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vlada-n [284]
3 years ago
7

In ogilvie's class of 40 student 24 student report that English is their favorite class and 40 percent of the students report th

at keyboarding is their favorite class
Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0

Answer: English is the preferred one.

Step-by-step explanation:

When you are dealing with percentage problems you just have to do a simple rule of three to answer the question, we have that our 100% is the total number of students:40, and 40% of them report that keyboarding is their favorite class, while 24 students say that English is their favorite class, now we just have to convert:

We clear the X and our function would look like this:

Now we know that 16 kids prefer keyboarding over the 24 that prefer English, since there are more kids that prefer English that is the favorite class.

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h(t)=(t+3) 2 +5 h, left parenthesis, t, right parenthesis, equals, left parenthesis, t, plus, 3, right parenthesis, squared, plu
lesya692 [45]

Answer:

1

Step-by-step explanation:

If I understand the question right, G(t) = -((t-1)^2) + 5 and we want to solve for the average rate of change over the interval −4 ≤ t ≤ 5.

A function for the rate of change of G(t) is given by G'(t).

G'(t) = d/dt(-((t-1)^2) + 5). We solve this by using the chain rule.

d/dt(-((t-1)^2) + 5) = d/dt(-((t-1)^2)) + d/dt(5) = -2(t-1)*d/dt(t-`1) + 0 = (-2t + 2)*1 = -2t + 2

G'(t) = -2t + 2

This is a linear equation, and the average value of a linear equation f(x) over a range can be found by (f(min) + f(max))/2.

So the average value of G'(t) over −4 ≤ t ≤ 5 is given by ((-2(-4) + 2) + (-2(5) + 2))/2 = ((8 + 2) + (-10 + 2))/2 = (10 - 8)/2 = 2/2 = 1

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3 0
4 years ago
Question 1: find the volume of a cube whose total surface area is 486cm^2
lapo4ka [179]
<h3>The volume of cube is 729 cubic centimeter</h3>

<em><u>Solution:</u></em>

<em><u>The surface area of cube is given as:</u></em>

Surface\ area = 6a^2

Where, "a" is the length of side of cube

Given that, surface area = 486 square centimeter

486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9

<u><em>Find the volume of cube:</em></u>

volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729

Thus volume of cube is 729 cubic centimeter

8 0
3 years ago
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denpristay [2]

Answer:

-7 = m

Step-by-step explanation:

5m − 7 = 6m

Subtract 5m from each side

5m-5m − 7 = 6m-5m

-7 = m

6 0
2 years ago
Cloverdale Middle School is buying new helmets for the football team. Each helmet costs $89.95. How much money does the school s
seraphim [82]

Answer:

4047.75$

Step-by-step explanation:

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If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
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