If a rock was thrown at t-2.23tp and hits its height at 1.56 meters what was the height of the tower?

Answers

Answer 1

Answer:

t = 4.875 s

h(4.875) = 686.25 ft

t ≈ 11.424 s

Step-by-step explanation:

These questions are more easily answered if the equation is written in vertex form. Subtracting the constant and dividing out -16, we get ...

h(t) -306 = -16(t^2 -9.75t)

Adding the square of half the t-coefficient inside parentheses gives ...

 h(t) -306 -380.25 = -16(t^2 -9.75t +23.765625)  

 h(t) = -16(t -4.875)^2 + 686.25

This tells us the maximum height is 686.25 ft at time t = 4.875 seconds.

__

When the rock hits the ground, h(t) = 0, so ...

0 = -16(t -4.875)^2 + 686.25

686.25/16 = (t -4.875)^2 . . . . . subtract 686.25, divide by -16

√42.890625 +4.875 = t ≈ 11.424 . . . . take the square root, add 4.875

The rock hits the ground after about 11.424 seconds.


Related Questions

Please help!! due soon!!

i’m having trouble with a discussion for my class

“Devon is having difficulty determining if the relation given in an input-output table is a function.

Marco explains to him that in order to tell if the relation in the table is a function, Devon needs to check if any output values are reported. If they repeat and have different input values, the relation is not a function.

INSTRUCTIONS
If Marco is correct, respond to the following statement:
-Summarize Marco’s reasoning in your own words

If Marco is incorrect, respond to the following statement:
-Explain what is wrong with Marco’s reasoning and provide an example of a function.”

please help!!!!!

Answers

Marco is right. A function is a pattern that links in a unique way an input value with its output. So if we find different outputs for the same input, we can say that the relation is not a function.

What square root does 120 lie between

Answers

Answer:

I think its 10 and ethier 11 or 12

120 lies between 11 and 10

arrange _2 1/2,5 1/2,3 1/2,1 1/2,_1/2in order of increasing size to give a sequence and find the rule which gives the sequence​

Answers

626828282828288w8282



In the auditorium there are 13 red chairs and 37 blue chairs. What is the ratio of the number
of blue chairs to the number of red chairs?

Answers

37 blue chairs: 13 red chairs

Jorge walked 2 1/2
miles on Monday. He walked 3 1/2 miles on Tuesday.
How many miles did Jorge walk all together in the two days?k

Answers

Answer:

6

Step-by-step explanation:

2 1/2 + 3 1/2

= (2 + 3) + (1/2 + 1/2)

= 5 + 1

= 6

Please, Can someone help me, I don't know this one.

Answers

The smaller triangle’s missing side is 6.32 and the bigger triangle’s missing side is 10.

Which is the equation of the line, in point-slope form, that has a slope of 2 and
passes through the point (4, -7)?
y+7= 2(x-4)
y-7 = 2(x+4)
x-7 = 2(x-4)
y-4 = 2(x+7)

Answers

Answer: y+7 = 2(x-4)

Step-by-step explanation: Point slope form is y − y1 = m(x − x1), where m is the slope and (x1,y1) is one known point on the line.  We are told that m= 2 and (4,-7).  Therefore:

(y − (-7)) = 2(x − (4))

y+7 = 2(x-4)

Find the area of the figure. (Sides meet at right angles)

Answers

Answer:

45cm^2

Step-by-step explanation:

3x5x2=30

5x3=15

15+30=45

Solve the compound inequality:
6< x -2<14

Answers

Answer:

[tex]{ \tt{6 < x - 2 < 14}} \\ \\ { \tt{(6 + 2) < x < (14 + 2)}} \\ \\ \dashrightarrow \: { \tt{8 < x < 16}}[/tex]

Please help I’m offering a lot!!

What one word completes the following sentence?
_____angles formed
by a transversal of parallel lines are
congruent and all the_______
angles are supplementary to all the obtuse angles.

Answers

Answer:

right

Step-by-step explanation:

two transverse lines make a right angle ... no triangle gas 2 right angles

The answer for the first one is two and the second one is 180° I think ?

Please someone help me with these! Mark brainliest !

Answers

Answer:

4.) Cost of cordless phone = $55

cost of each additional handset = $25  

Therefore, the overall cost of the cordless phone, including the 3 extra handsets is:

$55 + 3($25) = $55 + $75 = $130

5.) Given the function, f(d ) = .20d + 14, where:

f(d) = global temperature (in Celsius)

d = number of decades  

To evaluate the value of f (d ) at f(10), you'll have to substitute the value of d = 10 as input into the function:

f(10) = .20(10) + 14

f(10) = 2 + 14

f(10) = 16

6.) Value of f(10):

    In 10 decades, the predicted global temperature will be 16° Celsius.

7.) The correct answer is B. The global temperature f(d) depends on the number of decades, d.

Explanation: the independent variable is d →  it is the input of the function. The output primarily depends on the given value of input.

8.) Given the function, f(t ) = 0.2t

where t = represents number of days elapsed since the planting of the seed.

         Evaluate f(40):

        f(40) = 0.2(40)

        f(40) = 8

Context of f(40): The value of the function, f(40) = 8 represents the 8 centimeter height of the habanero plant after 40 days of planting its seeds.  

Please mark my answers as the Brainliest, if you find my explanations helpful :)

sarah has 214 bag of beads each bag has enough beads for 22 bracelets she estimates that since 200x 20 =4,000 there are enough beads for aT LEAST 4000 bracelets tell how how you can critique sarahs reasoning

Answers

Answer:

Sarah's reasoning sounds good to start. She rounded the available bags and their content, so the result, 4000 bracelets, should be really easy to reach.

The exact numbers are 214 bags * 22 bracelets / bag = 4708 bracelets; so as you see, Sarah took care of having room to loose some beads and yet the beads will be enough to make 4000 bracelets.

Of course, if you want to be sure, you should ask Sarah some questions. For example:

1) What proportion of beads are normally deffective?

2) What proportion of beads are normally lost when crafting?

So, if Sarah did not take into account those proportions she migth be overestimating the number of bracelets they can make.

Sarah's assumptions of having enough beads for at least 4000 bracelets is correct.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Sarah who has 214 bag of beads each bag has enough beads for 22 bracelets

According to Sarah, there are enough beads for at least 4000 bracelets.

Mathematically -

x[e] ≥ 4000

Actual number of beads she could make = 22 x 214 = 4708 = x[a]

Since, x[a] > x[e], we can say that Sarah's assumptions are correct.

Therefore, we can say that Sarah's assumptions are correct.

To solve more questions on equation modelling, visit the link below-

brainly.com/question/9144182

#SPJ5

Three friends all have ages that are consecutive integers. The sum of their ages is 48. what is the age of the eldest friend?

A. 16 years old
B. 15 years old
C. 17 years old
D. 20 years old

Answers

Answer:

C.17 years old

Step-by-step explanation:

consecutive means that they come after each other

17+16+15=48

The answer to this is C.17

A bag contains 2 red, 4 yellow and 6 blue balls. the probability of drawing a blue ball from the bag at random is

Answers

Answer:

1/2

Step-by-step explanation:

because add 2 4 6 it gives 12

blue is 6 divide 6 by 12 it gives 1/2

Find the measure of the angle plz help

Answers

Answer:

you need a protractor to measure it. They have made a picture of that too.

Step-by-step explanation:

you need a protractor to measure it. They have made a picture of that too.

If three dice are rolled, what chance is there
of throwing a total of 3?

Answers

Answer:

Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes. This idea generalizes further for more dice. If we roll n dice then there are 6n outcomes.

We can also consider the possible sums from rolling several dice. The smallest possible sum occurs when all of the dice are the smallest, or one each. This gives a sum of three when we are rolling three dice. The greatest number on a die is six, which means that the greatest possible sum occurs when all three dice are sixes. The sum of this situation is 18.

When n dice are rolled, the least possible sum is n and the greatest possible sum is 6n.

There is one possible way three dice can total 3

3 ways for 4

6 for 5

10 for 6

15 for 7

21 for 8

25 for 9

27 for 10

27 for 11

25 for 12

21 for 13

15 for 14

10 for 15

6 for 16

3 for 17

1 for 18

Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 4.
O A. F(x) = x and G(X) = A
B. Fx) = 5x and G(X) = 4x
C. F(x) = 4x and G(x) = 5x
D. Fx) = 5x and G(x) = 4
SUBMIT

Answers

Answer:

ji aap ka answer number (B) wala hai

hope it's help you (^0^)

The composite function G(F(x)) = 4√x is for the functions when F(x) = √x and G(x) = 4x.

What is Composition of Functions?

Composition of two functions f and g can be defined as the operation of composition such that we get a third function h where h(x) = (f o g) (x).

h(x) is called the composite function.

Given that, the composite function is,

G(F(x)) = 4√x

We have to find the functions G(X) and F(x).

We know that,

G(F(x)) is the function G(x) when x is changed to F(x).

Let G(x) = 4x

In G(F(x)), x will be replaced by F(x).

In order to get 4√x, x is replaced by √x.

So, F(x) = √x

Hence G(x) = 4x and F(x) = √x.

Learn more about Composite Functions here :

https://brainly.com/question/15190250

#SPJ7

Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her.

Part A: Choose the compound inequality that describes the elevation x of Ted's house

B: Ted lives between ____ m and _____ m above sea level.​

Please help me, I really don't know where to start.

Answers

Answer:

98 or 105

Step-by-step explanation:

Franklin starting playing video games as soon as he got home from school. He played video
games for 54 minutes. Then Franklin helped clean the kitchen for 1 hour. After the kitchen
was clean, it took Franklin 57 minutes to finish his homework. wWhen Franklin finished his
homework, it was 5:56 P.M. What time did Franklin get home from school?

Answers

Answer:

3:05

Step-by-step explanation:

Answer: he got home at 3:05 pm!

Step-by-step explanation:

working backwards from the time stamp 5:56pm, we can just subtract the time he spent gaming and doing chores:

5:56

-0:54 mins games

-1:00 cleaning

-0:57 for homework= the time he got home, but lets make it easier!

54+57=111, in total, that's 1:51 time wise, so that simplifies it a little, be we can simplify it further, by adding the hour spent cleaning.

1:51 on homework n games + 1:00 on cleaning = 2:51 spent on home stuff in general

so lets go back to our subtraction:

5:56 pm -time stamp after all his chores

-2:51 spent on home stuff

= 3:05 pm the time he left school

f(t) = -2t + 5
so
) =
= 13
I need help with this

Answers

Answer:

f(- 4) = 13

Step-by-step explanation:

We require to find the value of t which makes f(t) = 13

Equating the right sides gives

- 2t + 5 = 13 ( subtract 5 from both sides )

- 2t = 8 ( divide both sides by - 2 )

t = - 4

Then

(f(- 4) = 13

please help me

no random links pls

Answers

0 is the answer zero

Solve 3x + 5 = 10 for x.

Answers

Answer:

x = 5/3

Step-by-step explanation:

Solve for x:

3 x + 5 = 10

Subtract 5 from both sides:

3 x + (5 - 5) = 10 - 5

5 - 5 = 0:

3 x = 10 - 5

10 - 5 = 5:

3 x = 5

Divide both sides of 3 x = 5 by 3:

(3 x)/3 = 5/3

3/3 = 1:

Answer:  x = 5/3

Answer:  x = ⁵/₃

Step-by-step explanation:

To solve for x, make it the subject of the equation and simplify:

3x + 5 = 10      [subtract five from both sides]

     3x = 5        [divide both sides by three]

       x = ⁵/₃

Graph the line using the slope and y-intercept.

Y = -x + 7

Answers

Answer:

(-6, 13) (-5, 12) (-4, 11) (-3, 10) (-2, 9) (-1, 8) (0, 7) (1, 6) (2, 5) (3, 4) (4, 3) (5, 2) (6, 1) (7, 0)

HELP ASAP I WILL GIVE BRAINLIEST!!! Write two inequalities that would have the solution set as graphed below.

Answers

Answer:The answer is x > -1

Step-by-step explanation:

The list represents the number of cars
sold and the bonus received by the
salespeople of a car dealership.
{(1, 50), (2, 50), (3, 100), (4, 150)

Answers

Answer:

What is the question

Step-by-step explanation:

5/3y=-(x-5) the slope intercept

Answers

Answer:

y = - [tex]\frac{3}{5}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

[tex]\frac{5}{3}[/tex] y = - (x - 5) ← distribute parenthesis

[tex]\frac{5}{3}[/tex] y = - x + 5 ( multiply through by 3 to clear the fraction )

5y = - 3x + 15 ( divide terms by 5 )

y = - [tex]\frac{3}{5}[/tex] x + 3 ← in slope- intercept form

What is the equation of the line that passes through the points (4, 15) and (0, 3)?

Answers

Answer:

Y=3x+3

Step-by-step explanation:

Gradient = :[tex]\frac{y2-y1}{x2-x1}[/tex] = :[tex]\frac{3-15}{0-4}[/tex] = :[tex]\frac{-12}{-4}[/tex] = 3

Y= mx + c

y = 3x + c

Insert x and y values for first point(4,15)

15 = 3 (4) + c

15 = 12 + c

3 = c

Y=3x +3

Answer:

The equation of the line is y=3x+3

Step-by-step explanation:

y=mx+b is the y intercept form of the equation of this line.

m=slope, and we find the slope by the equation m=y2-y1/x2-x1. Plugging our number into that formula, we get m=3 - 15/ 0 - 4, or -12/-4, which simplifies to 3.

Now we can add our slope into the formula.

y=3x+b

Next, we solve for the y intercept, or b. You can use whatever point to get the answer, but I will use 4 ,15).

y=mx+b is the equation, or substituting the numbers, gets you 15=3×4+b. now solve for b: b=15-(3)(4). b=3.

now, with slope and y intercept plugged in, the final equation is. y=3x+3

What is the cosine ratio of

Answers

Answer:

Therefore, the exact value of cos 30 degrees is written as 0.8660 approx. √3/2 is the value of Cos 30° which is a trigonometric ratio or trigonometric function of a particular angle

Find the ratio 45 sec to 1 min

Answers

Answer:

3:4

Step-by-step explanation:

The graph below represents the linear parent function f(x) = x.

Which of the following equations represents the parent function being shifted 4 units to the right and 2 units down?

g(x) = (x+4) - 2
g(x) = (x-4) - 2
g(x) = (x+4)+2
g(x) = (x- 4) + 2​

Answers

Answer:

g(x) = (x+4) - 2

Step-by-step explanation:

going tothe right with four is adding and going down is subtracting hope i helped

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