravity and l = length of pendulum

a. Find the frequency of a pendulum whose length is 1 foot and where the gravitational field is approximately 32 ft/s2

To find f on Earth, g = 32 ft/s² and l = 1 ft

So, f =  (1/2π)√(g/l)

f = (1/2π)√(32 ft/s²/1 ft)

f = (1/2π)√(32/s²)

f = (1/2π)(5.66 Hz)

f = 0.9 Hz

b. The strength of the gravitational field on the moon is about 1/6 as strong as on Earth.. Find the frequency of the same pendulum on the moon.

On the moon when acceleration due to gravity g' = g/6,

f =  (1/2π)√(g'/l)

f =  (1/2π)√(g/6l)

f = (1/2π)√[32 ft/s²/(6 × 1 ft)]

f = (1/2π)√(32/s²)/√6

f = (1/2π)(5.66 Hz)/√6

f = 0.9/√6 Hz

f = 0.37 Hz

3 0
3 years ago
311, 305,299,...Find the 32nd term.
adell [148]

Answer:

503

Step-by-step explanation:

4 0
3 years ago
Helppp please this is urgent :) thank you
larisa [96]

The slope would be -5/4 or -1.25 because the y-intercept is (0,5) and x-intercept is (4,0), thus giving y = 5 - (5 x)\/4

6 0
4 years ago
Kaylee put an empty cup underneath a leaking faucet. After 1 1/2 hours, Kaylee collected 1/4 cup of water. What is the rate in c
Tju [1.3M]

Answer:

I think it is 6/1

Step-by-step explanation:

You are wrong because 0.167 into a fraction is 167/1000 and that isn't one of the options but when I did it 1 1/2=3/2=1.5 and 1/4=0.25 so I did 1.5 divide by 0.25 and it gave me 6 so that why I think that my answer is correct and yours is not.

4 0
4 years ago
Solve to find side C please
Alex73 [517]

Answer:

c= 18.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos theta = a/c

cos 57 = 10/c

Multiply each side by c

c cos 57 =10

Divide each side by cos 57

c = 10/cos 57

c=18.36078459

Rounding to the nearest tenth

c= 18.4

6 0
3 years ago
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