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12345 [234]
3 years ago
8

Help me please this is late

Mathematics
1 answer:
Fudgin [204]3 years ago
8 0

To find explicit formulas, you need two things. The common difference and the first term.

For example, #18

The first term = -15

The common difference = -20 -(-15) = -20 + 15 = -5

y = A + B(n - 1)

A = our first term

B = our common difference

n = the term you want to find in the sequence.

Leta plug our numbers in from #18

y = -15 + -5(n - 1)

Let's find the 4th term in the sequence.

y = -15 + -5(4 - 1)

y = -15 + -5(3)

y = -15 + -15

y = -30

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Jordan will hike the trail shown at a rate of ​mi/h. Write a linear equation to represent the distance Jordan still has to walk
agasfer [191]

Answer:

<em>y = (-mi/h)x + b</em>

y = total distance left to cover

-mi/h = speed at wich he is covering ground

b = the total distance to cover from start to finish

Step-by-step explanation:

Slope Intercept form without other variables filled is shown like this with <em>mx </em>being the slope and <em>b </em>being the y intercept

<em>y = mx + b</em>

all we need to do is fill in known variables with hours multiplied by <em>x </em>represented as <em>m</em>...

<em>y = (-mi/h)x + b</em>

note the negative symbol, this shows that the higher that miles an hour (mi/h) aka speed is, the more distance he will cover REDUCING the distance to cover faster meaning the line will slope DOWNWARD

<em>b</em> would be the the total distance that he has started with, meaning on the point where the line crosses the y axis, the number it crosses at will represent how much he has started with

7 0
2 years ago
In 56 years ,Kevin will be 9 times as old as he is right now.<br><br> How old is he right now?
m_a_m_a [10]

Answer:

7

Step-by-step explanation:

5 0
3 years ago
If the fifth term in a geometric sequence is 1∕27 and the common ratio is 1∕3, find the explicit formula of the sequence.
ch4aika [34]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at
antiseptic1488 [7]

Answer:

W = 6t + 90

Step-by-step explanation:

Given :

Starting weight = intercept = 90 kg

Weight gained after 8 months = 138 kg

Using the slope intercept relation ;

We can obtain the rate of change, slope ;

y = mt + c

m = slope ; t = time after t months ; c = intercept

y = weight gained after 8 months

138 = 8m + 90

138 - 90 = 8m

48 = 8m

m = 48 / 8

m = 6

Hence, slope intercept equation equals :

W = 6t + 90

3 0
3 years ago
A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medica
expeople1 [14]

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

M = \frac{1850 + 2000}{2} = 1925

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

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 = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.898

The margin of error is:

M = T\frac{s}{\sqrt{n}}

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

Since M = 75, T = 2.898, n = 18

M = T\frac{s}{\sqrt{n}}

75 = 2.898\frac{s}{\sqrt{18}}

s = \frac{75\sqrt{18}}{2.898}

s = 109.7992

The sample standard deviation is of 109.7992 calories.

6 0
2 years ago
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