Neglecting air​ resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t)=16t squared​, where t is time in seconds. The height of a certain tower is 986 feet. How long would it take an object to fall to the ground from the top of the​ building?

Answers

Answer 1

Answer: t = 7.85seconds

Step-by-step explanation:

Given that :

Height of tower = 986 Feets

Function s(t) = 16t^2

To find the time t 8 in Seconds taken for an object to fall to the ground from the top of the​ building

16t^2 = 986

t^2 = 986/16

t ^2 = 61.625

Take the square root of both sides

t = sqrt(61.625)

t = 7.85seconds

Answer 2

Answer:

7.85sec

Step-by-step explanation:

Given that,

s(t)=16t squared​, where t is time in seconds. The height of a certain tower is 986 feet.

s(t) = 16t²

so when s = 986feet

16t² = 986 feet

t² = 986 /  16

t² = 61.625

t = √61.625

t= 7.85 seconds


Related Questions

what is the value of n in the equation 4n + 5 = 17​

Answers

Answer:

n=2

Step-by-step explanation:

4 times 2 equals 12. And 12 plus 5 equals 17.

Answer: n=3

Step-by-step explanation: 4n+5=17

17-5

4n=12/4

N=3

A line is drawn through (-4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?
O The line represents a direct variation because
O The line represents a direct variation because it is horizontal.
O The line does not represent a direct variation because it does not go through the origin.
O The line does not represent a direct variation because -4(3) = 4(3)

Answers

Answer:

third option

Step-by-step explanation:

A graph representing direct variation must pass through the origin.

The graph through (- 4, 3) and (4, 3) is a horizontal line and does not go through the origin.

Thus the line does not represent a direct variation because it does not go through the origin.

0.441 to its standard form

Answers

Answer:

erm

Step-by-step explanation:

4.41 times 10^-1

What is the inverse of the function f(x) = 2x + 1?
CO
1
h(x) =
Ex-
1
h(x) =
Y+
h(x) =
h(x) =
3x + 2
Save and Exit

Answers

Answer:

I am hoping for this to be correct

4sqrt2(sqrt6-3sqrt24)

Answers

Answer:

-40\sqrt{3}

-.69.282

Step-by-step explanation:

4(-8x + 5) -(-33x -26)

Answers

Simplifying
4(-8x + 5) = -32x + -26

Reorder the terms:
4(5 + -8x) = -32x + -26
(5 * 4 + -8x * 4) = -32x + -26
(20 + -32x) = -32x + -26

Reorder the terms:
20 + -32x = -26 + -32x

Add '32x' to each side of the equation.
20 + -32x + 32x = -26 + -32x + 32x

Combine like terms: -32x + 32x = 0
20 + 0 = -26 + -32x + 32x
20 = -26 + -32x + 32x

Combine like terms: -32x + 32x = 0
20 = -26 + 0
20 = -26

Solving
20 = -26

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

-4.5(r-2)+3.3 please help

Answers

Answer:

-4.5r + 12.3

Step-by-step explanation:

Multiply -4.5(r-2)

-4.5r + 9 + 3.3

Add 9+3.3=12.3

-4.5r + 12.3

Hope this helps plz mark brainliest

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Step-by-step explanation:

Adding 10 to both sides of the original equation gets us q = 6(r + 1) + 10. Since q is equal to h(r), we get h(r) = 6(r + 1) + 10 = 6r + 16.

Find the selling price of an $70 item after a 30% markup.

Answers

Answer:

70/100*130= $91

Step-by-step explanation:

Answer:

$91

Step-by-step explanation:

CP= $70

Markup= 30%

SP= $70 +30%= $70*1.3= $91

Hannah is putting border on the
walls of her bedroom. Her room
is 14 feet long and 10 feet wide.
She bought 50 feet of border.
Will she have enough for
each wall?
How do you know?

Answers

Answer:

yes she will

Step-by-step explanation:

just find the perimeter

14+14+10+10 or (14*2)+(10*2)

the add and you get 48 feet

48<50

Hope this helps

Which equation matches the graph?

A. y - 2= 3(× -2)
B. y - 2= 3(×+2)
C. y + 2= -3(×+2)
D. y - 2= -3(x-2)

Answers

Cnsndjdjdkdkkdkdododododooopaospdppf
My guess would probably be A !

pls help ASAP for brainliest answer

Answers

Answer:

396cm^3

Step-by-step explanation:

The formula for calculating volume of triangular prism is 1/2×bhl (b: base, h : height, l : length)

1/2 × 9 × 11 × 8 = 396cm^3

Which are vertical angles? Check all that apply. ∠EAB and ∠BAC ∠EAB and ∠CAD ∠CAD and ∠FAE ∠CAB and ∠DAE ∠DAC and ∠DAE

Answers

Answer:

<CAB and <DAE are vertical angles

<EAB and <CAD are vertical angles

Step-by-step explanation:

this is because they are formed by the prolongation of the sides of the other angles and are opposite to them on the other side of the vertex.

Options B and D are correct. The vertical angles are ∠CAD and ∠BAE AND ∠EAB and ∠CAD.

Vertical angles are angles that are opposite to each other in line geometry. The size of the angles must be the same.

According to the diagram shown, we can see that ∠CAD and ∠BAE are opposite to each other with similar measures.

This means that both angles are vertically opposite. he same is applicable to ∠EAB and ∠CAD.

Hence the vertical angles are ∠CAD and ∠BAE AND ∠EAB and ∠CAD.

Learn more here: https://brainly.com/question/13458452

Combine like terms to create an equivalent expression.

-2/3a+5/6a-1/6

Answers

Answer:

The answer is [tex]\frac{1}{6}a - \frac{1}{6}[/tex] .

Step-by-step explanation:

Solve the following equation:

[tex]-\frac{2}{3}a + \frac{5}{6}a - \frac{1}{6}[/tex]

Combine [tex]-\frac{2}{3} a[/tex] and [tex]\frac{5}{6} a[/tex] :

[tex]-\frac{2}{3}a + \frac{5}{6}a - \frac{1}{6}[/tex]

[tex]\frac{1}{6}a - \frac{1}{6}[/tex]

So, the answer is [tex]\frac{1}{6}a - \frac{1}{6}[/tex] .

Answer:

1/6a-1/6

Step-by-step explanation:

Kamal has big feet. Kamal's mom says she wouldn't be surprised if he grew to be 7 feet tall! Kamal's new shoes came in a box that measures 16 inches by 9 inches by 6 inches. What is the volume of the shoebox?

Answers

Answer:

864

Step-by-step explanation:

V=lwh

=16×9×6

=864 inches

Answer:

864 is the volume

Step-by-step explanation:

You can find the answer by applying the volume formula Length x Width x Height.

16x9x6=  864

It does not matter in which way you put the order of length, width and height.

which table represents a linear function

Answers

Answer:

the forth one is linear

Step-by-step explanation:

I think it’s a or b?

If f(x)=2x^2+5 √(x-2)
What does f(3)=?

Answers

f(3) = 2*3^2 + 5 √(3-2)
f(3) = 2*9 + 5 √1
f(3) = 18 + 5
f(3) = 23

simplify sqrt of -100

Answers

Answer:

There is no answer to any square root to a negative number

Step-by-step explanation:

Please answer as soon as possible, whoever is first gets the brainliest

Answers

Answer:

I'm not sure what to do here

Step-by-step explanation:

what is 20 plus 20.

Answers

Answer:

Step-by-step explanation:

40

Answer:

40

Step-by-step explanation:

 20              

20

+-----

zero plus zero is zero

two plus two is four

40

Find the range of p in equation p(x+1) (x-3)=x-4p-2 has no real roots. ​

Answers

Answer:

[tex]\displaystyle p > \frac{1}{4}[/tex].

Step-by-step explanation:

Expand the left-hand side of this equation:

[tex]p\, (x + 1)\, (x - 3) = p\, \left(x^2 - 2\, x - 3\right) = p\, x^2 - 2\, p\, x - 3\, p[/tex].

Collect the terms, so that this quadratic equation is in the form [tex]a\, x^2 + b\, x+ c = 0[/tex]:

[tex]p\, x^2 - 2\, p\, x - 3\, p = x - 4\, p - 2[/tex].

[tex]p\, x^2 - (2\, p + 1)\, x + (p + 2) = 0[/tex].

In this equation:

[tex]a = p[/tex].[tex]b = -(2\, p + 1)[/tex].[tex]c = p + 2[/tex].

Calculate the quadratic discriminant of this quadratic equation:

[tex]\begin{aligned}b^2 - 4\, a\, c &= (-(2\, p + 1))^2 - 4\, p\, (p + 2) \\ &= 4\, p^2 + 4\, p + 1 - 4\, p^2- 8\, p = -4\, p + 1\end{aligned}[/tex].

A quadratic equation has no real root if its quadratic discriminant is less then zero. As a result, this quadratic equation will have no real root when [tex]-4\, p + 1 < 0[/tex]. Solve for the range of [tex]p[/tex]:

[tex]\displaystyle p > \frac{1}{4}[/tex].

can someone please help a guy out? and ASAP. i'm really tired and i've been trying to get this done for months but i cannot understand it in the slightest. whoever can help out will get marked as brainliest ♥


[any other info will be linked as images]


-----------------------------------------------------------------------------


1.) Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.

2.) Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.

3.) What does the slope of the line represent within the context of your graph? What does the y-intercept represent?

4.) Test the residuals of two other points to determine how well the line of best fit models the data.

5.) Use the line of best fit to help you to describe the data correlation.

6.) Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?

7.) According to your line of best fit, what is the arm span of a 74-inch-tall person?

Answers

Answer:

1) On the x-axis, the arm span is plotted. On the y-axis, the height is plotted. It is chosen to be that way because the numbers on that have been assigned on the x-axis increase and decrease in a small amount, while the numbers on the y-axis increase and decrease in a huge amount.

2) (lolz i cant show u my work but i will try my best with explanations even tho ian allat.) So, Using the slope formula, I got a the equation y=x+15. The equation was determined with the formula m=y2-y1/x2-x1. The points that were used included (37,40) and (47,50). After finding the slope, I did the best guess for the y-intercept, which is known as b in y=mx+b.

3) The slope of the line represents the time it takes for the arm span and the height. The y-intercept represents the height that the arm span starts developing or gets bigger.

4) It fits perfectly

5) The data is pretty inconsistent.

6)  About 68-69 inches tall

7)About 71-72 inches wide

yeo u had my brain work after this

Step-by-step explanation:

Answer:

other person is correct

Step-by-step explanation:

find K if the sum of the zeros of the polynomial x square - (K + 6 ) x + 2( 2 k - 1) is half the product​

Answers

k=7

given a quadratic polynomial

ax^2+bx+c

the sum of the roots is given by -(b/a)

and the product of the roots as (c/a)

hence we get sum of roots as -(-(k+6)/1) and product of roots as (2(2k-1))/1

since the sum is equal to half the Product then we get

k+6=2k-1 and solving for k we get 7

I need help What is 3x - 4 = 13

Answers

Answer:

5 2/3

Step-by-step explanation:

3x-4=13

    +4  +4

Add 4 to -4 and 13.

If you add a positive # to a negative one you get a positive number so -4+4 is 0

3x=17

divide 3 and 17

you get 5 2/3

The last 2 questions please help me help me please I need help

Answers

Answer:

3. 12.5π + 100

6. 25π + 250

Step-by-step explanation:

3. So you can first calculate the area of the square, which is 100.

Then you have to calculate the semicircle.

You can see that the diameter is 10.

The radius is 5.

The area of the semicircle is 12.5π

Total area is 12.5π + 100

6. You have a one rectangle and two semicircles.

You can calculate the area of the semicircles first.

25π

Then, you have to see how much the width of the rectangle is.

You can see that the total width is 35, and the radius of each semicircle is 5.

35 - 5 - 5 = 25

The width is 25 so the area of the rectangle is 250.

The total is 25π + 250.

szdfxgthyjunmklhjuxcgtfrhyuji

Answers

Hi!

The negative signs cancel out iin the equation to make a positive 7.

The 4 is already positive.

So that makes it 4 + 7!

Or 7 +4!

Answer choice A.

Hope this helps!

plz solve ziz m−4+m−5

Answers

Answer:

m - 4 + m - 5

= m + m - 4 - 5

= 2m - 9

The answer is 2m - 9

3x^2-6×=0 solve for x factor if necessary

Answers

Answer:

x =0    x=2

Step-by-step explanation:

3x^2 -6x = 0

Factor out a 3x

3x(x -2)=0

Using the zero product property

3x = 0  x-2 =0

x =0    x=2

Someone answer the whole thing fast plz

Answers

Answer:

y = 2x + 54

Step-by-step explanation:

slope of equation:

(y2-y1)/(x2-x1)

= (72-58)/(9-2)

= 14/7

= 2

y = 2x + b

58 = 2(2) + b

58 = 4 + b

b = 54

What is the slope of the line that passes through the points (-2,-5) and
(-3, -6)? Write your answer in simplest form.​

Answers

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 5) and (x₂, y₂ ) = (- 3, - 6)

m = [tex]\frac{-6-(-5)}{-3-(-2)}[/tex] = [tex]\frac{-6+5}{-3+2}[/tex] = [tex]\frac{-1}{-1}[/tex] = 1

Other Questions
What photography technique takes normal-sized items and makes them look like they are miniature? Name and draw the devices that can convert digital signal to analog. If a circle has a radius of 7 square root of 2 and it has a shaded region with an area of 34 pi, find the angle within the shaded region. Please help me!!!! Brainliest for the correct answer!! What is the simplified form of the expression (x + 6)(7x 1) FIRST CORRECT ANSWER GETS BRAINLIEST!!! 20 POINTS!!!!! BRAINLIEST 5 STARS AND THANKS A transverse sinusoidal wave is traveling rightward along a string stretched along the X-direction. The wavelength is 70.0 cm and 8.00 wave peaks per second pass any fixed point on the string. The maximum speed of the string particles in the direction perpendicular to the string is 3.20 m/s. At time t 0, the element of string at x = 20.0 cm is 4.00 cm above its resting position. (a) Construct two distinct wave functions yfx,t) consistent with the given information. (If the only difference between two wavefunctions is that their phase constants differ by an integer multiple of 2n, then they are not distinct.) (b) Sketch both of these wavefunctions for time t 0 between x 0 and x A har 2 20 /s A= 0.0Ch 560 Ch a)yo) Acos CRxt wt +o) w- 2TF : 50 265 S A Vwa 3 20 5a.2655 =0.0656n 0.7854 Question 8 (Matching Worth 8 points)(04.02 MC)Read the sentences and match each room in the house to its correct sentence.MatchTermDefinitionLa salaA) A Pilar le gusta leer en la tardeLa cocinaB) Hay platos, tazas y vasos en la alacena.El baoC) Miro la televisin dentro de la casa en un sof cmodo.El patioD) Me gusta cantar en la ducha en las maanas The ordered pair below is a solution to which equation?(40,5) A factory ship the 100 boxes with 15 skateboards in each box and 10 boxes with 15 helmets in each box The weights of the cars passing over a bridge have a mean 3,550 pounds and standard deviation of 870 pounds. Assume that the weights of the cars passing over the bridge are normally distributed. Use the empirical rule to estimate the percentage of cars over the bridge whose weights are between 1810 and 4420 lbs. a. 13.5%b. 81.5%c. 68%d. 95% Find three times five-twelfths, expressed as a decimal. 1. How do you use the distance formula and slope formula to classify a quadrilaterals and triangles what type of reaction is Cl2(g) + 2Kl(aq) arrow 2KCl(aq) + I2 (s) The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 55 ounces and a standard deviation of 6 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule.Suggestion: sketch the distribution in order to answer these questions.a) 95% of the widget weights lie between _______ and ________.b) What percentage of the widget weights lie between 37 and 67 ounces?c) What percentage of the widget weights lie above 49 ? What is the value of:1/2f (c-d) +k-dwhere f=5, d=114c, k=f-2 and c=8 Select the correct answers. Which two situations are examples of a person-versus-person conflict? an argument between two politicians during an election debate a person having conflicting thoughts about telling the truth a person caught in a snowstorm miles away from any help a swordfight between two Italian knights in the 1700s Two groups of related living things are no longer considered to be the same species whena. They can no longer interbreed.b. They do not eat the same food.c. They do not look the same.d. They become physically separated from each other. The Greek language and culture aided in the spread of Christianity. true or false?