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Vitek1552 [10]
3 years ago
14

Find the exact solution to the equation. 7-log2(x+5) = 6

Mathematics
1 answer:
Sindrei [870]3 years ago
5 0

Answer:

x = -3

Step-by-step explanation:

You can try the answers to see which works. Or, you can actually solve the equation for x.

... 7 - log2(x+5) = 6

... 1 - log2(x+5) = 0 . . . . subtract 6

... 1 = log2(x+5) . . . . . . . add log2(x+5)

... 2 = x +5 . . . . . . . . . . . take the antilog

... -3 = x . . . . . . . . . . . . . subtract 5

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The change in the volume of water in 1 minute is a decrease of 0.16 milliliters.

Since a water tank in Stewart's home had a small, steady leak loss of 1 3/5 mL in 10 min, to find the change in the volume of water in 1 minute, the following calculation must be performed:

  • The total leak must be calculated and divided by the 10 minutes duration.  
  • 3/5 = 0.6
  • 1 + 0.6 = 1.6
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Consider the figure below. Line FG is parallel to line JK.
Svet_ta [14]

Answer:

A. a = 10

B. m<FNT = 120°

C. m<KTU = 60°

Step-by-step explanation:

A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:

(7a + 50)° = (14a - 20)°

Use this equation to find the value of a

7a + 50 = 14a - 20

Combine like terms

7a - 14a = - 50 - 20

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Divide both sides by -7

-7a/-7 = -70/-7

a = 10

B. m<FNT = (14a - 20)° (alternate interior angles are congruent)

Plug in the value of a

m<FNT = 14(10) - 20

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C. m<KTU + (14a - 20)° = 180° (linear pair)

Plug in the value of a

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