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Semenov [28]
4 years ago
8

Giving 15 points! Need ASAP. Thank You.

Mathematics
1 answer:
IceJOKER [234]4 years ago
5 0
11.

Just look at the graph, and you will see that an original inequality is:

x \leq 1

Multiply both sides by 5:

5x \leq 5

Add 6 to both sides:

5x+6  \leq 11

And you will get an equivalent inequality to x \leq 1.

12.

Just look at the graph, and you will see that an original inequality is:

p\ \textgreater \ 2

Multiply both sides by 5:

5p\ \textgreater \ 10

Add 4 to both sides:

5p+4\ \textgreater \ 14

And you will get an equivalent inequality to p\ \textgreater \ 2.
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Mariana [72]
An hour is 60 mins long. 30 mins is half of it. If we take 12 miles in an hour, divide it by 2, it will be 6 miles in 30 mins, and if we take 8 miles, divide it by 2, it would be 4 miles in 30 mins. Since the questions telling us how far apart are north cyclists, we’re adding 6 and 4 to get 10 miles. In conclusion, both cyclists are 10 miles apart. I might be wrong, but that’s the best I can do.
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3 years ago
What is the simplified form of the quantity of x plus 8, all over the quantity of 3x plus 7 + the quantity of x plus 7, all over
Temka [501]
\frac{x+8}{3x+7} + \frac{x+7}{x+4}  \\ = \frac{(x+8)(x+4)+(x+7)(3x+7)}{(3x+7)(x+4)}  \\ = \frac{ x^{2} +12x+32+3 x^{2} +28x+49}{3 x^{2} +19x+28}  \\ = \frac{4 x^{2} +40x+81}{3 x^{2} +19x+28}
6 0
4 years ago
Read 2 more answers
Which of the following lengths can not be the lengths of the sides of a triangle? A.) 4,6,9 B.) 3,4,2 C.) 2,2,3 D.) 1,1,2
lord [1]

Answer:

D

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

4 + 6 > 9

Yes, these lengths can form a triangle.

3 + 4 > 2

Yes, these lengths can form a triangle.

2 + 2 > 3

Yes, these lengths can form a triangle.

1 + 1 = 2

No, these lengths cannot form a triangle.

8 0
3 years ago
Read 2 more answers
90 degrees in decimal
KiRa [710]

Answer:

1.57079633 rad

Step-by-step explanation:

my computer wont let me explain.

5 0
3 years ago
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An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation of all
lakkis [162]

Answer:

n=(\frac{0.539(2.2)}{0.3})^2 =15.62 \approx 16

So the answer for this case would be n=16 rounded up to the nearest integer

Step-by-step explanation:

For this case we have the following info given:

\sigma = 2.2 represent the population deviation

Confidence =0.8

ME = 0.3 represent the margin of error desired

The margin of error for the true mean is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The confidence level is 80%, the significance would be \alpha=0.2 and \alpha/2 =0.1 the critical value for this case is z_{\alpha/2}=0.539, replacing into formula (b) we got:

n=(\frac{0.539(2.2)}{0.3})^2 =15.62 \approx 16

So the answer for this case would be n=16 rounded up to the nearest integer

5 0
3 years ago
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