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aivan3 [116]
3 years ago
9

Jade says that the absolute value of a number and the opposite of a number is the same thing. Is Jade correct? Use examples to h

elp you explain.
Mathematics
1 answer:
avanturin [10]3 years ago
8 0

Answer:

No, the absolute value of a number is different from the opposite.

Step-by-step explanation:

For example, the absolute value of 4 is 4.

l4l = 4

But the opposite of 4 is -4.

Absolute value is ALWAYS positive, but the opposite of a positive number is a negative number.

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HURRY I NEED HELP!!!!!!!!!!!!! A circle is drawn within a square as shown.
Anton [14]
The width of the square is 7 cm. This is also the diameter of the circle.

To find the area of the square, you do 7², which is 49 cm². 

To find the area of a circle, you do πr².

The radius is half the diameter, so it's 7 ÷ 2, which is 3.5 cm.

π3.5² ≈ 38.4845100065 cm².

The shaded region is the area of the square minus the area of the circle.  

49 - 38.4845100065 = <span>10.5154899935, but because you're using 3.14 to approximate pi, the closest answer is 10.54 cm</span>².

The answer is 10.54 cm².
3 0
3 years ago
Read 2 more answers
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bo
Furkat [3]

Answer: B

Step-by-step explanation:

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. Since the machines are identical and running at the same constant rate, it means each of them as the same rate. The rate of each machine can produce would be determined by dividing the combined unit rate by 6. It becomes

270/6 = 45 bottles per minutes

The rate for 10 machines running at the same constant rate would be

10 × 45 = 450 bottles per minutes.

If the 10 machines produce 450 bottles per minutes, then,

In 4 minutes, the 10 machines will produce 4 × 450 = 1800 bottles

4 0
3 years ago
A rectangular auditorium seats 1702 people. The number of seats in each row exceeds the number of rows by 9. Find the number of
klemol [59]

We have been given that a rectangular auditorium seats 1702 people. Also, the number of seats in each row exceeds the number of rows by 9.

Let us assume that there are x rows in the auditorium. Therefore, there must be (x+9) seats in the each row. This will also be equal to the number of columns in the auditorium.

Therefore, we can set up an equation as:

x(x+9)=1702\\x^{2}+9x=1702\\x^{2}+9x-1702=0

We can now factor this quadratic as shown below:

x^{2}+9x-1702=0\\(x-37)(x+46)=0

Upon solving this equation, we get:

x=-46,37

Since number of rows cannot be negative. Therefore, there must be 37 rows in the auditorium. And hence, the number of seats in each row will be 37+9=46 seats.



8 0
3 years ago
3. 2(x − 3) <br><br> A) 2 <br> B) −4 <br> C) 2x − 6 <br> D) 2x − 4 4)
den301095 [7]

Answer:

C

Step-by-step explanation:

multiply by 2 to be 2x-6

5 0
3 years ago
Read 2 more answers
Which of the following choices is the standard deviation of the sample shown
lana66690 [7]

Answer:  E. square root of 2

We can write that in shorthand as sqrt(2)

sqrt(2) = 1.41421 approximately

======================================================

Explanation:

Step 1)

Add up the values to get 18+19+20+21+22 = 100

Divide by n = 5, since there are 5 items in the list. So 100/n = 100/5 = 20

The sample mean is xbar = 20

--------------

Step 2)

Subtract the mean from each data value

  • 18 - xbar = 18 - 20 = -2
  • 19 - xbar = 19 - 20 = -1
  • 20 - xbar = 20 - 20 = 0
  • 21 - xbar = 21 - 20 = 1
  • 22 - xbar = 22 - 20 = 2

The results we get are: -2, -1, 0, 1, 2

---------------

Step 3)

Square the results from the previous step

  • (-2)^2 = 4
  • (-1)^2 = 1
  • (0)^2 = 0
  • (1)^2 = 1
  • (2)^2 = 4

The results here are: 4, 1, 0, 1, 4

---------------

Step 4)

Add up those squares from the previous step: 4+1+0+1+4 = 10

Now divide by n = 5 to get 10/n = 10/5 = 2

The result 2 represents the population variance. Applying the square root to the population variance leads to the population standard deviation. So we end up with the final answer of sqrt(2). The answer is choice E.

sqrt(2) = 1.41421 approximately

---------------

Note: if you want the sample standard deviation, then you divide by n-1 = 5-1 = 4, but the other steps are the same as before.

7 0
3 years ago
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