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Lady bird [3.3K]
2 years ago
10

The temperature is changing at a constant rate of –0.75ºC per half hour. At 6:45 PM, the temperature was –4.6ºC. At what time wa

s the temperature –2.1ºC? Be sure to include AM or PM in your answer.
Mathematics
1 answer:
Andrews [41]2 years ago
7 0

Answer:

5:05 PM

Step-by-step explanation:

Each 30 minutes, we have a change of -0.75

So in an hour , we will have a change of -0.75 * 2 = -1.5

since -2.1 is greater than -4.6, this indicates that it was a time before 6:45 PM

so, let us find the temperature drop

That would be;

-2.1-(-4.6) = -2.1 + 4.6 = 2.5

So let us find the number of half hours

That would be;

2.5/0.75 = 3 1/3 half hours

3 half hours is 90 minutes

1/3 half hour is 1/3 * 30 = 10 minutes

Total number of minutes is;

90 + 10 = 100 minutes

So let us count 100 minutes before 6:45 PM

120 minutes before would be;

4:45 PM

but we want 100 minutes, so we have to add 20 minutes

That would be;

4:45 PM + 20 minutes

= 4:65 which is 5 : 05 PM

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Each car on a computer train holds 20 people. On a particular morning, 5 cars were 90% full and 3 cars were 65% full. If the peo
madam [21]

Answer:

7 cars

Step-by-step explanation:

The computation of the number of cars to be filled is shown below:

A car that is 90% full and the total people is 20 so 90% would be

= (.90)(20)

= 18

A car that is 65% full and the total people is 20 so 65% would be

= (.65)(20)

= 13

Now

Total number of people = (5)(18) + (3)(13).

= 129

Now the number of cars to be filled is

= 129 ÷ 20

= 6.45

= 7 cars

7 0
3 years ago
For the graphed function f(x) = (4)x − 1 + 2, calculate the average rate of change from x = 1 to x = 2.
lorasvet [3.4K]

Average rate of the function: 3

Step-by-step explanation:

The function in this problem is

f(x)=4^{x-1}+2

The average rate of change of a function over an interval (x_1,x_2) is given by

r=\frac{f(x_2)-f(x_1)}{x_2-x_1}

where

f(x_1),f(x_2) are the values of the function calculated in x_1,x_2 respectively

For the function in this problem we have:

x_1=1, so

f(x_1)=f(1)=4^{1-1}+2=4^0+2=1+2=3

x_2=2, so

f(x_2)=f(2)=4^{2-1}+2=4^1+2=4+2=6

So, the average rate of change is

r=\frac{6-3}{2-1}=\frac{3}{1}=3

Learn more about rate of change:

brainly.com/question/4152194

brainly.com/question/12941985

#LearnwithBrainly

4 0
2 years ago
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
AURORKA [14]

Answer:

The answer is A. 755 m2; 815 m2

Step-by-step explanation:

The answer is A) 472m^2; 486 m^2.

Let a, b, and c be the sides of the base and h be the height of the prism

a = 2 m

b = 7 m

c = 7.28 m

h = 29 m

The lateral surface area is:

LA = a*h + b*h + c*h = h * (a + b + c)

LA = 29 * (2 + 7 + 7.28) = 29 * 16.28 ≈ 472 m²

The surface area is:

SA = LA + 2 * 1/2 * a * b

SA = 472 + 2 * 7 = 472 + 14 = 486 m²

3 0
3 years ago
Read 2 more answers
What is the answer to |-3 + 2| + |-2| + |-2 + (-1)|
vlada-n [284]
The answer is 9 I think
7 0
3 years ago
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A boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours. What is the rate of the current?
Gnom [1K]
With the current 40 miles per hour
Against the current 30 miles per hour
bv means boat velocity with NO current
cv means current velocity
A) bv + cv = 40 mph
B) bv - cv = 30 mph
Adding both equations:
2bv = 70
boat velocity with NO CURRENT = 35 miles per hour

Using equationA
bv + cv = 40
35 + cv = 40

current velocity = 5 miles per hour


8 0
3 years ago
Read 2 more answers
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