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Elodia [21]
2 years ago
13

If z varies jointly as x and y and inversely as w^2?, and

Mathematics
1 answer:
viktelen [127]2 years ago
8 0

Answer:

Step-by-step explanation:

z = (k*x*y) / w²

Where,

k = constant of proportionality

z = 72 when x = 80, y = 30 and w = 5

z = (k*x*y) / w²

72 = (k * 80 * 30) / 5²

72 = 2400k / 25

Cross product

72 * 25 = 2400k

1800 = 2,400k

k = 2,400/1800

k = 24/18

= 4/3

k = 1 1/3

k = 1.33

find z when x = 20, y = 60 and w=9

z = (k*x*y) / w²

z = (1.33 * 20 * 60) / 9²

z = (1596) / 81

Cross product

81z = 1596

z = 1596/81

z = 19.703703703703

Approximately,

z = 19.7

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How many different 5​-letter radio station call letters can be made a. if the first letter must be Upper C comma Upper X comma U
Lady_Fox [76]

Answer:

a) 1,518,000

b) 2,284,880

c) 60,720

Step-by-step explanation:

a) a. if the first letter must be Upper C comma Upper X comma Upper T comma or Upper M and no letter may be​ repeated?

We draw 5 boxes, and based on that we will see the total possible cases. There are 26 alphabets

The first box should have C or X or T or M .No letter may be repeated.

Any                    Any             Any                 Any                    Any

5 alphabets    of the            of the              of the                 of the

C,X , T , M      remaining     remaining       remaining          remaining

                   25 alphabets   24 alphabets   23 alphabets   22 alphabets

Therefore; total possible call letters = 5 × 25 × 24 × 23 × 22 = 1,518,000

b)

The first box should have C or X or T or M Repeats as allowed

Any                    Any             Any                 Any                    Any

5 alphabets    of the            of the              of the                 of the

C,X , T , M      remaining     remaining       remaining          remaining

                   26 alphabets   26 alphabets   26 alphabets   26 alphabets

Therefore Total possible call letters = 5 × 26 × 26 × 26 × 26 = 2,284,880

c)   The first box should have   C,X , T , M  and end with S

So the last place if fixed, and we now have 25 alphabets. The first box can go in 5 ways. The next box then will have only 24 letters to choose from, as the first box has taken a letter and the last box already has S in it. Repetition not allowed

Any                    Any             Any                 Any                       S

5 alphabets    of the            of the              of the                  is fixed

C,X , T , M      remaining     remaining       remaining           here

                   24 alphabets   23 alphabets   22 alphabets  

Therefore Total possible call letters = 5 × 24 × 23 × 22  × 1 =  60,720

3 0
3 years ago
What is the solution for 4.2=c/8?
musickatia [10]
4.2 = <u>c
</u>         8
<u>
<em /></u><em>multiply both sides by 8
</em>
4.2* 8 = <u>8</u><u>c
</u>             8
<u>
</u> c = 33.6<u>
</u>
5 0
3 years ago
The smiths plan to recarpet their family room, which measures 15 ft. by 20 ft. how many square yards of carpet are needed? 30 33
BaLLatris [955]
15x20=300 
300 square feet is 33.33333333333333333333333333333333333 square yards (divide by 9)
the answer is 33
6 0
3 years ago
Read 2 more answers
Find the equation of the line in gradient form that passes through the points (3,0) and (-2,4)
Aleksandr-060686 [28]

Answer:

y = (-4/5)x + 12/5

Step-by-step explanation:

Slope = (4-0)/(-2-3) = 4/-5 = -4/5

y = (-4/5)x + c

When x = 3, y = 0

0 = (-4/5)(3) + c

c = 12/5

y = (-4/5)x + 12/5

5y = -x + 12

5y + x = 12

4 0
3 years ago
The sum of n and the sum of 8 and 6
kozerog [31]

Answer:

n + 14

I don't know if it's correct but i'm trying to help :)

3 0
3 years ago
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