3. A ball is dropped initially from a height of 1.2 m. The rebound from the floor is 3/5 of the previous height.
(a) Find the height to which the ball rises at the 2nd bounce.
(b) Find the total distance that the ball has travelled when it hits the floor for the tenth time.
(c) Assuming that the ball continues to bounce in the same way indefinitely, find the total distance that the ball travels.​

9514 1404 393

Answer:

  32 15/16 ft^2

Step-by-step explanation:

There are 144 square inches in a square foot, so the number of square feet is ...

  (4743 in²) × (1 ft²)/(144 in²) = (4743/144) ft² = 32 15/16 ft² = 32.9375 ft²

Answer:

hyperbola!!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

selecting Bag |1/2

p(red from bag ||)=1/2×5/11=5/22

Answer:

289

Step-by-step explanation:

bro u could have used the calculator

Answer:

2312/8 =289 is the answer

Answer:

46.935, $46.94

Answer:

[tex](0,\, -6)[/tex].

Step-by-step explanation:

On a cartesian plane, the [tex]y[/tex]-intercept of a function is the point where the graph of that function intersects with the [tex]y\![/tex]-axis.

The [tex]y[/tex]-axis of a cartesian plane is the same as the equation [tex]x = 0[/tex] (that is, the collection of all points with an [tex]x[/tex]-coordinate of [tex]0[/tex].)

Construct a system of two equations, with one equation representing [tex]y[/tex]-axis and [tex]y = f(x)[/tex] to represent the graph of this function:

[tex]\begin{aligned}\begin{cases} y = x^{2} + x - 6 & \text{for the quadratic function} \\ x = 0 & \text{for the $y$-axis}\end{cases}\end{aligned}[/tex].

Solve this system for [tex]x[/tex] and for [tex]y[/tex]. If a solution exists, then the [tex]y\![/tex]-axis and the graph of [tex]y = f(x)[/tex] would indeed intersect. The point [tex](x,\, y)[/tex] would be the intersection of the [tex]y\!\![/tex]-axis and the graph of [tex]y = f(x)\![/tex].

Substitute the second equation of the system into the first.

[tex]\begin{aligned}\begin{cases} x = 0 \\ y = -6\end{cases}\end{aligned}[/tex].

Hence, the intersection of the [tex]y[/tex]-axis and the graph of [tex]y = f(x)[/tex] would be [tex](0,\, -6)[/tex]. By definition, this point would be the [tex]y\![/tex]-intercept of [tex]y = f(x)\![/tex].

Answer: (0, -6)

Step-by-step explanation:

got it right on my test

Answer:   https://www.lmtsd.org/cms/lib/PA01000427/Centricity/Domain/187/1.1%20Answer%20Key.pdf

Step-by-step explanation:

that sould work

Answer:

Its C

Step-by-step explanation:

Substitute in 3 for x and check. The equation doesn't work.

Substitute 2 in for y. The equation still doesn't work.

So its right.

lol are u using edguenity

rip

If you mean

[tex]\displaystyle \lim_{x\to0^+} \frac{(1+\sin(7x))^8}x[/tex]

then the limit doesn't exist, since 1 + sin(7x) approaches 1 while the denominator approaches 0.

However, if instead you mean

[tex]\displaystyle \lim_{x\to0^+}(1+\sin(7x))^{8/x}[/tex]

rewrite the limand as

[tex](1+\sin(7x))^{8/x} = \exp\left(\ln(1+\sin(7x))^{8/x}\right) \\\\ = \exp\left(\dfrac{8\ln(1+\sin(7x))}x\right) \\\\ =\exp\left(\dfrac{\ln(1+\sin(7x))}x\right)^8[/tex]

The exponential function is continuous at 0, so we can pass the limit through it:

[tex]\displaystyle\lim_{x\to0^+}\exp\left(\dfrac{\ln(1+\sin(7x))}x\right)^8 = \exp\left(\lim_{x\to0^+}\dfrac{\ln(1+\sin(7x))}x\right)^8[/tex]

The remaining limit takes the indeterminate form 0/0, since ln(1 + sin(7x)) approaches ln(1) = 0, and so does x in the denominator. Apply L'Hopital's rule:

[tex]\displaystyle\exp\left(\lim_{x\to0^+}\dfrac{7\cos(7x)}{1+\sin(7x)}\right)^8 = \exp\left(7\right)^8 = \left(e^7\right)^8 = \boxed{e^{56}}[/tex]

Answer:

Step-by-step explanation:

Let [tex]z=r\cos \theta + i\sin \theta[/tex]

then by the Moivre

[tex]z^6 = r^6 \left( \cos \theta +i\sin \theta)^6= r^6\left(\cos (6\theta) + i\sin(6\theta)\right)[/tex]

Answer:

Washington had 115 hits and Sanchez had 111 hits.

Step-by-step explanation:

2s + 4 = 226

2s = 222

s = 111

s + 4 = 115

Answer:

It means that it is approximately equal to or about/around.

it is under mapping and function

f of x is equal to -2 root x-7 plus one

Answer:

m=-3

Step-by-step explanation:

Answer:

135, 9, 15

Step-by-step explanation:

Beads per necklace=(Total beads used)/(Total number of necklace made) = 135/9 = 15

Answer:

This states that the probability of the occurrence of two mutually exclusive events is the sum of their individual probabilities. As you can see from the picture, the probability of getting one head and one tail on the toss of two coins is 0.5.

Step-by-step explanation:

may this answer is helpful for you

Answer: The magnificent of east and g is a round out of the fraction that is in direct to 32 degrees and the other direction of the resultant 10 = 12 + F

45 = 60 + F.

Answer:

its either the 3rd one or the 5th one

sorry hope this helps a little bit

Step-by-step explanation:

Answer:

49½+5½

Step-by-step explanation:

Because here, we have 7√5, which we can place the two numbers in index form, 7 is equal to√49 which is 49½ and √5 is equal to 5½. So the answer is 49½•5½

Using the concepts of relative minimum and relative maximum, it is found that a relative minimum is most likely to occur between 1 and 3.

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A similar problem is given at https://brainly.com/question/9839310

Answer:

x | -2 | -1 | 0 | 1 | 2 | 3

g(x) |-14| -2 | 0 |-4| -6| 2

Between which two values would a relative minimum most likely occur?

-2 and 0

-1 and 1

0 and 2

1 and 3

the correct answer is 1 and 3

Step-by-step explanation:

12 months

7 days

19 hours

Answer:

x=7

EF =  5

DF = 16

Step-by-step explanation:

DF = DE + EF

3x-5 = 11 + 2x-9

Combine like terms

3x-5 = 2x+2

Subtract 2x from each side

3x-5 -2x = 2x+2-2x

x-5 = 2

Add 5 to each side

x-5+5 = 2+5

x=7

EF = 2x-7 =2*7-9 = 14-9 = 5

DF = 11 +5 =16

Answer:

x=7

Step-by-step explanation:

11+(2x-9) = 3x-5

2+2x=3x-5

7=x

There are 4 spaces between 34 and 35. This means each line is 1/4

A is located at 34.25

34.25 is the correct answer

Answer:

A. m-6/24

Step-by-step explanation:

This is the required expression because,

1. Quotient of 24 and 6 less than m.

2. It means quotient of 24 and 6 subtracted from m.

3. Representing it mathematically, m-6/24.

The mathematical expression for "the quotient of 24 and 6 less than m" is m - 6/24 option (A) is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression in the word is: "the quotient of 24 and 6 less than m"

Here m is the number.

The quotient of 24 and 6 is 6/24

Linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.

If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.

The quotient of 24 and 6 is less than m which means 6/24 should be subtracted from m.

= m - 6/24

Thus, the mathematical expression for "the quotient of 24 and 6 less than m" is m - 6/24 option (A) is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

It is 8 < 3n

Step-by-step explanation:

8 < { 3 times a number }

let this number be x :

[tex]» \: 8 < \{3 \times n \} \\ » \: 8 < 3n[/tex]

The answer you are looking for is 4.

To prove your answer, just test it.

Solution/Explanation:

³√64=4.

Does 4³=64?

Yes, it does. So, what does this mean?

It means that the answer is correct.

So, therefore, the final answer is 4.

I hope this helped you find the answer to your question.

So, the answer that you are looking for is 4.

Problem 1

Part A

If n is even, then we have a "parabolic" shape going on. I put that in quotes because if n = 2, then we have a true parabola; however, if n is even and larger than 2, then we have a curve that looks like a parabola, but it's not exactly a perfect parabola. All of these curves have in common that the end behavior is the same for the left and right sides.

Consider the example where a = 1 and n = 2. This means

y = a*x^n

turns into

y = 1*x^2

which is the same as

y = x^2

This produces the parent parabola curve. This curve opens upward.

I recommend using Desmos to graph y = a*x^n, where the 'a' and n are parameters set up. Check out the screenshot below.

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

Part B

If n is odd, then we'll get something that looks like a cubic curve. If n = 3, then we get a cubic curve. If n is odd and n > 3, then we get something that looks like a cubic curve, but it's not exactly this perfect cubic.

If we let a = 2 and n = 3, then y = a*x^n becomes y = 2x^3. The graph of which is below.

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Part C

If a > 0 then the curve is like the previous examples shown earlier.

If a < 0, then we will reflect those given earlier curves over the horizontal x axis. An example is shown below using y = -x^2. This time we have a = -1 and n = 2. In other words, I reflected the example in part A over the x axis.

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Part D

As 'a' increases, then the graph gets more narrow. It also gets vertically stretched. Consider the example of going from y = 1x^2 to y = 3x^2 as shown below.

As 'a' decreases, then the process is done in reverse: the curve gets more flatter and wider horizontally. We consider the curve to be vertically compressed or squished. So we'd go from y = 3x^2 to y = 1x^2 as an example.

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Problem 2

Part A

For all of problem 2, we'll only consider negative values of n. We want n to be even, so let's say n = -2. Furthermore, let's say a = 2.

This means y = ax^n becomes y = 2x^(-2) which is the same as y = 2/(x^2)

The curve we get is really two separate pieces. There's a gap or disconnect at x = 0 because of a division by zero error. One piece of the curve is always increasing, while the other piece is always decreasing.

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Part B

Since we want n to be odd and negative, let's say n = -1. We'll keep a = 2 the same as before.

That means y = ax^n becomes y = 2x^(-1) as shown in the diagram below. What we have is a hyperbola. This is a disconnected set of two curves that collectively entirely define this function in a visual sense. Note the gap when x = 0 due to the division by zero error.

Recall that y = 2x^(-1) is the same as y = 2/x

Again, I'm using Desmos to generate each of these graphs.

Similar to part A, the two pieces are disconnected. This curve is known as hyperbola. It's always increasing if a < 0, and it's always decreasing when a > 0.

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Part C

If 'a' is positive, then the graph of y = 2/(x^2) is entirely above the x axis (aka everything is positive). On the flip side, if 'a' is negative, then everything swaps to being negative. That will reflect the curve over the x axis to get what you see in the example below. We have a = -2 and n = 2.

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Part D

As 'a' increases, this means the graph spreads out. If 'a' decreases, then it gets more compressed.  

An example is shown below going from y = 1/x to y = 3/x which shows expansion going on (reverse it to get a compression).

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Once again, the screenshots are shown below as examples.

Answer:

0.91 (make sure to include unit of measurement)

Step-by-step explanation:

10.49 - 9.58 = 0.91

Answer:

your answer is 70.

Step-by-step explanation:

mean=Efx/n=1050/15=70

Replace k with 3 and m with 5/6

3^4 x 5/6

Simplify 3^4 which is 3 x 3 x 3 x 3= 81

Now you have :

81 x 5/6 = 67 and 1/2 ( 67.5 as a decimal)