33s^5t^4u^8 ÷ 11st^3u^8

E varies directly with the square root of C. If E=40 when C=25, find: C when E = 10.4

sukhopar [10]

Answer: C = 1.69

Step-by-step explanation:

E is proportional to √C

To remove proportionality, introduce a constant (k).

E = k × √C

From question,

E = 40 and C = 25

So,

40 = k ×√25

40 = k × 5

k = 8

Now,

C = ?

E = 10.4

k = 8

E = k × √C

10.4 = 8 × √C

10.4 / 8 = √C

( 10.4 / 8 ) ^ 2 = C

C = 1.69

6 0

2 years ago

Read 2 more answers

Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total em

Paraphin [41]

we know that

$Total\ employment\ compensation=gross\ pay+employee\ benefits-job\ expenses$

in this problem

$Total\ employment\ compensation=33,500\ dollars$

$gross\ pay=28,600\ dollars$

$job\ expenses=0$

Step $1$

Find the total employee benefits

Let

EC------> total employment compensation

EB--------> total employee benefits

GP------> gross pay

JE------> job expenses

$EC=GP+EB-JE$

$33,500=28,600+EB-0\\ EB=33,500-28,600\\ EB=4,900\ dollars$

Step $2$

Find the percentage of the total employee benefits

we know that

total employee benefits is equal to $4,900\ dollars$

gross pay is equal to $28,600\ dollars$

by proportion

$\frac{28,600}{4,900} =\frac{100}{x} \\ \\ x*28,600=100*4,900\\ \\ x=\frac{100*4,900}{28,600}$

$x=17.1$ %

therefore

the answer is the option

d. 17.1

5 0

2 years ago

Read 2 more answers

Angelina factored (x - 4)8 and wrote that it was equal to (x2 - 42)2(x2 + 42). Use complete sentences to explain how you could c

lapo4ka [179]

There are several ways to confirm that the two expressions are equal. One method is to simply factor the first expression and see it you get a result equal to the second expression. An easier method is to set a value for x and substitute it to the two expressions. If the resulting value is that same, this means that the two expressions are equal.

3 0

2 years ago

Josh used a standard deck of 52 cards to conduct an experiment. Half of the cards in the deck were red. The other half were blac

geniusboy [140]

Answer: C. He used too few trials for the sample space.

Step-by-step explanation:

Given: Josh used a standard deck of 52 cards to conduct an experiment.

As half of the cards in the deck were red.

If we take sample space= 52 cards

Then probability of getting a red card $=\frac{1}{2}$