Is the following inequality sometimes, always, or never true? 2(8x – 4)

anzhelika [568]

Answer:

(1.5,1)

Step-by-step explanation:

I don't know how to explain. I used GeoGebra and I put the coordinate down and then made lines. Line AC and line BD. Then I put a point on where it intersects and it comes out to (1.5,1). You can also use distance formula, but that is more work.

5 0

3 years ago

Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyrami

Igoryamba

Answer:

5 cubes

Step-by-step explanation:

The volume of a square pyramid is given in terms of its side length (s) and height (h) as ...

V = (1/3)s^2·h

For the given measurements, the volume is ...

V = (1/3)(9 cm)^2 ·(10 cm) = 270 cm^3

___

The volume of each cube of wax is the product of its length, width, and height, so is ...

V = (4 cm)^3 = 64 cm^3

___

Then the number of wax cubes required to fill the pyramid is ...

(270 cm^3)/(64 cm^3/cube) = 4 7/32 cubes

Four cubes are not quite enough to make the candle.

Devin will need 5 cubes to make the candle.

3 0

3 years ago

A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m. Based on past experience the company has determin

Gala2k [10]

Answer:

0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m.

We can consider 8 am = 0, and 8:30 am = 30, so $a = 0, b = 30$

Find the probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.

Between 15 and 25, so:

$P(15 \leq X \leq 25) = \frac{25 - 15}{30 - 0} = 0.3333$

0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.

8 0

3 years ago

(1−√(5))×(2−√(5)) <br><img src="https://tex.z-dn.net/?f=%281%20%2B%204%20%5Csqrt%7B10%7D%20%29%282%20-%20%20%5Csqrt%7B10%7D%20%2

Leviafan [203]

To simplify these expressions, you can either use a calculator (which I'm assuming your teacher doesn't want you to do) or FOIL (distribute).

The first one would be:

$(1- \sqrt{5}) (2- \sqrt{5}) \newline =(1)(2)+(1)(- \sqrt{5} )+(- \sqrt{5})(2)+(- \sqrt{5})(- \sqrt{5}) \newline =2- \sqrt{5}-2 \sqrt{5}+5 \newline =7-3 \sqrt{5}$

The second one would be:

$(1+4 \sqrt{10})( 2- \sqrt{10}) \newline =(1)(2)+(1)(- \sqrt{10})+(4 \sqrt{10} )(2) +(4 \sqrt{10})(- \sqrt{10}) \newline =2-\sqrt{10}+8 \sqrt{10} -40 \newline =-38+7 \sqrt{10}$

3 0

3 years ago

In a game, 20 small squares of paper are numbered 1 through 20. If Egan randomly selects 1 piece of paper, what is the probabili

garri49 [273]

Answer:

1/4

Step-by-step explanation:

Probability is essentially (# times a specific event occurs) / (# times any general event occurs).

Here, the "specific event" is selecting a multiple of four. The multiples of 4 from 1 to 20 are: 4, 8, 12, 16, and 20 - there are 5 of these. So, the number of times the specific event can occur is 5.

The "general event" is selecting any number out of the 20. Since there are 20 numbers, then there are 20 ways that a general event occurs.

So, the probability is 5/20 = 1/4.

3 0

4 years ago

Read 2 more answers

Is the following inequality sometimes, always, or never true? 2(8x – 4) – 2x ≤ 14x + 12