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liberstina [14]
2 years ago
6

A car is driving down a road at a normal speed of 50 miles per hour. It enters a hilly area of gradual incline and decline, wher

e it must drive 50 miles up hill and then 50 miles downhill. If this 100 mile section of road takes 2.6 hours to traverse instead of the expected 2 hours (the time it would take if the road was completely flat) determine the speed that the hills add or subtract when going over.
Mathematics
1 answer:
OLga [1]2 years ago
4 0

Answer:

Step-by-step explanation:

I'm going to assume that the car goes 50-x mph uphill and 50+x mph downhill.

x ≅ 24 miles per hour

26 mph uphill and 74 mph downhill

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If f(x) = 2x and g(x) = sqrt x,what is the domain of (fog)(x)?
Norma-Jean [14]

Answer:

All Real x larger or equal zero

or in inequality form: x\geq 0

or in interval notation: [0,\infty)

Step-by-step explanation:

If f(x)=2x and g(x)=\sqrt{x}, then using the definition for the composition of functions (fo\,g)(x)=f(g(x)), we get:

(fo\,g)(x)=f(g(x)) \\(fo\,g)(x)=f(\sqrt{x} )\\(fo\,g)(x)=2\,\sqrt{x}

Base on this final expression, we understand that the Domain (numbers that can be used as input of the function and produce a real number as result) of this new function is limited to those x-values larger than or equal to zero. Negative numbers inside the square root will not produce a real number.

Therefore, the Domain is restricted to All Real numbers larger than or equal to o (zero).

This statement can also be given in inequality form as x\geq 0

or in interval notation: [0,\infty)

7 0
3 years ago
Landon has 15 fewer toy cars than his sister. If Landon has 84 toy cars, how many
Naily [24]

Landon's sister has:

<u>99 toy cars</u>

7 0
3 years ago
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A local hamburger shop sold a combined total of 446 hamburgers and cheeseburgers on Monday. There were 54 fewer cheeseburgers so
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2 years ago
HELP:Sarah, who is 19 feet away from Justin, has a ball in her hand. Sarah throws the ball away from Justin at a speed of 5 feet
Paha777 [63]

Answer:

Justin is 1 feet far away from Brandon

Step-by-step explanation:

As shown in the diagram, we let the distance between Justin and Brandon be x

Speed = \frac{distance}{time}

from the question

the total time taken by the ball to reach Brandson=4s

Also the total distance is travelled by the ball=19+x

while the average speed=5ft/s

By substitution we obtain

5 =  \frac{19 + x}{4}

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3 0
2 years ago
Pleaseeeee i need help
ziro4ka [17]

Answer:

110687192.78951, 6488.47368421, 4214, 0.0464, 0.03626

SIMPLIFIED WAY OF SAYING IT:

Last One to First Box

3rd One to 2nd Box

1st one to 3rd box

2nd one to 4th box

4th one to 5th box

Step-by-step explanation:

(4.3*10^(6))*(9.8*10^(-4)) = 4,214

(2.9*10^7)*(1.6*10^-9) = 0.0464

(4.7*10^3)*(8.6*10^-7)/(3.8*10^-4)*(6.1*10^2) = 6488.47368421

(4.9*10^3)*(7.4*10^-6) = 0.03626

Last one = 110687192.78951

3 0
1 year ago
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