The height in feet (h) of the ball t seconds after it is released can
be modeled using the formula: – 16t^2 + 10t + 6 = h
Find the time, in seconds, passed before the ball hits the ground
(let h = 0).*
*PLEASE SHOW WORKK

Answers

Answer 1

Step-by-step explanation:

h = -16t² + 10t + 6

When h = 0, -16t² + 10t + 6 = 0.

=> -8t² + 5t + 3 = 0

=> (-8t - 3)(t - 1) = 0

=> t = 1 or t = -3/8 (rejected as time cannot be negative)

Hence 1 second passed before the ball hits the ground.


Related Questions

While President, Obama received an average of 60, 000 letters per week at the White House.
Approximately how many letters does he receive in a day?

Answers

Answer:

8571 letters per day

Step-by-step explanation:

60,000/1 week is the same as 60,000/7 days so

60,000/7 = 8571.428571

is aproximately 8571 letters per day

If it takes 3 gallons of gas to go 60 miles, how many gallons of gas does it take to go 440 miles at the same rate?

Answers

Answer:

it would take 22 gallons of gas

Step-by-step explanation:

3 divided by 60

that’s the amount of gas per single mile

then that number times 440 (number of miles you wish to go).

How do you rotate triangle A",B",C" 270 degrees around the origin. coordinates A" (-1,1), B"(1,-2) and C"(0,-4)

Answers

9514 1404 393

Answer:

  rotated vertices are (1, 1), (-2, -1), (-4, 0)

Step-by-step explanation:

When the rotation direction is not specified, it is usually taken to be counterclockwise. Rotation 270° CCW is the same as rotation 90° CW. The transformation of coordinates is ...

  (x, y) ⇒ (y, -x)

Then your rotated points become ...

  A(-1, 1) ⇒ A'(1, 1)

  B(1, -2) ⇒ B'(-2, -1)

  C(0, -4) ⇒ C'(-4, 0)

_____

In the attached, the rotated triangle is shown in red. As an example, the arc through which point C is rotated is shown.

how many men have a waist measurement of more than 85cm

Answers

Answer:

29

Step-by-step explanation:

The answer is 29 hope this helps you! :)

How many 1/2 yard lengths are in 1 yard

Answers

Answer:

1/2 yard is equal to 18 inches

Step-by-step explanation:

True or false
2+(-2) is equal to zero.

Answers

Answer:

It is TRUE.

Other:

Brainliest? Thanks!

Levante changes 24 650 Hungarian forints to dollars.
The exchange rate is $1 = 290 forints.

Calculate how many dollars Levante receives.
Someone helpppppp

Answers

24650 divided by 290 is 85.
There for it is $85

The relation between the dollars and forints will be directly proportional. Then the number of dollars will be $ 85.

What are ratio and proportion?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

Levante changes 24 650 Hungarian forints to dollars.

Then the relation between the dollars and forints will be directly proportional. Then we have

Let x be the number of the dollars. Then we have

x / 1 = 24650 / 290

    x = $ 85

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Find all the real square roots of -49

Answers

Answer:

-7

Step-by-step explanation:

Answer:

7i

Step-by-step explanation:

the square root of 49 is 7

i equals -1

7 squared times -1 equals -49

xoxo,your highness...

Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4), B(-1,-4), C(-1,-12), D(7, -12)

a. rhombus c. square, rectangle, rhombus
b. square d. rectangle

Answers

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

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

Using distance formula, we get

[tex]AB=\sqrt{(-4-(-4))^2+(-1-7)^2}[/tex]

[tex]AB=\sqrt{(-4+4)^2+(-8)^2}[/tex]

[tex]AB=\sqrt{0+64}[/tex]

[tex]AB=8[/tex]

Similarly,

[tex]BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8[/tex]

[tex]CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8[/tex]

[tex]AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8[/tex]

All sides of parallelogram are equal.

[tex]AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}[/tex]

[tex]BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}[/tex]

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

Suppose a country's population at any time t grows in accordance with the rule dP dt = kP + I where P denotes the population at any time t, k is a positive constant reflecting the natural growth rate of the population, and I is a constant giving the (constant) rate of immigration into the country. If the total population of the country at time t = 0 is P0, find an expression for the population at any time t.

Answers

Answer:

[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]

Step-by-step explanation:

Given that:

A country population at any given time (t) is:

[tex]\dfrac{dP}{dt}= kP+I[/tex]

where;

P = population at any time t

k = positive constant

I = constant rate of immigration into the country.

Using the method of separation of the variable;

[tex]\dfrac{dP}{kP+1}= dt[/tex]

Taking integration on both sides:

[tex]\int \dfrac{dP}{kP+I}= \int \ dt[/tex]

[tex]\dfrac{1}{k} log (kP + I) = t+c_1 \ \ \ here: c_1 = constant \ of \ integration[/tex]

[tex]log (kP + I) =k t+kc_1[/tex]

By applying the exponential on both sides;

[tex]e^{log (kP + I) }=e^{k t+kc_1 }[/tex]

[tex]KP+I = e^{kt} *e^{kc_1}[/tex]

Assume [tex]e^{kc_1 }= C[/tex]

Then:

[tex]kP + I = Ce^{kt}[/tex]

[tex]kP = Ce^{kt}-I[/tex]

[tex]P =\dfrac{ Ce^{kt}-I}{k} \ \ \---- Let \ that \ be \ equation \ (1)[/tex]

When time t = 0, The Total population of the country is also [tex]P_o[/tex]

[tex]P_o = \dfrac{Ce^{0(t)} -I}{k}[/tex]

[tex]P_o = \dfrac{Ce^{0} -I}{k}[/tex]

[tex]P_o = \dfrac{C-I}{k}[/tex]

C - I = kP₀

C =  kP₀ + I

Substituting the value of C back into equation(1), we have:

[tex]P =\dfrac{ (kP_o+1)e^{kt}-I}{k}[/tex]

[tex]P =\dfrac{ (kP_o+1)e^{kt}}{k} - \dfrac{I}{k}[/tex]

[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]

Louis is buying groceries and stops at the deli counter to purchase sliced Swiss cheese. The deli uses a scale like the one shown to calculate the weight and price of deli purchases.

Answers

What is the question? And there is no image of the scale.

what percent of 30 is 16.5..................................

Answers

The answer to your question is 55
55 percent is the answer

will give bralist HELP ME PLEASE

Answers

Answer:

It would be a I think

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

A circular tablecloth has a diameter of 6 feet,as show on the picture.



What is the area,in square feet,of the tablecloth.​

Answers

Nsnsnanannajakaabaatayqqjabwhwwkk

Simplify fractions
3\10
1/8

Answers

Answer:

Already simplified

Step-by-step explanation:

Answer:

Step-by-step explanation:

its preety simple you just have to divide 3/10 and 1/8 and you will get your two answers

How much simple interest would Kaitlin earn on $300 at 6% for 3 months?

A. 27

B. 9

C. 54

D. 18

Answers

Answer:

C) $54.00

Step-by-step explanation:

300*6%*3

300*0.06*3

which is $54.

Hope this helps plz hit the crown :D

The correct answer is C

A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and a standard deviation of 0.7 gallons. On a given day, 99.7% of the cows will produce an amount of milk within which of the following ranges?

Answers

Answer: 4.1 gallons to 8.3 gallons

Step-by-step explanation:

just took the quiz

99.7% of the cows will produce an amount of milk in the range is 5.5 gallons to 6.9 gallons option (A) is correct.

What is a normal distribution?

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

The missing options are:

A. 5.5 gallons to 6.9 gallonsB. 4.8 gallons to 7.6 gallonsC. 4.1 gallons to 8.3 gallonsD. 3.4 gallons to 9.0 gallons

We have:

A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and a standard deviation of 0.7 gallons.

The mean = 6.2 gallons

Standard deviation = 0.7 gallons

The range can be calculated:

Lower range = 6.2 - 0.7 = 5.5 gallons

Upper range = 6.2 + 0.7 = 6.9 gallons

Thus, 99.7% of the cows will produce an amount of milk in the range is 5.5 gallons to 6.9 gallons option (A) is correct.

Learn more about the normal distribution here:

brainly.com/question/12421652

#SPJ5

Which relation below is not a function

Answers

Answer:

its c i believe <3

one and two-thirds divided by 3

Answers

Answer:

5/9

Step-by-step explanation:

L.B Johnson middle miguel took part

Answers

Answer:

Johnson Middle School held a track and field event during the school year. Miguel took part in a four-person shot put team. Shot put is a track and field event where athletes throw (or "put") a heavy sphere, called a "shot," as far as possible.

Step-by-step explanation:

PLZZ MARK BRAINLIEST!!!!!

his answer yhhhhhhhh

Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened in the bank

Answers

Answer:

Step-by-step explanation:

False,true,true

Help I’ll mark you brainly! And give extra points!

Answers

Answer: I think #2 is either A or C

Step-by-step explanation: Hope it helped! :)

In a right-angled triangle
, one acute angle is 30°. Find the other acute angle
VII CLASS MATHEMATICS​

Answers

Answer:

60°

Step-by-step explanation:

sum of all angles is 180

and it's a right-angled triangle so there is angle = 90

so  the other acute angle = 180-30-90=60°

Answer:

60

Step-by-step explanation:

90+30= 120

180-120= 60

A principal purchased a total of 32 gas cards and movie passes for prizes. Each gas card cost $25.75, and each movie pass cost $7.25. If the principal spent a total of $454.00, how many gas cards did the principal purchase?

Answers

Answer: 12

Step-by-step explanation: 25.75a+7.25b=454

a+b=32

Find the measure of X

Answers

Answer:

For the first one =5.29150262

Step-by-step explanation:

8 squared - 6 squared =64-36=28

square root of 28=5.29150262

HELP!!!! 2 dot plots. Both number lines go from 0 to 10. Plot 1 is titled fifth grade. There are 2 dots above 1, 3 above 2, 1 above 3, 4 above 4, 5 above 5, 5 above 6, 2 above 7, 2 above 8, 0 above 9, 0 above 10. Plot 2 is titled seventh grade. There are 2 dots above 0, 2 above 1, 3 above 2, 5 above 3, 5 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 above 8, 9, and 10.
The dot plot shows the number of hours, to the nearest hour, that a sample of 5th graders and 7th graders spend watching television each week. What are the mean and median?

The 5th-grade mean is
.

The 7th-grade mean is
.

The 5th-grade median is
.

The 7th-grade median is
.

Answers

Answer:

5th grade mean - 4.67

7th grade mean - 3.46

5th-grade median - 5

7th-grade median - 3.5

Help with this problem!!!!



X/2-3=9

Answers

Answer:

pretty sure it's

2

3

=

9

\frac{X}{2}-3=9

2X−3=9

2

3

+

3

=

9

+

3

backpacks originally cost $24 but if 40% back to school sale is going on determine the sale price of the backpack.

I need help right now
Really Important!!!!!!!​

Answers

Answer: The price is now 14.40

Step-by-step explanation: The difference is 9.60

Find the mean, median, and mode of the data set 8 2 7 2 6 5 ​

Answers

Answer:

Mean is 6, median 5.5, mode 2

Step-by-step

Answer:

mean=8+2+7+2+6+5

=30

30÷6=5

note: divide the total with it's sum.

median=7+2

=9

9÷2= 4.5

note: median is the middle no. since there is no middle no. so just add those two no. and divide it by 2.

mode= 2

since it occurs twice

There are six doors in a hostel .In how many ways a student enters the hostel and leave by different door

Answers

Answer:

5 times

Step-by-step explanation:

Because he enters through the front door.

Other Questions
Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets. Manny would like a mixture of 60 detergent and 40% water in a 5 gallon buckets. To make this he combined some 80/20 mixture with some pure water in each 5 gallon bucket. How much gallons of pure water does Manny add to each 5 gallon bucket. The actual Mount Rushmore carving was made from a scale model with a scale of 1 inch = 1 foot. On the model, Teddy Roosevelt's mustache was 1 foot by 8 inches long. What is the length of Teddy Roosevelt's mustache on the monument? Traditional motif please I have limited time right now. Someone should help please like if you agree pls Find a quote from chapter three that foreshadows Ponyboyand Johnny's experience in the burning church. Helppppppppppppppppppppp assppp Write t command forms to complete each sentence. Use verbs from the list.hacer lavar poner sacarE-1) ______la basura!E-2) _____el coche!E-3) _____la mesa!E-4) ______ la cama! Why are the trees our heritages? Identify the choice that best answers the question.26. Which of the following is a prepositional phrase? Choose two thatapply.a. into the garageb. to be cautiousc. within thehoused. most novelpointe. loud and shrill The following is an example of what type of sequence? 3, 11, 19, 27, 35...a geometricC. ratiob. arithmeticddifference 40. Explain four factors which influence winddirection and speed. Pls help me ASAP I have other homework to do and I dont have time for this. It also detects if its right or wrong:( Jeremy wants to borrow $100 from his brother. His brother agreed butsaid he would add a 15% annual interest rate on. Jeremy will be able to pay him back in 10 months. How much interest will he have to pay his brother? $12.50$1.25$125$13 When an object moves, where does the energy come from? If the producers of the ecosystem below make 14,000 units of energy. How much energy would be available to the very top trophic level? Select the correct answer. What argument does the author counter in this excerpt from Thomas Paine's Common Sense? I have heard it asserted by some, that as America has flourished under her former connection with Great Britain, the same connection is necessary towards her future happiness, and will always have the same effect. Nothing can be more fallacious than this kind of argument. We may as well assert that because a child has thrived upon milk, that it is never to have meat, or that the first twenty years of our lives is to become a precedent for the next twenty. A. Britain provides ample welfare to all her colonies, including America.B. The colonists do not benefit from their alliance with Britain. C. Britain does not provide adequate resources for the growing colonies in America.D. The colonies continue to depend on Britain for protection and governance. A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X1 5 median age in 2005, X2 5 number of 2005 bank- ruptcies per 1,000 people, X3 5 2004 federal expenditures per capita, and X4 5 2005 high school graduation percentage. (a) Write the fitted regression equation. (b) Interpret each coef- ficient. (c) Would the intercept seem to have meaning in this regression 4. WHEN YOU FOLLOW VEHICLES TOO CLOSELY AND ANOTHER DRIVERSUDDENLY CUTS IN FRONT OF YOU, WHAT SHOULD YOU DO?A. Swerve into the lane next to youB. Slam on your brakesC. Drive onto the shoulder of the roadD. Take your foot off the gos pedal Ahhff DF nfkemebebwjdbbdnsjwjxjdnddf Describe an active lifestyle when you are 60 yrs. old. Tell me of 5 activities that you could do and how and when you would do them.