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

What is the answer to this question?

Answers

The answer is C. (2, 3)

please help! no links please!

Answers

The value of x is: 75°

360° - 128° - 85° - 72° = 75°

the answer is 75
all quadrilaterals equal 360°

Factor the expression: x^2 +10x+9

Answers

Answer:

(x+1)(x+9)

Step-by-step explanation:

Hope this helps!

If money in a savings account earned 8% interest per annum, how much nterest would be earned on $150.00 over three years?

Answers

Answer:

$36

Step-by-step explanation:

Given :

Interest rate, r = 8% = 0.08

Principal, P = 150

Time, t = 3 years

Simple interest = (principal * rate * time)

Simple interest = (150 * 0.08 * 3)

Simple interest = $36

Much help is needed________

Answers

Answer:

it is 14

Step-by-step explanation:

Answer:

C) 14

Step-by-step explanation:

Volume of a Sphere:

V = 4/3πr³

V = 4/3(3.14)1.5³

V = 4/3(3.14)3.375

V = 14.13

14.13 ≈ 14

The sum of two numbers is 48. The second number is twice the first
Write and solve a system of equations to find the numbers.

Answers

Answer:

The equations are

X + Y = 48 ----Eq (1)

Y = 2 X -----Eq (2)

Solution of the equations and the two number are

X = 16, Y = 32

Step-by-step explanation:

Let the two numbers be X and Y

Given -

The sum of two numbers is 48.

Thus, X + Y = 48 ----Eq (1)

The second number is twice the first

Thus, Y = 2 X -----Eq (2)

Substituting the value of Y in equation (1), we get -

X + 2X = 48

3 X = 48

X = 16

Y = 2 X = 32

HELPPPPPPPPP
What is the value of x in the figure at the right?

Answers

Answer:

x=30

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

60=2x

/2   /2

30=x

Advertisements for the train claim it is on time 90% of the time. The bus has a record of being on time 56 out of 64 days. Which form of transportation provides more reliable service???

Answers

It would be the train because if you find what percent 56/64 is it would be about 87%, so the train would be a more reliable service!

Answer:

The train is more reliable.

Step-by-step explanation:

The train is more reliable. The bus is on-time 87.5% of the time, while the train is on-time 90% of the time.

There are 244 seventh grade students. The number of students enrolled in P.E. Is 8 fewer than three times the number of students enrolled in health

Answers

Answer:

No. of students enrolled in Health = 63

No. of students enrolled in P.E. = 181

Step-by-step explanation:

Given,

Total students in grade seven = 244 students

A.T.Q.

Let the number of students enrolled in Health be x

so, The number of students enrolled in P.E. = 3x - 8

As we know,

x + (3x - 8) = 244

4x = 244 + 8

x = 252/4

x = 63

Thus, the number of students enrolled in Health = 63

The number of students enrolled in P.E. = 3x - 8

= 3 * 63 - 8

= 189 - 8

= 181 students

Which correctly describes this rotation?
A. a counterclockwise rotation of 30° about point A
B. a counterclockwise rotation of 45° about point A
c. a counterclockwise rotation of 90° about point A
D. a counterclockwise rotation of 180° about point A

Answers

A counterclockwise rotation of 180 about point A

Simplify w x 12 x 3
Helppp

Answers

Answer:-x • (w2 - 12)

 ——————————————

       3w      

Convert:
35 pounds, 24 ounces=_ ounces​

Answers

Answer:

Step-by-step explanation:

1 pound = 16 ounces

35 pounds = 560 ounces + 24 ounce = 584ounces

35 pounds,24ounces = 16 ounces

Paul uses a coordinate plane to design his model town layout. Paul moves the market 2 units left and 3 units down. He says the ordered pair for the new location of the market is (0, 6). Explain Paul's mistake and write the correct ordered pair for the new location of the market.

Answers

Answer:

(1,5) because, before it was at (3,8) and  

3 – 2 = 1      

8 – 3 = 5

For further explanation:

(3,8) / (2,3) = (1,5)

2 for 2 units left and 3 for 3 units down

Please i need help. Thank you!

Answers

the answer is C i think

Mrs, carp's class has 11 boys and 17 girls. what is the probability that she will randomly chose a girl first and then a boy?

Possible answers ⇒
0.18
0.24
0.33
0.48

WILL GIVE BRAINLIST

Answers

the answer is 0.18, because if you add 11 and 9 you get 20. which means there is 20 total students in the class. the probability of choosing a girl would be 9/20 The probability of choosing the 2nd girl = number of remaining girls / number of all students minus the chosen girl = 8/19
Then , the probability of choosing two girls is :
The probability of choosing 2 girls = 9/20 * 8 /19
= 72/380
= 18/ 95
then the probability of choosing 2 girls is 18/95 so the answer is 0.18

6 STUP1D QUESTIONS FOR 100 POINTS

1. Why do British people never sound British when they sing?

2. Why do they call it 'head over heels in love if our head is always over our heels?

3. Can a hearse driver drive a corpse in the carpool lane?

4. Why is the name of the phobia for the fear of long words Hippopotomonstrosesquippedaliophobia?

5. If someone can't see, they're blind and if someone can't hear, they're deaf, so what do you call people who can't smell?

6. How do they get those boats in those glass bottles?

Answers

How do they get the cream inside of twinkies

4/5 divided by 2/7 in simplest form

Answers

Answer:

2 4/5

Step-by-step explanation:

4/5 divided by 2/7 is 2.8. 2.8 in the form of a fraction is 2 4/5.

The fraction 4/5 divided by 2/7 in the simplest form, is 14/5.

Given that, (4/5) divided by (2/7).

To divide fractions, multiply the first fraction by the reciprocal of the second fraction

Let a, b, c and d be real numbers. Divide a fraction (a/b) by another fraction (c/d), we can multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, the reciprocal of (c/d) is (d/c).

To divide (a/b) by (c/d), multiply the first fraction by the reciprocal of the second fraction:

(a/b) ÷ (c/d) = (a/b) x (d/c)

Multiplying the numerators and denominators:

(ad) / (bc)

Therefore, the result of (a/b) divided by (c/d) is (ad) / (bc).

To simplify this expression, and multiply the first fraction by the reciprocal of the second fraction:

(4/5) x (7/2)

Multiplying the numerators and denominators:

(4 x 7) / (5 x 2)

Simplifying the numerator and denominator:

28 / 10

To further simplify the fraction, and divide both the numerator and denominator by their greatest common divisor, which is 2:

28 ÷ 2 / 10 ÷ 2

This gives us:

14 / 5

Therefore, the fraction 4/5 divided by 2/7, in the simplest form, is 14/5.

Learn more about dividing fractions and simplifying fractions, click here:

https://brainly.com/question/10354322

#SPJ6

The marked price of a radio is Sh. 12600. If the shopkeeper can allow a discount of 15% on the marked price and still make a profit of 25%.At what price did the shopkeeper buy the radio?​

Answers

Answer:

13388

Step-by-step explanation:

12600 will be 100% so we want to get at what price its sold when there is a 15%dicount

So will minus 15% from the 100% of the Mp

100%-15%=85%

so if 100%=12600

what about 85%=?

we crossmultiply

85%×12600/100%=10710

so10710 is what the radio will be sold if a 15% dicount is given but we want to get wat price the shopkeeper got in that he made a profit of25%

so if 100%=10710

what about 125%

125%×10710/100%=13387.5 which is 13388/=

Anyone know this and if do pls help

Answers

70% of the trip length, t, is 35 miles. Find t:

0.70t = 35. Dividing both sides by 0.70, we get:

35

t = ----------- = 50

0.70

The total trip length is 50 miles.

50is the correct answer

what are some good editing apps i use alight motion and capcut

Answers

:))))))

Step-by-step explanation:

videochamp, picsart

Picsart , Inshot , Gandr , Photo lab and Viva video.


Question 1
Find mZN
620
K
N
Need help with this question?

Answers

Answer:

∠ N = 31°

Step-by-step explanation:

The inscribed angle KLN is half the measure of its intercepted arc KL, so

∠ N = [tex]\frac{1}{2}[/tex] × 62° = 31°

tony runs 3 miles in 25 minutes. at the same rate, how many miles would he run in 20 minutes?

Answers

Answer:

2.4

Step-by-step explanation:

3 / 28 = 0.12

(we do this to see how many miles he ran in a minute)

0.12 x 20 = 2.4

(then we multiply how many miles he can run in 20 minutes)

Help Me Please Quick Will Mark Brainliest if correct : - )

Answers

Answer:

y=2x+3

Step-by-step explanation:

Lets verify

[tex]\\ \sf\longmapsto -1=2(-2)+3=-4+3=-1[/tex]

[tex]\\ \sf\longmapsto 1=2(-1)+3=-2+4=1[/tex]

Hence verified

Answer:

C): y = 2x + 3

Step-by-step explanation:

• when x is -2:

[tex]{ \tt{y = 2(- 2) + 3}} \\ { \tt{y = - 1}}[/tex]

• when x is -1:

[tex]{ \tt{y = 2( - 1) + 3}} \\ { \tt{y = 1}}[/tex]

• since y holds for -2 and -1, it'll hold for other positive integers.

5326781902938w7467281p9983746t5edsnhm,kwleor897tdbn

Answers

Answer:

huhhhhh ?????// thanks for the points but what words did u mean to say /???//

Step-by-step explanation:

Kyle is building a model out of cardboard, as shown below. He needs to construct the top and sides of each section of the model but not the bottom. How many surfaces will Kyle need to find the area of in order to determine how much cardboard he will need? A. 17 B. 14 C. 8 D. 3

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer: its B i did the quiz lol

Step-by-step explanation:

I'm begging you please please help please please ASAP please please help please please ASAP please please help please please ASAP please please help please please ASAP

Answers

Answer:

15

Step-by-step explanation:

the height of the person is y = 6 and the distance from the ladder is also 6 = x. To find the angle formed by the ladder we use [tex]arctan(\frac{y}{x})[/tex] which in this case is

[tex]arctan\frac{6}{6} = arctan(1)\\= 45 degrees[/tex]

now we know that the person is 9 feet away from wall and 6 feet away from the ladder so the total x distance is 9+6 = 15 = x

to find y we use tan(45) = [tex]\frac{y}{x}[/tex]

multiply both sides by x = 15 and simplify to get y = 15

i need help. what’s the answer to this .

Answers

Answer:

12

Step-by-step explanation:

I know bc i did this before

Answer:

72 unit cubes (72 units³)

Step-by-step explanation:

[tex]6\times3\times4=72[/tex]

HELP PLS MARKING BRAINLIEST SHOW WORK IF YOU CAN IF NOT ITS COMPLETELY FINE JUST DO IT

Answers

Answer:

1824 in.

Step-by-step explanation:

First find the area of the two shapes you split that are the rectangle and triangle:

Rectangle Area:

48 * 32 = 1536

Area- 1536 in.

Triangle Area:

48 * 12 * 1/2

       or

48 * 12 divided by 2

= 288 in.

Now add the two areas up:

1536 + 288 = 1824 in.

Answer:

1824

Step-by-step explanation:

I assume you want to find the area of the shape. So in order to find the area of the triangle it is height times base than divide it by 2 which looks like this

(12*48)/2 which equals 576

than to find the area of the rectangle it is height times width which is

48*32 which equals 1536

add them together and you get 1824

Which angle is congruent to <4 <1<2<5<8

Answers

Answer:

The angle that will be congruent to angle 4 is :

                             Angle 1

Step-by-step explanation:

It is given that:

angle 4 and angle 5 are complements.

Also, angle 1 and angle 5 are complements.

Congruent complementary Theorem--

It states that if two angles are complementary to the same angle, then the two angles are congruent to each other.

Here both angle 1 and angle 4 are complementary to the same angle i.e. angle 5.

Two angles are supplementary. One angle measures 132 degrees. Find the measure of the other angle.

Answers

Answer:

48 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

If one angle is 132 degrees, the other must be 48 degrees.

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