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3 years ago

Explain why multiplying any number by-1 is equivalent to finding the additive inverse of that number

1 answer:

5 0

That would be because multiplying any number by a number with an absolute value of 1 gives you a number with the same absolute value (8 × 1 = 8, 56 × -1 = -56). Multiplying any number by a negative gives you the opposite sign of the number being multiplied by the negative (- × - = +, + × - = -). Therefore, multiplying a number by -1 gives you both an opposite sign and a number with the same absolute value that you started with.

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The diameter of a circle is 3 inches. What is the area?Give the exact answer in simplest form. _____ square inches. (pi, fractio

Step2247 [10]

The radius of a circle is half the diameter.

Thus, the radius (r) is >>>

$r=\frac{3}{2}$

The area of a circle is given by the formula,

$A=\pi r^2$

Where

r is the radius

Substituting the radius value into the area formula, we have:

$\begin{gathered} A=\pi r^2 \\ A=\pi(\frac{3}{2})^2 \\ A=\pi(\frac{9}{4}) \\ A=\frac{9\pi}{4} \end{gathered}$

5 0

1 year ago

A biologist is researching the population density of lizards near a boulder in a desert. The biologist

melamori03 [73]

Answer:

Step-by-step explanation:

Use .25 to represent the 1/4 of a mile.

Since it is a given radius around the boulder, we would treat it as such and find the area of the circle around the boulder.

To do this, you do .25² * 3.14

.0625 * 3.14 = .19625

15/.19625 = 76 and some change, but you need to round down to 76

Answer is 76.

3 0

4 years ago

Item 9<br> Write a linear function f with f(4)=−3 and f(0)=−2

Alina [70]

Answer:

y = -x/4 -2

Step-by-step explanation:

Linear function is in the form;

y = mx + b

The first point is (4,-3)

so we have;

-3 = 4x + b

The second point is (0,-2)

Thus;

-2 = 0(x) + b

b = -2

Put this in the equation above

-3 = 4x -2

-3 + 2 = 4x

4x = -1

x = -1/4

So the equation is;

y = -x/4 -2

3 0

3 years ago

Two standardized tests, a and b, use very different scales of scores. the formula upper a equals 40 times upper b plus 50a=40×

Romashka [77]

Answer:

(a) The mean score of test A is 1210.

(b) The mean score of test A is 1210.

(d) The value of Q₃ for test A is 1170.

(e) The value of median for test A is 1090.

(f) The value of IQR for test A is 290.

Step-by-step explanation:

The relation between two standardized tests <em>A</em> and <em>B</em> is:

$50A=40B+50$

The equation above approximates the relationship between scores on the two tests.

The summary statistics for test B are as follows:

Lowest Score = 21

Mean score = 29

Standard deviation = 2

Q₃ = 28

Median = 26

IQR = 6

(a)

Compute the lowest score on test A as follows:

$A=40B+50\\=(40\times21)+50\\=890$

Thus, the lowest score on test A is 890.

(b)

Compute the mean score of test A as follows:

<h2> $A=40B+50\\=(40\times29)+50\\=1210$ </h2>

Thus, the mean score of test A is 1210.

(c)

Compute the mean score standard deviation of test A as follows:

<h2> $A=40B+50\\=(40\times2)\\=80$ </h2>

Thus, the standard deviation of test A is 80.

(d)

Compute the value of Q₃ for test A as follows:

$A=40B+50\\=(40\times28)+50\\=1170$

Thus, the value of Q₃ for test A is 1170.

(e)

Compute the value of median for test A as follows:

$A=40B+50\\=(40\times26)+50\\=1090$

Thus, the value of median for test A is 1090.

(f)

Compute the value of IQR for test A as follows:

$A=40B+50\\=(40\times6)+50\\=290$

Thus, the value of IQR for test A is 290.

6 0

3 years ago

Is 40 a multiple or a factor

gladu [14]

Hey there!
It can be both. It's a multiple of 8 because 8 times 5 is 40, but it's also a factor of 120 because 80 times 3 is 120.
Hope this helps!

5 0

3 years ago