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ExtremeBDS [4]
3 years ago
14

On the graph shown, what is the slope ?

Mathematics
1 answer:
mr_godi [17]3 years ago
8 0

Answer:

3/4

Step-by-step explanation:

To find the slope using a line on a graph, calculate the difference between two points. To do so, use the formula y2 - y1/x2 - x1.

Two points on this line are (0, -1) and (4, 2). This means:

y2 = 2

y1 = -1

x2 = 4

x1 = 0

Plugging those values in, we get:

2 - (-1)/4 - 0

Evaluating 2 - (-1) and 4 - 0, we get 3/4. Therefore, the slope is 3/4.

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We have the following equation:
 h (t) = - 16t ^ 2 + 161t + 128
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 170 = -16t ^ 2 + 161t + 128
 We rewrite the equation:
 -16t ^ 2 + 161t + 128 - 170 = 0
 -16t ^ 2 + 161t - 42 = 0
 We look for the roots of the equation:
 t1 = (161/32) + root (23233) / 32
 t2 = (161/32) - root (23233) / 32
 Answer:
 
The object is 170 feet off the ground at the following times:
 
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7 0
3 years ago
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zlopas [31]

Answer:

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Step-by-step explanation:

i hope it helps :)

8 0
3 years ago
The number of club members is at least 25
gladu [14]
5 x 5 is your answer
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3 years ago
A study investigated the effectiveness of meditation training in reducing trait anxiety. The study evaluated subjects trait anxi
Setler79 [48]

Answer:

The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7787.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.7787\frac{6.9}{\sqrt{27}} = 3.7

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.9 - 3.7 = 1.2.

The upper end of the interval is the sample mean added to M. So it is 4.9 + 3.7 = 8.6.

The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).

6 0
2 years ago
The radius of a circle is 18 yards. What is the circle's area?<br> Use 3.14 for ​.
IrinaVladis [17]

Solution:

<u>We know that:</u>

  • Radius: 18 yards
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<u>Finding the area of the circle:</u>

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3 0
2 years ago
Read 2 more answers
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