You have that the scale factor is 8 and the length of the figure is 10 yards. Therefore, to solve this exercise, and calculate the length of the image, you must follow the proccedure below:
1. If the scale factor is 8, this means that lenght of the image is 8 times bigger.
2. Keeping this on mind, you only have to multiply 8 by 10 yards, as below:
Length of the image=8x10 yards
Length of the image=80 yards
3. Therefore, the answer is the option C:
C. 80 yd
Answer: x = 5 1/3
Step-by-step explanation:
subtract 2/3 from each side
x = 5 1/3
Answer:
The answer is 2400
Step-by-step explanation:
1l = 1000 mal
The y-intercept of linear function (f- g)(x) is (0,9)
<h3>How to determine the y-intercept?</h3>
The table of values is given as:
x -6 -4 -1 3 4
f(x) 15 11 5 -3 -5
g(x) -36 -26 -11 9 14
The equations of the functions is calculated using:

So, we have:

Evaluate
f(x) = -2x + 3
Also, we have:

Evaluate
g(x) = 5x - 6
Next, we calculate (f - g)(x) using:
(f - g)(x) = f(x) - g(x)
This gives
(f - g)(x) = -2x + 3 - 5x + 6
Substitute 0 for x
(f - g)(0) = -2(0) + 3 - 5(0) + 6
Evaluate
(f - g)(0) = 9
Hence, the y-intercept of (f- g)(x) is (0,9)
Read more about linear functions at:
brainly.com/question/24896196
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<span> half life i= 78 hours
amount after 78 hours is 395 kg:
395 = 790e^(k*78)
Dividing by 790 and taking natural log
ln (395/790) = (k*78)
-0.6931 = 78k
-0.00888 = k
lets calculate how much is left after 18 hours:
Amount(18)
= 790e^(-0.00888*18)
Amount = 673.301 kg
hope this helps</span>