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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.

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Help PLS!!! DONT MAKE ANY CAP PLEASE!! I don't understand this problem.
fredd [130]

Answer:

b, a, e, h, f

Step-by-step explanation:

just test each variable

you can skip the ones that seem obviously wrong, like c, when you figure out the pattern.

b. |-5|=|-5|

g. |-3|≠|6|

a. |3|=|3|

e. |6|=|6|

j. |2|≠|-3|

h. |6|=|-6|

f.|-3|=|-3|

7 0
3 years ago
A random sample of 12 recent college graduates reported an average starting salary of $54,000 with a standard deviation of $6,00
Marianna [84]

Answer: a.) $50188 to $57812

Step-by-step explanation: <u>Confidence</u> <u>Interval</u> (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± z\frac{s}{\sqrt{n} }

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± 1.96.\frac{6000}{\sqrt{12} }

54,000 ± 1.96\frac{6000}{3.464}

54,000 ± 1.96*1732.102

54,000 ± 3395

This means the interval is

50605 < μ < 57395

<u>With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or </u><u>from 50188 to 57812$.</u>

<u />

b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.

4 0
3 years ago
Help please. Just need to answer 29-31 then I’m done. Thanks
Free_Kalibri [48]

Answer:

29. See table below

30. See attached graph

31. The slope is m= 0.10

The slope represent the cost for every additional call minute.

Step-by-step explanation:

The cost is $0.5  first minute and $0.10 for any additional minutes

If c is the total cost of a call that last t minutes then;

c= 0.10t + 0.5-----where t is the time the call lasted

29. Use the equation above to create the table as;

t {x}            c{y}

1                  0.6

2                 0.7

3                 0.8

4                 0.9

5                 1.0

6                 1.1

The graph of this plot is as attached , where the coordinates are

{1,0.6} , {2,0.7} ,{3,0.8} ,{4,0.9} ,{5,1.0}, {6,1.1}

The slope can be found using the formula;

m=Δy/Δx

m= 1.1 - 0.6 / 6-1

m= 0.5 / 5 = 0.10

The slope represent the cost for every additional call minute.

5 0
3 years ago
Distance between (-10,9) and (-5,2)
jonny [76]

Answer:

8.60 units (3 s.f.)

Step-by-step explanation:

The distance between 2 points is given by the formula:

\sqrt{(y1 - y2)^{2} +  {(x1 - x2)}^{2}  }

Thus using the above formula,

Distance between (-10, 9) and (-5, 2)

=  \sqrt{ {(9 - 2)}^{2}  +  {( - 10 + 5)}^{2} }  \\  =  \sqrt{ {7}^{2}  + ( - 5)^{2} }  \\  =  \sqrt{74}  \\  = 8.60 \: units \: (3 \: s.f.)

8 0
3 years ago
A baseball player gets 16 hits in 40 at bats. What percent of his at bats did not result
Katarina [22]

Answer:

40 percent

Step-by-step explanation:

Now percentage formula

Whatever

- - - - - - - - - - x 100

Total whatever

In this case your whatever is the hits. according to the question, if i said he had 40 hits in 40, that's a 100percent. So... Your whatever is 16, total whatever is 40

16

- - - - - - x 100

40

= 40 percent

6 0
2 years ago
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