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zloy xaker [14]
3 years ago
10

Solve the compound inequality. n-12<=-3 or 2n>26

Mathematics
1 answer:
Bond [772]3 years ago
3 0

Answer:

\large\boxed{n\leq9\ or\ n>13\to n\in\left(-\infty;\ 9\right]\ \cup\ (13,\ \infty)\to\{x\ |\ x\leq9\ or\ x>13\}}

Step-by-step explanation:

n-12\leq-3\ or\ 2n>26\\\\n-12\leq-3\qquad\text{add 12 to both sides}\\n\leq9\\\\2n>26\qquad\text{divide both sides by 2}\\n>13\\\\n\leq9\ or\ n>13\to n\in\left(-\infty;\ 9\right]\ \cup\ (13,\ \infty)\to\{x\ |\ x\leq9\ or\ x>13\}

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Sixteen more than twice a number,m, is 36. write an equation and solve to find the number.
Dimas [21]
32m=36
m=36/32
m=9/8
that's the correct answer
3 0
3 years ago
One winter morning the temperature was -2 C. By 11:00 am the temperature hd decreased by 3 degrees. At 4:00 pm reached 0 degrees
Temka [501]

Answer:

The temperature rose by 5 degrees celcius between 11 am and 4 pm

Step-by-step explanation:

Here in this question, we want to find the integer which represents the temperature change from 11 am to 4 pm.

Initially, in the morning, the temperature was -2 . By 11, it had decreased by 3 degrees. What this means is that the temperature went down further by 3 degrees.

Mathematically, the temperature at 11 will be -2-3 = -5 degrees celcius

Now at 4 pm, the temperature went from -5 to 0 degrees.

The temperature change between 11 am and 4 pm will be; 0-(-5) = 0 + 5 = 5 degrees celcius

This means that the temperature rose by 5 degrees celcius between 11 am and 4 pm

7 0
3 years ago
An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

Read more about Maximizing Volume at; brainly.com/question/1869299

#SPJ1

4 0
1 year ago
Please Show Work.
Y_Kistochka [10]

Answer:

The answer is 144°

Step-by-step explanation:

180 - 36 = 144

5 0
3 years ago
Read 2 more answers
Given the following winning percentages of the teams in a league (for a single year) compute the within-season standard deviatio
Masja [62]

Answer:

(b) 0.251

Step-by-step explanation:

1. Standard deviation equation:

SD=\sqrt{\frac{\sum\limits^N_i {(x_{i}-X)^{2}  } }{N} }

Where X is the mean of the data, and N the amount of data. Then, N=5

2. Estimate the Mean:

X=\frac{0.750+0.750+0.200+0.600+0.200}{5}=\frac{2.5}{5}=0.5\\

3. Caclulate Standard deviation:

SD=\sqrt{\frac{{(0.750-0.500)^{2}+(0.750-0.500)^{2}+(0.200-0.500)^{2}+(0.600-0.500)^{2}+(0.200-0.500)^{2}  } }{5} }

SD=\sqrt{\frac{0.315}{5} }=\sqrt{0.063}\\SD=0.251

7 0
3 years ago
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