Is this a function graph help

Let us say

The Height from which the ball was first dropped as H0 = 248 feet

The Height reached by the ball after second bounce is H1

The Height reached by the ball after second bounce is H2 = 62 feet

Given , Height the ball reaches after bounce is a fraction of the height the ball reached in the previous bounce

The Height reached by the ball after second bounce = H2 = X of H1

==> 62 = X * H1 ...................Equation 1

The Height reached by the ball after first bounce = H1 = X of H0

==> H1 = X * 248 ...................Equation 2

Substituting value of H1 from Equation 2 to Equation 1

62 = X * H1 = X * X * 248

X^2 = 62/248 = 31/124 = 1/4

X = 1/2

Answer is A. 1/2

y' + 6y = f(t)

where

[tex]f(t)=\begin{cases}0&\text{if }0\le t\le2\\12&\text{if }2<t\le6\\0&\text{if }6<t<\infty\end{cases}[/tex]

You can write f(t) in terms of the unit step (i.e. Heaviside theta) function u(t), which is defined as

[tex]u(t)=\begin{cases}0&\text{if }t<0\\1&\text{if }t\ge0\end{cases}[/tex]

Then the DE is written as

y' + 6y = 12 u (t - 2) - 12 u (t - 6)

(a) Take the Laplace transform of both sides:

LT[y' + 6y] = LT[12 u (t - 2) - 12 u (t - 6)]

s Y - y (0) + 6Y = 12 (exp(-2s) - exp(-6s))/s

(b) Solve for Y :

(s + 6) Y = 12 (exp(-2s) - exp(-6s))/s + y (0)

Y = 12 (exp(-2s) - exp(-6s))/(s (s + 6)) + y (0)/(s + 6)

(c) Take the inverse transform:

LT⁻¹ [Y] = LT⁻¹[12 (exp(-2s) - exp(-6s))/(s (s + 6)) + y (0)/(s + 6)]

y = 12 LT⁻¹ [(exp(-2s) - exp(-6s))/(s (s + 6))] + y (0) LT⁻¹ [1/(s + 6)]

y = 12 u (t - 2) LT⁻¹ [1/(s (s + 6))] - 12 u (t - 6) LT⁻¹ [1/(s (s + 6))] + y (0) exp(-6t )

For the remaining inverse transform, break up into partial fractions:

1/(s (s + 6)) = a/s + b/(s + 6)

1 = a (s + 6) + bs

1 = (a + b) s + 6a

==>   6a = 1, a + b = 0   ==>   a = 1/6, b = -1/6

y = 2 u (t - 2) LT⁻¹ [1/s - 1/(s + 6)] - 2 u (t - 6) LT⁻¹ [1/s - 1/(s + 6)] + y (0) exp(-6t )

y = 2 u (t - 2) (1 - exp(-6t )) - 2 u (t - 6) (1 - exp(-6t )) + y (0) exp(-6t )

A line of symmetry would separate a shape to make multiple shapes that are exactly the same.

The answer is C.2

Answer:

157 cm²

Step-by-step explanation:

A cylinder is given to us and we need to find out the lateral surface area of the cylinder . We can see that the ,

Height = 5cm

Radius = 5cm

We know that we can find the lateral surface area of the cylinder as ,

[tex]\rm\implies LSA_{cylinder}= 2\pi r h [/tex]

Substitute upon the respective values ,

[tex]\rm\implies LSA = 2 \times 3.14 \times 5cm \times 5cm [/tex]

Multiply the numbers ,

[tex]\rm\implies \boxed{\blue{\rm LSA = 157 \ cm^2 }}[/tex]

Hence the Lateral surface area of the cylinder is 157 cm² .

[tex] \setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5cm}}\put(9,17.5){\sf{5cm}}\end{picture}[/tex]

Answer:

314.2 is the Surface area

Step-by-step explanation:

Hope it Helps! If you have any questions, feel free to comment! :)

2π(5)(5)+2π(5^2)

2π(25)+2[tex]\pi[/tex](25)

50π+50π=100π

314.2 is the answer. That's what we get after rounding up! :)

Answer:

240 NC rupees.

Answer:

Step-by-step explanation:

Because the arcs HI and GJ are the same, that means that the segments HI and GJ are also the same. Therefore,

c + 20 = 2c and

20 = c

Answer:

Step-by-step explanation:

slope of line through (6,-1) and (11,2) = (-1 - 2)/(6 - 11) = 3/5

slope of line through (5,-7) and (8,-2) = (-7 - (-2))/(8 - 5) = -5/3

product of the slopes = -1, so the lines are perpendicular.

Answer:

Number of 7-digit numbers that can be made from the digit is 576

Step-by-step explanation:

Given the data in the question;

digits ⇒ 1, 2, 3, 4, 5, 6, 7

Number of odd numbers in the given digits = 4

Number of even numbers in the given digits = 3

now, we take the odd digits as a single unit.

so, number of ways the odd digits can be arranged with the unit will be 4!.

Now, lets consider the unit of 4 odd digits with 3 even digits.

there are 4 units.

so the number of possible arrangements of these 4 units = 4!

hence, Number of 7-digit numbers that can be made from the digits will be;

⇒ Number of possible arrangements of 4 units × Number of ways in which the odd digits can be arranged within the unit.

⇒ 4! × 4!

⇒ 576

Therefore, Number of 7-digit numbers that can be made from the digit is 576

Answer:

168).  C

169).  C

170).  C

Step-by-step explanation:

For the first angle, it is a right angle, so it measures 90 degrees.

x and 50 are complementary angles, meaning they add up to 90 degrees.

So, subtract 50 from 90 to get 40, which is equal to x.

45 and x are supplementary angles, meaning they add up to 180 degrees.

Subtract 45 from 180 to get 35 degrees, which is the measure of angle x.

All angles in a triangle add up to 180 degrees.

So, 70 + 56 = 126, 180 - 126 = 54.

Since the unknown angle is x - 5, 54 + 5 = 59, which the the measure of angle x - 5.

Answer:

3.418

Step-by-step explanation:

3.4175

3.4178

u round if the number behind it is higher than 5

Answer:

36 members

Step-by-step explanation:

Let x = the number of science club members

There are 24 people on the bus (1 seat empty on the 25 seat bus)

2/3 of the club attended and that equals 24 people on the bus

2/3x = 24

Multiply each side by 3/2

3/2 * 2/3x = 24 * 3/2

x = 36

False. Let f(x) be an integrable function that is concave on an interval [a, b] in its domain. "Concave" here means that the secant line drawn from (a, f(a)) to (b, f(b)) lies below the graph of f(x).

Notice that

[tex]\dfrac{4n+1}{8n+2}=\dfrac{4n+1}{2(4n+1)}=\dfrac12[/tex]

So by the root test,

[tex]\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\left(\frac12\right)^{2n}\right|} = \frac14 < 1[/tex]

and so the series converges (absolutely).

Answer:

5.8931 ⋅ 10^ − 4

Step-by-step explanation:

Expanded Form:

0.00058931

Answer:

x=9

Step-by-step explanation:

[tex]\sqrt{x}[/tex]=3

[tex]\sqrt{x}[/tex]^2=3^2

x=9

Step-by-step explanation:

5% of 483759 is 24187.95

Answer: The answer is 24,187.95

Step-by-step explanation:

483759 Multiplied by 0.05 = 24,187.95

Answer: 3 shelves

Step-by-step explanation:

12 ÷ 3.1 = 3.87…

Since this is more than 3 but less than 4, we can build 3 full shelves with a leftover.

Answer:

1.047734151

Step-by-step explanation:

Type into calculator

1/2sin(2x)+cos(3x)

Answer:

the answer is B

Step-by-step explanation:

I just know

h(40) = 1400 means that if a worker has 40 hours of training, the corresponding monthly payment is $1400.

Option C is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto-one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The given table shows the relationship between the number of hours of training and the corresponding monthly pay for a worker.

The table implies that there is a function h that relates the number of hours of training to the monthly payments.

The notation h(40) means the value of the function h when the input, or independent variable, is 40.

Therefore,

h(40) = 1400 means that if a worker has 40 hours of training, the corresponding monthly payment is $1400.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Answer:

y=4x-5

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y intercept.

Plug in what you know to solve for b.

3 = 4(2) + b

3 = 8 + b

3-8 = b

b = -5

now put b and m back into the slope- int form.

y = 4x-5

Answer:

marilyn isrestiring and wants to set up a 25-year annuity earns 7.

Answer:

32[tex]\pi[/tex]/3 cm³

Step-by-step explanation:

If the diameter is 4 cm, then the radius is 2 cm.

Use the sphere volume formula:

V = 4/3[tex]\pi[/tex]r³

Plug in the radius and solve:

V = 4/3[tex]\pi[/tex](2)³

V = 4/3[tex]\pi[/tex](8)

V = 32[tex]\pi[/tex]/3

So, the volume of the sphere is 32[tex]\pi[/tex]/3 cm³

Answer:

- 9

Step-by-step explanation:

Let the four consecutive numbers be x, x + 1,

x + 2 and x + 3.

x + x + 1 + x + 2 + x + 3 = - 30

x + x + x + x + 1 + 2 + 3 = - 30

4x + 6 = - 30

4x = - 30 - 6

4x = - 36

x = - 36 / 4

x = - 9

Answer:

when x = 1 then y = 9

when x = -20 then y = -33

when x = 43 then y = 93

Step-by-step explanation:

Just replace the given values of x ( which are 1 , -20 , 43 ) in the function

9514 1404 393

Answer:

  12

Step-by-step explanation:

Apparently, you want the sum a+b when ...

  [tex]\[\displaystyle\frac{\sqrt{600} + \sqrt{150} + 4\sqrt{54}}{6\sqrt{32} - 3\sqrt{50} - \sqrt{72}} = a\sqrt{b},\][/tex]

A calculator can show you the expression on the left evaluates to √243. In simplest terms, that is 9√3, so we have a=9, b=3 and ...

  a+b = 9+3 = 12

Answer:

12

Step-by-step explanation:

Answer:

An airline estimates that 94% of people booked on their flights actually show up. If the airline books 77 people on the flight for which the maximum number is 75, what is the probability that the number of people who show up will exceed the capacity of the plane?

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

Binomial Problem with n = 77 and p = 0.94

---

P(76 <= x <= 77) = 1-P(0 <=x <= 75) = 1 - binomcdf(77,0.94,75) = 0.0504

==================

Cheers,

Stan H.

9514 1404 393

Answer:

  C

Step-by-step explanation:

The vertical asymptote tells you the denominator is zero at x=-1. The only function that has that characteristic is ...

  F(x) = (x +2)/(x +1)

Answer:

24

Step-by-step explanation:

The number of rows (x) should b equal to the number of columns (x).

x²=576

x=√576 taking the square root of the product

x=24

Answer:

[tex]1.1x, 1.21x, 1.61051x[/tex]

Step-by-step explanation:

If you saving grows [tex]10 \%[/tex] every year, then your saving is [tex]1.1\\[/tex] times your saving from last year. Therefore, after one year, you will have [tex]1.1x\\[/tex], then after [tex]2[/tex] years, you will have [tex](1.1)^2 \cdot x=1.21x[/tex], then after [tex]5[/tex] years, you will have [tex](1.1)^5 \cdot x = 1.61051x[/tex].

Answer:

$1.1x, $1.21x, $1.61x

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Since the unit rate is in dollars per pound, we divide the cost (in dollars) by the weight (in pounds.)

($7.45)/(2.5 lb) = $2.98 per pound

Answer: D.