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3 years ago

I need help with this question

Mathematics

1 answer:

Yanka [14]3 years ago

4 0

Answer:

f(g(4)) = 5

Step-by-step explanation:

Recall that to find f(g(4)), we need to first find g(4) which we find via the given table:

g(4) = 0

and then use the graph to find f(0) = 5

Then f(g(4)) = 5

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A pendulum is 18 feet long. It's central angle is 44°. The pendulum makes one back and forth swing every 12 seconds. To the near

Gekata [30.6K]

Answer: it swings 138 feet in 1 minute

Step-by-step explanation:

The back and forth movement of the pendulum represents the length of the arc of the circle.

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = length of pendulum = 18 feet

θ = 44°

Length of arc = distance moved by the pendulum in one direction.

Therefore,

Length of arc = 44/360 × 2 × 3.14 × 18

Length of arc = 13.816 feet

The pendulum makes one back and forth swing every 12 seconds. It means that the distance it covers in one back and forth movement is

13.816 × 2 = 27.632 feet

If the pendulum swings 27.632 feet in 12 seconds, then

In 60 seconds(1 minute), the distance covered would be

(60 × 27.632)/12 = 138 feet

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3 years ago

One gallon of of paint covers about 450 square feet how many square feet will 1.5 gallons cover?

emmasim [6.3K]

1.5 gallons of paint will cover 675 square feet

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3 years ago

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Braxton has money in a savings account. The equation B = 800(1 + 0.03) can be used to calculate the amount

Sav [38]

Answer:

Braxton's initial investment is equals to (=) Pam's initial investment.

The interest on Braxton's account is less than (< ) the interest on Pam's account.

Step-by-step explanation:

Given - Braxton has money in a savings account. The equation

B = $800(1 + 0.03)^{t}$ can be used to calculate the amount of money

in dollars, B, Braxton has in his account after t years since opening

the account.

Pam also has money in a savings account. The equation

P= $800(1 + 0.04)^{t}$ can be used to calculate the amount of money in

dollars, P, Pam has in her account after t years since opening the

account.

To find - Braxton's initial investment ..........Pam's initial investment.

The interest on Braxton's account .....the interest on Pam's account.

Proof -

As given, Broxton equation is - $800(1 + 0.03)^{t}$

Pam equation is - $800(1 + 0.04)^{t}$

Now,

1.)

For initial investment , Put t = 0

⇒B = $800(1 + 0.03)^{0} = 800(1) = 800$

P = $800(1 + 0.04)^{0} = 800(1) = 800$

As for t = 0

Braxton's equation , B = Pam's equation,P

⇒Braxton's Initial investment = Pam's initial investment.

2.)

For the interest,

As we don not have time for which the interest has to be check.

So , let the time period = 5 years

Therefore,

B = $800(1 + 0.03)^{5} = 800(1.03)^{5} = 800(1.1593) = 927.42$

P = $800(1 + 0.04)^{5} = 800(1.04)^{5} = 800(1.2166) = 973.32$

Now,

Interest on Braxton's account = 927.42 - 800 = 127.42 ≈ 127

Interest on Pam's account = 973.32 - 800 = 173.32 ≈ 173

∴ we get

The interest on Braxton's account is less than the interest on Pam's account.

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3 years ago

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Darina [25.2K]

Answer:

1. A

2. B

3. B

4. C

Step-by-step explanation:

the words less than, greater than, less than equal to, and greater than equal to are key word you can use to solve this next time!

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4 years ago

18 - 3 exponent 2 dived by 3

BartSMP [9]

Answer:

the answer is 15

Step-by-step explanation:

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3 years ago

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