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ivolga24 [154]
2 years ago
5

The temperature at midnight is shown. The outside temperature decreases 2.3 C over the next two hours. What is the outside tempe

rature at 2 A.M. ?

Mathematics
1 answer:
Arlecino [84]2 years ago
3 0

Answer:

Outside temperature at 2 A.M = -33.2°C

Step-by-step explanation:

Given:

Temperature at 12:00 midnight (outside) = -30.9°C

Rate of decreases = - 2.3°C per two hour

Find:

Outside temperature at 2 A.M

Computation:

Outside temperature at 2 A.M = Temperature at 12:00 midnight (outside) + Rate of decreases

Outside temperature at 2 A.M = -30.9°C + (- 2.3°C)

Outside temperature at 2 A.M = -33.2°C

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(iii) Find the smallest whole number h such that<br>4704/h<br>is a cube number.<br>​
yan [13]

Answer:

h=588

Step-by-step explanation:

Given the fraction \dfrac{4,704}{h}

Consider its numerator and factor it:

4,704=2^5\cdot 3\cdot 7^2

You cann not take the cube root from 3, 7^2, 2^5, you can only take the cube root from 2^3, then the smallest whole number h such that \dfrac{4,704}{h} is a cube number is

h=2^2\cdot 3\cdot 7^2=4\cdot 3\cdot 49=588

When h=588,

\dfrac{4,704}{588}=8=2^3

6 0
2 years ago
The following data show the midterm and final exam scores in an English writing class. Student 1 2 3 4 5 6 7 8 9 10 11 12 Midter
tester [92]

Answer:

The co variance of the midterm and final exam scores is 58.76.

Step-by-step explanation:

The formula to compute the sample co variance is:

Cov(x,y)=\frac{\sum(X-Mean\ of\ X)(Y-Mean\ of\ Y)}{n-1}

The values are computed in the table below.

Compute the co variance as follows:

Cov(x,y)=\frac{\sum(X-Mean\ of\ X)(Y-Mean\ of\ Y)}{n-1}\\=\frac{646.33}{12-1}\\ =58.76

Thus, the co variance of the midterm and final exam scores is 58.76.

7 0
2 years ago
Which equation represents a proportional relationship that has a constant of proportionality equal to –10? y = x minus 10 y = x/
kicyunya [14]

Answer:

y=-10x

Step-by-step explanation:

y=-10x

y/x=-10

6 0
2 years ago
Mary has some boxes that are all cubes of the same size she uses 5 of the boxes to make a tower with a height of 115 cm she puts
liberstina [14]

Answer:

161 centimeters

Step-by-step explanation:

To find the total height, we need to find the wait of each individual box. Since we have five boxes stacked up on each other with a height of 115, we can divide 115 by 5 to get 23. Now that we know that each box is 23 centimeters tall, we can multiply that by 2 because 2 more boxes were added, and then add that to 115.

115/5=23

23*2=46

46+115=161

Hope this helps!


5 0
2 years ago
Read 2 more answers
PLEASE HELP!! Which steps can be used to solve 6/7x+1/2=7/8 for x? Check all that apply. A. Divide both sides of the equation by
Anon25 [30]

Answer:

B. first step

6/7x=7/8-1/2

c. second step

6/7x=7/8-4/8=3/8

d. and e are the same

x=3/8x7/6

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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