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NISA [10]
3 years ago
13

You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 18 children present in your va

n. how many different groups of 7 children can you drive?
Mathematics
1 answer:
yulyashka [42]3 years ago
3 0

The answer is 19,448 different groups, using the formula from permutation and combinations C (n, r) = (n!) / (r! (n-r)!) which calculates the number of times where r objects can be chosen from n object.

So,

C (17,7) = (17!) / (7! *(17-7)!)

C (17,7) = (17!) / (7! *10!)

C (17,7) = (17*16*15*14*13*12*11*10!) / (7! *10!) then eliminate 10!

C (17,7) = (17*16*15*14*13*12*11) / (7*6*5*4*3*2*1) = (98017920)(5040)

C (17,7) = 19,448 different groups

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Explorers on a planet with a thin atmosphere want to measure the acceleration of gravity at its surface. So they use a spring gu
Murljashka [212]

Answer:

The value of g_s is g_s=\frac{30}{21} \:\frac{m}{s^2}.

Step-by-step explanation:

We know that the position function is given by

s(t)=30t-\frac{g_s}{2} t^2

Velocity is defined as the rate of change of position. Therefore,

v(t)=\frac{d}{dt}(s(t))

So, the velocity function is

v(t)=\frac{d}{dt}(s(t))\\\\v(t)=\frac{d}{dt}(30t-\frac{g_s}{2} t^2)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(30t\right)-\frac{d}{dt}\left(\frac{g_s}{2}t^2\right)\\\\v(t)=30-g_st

When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,

v(t)=30-g_st=0\\\\g_s=\frac{30}{t}

We know that the ball bearing reaches its maximum height 21 seconds after being launched (t = 21 s).

So, the value of g_s is g_s=\frac{30}{21} \:\frac{m}{s^2}.

5 0
3 years ago
PLEASE HELP ME FAST!!!!!!
ra1l [238]

EDITED: Answer: Phillip can order 12 different ways of ice cream.

Step-by-step explanation:

Ahem.

He can only have Vanilla or Chocolate. So let's pet them in a separate Row.

<u>Vanilla </u>

  1. With Sprinkles
  2. With Almonds
  3. With Hot Fudge
  4. With Sprinkles and Almonds
  5. With Sprinkles and Hot Fudge
  6. With Almonds and Hot Fudge

<u>Chocolate</u>

1.With Sprinkles

2.With Almonds

3.With Hot Fudge

4.With Sprinkles and Almonds

5.With Sprinkles and Hot Fudge

6.With Almonds and Hot Fudge

4 0
2 years ago
The linear function f i with values f(-1) = 10 and f(5) = -1 is f(x)
zhenek [66]
Answer:

Use the two points to compute the slope, m, then use one of the points in the form <span>y=m<span>(x)</span>+b</span> to find the value of b.

Explanation:

The equation for the slope, m, of a line is:

<span>m=<span><span><span>y1</span>−<span>y0</span></span><span><span>x1</span>−<span>x0</span></span></span> [1]</span>

The equation <span><span>f<span>(2)</span></span>=−1</span> tells us that <span><span>x0</span>=2and<span>y0</span>=−1</span>; substitute this into equation [1]:

<span>m=<span><span><span>y1</span>−−1</span><span><span>x1</span>−2</span></span> [2]</span>

The equation <span><span>f<span>(5)</span></span>=4</span> tells us that <span><span>x1</span>=5and<span>y1</span>=4</span>; substitute this into equation [2]:

<span>m=<span><span>4−−1</span><span>5−2</span></span> [3]</span>

<span>m=<span>53</span></span>

Substitute <span>53</span> for m into the equation <span>y=m<span>(x)</span>+b</span>

<span>y=<span>53</span>x+b [4]</span>

Substitute 2 for x and -1 for y and the solve for b:

<span>−1=<span>53</span><span>(2)</span>+b</span>

<span>b=−<span>133</span></span>

Substitute <span>−<span>133</span></span> for b in equation [4]:

<span>y=<span>53</span>x−<span>133</span> [5]</span>

Check:

<span>−1=<span>53</span><span>(2)</span>−<span>133</span></span>
<span>4=<span>53</span><span>(5)</span>−<span>133</span></span>

<span>−1=−1</span>
<span>4=<span>4</span></span>

<span><span>
</span></span>

<span><span>Hope this helps </span></span>

3 0
3 years ago
I need answer. Please help me.​
Vanyuwa [196]

I think it’s positive. As it gets heavier, the cost has a positive slope, or increases. I’m not absolutely sure though

6 0
2 years ago
Read 2 more answers
The Panthers football team gains 15 yards on the first play of a football game, then it loses 15 yards on the second play.
lyudmila [28]

Answer: B

Step-by-step explanation: I feel like it's b but it is too easy

3 0
3 years ago
Read 2 more answers
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