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prohojiy [21]
2 years ago
10

PLEASE HELP ASAP! NO SCAMS ALLOWED!

Mathematics
1 answer:
Kitty [74]2 years ago
6 0

Answer:

Step-by-step explanation:

I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:

V=\pi\int\limits^a_b {[R(x)]^2-[r(x)]^2} \, dx

where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:

V=\pi\int\limits^5_3 {3^2}-0^2 \, dx  and

V-\pi\int\limits^5_3 {9} \, dx  and integrating:

V=\pi(9x\left \} {{5} \atop 3}} \right. and using the First Fundamental Theorem of Calculus:

V = π(9(5) - 9(3)) and

V = π(45 - 27) so

V = 18π units cubed or in decimal format,

V = 56.549 units cubed

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Alliic
pochemuha
First, we need to solve the first equation in order to see what the options need to be equivalent to. our first step to solving this is to distribute -3 through the parenthesis 
y + 5 = -3x + 3
next, move the constant to the right side and change its sign
y = -3x + 3 - 5
calculate the difference
y = -3x - 2
since we cant find x, your final solution for y is y = -3x - 2, x ∈ R
now that we know the solution to that equation, we can now solve the options listed to see which ones are equivalent.
first is y = -3x - 2, which is very simple to solve because y has already been found. since we know y and there is no solution for x, our answer to this equation is y = -3x -2, x ∈ R. since this is the exact same answer as our first equation, we know that the A is equivalent to y + 5 = -3(x - 1)
the next equation is also already solved for y and has no x, so the answer to this equation is y = -4x - 5, x ∈ R. since this is does not have the same answer that <span>y + 5 = -3(x - 1) had</span>, option B is not equivalent.
our next equation is 3x + y = -2 does not provide y for us, so we must solve it.
first, you need to move the variable to the right side and change its sign
3x = -2 - y
now divide both sides of the equation by 3
x = - 2/3 = y/3
write all the numerators above their common denominators
x = - 2 + y/3 
since we dont know what y is, our final solution is
x = - \frac{2+y}{3} , y ∈ R
since this answer does not match the answer we are looking for, option C is not equivalent.  
finally, we must solve -4x + y = -5
the first step to solving this is to move the variable to the right side and change its sign
-4x = -5 - y
divide both sides of the equation by -4
x = 5/4 + y/4
now, write all the numerators above their common denominators 
x = 5 + y/4
since we dont know what y is, our answer is x = \frac{5+y}{4} , y ∈ R
since this is also not equivalent to <span>y + 5 = -3(x - 1), our only answer is option A.
let me know if you have any further questions 
:)</span>
5 0
2 years ago
Explain the error Tina says that 6:8 is equivalent to 36:64 what did tina do wrong
brilliants [131]
Tina said that 6:8 is equal to 36:64.
It's wrong. It should be 48:64. Because just like a fraction, whatever you multiply in the bottom, you do to the top.
8 0
3 years ago
Read 2 more answers
7. Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6). Determine whether
kirill [66]

Answer:

SQUARE

Step-by-step explanation:

If Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6).

Find the following MN,  NP, PQ and MQ

Using the formula for calculating the distance between two points

MN = √(6-0)²+(0-4)²

MN = √6²+4²

MN = √36+16

MN = √52

MN = 2√13

NP = √(0-6)²+(-4-0)²

NP = √6²+4²

NP = √36+16

NP = √52

NP = 2√13

PQ = √(-6-0)²+(0-(-4))²

PQ = √6²+4²

PQ = √36+16

PQ = √52

PQ = 2√13

MQ = √(-6-0)²+(0-4)²

MQ = √6²+4²

MQ = √36+16

MQ= √52

MQ = 2√13

Since the length of all the sides are equal, hence the shape is a SQUARE

4 0
2 years ago
0.2x+2.7x−8.1=6.9+1.1x<br> plz help<br> 25 points on the line
ololo11 [35]

Answer:

Step-by-step explanation:

0.2x + 2.7x - 8.1 = 6.9 + 1.1x

0.2x + 2.7x - 1.1x = 6.9 + 8.1

1.8x = 15

x = 15/1.8

x = 8.33

6 0
3 years ago
An ice cream sells 4 drinks, in 5 sizes, and 7 flavors. How many ways can a customer order a drink?
tigry1 [53]

Answer:

140 ways

Step-by-step explanation:

4 x 5 x 7 = 140

3 0
3 years ago
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