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grandymaker [24]
3 years ago
15

The temperature is 45°F. The temperature will decrease by 2°F each hour. Let h be the number of hours.

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0
45 - 2t < 32 ( where t is time and you can replace it with x or h if you prefer)
Solving for t you get:
45 - 2t - 32 < 0
45 - 32 < 2t
13 < 2t
13/2 < t
Or the temperature will drop below 32F after 6 and a half hours
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lorasvet [3.4K]

Answer:

D

B

Step-by-step explanation:

1. x² - 5x = 14

x² -5x -14 = 0

x² +2x -7x -14 = 0

x(x + 2) -7(x + 2) = 0

x - 7 or x + 2 = 0

x = 7 or x = -2

2. y² + 6y + 9 = 49

y² + 6y +9 -49 = 0

y² +6y -40 = 0

y² +10y -4y -40 = 0

y(y + 10) -4(y + 10) = 0

y -4 or y + 10 = 0

y = 4 or y = -10

8 0
3 years ago
The equivalent ratios show how many teaspoons there are in 5 cups. What method can be used to convert 1 cup to teaspoons? multip
Rasek [7]

Answer: D. Divide 5 by 1,200

Step-by-step explanation:

I know the answer

3 0
3 years ago
Read 2 more answers
Let f(x)=3x and g(x)=x^2+5. Perform function operation g(x)/f(x). State the domain.
tangare [24]
We have that

<span>f(x)=3x
g(x)=x</span>²<span>+5
</span>g(x)/f(x)=[x²+5]/[3x]

<span>that new function will exist for all real numbers except the value of zero, value for which it becomes indefinite
</span>
the domain is the interval (-∞,0) U (0,∞)

using a graph tool
see the attached figure

3 0
3 years ago
Help T-T plz (14 points)
olganol [36]

Answer:

The answer is 10.5 or 10 1/2

Step-by-step explanation:

1) A=LxW

2) the height is given but you do not have the width So Divide.

3) first turn the fraction into decimals

H= 12 1/4= 12.25

A= 128 5/8= 128.625

4) 128.625 divided by 12.25 Give you 10.5

5) you can change 10.5 into a fraction 10 1/2

hopes this helps.

8 0
3 years ago
Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n= 8 trials, each with
alina1380 [7]

Answer:

0.80589

Step-by-step explanation:

So all of the numbers of correct answers less than 4 are 0,1,2,3

We need to calculate the probability for each separately and then add them together.

To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.

The combination formula is: ! / (!(−)!)

So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.

For 0;

The combination is 1,

1 x 0.3^0 x 0.7^8-0 =

0.057648

For 1;

The combination is 8,

8 x 0.3^1 x 0.7^8-1 =

0.19765

For 2;

The combination is 28

28 x 0.3^2 x 0.7^8-2 =

0.296475

For 3;

The combination is 56

56 x 0.3^3 x 0.7^8-3 =

0.254122

All that’s left is to add these four numbers;

0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589

4 0
3 years ago
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