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3 years ago

Can somebody tell me the answer to this please

Mathematics

2 answers:

AlexFokin [52]3 years ago

8 0

Answer: D

Step-by-step explanation: We first need to solve the inequality.

First subtract 10 from both sides to get -x < -8.

Now divide both sides by -1, but watch out.

If you multiply or divide both sides of an inequality by

a negative number, you must switch the direction of the inequality sign.

So we have x > 8.

Start with an open dot at 8 and draw and arrow to the right.

We use an option dot since x is greater than but not equal to 8.

So option D is your answer.

Fudgin [204]3 years ago

8 0

Answer:

The correct answer is D

Step-by-step explanation:

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Which of these best describes a pair of supplementary angles?

Yanka [14]

Answer:

c . Two angles whose sum is 180°

Step-by-step explanation:

Hope it helps you in your learning process

4 0

3 years ago

Tins of paint are filled at the rate of 2m3 per minute.

alex41 [277]

Answer:

160,000 tins

Step-by-step explanation:

To find the number of tins, divide the fill rate by the volume per tin.

(2·(1000 L)/min)×(60 min)/(1 h)/(0.75 L/tin) = 160,000 tin/h

160,000 tins of paint can be filled in 1 hour.

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Additional comment

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There are 60 minutes per hour. There are 1000 liters per cubic meter.

7 0

2 years ago

Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her universi

romanna [79]

Answer: The p-value is 0.154.

Step-by-step explanation:

Since we have given that

We claim that

Null hypothesis :

$H_0:\mu=20$

Alternate hypothesis :

$H_1:\mu$

Population mean = 20 hours

Sample mean = 18.5 hours

Sample standard deviation = 4.3 hours

Sample size n = 35

So, test statistic would be

$z=\dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\z=\dfrac{18.5-20}{\dfrac{4.3}{\sqrt{35}}}\\\\z=\dfrac{-1.5}{0.726}\\\\z=-2.066$

So, the p value would be 0.154.

Hence, the p-value is 0.154.

4 0

4 years ago

Which is the general form of the equation of the circle shown? x2 y2 4x – 2y – 4 = 0 x2 y2 4x – 2y 2 = 0 x2 y² – 4x 2y – 4 = 0 x

N76 [4]

The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

<h3>How to determine the circle equation?</h3>

The center of the circle is given as:

Center, (a,b) = (-4,9)

The diameter is given as:

d = 10

Calculate the radius (r)

r = 10/2 = 5

The circle equation is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x + 4)² + (y - 9)² = 5²

Expand

x² + 8x + 16 + y² - 18y + 81 = 25

Collect like terms

x² + y² + 8x - 18y + 16 + 81 - 25 = 0

Evaluate

x² + y² + 8x - 18y + 72 = 0

Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

Read more about circle equations at:

brainly.com/question/1559324

4 0

3 years ago

Evaluate the indicated limit algebraically. Change the form of the function where necessary. Please write clearly with descripti

alukav5142 [94]

Answer:

$\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3$

Step-by-step explanation:

We want to evaluate the limit:

$\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}$

To do so, we can divide everything by x². So:

$=\displaystyle \lim_{x\to \infty}\frac{3+4.5/x^2}{1-1.5/x^2}$

Now, we can apply direct substitution:

$\Rightarrow \displaystyle \frac{3+4.5/(\infty)^2}{1-1.5/(\infty)^2}$

Any constant value over infinity tends towards 0. Therefore:

$\displaystyle =\frac{3+0}{1+0}=\frac{3}{1}=3$

Hence:

$\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3$

Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3x², and in the denominator it is x². So:

$\displaystyle \Rightarrow \lim_{x\to\infty}\frac{3x^2}{x^2}$

Simplify:

$\displaystyle =\lim_{x\to\infty}3=3$

The limit of a constant is simply the constant.

We acquire the same answer.

6 0

3 years ago