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Sindrei [870]
3 years ago
7

In what quadrant does the angle -8pi/5 terminate?

Mathematics
2 answers:
Kipish [7]3 years ago
8 0
72 degrees, 1st quadrant
Katyanochek1 [597]3 years ago
4 0
It ends in quadrant 1. 
Since it's negative you go clockwise from (1, 0). And pi/5 = 36 degrees. 36 * 8 is 288 degrees, and since it's a negative angle, it'll go all the way around the unit circle to the 1st quadrant.
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the Royal fruit company produces two types of fruit drinks. the first type is 20% pure juice,the second type is 100% pure fruit
skad [1K]

30 pints of first type and 130 pints of second type drinks must be used to make the mixture.

<em><u>Explanation</u></em>

Lets assume, the amount of first type drink is x pints.

As the total amount of the mixture is 160 pints, so the amount of second type drink = (160-x) pints.

The first type is 20% pure juice, the second type is 100% pure fruit juice and the mixture is 85% pure fruit juice. So the equation will be .....

0.20x+1.00(160-x)= 0.85*160\\ \\ 0.20x+160-x=136\\ \\ -0.80x= -24\\ \\ x=\frac{-24}{-0.80}=30

So, the amount of first type drink is 30 pints and the amount of second type drink is (160-30)pints =130 pints.

5 0
3 years ago
4 4/10 divided by 4 2/3
leonid [27]

Answer: Responding for points

Step-by-step explanation:

7 0
3 years ago
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F(x) = a(x - h)power of 3 + k   please describe what a, h and k do within our function. 
Zarrin [17]

F(x) = a(x - h)³ + k

The parent graph is F(x) = x³

k - shifts the parent graph up k-units (or down if it is negative).  This is also called a vertical shift.

h - shifts the parent graph to the right h-units (or left if it is negative).  This is also called a horizontal shift.

a - stretches the parent graph vertically by a factor of "a"

Additonally, the coordinate (h, k) is the center/vertex of the graph.


6 0
3 years ago
The American Management Association is studying the income of store managers in the retail industry. A random sample of 49 manag
VashaNatasha [74]

Answer:

a) The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

b) The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

Step-by-step explanation:

Question a:

We have to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a p-value of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{2050}{\sqrt{49}} = 574

The lower end of the interval is the sample mean subtracted by M. So it is 45420 - 574 = $44,846.

The upper end of the interval is the sample mean added to M. So it is 45420 + 574 = $45,994.

The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

Question b:

The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

5 0
3 years ago
What is 78.867 ÷0.9 ANSWER FAST!!
xeze [42]

Answer:87.63

Step-by-step explanation:

4 0
3 years ago
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