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4 years ago

Question 4: Rewrite the following without an exponent. (5/8)^−1

Mathematics

1 answer:

LUCKY_DIMON [66]4 years ago

7 0

A^-1 = 1/a^2

(5/8) ^ -1 = 1 / (5/8)^2 or 1 / (25/64)

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1+4x/6=3.5<br> What is x

bagirrra123 [75]

Answer:

x=3+3/4

Step-by-step explanation:

1+4x/6=3.5

We move all terms to the left:

1+4x/6-(3.5)=0

We add all the numbers together, and all the variables

4x/6-2.5=0

We multiply all the terms by the denominator

4x-(2.5)*6=0

We add all the numbers together, and all the variables

4x-15=0

We move all terms containing x to the left, all other terms to the right

4x=15

x=15/4

x=3+3/4

3 0

3 years ago

Jensen is building a snow fort. Each block in the fort weighs about 1 kilogram. Jensen hopes to make about 40 blocks for the for

babymother [125]

Answer: 13,333 snowflakes

Step-by-step explanation:

For this exercise let be "x" represents the number of snowflakes that will be in the fort.

According to the information given in the exercise, the weight of one block is 1 kilogram. Knowing that the fort must have 40 blocks, the total weight is:

$total\ weight=(1\ g)(40)\\\\total\ weight=40\ g$

Since each snowflake weighs $3* 10^{-3}$ grams, need to divide the total weight calculated above by the weight of a snowfake.

Therefore, through this procedure you get the following result:

$x=\frac{40\ grams}{3 * 10 ^{-3}\ grams}\\\\x\approx13,333$

Therefore, the there will be 13,333 snowflakes in the fort.

5 0

3 years ago

During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high

frutty [35]

Answer: 0.8015

Step-by-step explanation:

Let F= event that a person has flu

H= event that person has a high temperature.

As per given,

P(F) =0.35

Then P(F')= 1- 0.35= 0.65 [Total probability= 1]

P(H | F) = 0.90

P(H|F') = 0.12

By Bayes theorem, we have

$P(F|H)=\dfrac{P(F)\timesP(H|F)}{P(F)\timesP(H|F)+P(F')\timesP(H|F')}\\\\=\dfrac{0.35\times0.90}{0.35\times0.90+0.65\times0.12}\\\\=\dfrac{0.315}{0.315+0.078}\approx0.8015$

Required probability = 0.8015

8 0

3 years ago

Find the surface area of the

Brums [2.3K]

Answer:

169 sq cm

Step-by-step explanation:

6 0

3 years ago

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 60x −

bonufazy [111]

R(x) = 60x - 0.2x^2

The revenue is maximum when the derivative of R(x) = 0.
dR(x)/dx = 60 - 0.4x = 0
0.4x = 60
x = 60/0.4 = 150

Therefore, maximum revenue is 60(150) - 0.2(150)^2 = 9000 - 4500 = $4,500
Maximum revenue is $4,500 and the number of units is 150 units

7 0

3 years ago

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