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2 years ago

What’s The greatest common factor for 28 42 and 56

Mathematics

1 answer:

Aliun [14]2 years ago

7 0

Answer:

The answer is 14

Step-by-step explanation:

14x2=28

14x3=42 so the greatest common factor is 14

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Suppose that water is stored in a cylindrical tank of radius 5 m. if the height of the water in the tank is h, then the volume o

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2 years ago

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

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2 years ago

What is the sum of Triangle exterior angle sum with formula

pentagon [3]

Answer:

Exterior angle = sum of opposite interior angles

Step-by-step explanation:

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1 year ago

(x+3)^2+5=-28

Sidana [21]

Answer:

Description

Step-by-step explanation:

a. 2 solutions

b. 2 imaginary solutions

c. If the discriminant is positive, then it will have 2 real solutions as the square root of a positive number always equals a positive number. If the discriminant is negative, the quadratic equation will have 2 imaginary solutions, as the square root of a negative number is always imaginary. If the discriminant equals 0, it will have only 1 real solution.

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3 years ago

Determine whether the relation is a function (-4,12), (1,6), (4, -2), (7-8), (10,-14)

erastovalidia [21]

No,it is not a function.

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2 years ago

Read 2 more answers