100 POINTS !! The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an initial speed of 70 meters per second can be modeled by the parabola f(x) = x − 0.002x2, where the x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance the potato travels before hitting the ground. A.height: 125 m; distance: 500 m B.height: 250 m; distance: 22 m C. height: 500 m; distance: 125 m D. height: 22 m; distance: 250 m

Answers

Answer 1

Answer:

height: 125m; distance: 500m

Step-by-step explanation:

x = 250

f(x) = x − 0.002x2

f(x) = 250 − 0.002(250 )2

= 250 − 0.002(62,500)

= 250 − 125

= 125

250 times 2 = 500

Answer 2

[tex]\\ \rm\rightarrowtail y=x-0.002x^2[/tex]

So

Put 250

[tex]\\ \rm\rightarrowtail y=250-0.002(250)^2[/tex]

[tex]\\ \rm\rightarrowtail y=250-0.002(62500)[/tex]

[tex]\\ \rm\rightarrowtail y=250-125[/tex]

[tex]\\ \rm\rightarrowtail y=125m[/tex]

This is max height

Distance:-

2×height2×125500m

Related Questions

I need help with Function Operations

Answers

Answer: 189

All Steps and Information Found in Image.

Hope This Helped!

PLEASE HELP
Two archers are shooting arrows at different targets. First archer's possibility of hitting the target is 0,6. Second archer’ possibility of hitting the target is 0,5. What is the possibility that at least one of them will hit the target.

Answers

Answer:

0.8

Step-by-step explanation:

Check the attachment.

15 POINTS

Write an equation in standard form for the given circle

A.) (x+3)^2 + (y+6)^2 = 16
B.) (x-3)^2 + (y+6)^2 = 16
C.) (x+3)^2 + (y-6)^2 = 16
D.) (x-3)^2 + (y-6)^2 = 16

Answers

Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2

---Center = (h, k)

---Radius = r (this value will need to be squared in the final answer)

Center = (-3, -6)

---h = -3

---k = -6

Radius = 4

Equation: (x + 3)^2 + (y + 6)^2 = 16

Correct Answer: A

Hope this helps!

pls help ill give brainliest and 5 starts

Answers

1:plate 2:boundrary 3:geography 4:plate tections. I know this Bc I just took a test and made a 100% on this

Answer:

For number 1: Plate boundaries.

For number 2: Geography.

For number 4: Plate.

For number 5: Plate tectonics

Hope this helps.

-Mark me brainliest & 5 star-

You are traveling by car to New York City. The map you will use for your journey is below. d) You plan to begin your journey in San Jose and make stops in Denver and Chicago on your way to New York City. Your father says that your journey will be about 3,000 miles. Is this a close estimation of the distance? Explain your reasoning.

Answers

Based on the cities you will go through and your starting and finishing points, your father's estimate is a close estimation of the distance.

How far is New York from San Jose?

The map is not provided so we will use a general map.

The distance from San Jose to Denver is around 1,301 miles.

The distance from Denver to Chicago is around 1,004 miles.

The distance from Chicago to New York is around 796 miles.

Added together we get:

= 1,301 + 1,004 + 796

= 3,101 miles

This is close to the 3,000 miles your father estimated.

Find out more on distance at https://brainly.com/question/1839590.

find the ratio of 6:789 now!​

Answers

Answer:

2:263

Step-by-step explanation:

6:789

Let's try simplying it completely, by that I means, divide both of the values by 6.

6:789

1:131.5

We need it to be a whole number, so it's not working. We can't divide by 2, because dividing 789 by 2 is not gonna give us a whole number. (an odd number)

Let's divide by 3

6:789

2:263

Which expression is equivalent to cosine (startfraction pi over 2 endfraction r) for all values of r?

Answers

The trigonometric expression cos (π/2 + r) is equivalent to the negative of sin r. Then the correct option is C.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The trigonometric expression is given below.

[tex]\cos (\dfrac{\pi}{2} + r)[/tex]

We know that the formula

[tex]\cos (\dfrac{\pi}{2} + r) = -\sin r[/tex]

Thus, the cos (π/2 + r) is equivalent to the negative of sin r.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

C?

Step-by-step explanation:

, someone confirm

Which equation would you use to solve the following situation?

If everybody on the team scores 6 points, and the team has a total of 42 points, how many people are on the team?

Answers

Answer:

6p = 42

Step-by-step explanation:

If everybody scores 6 then the possible equation could be 6p = 42.

p represents the people on the team.

Solve for the variable p:

6p = 42

6p/6 = 42/6

p = 7

There are 7 people on the team.

hope this helps and is right!! p.s. i really need brainliest :)

Which equation can be used to find A, the area of the parallelogram shown?

Answers

Answer A

Calculate it correctly you will get it

Answer:

c

Step-by-step explanation:

the area of a parallelogram is given by base ×height

in this case 10×5

Select the action you would use to solve 3x = 12. Then select the property
that justifies that action.
Select all that apply.
I A. Action: Add 3 to both sides.
OB. Action: Multiply both sides by 3.
O C. Action: Divide both sides by 3.
D. Property: Addition property of equality
I E. Property: Multiplication property of equality
O F. Property: Division property of equality

Answers

Answer:

C , F

Step-by-step explanation:

you need to divide both sides by 3 in order to get x

3x = 12

x = 4.

the property is the division property of equality.

pls give brainliest

PLEASE HELP!! Need by 3/29/22!
Find the area of these shapes

Answers

Answer:

Step-by-step explanation:

area of A=15*18=270 cm^2

area of B=15*18=270 cm^2

area of C=1/2 ×x×18=9x cm²

area of D=1/2×15×18=135 cm²

Will give brainiest!!
This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so that it is circumscribed about the candy bar. If segment AD = 4 cm, what is the smallest diameter of wrapper that will fit the candy bar?

Triangle ABC in which point E is between points A and B, point D is between points A and C, point F is between points B and C, segments AE and EB are congruent, segments BF and FC are congruent, and angles AED, ABF, and DFC are right angles.

7 cm
8 cm
9 cm
10 cm

Answers

The diameter of wrapper is the line that passes through its circumference

The smallest diameter of wrapper that will fit the candy bar is 8 cm.

How to determine the smallest diameter?

The diven parameter is:

AD = 4 cm

AD = DC

AC = AD + DC

Substitute AD = DC in AC = AD + DC

So, we have:

AC = AD + AD

AC = 2AD

Substitute 4 for AD

AC = 2 * 4

AC = 8

Hence, the smallest diameter of wrapper that will fit the candy bar is 8 cm.

Read more about diameters at:

https://brainly.com/question/12944899

Answer:

B. 8cm

Hope this helps! :D

Step-by-step explanation:

10.

(07.02 MC)

This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so that it is circumscribed about the candy bar. If segment AD = 4 cm, what is the smallest diameter of wrapper that will fit the candy bar? (1 point)

Plss help asap!

what fraction represents numbers between 21 - 27?

Answers

Answer:

0.7778

Step-by-step explanation:

step 1

Address the input parameters and observe what to be found:

Input values:

The fraction = 21/27

What to be found:

Find the decimal expansion of fraction 21/27.

step 2

The numerator is smaller than the denominator of the fraction 21/27, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 21/27.

=21

27

x10

10

step 3

Rearrange the fraction as like the below:

=10 x 21

27

x1

10

=210

27

x1

10

step 4

Simplify the above expression further:

=210

27

x1

10

=189 + 21

27

x1

10

= (189

27

+21

27

) x1

10

= (7 + 21

27

) x 1

10

step 5

Repeat the step 2 to find the decimal equivalent for the fraction 21/27 in the above expression:

= (7 + 21

27

) x 1

10

= (7 + 0.778) x1

10

step 6

Simplify the above expression further:

= (7 + 0.778) x1

10

= 7.778 x1

10

=7.778

10

21

27

= 0.7778

Hence,

21/27 as a decimal is 0.7778

Ella’s test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean test score of 90?

Answers

Answer:

the answer is 93

Step-by-step explanation:

mean of x,y,z

x+y+z

3 terms

(x+y+z)/3=mean

so

represent next test score as x

89+94+82+84+98+x

count how many terms ther are (6 terms)

mean is 90

(89+94+82+84+98+x)/6=90

add the like terms

(447+x)/6=90

multiply both sides by 6 to clear fraction

447+x=540

subtract 447 from both sides

x=93

The temperature in some region of Alaska equals 13 F. Convert this temperature to Celsius

Answers

Answer:

10.5* Celsius

Step-by-step explanation:

Its easy to do, this is the right answer

Find the value of x for which allb
A. 35
B. 145
C. 140
D. 47

Answers

Answer:

A. 35

Step-by-step explanation:

a || b .....(given)

line c is their transversal.

-> x° + (3x + 40)° = 180° (Interior angles on the same side of transversal)

-> (3x + 40 + x)° = 180°

-> (4x + 40)° = 180°

-> 4x + 40 = 180

-> 4x = 180 - 40

-> 4x = 140

-> x = 140/4

-> x = 35

) Which expression represents the SUM of n and 12?

Answers

hello!

the "sum of" means we add.

So the sum of n and 12 means we add n and 12:-

n+12

or

12+n (both  of these expressions mean the same thing)

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

How many different three digit numbers can be made with 123456789

Answers

Answer:

84

Step-by-step explanation:

Since, the digit should be in ascending order, therefore we have to group 123456789 into 3–3 groups with its digits being in ascending order.

Step 1:

Select 1 as one digit

Step 2:

Select 2 as a 2nd digit.

Step 3:

We have 7 numbers (3,4,5,6,7,8,9) as a 3rd digit of a 3-digit number. Therefore, We have 7 numbers in the form of 12_.

Go back to Step 2 and Select 3 as a 2nd digit. Then, we have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 13_.

Continue these steps till you get the number of 3-digit numbers in the form of 1__ to 189 which will be 28 numbers.

Go back to Step 1 now and select 2 as a 1st digit and in Step 2, start with 3 as a 2nd digit.

In step 3, you’ll have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 23_.

Continue these steps till you find the number of the 3 digit number of the form 2__ to 289 which will be 21

Repeat the steps again to find the number of 3digit number of the form 3__ to 389 which will be 15.

Then find 4__ to 489, 5__ to 589, ……till 789

the answers will be like this

1__=28

2__=21

3__=15

4__=10

5__=6

6__=3

789 which is 1

Adding all these, you’ll get 84.

The total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.

What is the rule of product in combinatorics?

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] distinct ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We can use the rule of product as:

we can use the analogy of filling each of the 3 places of the three digit number, and this filling doesn't require any ordering like fill the first place and then second etc. We can take those 3 place fillings as 3 different works to be done,e each one doable in 9 different ways.

For this case, the three digit number consider is going to have 3 places in it such that each place can have any of those 9 digits in them.

So each place can be filled in 9 ways.

There are 3 such places, so, using the rule of product, the filling of those places can be done in:

[tex]9 \times 9 \times 9 = 9^3 = 729 \: \rm ways[/tex]

Thus, the total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.

Learn more about rule of product combinations here:

https://brainly.com/question/2763785

#SPJ4

Solve for h.

2 < -19 - 7h

Answers

Answer:

h < -3

Step-by-step explanation:

2 < -19 - 7h

2 + 19 < -7h

21 < - 7h

21/7 < -h

bringing -h to the left

-h > 3

changing the sign to positive h

h < -3

solution set : {h < -3}

Hope that helps...

what is 5x+10 in its simplifiyed form?

srry for my spelling, in a rush- lol

Answers

Answer:

5(x+2)

Step-by-step explanation:

FOR THE INVERSE VARIATION P- , FIND V>
WHEN P= 1/2

Answers

V and g = 2y 5899 4556 5688

please help me please

Answers

Answer:

2/3

Step-by-step explanation:

Looking at the graph, it looks like the line goes through (6,10) and (-6,-8). We can "subtract" the points like so:

(6-(-6))/(10-(-8))

=12/18

=2/3

You can remember this trick as "rise over run".

I hope this solution helped you. Happy mathing!

When factored completely, z2 - 9 equals?

Answers

Let's see

[tex]\\ \bf\bull\rightarrowtail z^2-9[/tex]

[tex]\\ \bf\bull\rightarrowtail z^2-3^2[/tex]

(a+b)(a-b)=a^2-b^2

[tex]\\ \bf\bull\rightarrowtail (z+3)(z-3)[/tex]

Answer:

(z+3)(z-3)

Step-by-step explanation:

a^2 - b^2 = (a+b)(a-b) where a = z and b= 3

So far, 907907907 of the 122312231223 voters have agreed to the new amendment.
Based on this data, what is a reasonable estimate of the probability that the next voter does not agree to the new amendment?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\dfrac{316}{907}
907
316

start fraction, 316, divided by, 907, end fraction

(Choice B)
B
\dfrac{907}{1223}
1223
907

start fraction, 907, divided by, 1223, end fraction

(Choice C)
C
\dfrac{1223}{2130}
2130
1223

start fraction, 1223, divided by, 2130, end fraction

(Choice D)
D
\dfrac{316}{1223}
1223
316

Answers

Answer:

I do not know the answer but I need to answer a question to finish logging into brainly

Answer: 316/1223

Step-by-step explanation: I checked on khan

A giant tortoise can walk about 1/10 meter per second on land. A cooter turtle can walk about 1/2 meter per second on land. How long would it take a giant tortoise to travel 5 meters?

Answers

Answer:

50 seconds

Step-by-step explanation:

because 5÷0.1=50 50×1sec=50 seconds

A company just paid a dividend of $1.20 per share at the end of the year. It is expected to grow at 12% per year for three years, after that it grows constantly at 6%. The cost of equity is 9.5%. What is the current price of stock?

Answers

The current price of the stock given the dividend, cost of equity and growth rates is $46.90.

What is the current stock price?

Thw two-stage dividend growth model would be used to determine the value of the stock.

First stage:

dividend in Y1 = 1.20x 1.12 = 1.344dividend in Y2 = 1.20 x 1.12^2 = 1.505dividend in Y3 = 1.20 x 1.12^3 = 1.69

Second stage:

Y3 = (1.69 X 1.06) / (0.095 - 0.06) = 51.059

Find the present value of these cash flows

(1.344 / 1.095) + (1.505 / 1.095²) + (1.69 / 1.095³) + (51.059/1.095³) = $46.90

To learn more about the two stage dividend model, please check: https://brainly.com/question/26564273

help please
on the image.​

Answers

Answer:

  the women won 1 fewer matches than the men

Step-by-step explanation:

In a pie chart, the fraction of the total that is represented by any sector is the ratio of the angle subtended by that sector to 360°.

__

For the men's team, the winning games represent 150°/360° = 5/12 of all games played. The men played 24 games, so they won ...

  5/12 × 24 = 10 . . . . games won

__

For the women's team, the winning games represent 180°/360° = 1/2 of all games played. The women played 18 games, so they won ...

  1/2 × 18 = 9 . . . . games won

The number of matches won by the men is larger than the number of matches won by the women. (Yes, the women won a larger fraction of their matches played, but not a larger number.)

FGH and PQR are vertical angles. If FGH is 29 what is the measure of PQR?

Answers

Answer:

< PGR = 61°

Step-by-step explanation:

[tex]< FG4\ and\ < PQR\ are\ vortical\ angles.[/tex]

    [tex]< FG4=29[/tex]°

    [tex]< PQR=90\ - < FG4[/tex]

                 [tex]=90\ -29[/tex]°

                 [tex]=61[/tex]°

I hope this helps you

:)

solve pls brainliest

Answers

Answer:

[tex](\frac{2}{3})^{4}[/tex] written in simplest form is [tex]\frac{16}{81}[/tex]

Step-by-step explanation:

When taking a fraction to a certain power, you can rewrite the expression as the numerator taken to that power over the denominator to that power. In this case, the fraction is [tex]\frac{2}{3}[/tex] and the exponent is 4, so you can write the expression as [tex]\frac{2^{4}}{3^{4}}[/tex]. [tex]2^{4}[/tex] is 16, and [tex]3^{4}[/tex] is 81, so the fraction is [tex]\frac{16}{81}[/tex].

Sam has a cylindrical storage container 7 inches tall with a radius of 5 inches. How much cat litter will fit in the container? Round your answer to the nearest tenth.

Answers

Answer:

549.8 inches³

Step-by-step explanation:

Volume of Cylinder = height × base, where base = [tex]\pi[/tex]r².

The radius (r) is given, 5 inches, and so is the height, 7 inches.

We simply substitute these values into the equation.

V(volume)  = 7 × [tex]\pi[/tex] × 5²

                  = 175[tex]\pi[/tex]

                  = 549.77871437821...

when we round that to the nearest tenth,

                  ≈ 549. 8

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