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AVprozaik [17]
2 years ago
6

27=3 raised to power (2x_1)​

Mathematics
1 answer:
Ivahew [28]2 years ago
7 0

Answer:

x = 2

Step-by-step explanation:

27=3^{2x-1}\\\\3^{3}=3^{2x-1}\\

Bases are equal. So, compare powers

2x - 1 = 3

Add 1 to both sides,

2x = 3+1

2x = 4

Divide both sides by 2

x = 4/2

x = 2

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What is the slope of the line that passes through the points (0,5) (2,10)
Nadya [2.5K]

Answer:

m=5/2

Step-by-step explanation:

the equation of slope is (y2-y1)/(x2-x1)

here are the points given: (0,5), (2,10)

let's label the points:

x1=0

y1=5

x2=2

y2=10

now substitute into the equation (m is the slope)

m=(10-5)/(2-0)

subtract

m=5/2

the slope is 5/2

8 0
2 years ago
7x+42 what is x <br> please i need help
Taya2010 [7]

Answer:

x = 6

Step-by-step explanation:

7x = 42

Divide both sides by 7

x = 6

8 0
2 years ago
Read 2 more answers
Sam kicks a ball from the ground with an initial velocity of 48 feet per second. The ball soars into the air, arcs down with par
Novosadov [1.4K]

Answer:

the answer is most likely x=5squa4ed

3 0
3 years ago
Identify the slope and the y-intercept of the line with the given equation:<br> y = 7x-5
svetlana [45]

Answer:

Slope = 7

Y intercept = (0,-5)

7 0
3 years ago
Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water
galben [10]

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

         = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

7 0
3 years ago
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