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iren [92.7K]
3 years ago
11

Rewrite the expression in the form b^n

Mathematics
1 answer:
aleksklad [387]3 years ago
5 0

Answer:

b 15/4

Step-by-step explanation:

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In a water treatment plant, water passes through a cone-shaped filter with a height of 4 m and a diameter of 9 m. The water flow
Maslowich
<span>so volume of a cone=1/3 times (area of base) times height

area of base=circle so
1/3 times pi times radius^2 times height

height=4
diameter=2radius
diameter/2=radius
9/2=4.5=radius

height=4
radius=4.5
aprox pi at 3.14
1/3 times (3.14 times 4.5^2) times 4=84.78
that's the volume of the cone

volume of cone=1/5 of cylinder

84.78=1/5cylinder
multiply both sdies  by 5
423.9=volume of cylinder

volume of cylinder=height times area of base
area of base=3.14 times r^2
v=h3.14r^2
423.9=3.14hr^2
divide both sdies by 3.14
135=hr^2
since we are not given the specific ratio of height to radius or such to the cone to the cylinder, we must use trial and error to elimninate wrong choices


135=hr^2
let's try A

A
135=3(3^3)
135=3(9)
135=27
false
A is wrong

B
4.23=h  5=r
135=4.23 times 5^2
135=4.23 times 25
135=105.75
false
B is wrong


C
h=15 r=6
135=15 times 6^2
135=15 times 36
135=540
false
C is wrong


D
33.75=h 2=r
135=33.75 times 2^2
135=33.75 times 4
135=135

the answer is D since it fitst the dimentions</span>
5 0
3 years ago
Read 2 more answers
the graph of f(x) shown below has the same shape as the graph of g(x)=x^4 but it is shifted to the right 1 unit what is its equa
klemol [59]
What you must do for this problem is to re-imagine the equation in "vertex form"

Vertex form: y=a(x-h)^{2}  +k
where "h" shifts the graph to the right if "h" is positive" and to the left if "h" is negative. K shifts the graph up and down.

g(x)=a(x-h)^{2} +k
g(x)=1(x-1)^{4} +0
a=1
h=1
k=0

So, your final answer should be: g(x)= (x-1)^{4}
7 0
3 years ago
Find the Measure of angle O<br> (see image)<br> Only real answers, please
allochka39001 [22]

Answer:

From the given figure we can see that :---

MN||PO, MN=PO and MP=NO

Therefore, angle M=angle N (adjacent sides of the trapezoid)

(8x - 16)  =  (6x + 20) \\ 2x = 36 \\  \boxed{x = 18}

angle M=angle N= (6×18)+20=108+20 =128°

angle O =(180°-128°)=52°

<h3>Hence, angle O is <u>52°</u><u>.</u></h3>
8 0
3 years ago
Factor 7x^2+35y-49 what is the answer please <br>​
zheka24 [161]

Answer:

Step-by-step explanation:

I do not know what you were asking for

7 0
3 years ago
)A bag contains 20 marbles of the same size that are blue, green, and red. The probability of picking a blue marble is 20%. The
Sindrei [870]

Answer:

If the bag contained 20% of blue marbles and 50% of green marbles than that would mean the bag would contain 30% of red marbles. The probability of picking a red marble from the bag would be considered unlikely.

Step-by-step explanation:

6 0
3 years ago
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