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Alecsey [184]
2 years ago
11

Tell whether the given value is a solution of the inequality. (yes or no) -2 ≤ k/3; k = -9

Mathematics
1 answer:
olga55 [171]2 years ago
4 0

Answer:  No, it is not a solution

Work Shown:

-2 ≤ k/3

-2 ≤ -9/3

-2 ≤ -3

The last inequality is false because -3 should be smaller than -2 (not the other way around). Use a number line to help see this.

Since the last inequality is false, the original inequality must also be false for that particular k value. Therefore, k = -9 is not a solution.

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Answer:

B

Step-by-step explanation:

B has a slope of 7 while A has a slope of 6.

slope of B 14-7/2-1 = 7

A slope is y= mx+b and m is the slope. so 6.

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Betty has 427 oranges and needs to pack them up equally in 23 boxes. How
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3 years ago
B Christian installed an electric pump to pump water from a borehole into a 30 000 litre cement dam. If the water is pumped at a
skelet666 [1.2K]

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

<h3>How long does it take to fill the dam?</h3>

Given that;

  • Amount of water needed to fill the dam A = 30000 litres
  • Pump rate r = 75 litres per minute
  • Time needed to fill the dam T = ?

To determine how long it take to fill the dam, we say;

Time need = Amount of water needed ÷ Pump rate

T = A ÷ r

T = 30000 litres ÷ 75 litres/minute

T = 400 minutes

Note that; 60min = 1hrs

Hence,

T = 6hours 40minutes

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

Learn more word problems here: brainly.com/question/2610134

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8 0
3 years ago
The amount of kerosene, in thousands of liters, in a tank at the beginning of any day is a random amount Y from which a random a
Tems11 [23]

Find the marginal density for Y by integrating the joint PDF over all possible values of x:

f_Y(y)=\displaystyle\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx=\int_0^y2\,\mathrm dx

\implies f_Y(y)=\begin{cases}2y&\text{for }0

Then the density of X conditioned on Y is

f_{X|Y}(x\mid y)=\dfrac{f_{X,Y}(x,y)}{f_Y(y)}=\frac1y

for 0 and undefined elsewhere.

Thus

P(0.25

= = =

I'm not seeing the TeX rendering on any of my browsers. Maybe it's a site-wide issue? In any case, I'm attaching a picture of the text above in case it's incomprehensible.

5 0
4 years ago
What is sin45°*sin30°*cos60°
NNADVOKAT [17]

Answer:

\frac{\sqrt{2} }{8}

Step-by-step explanation:

Using the exact values of the given trig functions, then

sin45° × sin30° × cos60°

= \frac{\sqrt{2} }{2} × \frac{1}{2} × \frac{1}{2} = \frac{\sqrt{2} }{8}

6 0
3 years ago
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