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Karo-lina-s [1.5K]
3 years ago
10

Find the mean of the data.

Mathematics
2 answers:
Vladimir79 [104]3 years ago
6 0

Answer:

5

Step-by-step explanation:

Masteriza [31]3 years ago
4 0
Answer: 5

explanation:
1 + 1 + 3 + 5 + 7 + 8 + 10= 35
35 divided by 7 (how many number you added up to get 35)
and then 35 divided by 7 is 5

hope this helped :))
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What is an equation of the line that passes through the point (-4,-3) and is perpendicular to the line 2x+3y=15
Katen [24]

Answer:

The equation would be y = 3/2x + 3

Step-by-step explanation:

First we have to find the slope of the original line. We can do this by solving for y.

2x + 3y = 15

3y = -2x + 15

y = -2/3x + 5

Now that we have the slope of -2/3, we know the slope of the new line will be 3/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use that and a point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 3 = 3/2(x + 4)

y + 3 = 3/2x + 6

y = 3/2x + 3

5 0
3 years ago
$2.95 coat; 5% tax what is the answer I don't understand it
lukranit [14]
The answer is that the coat costs $3.10 because you round $3.0975 to $3.10
4 0
3 years ago
-5(2r - 6p) + 3(41-3p)​
iragen [17]

Answer:

21p - 10r +123

Step-by-step explanation:

7 0
3 years ago
Rewrite with only sin x and cos x.
Annette [7]

Option A

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

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

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

cos 3x = cos(x + 2x)

We know that,

\cos (a+b)=\cos a \cos b-\sin a \sin b

Therefore,

\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x  ---- eqn 1

We know that,

\sin 2 x=2 \sin x \cos x

\cos 2 x=\cos ^{2} x-\sin ^{2} x

Substituting these values in eqn 1

\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)  -------- eqn 2

We know that,

\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x

Applying this in above eqn 2, we get

\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)

\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}

\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x

Therefore,

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

Option A is correct

7 0
3 years ago
What is the volume of the cylinder shown? Use 3.14 for pi. 4cm is the radius and 9cm is the height.
Irina18 [472]

Answer:

The formula is 4cm times 9cm which is 36cm. Then times that by pi which is 113.04. The answer is 113.04

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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