The pathway of a frog jumping onto a lily pad can be represented by the equation h= -0.5t^2 +3t+2

Answers

Answer 1

Answer:

h = 6.5 feet

Step-by-step explanation:

The height of the frog as a function of time is given by :

[tex]h= -0.5t^2 +3t+2[/tex] .....(1)

We need to find the maximum height reached by the frog. We can find it as follows :

Put [tex]\dfrac{dh}{dt}=0[/tex]

So,

[tex]\dfrac{d}{dt}(-0.5t^2 +3t+2)=0\\\\-t+3=0\\\\t=3[/tex]

Put t = 3 in equation (1).

[tex]h= -0.5(3)^2 +3(3)+2\\\\h=6.5\ feet[/tex]

So, the maximum height is 6.5 feet.


Related Questions

(4c+3)+(5b+8) simplify this answer

Answers

Answer:

4c + 5b + 11

Step-by-step explanation:

4c + 3 + 5b + 8

4c + 5b + 11


Chris makes $25 an hour and is getting a 10% raise. What is her new
earning per hour?

Answers

Answer:

$27.50

Step-by-step explanation:

Hope this helps and have a great day!!!!

Step-by-step explanation:

Since his pay is increased by 10 percent, then you multiply 10% by 25 and then add that to 25.

25+10/100(25)=55/2

27.5

Hope that helps :)

Write your own situation for the expression c = 9g

Answers

Ivy is going to the fair with a friend. They will buy cotton candy. They buy 9 bags of it. Each bag cost 2 dollars . What is C the total cost of all the cotton candy if G=2?

Please complete the table below.

Answers

Answer:

1.is 12

2. is 36

3. is 18

4. is 4.5

Step-by-step explanation:

sorry if im wrong

$75 = 3 sweatshirts
$25 = 1 sweatshirt
$50 = 2 sweatshirts
$200 = 8 sweatshirts

Hope this helps :)

Find the x-intercept and
the y-intercept from the
following linear equation:
4x + 7y = 28
X-intercept ([?], [ 1)
y-intercept ([ 1, 1)

Answers

Answer:

         X-intercept: (7, 0)          Y-intercept: (0, 4)

Step-by-step explanation:

X-intercept means y-coordinate of 0:

4x +7×0 = 28

 4x = 28

   x = 7         ← x-coordinate

Y-intercept means x-coordinate of 0:

4×0 +7y = 28

 7y = 28

   y = 4         ← y-coordinate

Jack and Andrea want to create a right triangle together using values of x and y and the polynomial identity to generate Pythagorean triples. If Andrea picks a value of x = 2, and the hypotenuse of the resulting right triangle is 5, what natural number value of y did Jack pick?

y = 1
y = 4
y = 2
y = 3

Answers

Answer:

I think the answer could be y=3 or y=2

it could be something else tho im sorry

Answer:

y=2

Step-by-step explanation:

Given the data 21, 13, 13, 37, 13, 23, 25, 15: What is the outlier in the data? What is the mean with the outlier? What is the mean without the outlier? A. 13; 21; 17.6 B. 37; 20; 17.6 C. 37; 17.6; 20 D. 13; 17.6; 21

Answers

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. The outliner in this problem is 37. The mean with the outliner is 20 and 17.6 with out it,therefore the answer is B

Yes, I need help, give answer as IMPROPER fraction.

Answers

Answer:

[tex]w = \frac{93}{40} [/tex]

w=93
—— Rhejrjfbffnfnfnfnnfnfnf
40

List three examples of aa variable costs​

Answers

Answer:

utility cost, direct labor costs, cost of raw materials used in production

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 4 people and each large car can hold 6 people. The students rented twice as many large cars as small cars, which altogether can hold 48 people. Graphically solve a system of equations in order to determine the number of small cars rented, x,x, and the number of large cars rented, yy.

Answers

Answer:

The students rented 3 small cars and 6 large cars.

Step-by-step explanation:

Since a group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip, and each small car can hold 4 people and each large car can hold 6 people, and the students rented twice as many large cars as small cars, which altogether can hold 48 people, to determine the number of small cars rented, X, and the number of large cars rented, Y, the following calculation must be performed:

4X + 6Y = 48

4x4 + 6x8 = 16 + 48 = 64

4x3 + 6x6 = 12 + 36 = 48

Thus, the students rented 3 small cars and 6 large cars.

I need help please

What is the area?

____ Square millimeters

Answers

the area is 210 square millimeters

The Martins’ van can hold up to 8 passengers. Debbie writes the inequality p < 8, where p is the number of passengers that can fit in the van. Select the choice that provides the best explanation for Debbie’s error and the correct answer in this case. Debbie should have used 8p because 8 passengers can fit in the van. The correct inequality is 8p < 1. Debbie should have switched the inequality symbol to greater than. The correct inequality is p > 8. Debbie should have included 8 as a possible choice. The correct inequality is p < 9. Debbie should have used the not equals sign to compare the two sides of the inequality. The correct answer is p ≠ 8.

Answers

Answer:

Debbie should have included 8 as a possible choice. The correct inequality is p < 9.

Step-by-step explanation:

Given

Passengers = Up to 8

Required

Determine why [tex]p < 8[/tex] is incorrect and make corrections

The inequality [tex]p < 8[/tex] means that the van can hold less than 8 passengers.

To make correction, the digit 8 has to be included in the inequality.

This can be written as:

[tex]p <9[/tex] or[tex]p \le 8[/tex]

Base on the given options, option (c) best answered the question.

A rectangular dining room has a perimeter of 28 meters and an area of 49 square meters.
What are the dimensions of the dining room?

Answers

The dimensions of the dining room is 7by 9

HELP I WILL MARK BRAINLIEST

Answers

Answer:

the answer is A.

Step-by-step explanation:

The answer is A I’m pretty sure

hi guys! i need help with this question 5.2 x 3/2

Answers

Answer:

7. 8 I think (typing more for the limit)

Answer:

7.8

Step-by-step explanation:

What is the length of the legs of the triangle if the hypotenuse of an isosceles right triangle is (sqrt)23 feet?
4 feet
8 feet
16 feet
16.2 feet

Answers

I believe 8 not for sure

in triangle ABC with the right triangle at vertex C, sin a=35/7

Answers

0_0 I’m a baddie with a fattie

Jason wants to create a box with the same volume as the one shown below. He wants the length to be 4
inches. What would be the measurements of the width and height?
Length: 4 inches
Width: inches
Height: inches
Explain how you determined the width and height.
- cubic inch

Answers

Given : jason wants to create a box with the same volume as the one shown

To find : measurements of width and height .

Solution :

Volume of given box

=> 6 * 2 * 3

=36

length to be 4 inches .

lwh = 36

=> 4 wh = 36

=> wh = 9

9 = 1 * 9

9 = 3 * 3

Width and Height can be 3 inches each or 1 and 9 inches

11.Tell whether each situation can be represented by a negative number, 0, or a positive number. Negative Number 0 Positive Number Situation 1: A football team's first play resulted in a loss of 15 yards. Situation 2: A store marks up the price of a calculator $5.20. Situation 3: Nina withdrew $50 from her bank account. Situation 4: A porpoise is swimming at sea level. Situation 5: Kylie scored 2 goals in yesterday's soccer game.​

Answers

Answer:

negative

positive

negative

zero

positive

Step-by-step explanation:

Situation 1: A football team's first play resulted in a loss of 15 yards.

negative

Situation 2: A store marks up the price of a calculator $5.20.

positive

Situation 3: Nina withdrew $50 from her bank account.

negative

Situation 4: A porpoise is swimming at sea level.

zero

Situation 5: Kylie scored 2 goals in yesterday's soccer game.​

positive

The width of a rectangular frame is 6 in. shorter than its length. The area of the frame is 216 in?
What is the frame's length?

Answers

Answer:

18 in

Step-by-step explanation:

len = y

width= y - 6

the area of rectangle is len x width

(Y) x (Y-6) = 216

Y^2 - 6Y = 216, Y^2 - 6y -216 = 0

y = (36 /2) or (-24 /2)

len couldn't be negative so 18

what is more than 1/2 fraction but less than 3/4

Answers

Answer:

2/3

5/8

5/9

7/10

etc.

Write a polynomial of least degree with roots 2 and – 7

Answers

Answer: x^2+5x-14

Step-by-step explanation:

2 and -7 are the roots of the polynomial then we have to write them as

 x=2 ,x=-7

To convert these as factors, we have to write them as

(  x-2) (x+7)

The product of those factors will give the polynomial. Because we have two factors, we will get a quadratic polynomial.

x^2+7x-2x-14

x^2+5x-14

Number of factors  =  Highest exponent of the polynomial

Answer:

y = x² + 5x - 14

Step-by-step explanation:

Given roots x = a, x = b, then the corresponding factors are

(x - a) and (x - b) and the polynomial is the product of the factors

y = (x - a)(x - b)

Here the roots are x = 2 and x = - 7, then the factors are

(x - 2) and (x - (- 7)) = (x + 7), so

y = (x - 2)(x + 7) ← expand using FOIL

y = x² + 5x - 14

Can someone please help me with math.

Answers

Answer:

A. 20.2 ft.

Step-by-step explanation:

Use the pythagorean theorem to find the missing side length.

a^2+b^2=c^2

11^2+17^2=c^2

PLEASE NEED HELP!!!
The wheel of a bicycle has a diameter of 54 inches. How far does the bicycle travel when the wheel completes 20 revolutions?

Answers

Circumference = 2piR= 2(Pi)(27)

Distance travelled is the circumstance multiplied by the 20 revolution:

Distance = 2(Pi)(27)(20)= 3 392.92 inches

Are the expressions 3(x + y) + 2y + 10 and x + 5y + 2(x + 5) equivalent?
.



PLEASE HURRY.

SHOW WORK

Answers

Answer: x^5/x^1 = x^4

y^2/y^2 = 1

so

x^4

here is were I got it : https://www.jiskha.com/questions/1673336/1-which-of-the-following-is-equivalent-to-x-5y-2-xy-2-when-x-not-0-and-y-not-0-a

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

*Pew Pew*

Step-by-step explanation:

Help please I’ll mark brainiest

Answers

Answer:

V≈7853.98

Step-by-step explanation:

V=πr2h

r=10

h=25

Solution

V=πr2h=π·102·25≈7853.98163

Select the correct comparison set a set b O A the typical value is greater is set a the spread is greater in set b

Answers

Answer:

(a)

Step-by-step explanation:

Given

See attachment for sets A and B

Required

The true statement about both sets

First, we calculate the typical values (mean) of set A and set B.

This is calculated as:

[tex]Mean = \frac{\sum fx}{\sum f}[/tex]

For A:

[tex]A= \frac{0*1+2*1+5*1+6*1+7*1}{1+1+1+1+1}[/tex]

[tex]A= \frac{20}{5}[/tex]

[tex]A =4[/tex]

For B:

[tex]B = \frac{7 * 1 + 8 *1 + 9 * 2 + 10 * 1}{1+1+2+1}[/tex]

[tex]B = \frac{43}{5}[/tex]

[tex]B = 8.6[/tex]

Here, we can conclude that B has a larger typical value

Next calculate the spread (range) of sets A and B

This is calculated as:

[tex]Range = Highest -Least[/tex]

For A:

[tex]A = 7 - 0[/tex]

[tex]A = 7[/tex]

For B

[tex]B=10 - 7[/tex]

[tex]B = 3[/tex]

Here, we can conclude that A has a larger spread.

Hence, (a) is true

He points (2, -3) and (2,5) represent the locaons of two towns on a coordinate grid, where 1 unit is equal to 1 mile. What is the distance, in miles, between the two towns?

Answers

Answer:

Distance between the points is 8 miles.

Step-by-step explanation:

Distance between tow points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is defined by,

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance between the given points (2, -3) and (2, 5) will be,

Distance = [tex]\sqrt{(2-2)^2+(-3-5)^2}[/tex]

               = 8 units

Since, 1 unit = 1 mile

Therefore, distance between these points will be 8 miles.

which properties are being used to solve the question

Answers

Answer:

Both commutative and associative

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