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2 years ago

Factor the expression completely. 3x + 24

Mathematics

1 answer:

Umnica [9.8K]2 years ago

3 0

Answer:

3(x+8)

Step-by-step explanation:

In order to factor the expression completely, you need to find the greatest common factor of both numbers, which would be 3 because 3 fits in both numbers without leading to weird decimals or fractions.

3(x+8) is the answer.

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Vanessa throws a tennis ball in the air. the function h(t) = -16t2 + 45t + 7 represents the distance, in feet, that the ball is

antiseptic1488 [7]

Given that height, h(t) of a tennis ball is modeled by the equation h(t)=<span>-16t^2 + 45t + 7, the time taken for the ball to reach maximum height will found as follows:
at maximum height:
h'(t)=0
but from the equation:
h'(t)=-32t+45=0
solving for t we get
t=45/32
t=1.40625~1.4 seconds
Thus the time taken to reach maximum height is 1.4 seconds

</span>

4 0

3 years ago

Which expression shows a way to find 50% of 632

Ilya [14]

Answer:

Well 50% of 632 is 316 but i need to see the expressions to be sure

Step-by-step explanation:

3 0

2 years ago

What has no congruent sides and no congruent angles?

Mademuasel [1]

Hey there!

The correct answer to your question is a circle.

A circle doesn't have any congruent sides or congruent angles, meaning they don't have sides or angles that point in the same direction.

Hope this helps you.
Have a great day!

3 0

2 years ago

Read 2 more answers

The ratio of games won at to the games lost for a basketball team is 3:2. The team won 18 games. How many games did the team los

schepotkina [342]

A ratio of 3:2.

The easiest way to go about this is to divide the actual number of wins (18) by its corresponding element in the ratio.

So:

$\frac{18}{3}= 6$

This means every element on the ratio has a value of 6.

The amount of element in the ratio that correspond to losses is 2.

Multiply the actual amount of matches per element in the ratio by the number of elements that represents the losses in the ratio.

$6*2=12$

Your answer:

<em>"The team lost 12 games."</em>

7 0

2 years ago

In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes

ale4655 [162]

Answer:

The sample mean is $\bar{x}=14.371$ min.

The sample standard deviation is $\sigma = 18.889$ min.

Step-by-step explanation:

We have the following data set:

$\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}$

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

$\bar{x} = \frac{{\sum}x}{n}$

where, $n$ is the number of values in the data set.

$\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371$

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }$

The mean of a sample is $\bar{x}=14.371$ .

Create the below table.

Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 6422.0982$

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} } = \sqrt{ \frac{ 6422.0982 }{ 19 - 1} } \approx 18.889$

7 0

2 years ago