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3 years ago

8

a plumber worked at a house on two diffrent days. on the first day, the plumber worked for 5/8 of an hour, on the second day the

plumber worked for 1/4.What is the total amount of time, in hours , the plumber worked

1 answer:

Mademuasel [1]3 years ago

5 0

Answer: The plumber worked 7/8 hours in total.

Step-by-step explanation:

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the measure of the seven angels in an octagon measure 129, 132, 136, 124, 141, 158, and 116. what is the measurement of the last

Taya2010 [7]

Answer:

116

Step-by-step explanation:

IT SAYS WHAT IS THE MEASUREMENT OF THE LAST ANGLE 116 WHAT THE LAST NUMBER.

8 0

2 years ago

Solve the system: 10x-9y=8 21y+15x=0.5

artcher [175]

Answer:

x = 1/2 y = -1/3

Step-by-step explanation:

Split it into 2 equations:

10x-9y=8

and

21y+15x=0.5

10x - 9y = 8

Step 1: Divide both sides by 10:

x = (8+9y)/(10)

Substitute x = (8+9y)/(10) into 21y+15x=0.5 :

21y + (3(8+9))/(2) = 0.5

Solve for y

<u>y= -1/3</u>

Substitute y= -1/3 into x = (8+9y)/(10)

<u>x = 1/2</u>

<u />

3 0

2 years ago

If the standard deviation of a set of data is zero, what can you conclude about the set of values? The sum of the deviations fro

Rashid [163]

Answer:

All values are identical.

Step-by-step explanation:

We are given the following in the question:

If the standard deviation of a set of data is zero.

Then, all the values in data are identical.

This can be shown as:

Let all the terms in data be x.

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{nx}{n} = x$

Sum of squares of differences =

$\displaystyle\sum (x_i - x)^2 = 0$

$\sigma = \sqrt{\frac{0}{n}} = 0$

Thus, the correct answer is

All values are identical.

3 0

3 years ago

Mario and Luigi want to purchase some extra controllers for their friends.each controller costs 29.99. Use an algebraic expressi

Doss [256]

How many controllers do they need

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2 years ago

Read 2 more answers

Integrate Sec (4x - 1) Tan (4x - 1) Dx

Delicious77 [7]

$\bf \displaystyle\int~sec(4x-1)tan(4x-1)dx \\\\[-0.35em] ~\dotfill\\\\ sec(4x-1)tan(4x-1)\implies \cfrac{1}{cos(4x-1)}\cdot \cfrac{sin(4x-1)}{cos(4x-1)}\implies \cfrac{sin(4x-1)}{cos^2(4x-1)} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int~\cfrac{sin(4x-1)}{cos^2(4x-1)}dx \\\\[-0.35em] ~\dotfill\\\\ u=cos(4x-1)\implies \cfrac{du}{dx}=-sin(4x-1)\cdot 4\implies \cfrac{du}{-4sin(4x-1)}=dx \\\\[-0.35em] ~\dotfill$

$\bf \displaystyle\int~\cfrac{~~\begin{matrix} sin(4x-1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{u^2}\cdot \cfrac{du}{-4~~\begin{matrix} sin(4x-1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies -\cfrac{1}{4}\int\cfrac{1}{u^2}du\implies -\cfrac{1}{4}\int u^{-2}du \\\\\\ -\cfrac{1}{4}\cdot \cfrac{u^{-2+1}}{-1}\implies \cfrac{1}{4}\cdot u^{-1}\implies \cfrac{1}{4u}\implies \cfrac{1}{4cos(4x+1)}+C$

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3 years ago