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Lostsunrise [7]
3 years ago
14

A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until i

t reaches the peak at 2,000 feet. Then, as the car moves down to the hill’s base, its elevation drops at the same rate.
Mathematics
2 answers:
sergiy2304 [10]3 years ago
7 0

Answer:

t=40min

Step-by-step explanation:

speed is ratio of distance to time.

S=distance/time

50ft/min=2000/t

t=2000/50

t=40min

y=mx+c

y=50x+c

m=50ft/min gradient of the graph

the equation that satisfy the problem

victus00 [196]3 years ago
4 0

Answer:

the rate is 40 min.

Step-by-step explanation:

50 times 1 is 50 and 2000 divided by 50 is 40 which gives you 40 min.

You might be interested in
The perimeter of this rectangle is 156 cm.
erastova [34]

Answer:

x = 15

Therefore, the length and width are 31 and 47.

Step-by-step explanation:

Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156

Simplified,

10x + 6 = 156

Subtract 6 from both sides, then divide by 10.

10x = 150

x = 15

To find the length and width, substitute 15 (the value of x) into the individual equations.

2(15) + 1 = 31

3(15) + 2 = 47

5 0
3 years ago
HURRY PLEASE Which function is the inverse of f(x) = -5x – 4?
vagabundo [1.1K]

Answer:

f^-1(x)= -x/5 - 4/5

Step-by-step explanation:

7 0
2 years ago
PLEASE HELP SOON. i have been stuck on this algebra 1 question for what feels like an eternity can someone please help and soon?
-Dominant- [34]
You are trying to find an x-value for which f(x) = g(x).  At first your choice of x is arbitrary.  In the given table, the first x-value tried was 0 (zero).  For this value of x, f(x) does NOT equal g(x).

Next x was 1.  f(x) and g(x) are even further apart here.  So reject 1 and try 2 instead.  Notice how f(x) and g(x) are closer together now than they were for x=1.

Note that for x=2.5, f(x) and g(x) are even closer together; ony 0.75 separates them.   

Your turn.  Try x=2.4, x=2.3, and so on.  You may have to go in the other direction:  Try x=2.6, x=2.7, and so on.  If f(x) and g(x) are getting closer to one another, you're going in the right direction; if further apart, you're going in the wrong direction.  

Have fun.  This really is an interesting problem.
6 0
3 years ago
A club consists of 21 Republicans and 25 Democrats. If four people are chosen at random to be on a​ committee, what is the proba
Allushta [10]

Answer:

88.58% probability that at least one person from each political party will be​ chosen

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Also, the order which the people are chosen is not important. So the combinations formula is used to solve this problem.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

If four people are chosen at random to be on a​ committee, what is the probability that at least one person from each political party will be​ chosen?

Either only Republicans or Democrats are chosen, or at least one member from each party is chosen. The sum of these probabilities is 100%.

The easier way to solve this is first finding the probability that members are only from one party.

Probability of having members from only one party:

Desired outcomes:

Only Democrats:

4 from a set of 25.

Only Republican:

4 from a set of 21.

So

D = C_{25,4} + C_{21,4} = \frac{25!}{4!21!} + \frac{21!}{4!17!} = 18635

Total outcomes:

4 from 21+25 = 46 total members

T = C_{46,4} = \frac{46!}{4!42!} = 163185

Probability:

p = \frac{D}{T} = \frac{18635}{163185} = 0.1142

11.42% probability of having people from only one party in the committee

Probability of at least one person from each party:

p + 11.42 = 100

p = 88.58

88.58% probability that at least one person from each political party will be​ chosen

5 0
3 years ago
Peter cycles for 1/4 hours at a speed of 20 km/h
yKpoI14uk [10]

Answer:

His average speed is

12 km/hr

.

Step-by-step explanation:

Remember the triangle of Speed, Distance and Time. If you remember it, you'll ace these kinda questions.

I had trouble with these formulas but the triangle helped me a LOT! Anyways, let's get back to the question. The formula for average speed is pretty much the same as the formula for just speed. The average speed formula is

Average speed

=

Total Distance

Total Time

So......

48 km

4 hr

=

12 km/hr

My source

I hope this explanation helps you!

5 0
3 years ago
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