A basketball is thrown, and its height above ground is represented by the function f(x)=-3x^2+10x+4. At the same time, a drone takes off from the ground, and its height above ground is represented by the function f(x)=3^x-1. The heights above the ground of the ball and the drone are shown in the graph below.
If x represents time in seconds, approximately how many seconds does it take for the drone to be higher than the basketball?

Explanation:

Normally, y = cos(x) has a period of 2pi. This means that every 2pi horizontal units, the graph repeats itself. However, we can see that the period here is pi units instead.

One way to see this is to start at (0,1). This is a local max point. Move to its neighboring local max at (pi,1). We have moved pi units along the x axis and the cycle is finished, after which point the cycle repeats itself.

Since T = pi is the period, we then can say B = 2pi/T = 2pi/pi = 2

This is then plugged into y = A*cos(B(x-C))+D where

A = 1

C = 0

D = 0

That leads us to y = cos(2x)

Since the period is often connected to time values, it might help to think of this wave's oscillations occurring twice as often compared to y = cos(x). So that might help see why we replace the x with 2x.

Answer:

For octagon =1080.......

Explanation:

180(8-2)

180×6

1080°

Answer:

A or B depending on whether replacement takes place

Step-by-step explanation:

probability of getting a red marble=6/25

probability of getting a green marble (considering no replacement of marble drawn has taken place)=10/24

probability of randomly drawing a red marble and then a green marble=(6/25)*(10/24)=0.1=10%

probability of getting a red marble=6/25

probability of getting a green marble (considering replacement of marble drawn has taken place)=10/25

probability of randomly drawing a red marble and then a green marble=(6/25)*(10/25)=0.096=9.6%

Answer:

1217

Step-by-step explanation:

Given

[tex]Subjects = 2353[/tex]

[tex]Improvement = 1136[/tex]

Required

The number that didn't improve --- missing from the question.

Let the unimproved be represented as x.

So, we have:

[tex]x + Improvement = Subjects[/tex]

Substitute known values

[tex]x + 1136 = 2353[/tex]

Solve for x

[tex]x =- 1136 + 2353[/tex]

[tex]x =1217[/tex]

Answer:

425 or 937

Step-by-step explanation:

First, I listed out all the possible numbers for the first digits, namely, the squares under 10.

1*1=1

2*2=4

3*3=9

Since all the digits have to be different, the first digit cannot be 1 because 1 squared is 1. So that leaves us 4 and 9 to work with, which I tried out one at a time.

Starting with 4:

2 squared is 4.

42

2 times 2 plus 1 equals 5.

425

Starting with 9:

3 squared is 9.

93

2 times 3 plus 1 equals 7.

937

So here we have two numbers that both work and meet the requirements (unless I understood the problem wrong at the part where it says "...the second digit in the 3rd digit on one more than twice the second digit")!

I hope this helped! :D

1) you find the multiplier by dividing 15÷100=0.15

2) multiply the answer by 11.95 so 0.15x11.95=1.792 so the answer is $1.792 because it is 15% of $11.95

Answer:

13.74

Step-by-step explanation:

To determine the tip, take the total amount and multiply by the tip percentage

11.95 * .15

1.7925

Round to the nearest cent

1.79

Add this to the cost of the haircut

11.95+1.79

13.74

Answer:

The lub is 0.2343, while the glb is 0.2

Step-by-step explanation:

btw the 43 seems to be repeating for the lub.

Have a good day!

Answer:

r^9/r^3 = r^9-3 = r^6

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]r^6[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying...}}\\\\\frac{r^9}{r^3} \\--------------\\\\\text{Recall the quotient rule:}} \frac{a^x}{a^y}=a^{x-y}\\\\\rightarrow \frac{r^9}{r^3}\\\\\rightarrow r^{9-3}\\\\\rightarrow \boxed{r^6}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Step-by-step explanation:

combination

is answer of this question

Answer:

f(x) + f(4)

Step-by-step explanation:

TRUST ME DO THIS PROCESS

The n-th row in Pascal's triangle tells you the coefficients of terms in the expansion of (a + b)ⁿ. Starting with n = 0,

1

1 … 1

1 … 2 … 1

1 … 3 … 3 … 1

1 … 4 … 6 … 4 … 1

1 … 5 … 10 … 10 … 5 … 1

In more concrete terms, this translates to

(x - 5y)⁵ = 1 x ⁵ (-5y)⁰ + 5 x ⁴ (-5y)¹ + 10 x ³ (-5y)² + 10 x ² (-5y)³ + 5 x ¹ (-5y)⁴ + 1 x ⁰ (-5y)⁵

Simplify:

(x - 5y)⁵ = x ⁵ - 25x ⁴y + 250x ³y ² - 1250x ²y ³ + 3125xy ⁴ - 3125y ⁵

Answer:

9 is a positive number and -10 is negative. Positive numbers are bigger than negative numbers so yes 9 is bigger than -10

Step-by-step explanation:

Answer:

Yes it is

Step-by-step explanation:

here is how the numbers appear numerically

-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Terms given

No of terms=8

We know

[tex]\boxed{\sf Mean=\dfrac{Sum\;of\:terms}{No\;of\:terms}}[/tex]

[tex]\\ \sf\longmapsto Mean=\dfrac{40+35+32+39+34+35+35+37}{8}[/tex]

[tex]\\ \sf\longmapsto Mean=\dfrac{270}{8}[/tex]

[tex]\\ \sf\longmapsto Mean=35[/tex]

Final Answer:

35

Step-by-step explanation:

-median is the middle number in the data set-

arrange the data set from least to greatest:

40, 30, 32, 39, 34, 35, 35, 37 ⇒ 30, 32, 34, 35, 35, 37, 39, 40

we start from the lowest number and the highest  number and work your way to the middle:

30, 32, 34, 35, 35, 37, 39, 40

notice that there is no middle number:

30, 32, 34, 35, ?, 35, 37, 39, 40

so what we do is add both 35's and then divide it by 2

35 + 35 = 70 ÷ 2 = 35

median: 35

Step-by-step explanation:

x - 5 < 2 (y - 8) • 1/4

x - 5 < (y - 8) / 2

2 (x - 5) < y - 8

2x - 10 < y - 8

2x - 10 + 8 < y

y > 2x - 2

graph 2x - 2 and shade the section above

The graph of (y - 8)² > 4x - 20 is the same as the graph of x - 5 < 1/4(y - 8)²

The inequality of the graph is given as:

x - 5 < 1/4(y - 8)²

Multiply both sides by 4

4x - 20 < (y - 8)²

Rewrite the inequality as:

(y - 8)² > 4x - 20

Hence, the graph of (y - 8)² > 4x - 20 is the same as the graph of x - 5 < 1/4(y - 8)²

See attachment for the graph

Read more about graphs at:

https://brainly.com/question/14323743

Answer:

1/3

Step-by-step explanation:

.444444444(repeating)- .111111111111(repeating)

.44444444......

-.11111111........

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

.33333333........

Let x = .3333333.....

10x = 3.3333333.....

Subtract the first equation from the second

10x = 3.33333.....

-x =     .33333.....

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

9x = 3

x = 3/9

x = 1/3

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

Answer:

0

Step-by-step explanation:

[tex]f(x)=2x-4\\f(2)=2(2)-4\\f(2)=4-4\\f(2)=0[/tex]

Answer:

0

Step-by-step explanation:

If f(x) = 2x - 4

Then f(2) = 2(2) -4

f(2) = 4 - 4

= 0

Problem 1

The idea here is to follow PEMDAS in reverse to undo what is happening to the variable b, so we can isolate it.

-11b + 7 = 40

-11b = 40-7

-11b = 33

b = 33/(-11)

b = -3

To check this value, plug it back into the original equation. You should get 40 on each side to help confirm the answer.

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

Problem 2

There are two ways we can solve. One method is to use the hint your teacher gave you. So we'll distribute first and then follow the same idea as problem 1

9(p-4) = -18

9p-36 = -18

9p = -18+36

9p = 18

p = 18/9

p = 2

Another method you can use is to follow these steps

9(p-4) = -18

p-4 = -18/9

p-4 = -2

p = -2+4

p = 2

Either way, we get the same result. To check the answer, replace every p with 2 in the original equation. You should get -18 on the left side after simplifying.

[tex]\\ \sf\longmapsto 49\times 51[/tex]

[tex]\\ \sf\longmapsto (50-1)(50+1)[/tex]

[tex]\\ \sf\longmapsto (50)^2-(1)^2[/tex]

[tex]\\ \sf\longmapsto 2500-1[/tex]

[tex]\\ \sf\longmapsto 2499[/tex]

49 × 51

⇛(50 + 1) (50 - 1)

⇛(50)² - (1)²

⇛2500 - 1

⇛2499

Answer:

The lines are:

and

Since after multiplying by -3 the equations sum to 0, the equations are same.

Same equations produce overlapping lines, hence you can see one line only.

Divide second equation by 3

LInes are same so you can see only one line

Answer:

5√3 / 2

Step-by-step explanation:

tan 30 = ( 5 / 2 ) / y

1 / √3 = 5 / 2y

2y = 5√3

y = 5√3 / 2

Answer: TRUE

Step-by-step explanation: THE COMPOUD STATE MEN DETERMEND BY HE GRAPH IS THE SOLUTION AS SAID BY YOU IT IS TRUE BECAUSE THE READINGS ON THE GRAPH SHOW ITS TRUE

You are giving the angle and opposite leg.

Using the law of sines:

Sin(angle) = opposite leg / hypotenuse

Sin(30) = 2/ hypotenuse

Hypotenuse = 2/sin(30)

Hypotenuse = 4 meters

The maximum length of the seesaw is : (C). 4 meters

Maximum length can be defined as the total distance between two point in consideration.

Maximum length can also be said to be the total sum of all the length along a distance.

In the case above, the hypotenuse side is the maximum length.

In conclusion, The maximum length of the seesaw is : 4 meters

Learn more about  maximum length : https://brainly.com/question/16172081

#SPJ2

Answer:

The correct answer is B. It will take them 7.2 hours.

Step-by-step explanation:

Given that to collect data on the signal strengths in a neighborhood, Briana must drive from house to house and take readings, and she has a graduate student, Henry, to assist her, and Briana figures it would take her 12 hours to complete the task working alone, and that it would take Henry 18 hours if he completed the task by himself, to determine how long will it take Briana and Henry to complete the task together the following calculation must be performed:

1/12 + 1/18 = X

18 / (12 x 18) + 12 / (18 x 12) = X

30/216 = X

5/36 = X

36/5 = 7.2

Therefore, they will be able to finish the task in 7.2 hours.

Answer:

Diameter = 2 × Radius

Step-by-step explanation:

Answer:

Step-by-step explanation:

The diameter of a circle is the length of the line through the center and touching two points on its edge. In the figure above, drag the orange dots around and see that the diameter never changes. The diameter is also a chord.

Answer:

y = 4x -1.5

Step-by-step explanation:

The slope intercept form of a line is given by

y = mx+b where m is the slope and b is the y intercept

y = 4x -1.5

Step-by-step explanation:

i) [tex]\overline{AB} = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}[/tex]

[tex]\:\:\:\:\:\:\:=\sqrt{(2)^2 + (12)^2} = 12.3[/tex]

ii) [tex]m = \dfrac{y_A - y_B}{x_A - x_B} = \dfrac{-12}{2} = -6[/tex]

iii) [tex](\overline{x},\:\overline{y}) = \left(\dfrac{x_A + x_B}{2},\:\dfrac{y_A + y_B}{2}\right)[/tex]

[tex]\:\:\:\:\:\:\:=(3,\:-2)[/tex]

Answer:

12

Step-by-step explanation:

120 divided by 100 =1.2 x 10