<img src="https://tex.z-dn.net/?f=%20-%202%284x%20%2B%203%29%20-%20%28x%20-%207%29%20%20%3D%2046" id="TexFormula1" title="

(1 gal, 2 qt, 3 pt) +
(1 gal, 3 qt, 7 pt) +
(1 gal, 3 qt, 3 pt)

= (3 gal, 8 qt, 13 pt)
= (3 gal, 14 qt, 1 pt)
= (6 gal, 2 qt, 1 pt)

The total volume of punch is 6 gallons, 2 quarts, 1 pint, or 6 5/8 gallons.

7 0

3 years ago

In ΔIJK, the measure of ∠K=90°, KJ = 63, IK = 16, and JI = 65. What ratio represents the sine of ∠I?

FinnZ [79.3K]

The sine of ∠I is represented by the ratio 63:65

5 0

3 years ago

Find, if it exists, a value c in the interval [1, 4] such that the instantaneous rate of change of f(x) = 12<img src="https://te

ella [17]

Answer:

c = 2.25

Step-by-step explanation:

f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.

The average slope is ...

m = (f(4) -f(1))/(4 -1) = (24 -12)/3 = 4

The point at which the derivative is 4 is ...

f'(c) = 6/√c = 4

√c = 6/4

c = 2.25

5 0

3 years ago

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