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kolbaska11 [484]
3 years ago
12

Solve the formula K = 3M - 7 for M.

Mathematics
1 answer:
galben [10]3 years ago
8 0
Answer: M = (K + 7)/3
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A power line is to be constructed from a power station at point A to an island at point C, which is 1 mi directly out in the wat
navik [9.2K]

Answer:

<u>Given :</u>

length offshore = CS=√(1+X^2)

Cable charged = 5000√(1+X^2)

onshore length = 4-X

laying cost = 3000(4-X)

total cost:

C=5000√(1+X^2) +3000(4-X)

DC/DX

= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum

5000X=3000√(1+X^2)

25X^2=3+3X^2

22X^2=3

X=√(3/22)

= 0.3693 miles

So, it would be laid offshore to S in a manner that

BS=X=0.3693 miles

Onshore=4-0.3693

=3.6307 miles

7 0
3 years ago
Use the equation 3m + 65 = 18 to complete the table.
Alla [95]
The answer to these blanks are :
1. 6 (m)
2. 1 (s)
3. 0 (m)
4. 4 (s)
3 0
2 years ago
Compare the average rate of change for both functions over the interval [0,3].
Verizon [17]
So find g(0) and g(3)
G(0) = 0^2 -5(0) +3 = 3
And g(3) = 3^2 - 5(3) +3 = 9 - 15 + 3 = 3 so there is no change in g(x) for that interval.

H(0) = 8(0) + 10 = 10
And h(3) = 8(3) + 10 = 34
So the change in h(x) for that interval is 24.
5 0
2 years ago
At Pizzazz Pizza, the total price for 5
ira [324]

Answer:

The answer to your question is $9.5

Step-by-step explanation:

Data

Large pizza = L

Medium pizza = m

Write equation for both situations

Situation 1    5L + 2m = 81.5

Situation 2    4L + 3m = 78.5

Solve the system of equation by elimination

Multiply situation 1 by -3 and situation 2 by 2

                    -15L  - 6m = -244.5

                       8L + 6m =  157

                      -7L           = -87.5

Solve for L                  L = -87.5/-7

                                   L = $12.5

Substitute L in Situation 1 to find m

                     5(12.5) + 2m = 81.5

                       62.5 + 2m = 81.5

                                    2m = 81.5 - 62.5

                                    2m = 19

                                      m = 19/2

                                      m = $ 9.5

The prize of a medium pizza is $9.5

8 0
3 years ago
Please need it in 5 mins
Vilka [71]

Answer:

70,110,110,110

Step-by-step explanation:

I'm Asian and I was less than 5 minutes

4 0
3 years ago
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