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evablogger [386]
3 years ago
10

A builder uses squares to lay out various projects. Write two equations. The first equation should express the area of the squar

e (a) as a function of the length (l) of a side. The second should express the volume of a cube (v) as a function of the length (s) of a side.
Mathematics
1 answer:
Gnoma [55]3 years ago
3 0
Area as a function of length can be written as

f(l) = l^2

And volume of cube can be expressed as a function of side s as,

f(s) = s^3
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The point P(x,y) lies on the terminal side of an angle θ = -60° in standard posistion. What are the signs of the values of x and
lyudmila [28]

Answer:

x positive, y negative

Step-by-step explanation:

-60 is the 4th quadrant of the unit circle ( negative angles go clockwise from 0), so  the x value is positive and the y value is negative.

3 0
3 years ago
5.1.2 Exam: Semester 2 Exam
Nikolay [14]

Answer:

See attached picture to view the graph

Step-by-step explanation:

Start by analyzing how this average idea works:

If only one member goes to the trip, it will cost him/her $1000+$200 = $1200.

If two members go to the trip, then they will share the cost as per the following: ($1000+ $200 + $200 = $1400) which they will be dividing into two people, thus costing each of them $700.

Notice that the general function that represents such average will be given by: f(x) = \frac{1000+200x}{x}

Plot such function in the two dimensional plane, and you will get the asymptotic behavior shown in the attached image.

8 0
2 years ago
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule t
MissTica

Answer:

A) 99.7% of people have an IQ between 64 and 136.

B) 5% of people have an IQ score less than 76 or greater than 124.

C) 16% of people have an IQ score greater than 112.

Step-by-step explanation:

The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.

A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.

B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.

C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.

8 0
3 years ago
Write an appropriate direct variation equation if y = 27 when x = 9
Yuri [45]
Y = kx where k is a constant

27 = k*9
k = 27/9 = 3

required variation is y = 3x
4 0
3 years ago
Read 2 more answers
Please help!!!!!!!
krok68 [10]
<span>Divide by 3 get a remainder of 2
5, 8, 11, 14, 17, 20, ...
Divide by 5 get a remainder of 2
7 , 12, 17, 23, ...
Divide by 7 get a reminder of 5
12, 19, 26, 33, ...
 
And find a number in all three lists
</span>
<span>Not the most convenient way for sure, but since 47 works it will not take too long</span><span>

</span>
7 0
3 years ago
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