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Leno4ka [110]
2 years ago
5

For what values of x is the inequality 15≥ 5x true? a. x ≥3, b. x ≤ 3, c. x ≥ 1/3 or d. x≤ 1/3

Mathematics
2 answers:
Ann [662]2 years ago
8 0

Answer:

b

Step-by-step explanation:

15 ≥ 5x

Divide both sides by 5,

3 ≥ x

Rearranging the inequality,

x ≤ 3

eimsori [14]2 years ago
4 0

Answer:

b. x ≤ 3

Step-by-step explanation:

15 ≥ 5x

15 ÷ 5 ≥ x

3 ≥ x

x ≤ 3

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Find the rectangular coordinates of the point ( -3, 1/2 π)
alexdok [17]

Answer:

x = -3 cos (\frac{\pi}{2})= 0

y = -3 sin (\frac{\pi}{2})= -3

And then the rectangular coordinates for this case are :

(x = 0 , y = -3)

Step-by-step explanation:

We have the following point given P = (-3, \frac{\pi}{2}) and we want to conver from polar to rectangular coordinates and we need to use the following formulas:

x = r cos \theta

y = r sin \theta

For this case we have that:

r = -3

And:

\theta = \frac{\pi}{2}

Replacing we got:

x = -3 cos (\frac{\pi}{2})= 0

y = -3 sin (\frac{\pi}{2})= -3

And then the rectangular coordinates for this case are :

(x = 0 , y = -3)

4 0
3 years ago
Bobby describes two lines to Frank, telling him that beginning at point A, line #1 goes up 3 units and to the right 8 units, whi
rodikova [14]

When a line changes position from one point to another, the movement is referred to as transition.

<em>Bobby does not have enough information to make a valid conclusion.</em>

The movements of the lines are given as:

<em>Line 1: 3 units up and 8 units right</em>

<em>Line 2: 8 units down and 3 units right</em>

The given information only describes the movement of both lines, but does not give details about the initial relationship between the lines.

<em>Hence, no valid conclusion can be made with the given information.</em>

Read more about lines at:

brainly.com/question/5830373

8 0
3 years ago
Elly and Drew work together to collect data to estimate the percentage of their classmates who own a particular brand of shoe. U
ladessa [460]

Answer:

d. The width of Elly's interval will be less than the width of Drew's interval.

Step-by-step explanation:

The confidence level and the width of the confidence interval are direct proportional. This means that a confidence interval with a higher confidence level has a higher width.

For example, a 99 percent confidence interval is wider than a 90 percent confidence interval.

The midpoint of the confidence interval is the mean of the population, no matter the confidence level.

In this problem, we have that:

Elly: 90 percent CI

Drew: 99 percent CI

The correct answer is:

d. The width of Elly's interval will be less than the width of Drew's interval.

4 0
3 years ago
Can 12m, 35m and 37m make a right triangle
antoniya [11.8K]

Answer:

YES

Step-by-step explanation:

Explanation:

If this is a right triangle we can then substitute the sides of the triangle (12 and 35) and the hypotenuse (37) into the Pythagoras Theorem and the two sides of the equation will be equal. If this is not a right triangle the two sides of the equation will not be equal.

The Pythagoras Theorem is  

a

2

+

b

2

=

c

2

Substituting we get:

12

2

+

35

2

=

37

2

12

⋅

12

+

35

⋅

35

=

37

⋅

37

144

+

1225

=

1369

1369

=

1369

Because these are equal this is a right triangle.

3 0
2 years ago
Read 2 more answers
If the velocity of a bicycle is 10 m/s how long will it take to cover a distance of 18 km<br>​
Sergeeva-Olga [200]

Answer:

time taken=1800 seconds

Step-by-step explanation:

velocity=v=10m/s

distance=S=18km=18×10³m=18000m

t=?

as we know that

velocity=\frac{distance covered}{time taken}

velocity×time taken=distance covered

now here we have to find time

time taken=\frac{distance covered}{velocity}

time taken=\frac{18000m}{10m/s}

time taken=1800seconds

6 0
2 years ago
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