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olchik [2.2K]
3 years ago
5

A wind turbine at a wind farm generates 1.5 megawatts of power. The total power generated by all the turbines on the wind farm i

s 1.5x – 3, where x is the number of turbines. If the total power from all the turbines is 69 megawatts, which number from the set {45, 46, 47, 48, 49} is the correct value of x?
Mathematics
1 answer:
Ray Of Light [21]3 years ago
7 0
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A line passes through (-2, -3) and (4, -6) what is the slope of the line ?
MrRissso [65]
The slope,  or gradient, of the line is 6/-3 which is -2. The gradient is -2.
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3 years ago
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The number y of hits a new website receives each month can be modeled by y = 4070ekt, where t represents the number of months th
makvit [3.9K]

Answer:

<u><em>k = 0.2645</em></u>

Step-by-step explanation:

Given model:

y = 4070 e^{kt}

y = no. of hits website received = 9000 (in 3rd month)

t= no. of months website has been operational = 3

put in the above equation:

9000 = 4070  e^{3k}

\frac{9000}{4070} = e^{3k}

\frac{900}{407}=e^{3k}

<u><em>Taking natural logarithm on both sides, we get:</em></u>

ln\frac{900}{407}=ln(e^{3k})

ln\frac{900}{407}= 3k ln<em>e</em>

ln<em>e</em>=1

ln \frac{900}{407}= 3k

or k = \frac{1}{3}ln\frac{900}{(407)}

k =\frac{1}{3}(0.7936)

<em>k = 0.2645</em>

<em />

7 0
3 years ago
A farmers field is 32 feet on each side. How many square feet does she have to plow?
11111nata11111 [884]

Answer:

1024 sq. ft.

Step-by-step explanation:

Each side is 32 feet long, so you would have to multiply 32 by 32, assuming all the sides are the same length.

3 0
3 years ago
Find the radius, and the approximate circumference and area of the circle below. (Use 3 for \pi)
Marina CMI [18]

Answer:

Circ=37.704, Area= 112.112

Step-by-step explanation:

Circumference= pi *Diameter

Taking pi=3.142, Diameter=12

Circ=3.142*12=37.704

Area= pi * r^2

Area= 3.142*6*6=112.112

4 0
3 years ago
1/x + 3 = x +10/ x - 2
qwelly [4]

Answer:

(x+3)(x-2)= x - 2

x^2 + x - 6 = x - 2

x^2 - 6 = -2

x^2 - 4 = 0

x^2 = 4

x = 2, -2

7 0
3 years ago
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