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Crazy boy [7]
4 years ago
7

How many possible outcomes, including both main effects and interaction effects, are possible for a factorial design with three

independent variables?
Mathematics
1 answer:
KIM [24]4 years ago
7 0
Your answer will be <span>8</span>
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A ball is shot straight up from the top of a 15-story building. The motion of the ball could be described by the function: h(t)=
viktelen [127]

Answer:

  • After 4 seconds the height is 480 meters.
  • The maximum height is 484 meters.
  • The ball hits the ground after 10 seconds

Step-by-step explanation:

The height after four seconds is h(4) = -16 * r² + 144*4+160 = 480

The maximum height of the ball is the value it takes at its vertex 'v = -b/2a'. In this case a = -16 and b = 144, so the v = -144/-32 = 4.5. The maximum height of the ball as a result is h(4.5) = -16 (4.5)² + 144*4.5 + 160 = 484

To find the moment the ball hits the ground, we need to find when h takes the value 0 by using the quadratic formula, with a = -16, b = 144 and c = 160.

r_1,r_2 = \frac{-144 \, ^+_- \sqrt{144^2-4*(-16)*160}}{2*(-16)} = \frac{-144 \, ^+_- \sqrt{30976}}{-32} = \frac{-144 \, ^+_- 176}{-32} = -1, 10

Since t cant take negative values, then the correct value is 10. The ball hits the ground after 10 seconds.

7 0
3 years ago
Compute: (1 2/5 +3.5÷1 1/4 )÷2 2/5 +3.4÷2 1 /8 −0.35
nikdorinn [45]

Answer:

Answer: 3

Step-by-step explanation:

Use BODMAS

<u>Step 1: Open bracket (1 2/5 +3.5÷1 1/4 )</u>

<em>Convert mixed fractions into improper fractions</em>

7/5 + 3.5 ÷ 5/4

<em>Divide 3.5 by 5/4</em>

7/5 + 2.8 = 4.2

<u>Step 2: Carry out all divisions</u>

<em>Convert mixed fraction into improper fractions</em>

4.2 ÷2 2/5 +3.4÷2 1 /8 −0.35

4.2 ÷ 12/5 + 3.4 ÷ 17/8 - 0.35

1.75 + 1.6 - 0.35

<u>Step 3: Solve</u>

1.75 + 1.6 - 0.35

3.35 - 0.35

Answer = 3

4 0
3 years ago
Transformation example
leonid [27]

Answer:

Rotation, Reflection, Dilation.

Step-by-step explanation:

4 0
2 years ago
Plz hurry 15 points
finlep [7]

Answer:

9

Step-by-step explanation:

3^3 is 27 so

27·27/3^4

3^4 is 81 so

27·27/81

27·27 is 729 so

729/81

729÷81 is 9

5 0
3 years ago
Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number
mojhsa [17]

Answer:

I think that it would be -40

Step-by-step explanation:

I think this because they had to go back 40 spaces because 8 x 5 = 40.

7 0
4 years ago
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