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g100num [7]
3 years ago
6

8 tens + 3 ones = ____ tens + 13 ones

Mathematics
1 answer:
tia_tia [17]3 years ago
4 0

Answer:

7 tens

Step-by-step explanation:

the value of the first half of the statement is 83 and the value of the second one is 13 (without the tens) so that mean it has 70 left over to make it 7 tens.

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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
PLEASE GOD HELP ME!!!! ​
lara [203]

Another expression for the given rational function is x =r^\frac{1}{2}s^\frac{1}{2}

<h3>Indices expression</h3>

Given the rational function expressed as:

x = √rs

We can reconstruct the expression by writing it using exponents as shown;

x =\sqrt{rs}=(rs)^{\frac{1}{2} }

Separate to have:

x =r^\frac{1}{2}s^\frac{1}{2}

Hence another expression for the given rational function is x =r^\frac{1}{2}s^\frac{1}{2}

learn more on rational function here: brainly.com/question/1851758

#SPJ1

8 0
1 year ago
In the figure, PQ is parallel to RS. The length of PQ is 2 cm; the length of
Rashid [163]

Answer:

Step-by-step explanation:

Parallel lines in this kind of triangle are always in a strict ratio of small to large or large to small based on how you look at it. So we have 4cm to 6cm, which is 2:3 ratio. We know the smaller side, but want the larger side, so we can set up 2/3 = 10/? the ? is 15.  

5 0
3 years ago
Please help ASAP it is due today
Dmitrij [34]

Answer:

Step-by-step explanation:

What we know

total sum of angles = 540 deg

3/2 b cam also be written as 1.5b degrees.

So 1.5b + (b+45) + (2b - 90) +90 = 540

Step 1 -- get rid of parenthesis

         1.5b + b + 45 +2b -90 +90 =540

Step 2 -- combine the like expressions

         4.5b + 45 = 540

Step 3 -- subtract 45 from both the sides

         4.5b = 495

Step 4 -- divide 4.5 from both the sides

         b = 110  ----- not the right answer

Thats not right okay im sorry

but i guess if it is not 110 it should be 100, 90 etc.

90 = b is correct

4 0
2 years ago
F(x) = 10x2 + 8, evaluate f(-3).
OlgaM077 [116]

Answer:

98

Step-by-step explanation:

f(x) = 10x² + 8

= 10(-3)² + 8

= 10 (9) + 8

= 90 + 8

= 98

5 0
3 years ago
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