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polet [3.4K]
3 years ago
8

How many different committees can be formed from 11 teachers and 49 students if the committee consists of 2 teachers and 4 stude

nts?
Mathematics
1 answer:
olganol [36]3 years ago
8 0
The number of combinations is the product of the number of choices for each selection...

c=11*10*49*48*47*46=559,352,640
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An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the
DedPeter [7]

<em><u>The inequality can be used to find the interval of time taken by the object to reach the height  greater than 300 feet above the ground is:</u></em>

d = -16t^2 + 1000

<em><u>Solution:</u></em>

<em><u>The object falls, its distance, d, above the ground after t seconds, is given by the  formula:</u></em>

d = -16t^2 + 1000

To find the time interval in which the object is at a height greater than 300 ft

Frame a inequality,

-16t^2 + 1000 > 300

Solve the inequality

Subtract 1000 from both sides

-16t^2 + 1000 - 1000 > 300 - 1000\\\\-16t^2 > -700

16t^2 < 700\\\\Divide\ both\ sides\ by\ 16\\\\t^2 < \frac{700}{16}\\\\Take\ square\ root\ on\ both\ sides\\\\t < \sqrt{\frac{700}{16}}\\\\t < \pm 6.61

Time cannot be negative

Therefore,

t < 6.61

And the inequality used  is: -16t^2 + 1000>300

6 0
3 years ago
3. Triangle JKL is shown below. Which of the following is not a true statement about
alina1380 [7]

Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.

We can solve for x for the other 3 options by setting up this equation:

7x+2 + 4x+7 + 8x = 180 | Simplify

19x + 9 = 180 | Subtract 9

19x = 171 | Divide by 19
x=9

Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
<K = 8x = 72


Looking at the options again, we can see that A, B, and D are true, leaving C to be false.

4 0
2 years ago
The perimeter of a rectangle must be no greater than 62 meters. The width must be 12
GREYUIT [131]

Answer:

xinloitoikogiaiduoc

Step-by-step explanti

6 0
2 years ago
Which number represents a temperature below zero? –4° F 0° F 4° F 6° F
makkiz [27]
The anwser is the first one you put , -4 is below zero
8 0
3 years ago
Read 2 more answers
Polygon q is a scaled copy of polygon p using a scale factor of 1/2 polygon q’s area is what fraction of polygon p’s area?
san4es73 [151]

Answer:

Polygon q’s area is one fourth of polygon p’s area

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> polygon q’s area

y-----> polygon p’s area

so

z^{2} =\frac{x}{y}

In this problem we have

z=\frac{1}{2}

substitute

(\frac{1}{2})^{2} =\frac{x}{y}

(\frac{1}{4}) =\frac{x}{y}

x=\frac{1}{4}y

therefore

Polygon q’s area is one fourth of polygon p’s area

3 0
3 years ago
Read 2 more answers
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