The number of gallons of water in a leaking pool is determined by the rate that the water is filling, 6g^2 + 3g − 2, and the rate that water leaks from the pool, 7g^2 − 2g − 3, where g represents the number of gallons entering or leaving the pool per minute. Enter the expression for the net change in gallons per minute of the water in the pool. Find the change in the amount when the rate, g, is 5 gallons per minute.

The change in the amount of the water is given by .

At a rate of 5 gallons per minutes the change of the volume will be

gallon(s) per minute.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

a

step-by-step explanation:

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