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katrin2010 [14]
3 years ago
5

The temperature was 78°F at 3 P.M. Each hour for

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Answer:

  66 °F

Step-by-step explanation:

At 4 P.M., the temperature had decreased by 3° from the temperature at 3 P.M., so was ...

  4 P.M. temp = 78 °F -3° = 75 °F

This was repeated until 7 P.M.

  5 P.M. temp = 75 °F -3° = 72 °F

  6 P.M. temp = 72 °F -3° = 69 °F

  7 P.M. temp = 69 °F -3° = 66 °F

The temperature at 7 P.M. was 66 °F.

__

Of course the repeated subtraction can be simplified using multiplication. The subtraction of 3° four times is equivalent to the subtraction of . . .

  (3°)(4) = 12°

That is, the temperature at 7 P.M. is ...

  78 °F -3°×4 = 78 °F -12° = 66 °F

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Determine which ordered pairs fall on the graph of f(x) = -2x-1 Show all of your work for each ordered pair. Ordered Pairs: (1,1
LiRa [457]

Answer:

(1, 1) is the only one on the graph

Step-by-step explanation:

To determine if an ordered pair lies on the graph, substitute the x-coordinate of the ordered pair into f(x) and evaluate. If the value equals the y-coordinate of the ordered pair then it lies on the graph

f(1) = (2 × 1) - 1 = 2 - 1 = 1 ⇒ (1, 1) lies on graph

f(- 1) = (2 × - 1) - 1 = - 2 - 1 = - 3 ≠ - 4 ⇔ (- 1, - 4 ) not on graph

f(- 2) = (2 × - 2) - 1 = - 4 - 1 = - 5 ≠ - \frac{1}{8} ⇒ (- 2, - \frac{1}{8}) not on graph

f(0) = (2 × 0) - 1 = 0 - 1 = - 1 ≠ \frac{1}{2} ⇒ not on graph


8 0
4 years ago
A survey found that the American family generates an average of 17.2 pounds of glass garbage trash each year. Assume the standar
SIZIF [17.4K]

Answer: 0.8137

Step-by-step explanation:

As per given , we have

\mu= 17.2\ ,\ \sigma=2.5

Sample size : n= 47

Let \overline{X} be the sample mean o.

Then, the probability that the mean of a sample of 47 families will be between 16.6 and 17.6 pounds will be :

P(16.6

=P(-1.645

[∵ z= \dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]

=P(z

=0.8636793-(1- 0.9500151)  [By using p-value calculator]

=0.8636793-0.0499849=0.8136944\approx0.8137

Hence, the probability that the mean of a sample of 47 families will be between 16.6 and 17.6 pounds= 0.8137

6 0
4 years ago
How many millimeters are in 1 meter
melisa1 [442]
The answer is 1000 millimeters in one meter
3 0
3 years ago
Interest earned: $294<br> Principal: $600<br> Interest rate: 7%<br> Time:
ICE Princess25 [194]

Answer: 7 years

Step-by-step explanation:

Given the formula for simple interest as

Principal × Rate × Time

To find Time is therefore 100 × Interest/ Principal x Rate

From the above question,

Principal is given as 600;

Interest is 294 and

Rate is 7%

Slot the values into the formula:

100 × 294/ 600 x 7

= 29400/4200

=7

Therefore, Time (T) is 7 years

I hope this is clear, please mark as brainliest

6 0
4 years ago
X2+5x+6,x2+x-6<br><br>please explain properly​
Ne4ueva [31]

Answer:

7x²+6x-6

Step-by-step explanation:

1 Combine similar terms

x²+5x+6x²+x-6

7x²+5x+x-6

2 Combine similar terms

7x²+5x+x-6

7x²+6x-6

5 0
3 years ago
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