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Sever21 [200]
2 years ago
10

Out of 100 seventh and eighth grade CAVA students there were 35 students that chose Music as their elective course and the rest

chose World Language. There were a total of 65 eighth grade students and 35 of them chose World Language as their elective.
Use this information to complete the two-way table.
Music World Language
8th Grade
7th Grade
Please Help, No goofy answers this is serious .
Mathematics
1 answer:
frutty [35]2 years ago
5 0

Answer:

                <u>| </u><u>Music  |  World Language  |  Total </u><u> </u>

<u>8th grade</u><u> |    30     |              35              |     65   </u>

<u>7th grade</u><u> |      5      |             30              |     35   </u>

Total        |    35      |              65              |   100

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What is the midline equation of y = -4sin (2x - 7) + 3?
Georgia [21]

Answer:

y = 3.

Step-by-step explanation:

The minimum and maximum value of \sin(2\, x - 7) over all real x are (-1) and 1, respectively. Hence, the maximum and minimum value of y = -4\, \sin(2\, x - 7) + 3 would be:

  • Maximum: y = (-4)\, (-1) + 3 = 7.
  • Minimum: y = (-4)\, (1)\ + 3 = (-1).

The midline equation of a sine wave is a horizontal line that is right in the middle of maximum and minimum y-values of that sine wave. In the sine wave in this question, the average of the maximum and minimum y\!-values is (1/2) \, (7 + (-1)) = 3. Hence, the midline equation of this sine wave would be y = 3.

4 0
1 year ago
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Please help me with #5
nlexa [21]
The answer is C, 25% increase. To find the increase, subtract starting value (780) from the final value (975). It equals out to be 195. Divide 195 by the starting value which turns out to be 0.25. Then, multiply 0.25 by 100 which equals out to be 25.
5 0
3 years ago
(05.01)A scale drawing of a living room is shown below. The scale is 1 : 40.
matrenka [14]

Answer:

A=266\frac{2}{3}\ ft^2

Step-by-step explanation:

we know that

The scale is \frac{1}{40}

That means

1 unit in the drawing represent 40 units in the actual

or

1 inch in the drawing represent 40 inches in the actual

step 1

Find the actual dimensions of the living room

Multiply the dimensions of the living room in the drawing by 40

Length:\ 6(40)=240\ in

Width:\ 4(40)=160\ in

step 2

Convert inches to feet

Remember that

1\ ft=12\ in

To convert inches to feet , divide by 12

so

Length:\ 240\ in=240/12=20\ ft

Width:\ 160\ in=160/12=\frac{40}{3}\ ft

step 3

Find the area in square feet

Multiply the length by the width

A=(20)(\frac{40}{3})=\frac{800}{3}\ ft^2

Convert to mixed number

A=\frac{800}{3}\ ft^2=\frac{798}{3}+\frac{2}{3}=266\frac{2}{3}\ ft^2

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3 years ago
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In the 1990s the demand for personal computers in the home went up with household income. For a given community in the 1990s, th
WITCHER [35]

Answer:

a) 0.5198 computers per household

b) 0.01153 computers

Step-by-step explanation:

Given:

number of computers in a home,

q = 0.3458 ln x - 3.045 ;   10,000 ≤ x ≤ 125,000

here x is mean household income

mean income = $30,000

increasing rate, \frac{dx}{dt} = $1,000

Now,

a) computers per household are

since,

mean income of  $30,000 lies in the range of 10,000 ≤ x ≤ 125,000

thus,

q = 0.3458 ln(30,000) - 3.045

or

q = 0.5198 computers per household

b) Rate of increase in computers i.e \frac{dq}{dt}

\frac{dq}{dt} = \frac{d(0.3458 ln x - 3.045)}{dt}

or

\frac{dq}{dt}=0.3458\times(\frac{1}{x})\frac{dx}{dt} - 0

on substituting the values, we get

\frac{dq}{dt}=0.3458\times(\frac{1}{30,000})\times1,000

or

= 0.01153 computers

6 0
3 years ago
For which of the following decreasing functions f does (f−1)′(10)=−1/8
Oduvanchick [21]

Recall the inverse function theorem: if f(x) has an inverse, and if f(a) = b and a = f⁻¹(b), then

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⇒   (f⁻¹)'(b) = 1/f'(a)

Let b = 10. Then pick the function f(x) such that f(a) = 10 and f'(a) = -8 for some number a.

7 0
2 years ago
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