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NeX [460]
3 years ago
5

Pls help , need this done by tomorrow.

Mathematics
1 answer:
quester [9]3 years ago
3 0

Answer:

Q matches to a and P matches to b

Step-by-step explanation:

This is a volume question so we can use the volume of a cylinder to see which one corresponds to what.  Volume of a cylinder is \pir^{2}h.  We know that the heights of the cylinders are the same since the diagram says so.  We also know pi is the same since thats a constant.  The only thing thats different is the radius (as you can see radius of P is bigger than Q).  If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q.  More volume means more time to fill up.  Since Q has less volume, it will take less time to fill up.  So now we look at the graph.  A shows that the height of water increases at a faster rate than that of B.  This is because there is less volume in that container (less volume=less time to fill up).  Therefore a matches to Q and therefore b matches to P

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PLEASE HELPPPPP
dsp73

Answer:

see explanation

Step-by-step explanation:

the equation of parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier.

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute any other point on the graph into the equation.

using (0, 7 )

7 = a(0 - 3)² + 1 ( subtract 1 from both sides )

6 = a(- 3)² = 9a ( divide both sides by 9 )

\frac{6}{9} = \frac{2}{3} = a

y = \frac{2}{3} (x - 3)² + 1 ← in vertex form

------------------------------------------------------

the equation of a parabola in factored form is

y = a(x - a)(x - b)

where a, b are the zeros and a is a multiplier

here zeros are - 1 and 3 , the factors are

(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)

y = a(x + 1)(x - 3)

to find a substitute any other point that lies on the graph into the equation.

using (0, - 3 )

- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

1 = a

y = (x + 1)(x - 3) ← in factored form

3 0
2 years ago
When a number is divided by -3, the result is 12 more than the number what is the number?
olga55 [171]
X/-3 = 12 + x
x = -36 - 3x
4x = 36
x= = 9

The number is 9.

8 0
3 years ago
A right cylindrical container perfectly holds 5 tennis balls placed one above the other. The radius of each ball is 3.35 centime
mash [69]

Answer: 394 cm3


Step-by-step explanation:

volume of cylinder - volume of 5 balls=extra volume

voc=πr2h=1181.09

pi=22/7

r=3.35

h= 5 x diameter of ball=33.5 (diameter = 2r)


vo5b=5(4/3πr3)=787.4

r=3.35

ev=voc-vo5b

=393.69


ROUND TO 394

5 0
3 years ago
Can you break down how this equation was solved?
dolphi86 [110]
Yes! Let me help you!

Here is the original equation, lets solve this step-by-step

(x + 2)/4 = 5

Now, lets find out how. 

We must apply the inverse operation. 

4/2 is the reciprocal, so lets multiply that to both sides. 

4/2 = 2
5*4 = 20

4x + 8 = 20
      -8      -8            Subtract 8 from both sides. (Inverse operation) 

4x = 12
4x/4  = 12/4             Divide 4 by both sides (Inverse)

x = 12/4
x = 3           Simplified

Answer:  x = 3
3 0
3 years ago
Read 2 more answers
If 20 is added to the data set below, which statement will be true?<br> 50, 55, 55, 60, 62
ANTONII [103]

Answer:

the answer will be 50 I think

8 0
3 years ago
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