Solve: A rock is thrown upward with an initial velocity of 16 ft/s from an initial height of 5 ft.
Write a quadratic function equation that describes the height h at time t.
Write this polynomial in standard form. ax2 + bx + c a≠ 0
Find the maximum height.
Be sure to answer the question using the correct units.
Write a quadratic function equation that describes the height h at time t.


h\left(t\right)=-16t^2+v_0t+h_0
h(t)=−16t
2
+v
0

t+h
0


Answers

Answer 1

Answer:

5t² - 16t + h =0

Step-by-step explanation:

During upward projection the final velocity is zero, and the gravitational acceleration is -10 m/s² (against the gravity).

Therefore; using the equation;

S = 1/2gt² + ut

Where s is the height h, g is gravitational acceleration, and t is the time and u is the initial velocity u, is 16 ft/s.

Thus; h= 1/2(-10)t² + 16t

We get; h = -5t² + 16t

Therefore; the quadratic equation is 5t² - 16t + h =0

Plz, mark me brainlest!!


Related Questions

4. The circumference of a circle is 11 pi inches.What is the area, in square inches, of the circle? Express your answer in terms of pi (π). *
5. The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does the bike travel
The picture is for 5

Answers

Answer:

Area of circle = π ⋅ ( Diameter 2 ) 2 = π ⋅ ( 11 2 ) 2 ≈ 95 sq in

Step-by-step explanation:

Circumference=π⋅DiameterDiameter=Circumferenceπ=11ππ=11inches

given,2πr=11π⇒r=112.

Hope this helps.

What is the length of RP?

Answers

Answer:

RP = 14

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(x+x+2) * (x+2) = (4+6)*4

Combine like terms

(2x+2)(x+2)=10*4

2(x+1)(x+2) = 40

Divide by 2

(x+1)(x+2) = 20

FOIL

x^2+2x+x+2 = 20

x^2 +3x+2 =20

Subtract 20

x^2 +3x-18 = 0

Factor

(x +9) (x-6) = 0

Using  the zero product property

x+9=0   x-6 =0

x= -9    x=6

Since the length cannot be negative

x=6

RP = x+2+x = 6+2+6 = 14

10(x+6)=40 need answer

Answers

Answer:

x = -2

Step-by-step explanation:

10(x+6)=40

Divide each side by 10

10/10 (x+6)=40/10

x+6 = 4

Subtract 6 from each side

x+6-6 = 4-6

x = -2

Find the value of x for which AE¯¯¯¯¯¯¯∥CD¯¯¯¯¯¯¯. answers: 43 31 47 121

Answers

Answer:

the answer is 31

Step-by-step explanation:

The measure of angle x is 31 degrees

Sum of angles of a quadrilateral

From the given quadrilateral, the sum of the adjacent angles are equal. Hence;

59 + 31 = 47 + x + 12

90 = 59 + x

Make x the subject of formula

x = 90 - 59

x = 31 degrees

HEnce the measure of angle x is 31 degrees

Learn more angles here: https://brainly.com/question/26098895

Jake can read 45 pages of a book in 9 minutes. Kayleigh can read 60 pages of a book in 10 minutes. Which person reads at a faster rate per minute? A. Jake because he read at a rate of 5 pages per minute. B. Kayleigh because she read at a rate of 6 pages per minute. C. Jake because he read at a rate of 15 page per minute. D. Kayleigh because she read at a rate of 16 page per minute

Answers

Answer:

B. Kayleigh because she reads at a rate of 6 pages per minute.

Step-by-step explanation:

To find the amount of pages both people read in a minute, we can simply divide:

Jake- 45/9 = 5 pages a minute

Kayleigh- 60/10 = 6 pages a minute

Therefore, Kayleigh reads more pages a minute because 6 > 5.


write the equationof the line parallel to y=2x+3 and passing through the point (7,6)

Answers

Answer:

y= 2x +8

Step-by-step explanation:

y= 2x+3

gradient of given line = 2

(coefficient of x term when the coefficient of y is 1)

Parallel lines have the same gradient.

Hence gradient of the unknown line is 2.

y= 2x +c

To find the value of c, substitute a coordinate.

When x= 7, y=6,

6= 2(7) +c

6= 14 +c

c= 6-14

c= -8

Thus, the equation of the line is y= 2x +8.

David's monthly house payment is $468 21.
If his annual real estate tax is $1,231 and his annual insurance is $1,087, what is his total
payment to the lender each month?
Round each answer to the nearest dollar before adding

Answers

assuming his house payment is $468.21

you just add them all together

468.21+1231+1087= $2786.21

then rounded to the nearest dollar
$2786

Hence total payment for expenses is $46281

What is Total payment?

Payments refers to outstanding amount to be paid for the liable items. We can also say that banknotes and coins (cash), as well as deposits and credit on an account with a financial institution or a similar entity that can be run using payment instruments, are all examples of means of payment.

How to  solve?

annual real estate tax = $1,231

annual insurance         = $1,087

David' monthly house payments=$46821

To calculate total payments we will now add all the payments.

Hence total payments=$49,139

Learn more about  payments https://brainly.com/question/3988691

#SPJ2

Alisha wants to buy some Ripples (XRP). One Ripple is worth 0.331 American dollars. How many Ripples can she buy with $20.00? Enter your answer as a whole number, such as 23.

Answers

Answer:

Your answer would be 60 Ripples.

Step-by-step explanation:

$20.00 / 0.331 = 60.42296072507553.

                            Hope this helped! Have a great day!

Answer:

60

Step-by-step explanation:

20/0.331

=20×1000/o.331×1000

=20000/331

=60.422

Which of the following is the correct graph of the linear equation below?
y+2-}(x-1)

Answers

Answer:

=y+3-x

Step-by-step explanation:

I recommend that you download the symbolab application, it is very good, it helps a lot

In the diagram below, which distance represents the distance from point Dto
АВ?
A
C
D
B
ОА. АС
O B. BD
C. CD
D. AD

Answers

Answer:

C

Step-by-step explanation:

The distance from a point to a line is measured by the perpendicular distance from the point to the line.

CD is perpendicular to AB and represents the distance from D to AB

Answer:

Answer is CD , as C point lies on AB and is perpendicular to it

Using the image below, solve for . Make sure to double check your work at the end.

Answers

Step-by-step explanation:

They are Alternate angles so they need to be equal to each other meaning you can right them like this;

[tex]4x + 2 = 86[/tex]

So to work out x you just have to separate x;

[tex]4x = 86 - 2 \\ 4x = 84 \\ x = \frac{84}{4} [/tex]

So

[tex]x = 21[/tex]

If you can help me with this scale problem that would be cool. No rush.

Answers

Answer:

4

Step-by-step explanation:

The answer is 4. When you divide each of the larger sides by the equivalent side of the smaller you get 4 every time.

Hope this helps! (Please consider giving brainliest)

Answer:

The scale factor is 4.

Step-by-step explanation:

If you divde a number from the large triangle to a number from a small triangle, you will get 4.

Chrissy says that all rectangles must have 2​ pairs of equal angles.

Which statement best proves that Chrissy is correct?

A All rhombuses have 2​ pairs of equal angles.

B All quadrilaterals have 2​ pairs of equal angles.

C All parallelograms have 2​ pairs of equal angles.

D All trapezoids have 2​ pairs of equal angles.

Answers

Answer:

C

Step-by-step explanation:

2 pairs of parallel sides. Opposite sides and opposite angles are congruent.

I will give u 100 points and mark you as brainiest if you can answer this for me pls I need it I am in a quiz Order –17, –14, and 6 from greatest to least. –17, –14, 6 –14, 6, –17 6, –17, –14 6, –14, –17

Answers

Answer:

-17-17,-17,-17,-14,-14,-14,-14,6,6,6,6

Step-by-step explanation:

hope it helped.

Greatest - 6 Middle - -14 Least - -17

Solve systems of equations for x + y, please!! -2x - 7y = -13 3x + 6y = 15

Answers

Answer:

-2x - 7y = -13.    X intercepts = (13/2,0)

3x+6y=15.          Y intercept = (0,13/7)

Step-by-step explanation:

-2x-7y=-13. To find x intercept substitute 0 for y and solve for x.

3x+6y=15.   To find y intercept substitute 0 for x and solve for y.

Plot points on graph.

which of the following relations is a function ?

Answers

Answer:

D

Step-by-step explanation:

Every X value can only correspond to one Y value.

For example, in answer A, the Y value 4 is used twice for different X values, so it is not a function.

How long will it take Jordon to drive 600 miles
if his average speed is 65 miles per hour?
t =600/65 per hour
How many hours

Answers

Answer:

about 9.23 miles or 9 miles

Step-by-step explanation:

you divide 600 by 65

5^7/5^3 in factored form

Answers

Answer:

5^4

Step-by-step explanation:

5^7/5^3

When we divided exponents with the same base

a^b / a^c = a^(b-c)

5^7/5^3 = 5^(7-3) = 5^4

Answer:

5⁴

Step-by-step explanation:

When dividing exponents with the same base, you subtract the exponents without changing the base.

[tex]\frac{5^7}{5^3} \\\\5^4[/tex]

Circle Y has a radius of 22 meters and Circle Z has a radius of 27 meters. Which of the following statements are true? Select all that apply.
o The circumference of Circle Y=44π m
o The circumference of Circle Z=27π m
o The circumference of Circle Y is approximately 32 m less than the circumference of Circle Z.
o The circumference of Circle Z is approximately 170 m.
o The circumference of Circle Z is approximately 32 m less than the circumference of Circle Y

Answers

Answer:

A

C

D

Step-by-step explanation:

60 POINTS!!!!!!!!!!!!!! yes really 60 POINTS Please Help

The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win. Compa
the location of the game and the number of wins, a correlation coefficient of 0.891 is calculated. What would this imply about the football team winning at home
The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, but causation cannot be
determined
The scatter plot would closely resemble a straight line with a positive slope. The data has a strong positive correlation, and a causal relationship exists
between the team playing at home and winning.
The scatter plot would not be represented by a line of best fit with a positive slope. There is a weak correlation between the football team playing at home
and winning
There is no causation and almost no correlation between the football team playing at home and winning

Answers

Answer:

The scatter plot would closely resemble a straight line with a positive slope. The data has a strong positive correlation, and a causal relationship exists

No the answer is:

There is no causation and almost no correlation between the football team playing at home and winning.

Desiree wants to place a wire fence around the base of an apple tree... The tree has and mulch area around it, is shaped like a circle that has a radius of 14 inches... What length of fencing does Desiree need? ROUND TO THE NEAREST TENTH AND INCLUDE UNITS IN YOUR ANSWER

Answers

Answer:

( About ) 88 inches

Step-by-step explanation:

Considering this wire fence to be the circumference of the base of this apple tree, provided it is circular, let us solve for the amount of fencing given the radius of this circle is 14 inches;

[tex]Radius Of Circle - 14 inches,\\Diameter - 14 inches * 2 = 28 inches,\\Circumference - 2\pi r, r = radius,\\\\2\pi r - \pi d, d = diameter,\\\\Circumference Of Circle - \pi * ( 28 inches ) = ( About ) 88 inches\\Length Of Fencing = ( About ) 88 inches[/tex]

Length of Fencing rounded to 10th place, ( About ) 88 inches

pls do this one i will mark u brainlist And its highest points u only have 20 minutes to do​

Answers

Answer:

1. 320 2. 144 3. 330 4. 160 5. 336 6. 1440 7. 225 8. 2 9. 150

Step-by-step explanation:

to find the volume of a cube you do width*length*height.

Sam and Bethan shar £54 in the ratio 5:4 work out how much each person gets

Answers

Pretty sure it’s like this.

5:4 = 5+4 =9
£54/9 = £6 for 1 ratio

So
5 ratio would be £6 x 5 = £30
And
4 ratio would be £6 x 4 = £24
Answer is: 30:24

Find the equation of the line passing
through the points (3,-2) and (4, 6).
y=[ ? ]x + [ ]

Answers

y= 8x - 26

Look at the image. The app I used is called Desmos.

Find the equation of the line below. If necessary, use a slash (/) to indicate a
division bar.

Answers

Y=7X is the linear equation. There’s no y intercept and the slope is 7/1 which equals 7.

Which angle is congruent to ∠N

Answers

Answer:

X

Step-by-step explanation:

Because it was written in that order. Pls brainliest!!

Answer:

∠X because of corresponding parts of congruent triangles are congruent.

Check
Sort the polynomials according to whether they are prime or non-prime.
6x3 - 5x2 + 2x-14
124 - 18x2 + 8x2 - 12
6x2 + 9x + 10x + 15
1272 - 3x + 4x +7

Answers

Answer: first, second and fourth are primes, the third is not-prime.

Step-by-step explanation:

A prime polynomial can not be reduced.

Let's see the options:

A) 6x^3 - 5x^2 + 2^x-14

You can see that we have a coefficient equal to 5 and other equal to 2.

As both are prime numbers, we can not reduce this, so this is a prime polynomial.

B) 12x^4 - 18x^2 + 8x^2 - 12 = 12x^4 -10*x^2 + 124

Both coefficients are even, so we can reduce it to:

12x4 -10*x^2 + 124 = 2*(6x^4 -5*x^2 + 72)

So this is not prime.

C) 6x^3 + 9x^2 + 10x + 15

we have that:

6 = 3*2

9 = 3*3

10 = 2*5

15 = 3*5

a polinomial is only reducible if all the coefficients share at least one prime factor, here we can see that this is not the case, so this is a prime polinomial.

D) 12x^2 -3x + 4x + 7 = 12x^2 + x + 7

Again, here we have that one coefficient is 1, the only factor of 1 is itself, so we can not reduce this polinomial, this is prime.

Answer:

answer shown in picture

Step-by-step explanation:

Find the area of the largest circle that can be inscribed inside a square whose diagonal is 5" ( with explanation )

Answers

Answer:

19.625

Step-by-step explanation:

If the square's diagonal is 5 and the circle is inscribed in it, that means that the radius is 2.5

2.5^2*3.14

=19.625

Find the value of x in the given right triangle HELP IDK HOW TO DO THIS PLEASE

Answers

Answer:

x ≈ 5.63

Step-by-step explanation:

We use cos∅ for this problem (adjacent over hypotenuse)

Step 1: Write equation

cos62° = x/12

Step 2: Isolate x

12(cos62°) = x

x = 5.63366

And we have our final answer!

Answer: 5.6

Step-by-step explanation:

Hope this helps

betty started the summer with 8 hamsters. by september she had 18 hamsters, what is the percent change?

Answers

Answer:

The percentage changed is 44.444%

Step-by-step explanation:

8÷18×100

Answer:

125%

Step-by-step explanation:

The increase in the hamster count was 10.  Thus, the percentage change (increase) is

  10

-------- * 100%  =  125%

   8

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