An object is launched directly in the air at a speed of 72 feet per second from a platform located 12 feet above the ground. The position of the object can be modeled using the function f(t)=−16t2+72t+12, where t is the time in seconds and f(t) is the height, in feet, of the object. What is the maximum height, in feet, that the object will reach?

Answers

Answer 1

Answer:

48

Step-by-step explanation:

For the quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the given quadratic, which defines a parabola opening downward, the axis of symmetry defines the time at which the maximum height is reached.

 t = -48/(2(-16)) = 1.5

Then the maximum height is ...

 f(1.5) = (-16·1.5 +48)1.5 +12 = (24·1.5) +12

 f(1.5) = 48

The maximum height the object will reach is 48 feet.

Answer 2

Answer:

93 feet

Step-by-step explanation:

i graphed it and found the maximum

or, if you're not allowed to use a calculator then find the vertex

a = -16, b = 72, c = 12

-b/2a will give you the x-value of 9/4

now plug 9/4 into the equation to get the value of 'y'

= -16(9/4)² + 72(9/4) + 12

= -81 + 162 + 12

= 93


Related Questions

Determine the sum of all single-digit replacements for n such that the number 42,789,n37 is divisible by 3.

Answers

42,789,n37 is divisible by 3 if the sum of the digits is divisible by 3.
Sum of all digits except n = 40
n=2, 5, or 8

ill give brainlyest please help me​

Answers

Answer:5

Step-by-step explanation: trust

Use the Distributive Property to write an equivalent expression.
5 (9+6r) Please hurry! Thank you! :)

Answers

Answer:

45+30r

Step-by-step explanation:

Answer:45+30r

Step-by-step explanation:

Because first you multiply 5x9 that gets you 45 then you multiply 5 again with 6 that gets you 30 but don’t forget the r hope this helped!

JELP HELP HELP HELP
HELP HELP HELP
5TH GRADE
HELP

Answers

Answer: A 729

Step-by-step explanation:

from the table shown

a) Describe in words the pattern relationship

b) Write a rule to describe the pattern shown.

c) If the table had an input of 7, what would be the output?

d) If the table had an output of 31, what would be the input?

Answers

Answer:

c

Step-by-step explanation:

Question 4
1 pts
Which representation of a transformation on a coordinate grid does NOT
preserve congruence?
O Dilations
Translations
Rotations
Reflections

Answers

dialations do not preserve congruence

Help plzz! True or False?
-15 is a solution for -8x = 125

Answers

Answer:

false, it doesn't equal 125

hellllllpppppppppppppppp​

Answers

Since it’s an equilateral triangle all the sides would be the same so x would be 46.

what theorem can be used to prove the 2 triangles similar?

Answers

Answer:

C. SSS

Step-by-step explanation:

[tex] \frac{AB}{SQ} = \frac{AC}{SR} = \frac{BC}{QR} = 2 [/tex]

Thus, the ratio of the corresponding side lengths of both triangles are equal. This implies that all three corresponding side lengths of both triangles are proportional to each other.

Consequently, based on the SSS Criterion, we can conclude that both triangles are similar to each other.

a hose fills a hot tub at a rate of 4.78 gallons per minute. How many hours will it take to fill a 309 gallon tub?

Answers

you just have to divide 309 by 4.78 so it would =64.6443

Pls helppp it is due today

Answers

Rate of change: rise/run = 2/4 = 1/2
Y intercept: when x = 0, (0,y)
Y intercept is (0,1) - aka 1

Solution: A

(15 Points) Hey yall. Can you please help me with this problem?

Answers

Answer:

y [tex]\geq[/tex] 3x + 3

y < -x - 2

Step-by-step explanation:

For the first one, you can see that the slope is 3 and the y-intercept is 3, so the equation of the line would be y = 3x + 3. Then, since the shaded area is above the line it would be greater than and since the line isn't dashed it is greater than or equal to.

The completed equation is y [tex]\geq[/tex] 3x + 3

For the second one, you can see that the slope is -1 and the y intercept is -2, so the equation of the line would be y = -x - 2. Then, since the shaded area is below the line and the line is dashed, the completed equation is y < -x -2

The shortest distance between any two points is a straight line.

a. True
b. False

Answers

Answer:

True

Step-by-step explanation:

The answer to this question is true.

It is worthy to note that in any two points, we have exactly one line segment that connects them together. Now the The distance that lies between both of these points is the length of this line segment which connects them. Also this distance is never negative. It is always positive.

Archimedes was the first to say that the shortest distance between two points is a straight line.

3
Which two equations represent the following statement?
28 is 12 less than k.
A
28 = K - 12
B
<
28 = 12 +K
с
K-12 = 28
D28 - k = 12

Answers

i think it might be A and C
A and C is the answer

P Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has. If each loaf requires 3 and four-fifths cups of flour, how many loaves can Josh bake?
3 loaves of bread
4 loaves of bread
50 loaves of bread
51 loaves of bread

Answers

Answer:

the 13 and one-third cups of flour he has. If each loaf requires 3 and four-fifths cups of flour, how many loaves can Josh bake?

3 loaves of bread

4 loaves of bread

50 loaves of bread

51 loaves of bread

Step-by-step explanation:

What is the length of the missing side, x?
*I would really appreciate the help.*

Answers

Answer:

x/40=49/35

49×40=x×35

x=(49×40)÷35

x=56

A wreck occurred on an interstate Highway that caused a traffic jam 1 mile long. The average car is 14 feet long and cars make up 70% of the Traffic Jam. The average Pickup Truck is 20 feet long and is 20% of the traffic jam. The average tractor Trailer is 75 feet long and makes up 10% of the traffic jam. If there are 3 feet between each vehicle, how many vehicles are in the traffic jam?
A) 27 vehicles
B) 270 vehicles
C) 2700 vehicles
D) 27,000 vehicles

Answers

Answer:

B

Step-by-step explanation:

b)270

B
Step-by-step explanation:
b)270

Simplify the expression -2.4f+0.9f-11-9

Answers

Answer:

-1.5f - 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

-2.4f + 0.9f - 11 - 9

Step 2: Simplify

Combine like terms (f):                    -1.5f - 11 - 9Combine like terms (Z):                   -1.5f - 20

If CN = 8 centimeters, find DN help please

Answers

DN=CN=8cm if N is a centre.since radii are equal in circle.

How many kilometers are in 145,500 cm?

Enter your answer as a decimal in the box. Do not round your answer.

145,500 cm =
kmHow many kilometers are in 145,500 cm?

Enter your answer as a decimal in the box. Do not round your answer.

145,500 cm =
km

Answers

Answer:

1.45500

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs.
Match the events described to the likelihood of their occurrence.

Answers

Answer:

I hope this helps

Step-by-step explanation:

One number is six more than a second number. four times the first is 10 less than 6 times the second. Find the numbers.

I need this solves asap.

Answers

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

One number is six more than a second number. four times the first is 10 less than 6 times the second.⠀⠀⠀⠀

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

Find the two numbers.⠀

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

⠀⠀⠀⠀

In questions given,One number is six more than a second number.

if second number is a

first number is a+6.

and,

four times the first is 10 less than 6 times the second.

So,

4×(a+6)=6a-10

we have to solve this.

[tex]\bold{4\times (a+6)=6a-10   }[/tex] 

[tex]\bold{4a+24=6a-10   }[/tex] 

[tex]\bold{6a-4a=24+10   }[/tex] 

[tex]\bold{2a=34   }[/tex] 

[tex]\bold{ a=\dfrac{34}{2}  }[/tex] 

[tex]\bold{ a=17  }[/tex] 

we,get our second number =a=17.

So,

first number =a+6=17+6=23

solve quadratic inequality x^2+4x≥0

Answers

Answer:

Step-by-step explanation:

y = x² + 4x is an up-opening parabola with x-intercepts 0 and -4.

y ≥ 0 when x≤-4 or x≥0

range: (-∞,-4)∪[0,+∞)

A rectangle is 30 inches long. The diagonal is 50 inches how wide is the rectangle?

Answers

The answer is 1,500. You have to multiply 30 and 50.

Answer:

40

Step-by-step explanation: A rectangle is  a quadralaterial with 4 90 degree angles made up of two diagonals. If we draw one diagonal, it would split the rectangles into two right triangles. Since a rectangle has a right angle, we can use pythagorean theorem to solve the missing side.              

[tex]a^{2} +b^{2} =c^{2}[/tex]   where a and b are the length and widith  and c is the diagonal length. Let plug it in

[tex]30^{2} +b^{2} =50^{2}[/tex]

900+[tex]b^{2}[/tex]=2500

[tex]b^{2} =1600[/tex]

[tex]\sqrt{1600 =[/tex]40

b=40

Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1.
Need this quick please!

Answers

Answer:

9x^2+9xh+3h^2

Step-by-step explanation:

The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f ( x ) = x 2 , [ 2 , 3 ]

A bunny can jump 2/3 of a meter in a single jump!

How many jumps will the bunny need in order to go to 12 meter?

please explain your work

Answers

Answer:

18 jumps (if we are talking about total here)

Step-by-step explanation:

2/3 can be divided into 12/1 , and to divide you have to flip 2/3 into 3/2 and multiply the fractions. You should be left with 36/2 which simplified is 18/1, which equals 18 jumps.

Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A and y units of model B. To produce each model A requires 2 lb of cast iron and 7 min of labor. To produce each model B grate requires 4 lb of cast iron and 4 min of labor. The profit for each model A grate is $1.50, and the profit for each model B grate is $2.40. If 920 lb of cast iron and 1620 min of labor are available for the production of grates per day, how many grates of each model should the division produce per day in order to maximize Kane's profits P?
P = ? subject to the constraints
cast iron ?
labor ?
x ≥ 0
y ≥ 0

Answers

Answer:

(140, 160)

Step-by-step explanation:

Let x represent model A and y represent model B.

2 lb of cast iron is needed for model A while 4 lb of cast iron is needed for model B. 920 lb of cast iron is available for production. This can be represented by the constraint:

2x + 4y ≤ 920         (1)

7 min of labor is needed for model A while 4 min of labor is needed for model B. 1620 min of labor is available for production per day. This can be represented by the constraint:

7x + 4y ≤ 1620      (2)

Also, x ≥ 0 , y ≥ 0

Plotting the constraints using geogebra app, The points that satisfy these constraints are:

(0, 230), (231.42, 0), (0,0) and (140, 160)

The profit for each model A grate is $1.50, and the profit for each model B grate is $2.40. The profit equation is:

Profit = 1.5x + 2.4y

We are to maximize profit. Hence:

At (0,0); max Profit = 1.5(0) + 2.4(0) = 0

At (0,230); max Profit = 1.5(0) + 2.4(230) = 552

At (231.42,0); max Profit = 1.5(231.42) + 2.4(0) = 347

At (140,160); max Profit = 1.5(140) + 2.4(160) = 594

The maximum profit is at (140, 160)

URGENT ONLY ALLOW RIGHT ANSWER

Answers

Answer:

The X intercepts are (-7,0) and (-3,0)

Solve the Equation. 14x+28=14

Answers

Answer:

x= -1

Step-by-step explanation:

1. First, you need to combine like terms. Constants with constants and variables with variables. Since there is only one variable, there is nothing to combine it with so nothing happens to it. The constants, on the other hand, can combine.

2. You have to subtract 28 from 28 and 14 so that +28 can cancel out on the left side and combine on the right.

3. That will leave you with 14x= -14.

4. Now you need to get x on its own so you need to divide 14 (opposite of multiplication to cancel out) on both sides.

5. That will leave you with x= -1. That is your final answer.

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Remember, cheating is never the answer. Try your best before you seek answers. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

1. What is the algebraic translation of "thrice as large as b"?​

Answers

Answer:

3b

Step-by-step explanation:

Thrice as large as b is another way of saying 3b, 3(b), or 3×b.

Other Questions
A grocery store sells a bag of 7 oranges for $6.65. What is the unit cost? 7TH GRADE MATH PLS HELPPPP, About how many centimeters are in 6.25 inches if 1 inch is about 2.5 centimeters? Show your reasoning. PL SHOW UR WORK, WILL GET BRAINLEST N POINTS IF YOU EXPLAIN!!!! what is the measure of Express the sum of 1.202 x 10^3 and 3.45 x 10^2 in scientific notation. GET 20 POINTS :) EASY JUST THAT IM DU.MB What were some examples of racial progress (positive things that happened for Black people) after the Civil War? What were some examples of white supremacy and racism to prevent Black people from having equality after the Civil War? ito ay pamosong linyang binibigkas ni korina sanchez sa programang rated k Complete the table for the given rule.Rule: y = x + 35 If YZ= 55 millimeters, what would be the length of QR? Millimeters Does anyone go to flvs???? graph the equation y = -3x on a graph In what two ways did patrons support the Renaissance movement in Italy?a. They created innovative methods of painting.b. They opposed the church and its orthodox ideas.c. They encouraged the spread of arts and education.d. They developed complex architectural techniques.e. They provided financial support to artists. Simplify -2[9 - (x + 7)].-32 - x-4 - x-4 + 2x-32 + 2x What is "Hello, how are you" in Spanish? A teacher wants to investigate whether listening to music while taking a math test increases scores. He instructs halfof his 36 students to listen to music while taking a test and the other half to not listen to music during the test. Todetermine who listens and who does not, the teacher identifies the two students who scored highest on the last testand randomly instructs one to listen to music and one to not. The teacher does the same for the next two highest-scoring students and continues in this manner until each student has their instructions. Which of the following bestdescribes this plan?O This is a cluster sample.O This is an observational study.O This is a stratified random sample.O This is an experiment with blocking.O This is a completely randomized experiment. Which term is defined as having the people rule? monarchy democracy anarchy oligarchyk12 What is a gene?1. a piece of a chromosome with code for one trait.2. a chemical that predicts heredity.3. a pair of cells4. a pair of chromosomes. Factor 15x + 35 using the GCF.A. 5(3x + 7) B. 5(3x + 35) C. 15(x + 2) D. 7(2x + 5) What is the total area, in square meters, of the shaded sections of the trapezoid below?Please Help test See the picture PLS HELP 6TH GRADE MATH DUE IN 1 MIN costI-costI-costI cost= 4 cost cactverify