A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h + -16t^2 + 80t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

Answers

Answer 1

Answer:

100feet

Step-by-step explanation:

Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;

v(t) = dh/dt = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32

t = 2.5secs

Substitute t = 2.5 into the height formula h = -16t^2 + 80t

h = -16(2.5)^2 + 80(2.5)

h = -100+200

h = 100feet

Hence  the maximum height the dolphin jumps is 100feet


Related Questions

Which ordered pair is a solution of 9(x – 2)2 – 4(y + 5)2 ≥ 36?

(2, –3.5)
(2, 5.5)
(–7.5, –5)
(1.5, –5)

Answers

Answer:

its c kiddos

Step-by-step explanation:

The required ordered pair for the solution of an equation  [tex]9(x - 2)^2 - 4(y + 5)^2\geq 36[/tex] is (-7.5,-5).

An ordered pair from the options is the solution of the equation [tex]9(x - 2)^2 - 4(y + 5)^2\geq 36[/tex] to be determined.

What is the ordered pair?

An ordered pair is defined as the coordinates when put into the equation giving the solution of the equation.

While plotting the curve of the given equation on the graph and also plotting the ordered pair on the graph. It is seen that points (2, –3.5), (2, 5.5), and (1.5, –5) lie on the unshaded portion. While ordered pair (-7.5, -5) lies on the shaded portion.

Thus, the required ordered pair for the solution of an equation  [tex]9(x - 2)^2 - 4(y + 5)^2\geq 36[/tex] is (-7.5,-5).

Learn more about the ordered pair here:
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99 times the sum of v and 9

Answers

Answer:

Step-by-step explanation:

99(v + 9) is all you need here.

80% of grade 8 students, that is, 60 students want a new ice-cream shop in the
cafeteria. The total number of grade 8 students are?

Answers

Answer:

48

Step-by-step explanation:

60 students X 80%=48

20% is 12 students

40% is 24 students

60% is 36 students

so on and so forth.

Answer:

48.

Step-by-step explanation:

.80 x 60 = 48

I have an hour to do this please help

Answers

Answer:

6

Step-by-step explanation:

27/9 =3

now 18/3

=6

Michelle counted 40 green cars and 20 silver cars in the parking lot. If
the number of green cars stays the same, how many more silver cars
would need to be added so the ratio of green cars to silver cars is 1 to 3?

Answers

Answer:

100 more silver cars

Step-by-step explanation:

Right now the ratio of silver cars to green cars is 20:40 or 1:2, but if you add a hundred more silvers cars the ratio would 120:40 or 3:1.

pls help 42−6×4(12)3=

Answers

Answer:

-822

Step-by-step explanation:

i just typed it in the calculator

but if you're doing it by hand, 1st multiply 4*12*3*6 and then subtract 42 from it

What is the area of the polygon given below

Answers

I think the answer is D

Ben wants to buy a new car stereo and he has already saved some money. He used this inequality to represent the amount he still has to save to be able to buy the stereo, where a represents the amount still left to save.


a + 212 greater-than-or-equal-to 365


If Ben saves $15 a week for the next 10 weeks, will he be able to buy the stereo and why?

Answers

Answer:

Since Ben would have $362, he won't be able to buy the stereo as he needs to have an amount greater than or equal to 365.

Step-by-step explanation:

First, you need to determine the amount that Ben would have after saving $15 for the next 10 weeks:

$15*10=$150

Now, the inequality indicates that the amount left to save plus 212 should be greater than or equal to 365, so you have to add up 212 plus the amount Ben will save in the next 10 weeks to be able to determine if he would be able to buy the stereo:

150+$212=$362

Since Ben would have $362, he won't be able to buy the stereo as he needs to have an amount greater than or equal to 365.

What is the surface area of a fear with a diameter of 2.7 inches? Use 3.14 for π

Answers

Answer:

22.8906 sq in

Step-by-step explanation:

SA of a sphere = 4 π [tex]r^{2}[/tex]

r = 2.7 / 2 = 1.35

4 x 3.14 x [tex]1.35^{2}[/tex] = 22.8906

plz answer fast today

Answers

Answer:

5 + 5 + 3 × 7

Step-by-step explanation:

Correct me if I'm wrong.

Which expression is equivalent to 1.5a + 2.4 (a + 0.5b) - 0.2b?
a. 3.9a + b
b. 2.5a + 0.7b
c. 3.9a + 0.3b
d. 2.5a + 0.3b + 2.4

Answers

a) 3.9a+b hope this helps

The answer is A, 3.9a + b

Step-by-step explanation:

youre welcome

PLZ HELP!!!!!!



What is the quotient ? 1 O 73 O 78

Answers

sorry im on my school computer so the picture is blocked :(

Answer:

A.) 1/7^8

Step-by-step explanation:

guy in the comments said it and i got it write, so this is for the people that cant see the comments.

help please I have no idea​

Answers

Answer:

There is nothing here to answer.

Step-by-step explanation:

What the question is asking you to do is

convert

[tex] \frac{20}{200} [/tex]

into a percentage.

First, we will divide the numerator and denominator by 2 to get the denominator to 100 , then from there, we can get the percentage value from the numerator.

[tex] \frac{20 \div 2}{200 \div 2} \\ = \frac{10}{100} [/tex]

From the fraction above, we can see that the 20 is 10% of 200 , from the numerator.

can someone check my answer make sure it's right, if it's wrong can you please explain thanks ❤️❤️​

Answers

Answer:

it is wrong

Step-by-step explanation:

the reason it is wrong is because I said so

Answer:

I am going to say no BECAUSE there are two y values, on the same point. For it to be linear it should only have one point per value. I think... good luck.

due soon! Please help :)

Answers

Answer:

Dining Hall = 24 square meters

Kitchen = 48 square meters

Together = 72 square meters

For which equation is s = 6 not the solution?

4 s = 24
9 - s = 4
s + 6 = 12
s - 4 = 2

Answers

Answer:

9 - s = 4

Step-by-step explanation:

9 - 6 is 3, not 4, so thats the answer!

The equation is s = 6 not the solution is 9 - s = 4.

What is the equation?

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

For which equation is s = 6 not the solution?

1. The solution of the equation 4 s = 24 is;

[tex]\rm4 s = 24\\\\s=\dfrac{24}{4}\\\\s=6[/tex]

2. The solution of the equation 9 - s = 4  is;

[tex]\rm 9 - s = 4\\\\s=9-4\\\\s=5[/tex]

3. The solution of the equation s + 6 = 12 is;

[tex]\rm s + 6 = 12\\\\s=12-6\\\\s=6[/tex]

4. The solution of the equation s - 4 = 2 is;

[tex]\rm s - 4 = 2\\\\s=2+4\\\\s=6[/tex]

Hence, the equation is s = 6 not the solution is 9 - s = 4.

Learn more about equation here;

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One customer purchases 8 bags of cat food and 2 bags of dog food. The total weight of the purchase is 44 pounds. Another customer purchases 5 bags of cat food and 2 bags of dog food. The total weight of the purchase is 35 pounds.

A. You write the following system of linear equations to represent this
situation. Is your answer correct?
8x + 2y = 44
5x + 2y = 35

B. Your answer for the next step is 13 79, x = which is incorrect. Explain
the error.

Answers

Answer:

answer is x=3 and y=10

Step-by-step explanation:

Forgot to isolate y and x and simplify

Find the Median of the following set of data. (Round to the
nearest tenths place.)
1,1,3,0, 7, 2,0, 3, 1, 6, 8, 1
PLEASE HELP ASAP

Answers

Answer:

12

Step-by-step explanation:

put the numbers in least to greatest. so that would be 0,0,1,1,1,1,2,3,3,6,7,8, then find the one or two. in this case it is two. the medians in the one in the middle

A flowerpot has a diameter of 15 centimeters. Which expression can be used to find its circumference, C, in centimeters?
A
C = 7.5 × π

B
C = 15 × π

C
C = 2 × 15 × π

D
C = 15 × 15 × π

Answers

The answer is C because the formula is 2 x pai x radius

In order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is

a. 22

b. 23

c. 60

d. 61

Answers

Answer:

c. 60

Step-by-step explanation:

Given

[tex]n = 61[/tex] --- sample

[tex]\bar x = 23[/tex]

Required

Determine the degrees of freedom (df)

This is calculated as:

[tex]df = n - 1[/tex]

[tex]df = 61 - 1[/tex]

[tex]df = 60[/tex]

A rectangle is 29 feet long and 7 feet long. What is the area of this rectangle? 203 ft² 143 ft² 107 ft² 72 ft²

Answers

Answer:

203 ft²

Step-by-step explanation:

We need to use multiplication for the answer of this.

29 × 7 = 203

so that means that the answer in feet is 203 ft²

good luck hope this helped

-cheesetoasty

Suppose that 5% of athletes at a certain university are using steroids or other
performance-enhancing drugs (PEDs). Unfortunately, the tests used to detect PEDs
aren't perfect. Suppose that 3% of athletes who are not using PEDs will test positive
and be accused of using PEDs. Meanwhile, 1% of athletes who are using PEDs will test
negative and escape detection. Calculate the probability that a randomly selected
athlete will test positive.

Answers

Answer:

There is a 8.11% of any randomly selected athlete to test positive.

Step-by-step explanation:

To make it easier, let's assume there are 100 athletes

5/100 have it

3/95 do not have it, but will test positive

1% of the 5 athletes who are using PEDs = 0.05%

This means that 4.95/100 will test positive

3/95 = 3.16%

(rounded, if you need a more precise answer, it's 3.1578947368421053)

3.16% + 4.95% = 8.11%

18
A fruit salad was prepared containing 100 g of
acerola cherries, 100 g of kiwifruit, 300 g of
pineapple, and 200 g of strawberries. What is the
total amount of vitamin C, in grams, that is
contained in the listed fruits?
A)0.7g
B)2.069g
C)700g
D)2069g

Answers

Answer to your question is going to be B

Show your work please

Answers

Answer:

B 2208cm squared

you follow this formula

A=2(wl+hl+hw)

w means width

l means length

h means height

input the numbers and you got your answer.

Hope this helped ;)

Answer:5760 cm2

Step-by-step explanation:length times width times height 12 times 12 is 144 and 144 times 40 is 5770 cm2

The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). View Available Hint(s) The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). 110.29 centimeters (43.42 inches) 5.63 centimeters (2.21 inches) 89.5 centimeters (35.24 inches) 1026 centimeters (403.92 inches)

Answers

Answer:

h = 403.92in or 1026cm

Step-by-step explanation:

Given

Let x represent the density of mercury, and y the density of water.

[tex]y = 13.5x[/tex]

[tex]Mercury\ barometer =76cm[/tex] or [tex]Mercury\ barometer =29.92in[/tex]

Required

Determine the height of the barometer

At standard atmospheric pressure, the relationship between the mercury barometer and the height (h) of the barometer is:

[tex]h = 13.5 * Mercury\ barometer[/tex]

In centimeters, we have:

[tex]h = 13.5 * 76cm[/tex]

[tex]h = 1026cm[/tex]

In inches, we have:

[tex]h = 13.5 * 29.92in[/tex]

[tex]h = 403.92in[/tex]

Find the correlation coefficient between x and y


X 57 58 59 59 60 61 62 64

Y 77 78 75 78 82 82 79 81

Answers

Answer:

0.603

Step-by-step explanation:

Given the data:

X 57 58 59 59 60 61 62 64

Y 77 78 75 78 82 82 79 81

The Correlation Coefficient, R value gives a measure of the degree of correlation between two variables, the dependent and independent variable. The correlation Coefficient value ranges from - 1 to 1. With negative values depicting a negative relationship and positive values meaning a positive relationship. The closer the R value is to + or - 1, the higher the strength of the relationship. With a value of 0 meaning 'no correlation'.

The correlation Coefficient value of the data above is 0.603, this gives a fairly strong positive correlation

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

since it is Right angled isosceles triangle it's base side are equal

by using Pythagoras law

x²+x²=1²

2x²=1

x=√{1/2}or 0.707 or 0.71

A quadrilateral has interior angles a, 112 degrees, 97 degrees, and 83 degrees. Find the missing angle measure in the quadrilateral. 83° + 97° + a° + 112° = 360° 292° + a° = 360° The measure of the missing angle is °.

Answers

Answer:

The missing angle is 68 degrees

Step-by-step explanation:

I got correct on this question but I wrote some of the numbers in a different order, is it okay if I wrote it in a different order on every question similar like this?

Answers

Answer:

yes and no....It depends if u got the answer correct then u got ur mark but if the teacher expects your answer a certain way then u might lose maybe just 1 mark but dont stress it looks good and u should get full marks

I think it’s b but I’m not sure but can somebody help me

Answers

Answer:

B

Step-by-step explanation:

The small triangle is half the size of the entire triangle. 27/2 = 13.5

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