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2 years ago

The prime factorization of a number is 2x2x3x7x7. Is the number a perfect square? how do you know ?

Mathematics

1 answer:

Naya [18.7K]2 years ago

5 0

Answer:

No,the number isn't a perfect square

Step-by-step explanation:

Taking the prime factor of the number, each factor can be raised to the power of 2 except 3

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A water tank in the shape of an inverted circular cone has a base radius of 3 m and height of 7 m . If water is being pumped int

Wittaler [7]

The water level increases by 0.608 meters per minute when the water is 3.5 m deep

<h3>How to determine the rate?</h3>

The given parameters are:

Radius, r = 3
Height, h = 7
Rate in, V' = 4.3m^3/min

The relationship between the radius and height is:

r/h = 3/7

Make r the subject

r = 3h/7

The volume of a cone is;

$V = \frac 13\pi r^2h$

This gives

$V = \frac 13\pi (\frac{3h}{7})^2h$

Expand

$V = \frac{3h^3}{49}\pi$

Differentiate

$V' = \frac{9h^2}{49}\pi h'$

Make h' the subject

$h' = \frac{49}{9\pi h^2}V'$

When the water level is 3.5.

We have:

$h' = \frac{49}{9\pi * 3.5^2}V'$

Also, we have:

V' = 4.3

So, the equation becomes

$h' = \frac{49}{9\pi * 3.5^2} * 4.3$

Evaluate the products

$h' = \frac{210.7}{346.36}$

Evaluate the quotient

h' = 0.608

Hence, the water level increases by 0.608 meters per minute

Read more about volumes at:

brainly.com/question/10373132

#SPJ1

7 0

2 years ago

Find the value of x if 196^×=14

castortr0y [4]

Answer:

x = $\frac{1}{2}$

Step-by-step explanation:

Note that $\sqrt{196}$ = 14

Expressed in exponent form as

$196^{\frac{1}{2} }$ = 14, thus

x = $\frac{1}{2}$

7 0

3 years ago

What is the slope of the table x= 2, 0, -2, -4 y= 6, 1, -4, -9

Murrr4er [49]

Answer:

The slope of the table is $m=\frac{5}{2}$ or $m=2.5$

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the following ordered pairs

(2,6),(0,1),(-2,-4) and (-4,-9)

take two points

(2,6) and (-4,-9)

substitute in the formula

$m=\frac{-9-6}{-4-2}$

$m=\frac{-15}{-6}$

simplify

$m=\frac{5}{2}$

6 0

3 years ago

Jaden and his family are using a map to drive down to Napa Valley. On the map, the distance is given by the equation c = 1.3m, w

Kisachek [45]

Well if C=1.3m , we substitue 18 into M and get C=1.3(18)= 234

so 234cm

3 0

4 years ago

Read 2 more answers

I Reaally Need Help If You Wamt Ill Eve Go Over 100 Points

Pani-rosa [81]

(a) y = 2x + 3
(b) (1,5), (3,3); y = 3x + 3 5 = m1 + b, 3 = m3 + b
(c) coincident i believe, because it is not independent or inconsistent
(d) 2x + 3 = 3x + 3
(-2x)(-3) (-2x)(- 3)
0 = -2x
x = 0

hope this helps

5 0

3 years ago

Read 2 more answers

The prime factorization of a number is 2x2x3x7x7. Is the number a perfect square? how do you know ?​

The prime factorization of a number is 2x2x3x7x7. Is the number a perfect square? how do you know ?