9. post test forces and montion James gently releases a ball at the top of a slope, but does not push the ball. The ball rolls down the slope. Which force caused the ball to move downhill? A. applied force B. drag force C. friction force D. gravitational force E. normal force science

The midpoint of a given line segment must lie on the given line segment is True.

What is midpoint?

 A midpoint is a location that sits in the middle of the line connecting two points and is situated between them. If a line is drawn connecting the two points, the midpoint is the place on the line that is equally distant from both points. A point B that is situated halfway between two other points, such as A and C, is said to be the midpoint. Because of this, finding the midway only requires measuring the length of the line segment and dividing it by 2.

Here the given statement is,

=> The midpoint of a given line segment must lie on the given line segment.

Here according to the given statement we know that the midpoint of the any line lies on the given line.

Hence the given statement is True.

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7/15 rows are left after crows ate some rows.

Total no. of rows he planted = 1 2/3

                                               = 1 + 2/3

                                               = (3 + 2)/3

                                               = 5/3

No. of rows crows ate = 1 1/5

                                     = 1 + 1/5

                                     = (5 + 1)/5

                                     = 6/5

No. of rows left = 5/3 - 6/5

                         = (25 - 18)/15

                         = 7/15

Hence, no. of rows left is 7/15.

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Answer:

There are 7.3152 meters in 24 feet.

Step-by-step explanation:

1 foot = 0.3048, so...

0.3048 x 24 = 7.3152 meters = 24 feet.

Answer:

THERES MUCH INFORMATION EXCLUDED!

Step-by-step explanation:

She travels 7 miles per 25 hours

If the total distance travelled was 500 miles and the time it took you was 5 hours, then your average speed was 500 / 5 = 100 miles per hour (mph).

BASED ON MY OWN CALCULATIONS:

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Answer:

y=-10-7

Step-by-step explanation:

3=-10(-1)+5/4

3=10+5/4

3=11 1/4

11 1/4-3=8 1/4

5/4-33/4=-28/4=-7

3=-10(-1)-7

3=10-7

3=3

Answer:

y=-10x-7

Step-by-step explanation:

3=-10(-1)+5/4

3=10+5/4

3=11 1/4

11 1/4-3=8 1/4

5/4-33/4=-28/4=-7

3=-10(-1)-7

3=10-7

3=3

Answer:

The Horizontal Asymptote is the point (0, a).

The Horizontal Asymptote is the line =

= 0.

Step-by-step explanation:

The following statements are true regarding f(x) = aᵇ:

The Domain of the exponential functions is All Real Numbers.

The Horizontal Asymptote is the line y = 0.

The Range of the exponential functions is f(x) > 0.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

The horizontal asymptote is the horizontal line that the graph of the function approaches as x approaches infinity or negative infinity. In this case, the horizontal asymptote is the line y = 0, which means that as x gets very large, the value of f(x) approaches 0.

The domain of the function is the set of all values of x that can be plugged into the function. For exponential functions, the domain is all real numbers because any real number can be raised to any power.

The range of the function is the set of all possible output values that the function can produce. For exponential functions, the range is f(x) > 0, which means that the function can produce any positive real number as output.

The following conclusions about  f(x) = aᵇ are correct:

All Real Numbers are the domain of exponential functions.

The line y = 0 is the Horizontal Asymptote.

The exponential functions have a range of f(x) > 0.

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Answer:$16

$6 + $2(t)

Step-by-step explanation:

$6 + $2(5)

Audrey is driving to a concert and needs to pay for parking. There is an automatic fee of $6 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Audrey have to pay for parking if she left her car in the lot for 5 hours? How much would Audrey have to pay if she left her car in the lot for tt hours?

Cost of parking for 5 hours:

Cost of parking for tt hours:

Answer:

10 units

Step-by-step explanation:

The distance formula is as follows:

D =  √[(x2 - x1)^2 + (y2 - y1)^2]

=      √[(-2 - 4)^2 + (-3 - 5)^2]

= √(-6)2 + (-8)2

= √100

= 10

Answer:

10 Units

Step-by-step explanation:

Distance (d) = √(-2 - 4)2 + (-3 - 5)2

= √(-6)2 + (-8)2

= √100

= 10

Hope this helps! :)

Answer:

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3+7x2 

Group 2:  4x-12 

Pull out from each group separately :

Group 1:   (x+7) • (x2)

Group 2:   (x-3) • (4)

Answer:

from the drop down menu the answers are:

x-1

x+2

x+6

Answer:

88%

Step-by-step explanation:

in this equation ox is your answer.

Answer:

y=4x

Step-by-step explanation:

y2-y1/x2-x1

8-4/2-1

4/1

4 is the slope

We can find the intercept by finding when x is equal to zero by continuing the order pairs

(8,2),(4,1),(0,0)

The intercept is 0

Y=mx+b

M-slope

b- y intercept

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Answer: A and C

d + q = 5 is one correct answer, not 500

0.1d + 0.25q = 5 as this is literally just the equation you are doing.

Answer:

[tex]\frac{x+4}{8x+8}[/tex]

Answer: 1/(x+2)

Step-by-step explanation:

[tex]\frac{x+4}{x^2+6x+8}\\[/tex]

[tex]\frac{x+4}{(x+2)(x+4)}[/tex]

the x+4 cancel each other so we are left with 1/(x+2)

if the main question was how to foil the denominator x2 + 6x + 8, i can quickly explain that.

x2 + 6x + 8

a2 + bx + c

first step is to multiply the first variable with that last or a * c which in this case would give 1 * 8 = 8

the next step would be to look at the middle number which is b, in our case 6.

so then you look for two number that can multiply to to give 8 as well as add up to 6. With easy guessing one will come up with 4 and 2.

with this values you can impute them directly into the equation as

x^2 +4x +2x+ 8

split the equation then factor

(x^2 +4x) (2x+ 8)

x(x+4) 2(x+4) note that the factored equation must always be the same in the bracket. If they are not the same then you have made a mistake somewhere across the line.

with the results giving (x+2)(x+4)

Answer:

Red:  1/2

White:  1/6

Blue:  1/3

Step-by-step explanation:

You take and find the total number of marbles, which is 18. You then take the number of each different color and make that number your numerator, and 18 your denominator and reduce.

Red: 9/18 reduces to 1/2

White: 3/18 reduces to 1/6

Blue: 6/18 reduces to 1/3

Answer:  We will never reach a sum of 2

We get closer and closer to 2, but never actually reach this exact value.

==============================================================

Explanation:

The sequence

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, ...

is geometric with these properties

We multiply each term by 1/2 to get the next one.

Examples:

----------------

Notice how -1 < r < 1 is true, i.e. -1 < 1/2 < 1 is true.

Because of this fact, we can determine the sum of infinitely many terms.

That infinite sum is

S = a/(1-r)

This is our upper bound of what we can reach for S.

Calculating it gives:

S = a/(1-r)

S = 1/(1-0.5)

S = 2

Therefore, the sum of the infinitely many terms of this geometric sequence is 2.

1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + ... = 2

We never quite reach 2 exactly due to the fact we cannot reach infinity on the number line. Infinity is not a number, but rather a concept.

Therefore, we never reach a sum of 2. We simply get closer and closer.

-------------

Using computer software, I was able to generate this:

The decimal values are exact without any rounding done to them. As you can see, the results of 1.5, 1.75, 1.875, etc are slowly approaching 2 but never get to that exact value itself. Visually you can think of an asymptote.

The length of the shadow is 24. 56m

From the information given, we have that;

Using the Pythagorean theorem, we have;

a² = b² + c²

Substitute the values, we get;

38² = 29² + c²

Find the squares

1444 - 841 = c²

c² = 603

Find the square root of both sides

c = 603

c = 24. 56m

Hence, the value is 24. 56m

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Answer:

2x + y = 3 becomes y = 3 - 2x

-2x + y = -1 becomes y = -1 + 2x

2x + y = 5 becomes y = 5 - 2x

Parallel: 2x + y = 5

Perpendicular: 0.5x + 7

neither parallel nor perpendicular to line a: -2x + y = -1

The initial population size is 2800

The function represents growth

The percentage through which the population size changes is given as 7%.

The formula is given as

[tex]Po = 2800 (1.07)^t[/tex]

From the formula that we have above, the initial population size is given as 2800.

We have p = P₀(1 + r)^t

where 1 + r = 1.07

We are to find the value of r

r = 1.07 - 1

r = 0.07

Given that the value of r is positive, this is the representation of a growth.

The percentage through which the change would occur = 0.07 x 100

= 7%

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Model equivalent to 16 2/3 % is Option D.

Given:

The number of students at Liam's elementary school has increased 16 2/3 % in the past two weeks.

Option D is divide into six parts with one filled which is equal to 16 2/3 %.

Total parts = 6 * 16 2/3

= 6*48+2/3

= 6 * 50/3

= 300/3

= 100%

Here total parts is equal to 100% so it is the correct option.

Therefore model equivalent to 16 2/3 % is Option D.

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ΔRNP and ΔSOP are congruent by the ASA rule.

What is Angle-Side-Angle (ASA) Rule?

If two angles and the included side of one triangle equal two angles and the included side of another, the triangles are congruent.

In the given figure,

For ΔRNP and ΔSOP,

                    ∠NRP ≅ ∠OSP ----- (Alternate angles)

                    ∠OPS ≅ ∠RPN ----- (Opposite angles)

                    Side PR ≅ Side PS

Hence, ΔRNP and ΔSOP are congruent by the ASA rule.

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According to the plotted graph, the x intercepts are (1,0),(2,0) and (4,0) and the y intercept is (0, -8)

Intercepts:

In the graph theory, the x-intercept is the point where a line crosses the x-axis, similarly the y-intercept is the point where a line crosses the y-axis.

Given,

One factor of the function f(x) = x³ − 7x² + 14x − 8 is (x − 4).

Here we need to identify the x and y intercept of the function through the graph of the function.

Here we have to do the following steps on the graphing calculator, to plot the function,

1) Set the x and y axis values on the graphing calculator.

2) Enter the required function on the input box.

3) Which ever the point that placed on the x axis are the points that refers the x intercept

4) Similarly, which ever the point that placed on the y axis are the points that refers the y intercept.

Now, the graph of the function is plotted and attached below.

Therefore, the x intercept are (1,0), (2,0) and (4,0) and the y intercept is (0,-8)

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Answer:

-8/9

Step-by-step explanation:

(-7/9) /( (-1 1/6) * (-3/4) )   make all fractions improper fractions

(-7/9) / (-7/6 * -3/4)       solve brackets

(-7/9) / (7/8)

(-7/9) * (8/7)

-8/9

The slope concept shows that there are 335.3953 feet between points A and B.

The slope is calculated by dividing the vertical and horizontal changes. A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Additionally, it is the tangent to the depression angle.

The vertical change in this issue is 103 feet.

At point A, the horizontal position is represented by xA, and the angle there is 18o, so: tan 18 degree = 103/xA xA = 103/tan 18 degree xA = - 90.5653

At point B, the horizontal position is at, and the angle is at, so: tan 75degree = 103/xB xB = 103/tan 75 degree xB = - 244.83

The measurement is given by: d = xA - xB d = -90.5653 - ( - 244.83)

d = 335.3953

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Answer:

289.4

Step-by-step explanation:

These people are elected in 47814 different ways to these positions.

Given, there are 9 freshman, 13 sophomores, 13 juniors and 16 seniors running for the offices of president, vice president, and secretary.

Now, the number of different ways in which these people can be elected for these positions be,

C(9 , 1)×C(13 , 1)×C(13 , 1)×3! + C(9 , 1)×C(13 , 1)×C(16 , 1)×3! + C(9 , 1)×C(13 , 1)×C(16 , 1)×3! + C(13 , 1)×C(13 , 1)×C(16 , 1)×3!

= 9×13×13×6 + 9×13×16×6 + 9×13×16×6 + 13×13×16×6

= 9126 + 11232 + 11232 + 16224

= 47814

So, these people can be elected in 47814 different ways.

Hence, these people are elected in 47814 different ways to these positions.

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An exponential function approaching a value of 10 as x approaches infinity is given as follows:

[tex]y = (0.25)^x + 10[/tex].

The general model for an exponential function is presented as follows:

[tex]y = ab^x + c[/tex]

In which the variables of the function are listed as follows:

In this problem, the function approaches value of 10 as x approaches infinity, meaning that the asymptote is of 10, hence:

c = 10.

The above condition is also only possible if the exponential function is decreasing, that is parameter b is between 0 and 1, hence one possible function is:

[tex]y = (0.25)^x + 10[/tex]

The restriction for parameter b is because if the function was increasing, that is, b > 1, it would approach infinity as x approaches infinity.

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