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3 years ago

What cubed is the square root of one million?

Mathematics

1 answer:

Alex3 years ago

5 0

You are basically multiplying by itself three times like this picture right here

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Find the volume of the square pyramid below.

miv72 [106K]

Hello!

$\bf ANSWER$

The volume of the square pyramid is approximately $\boxed{ \bf 19.19~km^3}$

____________________________________________________________

$\bf EXPLANATION$

V = $a^{2}$ $\frac{h}{3}$

First, we must find the area of the square base.

A = l * w

A = 3.5 * 3.5

A = 12.25 km^2

The area of the base is 12.25 km^2. Now, multiply the base area by the perpendicular height. Then divide by 3.

V = (12.25 * 4.7) / 3

V = 19.1916666667

V ≈ 19.19 km^3

7 0

3 years ago

A rectangle's area is given by the expression 6n2-n+

Zolol [24]

Answer:

Length of rectangle: 2n - (1/3) + 9/(3n)

Width of rectangle = 3n

Rectangle area = A = 6 n^2 - n + 9

Step-by-step explanation:

Rectangle area = A = 6 n^2 - n + 9

test what the roots are: b^2 - 4ac = (-1)^2 - 4*6*9 < 0 no real roots

-215 < 0 discriminant

(6 n^2 - n + 9) / (3n) =

2n - (1/3) + 9/(3n)

If the area is divided by 3n, the quotient is 2n - (1/3) and the remainder is 9

8 0

3 years ago

From experience, it is known that on average 10% of welds performed by a particular welder are defective. if this welder is requ

bulgar [2K]

Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (success/failure)3. Probability is known and remains constant throughout the trials (p)4. All trials are random and independent of the othersThe number of successes, x, is then given by $P(x)=C(n,x)p^x(1-p)^{n-x}$ where $C(n,x)=\frac{n!}{x!(n-x)!}$
Here we're given
p=0.10 [ success = defective ]
n=3

(a) x=0
$P(x)=C(n,x)p^x(1-p)^{n-x}$
$=C(3,0)0.1^0(1-0.1)^{3-0}$
$=1(1)(0.729)$
$=0.729$

(b) x=2
$P(x)=C(n,x)p^x(1-p)^{n-x}$
$=C(3,2)0.1^2(1-0.1)^{3-2}$
$=3(0.01)(0.9)$
$=0.027$

(c) x ≥ 2
$P(x)=\sum_{x=2}^3C(n,x)p^x(1-p)^{n-x}$
$=P(2)+P(3)$
$=C(n,2)p^2(1-p)^{n-2}+C(n,3)p^3(1-p)^{n-3}$
$=C(3,2)0.1^2(1-0.1)^{3-2}+C(3,3)0.1^3(1-0.1)^{3-3}$
$=3(0.01)(0.9)+1(0.001)1$
$=0.027+0.001$
$=0.028$

8 0

3 years ago

Free fall reaches 216km per hour. What is rate in meters per second.? How many meters fall during 20 seconds free fall?

lakkis [162]

Given,

Rate of free fall = 216 km/h

Solution,

km/h to m/s is converted as follows :

$216\ \dfrac{km}{h}=216\times \dfrac{1000\ m}{3600\ s}\\\\=60\ m/s$

So, the rate of fall is 60 m/s.

If t = 20 s

Assume, initial velocity = 0

It will move under the action of gravity.

Using equation of motion,

$h=ut+\dfrac{1}{2}gt^2\\\\h=0+\dfrac{1}{2}\times 10\times 20^2\\\\h=2000\ m$

Hence, this is all for the solution.

4 0

3 years ago

Select all expressions that are equivalent to 64. 2 to the sixth power 2 to the eighth power 4 to the third power 8 squared 16 t

andreyandreev [35.5K]

Answer:

2 to the sixth, 4 to the third, 8 squared

Step-by-step explanation: 2*2*2*2*2*2=64 because you would have 2, 4,8,16,32,64

4*4*4=64 because you would have 4,16,64

8*8=64

3 0

3 years ago