The function f(x) = -5x2 + 13x + 6 represents the height, in meters, of a
coin x seconds after it is thrown into the air. What is the maximum
height of the coin?
A 6.25 meters
B. 12 meters
C. 14 meters
D. 14.45 meters
HELPPPPPPP

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Differentiate the function and set it to zero:

f'(x) = -10x + 13

0 = -10x + 13

x = 1.3 seconds

Plug the x value into f(x):

f(1.3) = -5(1.3)^2 + 13(1.3) + 6 = 14.45 meters


Related Questions

Calculate the surface area of a cylinder that is 12 mm tall and has a radius of 2 mm. Use 3.14 for π and just enter the number, not the unit.

Answers

SA= 2pieRH + 2pieR^2
= 2(3.14)(2)(12) + 2(3.14)(2^2)
= 175.84

Answer:

Below in bold.

Step-by-step explanation:

Surface area

= 2pi r h + 2 pi r^2

=  2 * 3.14 * 12 +  2* 3.14 * 2^2

= 100.48.

I need answer ASAP
No links please

Answers

Answer:

Step-by-step explanation:

let l be length of string.

Then 70/l=sin 40

l=70/sin 40 ≈108.9 ft

Help me please will give brainleist

Answers

Answer:

sound travels fastest in solids

Step-by-step explanation:

the particles are more close together therefore the sound can travel faster :D

Answer:

sound travels faster in solids than gases

Step-by-step explanation:

so we can see the bigger of a difference between air and a piece of glass. so "empty space" is out because the glass one is faster, the third option is a choice but sound can't travel in space so its not an op6

Two sets of data are shown.
Data Set A: 24, 11, 26, 14, 24, 14, 24, 11, 23
Data Sot B. 24, 19, 18, 16, 30, 27, 30, 12, 22
8
Choose the phrase that would make the statement true.
The mean of Data Set A is
the mean of Data Set B.
equal to
2 less than
4 less than
1 more than
3 more than
5 more than
1 less than
3 less than
5 less than
2 more than
4 more than

Answers

Answer:less than.

Step-by-step explanation: it less than something.

I don’t know how to do this problem if someone could help it would be much appreciated!

9 + 2 − 10 = 1 − 10

Answers

Step-by-step explanation:

9 + 2 − 10 = 1 − 10

11 - 10 = -9

1 = -9

Answer:

1 = -9

Step-by-step explanation:

First part: 9+2 = 11 - 10 =1

Second Part: 1 - 10 = -9

So basically you just get 1 = -9

Answer:

1 = -9

A migrating bird flies 539 miles in 11 hours. How many miles does it fly in 3 ​hours?

Answers

it would fly 147 miles in 3 hours
It will fly 147 miles in three hours

Select the correct answer from each drop-down menu.
Elena’s backyard is in the shape of a rectangle. She created a triangular-shaped flower bed (shown as the shaded region) to plant flowers in.



The area of the triangular flower bed is square feet. The area of her backyard that does not include the flower bed is square feet.

Answers

Answer:

b

Step-by-step explanation:

iS THE ANSWER

Area of background without flower bed = 575 feet²

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that:

Length of rectangle ground = 35 feet

Width of rectangle ground = 20 feet

Height of triangle bed = 10 feet

Base of triangle bed = 25 feet

Now, We can formulate;

Area of background without flower bed = Area of rectangle - Area of triangle

Hence, Area of background without flower bed = [l x b] - (1/2)(b)(h)

Area of background without flower bed = [35 x 20] - (1/2)(25)(10)

Area of background without flower bed = 700 - 125

Area of background without flower bed = 575 feet²

Thus, Area of background without flower bed = 575 feet²

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A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is shown surrounding a spherical object labeled, moon. The moon is a sphere with radius of 1000 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 953 km to 466 km.

Answers

Answer:

The correct equation will be "[tex]\frac{x^2}{(1466)^2} +\frac{y^2}{(1953)^2} =1[/tex]".

Step-by-step explanation:

In the above question, the figure is missing. Please find below the attachment of the figure.

According to the question,

Radius of a moon,

r = 1000 km

The max. distance from moon's surface to the satellite,

a = 953 km

The min. distance from moon's surface to the satellite,

b = 466 km

Now,

As per the question or the diagram,

⇒ [tex]a_1=a+r[/tex]

        [tex]=953+1000[/tex]

        [tex]=1953 \ km[/tex]

⇒ [tex]b_1=b+r[/tex]

        [tex]=466+1000[/tex]

        [tex]=1466 \ km[/tex]

hence,

The equation of ellipse will be:

⇒ [tex]\frac{x^2}{b_1^2} +\frac{y^2}{a_1^2} =1[/tex]

On substituting all the values, we get

⇒ [tex]\frac{x^2}{(1466)^2} +\frac{y^2}{(1953)^2} =1[/tex]          

Janessa is playing a board game with two friends. Using a single die, one friend rolled a four, and the other friend rolled a three. Janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning.

Is the probability of Janessa winning an independent event or dependent event? Why?

O) Her probability of winning is an independent event because it depends on the results of her friends’ rolls.

O) Her probability of winning a dependent event because it does not depend on the results of her friends’ rolls.

O) Her probability of winning is an independent event because it does not depend on the results of her friends’ rolls.

O) Her probability of winning is a dependent event because it depends on the results of her friends’ rolls.

Answers

B) her probability of winning is a dependent event because it does not depend on the results of her friends’ rolls.

If Mary Alice buys the car for $35,000 and pays 20% down, how much will she finance? If she finances this balance for 6 years at the special rate of 0.9% add-on interest, how much will her monthly payments be? What is the total cost of the car if she finances it

Answers

Answer:monthly is 598.90 total is 43120

Step-by-step explanation:

Find the maximum value |r| and any zeros of r. r=20-20 sin theta

Answers

Answer: r=0

Step-by-step explanation: Hope this help :D

What is the probability that a point randomly chosen in the large triangle is also in Region A?


The grid ranges from 0 to 16 on the horizontal axis and from 0 to 12 on the vertical axis. A polygon with vertices at begin ordered pair 0 comma 0 end ordered pair comma begin ordered pair 0 comma 10 end ordered pair and begin ordered pair 14 comma 0 end ordered pair. The polygon is subdivided into 2 regions. Region A is a trapezoid with vertices at begin ordered pair 0 comma 0 end ordered pair comma begin ordered pair 0 comma 10 end ordered pair comma begin ordered pair 7 comma 5 end ordered pair and begin ordered pair 7 comma 0 end ordered pair. Region B is a triangle with vertices at begin ordered pair 7 comma 0 end ordered pair comma begin ordered pair 7 comma 5 end ordered pair and begin ordered pair 14 comma 0 end ordered pair.


37.5%


62.5%


70%


75%

Answers

Answer:

75

Step-by-step explanation:

The probability that a point randomly chosen in the large triangle is also in Region A will be 11/36.

What is probability?

Probability of an event is the ratio of number of favorable outcomes to the total number of outcomes.

Probability is a measure of how likely an event is going to happen.

Given is to find the probability that a point randomly chosen in the large triangle is also in Region A.

We can find the area of region A as -

Area{A} = A{Rectangle} + A{Right triangle}

Area{A} = (Length x Breadth) + (1/2 x base x height)

Area{A} = (5 x 2) + (1/2 x 1 x 2)

Area{A} = 10 + 1

Area{A} = 11 square units

Total area of the region {A + B} as -

Total Area{A + B} = 11 + (1/2 x 10 x 5)

Total Area{A + B} = 11 + 25

Total Area{A + B} = 36 square units

The probability that a point randomly chosen in the large triangle is also in Region A will be -

P{A} = (Area{A}/Total Area{A + B})

P(A) = 11/36

Therefore, the probability that a point randomly chosen in the large triangle is also in Region A will be 11/36.

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HELP ME I DONT KNOW HOW TO DO IT
If the wholesale price of an item is $250 and the markup is 20%, find the retail price of the item.

Answers

Answer:

250

Step-by-step explanation:

Answer:

300 i think

Step-by-step explanation:

Mind helping a friend
will mark brianlist

Answers

Answer:

b, d, f

Step-by-step explanation:

pls help me i will make u brainest

Lara is playing a video game where she hunts for treasure, like these gems:


A sapphire is worth 5 gold coins, and a ruby is worth 8 gold coins.

On her last hunt, Lara found 17 gems, all either rubies or sapphires, and sold them for 100 coins. How many sapphires did she find?

Answers

Answer:

12 sapphires

Step-by-step explanation:

Let's call the number of sapphires x. This means the number of rubies is the total number of gems minus x, or 17-x.

# of Sapphires: x

# of Rubies:17-x

A sapphire is worth 5 (gold coins) each, and a ruby is worth 8.

We also know the total amount of money is 100 coins, so

5*x+8*(17-x)=100

5x+136-8x=100

-3x=-36

x=12

Remember:

# of Sapphires: x

# of Rubies:17-x

...so Lara found 12 sapphires and 17-12=5 rubies.

The number 5 becaus eid the cold and yea no

Solve for x for the linear pairs.

Answers

Answer:

X = 13

Step-by-step explanation:

Since this is a linear pair, it equals to 180 degrees.

7x + 37 + 4x = 180

11x + 37 = 180

-37 -37

11x = 143

11x/11 = 143/11

x = 13

Good luck on your form!

Joe solved this problem on a math test. 5/6 - 1/4 = 7/8

Answers

Answer:

This is incorrect, the correct answer is 7/12

Step-by-step explanation:

Complete the table and estimate the limit

Answers

Answer:

[tex]\lim_{x \to 0} \frac{\sqrt{x+5}-\sqrt{5} }{x} =\frac{\sqrt{5}}{10}[/tex]

Step-by-step explanation:

If x=-0.1, then f(x)=0.2247361538

If x=-0.01, then f(x)=0.2237187131

If x=-0.001, then f(x)=0.2236179792

If x=0.001, then f(x)=0.2235956185

If x=0.01, then f(x)=0.223495106

If x=0.1, then f(x)=0.2224998063

We can see that as x approaches 0, we see that f(x) gets closer to √5/10

Therefore, [tex]\lim_{x \to 0} \frac{\sqrt{x+5}-\sqrt{5} }{x} =\frac{\sqrt{5}}{10}[/tex]

ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!

Answers

I think you should divide the 20 by the 5

En una fábrica automovilística una máquina pone en total 15,000 tornillos en las 8 horas de jornada laboral funcionando de forma ininterrumpida. ¿Cuántos tornillos pondrá en 3 horas?

Answers

Answer:

120

Step-by-step explanation:

Which equation has a solution of x = 9?
O 11 - 2x = 29
O 3x + 2 = 25
O4 + 5x = 18
O 2x - 3 = 15


Answers

Answer: 2x-3=15

2(9)-3=15
18-3=15

Jadan has a drawer of different colored t-shirts. He has 4 white t-shirts, 5 black t-shirts, 3 red t-shirts and 2 blue t-shirts. He is going out of town and is in need of 2 t-shirts. What is the probability that he will randomly choose a white t-shirt without replacement and then choose a blue t-shirt?

Answers

Answer:

It's a lower probability

Because he needs to take from white and black

Answer:

it would be a lower probibitity

Step-by-step explanation:

4.
You randomly select three marbles from jar that contains 23 black
marbles, 32 blue marbles and 8 white marbles.
What is the probability that the first marble is blue, the second marble
is black and the last marble is not blue if you do not replace the first
and second marbles? Enter your answer as a decimal rounded to the
nearest thousandth.
Marble, blue marble first time, red marbles second time, white marble

Answers

Answer: 0.093 chance

Step-by-step explanation:

23 black + 32 blue + 8 white = 63 total

FIRST MARBLE IS BLUE:

32/63

SECOND MARBLE IS BLACK:

23/62

LAST MARBLE IS NOT BLUE:

30/61

MATH:

32/63*23/62*31/61 = 0.093

sorry if it’s wrong but I think it’s right

Answer:

.093

Step-by-step explanation:

There are 63 marbles in the jar

P(pick a blue) = 32/63

Since you are not replacing that marble, so there are 62 marbles in the jar, 31 blue, 23 black, 8 white

P(pick a black) = 23/62

Now there are 61 marbles in the jar. 22 black, 31 blue and 8 white

P(not a blue) = 30/61

P(blue, black, not blue) = (32/63)(23/62)(30/61)

                                      = .093

Find the mean, median, and mode(s) of the data with and without the outlier.

45, 52, 17, 63, 57, 42, 54, 58

Answers

Answer:

Mean = 48.5, Median = 53, Mode = nothing, Outlier = 17

Step-by-step explanation:

Mean: Add all the numbers (388) then divide by how many numbers (8) are there. (= 48.5)

Median: Is the middle number () so you have to order them from least to greatest (17, 42, 45, 52, 54, 57, 58, 63) and then just keep marking them off left, right, left, right... until you get to the middle. But since there are two numbers (52, 54) you have to add them (106) then you divide by 2 (53).

Mode: Is the number that shows up the most. In this case none of them do.

Outlier: The number that is farthest from the other numbers (17).

The mean, median, and mode(s) of the data Without outlier Mean is 51

Median is 53 and Mode is None

To find the mean, median, and mode(s) of the data, we can start by arranging the numbers in order from smallest to largest:

17, 42, 45, 52, 54, 57, 58, 63

The mean is the sum of all the numbers divided by the total number of numbers.

If we remove the outlier (17), the data set becomes:

42, 45, 52, 54, 57, 58, 63

Mean:

Mean = (42 + 45 + 52 + 54 + 57 + 58 + 63) / 7 = 51

Median:

Median = (52 + 54) / 2 = 53

There is no mode in this set since no number appears more than once.

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Riley is saving up to buy a new television. She needs a total of $1,239.02. Riley has saved $200.58 already and earns $79.88 per
week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
A.12
В.14

C.13

D.11

Answers

Answer:

13

Step-by-step explanation:

Please mark brainliest

$1,239.02 - $200.58 = $1038.44

$ 1,038.44 / $79.88 = 13

Riley needs to work 13 wks to make

$1,038.44 which with her already

saved $200.58 will make it a total of $1,239.02

i need help on this lol

Answers

Answer:

D

Step-by-step explanation:

Its the lowest number so it's that one

(brainliest pls?)

A survey of 300 people found that 30 of them likes hip-hop music. What percent of the people in the survey likes hip-hop music? Right answer gets brainliest!!

Answers

Answer:

10%

Step-by-step explanation:

30/300 people like hip-hop

So, 1/10 or 10% like hip-hop

Answer: 10%

Step-by-step explanation: 30% out of 300% is like 10% out 100%

STAY OFF MY QUESTIONS OBI-WAN!!!

Answers

number 3 is the answer for number 1

number 2 is the answer for number 2

i thought i was the only one

Plz plz help 10pts
what is the answer

Answers

Answer:

$8030

Step-by-step explanation:

Answer:

Step-by-step explanation:

tuition for one year = 9,890

tuition for 2 years = 9,890 x 2 = 19,780

her savings:

8,350 + 3,400 = 11,750

what she needs?:

19,780

-11,750

= 8,030

so she needs 8,030

How many combinations of 3 playing cards (from a 52-card deck) exist?

Answers

Answer:

22,100

Step-by-step explanation:

pls trust me i just took the test

The number of combination of 3 playing cards from 52 card deck is 22100.

What is Combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

Here, total cards = 52

         cards to be selected = 3

So, total possible combination = ⁵²C₃

                                                    = (52 X 51 X 50) / (3 X 2 X 1)

                                                   = 22100

Thus, the number of combination of 3 playing cards from 52 card deck is 22100.

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divide 103.2 tonnes in the ratio 5:3 First Fiddler's Bank has foreclosed on a home mortgage and is selling the house at auction. There are three bidders for the house, Ernie and Betsy. First Fiddler's does not know the willingness to pay of these three bidders for the house, but on the basis of its previous experience, the bank believes that each of these bidders has a probability of 1/3 of valuing it at $700, 00 a probability of 1/3 of valuing at $400, 000, and a probability of 1/3 of valuing it at $300, 000. First Fiddler's believes that these probabilities are independent among buyers, and that Ernie and Betsy are rational bidders. If First Fiddler's sells the house by means of a second-price, sealed-bid auction (Vickrey auction), what will be the bank's expected revenue from the sale? (Choose the closest option.) A) $466, 667 B) $400, 000 C) $300, 000 D) $420, 000 E) $377, 778 How to write a good introduction for a speech in English What impact did the discovery of oil in the early 1900s have on the economy of Louisiana The Constitution was drafted in 1787, after the American Revolution ended. What document preceded the Constitution in outlining the powers of the US government?the Declaration of Independencethe Articles of Confederationthe Bill of Rightsthe Two Treatises of Government What is the domain of the following relation? {(-3, -8), (-2, 9), (1, -1), (5, 3)} Les exercices1. Mettez les verbes l'impratif :b.a.se raserTu venievenirnous venousyous Venierd.ne pas savoirC.ne pas se lavervingt-sept 27 If all of the diagonals are drawn from a vertex of a quadrilateral, how many triangles are formed?12304 World war ll 1939- 1945 graphic organizer please help What did Peisistratus contribute toAthens? List three different regions of Puerto Rico, and tell how people earn a living in each one. Which selection from an expository essay is most likely a concluding sentence? A. One reason to adopt animals from a shelter is that it is an affordable option B. Animal breeders, on the other hand, charge high fees to make as much profit as possible. C. Shelters normally charge only a small adoption fee in addition to medical costs. D. So, pet owners can save hundreds of dollars by adopting from animal shelters. SUBMIT E PREVIOUS PLS HELP !!! GIVING OUT BRAINLIEST ANSWER !! PLS HELP ASAP Which of the following best describes the scramble for Africa What is the possible number of turns for a square Which tool did mining companies use to produce gold on a large scale? *A. rock-crushing millB. sluiceC. flat panD. mechanical reaper HelppppA major goal of the immigration acts of the 1920s was to...?A.allow unlimited immigration from Southeast AsiaB.Assure equal numbers of immigrants from all nationsC.Favor wealthy and well-educated immigrantsD.Use quotas to limit immigration from southern and eastern Europe What were the immediate effects of the treaty of versatilles on the German economy Henrietta did an experiment. She started out with 800 bacteria cells. She found that the growth rate of the bacteria cells was 3.2%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 35 h from the time Henrietta started the experiment. I need help asap please Determine the genotype of the offspring that belongs in the box with the question mark (?)PLZZZ ANSWER ILL GIVE 30 PTS AND BRAINLIEST