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12345 [234]
3 years ago
14

Solve the equation x = 2/3 π r3 for r.

Mathematics
1 answer:
Delvig [45]3 years ago
5 0

Option A

3x = 2πr^3

3x/2π =x^3

3√(3x/2π) = x

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The square of a negative number is twenty-eight more than three times the negative number. Find the number.
MAXImum [283]
The number is x

it is negative
the square is 28 more than 3 times itself
x²=28+3x
minus (28+3x)
x²-3x-28=0
factor
(x-7)(x+4)=0
set to zero

x-7=0
x=7
this is not the answer because we were told the number was negative


x+4=0
x=-4
correct

the number is -4
test
(-4)²=28+3(-4)
16=28-12
16=16
check


the number is -4
8 0
3 years ago
Read 2 more answers
Complete the square 2x2- 12x+ 26 = 10
Mariana [72]
2x^2-12x+26=10\ \ \ | subtract\ 10\\\\
2x^2-12x+16=0\ \ \ | divide\ by\ 2\\\\
x^2-6x+8=0\\\\
put\ into\ form:\ (x+d)^2+c=0\\
-6x=2xd\ \ \ | divide\ by\ x\\
d=-3\\
8=d^2+c\\
8=9+c\ \ \ | subtract\ 9\\
c=-1\\\\
After\ completing\ the\ square:\\
(x-3)^2-1=0
4 0
3 years ago
The data set below represents the ages of 11 kids in an after-school program. 10, 11, 8, 7, 6, 10, 7, 10, 9, 9, 12 Which box plo
Andreas93 [3]

Answer:

This is the answer because you need to find mean median mode range, first quertile, third quartile

Whisker plot below

Step-by-step explanation:

Mean (Average) 9

Median 9

Range 6

Mode 10, appeared 3 times

Geometric Mean 8.8206311297046

Largest 12

Smallest 6

Sum 99

Count 11

■ 1st quartile (lower quartile) = 7.5

■ 2st quartile (median) = 9

■ 3st quartile (upper quartile) = 10

8 0
3 years ago
Approximate f by a Taylor polynomial with degree n at the number a. Step 1 The Taylor polynomial with degree n = 3 is T3(x) = f(
MAVERICK [17]

Answer:

If you center the series at x=1

T_3(x) = e^2 + 4e^2 (x-1)+10(x-1)^2 + \frac{56}{3} e^2(x-1)^3 + R(x)

Where R(x) is the error.

Step-by-step explanation:

From the information given we know that

f(x) = e^{2x^2}

f'(x) = 4x e^{2x^2}   (This comes from the chain rule )

f^{(2)}(x) = 4e^{2x^2} (4x^2+1)   (This comes from the chain rule and the product rule)

f^{(3)}(x) = 16xe^{2x^2}(4x^2 + 3)  (This comes from the chain rule and the product rule)

If you center the series at x=1  then

T_3(x) = e^2 + 4e^2 (x-1)+10(x-1)^2 + \frac{56}{3} e^2(x-1)^3 + R(x)

Where R(x) is the error.

3 0
3 years ago
Find 50% of 36:<br> Find 25% of 36:<br> Find 75% of 36:
HACTEHA [7]

Answer:

18, 9, 27

Step-by-step explanation:

36 ÷ 2 = 18. Dividing by 2 is the same as multiplying by 50%.

36 ÷ 4 = 9. Dividing by 4 is the same as multiplying by 25%.

Since 25% • 3 = 75%, you can do 9 (from previous) • 3 to get 27.

5 0
3 years ago
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