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saveliy_v [14]
2 years ago
5

Write 600 as a product of it's primse factors

Mathematics
1 answer:
givi [52]2 years ago
8 0

Answer:

2*2*2*3*5*5

or

2^3 *3* 5^2

Step-by-step explanation:

600  = 60*10

These are not prime so keep going, breaking 60 and 10 down

        = 6*10  * 5*2

6 and 10 are not prime so keep going ( 5 and 2 are prime)

    = 3*2  * 5*2  * 5*2

All of the numbers are prime, so we normally write them in order from smallest to largest

2*2*2*3*5*5

We can write with exponents

2^3 *3* 5^2

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A rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water. If 850 cu
makkiz [27]

The new height of the water is = 9.34 inches (approx)

Step-by-step explanation:

Given, a rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water.

Let the new height of water level be x inches.

The volume of the container = (20×16×12) cubic inches

                                               =3840  cubic inches

According to the problem,

3840 - (20×16×x) = 850

⇔3840 -320x = 850

⇔-320x =850-3840

⇔-320 x = -2990

\Leftrightarrow x =\frac{2990}{320}

⇔x = 9.34 inches

The new height of the water is = 9.34 inches (approx)

5 0
2 years ago
A box of oatmeal must contain 16 oz. The machine that fills the oatmeal boxes is set so that, on the average, a box contains 16.
Vadim26 [7]

Answer:

29. 15.87%

30.  4.75%

31. 0.62%

32. probability cannot be calculated (0%)

Step-by-step explanation:

We have that the formula of the normal distribution is:

z = (x - m) / sd

where x is the value we are going to evaluate, m is the mean and sd is the standard deviation

x = 16 and m = 16.5

when sd = 0.5

z = (16 - 16.5) /0.5

z = -1

Now when looking in the z table, we have that the corresponding value is 0.1587, that is, the probability is 15.87%

when sd = 0.3

z = (16 - 16.5) /0.3

z = -1.67

Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%

when sd = 0.2

z = (16 - 16.5) /0.2

z = -2.5

Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%

when sd = 0

z = (16 - 16.5) / 0

z = infinity

probability cannot be calculated

4 0
3 years ago
Describe the graph of the quadratic from the original y = x^2 .
Citrus2011 [14]

Answer:

a. Narrower

b. Shifts left

c. Opens up

d. Shifts up

Step-by-step explanation:

The original quadratic equation is y = x²

The given quadratic equation is y = 5·(x + 4)² + 7

The given quadratic equation is of the form, f(x) = a·(x - h)² + k

a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation

The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>

b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>

c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>

d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>

4 0
2 years ago
Tukar 88 peratus kepada pecahan yang termudah​
docker41 [41]

Answer:

kya hai mujhye kuchh samajh na aaraha

8 0
3 years ago
If 40% of a number is 56, what was the original number?
oksian1 [2.3K]
40/100= 56/x 40x=100(56) 40x=5600 Divide both sides by 40 to get x alone. X=140
7 0
2 years ago
Read 2 more answers
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