PLEASE HELP !!!!!!!!!!!!




9. The approximate height, h, in metres, travelled by golf balls hit with two different clubs over a horizontal distance of d metres is given by the following functions:

-Seven Iron: h= -0.002d^2+0.3d

-Nine Iron: h=-0.004d^2+0.5d


a) At what distances is the ball at the same height when either of the clubs is used?


B) What is this height?

(I need to use a ti-84 calculator in order to find the answer)

Answers

Answer 1

Answer:

The ball will reach the same height of 10 meters after 100 meters.

Part A)

100 meters.

Part B)

10 meters.

Step-by-step explanation:

The golf-ball hit by the Seven-Iron is modeled by the equation:

[tex]h=-0.002d^2+0.3d[/tex]

And the ball hit by the Nine-Iron is modeled by the equation:

[tex]h=-0.004d^2+0.5d[/tex]

Where h is the height of the ball after d meters.

When they are at the same height, the two equations will equal each other.

Graphically, this is where the two graphs will intersect.

To solve this using a Ti-84, you can follow these steps (I'm using the Ti-84 Plus Silver Edition):

1) Using [Y=], write and then [GRAPH] the two equations.

2) Press [ZOOM] and [ZOOM OUT] until you can see both graphs clearly.

3) To find the intersection point, press [2ND] and then [CALC] (above [TRACE]).

4) Choose [5) Intersect].

5) Using the arrow keys, click on one graph to choose it as your first curve and the other to choose it as your second curve. (In this case, it doesn't matter which one is which.)

6) When it asks you to guess, put the cursor to as close to the intersection point as possible. Ignore the intersection at the origin point.

7) Press [ENTER], and it should give you your solution.

Therefore, the intersection point (not counting (0,0)) is at (100, 10).

Therefore, the ball will reach the same height of 10 meters after 100 meters.


Related Questions

According to the number line, what is the distance between points A and B?

0 6 units
7 units
O 12 units
O 14 units

Answers

Answer:

14 units

Step-by-step explanation:

A = - 2, B = 12

Therefore,

d(A, B) = 12 - (-2) = 12 + 2 = 14 units

find the sum or difference of the following ( simplify all answers)
a) 1/5 + 3/5=
b) 5/8-1/8=
c) 8/9 + 4/9 =
d) 3/5+ 1/10=
e) 2/3 +3/4=
f) 4/5- 1/3= ​

Answers

A) 4/5
B) 1/2
C) 4/3
D) 7/10
E) 17/12
F) 17/15

The three straight paths, , , and , meet each other at three points, A, B, and C. How do these points of intersection differ from each other? Explain the differences in terms of the angles that you see. Also look at the length of the side opposite each angle. What pattern do you see regarding the measurements? In what situation would all the points of intersection resemble one another? Modify the triangle in GeoGebra to help you with your answers

Answers

Answer:

Step-by-step explanation:

I am sort. I have no idea

Answer:

The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.

Step-by-step explanation:

Find the area of the polygon with the coordinates (1, 2), (3, 2), (3, 0), and
(1,0).
2 sq. units
8 sq. units
4 sq. units
16 sq. units

Answers

Answer:

4 sq. units

Step-by-step explanation:

Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.

We can see that for this polygon, opposite sides are parallel and equal to each other.

To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:

The length is the distance between (1, 2) and (3, 2):

[tex]length=\sqrt{(3-1)^2+(2-2)^2} =2\ units\\[/tex]

The breadth is the distance between (3, 2) and (3, 0):

[tex]length=\sqrt{(3-3)^2+(0-2)^2} =2\ units\\[/tex]

Since length = breadth, hence this is a square.

Area= length * breadth = 2 * 2 = 4 sq. units

Mrs. Nygaard needs 12 hours to grade all of her students’ projects. She made a chart to show how much time she could spend grading the projects during the week. Project Grading Day Hours Grading Monday 1 and three-fourths Tuesday 1 and one-half Wednesday 1 and one-fifth Thursday 2 Friday 1 and one-fourth How many hours will Mrs. Nygaard need to work over the weekend to finish grading the projects? 1 and three-fifths hours 4 and StartFraction 3 over 10 EndFraction hours 6 and one-half hours 19 and StartFraction 7 over 10 EndFraction hours

Answers

Answer:

B

Step-by-step explanation:

Option B is correct, 4 and 3/10 hours  will Mrs. Nygaard need to work over the weekend to finish grading the projects.

What is Fraction?

A fraction represents a part of a whole.

To find the total amount of time Mrs. Nygaard has available during the week to grade projects, we need to add up the hours for each day:

1 and three-fourths + 1 and one-half + 1 and one-fifth + 2 + 1 and one-fourth = 7 and five-tenths hours

This means that Mrs. Nygaard has 7.5 hours during the week to grade projects.

If she needs 12 hours to grade all the projects, then she will need to work for an additional:

12 - 7.5 = 4.5 hours over the weekend to finish grading the projects.

Therefore, 4 and 3/10 hours  required to Mrs. Nygaard need to work over the weekend to finish grading the projects.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ7

large pies cost £3.25 each
small pies cost £1.80 each

five children together buy 2 large pies and 1 small pie. they share the cost equally - how much does each child pay

Answers

Answer:

1.66 £

Step-by-step explanation:

(2 * 3.25 + 1.80) : 5 =

8.3 : 5

1.66 £

Find a linear function f, given f(6) = - 4 and f(-3) = - 10. Then find f(0).
f(x)=0
(Type an expression using x as the variable. Simplify your answer.)
f(0) = (Simplify your answer.)

PLZ HELP

Answers

Answer:

[tex]y = \frac{2}{3} x - 8[/tex]

f(0)=-8

Step-by-step explanation:

Slope=rise/run=(-4-(-10))/(6-(-3))=6/9=2/3=m

y=m*x+q

-4=(2/3)*(6)+q

q=-8

f(0)=(2/3)*(0)-8=-8

Solve each system of equations by substitution. Clearly identify your solution.

Answers

Answer:

(-7,-2)  

Step-by-step explanation:

y = 3x + 19

y = 5x + 33

Substitute in y. Basically set equal to each other.

3x + 19 = 5x + 33

-2x = 14

x = -7

y = 3 (-7) + 19

y = -21 + 19

y = -2

Answer:

y = -2

x = -7

Step-by-step explanation:

Substitute y= 5x + 33

5x + 33 = 3x + 19

Isolate x for 5x + 33 = 3x + 19: x = -7

For y = 5x + 33

Substitute x = -7

y = 5(-7) + 33

y = -2

So the solution is y= -2, x=-7

Need help on this!!! 7 points!!!

Answers

Answer:

P= $226,863.29

Step-by-step explanation:

Compounded Continously means

P= P₀e^(rt)

plug in givens

P=(47000)e^(0.0926*17)

Use Calculator

and get P= $226,863.29

Answer:

$226,863.29

Step-by-step explanation:

P = $47,000

r = 0.0926

t = 17

A = [tex]47,000(2.718)^{(0.0926)(17)}[/tex]

A = $226,863.29

Can some help me with this question?

Answers

I believe your answer would be B. because when it’s at year 0 it’s at 5, which is the y intercept. so it makes sense for it to answer B. sorry if i’m wrong but i hope it helps!

Answer:

B.

Step-by-step explanation:

f(t) = 5 * 2^t

At the y-intercept, t = 0.

f(0) = 5 * 2^0

f(0) = 5 * 1

f(0) = 5

At time = 0, the coin is worth $5.

The value of the y-intercept is the value of the coin at time = 0, which is when the coin was purchased.

Answer: B.

What is the negation of 5

Answers

Answer:

-5

Step-by-step explanation:

Answer:

the correct answer is its -5

write down five numbers so that the mean is 6 the median is 5 and the mode is 4​

Answers

Answer:

4,4,5,7,10

Step-by-step explanation:

this can be

4,4,5,7,10

5 is in the middle because 5 is median

4 appeared thrice cause it is the mode

and 10 is just there to give us our mean 6 because it is only 30/5 that gives 6 so we have to find 5 numbers whose sum gives 30

Answer:

The 5 numbers can be: 4, 4, 5, 8, 9.

Step-by-step explanation:

In 4, 4, 5, 8, 9.     5 is the median (The middle number).

The mode is 4 because 4 is the most repeated number.

(4+4+5+8+9)/5 is equal to 30/5 which equals 6. So, 6 is the mean.

Hope this helps! :)

In 90 minutes, John can run 30 laps around the track. Determine the number of laps he can run per hour.

Answers

Answer:

in 90 minutes he ran 30 laps

there is 60 minutes in a hour so the fraction would be

2/3 so we have to multiply this by 30

2/3*30=20

He can run 20 laps in a hour

Hope This Helps!!!

Let a and b be the solutions to x^2 + x − 3 = 0. Find the value of a^3 − 4b^2 + 19.
If you can't solve it don't answer.
This is a challenge.
Good luck!

Answers

Answer:

0.037

Step-by-step explanation:

Given that,

Let a and b be the solutions to [tex]x^2 + x -3 = 0[/tex]

It can be solved using quadratic formula where a = 1, b = 1 and c = -3

So,

[tex]x=\dfrac{-1+\sqrt{1^2-4\times 1\times (-3)}}{2(1)},\dfrac{-1-\sqrt{1^2-4\times 1\times (-3)}}{2(1)}\\\\x=1.30,-2.3[/tex]

Let a = 1.3, b = -2.3

The value of [tex]a^3 -4b^2 + 19[/tex] can be given by :

[tex]a^3 -4b^2 + 19=(1.3)^3-4\times (-2.3)^2+19\\\\=0.037[/tex]

So, the value of the given expression is 0.037.

A retailer allows 15% discount on the Marked price of an electric fan. If a customer pays Rs 2244 with 10% VAT,find the Marked Price of the fan​

Answers

Answer:

2400

Step-by-step explanation:

2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.

so, let's calculate backwards :

2244 = 100% sale price + 10% VAT = 110%

1% = 2244 / 110 = 20.40

100% (actual sale price) = 20.40×100 = 2040

now, because of the 15% discount, these 2040 are only 85% of the originally marked price.

2040 = 85%

1% = 2040 / 85 = 24.00

100% (the original marked price) = 24×100 = 2400

Solve for x. PLZ HELP ASAP!!!

Answers

X is a vertical angle to the angle marked as 100 degrees.

Vertical angles are the same so x = 100 degrees

Answer: 100 degrees

Convert 10,000 seconds into the number of equivalent hours, minutes, and seconds.

Answers

Answer:

She's "Hot"!

Step-by-step explanation:

The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?

x – 2
x – 4
x – 6
x – 8

Answers

Answer:

x-2

Step-by-step explanation:

Dividing 3x2 – 10x + 8 by 3x-4 we get x-2.

P=A+B+C What is B? You can get 50 points.

Answers

Answer:

I guess B=C

Step-by-step explanation:

If it's correct then please mark me brainliest

Apply the distributive property to create an equivalent expression.
4(x - 2 + y) =4(x−2+y)=4, left parenthesis, x, minus, 2, plus, y, right parenthesis, equals

Answers

Answer:

[tex]4x-8+4y[/tex]

Step-by-step explanation:

We are given that an expression

[tex]4(x-2+y)[/tex]

We have to find an equivalent expression using distributive property .

Distributive property:

[tex]a\cdot (b+c)=a\cdot b+a\cdot c[/tex]

Using the property

[tex]4(x-2+y)=4(x-2)+4\cdot y[/tex]

[tex]4(x-2+y)=4x+4(-2)+4y[/tex]

[tex]4(x-2+y)=4x-8+4y[/tex]

Hence, the equivalent expression  of the given expression is given  by

[tex]4x-8+4y[/tex]

Help me with this problem

Answers

6x=180
180/6 = 30
x = 30

Answer:

x = 30

Step-by-step explanation:

If A parallel to B , then

2x and 4x are same- side interior angles and sum to 180° , that is

2x + 4x = 180

6x = 180 ( divide both sides by 6 )

x = 30

What is the image of (-6, -2) after a dilation by a scale factor of 4 centered at the origin?​

Answers

The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:

(x', y') = (kx, ky)

where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.

Substituting the values given in the problem, we get:

(x', y') = (4*(-6), 4*(-2))

Simplifying,

(x', y') = (-24, -8)

Therefore,

The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ2

The mass of a silver plate is directly proportional
to its volume. When its volume is 20 cm3, its
mass is 210 g.
(a) Find the mass of a silver plate of volume
50 cm3
(b) If the mass of a plate is 399 g, what is
its volume?

Answers

Answer:

(a) 525 g

Since they're proportional to each other:

[tex]\frac{20cm^{3} }{210g} =\frac{50cm^{3} }{Xg}[/tex]

Cross-multiply & solve:

[tex]20x=210*50\\20x=10500\\x=\frac{10500}{20} =525[/tex]

(b) 38 cm^3

Same thing, different numbers:

[tex]\frac{20cm^{3} }{210g} =\frac{Xcm^{3} }{399g}[/tex]

Cross-multiply & solve:

[tex]210x=20*399\\210x=7980\\x=\frac{7980}{210} =38[/tex]

Which statement correctly describes the graph of ?

Answers

Answer:

I think it's c

Step-by-step explanation:

Well I believe that would mean that one coordinate would shift by five, c looks the most likely in this case.

I was actually surprised to see that statement A is correct

graphed around with desmos until I reconstructed f(x), then graphed f(x+4)

see screenshot

Suppose that there is a negative correlation between the variables k and l. If l is 150 when k is 7, which of these is most likely to be the value of l when k is 14.
A. 300
B. 150
C. 75
D. 225​

Answers

Answer:

d

Step-by-step explanation:

Answer:

the person above me is correct

Step-by-step explanation:

cus I know

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.

Answers

[tex]x = 2 \\ y = 7[/tex]

is the answer to:

[tex]y = 11 - 2x \\ 4x - 3y = - 13[/tex]

_________________________________________

[tex]x = 5 \\ y = 2[/tex]

is the answer to:

[tex]2x + y = 12 \\ x = 9 - 2y[/tex]

_________________________________________

[tex]x = 3 \\ y = 5[/tex]

is the answer to:

[tex]2x + y = 11 \\ x - 2y = - 7[/tex]

_________________________________________

[tex]x = 7 \\ y = 3[/tex]

is the answer to:

[tex]x + 3y = 16 \\ 2x - y = 11[/tex]

Evaluate
-2 x 3/12 x 5/10 x 7/15​

Answers

[tex]\displaystyle\Large \boldsymbol -2 \cdot \frac{3}{12} \cdot \frac{5}{10} \cdot \frac{7}{15} =-2 \cdot \frac{3 \!\!\!\!\diagup \cdot1}{3 \!\!\!\!\diagup\cdot 4} \cdot \frac{5 \!\!\!\!\diagup\cdot 1}{5 \!\!\!\!\diagup\cdot 2} \cdot \frac{7}{15} =\\\\\\-\frac{2 \!\!\!\!\diagup\cdot 7 }{2 \!\!\!\!\diagup\cdot 4 \cdot 15} =\boxed{-\frac{7}{60}}[/tex]

can anyone help me here asapp,, I am in this question for nearly an hour

Answers

Answer:

See below

Step-by-step explanation:

Let side AB equal x. Since triangle ABC is equilateral, sides AB, BC, and Ac are all the same length, x. In any isosceles triangle(equilateral is a type of isosceles triangle) the median is the same as the altitude and angle bisector. This means we can say that AD is also a median. A median splits a side into two equal sections, so we can say BD = DC = x / 2. We are given that DC = CE, so we can also say CE = DC = x / 2. Now, we can use the pythagorean theorem to find the length of AD. So we get the equation:

AB^2 - BD^2 = AD^2

We have the values of AB and BD, so we can substitute them and solve for AD:

x^2 - (x/2)^2 = AD^2

x^2 - x^2 / 4 = AD^2

AD^2 = 3x^2 / 4

AD = x√3 / 2

DE is equal to the sum of DC and CE because of segment addition postulate, so we can say DE = DC + CE = x / 2 + x/ 2 = x. We can again use the pythagorean theorem to find the length of AE:

AD^2 + DE^2 = AE^2

(x√3 / 2)^2 + x^2 = AE^2

3x^2 / 4 + x^2 = AE^2

AE^2 = 7x^2 / 4

AE = x√7 / 2

Now, we know(from before) that AE squared is 7x^2 / 4. We can say EC squared is x^2 / 4 because EC is x / 2 and x / 2 squared is x^2 / 4. We can also notice that AE squared is 7 times EC squared because 7x^2 / 4 = 7 * x^2 / 4

Therefore, we can come to the conclusion AE^2 = 7 EC^2

Which of these is the equation of the new function? ​

Answers

The answer is 108 because it will help you in the long run

Which statistic is a measure of how data are dispersed in a population and can be used to give context to larger data sets

Answers

Answer:

standard deviation

Step-by-step explanation:

The standard deviation is defined as the measure of how spread out the numbers are in a given population. In other words, statistics refers to the amount of the dispersion or variation of a set of given values.

It is denoted by the Greek letter sigma, σ.

Thus the standard deviation is the measure of how dispersed the data are in the population which can be used to provide context to a larger data sets.

Other Questions
Name the process by which sugar moves into cell A.Name the process by which sugar moves into cell B. Of the four consumer protection groups listed below, identify which groups are government agencies and which are non-governmental. I. Better Business Bureau II. Consumer Product Safety Commission III. Consumers Union IV. Food and Drug Administration a. I and II are governmental; III and IV are not. b. II and III are governmental; I and IV are not. c. II and IV are governmental; I and III are not. d. III and IV are governmental; I and II are not. Please select the best answer from the choices provided A B C D Many home barbeques are fueled with propane gas (C3H8)(C3H8). Part A What mass of carbon dioxide is produced upon the complete combustion of 27.9 LL of propane (the approximate contents of one 5-gallon tank) if America was never discovered, what would the Spanish do to find another way to get to India? Would the Native Americans unite into a nation and make a native North and South America? (alternate history question) What is the relationship between an angle of elevation and an angle of depression in a right triangle? In the adjoining parallelogram ABCD, A is joined to any point E on BC. AE and DC produced meet at E Prove that. area of BEF = area of CDE A department that is evaluated on their success in generating income is a(n): Multiple choice question. asset center cost center investment center profit center Each of the following sets of quantum numbers is supposed to specify an orbital. Choose the one set of quantum numbers that does NOT contain an error.a. n = 4, l = 3, ml =-4b. n = 2, l = 2, ml =0c. n = 3, l = 2, ml =-2d. n = 2, l = 2, ml =+1 If the price of an airline ticket from SFO to LAS were to increase by 10%, from $100 to $110 roundtrip, while all other demand factors remain at their initial values, the quantity of rooms demanded at the Triple Sevens from rooms per night to rooms per night. Because the cross-price elasticity of demand is Find m20. The diagram is not to scale.R68933Select one:O a. 79O b. 101O c.89O d. 112 The amount of __________ in the amospher is ________________, and may being leading to _____________ warming. In mny countries ,_________ are being cut down and _______________ , which adds ___________ to the air. It also removes ______________ that could have used up carbon dioxide to produce _____________. Which statement best explains why the animals readily accept the increased workload? How did congressional neutrality towards slavery in the federal territories actually stir up sectional strife Plz help. Last one today. 20 points. Thx! What is the dollar price of a zero coupon bond with 21 years to maturity, semiannual compounding, and a par value of $1,000, if the YTM is: The two of the most Significant concerns related to these injuries as it refers to the three types of burns? and give an example of your own experience with the burn and your thoughts of the why it hurt so much and it's healing process? Also support your thoughts and cite the source ( and page number ) of your quote Allied In. bought a two-year insurance policy on August 1st for $3,600. What's the adjusting journal entry on December 31st? A train is travelling at 50 m s1 when the driver applies the brakes and gives the train a constant deceleration of magnitude 0.50 m s2 for 100 s. Describe what happens to the train. Calculate the distance travelled Profesora: ____________, Eric.Eric: ____________ profesora! Cmo ____________?Profesora: Me va ____________. Y a ti, cmo ____________?Eric: Me va ____________. who died with bullet in his head