Answer:
A) 48 in : initial height of the water
B) 40.5 in : height of the water after 5 days
C) 32 days
D) Yes, should be restricted.
Domain: 0 ≤ d ≤ 32
Step-by-step explanation:

A)

48 in is the initial height of the water
B)

40.5 in is the height of the water after 5 days
C) when the pool is empty, h = 0.
So set the equation to zero and solve for d.

D) Yes, the domain should be restricted because when d > 32, h < 0 and the height of the water in the pool cannot be negative
Domain: 0 ≤ d ≤ 32
The expression for the total number of miles he drove in the two weeks is m + 153
<h3>How to determine the expression for the total number of miles he drove in the two weeks?</h3>
The given parameters are
Last week = m miles
This week = 153 miles
The expression for the total number of miles he drove in the two weeks is
Expression = Last week + This week
This gives
Expression = m + 153
Hence, the expression for the total number of miles he drove in the two weeks is m + 153
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Answer:
angle y
58 + 38 + y = 180 (angle sum property)
96 + y = 180
y = 180 - 96
y = 84
angle x
x = 29 (58/2)
(angle subtended by an arc at centre is double the arc at any point on remaining part of centre)
the values of x = 29 and y = 84
Answer:
#1) D frequency data that can be plotted on a number line
; #2) A Sarah read twice as many chapters Wednesday as Monday, C Sarah read more than four chapters on two days, F Sarah read at least three chapters on four days, and H The total number of chapters Sarah read on the weekend was the same as the total number she read on the weekdays.
Step-by-step explanation:
#1) A line plot shows the frequencies of data. It is displayed over a number line; this makes the best choice for the answer "frequency data that can be plotted on a number line."
#2) We can see that Sarah read 2 chapters on Wednesday and 1 chapter on Monday. This is twice as many chapters.
She read more than 4 chapters on both Saturday and Sunday.
She read 3 or more chapters on Tuesday, Friday, Saturday and Sunday.
The total number of chapters she read on the weekend was 5+6 = 11. The total number of chapters she read on the weekdays was 1+3+2+2+3 = 11. These are the same.
The slope of that line is -1, so m = -1.
The point you were told to use is (-2,2), so point-slope form starts as:
( y - 2 ) = -1 • ( x - (-2) )
But we'd clean up that x-(-2) to be x+2.
y - 2 = -1 ( x+2 )