Answer:
Please check explanations
Step-by-step explanation:
Here, we want to make an interpretation
From the question, we have that initially when the count was started, there were 5,428 people; this means that the initial value of the data is 5,428
For the rate of change, we have that there is an average increase of 142 people for each of 5 years;
That means per 5 years, there is an increase of 142 people and this is what represents the rate of change
Answer:
Area = 64 cm²
Step-by-step explanation:
To find the area, we have to follow some steps:
=> <u>Step 1: Make the bases similar:</u>
Since we have 2 bases given 6 and 10 we have to come up with a third base by finding their average:
(6 + 10) / 2
(16) / 2
8
So now that we know our base,
=><u> Our second step is to multiply the base we found by the height of the trapezoid:</u>
Area = common base * height
Area = 8 * 8
Area = 64 cm²
Hope this helps!
Answer:
76.25°
Step-by-step explanation:
The solution to the differential equation is an exponential curve with a horizontal asymptote at Tm. It passes through (0, 145) and (30, 95), so the equation can be written as ...
T = 80 +65((95-65)/(145-65))^(t/30)
T = 80 +65(3/8)^(t/30)
That is, the temperature difference is reduced to 3/8 of its original value in 30 minutes.
Since the coffee in cup B cools twice as fast, it will cool to the same temperature (95°) in 15 minutes. In the next 15 minutes, the temperature difference will be reduced to (3/8)^2 of the original 80°, so will be 11.25°. That is, the temperature of cup B will be ...
11.25° +65° = 76.25°
after 30 minutes.
Answer:
10 pounds of potatoes would cost $15.
Step-by-step explanation:
Set up proportion.
4/6=10/x
simplify 4/6 into 2/3,
2/3=10/x
cross product,
2*x=3*10
2x=30
x=30/2
x=15
Answer:
a. 72 inches
b. 21.3 inches
Step-by-step explanation:
12:27
a. 32 inches in height
32/x = 12/27
Set these fractions equal to each other
32= 12
12 times 2.6(repeating decimal) equals 32
So to find the width do 2.666... time 27 and you get 72 inches.
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b. 48 inches in width
Again set the fractions equal to each other.
x/48 = 12/27
48 divided by 27 equals 1.77777....
To get height, do 1.77777.... times 12 and you get 21.3333333
But since it is to the nearest tenth, you get 21.3 inches
Hope that helps!
