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madam [21]
3 years ago
11

Question 9 of 25 2 Points What is g(x)?

Mathematics
1 answer:
patriot [66]3 years ago
5 0
Composition means that you can plug g(x) into f (x). This is written as "( f o g)(x)", which is pronounced as "f-compose-g of x". And "( f o g)(x)" means " f (g(x))". That is, you plug something in for x, then you plug that value into g, simplify, and then plug the result into f. hope this helps.
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Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se
sesenic [268]

Answer:

Log_5 12=1.54

Step-by-step explanation:

We are given that

Log_5 12

We have to find the value of given logarithms by using change-base formula

Base-change formula:

log_a b=\frac{Log_x b}{Log_x a}

Where x=New base

Using the formula then, we get

Log_5 12=\frac{log_{10} 12}{log_{10} 5}

Substitute the values log_{10}12=1.079, log_{10}5=0.699

Then,we get

Log_5 12=\frac{1.079}{0.699}

Log_5 12=1.54

3 0
3 years ago
Will give brainliest
klio [65]

Answer:

Area of the parallelogram =base×height

area of parallelogram =3cm×2cm

area of parallelogram = 6cm²

8 0
3 years ago
Is 319,292 divisible by 4?
oksano4ka [1.4K]

Answer:

Yes

Step-by-step explanation:

When you divide it, it has no remainder.

Hope this helps

5 0
2 years ago
Read 2 more answers
The measure of angle θ is 7pi/6 . The measure of its reference angle is __ ° , and sin θ is __ .
Cloud [144]

FOLLOW ME FOR CLEARING YOUR NEXT DOUBT

7 0
3 years ago
A volleyball court measures 30-feet wide by 60-feet long. The net is located 30 feet from the serve line. Assume the server stan
AveGali [126]

This is a tough question to answer, not because it's hard, but because it's hard to know what's already been taught.  For example we can express the components of the velocity off the racket in polar or rectangular form.  We could write the equation to include air resistance, definitely a concern for a real tennis serve, but not usually for high school math.

It's a projectile; there are really two variables, the initial velocity off the racket in the horizontal direction, and the initial velocity of the racket in the vertical direction.

Let's say the server hits the ball at her usual service velocity v₀.  Let's say the ball is at height h when it comes in contact with the racket. We'll further assume she gets to control the angle of elevation A she hits the ball.

In the horizontal direction we have constant velocity.

x = ( v₀ cos θ ) t

For us, we're interested in the time the ball takes to travel 31 horizontal feet.  We set x=31 feet.

t = x /  ( v₀ cos θ )  = 31 /  ( v₀ cos θ )

In the y direction we have motion in a constant gravitational field:

y = -16t² + ( v₀ sin θ ) t + h

-16 (feet per second per second) is the acceleration of gravity.  v₀ sin θ  is the vertical component of velocity.  h is the initial height of the ball when it hit the racket.

We need y > 7.5 to clear the net.  Let's set it equal to 7.5 to calculate the 'just barely' numbers.

7.5 = -16t² + ( v₀ sin θ ) t + h

We substitute  t = 31 /  ( v₀ cos θ )

7.5 - h = -16(31 /  ( v₀ cos θ ))² + ( v₀ sin θ ) ( 31 /  ( v₀ cos θ ) )

7.5 - h = -16(31²) /( v₀² cos²θ ) + 31 v₀ tan θ

Let's stop here; that's our equation, we don't need to solve it.  If we fixed h and v₀ this would be a trig problem to solve for θ, the angle she needs to hit the ball given her height and strength.

I've been documenting along the way; to recap, 7.5 is the height in feet of the net, h is the height of the ball when hit, -16 is the acceleration of gravity, 31 is the horizontal distance to the net, v₀ is the speed of the ball off the racket, θ<em> </em>is the angle of elevation of the ball off the racket.

3 0
3 years ago
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