Mathematics High School

Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16t^2 where is time in seconds. The height of a certain tower is 878 feet. How long would it take an object to fall to the ground from the top of the building?

Answers

Answer 1

Answer:

7.4 seconds

Step-by-step explanation:

878 = 16 t^2 divide both sides of the equation by 16

54.875 = t^2 take positive sq rt

7.4 seconds

Related Questions

The Curved Surface area [csa] In a cylinder is 250cm². If the cylinder is 12cm high ,find the volume.

Answers

ahemmm the so-called curved area, will be the "latereal surface area" of the cylinder, and we know that that is 250 cm², whilst the height h = 12.

[tex]\textit{lateral area of a cylinder}\\\\ LA=2\pi rh~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ LA=250\\ h=12 \end{cases}\implies \begin{array}{llll} 250=2\pi r(12)\implies 250=24\pi r \\\\\\ \cfrac{250}{24\pi }=r\implies \cfrac{125}{12\pi }=r \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\frac{125}{12\pi }\\ h=12 \end{cases}\implies \begin{array}{llll} V=\pi \left( \cfrac{125}{12\pi } \right)^2 (12) \\\\\\ V=\cfrac{15625}{12\pi }\implies V\approx 414.47 \end{array}[/tex]

Of the 12 people who have taken their seats at a seminar, 2 have red hair. What is the experimental probability that the next person to take a seat will have red hair? help pls i dont understand this ixl

Answers

Answer:

Heyyy!!!!!

I think the answer is 1/6.... Im not really sure...

Step-by-step explanation:

My explanation is that there are twelve people of whom 2 have red hair.

so the probability is 2/12 which simplifies to 1/6.

I really hope this helps!!!

GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT!!!!

Answers

Answer: It should be 4 11/15 gallons.

Step-by-step explanation:

I multiplied both of the amounts.

1. a motor car race is 500 miles long and consists of completing laps of a circular speedway
that has a circumference of 2.5 miles. for which of these functions does y represent the
number of miles a motor car has left to go in the race if x represent the number of laps
completed by the motor car?
a. y = -2.5x -500
b. y = -2.5x + 500
c. y = 2.5x -500
d. y = 2.5x + 500

Answers

The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

y represents the number of miles a motor car has left to go in the race

x represents the number of laps completed by the motor car

The total number of miles if we consider only circular speedways = 2.5x

The total number of miles:

y = 2.5x + 500 (because 500 is the constant)

Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.

Learn more about the function here:

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A marble is selected at random from a jar containing 4 red marbles, 5 yellow marbles, and 3 green marbles. What is the probability that the marble that gets selected is red?

Answers

Answer:

p(picking red)= 4/12 (4 over 12) which can get simplified to 1/3 (1 over 3)

A function is graphed on a coordinate grid. as the domain values approach infinity, the range values approach infinity. as the domain values approach negative infinity, the range values approach infinity. to which family of functions might the described function belong?

Answers

From the description of the function as we can see in the question, the function is a quadratic function.

What is a quadratic function?

The term quadratic function refers to a type of function that is obtained from the equation ax^2+ bx + c =0.

A function in which as the domain values approach infinity, the range values approach infinity and as the domain values approach negative infinity, the range values approach infinity is a quadratic function.

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In a class of 23,there are 13 girls and 10 pupils who play chess .The number of girls play chess is 4.Find how many boys do not play chess. Topic :word problems involving set.Note:solve it by formula method and not venn diagram.Ur work should be shown clearly.30 points. A need it hurry

Answers

Answer: 4

Step-by-step explanation:

If there are 13 girls in a class of 23, we can assume there are 10 boys. If 4 girls play chess and there are 10 pupils who play chess, we can guess that the remaining 6 are boys. If there are 10 boys, and 6 of them play chess, there are 4 who do not.

Tierra is making steps for a doll houseshe has cut a piece of wood that measures 1.5 centimeters wide and 30 centimeters longeach step will measure 15 millimeters by 4 millimetersshe will make 21 steps for her doll housewhich are the dimensions of the wood that remains after tierra finishes making the 21 steps?

Answers

The dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm

How to determine the remaining dimensions?

The given parameters are:

Wood = 1.5 cm by 30 cm

Each cut = .15 mm by 4 mm

Steps = 21

The remaining dimension is calculated as:

Remaining = 1.5 cm - 21 * .15 mm by 30 cm - 21 * 4 mm

Express mm as cm

Remaining = 1.5 cm - 21 * .015 cm by 30 cm - 21 * 0.4 cm

Evaluate the difference

Remaining = 1.185 cm by 21.6 cm

Hence, the dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm

Answers

Step-by-step explanation:

When y = 3x then 2(3x) + x =14

6x + x = 14

7x=14

x=2 in sub eq 1

y=3(2)=6

2. Triangle EFG is a sketch of a triangular community garden that has an area of 47.1 square feet.

Trigonometric area formula: Area = 1/2 a b sin(C)

To the nearest foot, what amount of fencing is needed to surround the
perimeter of the flower bed?

G E F E= 45 degrees EF=12ft F=62 degrees

Answers

Answer:

32ft

Step-by-step explanation:

Let me know if you have any questions ! (or my sketch is different)

everything was rounded to the nearest foot and due to this the new area is 49.5...

My question is the if the app well it be good for me or not and if the awers the this is app it give to me are they are good of not??????????? but Thx for all and for the time be here workind thank very much... ;\ LO VE THIS APP THX TO ALLL YOU WORK...

Answers

sounds nice? I'm responding to just answer a question

Yusof poured some of the lemonade from a jug equally into 16 cups
and had 200 ml of lemonade left. Each cup contained 354 ml of
lemonade. How much lemonade did he make in millilitres?

Answers

Answer:

Step-by-step explanation:

You multiply354 and 16 then divide

help pls i need it know i will brainliest you thanks

Answers

Answer:

Check the attached image for your answer.

This is the answer with working out.

how to solve to |12(16−63)|

Answers

Step-by-step explanation:

simply do the calculations :

|12 × (16 - 63)|

|12 × - 47|

|-564| = 564

that's it.

remember, the absolute value is always the positive value of a number.

|-x| = x

and also

|x| = x

Choose the equation for the relationship shown in the graph.
A) y = x + 50
B) y = x – 50
C) y = 50 - x
D) x = 50 - y

Answers

I’m not sure but try this

Answer:

B) y = x - 50

Step-by-step explanation:

https://brainly.com/question/27646495

What are the coordinates for D?

options:

(-3, 2)

(-3, -1)

(-2, -3)

(-3, -2)

Answers

Answer:

(-3, -2)

Explanation:

Coordinates are represented in the form of (x, y)

To know the x coordinates see the value on the x-axis.

To know the y coordinates see the value on the y-axis.

From there we can identify:

A = (x, y) = (-4, 4)

B = (x, y) = (2, 2)

C = (x, y) = (0, -5)

D = (x, y) = (-3, -2) ← Required answer.

Tony walks 1/3 of a mile to school each day. He also walks home from school. How many miles will he have walked in one five-day school week?

Answers

Answer:

3 1/3 miles per five day week

Please help I have no idea what I am doing

Answers

Answer:

16 more games

Step-by-step explanation:

4 is highest for football but basketball has 2 high scores for 8 games and 2 of those games where high points so add 8+8 and you get

3. Ramu finishes 1/3 part of a work in 1 hour. How much part of the work will be finished in 1 2/5 hours?

Answers

6/8 of the work will be completed

Assuming Ramu works at a constant pace the work will take 3 hours to finish.
After 1 2/5 hours he will have finished 1 2/5 divided by 3 = 7/5 x 1/3 = 7/15 of the task

will mark brainiest to whoever gets it right!!!!!!:)

Answers

If they are parallel it would be 105

If its right please give brainliest

It would be 150° because it’s parallel and parallel lines are always same if one parallel line has the number the other must be the same

SOMEBODY CAN YOU PLEASE HELP ME?!

Answers

Answer:

7.81

Step-by-step explanation:

I attached a drawing explaining how to use the Pythagorean theorem to solve this problem. Let me know if you have any questions!

An object is launched at an initial velocity of 19.6 meters per second from an initial height of 24.5 meters. which equation can be used to find the number of seconds it takes the object to hit the ground? 0 = –4.9t2 19.6t 24.5 0 = –4.9t2 24.5t 19.6 19.6 = –4.9t2 24.5t 24.5 = –4.9t2 19.6t

Answers

Check the picture below.

[tex]~~~~~~\textit{initial velocity in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&19.6\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&24.5\\ \qquad \textit{of the object}\\ h=\textit{object's height}&h\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-4.9t^2+19.6t+24.5\hspace{5em}\stackrel{\textit{when it hits the ground}}{0=-4.9t^2+19.6t+24.5}[/tex]

Answer:

Step-by-step explanation:

Please help me solve for X

Answers

Answer:

[tex]\boxed{\sf x = 11.57}[/tex]

Step-by-step explanation:

[tex] \sf {x}^{2} = {3.6}^{2} + {11}^{2} [/tex]

Calculate 3.6 to the power of 2 to get 12.96, and 11 to the power of 2 which will give you 121.

[tex] \sf {x}^{2} = 12.96 + 121[/tex]

Add 12.96 and 121.

[tex]\sf {x}^{2} = 133.96[/tex]

Now, we'll take the square root of both sides of the equation.

[tex] \sf \sqrt{ {x}^{2} } = \sqrt{133.96} [/tex]

[tex]\sf x = 11.57[/tex]

Find the perimeter of the polygon round your answer to the nearest tenth.

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A 37
B 38
C 39
D 40

Answers

The correct answer is 39 units.Parameter is the
sum of the lengths of all sides of a polygon.
The sides of the polygon are PT, TS, SR, RQ,
and QP.

question 7. evaluate the expression

Answers

[tex]\left(3^3 - 6 \cdot 8 \right) \div 7\\\\\\= \dfrac{27-48}{7}\\\\\\=-\dfrac{21}7\\\\\\=-3\\[/tex]

Answer:

-3

Step-by-step explanation:

Using PEMDAS :

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

Exponent (in Parentheses)

(3³ - 6 × 8) ÷ 7(27 - 6 × 8) ÷ 7

Multiplication (in Parentheses)

(27 - 6 × 8) ÷ 7(27 - 48) ÷ 7

Subtraction (In Parentheses)

(27 - 48) ÷ 7-21 ÷ 7

Division

-21 ÷ 7-3

Katie wants to collect over seashells. She already has seashells in her collection. Each day, she finds more seashells on the beach. Katie can use fractions of days to find seashells. 100 34 12

Answers

12d + 34 > 100 seashells

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer: 15.9

Step-by-step explanation:

simplify fully the following :
2√3 x 3√8

Answers

Answer:

29.3938769134

Step-by-step explanation:

Answer:

[tex]\sf 12\sqrt{6}[/tex]

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1
a worker at the rainbow garden center planted multiple rows of flowers.
- there are 3 flowers in the first row.
- each of the remaining rows has 4 more flowers than the previous row.
determine the number of flowers in rows 20 and 35
row 20 has
flowers.
row 35 has
flowers.
i

Answers

The answer will be x=23

Researching the average earnings by major and by career can help you determine the _____ of an institute of higher education.

a) net cost

b) sticker price

c) available scholarships

d) return on investment

Answers

a) the net cost, is the answer

Researching the average earnings by major and by career can help you determine the return on investment of an institute of higher education.

How to Calculate Return on Investment (ROI)?The primary indicator of the profit made from any venture is return on investment (ROI). A gain or loss from an investment in relation to its cost is compared using this ratio. Whether you are assessing the success of your stock portfolio, taking into account a company investment, or choosing whether to start a new project, it is helpful in evaluating the current or projected return on an investment.ROI and other cash flow indicators, including internal rate of return (IRR) and net present value (NPV), are important metrics that are used in business research to assess and prioritize the attractiveness of various investment options.Despite the fact that ROI is a ratio, it is usually stated as a percentage.It's crucial to keep a few things in mind when assessing ROI figures. First off, because it is inherently simpler to understand than a ratio, ROI is frequently represented as a percentage. Second, because investment returns can be either positive or negative, the ROI calculation includes the net return in the numerator.

To learn more about return on investment, refer to

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Neglecting air​ resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16t^2 where is time in seconds. The height of a certain tower is 878 feet. How long would it take an object to fall to the ground from the top of the​ building?

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Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16t^2 where is time in seconds. The height of a certain tower is 878 feet. How long would it take an object to fall to the ground from the top of the building?