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dybincka [34]
3 years ago
5

Calculator question.

Mathematics
1 answer:
alexgriva [62]3 years ago
3 0

Answer:

D. [0,pi/2]

Step-by-step explanation:

when Ф = 0 in radian

r²=  4cos (2(0))

r² = 4 * 1

r² = 4

∴ r = √4 = 2

r = 2.

when Ф = π/2 in radian

r²=  4cos (2(π/2))

r² = 4 * -1

r² = -4

∴ r = 0

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Timed test please help
insens350 [35]

Last option: − ∞ < y < 5

8 0
3 years ago
he U.S. Bureau of Labor Statistics reports that the average annual expenditure on food and drink for all families is $5700. Assu
Papessa [141]

Answer:

87.08% percentage of families spend more than $4000 annually on food and drink

Step-by-step explanation:

Given -

average annual expenditure on food and drink for all families is $5700

Mean  (\nu) = 5700

standard deviation (\sigma ) = 1500

Let X be the no of families spend annually on food and drink

percentage of families spend more than $4000 annually on food and drink =

P(X > 4000)  = P(\frac{X - \nu }{\sigma }> \frac{ 4000 - 5700}{1500})

                      =  P(Z > - 1.13)     Using  (Z = \frac{X - \nu }{\sigma })

                      =  1 - P(Z

                      = 1 - .1292

                      = .8708

                       = 87.08%

7 0
3 years ago
Math help guys how wouls i work this out
Andrei [34K]

8 > 7 + \frac{x}{6}   Subtract 7 from both sides

1 > \frac{x}{6}   Multiply both sides by 6

6 > x   Flip it around so it's easier to read

x < 6

You can graph your answer by drawing an open circle at the 6 and coloring the line to the left. The circle should be open, because x is <em>less than 6</em>, not less than or equal to. You would color to the left to show that x can be anything less than 6.

4 0
3 years ago
Which description best compares the graphs given by the equations:
nexus9112 [7]

x - 5y = -5, -5x - 25y = 25

First, you'll need to get the x variable by itself.

x - 5y = -5<u>
</u><u>    +5    +5</u><u>
</u>       x = 0
So x is plotted on the 0.

For the second part of the first equation, you'll be looking for what the y variable represents.

x - 5y = -5
<u>-x           -x</u><u>
</u>     <u>-5y</u> = <u>-5</u><u>
</u><u>       5      5</u><u>
</u>        y = 1
So y is plotted on the 1 on the vertical line above the 0.

For the first part of the second equation, you'll do the same thing as in the first equation.

-5x - 25y = 25
<u>        +25   +25</u><u>
</u>          <u>-5x</u> = <u>50</u><u>
</u>            5      5
            x = 10
So the x for this equation is plotted on 10 on the horizontal line.

For the second part of the second equation, you will do the same thing as in the first equation.

-5x - 25y = 25
<u>+5               +5</u><u>
</u>       <u>-25y</u> = <u>30</u><u>
</u>        25      25
           y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.

<h2>Answer: B) Perpendicular</h2>

Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.

Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.

Intersecting means the lines may or may not be of equal length but will touch each other.

6 0
2 years ago
Find the area of a circle with radius, <br> r<br> = 5.99m.<br> Give your answer rounded to 2 DP.
GalinKa [24]

Answer: 112.72

Step-by-step explanation: We know that the formula for area of a circle is pi*r^2. Now we plug in the values. pi*5.99^2. Next we get rid of the exponent. 5.99*5.99 = 35.8801. Now we have pi*35.8801. Now if you are gonna use actual pi for this your answer would be 112.72065857. Round it to 2 decimal points and you have 112.72 . If you do 35.8801*3.14=112.663514 -> Round this and you have 112.66. So any of them would actually work but I would stick with 112.72.

3 0
2 years ago
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