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Makovka662 [10]
3 years ago
7

Express $112 for 14 hours as a unit rat

Mathematics
2 answers:
topjm [15]3 years ago
8 0
$8 per hour 

the equation to get this is 112/14

Maslowich3 years ago
5 0
In this problem you are tying to find how much money they make in 1 hour. The way to solve this is 112/14, which equals 8, so your unit rate is $8 / hour
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Use the given Maclaurin series to evaluate the limit
nekit [7.7K]

The "given series" should be for \cos(x), not x, so that

\cos(x) = 1 - \dfrac{x^2}2 + \dfrac{x^4}{24} - \dfrac{x^6}{720} + \cdots

In the limit (which should say x\to\infty, not n), we have

\displaystyle \lim_{x\to\infty} \frac{\frac{x^2}{1+\cos(x)}}{x^4} = \lim_{x\to\infty} \frac{1}{x^2\left(2 - \frac{x^2}2 + \frac{x^4}{24} - \cdots\right)} = \boxed{0}

7 0
2 years ago
Solve the inequality and enter your solution as an inequality in the box below.
kvv77 [185]

Answer:

X=6

Step-by-step explanation:

add 5 on both sides then 5=1=6 so X=6

6 0
3 years ago
Determine the five-number summary for this data set, taking into account any outliers. 10 13 15 12 12 4 12 17 12 13 15 18 10 11
TiliK225 [7]

The value of the median, lower and upper quartile

  • Median = 21.5
  • lower quartile = 12
  • upper quartile = 29

<h3>What is the five-number summary for this data set?</h3>

The minimum value = 10

The maximum value = 38

The median is the value that is found in the center of the data when it is ordered from lowest to highest. In the event that there is no value that precisely corresponds to the center, the value will be determined by taking the average of the values that are located on each side of the middle.

10  11  12  15  19  24  27  29  33  38

Median = 21.5

The intermediate value of the data that is located to the left of the median is known as the lower quartile.

10  11  12  15  19

lower quartile = 12

The intermediate value of the data that is located to the right of the median is known as the upper quartile.

24  27  29  33  38

upper quartile = 29

In conclusion, the 5 number summary is 10, 12, 21.5, 29, 38 → A

Read more about median

brainly.com/question/28060453

#SPJ1

3 0
2 years ago
How to differentiate y=x^n using the first principle. In this question, I cannot use the rule of differentiation. I have to do t
Zarrin [17]

By first principles, the derivative is

\displaystyle\lim_{h\to0}\frac{(x+h)^n-x^n}h

Use the binomial theorem to expand the numerator:

(x+h)^n=\displaystyle\sum_{i=0}^n\binom nix^{n-i}h^i=\binom n0x^n+\binom n1x^{n-1}h+\cdots+\binom nnh^n

(x+h)^n=x^n+nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n

where

\dbinom nk=\dfrac{n!}{k!(n-k)!}

The first term is eliminated, and the limit is

\displaystyle\lim_{h\to0}\frac{nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n}h

A power of h in every term of the numerator cancels with h in the denominator:

\displaystyle\lim_{h\to0}\left(nx^{n-1}+\dfrac{n(n-1)}2x^{n-2}h+\cdots+nxh^{n-2}+h^{n-1}\right)

Finally, each term containing h approaches 0 as h\to0, and the derivative is

y=x^n\implies y'=nx^{n-1}

4 0
3 years ago
Find the x-intercept of the line 9× + 3y = -18​
ella [17]

Answer:

(-2,0)

Step-by-step explanation:

To find the x intercept, set y =0 and solve for x

9x+3y = -18

9x +0 = -18

9x/9 = -18/9

x = -2

(-2,0)

4 0
3 years ago
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