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nexus9112 [7]
3 years ago
9

A rock is thrown upwards from the edge of a 52 foot cliff and eventually falls to the ground. The graph

Mathematics
2 answers:
Charra [1.4K]3 years ago
8 0

Answer:

The interval as observed from the graph where the height of rock is increasing is (0,3).

Step-by-step explanation:

We are given the following in the question:

A rock is thrown from a 52 foot cliff.

The attached image shows the graph of height of rock y units in time x seconds.

Thus, the x-axis represents time in seconds.

The y-axis represents the height of the rock.

We have to find the interval for which the height of rock is always increasing.

Looking at the graph, the height of rock follows a parabolic pattern that is first the height of rock increases, reaches a maximum value and then decreases.

The interval as observed from the graph where the height of rock is increasing is (0,3).

This can be interpreted as:

  • From 0 to 3 seconds the height of the rock increases from 52 foot to 180 foot.
  • At 3 second the rock is at maximum height that is 180 foot.
  • After 3 seconds the height of the rock decreases from 180 foot to 0 foot that is ground level.

Lina20 [59]3 years ago
5 0
The rock's height is increasing in the interval from 0 seconds to 3 seconds.

At time 0 the rock starts moving upward from 52 foot until it reachs 180 foot height (time 3 seconds). Then the rock starts to descend, which means that the height starts to decrease.
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Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spen
boyakko [2]
PART A
s = <span>the number of packets of strawberry wafers ;
c = </span><span>the number of packets of chocolate wafers ;
3 </span>× s + 1 × <span>c = 30 ;
s + c = 22 ;

PART B

</span>The method of solving "by substitution"<span> works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.
</span>
c = 30 - 3s;
s + ( 30 - 3s ) = 22;
30 - 2s = 22;
30 - 22 = 2s;
8 = 2s;
s = 4 ;
c = 30 - 12 ;
c = 18 ;

4 0
4 years ago
Large samples of women and men are​ obtained, and the hemoglobin level is measured in each subject. Here is the​ 95% confidence
qwelly [4]

Answer:

a) Because the confidence interval  does not include  0​ it appears that there

is  a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men.

b)There is​ 95% confidence that the interval from  −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2

c)   1.62 < μ1−μ2< 1.76

Step-by-step explanation:

a) What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in​ men?

Given:

95% confidence interval for the difference between the two population​ means:

−1.76g/dL< μ1−μ2 < −1.62g/dL

population 1 =  measures from women

population 2 =  measures from men

Solution:

a)

The given confidence interval has upper and lower bound of 1-62 and -1.76. This confidence interval does not contain 0. This shows that the population means difference is not likely to be 0. Thus the confidence interval implies that the mean hemoglobin level in women and the mean hemoglobin level in​ men is not equal and that the  women are likely to have less hemoglobin than men. This depicts that there is significant difference between mean hemoglobin level in women and the mean hemoglobin level in​ men.

b)  

There is​ 95% confidence that the interval −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2.

c)

If we interchange men and women then

  • confidence interval range sign will become positive.
  • μ1 becomes the population mean of the hemoglobin level in men
  • μ2 becomes the population mean of the hemoglobin level in women
  • So confidence interval becomes:

                                          1.62 g/dL<μ1−μ2<1.76 g/dL.

4 0
3 years ago
) For a company picnic, Robert ordered a box of fresh-baked gingerbread cookies and
Tasya [4]

Answer:

30 gingerbread cookies.

Step-by-step explanation:

100 x 0.3 = 30

8 0
3 years ago
How to get 18 by only using four 4s
I am Lyosha [343]

18 = 4 × 4 + 4 −√4 = (44 ÷ √4) − 4

7 0
4 years ago
Find the slope of the line. Write your answer in simplest form.
kotykmax [81]

Answer:

Slope = -3/5

Step-by-step explanation:

slope (m) = y2 - y1 / x2 - x1

m = -2 - 1 / 1 - -4

m = -3 / 1 + 4

m = -3 / 5

You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)

5 0
3 years ago
Read 2 more answers
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