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Hitman42 [59]
3 years ago
7

The sum of a number and 19 is at least 8 using inequalities

Mathematics
2 answers:
LenKa [72]3 years ago
5 0
N+19>=8. :)Have fun with your homework ;)
ICE Princess25 [194]3 years ago
4 0
N+19 >= 8
since their is no greater than or equal sign i did that^ hope u understand
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How many kilobytes are in in 1 terabyte if a terabyte is 2^40 and kilobyte is 2^10
Tresset [83]

Answer:

There are 2^{30} kilobytes in a Terabyte

Step-by-step explanation:

If one Terabyte is 2^{40} bytes and one kilobyte is 2^{10} bytes, then, by simple quotient we can find how many kilobytes are in one Terabyte:

\frac{2^{40}}{2^{10}} = 2^{30}

Notice that in the numerator we have 40 factors of "2", while in the denominator we have 10 factors of "2". So we can cancel just 10 common in denominator and numerator and end up with 30 factors of "2" left in the numerator.

On can also use the "properties of exponents" to simplify exponents with the same base.

8 0
3 years ago
For each ordered pair, determine whether it is a solution to the system of equations.
andreyandreev [35.5K]

Answer:

(-6, 2) NO

(3, 5) NO

(-3, - 4) YES

(2, 9) NO

3 0
3 years ago
Kyle felt a draft of cold air. He measured a gap in a nearby window and found that it was 7/16 inches wide. Which decimal is equ
Alexus [3.1K]

0.4375.

You can simply divide 7 by 16 using long division or a calculator to get this answer.

3 0
4 years ago
There are 40 people at a party. The ratio of men to women is 3:2. How many men and women r there at the party?? Plz help me!!
IrinaK [193]
The answer is 24 men and 16 women
3 0
3 years ago
For the circle whose diameter has endpoints of (-3, 6) and (5, -2), write the equation in standard form.
dsp73

Answer:

B

Step-by-step explanation:

We are given a circle whose diameter has endpoints (-3, 6) and (5, -2).

And we want to equation of the circle in standard form.

First, let's determine the center of the circle. Since we are given the diameter, the center will be the midpoint of the diameter. The midpoint is given by:

\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_1}{2}\Big)

By substitution:

\displaystyle M=\Big(\frac{(-3)+(5)}{2},\frac{(6)+(-2)}{2}\Big)

Evaluate:

\displaystyle M=(1, 2)

Thus, the center of our circle is (1, 2).

Next, we need to find the radius of our circle. We can use the distance formula to find the diameter, and then divide that by two to find the radius. The distance formula is given by:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Let (-3, 6) be (x₁, y₁) and (5, -2) be (x₂, y₂). Substitute:

d=\sqrt{(-3-5)^2+(6-(-2))^2}

Evaluate:

\begin{aligned} d&= \sqrt{(-8)^2+(8)^2}\\&=\sqrt{64+64}\\&=\sqrt{2(64)}\\&=8\sqrt{2}}\end{aligned}

Therefore, the radius will be:

\displaystyle r=\frac{8\sqrt{2}}{2}=4\sqrt{2}

The equation for a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (h, k) is the center.

By substituting everything in, we acquire:

(x-(1))^2+(y-(2))^2=(4\sqrt{2})^2

Simplify:

(x-1)^2+(y-2)^2=32

Therefore, our answer is B.

7 0
3 years ago
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