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Dafna1 [17]
3 years ago
5

Evaluate f(g(5)) if F (x) = 5x + 2 and g (x) =X2 -4

Mathematics
1 answer:
Monica [59]3 years ago
7 0

Answer:

Step-by-step explanation:

g(5) = 5^2 - 4 = 25 - 4 = 21

f(21) = 5(21) + 2 = 105 + 2 = 107

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e. Translate the word problem below into an equation; then solve. It only takes Vera 2 hours to sew 1 dress, but it takes Ivy 4
Daniel [21]

Using the together rate, it is found that it would take them 16 hours to sew 12 dresses.

<h3>What is the together rate?</h3>

The together rate is the <u>sum of each separate rate</u>.

In this problem, we have that:

  • Vera's rate is of 1/2.
  • Ivy's rate is of 1/4.

Hence, the together rate is the time it would take them to produce one dress working together, and is given by:

\frac{1}{x} = \frac{1}{2} + \frac{1}{4}

\frac{1}{x} = \frac{2 + 1}{4}

3x = 4

x = \frac{4}{3}

Then one dress takes \frac{4}{3} of an hour, and the time for twelve dresses is:

t = 12 \times \frac{4}{3} = 4(4) = 16

It would take them 16 hours to sew 12 dresses.

To learn more about the together rate, you can take a look at brainly.com/question/25159431

6 0
2 years ago
(SAT Prep) An airplane has leveled off (is flying horizontally) at an altitude 12000 feet. When the airplane is at point P its p
serious [3.7K]

Answer:

m∠PRT = 114°

m∠T = 37°

m∠RPT = 29°

Step-by-step explanation:

This question is incomplete (without a picture) ; here is the picture attached.

In this picture, an airplane is at an altitude 12000 feet.

When the plane is at the point P, pilot can observe two towns at R and T in front of plane.

We have to find the measure of ∠PRT, ∠T and ∠RPT.

Form the figure attached segment PS is parallel to RT and PR is a transverse.

We know that internal angles formed on one side of the parallel lines by a transverse are supplementary.

Therefore, x + 66 = 180

x = 180 - 66 = 114°

∠PRT = x = 114°

m∠RPT = m∠SPR - m∠SPT

             = 66 - 37

             = 29°

Since m∠PRT + m∠T + m∠RPT = 180°

114 + ∠T + 29 = 180

143 + ∠T = 180

∠T = 180 - 143

∠T = 37°

8 0
3 years ago
Read 2 more answers
This circle graph shows how Jimmy spent his time during the last 24 hours.
MariettaO [177]

Answer:

Excess time = 1.2 hour

Step-by-step explanation:

Given:

Total time = 24 hours

Talking on phone = 17 %

Sleeping = 33%

Going to school = 25%

Studying = 4%

Eating = 8%

Computation:

Watching TV percent = 100% - Talking on phone - Sleeping - Going to school - Studying -  Studying - Eating

Watching TV percent = 100% - 17% - 33% - 25% - 4% - 8%

Watching TV percent = 13%

Time taken by school = 24 x 25%

Time taken by school = 6 hour

Time taken by watching T.V. and Talking on the Phone = 24 x (13% + 17%)

Time taken by watching T.V. and Talking on the Phone = 7.2 hour

Excess time = 7.2 - 6

Excess time = 1.2 hour

3 0
3 years ago
What is the hightest number that 9 and 27 both be divided into?
Elena L [17]
The highest number that both 9 and 27 can be multiplied into is 9. 9 can go into 9 one time, and 9 can go into 27 three times. 
9•1=9
9•3=27
(9, 18, 27 )=times
I hope I helped.
3 0
3 years ago
Read 2 more answers
A car travels 60km in 30 minutes. In how much time will it cover 100 km?
Daniel [21]

Answer:

About 40 Minutes, Or something close to that

Step-by-step explanation:

The car covers 60 km in 90 minutes or its speed = 60 km*60/90 min = 40 km/hr . So to cover 100 km at the same speed it will take 100/40 = 40 Min

5 0
3 years ago
Read 2 more answers
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