Task 3:
A frog sitting on a stump 4 feet high hops off and lands on
the ground. During her leap, the frog's height h in feet is
given by the equation h = -0.5d2 + d + 4, where d is the
horizontal distance in feet from the base of the stump.
A: What was the frog's maximum height?
B: How far from the stump did the frog land?
C: What was the frog's horizontal distance
from the log at her maximum height?

Answers

Answer 1

Answer:

A.   4.5 ft

B.    4 ft

C.    1 ft

Step-by-step explanation:

If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.

You would need to find the vertex of the parabola.  The ordered pairs would be (d, h) instead  of the normal (x, y).  

A.  The maximum height will be the h value of the vertex

B.   Let h = 0 and solve the equation for d.  That will give you distance from the stump that the frog landed.

C.  The distance from the log at the maximum height is the d value of the vertex

So, that is what is needed to be done.

Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2  (discard -2 since a distance cannot be negative)

So the answer to A is 4.5 ft.

The answer to B is 4ft.

The answer to C is 1 ft.

Now, can you find the vertex on your own and can you solve the equation when h = 0?  I hope so.  OK?

Answer 2

A function assigns the values. The maximum height will be when the horizontal distance is 1feet from the log.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.


A.) The maximum height of the frog,

h = -0.5d²+d+4

dh/dd = -0.5(2d)+1

dh/dd = -d+1

0=-d+1

d = 1

The maximum height will be when the horizontal distance is 1feet from the log.

h = -0.5(1)² + 1 + 4

h = -0.5 + 1 + 4

h = 4.5

Hence, the maximum height of the frog will be 4.5 feet.

B.) The Distance between the frog and the stump when the frog land can be found,by putting h=0.

0 = -0.5(d)²+ d + 4

d²-2d-8=0

d²-4d+2d-8=0

d(d-4)+2(d-4)=0

d = 4, -2

Since the distance can not be negative, the frog is 4 feet away from the stump when the frog land.

C.) The maximum height will be when the horizontal distance is 1feet from the log.

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Related Questions

answer both for a ( brain list , thanks , and a 5 star review)

Answers

Answer:

1/ 6

7/ 12

Step-by-step explanation:

Answer:

7a) 1/7

7b) 7/12

Step-by-step explanation:

For 7a) you know that the denominator of 5/6 is equal to 6 so that means you should make 1 have a denominator of 6. To do that, you have to multiply the denominator and the numerator by 6 to get 6/6-5/6=?. With this, you could easily solve the two fractions because they have equal denominators. You subtract the numerator and keep the denominator. 6-5=1 so the answer is 1/6.

For 7b) I would first convert 1 3/12 into an improper fraction. To do that, you have to multiply the whole number by the denominator then add the numerator. It will look like this 12x1+3/12 which is equal to 15/12. This makes the question easier to solve. You then want to convert 2/3 to have a denominator of 12. To do that, you have to multiply 4 on the numerator and denominator. This will turn the fraction into 8/12. After you do that, you can easily subtract the fractions again. you do 15-8/12 which is equal to 7/12.

If this answer has helped you, please mark this answer as brainliest

Which of the expressions below has a 6 in the hundredths place of the product? Select all that apply.

A) 3.3 x 4.4
B) 2.36 x 16
C) 14.4 x 5.4
D) 9.6 x 5.21

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELLPPPP ASSSAPPP

Answers

there’s an app called photo math where u can take a picture of the problem and it gives u the answer.


hope that helps lol

x²-7x+14 what is the answer?

Answers

Answer: X intercepts none Y intercepts (0,14)

Step-by-step explanation:

Find Arc PR
Please help and give explanation ​

Answers

Arc PR is 156 degrees. Since both angles are are making the forming arc they should be congruent. You can put (5x+23)=(9x-21) which is x=11.
Then you plug in 11 into your equation; 5(11)+23=78.
Since the vertex is on the outside of the circle then the arc is forms is 2 times the value of the angle.
78(2)=156

can someone help with this problem pls

Answers

Answer:

A

Step-by-step explanation:

20:12/4

5:3

Nia is baking pies for the party. Each pie requires 2 1/2 cups of
flour. How many pies can she make if she has 7 1/3 cups of flour?

Answers

Answer:

2.93

Step-by-step explanation:

I am just going to ask this question again because I keep getting a scam answer

Answers

Answer:

14.52 seconds

Step-by-step explanation:

Whats the answer ?

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+148x+128
Hope this elf full to you ( thanks) !

Help ASAP I’ll mark you as brainlister

Answers

The angle of elevation is 63.4

What is the value of ( 2 1/4 ) ?

Answers

Answer:

2.25

Step-by-step explanation:

1/4 (one quarter) is equal to .25 or 25% of 100

2+.25=2.25

need help ASAP !!!

[tex] \sqrt{325 \times 325} [/tex]

Answers

Answer:

your answer will be 325

Step-by-step explanation:

thanks...

Answer:

325 is your answer kaul

have a nice day

say on ara

#Captainpower

Consider the point p=(1,4) and the line y=2x+8 Equation in slope intercept form that passes through P and is parallel to the line

Answers

Answer:

No, also you can try  to use desmos to figure it out it is a very helpful tool

Step-by-step explanation:

Find f(-5) if f(x) = 5x + 11.
A) 4
B) 5
C) 6

Answers

Step-by-step explanation: Since f(x) = 5x + 11, we find f(-5)

by substituting a -5 in for the x in the function to get f(-5) = 5(-5) + 11.

Now just simplify the right side to get -25 + 11 or -14.

So f(-5) = -14.

in the quadrant you start at (2,6) and move 5 units right what point will end up on?

Answers

Answer:

(7,6)

Step-by-step explanation:

Add 5 to the x-value of the point.

What is this plz this is the last thing i need

Answers

Answer:

Exactly 1

Step-by-step explanation:

y = 2 x + 1

QR is a radius of circle R and PQ is tangent to circle R. Find the value of x.

Answers

Answer:

x = 13

Step-by-step explanation:

using the Pythagorean theorem

x² = 85² - 84²

x² = 7225 - 7056 = 169

x = 13

Answer:

x = √(85²-84²)

x = √(7225-7056)

x = √169

x = 13

Solve the two-step equation. 14=31.7-3x

Answers

Answer:

x=5.9

Step-by-step explanation:

First, you want to isolate x so you have to subtract 31.7 from both sides. This will make the equation -3x=-17.7. Because they are both sides are negative, you can change both sides to positive so it will be 3x=17.7. Next, you want x to be 1 so you have to divide 3 in both sides. This will make the equation x=17.7/3. Simplify that to get x=5.9.

If this has helped you, please mark as brainliest.

Answer:

1203.3734754701242754528955797863116165046

Different measurements are expressed in different units. Choose the correct SI units for the following types of measurement.

The SI units for measuring the velocity of the car:
The SI units for measuring the acceleration of the car:
The SI units for measuring force:
The SI units for measuring mass:

Answers

Answer:

i dont have one,

jus wanted to remind u that the beutiful

person above deserved brainiest

:)

also u need 2 answers minimum to give brainliest

Nicholas has a pepper shaker in the shape of a cylinder. It has a radius of 9 mm and height of 32 mm. How much pepper will for in the shaker

Answers

By using the fοrmula fοr the vοlume οf a cylinder, the pepper shaker can hοld apprοximately 8,159.15 cubic millimetres οf pepper.

What is the vοlume οf a cylinder ?

The fοrmula tο calculate the vοlume οf a cylinder:

V = πr²h

where:

V = vοlume

r = radius

h = height

Tο calculate the vοlume οf the pepper shaker, we need tο use the fοrmula fοr the vοlume οf a cylinder.

In this case, we have:

r = 9 mm

h = 32 mm

Sο the fοrmula becοmes:

V = π(9 mm)²(32 mm)

V = π(81 mm²)(32 mm)

V = 81π(32) mm³

V ≈ 8,159.15 mm³

Therefοre, the pepper shaker can hοld apprοximately 8,159.15 cubic millimeters (οr milliliters) οf pepper.

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Original price of a DVD: $22.99 Discount: 15%​

Answers

Answer:

Step-by-step explanation:

3.4485

3.4485 is the answer

PLSS HELP ASAP!!! WILL GIVE YOU BRAINLYEST!!
How many times would you expect the spinner to
NOT land on Red if the spinner is spun 40 times?
Justify your prediction.

A. 8 times; 1/5 x 40 is 8
B. 16 times; 2/5 x 40 is 16
C. 24 time; 3/5 x 40 is 24
D. 32 times; 4/5 x 40 is 32

Answers

Answer:

8

Step-by-step explanation:

im not sure how to justify but...

there are 5 'slices'

if it spins 40 times that would be 40 divided by 5 (i think?)

40/5 = 8

Solve for X. Please help! 35 points

Answers

5x+3=6x-4
-x=-7
X=7
Hope this helps!

Help me please I will give brainly

Answers

A. Angle 1 and angle 5

Find the value of the variable(s). If your answer
is not an integer, leave it in simplest radical
form.
12.
x
30°
285
Not drawn to scale
a. x = 14, y = 42-43
b. x= 14 /3, y = 42
= 42-/3, v= 14
d x=42, y = 14 /3

Answers

B it’s definitely B pick B

At Sophia's gymnastics camp, the gymnasts spent 2 hours and 45 minutes on the balance beam and 2 hours and 50 minutes on practicing vaulting. If the gymnastics camp ended at 2:25 P.M., what time did it start?

Answers

Answer: 8:50 am

Step-by-step explanation:

Well, you have to add the hours together, and remember that there is 60 minutes in an hour. You wouls get 5 hours and 35 minutes, or 5:35. You just count backwards from there. Hope this helped!

HELP DOES ANYONE KNOW HOW TO DO THIS?

Answers

Answer:

im pretty positive its exponential

Step-by-step explanation:

Answer:

Linear a good app to do this work is Desmos graph the pairs to see if they are straight

please help i’m struggling

Answers

YES YES the answer is YES

what is the constant term in the expression 8 * y + 9x ^ 2 y - 5x -2

A - 5
B - 2
c 8
d 9

Answers

answer is

-2

that is option b

Rex is making window cleaner by mixing vinegar and water. The ratio table
below shows how much of each ingredient to mix together.
WINDOW CLEANER
Cups of
Vinegar
Cups of
Water
1
3
2.
6
3
9
If Rex uses 7 cups of vinegar, how many cups of water does he need to add?

Answers

Answer:

21

Step-by-step explanation:

In the chart, the left side increases by one, and the right side increases by 3. So the left side multiplied by 3 will give you the right side. 7 x 3 = 21, so he will need 21 cups of water.

A floor shaped like a square has a perimeter of 100 feet. What is the area of the floor in square feet?
A
50 ft?
B
10,000 ft
C
100 ft?
D
625 ft?

Answers

the correct answer is D) 625ft. 100/4=25. 25x25=625
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