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kykrilka [37]
3 years ago
7

The sum of two numbers is −102. One number is 62 less than the other. Find the numbers.

Mathematics
1 answer:
Allisa [31]3 years ago
3 0

Answer:

x = -20

y = -62

Step-by-step explanation:

Suppose x and y two number and such that :

  • their sum = -102
  • and y is 62 less than x

Which means :

  • x + y = -102
  • x - y = 62

then

  • x + y = -102
  • x = y + 62

then

x + y = (y+62) + y = -102

then

2y + 62 = -102

then

2y = -164

then

y = -164/2 = -82

therefore

x = y + 62 = -82 + 62 = -20

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levacccp [35]

Answer:

1) 0, 180

2) 90

3) 3pi/2

4) pi/2, -3pi/2

5) 90, 270

6) 0

7) pi

8) -2pi, 0, 2pi

Step-by-step explanation:

1) sinx = 0

x = 0, 180, 360

2) sinx = 1

x = 90

3) sinx = -1

x = 270 or 3pi/2

4) sinx = 1

x = pi/2, pi/2 - 2pi = -3pi/2

5) cosx = 0

x = 90, 360

6) cosx = 1

x = 0, 360

7) cosx = -1

x = pi

8) cosx = 1

-2pi, 0 , 2pi

Sketches attached for more reference.

Also, remember 180° is pi radians

5 0
3 years ago
After extensive measurements of the time necessary to complete the first homework assignment, a teacher determines that there is
MaRussiya [10]

Answer: -1.55

Step-by-step explanation:

Given : Mean : \mu=100

Standard deviation : \sigma=20

Sample size : n=60

Sample mean : \overline{x}=96

The test statistic for the population mean is given by :-

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

\Rightarrow\ z=\dfrac{96-100}{\dfrac{20}{\sqrt{60}}}=-1.54919333848\approx-1.55

Hence, the value of z statistic = -1.55

4 0
3 years ago
Fun park charges an entry fee of $2 for any family with less than 5 members. The park charges $3 less than the number of family
RideAnS [48]

A piecewise function is a function that behaves differently in different intervals.

Here the piecewise function is:

f(x) = $2     if    x < 5  

f(x) = x - $3  if   x ≥ 5

We know that:

"Fun park charges an entry fee of $2 for any family with less than 5 members."

"The park charges $3 less than the number of family members for the entry of any family with 5 or more members."

If we define x as the number of members of a family, the function of the price will be:

f(x) = $2     if    x < 5 (the cost is $2 if the family has less than members)

f(x) = x - $3  if   x ≥ 5   (the cost if the family has 5 members or more)

If you want to learn more, you can read:

brainly.com/question/12561612

3 0
3 years ago
HELP ASAP!!!! EXPLAIN
Amanda [17]

Answer:

i think the answer is 50

Step-by-step explanation:

6 0
3 years ago
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Rate of change for 71, 62,53,44
Vladimir79 [104]

Answer:-9

Step-by-step explanation:

71-62=9

62-53=9

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It is negative because the numbers are decreasing

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