A ball is thrown into the air with an initial velocity of 64 feet per second from a height of 336 feet. After how many seconds will the ball return to the ground and have a height of zero again

Answers

Answer 1

Answer:

  7 seconds

Step-by-step explanation:

Ballistic motion is usually modeled in the vertical direction in US customary units by the equation h(t) = -16t^2 +v0·t +h0, where v0 and h0 are the initial velocity and height, and h(t) is the height as a function of time in seconds. For the given initial conditions, the equation of vertical motion will be ...

  h(t) = -16t^2 +64t +336

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This question asks you for the value of t for which h(t) = 0. We can solve that equation by factoring.

  0 = -16t^2 +64t +336

  0 = t^2 -4t -21 . . . . . . . . divide by -16

  0 = (t -7)(t +3) . . . . . . . factor the quadratic

  t = 7 . . . . . . the positive value of t that makes the equation true

The ball will return to the ground after 7 seconds.

__

Additional comment

A graph of the function reveals the ball reaches a maximum height of 400 feet after 2 seconds.

In metric units, the equation is h(t) = -4.9t^2 +v0·t +h0, where distances are in meters instead of feet. Time is still in seconds.

A Ball Is Thrown Into The Air With An Initial Velocity Of 64 Feet Per Second From A Height Of 336 Feet.

Related Questions

The table below shows a proportional relationship. True or False?

Answers

According to the image, the table shows a relationship that is not proportional. First of all, you cannot multiply a number by 0 and get something other than 0. Anything multiplied by 0 is always 0.

Second, the rule is different for each row.

2x5=10

4x4=16

6x3.6=22

A proportional relationship must increase by the same amount, and this does not, which means it is not proportional.

Find common ratio

0+4(1)=42+4(2)=104+4(3)=166+4(4)=22

Yes they are proportional

How do I prove if EFGH is a rhombus in this paragraph proof?

Answers

Explanation:

There are many approaches you can take. Perhaps one of the easiest is to show the sides of the rhombus are all the same length. This can be done several ways. Here are a couple of them.

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1.

A square has degree 4 rotational symmetry, so will map to itself when rotated by any multiple of 90°. This means the midpoints of adjacent sides will map to themselves, and any segment joining the midpoints of adjacent sides will map to itself. When segments map to themselves, they are congruent, hence the four sides of EFGH are congruent, and the figure is a rhombus.

__

2.

The sides of a square are the same length and all corner angles are right angles. Midpoints of the sides divide the sides into congruent parts, so all of the segments PF, FQ, QG, GR, and so on are congruent. This means all of the triangles PFE, QGF, RHG, and SEH are congruent by the LL postulate. Corresponding sides of congruent triangles are congruent, so the sides of EFGH are congruent, and the figure is a rhombus.

1+2=
3+4
4=3
)+0
you dont have to answer just put a random letter or something

Answers

Answer:

3

7

last one doesn't even make sense

Find the measure of the arc or angle indicated

Answers

Answer:

D) 130

Step-by-step explanation:

So there are three arc sections in this problem,

The first one is given: 158

To find the arc between S and R, you can use the angle of point T and double it.

So:

36 * 2 = 72

The second arc is 72

Now for the one that they want you to find, you have to add the two arcs that you have and substract it from 360, which is the angle of a whole circle

Like so:

360 - (158 + 72) = 130

Answer:

130

Step-by-step explanation:

Can someone work this one out with me please

Answers

Answer:

46°

Step-by-step explanation:

Since the side mn is tangent, the angle in M is a right angle. The sum of internal angles needs to add to 180°, so subtacting you're left with 46°

Hi there!

Since MN is tangent to Circle K, we know that MK and MN are PERPENDICULAR.

Therefore, m∠M = 90°.

Since we now know two angles in the right triangle, we can solve for m∠K knowing that angles in a triangle sum up to 180°.

180° = ∠M + ∠N + ∠K

180° = 90° + 44° + ∠K


Combine like terms:
180° = 134° + ∠K

Subtract:
180° - 134° = ∠K

∠K = 46°

A rectangular flower bed measures 10 m by 6 m. It has a path 2 m wide around it. Find the area of the path.

Answers

Step-by-step explanation:

the easiest way to answer this is to calculate the area of the large rectangle (white) and subtract the area of the small rectangular (black).

we know the dimensions of the small rectangle : 10×6

and because of the 2m thick "frame" we know the dimensions of the large rectangle by adding 2×2 m to every small dimension : 14×10

(2 m on the top and the bottom, and 2 m left and right, so 4 m added in every direction).

the area of the large rectangle is

14 m × 10 m = 140 m²

the area of the small rectangle is

10 m × 6 m = 60 m²

so the area of the path is

140 - 60 = 80 m²

100 BRAINLY POINTS!!!

The figure below shows a scatter plot.


Which linear equation best represents the data in the scatter plot?

A. y = -8x + 0.5

B. y = -0.5x - 8

C. y = -0.5x + 8

D. y = -x + 8.5

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

Answers

Answer:

C)   [tex]y=-0.5x+8[/tex]

Step-by-step explanation:

Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.

All the given options for the line of best fit are linear equations.

Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.

Linear equation:  [tex]y=mx+b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 8.  So this suggests that options C or D are the solution.

We can also see that the slope (gradient) of the line of best fit is approximately -0.5 (as the rate of change (y/x) is -1 unit of y for every +2 units of x).

Therefore, C is the solution, and the closet approximation to the line of best fit is [tex]y=-0.5x+8[/tex]

A mother shared $400 amongst her three daughters Amy, Beatrice and Claire in the ratio of 3:2:5 respectively. How much money did Amy receive?

Answers

Answer:

$120

Step-by-step explanation:

Total Parts = 3+2+5 = 10

400 / 10 = $40 per part

Amy = 40 x 3 = 120

What is the image of (-1, -2) after a reflection over the y-axis?

Answers

Answer:

(1, -2)

Step-by-step explanation:

Since (-1, -2) is in quadrant 3 and reflected to quadrant 4, the values become (+, -)
Hope this helps :)

A figure is made up of two triangles and a square. The triangles and the square have the same base length of 5 feet. The triangles have a height of 4 feet. What is the total area of the figure?

Answers

Answer:

45 ft^2.

Step-by-step explanation:

Area = area of the square + 2 * area of one triangle

= 5^2 + 2 * 1/2 * 5 * 4

= 25 + 20

= 45 fT^2.

What is the value of z in the triangle ? Enter your answer in the box . Round your final answer to the nearest hundredth.

Answers

Answer:

32.97 inches

Step-by-step explanation:

Given

27 in. is the length one of the legs

Solving

cosine function gives the ratio of the adjacent side of the angle and the hypotenuseTake cos35°cos35° = 0.819cos35° = 27/z⇒ 27/z = 0.819⇒ z = 27/0.819⇒ z = 32.97 inches

a 5 year lease for a office space states that the annual rent is 62,000 for the first year and will increase by 7% each additional year of the lease. what will the total rent expense (nearest cent) be for the entire 5 year lease?

PLSSS HELPPPPPP

Answers

First year- 62,000
Second year- 7% increased in rent= 66,340
Third year- 7% increased in rent (66,340)= 70,984
Fourth year- 7% increased in rent (70,984)= 75,953
Fifth year- 7% increased in rent (75,953)= 81,270.

Total 5 years lease- 356,547.

What is the least common multiple? 48, 10​

Answers

Answer:

240

Step-by-step explanation:

An electrician charges $55 an hour for labor and an initial fee of $95. The total cost c equals 55 times the number of hours x plus 95. Enter an equation for the relationship and use the equation to complete the table.

Answers

Answer:

C = 55h + 95

Step-by-step explanation:

That is the equation, I can't see a table but I'm assuming you would be given hours worked, so plug that in for the h value and solve to get a cost in $.

For example, if he worked for 2 hours then

C = 55(2) + 95

C = 110 + 95

C = $205

If you found my answer helpful, please rate branliest. It's free to do so and would help me out a ton!

I WILL GIVE 100 PRECENT BRAINLIEST. PLS ANSWER THIS CORRECTLY,DUE IN A DAY.
[tex]x^{2} =3x-1 , x^{2} +\frac{1}{x^{2} }= what[/tex].
pls answer correctly,will mark brainliest for 100 percent real.

Answers

Answer:

7

Step-by-step explanation:

1. Solve for x in [tex]x^2 = 3x - 1[/tex].

[tex]x=\frac{3+ \sqrt{5}}{2} ,\frac{3- \sqrt{5}}{2}[/tex]

2. Substitute [tex]x=\frac{3+ \sqrt{5}}{2} ,\frac{3- \sqrt{5}}{2}[/tex] into [tex]x^2 + \frac{1}{x^2} = y[/tex].

[tex]\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2} = y[/tex]

3. Solve for y in [tex]\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2} = y[/tex]

[tex]y=\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2}[/tex]

4. Therefore,

[tex]x=\frac{3 + \sqrt{5} }{2}, \frac{3-\sqrt{5}}{2}\\y=\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2}[/tex]

............

[tex]x= \frac{3-\sqrt{5}}{2}[/tex]≈[tex]0.381966011, y=7[/tex]

[tex]x= \frac{\sqrt{5}+3}{2}[/tex]≈[tex]2.618033989, y=7[/tex]

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Please rate and click the Thanks button if it helped you out. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

Kallmekrish

The best way to predict the future is to create it.

- Abraham Lincoln, Past U.S. President

Answer:

7

Step-by-step explanation:

Given equation:  [tex]x^2=3x-1[/tex]

Rearrange so that it is equal to zero:

[tex]\implies x^2-3x+1=0[/tex]

Quadratic formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Using the quadratic formula to solve the given equation:

[tex]\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(1)} }{2(1)}[/tex]

[tex]\implies x=\dfrac{3 \pm \sqrt{5}}{2}[/tex]

[tex]\implies x^2=\dfrac{7 \pm 3\sqrt{5}}{2}[/tex]

Substituting this into [tex]x^2+\dfrac{1}{x^2}[/tex]

[tex]\implies \dfrac{7\pm3\sqrt{5}}{2}+\dfrac{1}{\dfrac{7\pm3\sqrt{5}}{2}}[/tex]

[tex]\implies \dfrac{7\pm3\sqrt{5}}{2}+\dfrac{2}{7\pm3\sqrt{5}}[/tex]

[tex]\implies \dfrac{(7\pm3\sqrt{5})(7\pm3\sqrt{5})}{2(7\pm3\sqrt{5})}+\dfrac{4}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{(7\pm3\sqrt{5})(7\pm3\sqrt{5})+4}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{49\pm42\sqrt{5}+45+4}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{98\pm42\sqrt{5}}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{14(7\pm3\sqrt{5})}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{14}{2}[/tex]

[tex]\implies 7[/tex]

If f(x)=2^x is translated 3 units up and 4 units to the left what is the equation for the transformed graph?

Answers

Answer:

Step-by-step explanation:

[tex]f(x) = 2^{x}[/tex]

translate 3 units up will change the y coordinate so will add 3 to y or f(x)

[tex]f(x) = 2^{x} +3[/tex]

translate 4 units to the left will change the x coordinates so will add 4 to the x to move towards left

[tex]f(x) = 2^{x+4} +3[/tex]

PLEASE HELP QUICK
9) Which of these MOST helped J.R.R. Tolkien to become a successful writer?
A) His sense of humor.
B) His loving children.
©) His creative imagination.
D) His appetite for success.

Answers

Answer: C) His creative imagination

Step-by-step explanation:

J.R.R. Tolkien's creative imagination most helped him to become a successful writer

Tiles with numbers 1 through 9 are placed in a bag. What is the probability of choosing an even number that is greater than or equal to 4? 1/9, 2/9, 3/9 or 4/9

Answers

Answer:

3/9

Step-by-step explanation:

Okay, first let's list all the numbers between 1 and 9

1, 2, 3, 4, 5, 6, 7, 8, 9

Now let's list all of the even numbers from the previous list

2, 4, 6, 8

Now let's list all of the numbers from the previous list that are equal to, or greater than, 4

4, 6, 8

That's only three potential numbers, out of a total of nine numbers

So it's a 3/9 chance

2. What is the scale factor of the new scale drawing to the original scale drawing (SD2 to SD1)? 10 cm on then​

Answers

Answer:

To find each length in the new scale drawing, you can multiply each length in the original scale drawing by this scale factor between the two scale drawings. ▫.

fdddkgStep-by-step explanation:

What is the domain of function f?

Answers

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

Answer:

B. -∞ [tex]\leq[/tex] x [tex]\leq[/tex] ∞

Step-by-step explanation:

The domain of a graph is all the x-values it covers. Since this graph does not have any arrows at its end or beginning points, we can assume it goes on forever. Lines that go on forever always have an infinite domain.

The z value for a 97. 8% confidence interval estimation is.

Answers

Using the z-distribution, it is found that the z-value is of z = -2.29.

How to find the critical value of Z?

For a confidence level of [tex]\alpha[/tex], it is Z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex].

We have a 97.8% confidence level, hence[tex]\alpha = 0.978[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.978}{2} = 0.989[/tex], so the critical value is z = -2.29.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?

Answers

Answer: C

Step-by-step explanation:


Which answers describe the shape below? Check all that apply.



A. Square
B. Trapezoid
C. Quadrilateral
D. Parallelogram
E. Rhombus
F. Rectangle

Answers

Answer:

The answers are C, D, and F

Step-by-step explanation:

C,d,f cause they all mean the shape has 4 sides

Use the ratio table to solve the percent problem,
Part
Whole

? 75
40 100

What is 40% of 757
Enter your answer in the box

Answers

Answer:

302.8

Step-by-step explanation:

If you ever have a calculator by your side remember that a percentage is just a decimal moved two digits to the left. So in this case, the equation is just 757•0.4. Sorry, however, I do not know what you're asking at the top part.

6 h ​ −1=−3

what is the answer

Answers

Answer:

h=[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]6h-1=-3\\6h=-2\\h=-\frac{2}{6} \\h=-\frac{1}{3}[/tex]

Answer:

[tex]\boxed{\sf{h=-\dfrac{1}{3}=-0.33 }}[/tex]

Step-by-step explanation:

Isolate by the h from one side of the equation.

6h-1=-3

First, add by 1 from both sides.

[tex]\sf{6h-1+1=-3+1}[/tex]

Solve.

-3+1=-2

Rewrite the problem down.

6h=-2

Then, you divide by 6 from both sides.

[tex]\sf{\dfrac{6h}{6}=\dfrac{-2}{6} }[/tex]

Solve.

-2/2=-1

6/2=3

Rewrite as a fraction.

[tex]\boxed{\sf{h=-\dfrac{1}{3}=0.33}}[/tex]

Therefore, the correct answer is h=-1/3=0.33.

I hope this helps you! Let me know if my answer is wrong or not.

please HELPPP! I have been stuck on this for too long.

Answers

I believe the answer is B

An auto mechanic has collected $1468.63 for parts, including 6% tax. For accounting purposes, he must determine exactly how much of the total was in sales tax.

HINT: Let "x" stand for the dollar amount of the parts BEFORE tax was added. ​

Answers

Answer:To calculate the sales tax that is included in a company's receipts, divide the total amount received (for the items that are subject to sales tax) by "1 + ...

Step-by-step explanation:

Find m<2


Round your answer to the tenth.

Answers

A circle is 360° total, and you have the rest of the circle, so just subtract from 360.

360-242.7=117.3

117.3° is angle 2

I
For each of the following functions find f(-x) and -f(x), then determine whether it
is even, odd or neither. Justify your answer.
f(x)=x^3-7/x
f(x)=|-x|
f(x)=25-x^3
f(x)=72-x^4

Answers

By using the definition of even and odd functions, we will see that:

a) oddb) even.c) neitherd) even.What is an odd and an even function?

A function f(x) is even if:

f(x) = f(-x)

And the function is odd if:

f(-x) = -f(x).

Now let's check it for all the given functions.

a) f(x) = x^3 - 7/x

-f(x) = -x^3 + 7/xf(-x) = (-x)^3 - 7/(-x) = -x^3 + 7/x

So this function is odd.

b)  f(x) = |-x|

-f(x) = -|-x|f(-x) = |-(-x)| = |x| = |-x|

This function is even.

c) f(x)=25-x^3

-f(x) = -25 + x^3f(-x) = 25 - (-x)^3 = 25 + x^3

This function is neither odd nor even.

d) f(x) = 72-x^4

-f(x) = -72 + x^4f(-x) = 72 - (-x)^4 = 72 - x^4 = f(x)

This function is even.

If you want to learn more about odd and even functions, you can read:

https://brainly.com/question/2284364

NEED HELP ASAP!!!! GIVING BRAINLIEST+ 30 POINTS TO WHOEVER CAN ANSWER THESE TWO QUESTIONS THE BEST!!!

Answers

Answer:

For question 2: 15/4.

For question 3: 10/8.

Step-by-step explanation: To multiply fractions, you multiply the numerators and then the denominators.  We should first transform any whole numbers into fractions.  The first step is done below:

For question 2: 5 to 5/1.

For question 3: 2 to 2/1.

Now, we can multiply the numerators and denominators to answer the following:

For question 2: 5/1 x 3/4.  The numerators are 5 and 3, so multiply those to get 15.  The denominators are 1 and 4, so multiply those to get 4.  Your answer is 15/4.

For question 3: 2/1 x 5/8.  The numerators are 2 and 5, so multiply those to get 10.  The denominators are 1 and 8, so multiply those to get 8.  Your answer is 10/8.

Let me know if this is right! :)

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