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pashok25 [27]
3 years ago
10

Simplify with positive exponents no radicals. SHOW ALL WORK!

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0
For this case, what you should keep in mind are the following considerations:

 1) Rewrite the expressions correctly using the properties of the exponents: Addition, multiplication, division, subtraction and negative exponents.

 2) Simplify the expression as much as possible.

 Answer: 
 See attached image.

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Round 824.0472 to the nearest hundredth.
Gelneren [198K]

Answer:

824.05

Step-by-step explanation:

the hundreths place is two spots behind the decimal, there is a four. Look at the number next to it is a 7 so you round up

4 0
2 years ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2
HACTEHA [7]

This question is incomplete, the complete question is;

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 = 2x, x = 2y; about the y-axis

Answer:

V = π (512/15)

Step-by-step explanation:

Given that;

region of rotation

y² = 2x, x = 2y

Region is rotated about y-axis as shown in the image

for the point of intersection,

y²/2 = 2y

y² - 4y = 0

y(y-4) = 0

∴ y = 0, y = 4

so the region lies in 0 ≤ y ≤ 4

Now cross section area of washer is

A(y) = π(outer radius)² = π(inner radius)²

A(y) = π(2y)² - π(y²/2)²

A(y) = π(4y²) - π(y⁴/4)

A(y) = π(4y² - (y⁴/4))

now volume of the solid of revolution is

V = ⁴∫₀ A(y) dy

V = ⁴∫₀ π(4y² - (y⁴/4))dy

V =  π {4⁴∫₀ y² - 1/4⁴∫₀y⁴ dy }

V = π { 4/3 [y³]₀⁴ - 1/20 [y⁵]₀⁴ }

V = π { 4/3 [4]₀⁴ - 1/20 [4]₀⁴ }

V = π { 4/3 [64]₀⁴ - 1/20 [1024]₀⁴ }

V = π { 256/3 - 1024/20 }

V = π { (5120 - 3072) / 60 }

V = π (512/15)

8 0
3 years ago
Pls help picture provided
dusya [7]
U need to divide 100 by the number of what’s given
6 0
3 years ago
I need help with this question
AVprozaik [17]

Step-by-step explanation:

Angle formed at the circumference of the circle is half of the angle formed at the center of the same circle.

Hence,

m\angle ADC =  \frac{1}{2} \times  m\angle ABC \\  \\  \therefore \: m\angle ADC =  \frac{1}{2} \times  40 \degree \\  \\ \therefore \:m\angle ADC =  20 \degree  \\  \\

5 0
3 years ago
Use the area model for 359 divided by 4
Wittaler [7]

359÷4 gives you 89.75

8 0
3 years ago
Read 2 more answers
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