A ball is hit from the ground. When the ball has traveled a horizontal distance of d meters, its height, h, in
meters, can be modeled by the function h (d) = -
1 d + d.
What is the horizontal distance from the point where the ball is hit to the point where the ball lands on the
ground?
nour in the snaca nrovided

A Ball Is Hit From The Ground. When The Ball Has Traveled A Horizontal Distance Of D Meters, Its Height,

Answers

Answer 1

Answer:

  125 meters

Step-by-step explanation:

The ball will hit the ground when its height is zero. Use that value for h in the equation, and solve for d.

__

  h(d) = -d²/125 +d . . . . the given equation

  0 = d(-d/125 +1) . . . . . use h=0, and factor out d

This equation is satisfied by values of d that make the factors zero:

  d = 0   ⇒   d = 0

  -d/125 +1 = 0   ⇒   d = 125

The horizontal distance to the landing point is 125 meters.


Related Questions

A large company boasts in their promotional literature that 75% of their employees have college degrees. A simple random sample of 54 employees from this company is taken, and the proportion with a college degree is calculated. If a hypothesis test were to be performed to test the company’s claim, which of the following would represent the appropriate pair of hypotheses?

Answers

The hypotheses that represent the appropriate pair of hypotheses will be H₀: p = 0.75 and Hₐ: p ≠ 0.75. Then the correct option is C.

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

A large company boasts in their promotional literature that 75% of their employees have college degrees.

A simple random sample of 54 employees from this company is taken, and the proportion with a college degree is calculated.

If a hypothesis test were to be performed to test the company’s claim.

Then the hypotheses represent the appropriate pair of hypotheses will be

H₀: p = 0.75

Hₐ: p ≠ 0.75

Thus, the correct option is C.

More about the null hypotheses and alternative hypotheses link is given below.

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convert 1/5 to it's equivalent decimal and percent

Answers

It will be 0.2 as a decimal. it will be 20% as a percentage
Answer:
Decimal: 0.2
Percentage: 20%

Which of the following figures has a circumference that is closest to 121 inches?
A
a circle with a diameter of 38.5 inches

B
a circle with a diameter of 19.3 inches

C
a circle with a radius of 38.5 inches

D
a circle with a radius of 6.2 inches

Answers

Answer:

B

a circle with a diameter of 19.3 inches

Anyone can help please

Answers

I don’t know if I’m seeing the whole problem but what I can say is
x = < 3 because it’s vertical.
x = < 4 because it’s corresponding angles.
x = < 7 because it’s Alt. Exterior

2. Start with the parent function for a square root function. Perform the following translations:

-reflect the graph over the x-axis
-move the graph to the left 2 units
-move the graph down 3 units

1) Sketch the original function and the shifted function on the same graph.

2) Write the equation of the shifted function.

Answers

Answer:

2/23

Step-by-step explanation:

Help please!!! Thanks!

Answers

A because when you see a + sign it means add to do it would be going up not down

PLSS HELPPP: A water cooler holds 18 liters of sports drink. Approximately how many gallons is this? (1 gallon = 3.785 liters

Answers

Answer:

4.75561426684

Step-by-step explanation:

Use websites that are calculators

Which expression best represents the areas of this square with sides in the photo below?

Answers

Answer: 9x⁴y⁶

Step-by-step explanation:

[tex](3x^{2}y^{3})(3x^{2}y^{3}) = 9x^{4}y^{6}[/tex]

Basically, when multiplied, integers multiply, and exponents add.

The turtle’s distance from his starting point is increasing between
seconds.



The turtle’s distance from his starting point is constant between
seconds.



The turtle’s distance from his starting point is decreasing between
seconds.

Answers

Answer:

Option A is the correct option

Answer:1) 0-6, 2)6-8, 3)8-12

Step-by-step explanation:

Find the slope of the line that passes through the following two points. (1,0) and (3,0)

Answers

y = - 0

The line is horizontal.

It’s 0 as it is a horizontal line

Denise made 9 identical bags using 4 yards of fabric. How much fabric did denise use for each bag

Answers

Answer:

36

Step-by-step explanation:

you do 4×9 = 36

she used 36 for each bag

Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f (x) = 5 x squared minus 3. g (x) = 5 x squared + 3.
a.

both f and g open downward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
b.

both f and g open upward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis
c.

both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
d.

both f and g open downward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis

Answers

Answer:

c.

Step-by-step explanation:

The leading coefficient is 5 (positive) so they both open upwards.

f has -3  (below x axis) and g has + 3. (above x-axis)

A farmer planted five rows of banana trees. Each row had six trees. His goat ate eight of the flowers. How many trees were left?​

Answers

Answer:

Step-by-step explanation:

if his goat ate 8 flowers why is it asking how many trees?

How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

D) infinitely many solutions

Find the range of the data set 145, 612, 120, 349, 515, 212, 590.

Answers

Answer:

The biggest - the smallest

612-120=492

Answer:

612 - 120=492

Step-by-step explanation:

to find the range the formula is to list the data set from smallest to largest, then subtract the smallest from the largest. 120, 145, 212, 349, 515, 590, 612= 612 - 120= 492

3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.

Answers

                   [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

            Find the equation of the line passing through (4, 5) and parallel to

                3x-2y=4.

 [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

[tex]\rightarrow[/tex] First, add 2y on both sides:-

                            [tex]\Large\textsf{3x+2y=4}[/tex]

[tex]\rightarrow[/tex] Now, subtract 3x on both sides:-

                  [tex]\Large\textsf{2y=-3x+4}[/tex]

[tex]\rightarrow[/tex] Divide by 2 on both sides

    [tex]\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}[/tex]

[tex]\rule{300}{3}[/tex]

Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

[tex]\Large\text{$-\displaystyle\frac{3}{2}$}[/tex]

Now let's write the equation in point-slope form:-

[tex]\hookrightarrow\sf{y-y_1=m(x-x_1)}[/tex]

Replace numbers with letters, as follows:-

[tex]\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}[/tex]

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

[tex]\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}[/tex]

Now, Add 5 on both sides:-

[tex]\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}[/tex]

[tex]\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}[/tex]

Good luck with your studies.

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

Please help me answer this question please...

Answers

answer is here about stem and leaf

Calculate the hollow conducting cylinder with an inner diameter a= 10 mm and outer diameter b= 18 mm. The height of the cylinder is 35 mm. Find the volume of cylinder.

Answers

Answer:

1960 π

Step-by-step explanation:

If R is the outer radius and r the inner radius of a hollow cylinder of height h, then volume of cylinder = π (R² - r²)h

Here R = 18/2 = 9

and r= 10/2 =5

Volume = π (9² - 5²) . 35 =  π x 56 x 35 = 1960 π

i. 2/5 + 1/2 - 1/10. ​

Answers

The answer is 0.8-

2/5=.4

1.2=.5

1/10=.1

Answer: 4/5
Decimal: 0.8

Pa help naman po sa math Salamat po ​

Answers

Answer:  See the table below

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

Explanation:

The first task is to sort the values from largest to smallest.

Doing so gets us this list

57, 51, 48, 46, 45, 44, 43, 41, 40, 39, 39, 38, 37, 36, 36, 35, 35, 34, 33, 32, 31, 29, 29, 28, 24, 21, 19, 18, 13, 8

Next, we look for values that are between 56 and 60. That would be the single value of 57. This means we have 1 tally mark for the first row and the frequency is 1.

After that, we look for values between 51 and 55. That would be the single value of 51. Like the previous row, we'll have a single tally and a frequency of 1.

The 46-50 group will have the values 48 and 46 in it, so we have two tally marks and a frequency of 2 for this row.

This process is continued until all the values are accounted for. Effectively you are sorting the values into the proper bins.

You should end up with the table below. The fourth column is optional. It helps show where all of the values are sorted (to help confirm we have the correct tallies and frequencies).

Look at the image below. Find the area of the parallelogram.

Answers

Answer:120square unit

Step-by-step explanation:khan

In "The Emperor's New Clothes" what does the opening tell you about the narrator?
A. second person narrator
B. third person narrator
C. no narrator

Answers

Answer:

third person

Step-by-step explanation:

please help please please help

Answers

Answer:

The answer is the first option because 2÷2=1 and 10÷2=5

To multiply 64 • 8.32, use the logarithmic equation:

1) log 72.32


2) log 64 + log 8.32


3) antilog 64 + antilog 8.32


4) (log 64)(log 8.32)

Answers

To multiply 64 • 8.32, use the logarithmic equation (2)  log 64 + log 8.32

How to determine the equivalent equation?

The product is given as:

64  * 8.32

As a general rule, the product of a and b can be calculated using:

a * b = antilog(log(a) +log(b))

This means that:

64  * 8.32 = antilog(log(64) +log(8.32))

Hence, we make use of the logarithmic equation (2)  log 64 + log 8.32

Read more about logarithmic equation at:

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During Year 1, Hardy Merchandising Company purchased $40,000 of inventory on account. Hardy sold inventory on account that cost $24,500 for $38,000. Cash payments on accounts payable were $22,000. There was $26,000 cash collected from accounts receivable. Hardy also paid $5,100 cash for operating expenses. Assume that Hardy started the accounting period with $20,000 in both cash and common stock.

Answers

Answer:

Step-by-step explanation:

-40,000

+24500

+38000

+22000

+26000

-5,100

total gain =65000

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -6/5x - 2

Step-by-step explanation:

The line intercepts the y-axis 2 below 0, and down 6 for every 5 to the right on the x-axis

to get the equation of any straight line, we simply need two points off of it, let's use those points in the picture below.

[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-5)}}}\implies \cfrac{-12}{5+5}\implies \cfrac{-12}{10}\implies -\cfrac{6}{5}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-5)})\implies y-4=-\cfrac{6}{5}(x+5) \\\\\\ y-4=-\cfrac{6}{5}x-6\implies y=-\cfrac{6}{5}x-2[/tex]

Find the volume of the cylinder.
Either enter an exact answer in terms of TT or use 3.14 for T.
6
units3

Answers

Answer :

Volume is 471 unit^3

Step-by-step explanation :

Here we have been given with the radius and height of a cylinder that is 5 unit and 6 unit respectively. We need to calculate the volume of cylinder so we would be using its formula. V = πr^2h

Here,

h is heightr is radius

We have :

r = 5 h = 6

Substituting the values :

>> V = 3.14 × (5)^2 × 6

>> V = 3.14 × (5 × 5) × 6

>> V = 3.14 × 25 × 6

>> V = 3.14 × 150

>> V = 471

Volume of cylinder = 471 units .

Please Answer The Following Question: Write the rational approximation of straight pi correct to two decimal places, where straight pi almost equal to 3.14159265 space

[Note: begin mathsize 12px style straight pi end style is the ratio of a circle's circumference to its diameter.]

Answers

Answer:

Most people know Pi up to 2 decimal places (3.14) because you can always refer to the internet for those extra decimal places anytime you want.

Step-by-step explanation:

It's easy to create rational approximations for π. Every time you write down π to a few decimal places, that's a rational approximation.

Depending on the purpose of a calculation, π can be approximated by using fractions for ease of calculation. The most notable such approximations are 22⁄7 (relative error of about 4·10−4) and 355⁄113 (relative error of about 8·10−8).

Why should a person care about his or her credit report?

Answers

Answer:

Checking your credit history and credit scores can help you better understand your current credit position. Regularly checking your credit reports can help you be more aware of what lenders may see. Checking your credit reports can also help you detect any inaccurate or incomplete information.

Step-by-step explanation:

hope this helps if not let me know have a blessed day

What is the equation of the line that is perpendicular to -x+y=7 and passes through (-1,-1)?

a.-x+y=2
b.-x-y=2
c.x-y=2
d.-x-y=0
e. x+y=0

Answers

Answer:

[tex]-x - y = 2[/tex].

Step-by-step explanation:

If the slope of a line in a plane is [tex]m[/tex] and the [tex]y[/tex]-intercept of that line is [tex]b[/tex], the slope-intercept equation of that line would be [tex]y = m\, x + b[/tex].

Rearrange the equation of the given line [tex]-x + y = 7[/tex] in the slope-intercept form to find the slope of this line:

[tex]-x + y = 7[/tex].

[tex]x -x + y = x + 7[/tex].

[tex]y = x + 7[/tex].

Notice that in the slope-intercept equation of this given line, the coefficient of [tex]x[/tex] is [tex]1[/tex]. Thus, the slope of the given line would be [tex]m_{1} = 1[/tex].

Two lines in a plane are perpendicular to one another if the product of their slopes is [tex](-1)[/tex]. In other words, if [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are the slopes of two lines perpendicular to each other, then [tex]m_{1}\, m_{2} = (-1)[/tex].

Since [tex]m_{1} = 1[/tex] for the given line, the slope of the line perpendicular to this given line would be:

[tex]m_{2} = (-1) / m_{1} = (-1) / 1 = -1[/tex].

If the slope of a line in a plane is [tex]m[/tex], and that line goes through the point [tex](x_{0},\, y_{0})[/tex], the equation of that line in point-slope form would be:

[tex]y - y_{0} = m\, (x - x_{0})[/tex].

The slope of the line in question is [tex]m = (-1)[/tex]. It is given that this line goes through the point [tex](-1,\, -1)[/tex], where [tex]x_{0} = (-1)[/tex] and [tex]y_{0} = (-1)[/tex]. Thus, the equation of this line in point-slope form would be:

[tex]y - y_{0} = m\, (x - x_{0})[/tex].

[tex]y - (-1) = (-1)\, (x - (-1))[/tex].

[tex]y + 1 = -(x + 1)[/tex].

Rearrange this equation to match the format of the choices:

[tex]y + 1 = -x - 1[/tex].

[tex]x + y = -2[/tex].

[tex]-x - y = 2[/tex].

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