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il63 [147K]
2 years ago
15

Forty eight feet equals how many yards?

Mathematics
1 answer:
Ainat [17]2 years ago
8 0

Answer: 16yards

Step-by-step explanation:

48feet equals how many yards

Remember

1yard equals 3feet

Let the unknown yard be x

1yard equals 3feet

xyard equals 48feet

Cross multiply

3×X=48×1

X=48/3

X=16

Therefore

16yards equals 48feet

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha
Xelga [282]

Answer:

The average value of f over the interval [-2,5] is \frac{10}{7}.

Step-by-step explanation:

Let suppose that function f is continuous and integrable in the given intervals, by integral definition of average we have that:

\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6 (1)

\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20 (2)

By Fundamental Theorems of Calculus we expand both expressions:

\frac{F(3)-F(-2)}{3-(-2)} = -6

F(3) - F(-2) = -30 (1b)

\frac{F(5)-F(3)}{5-3} = 20

F(5) - F(3) = 40 (2b)

We obtain the average value of f over the interval [-2, 5] by algebraic handling:

F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)

F(5) - F(-2) = 10

\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}

\bar f = \frac{10}{7}

The average value of f over the interval [-2,5] is \frac{10}{7}.

4 0
2 years ago
Which statement best explains the relationship between numbers divisible by 9
AVprozaik [17]

Answer:

Step-by-step explanation:

A number divisible by 9 is also divisible by 3  because 3 is a factor of 9.

4 0
3 years ago
What is 130% converted into a decimal?
Free_Kalibri [48]
Move the percent two places to the left 1.30
8 0
3 years ago
A company has installed new machinery that will produce a savings rate (in thousands of dollars per year) of S'(x) = 225-x^2, wh
Kipish [7]

Answer:

After 15 years the use of said machine is no longer profitable

Step-by-step explanation:

it should be used, as long as the money generated is not smaller as the costs generated. By setting both formulas equal (calculating the x value for when they are equal) you get x = 15 and x = -2.5(which doesnt make sense in this context).

3 0
2 years ago
Can somebody help me find y
Alex777 [14]

Answer:

y=-\frac{5x+9z}{7}, y=x-y+z=3, y=-8x+y=12

3 0
3 years ago
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