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m_a_m_a [10]
3 years ago
13

An astronaut drops a rock into a crater on the moon. The distance, d(t), in meters, the rock travels after t seconds can be mode

led by d(t)=0.8t^2. What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?
Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0

Plug in 5 and 10 to the equation.

For the first one would be d(5) = 0.8(5)^2

Multiply the equation d(5) = 4^2

Then you just multiply the exponent the would be d(5) = 10

The second one, you just do the same thing and the answer would be d(10) = 64

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For which values of P and Q does the following equation have infinitely many solutions? Px-37=Qx-37
Lyrx [107]

Answer:

The equation has infinitely many solutions for any value of P and Q such that P=Q.

Step-by-step explanation:

Px - 37 = Qx - 37

Px - Qx - 37 = -37

x (P-Q) = 0

==> P-Q=0 ==> P=Q


4 0
3 years ago
Determine whether the study depicts an observational study or an experiment.
USPshnik [31]

Answer:

Option c

Step-by-step explanation:

The study is an observational study. An observational study is made when the researchers collect data based on what they see, hear or observe without any form of manipulation or treatment plan from the researchers. Thus, in this case, the study is an observational study because the study examines individuals in a sample, but does not try to influence the response variable/influence their responses.

6 0
2 years ago
-8 x+3=-29 what is x?
kykrilka [37]

Answer:

x=4

Step-by-step explanation:

To solve for x, use inverse operations:

-8x+3 = -29               Subtract 3 from both sides

-8x +3 -3 = -29 -3

-8x = -32                    Divide both sides by -8

x = 4

3 0
3 years ago
Quadrilateral QRST is a square. If the measure of angle RQT is 3x - 6. Find the value of x.
trapecia [35]

Given that quadrilateral QRST is a square.

Each angle of a square is of 90 degrees.

Angle <RQT is also an angle of 90 degrees.

We also given angle RQT = 3x - 6.

So, we can setup an equation as 3x-6 =90.

Now, we need to solve the equation for x.

6 is being subtracted from left side.

We always apply reverse operation. Reverse operation of subtraction is addition.

So, adding 6 on both sides of the equation, we get

3x-6+6 =90+6.

3x = 96.

3 is being multipied with x, in order to remove that 3, we need to apply reverse operation of multiplication.

So, dividing both sides by 3.

\frac{3x}{3} = \frac{96}{3}

x=32 (final answer).

3 0
3 years ago
Please help! Question above
frez [133]

Answer:

It's the first one. (m  + n - 1) sqrt p

Step-by-step explanation:

We can combine m sqrt p and n sqrt p, resulting in m + n, and combine - sqrt p to become (m + n - 1)sqrt p

3 0
3 years ago
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