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V125BC [204]
3 years ago
5

Rewrite the expression with the given base. 125^2x with a base of 5

Mathematics
1 answer:
bagirrra123 [75]3 years ago
6 0
We should know that
(a^{m} )^{n} =  a^{m*n}
125 = 5 * 5 * 5

so, the given <span>expression can be </span><span>rewritten as following </span>
125^{2x} = (5*5*5)^{2x}  =  ( 5^{3} )^{2x} =  5^{3*2x} =5^{6x}

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Find the inverse function for f(x)=sqrt2x-6 picture below
Olenka [21]

Answer:

y = (x^2 + 6) / 2

Step-by-step explanation:

Original function: \sqrt{2x - 6}

To find the inverse of a function we have to switch the x and y values and solve for y again

x = sqrt (2y-6)

To get rid of a square root we square the square root so:

x^2 = 2y-6

Add 6

x^2 + 6 = 2y

Divide by 2

y = (x^2 + 6) / 2

6 0
3 years ago
A bag contains 20 slips of paper Individually numbered. If a slip of paper and a letter in the word PENNSYLVANIA is chosen at ra
Soloha48 [4]

Answer:

P(M4\ n\ V) = 2.083\%

Step-by-step explanation:

Given

Paper = 20 slips

Word: PENNSYLVANIA

Required

Determine P(Multiple of 4 and V)

The sample size of the 20 slips is:

n(S) = 20

The outcomes of multiples of 4 is:

M4= \{4,8,12,16,20\}

n(M4) = 5

So, the probability of multiples of 4 is:

Pr(M4) = \frac{5}{20}

Pr(M4) = \frac{1}{4}

The sample size of PENNSYLVANIA is:

n(S) = 12

The outcome of V is:

n(V) = 1

So, the probability of V is:

P(V) = \frac{1}{12}

So, the required probability is: P(Multiple of 4 and V)

P(M4\ n\ V) = P(M4) * P(V)

P(M4\ n\ V) = \frac{1}{4} * \frac{1}{12}

P(M4\ n\ V) = \frac{1}{48}

P(M4\ n\ V) = 0.02083

Express as percentage

P(M4\ n\ V) = 0.02083 * 100\%

P(M4\ n\ V) = 2.083\%

4 0
3 years ago
A circular cone has volume 1200 cubic inches and radius 5 inches. What is the height of the cone, to the nearest tenth inch?
asambeis [7]

I multiply 1200 times 5 and yet 6000 because it says what is the height

3 0
2 years ago
What is the actual height of the building shown in the model?
julsineya [31]

Answer:

The actual height is 150ft

Step-by-step explanation:

Given

Width : Height = 2cm : 5cm

Actual\ width = 60ft

Required

Determine the actual height

Substitute 60ft for width in: Width : Height = 2cm : 5cm

60ft:Height =2cm:5cm

Express as fraction

\frac{60ft}{Height} =\frac{2cm}{5cm}

\frac{60ft}{Height} =\frac{2}{5}

Make height the subject

Height = \frac{5}{2} * 60ft

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7 0
3 years ago
Read 2 more answers
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Aliun [14]
How many tiles do they have?
36*24=864 If the amount of tiles they have is less than 864, subtract 864 by the amount of tiles.
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