A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+64x+89

Answer:

C) x = 8√3 ; y = 4√3

Step-by-step explanation:

In this figure, the triangle is 30°-60° right triangle.

So x/12= 2/√3, y/12 = 1/√3

Answer:

C

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

distance / rate = time

5 miles / 110 m/hr = .04545 hr = 2.727 min = 2 min 44 sec = 1/22 hr

Hi Student!

This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression.  So let's plug in the values and solve.

Plug in the values

Factor out the exponent

Combine

Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.

The measure of BE is 100

Sure hope this helps you

Answer:

See below

Step-by-step explanation:

y = - 16x^2 + 110x + 15    is a dome shaped parabola

  max will occur at x = -b/2a = -  110/(2*-16) = 3 7/16   seconds

     using this value in the equation results in y = 204  units  (feet?)

Height = 0 = -16x^2 +110x + 15     use quadratic formula

                                  with  a = -16    b = 110    c = 15    to find  7 seconds

Confirmed as of 12.14.22

Here you go! Please mark Brainliest! Tysm if you do and have a great holiday!

__________

1. $11.50

2. Distributive Property

3. x ->-4 and x -< 3

4. x = 0 or x = -3/2

5. D = all real numbers

  R = {y | y -> 0}

6. y = 12/13x - 10/13

  slope: 12/13; y-intercept: -10/13

7. y - 3 = 4/9 (x - 9)

8. (1/4, -7); x = 1/4; translated to the right 1/4 unit and down 7 units.

9. Graph C (representing the inequality y -< x/2 - 3)

10. Graph C (representing the system {x -> 0, y -< -1/8x + 5, y -> 5/8x - 1)

11. [ -12  -13  13  |  -15]

    [ 7     -10   -3  |   11]

    [ 7      14    5  |    -5]

12. Graph C (representing y = 3(x - 3)^2 + 3)

13. The pumpkin's maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

14. 4x^2 + 3x - 6

15. 7/2 -+ sqrt17/2

16. -15

17. (0,3), (3,0)

18. -3. -2. 2

19. Graph C (Goes vertically down, up, then down again.)

20. -6, -2

21. 2, -2, 4i, -4i

22. s^4 + 15s^4 v + 90s^3 v^2 + 270s^2 b^3 + 405sv^4 + 243v^5

23. y = x - 2

24.  f(x) = 295(1.07)^x; 338

25. y = 497(1/2)^38x; 462.029 kg

26. 4

27. 1.03

28. 4.55

29. r = Q/8s^2

30. x = 2

31. Constant of variation: -1/3

    x = -63

32. (-1, 7, 5)

33. (x + 4)(6x + 7

______________________________________________

Answer:

6 + 8x

Step-by-step explanation:

Answer:

1. 0.75

2. 0.15

3. 1

Step-by-step explanation:

1. P(student is female) = 1 - 0.25 = 0.75

2. P(student is male and does not walk to school) = 0.25 × 0.6 = 0.15

3. P(student walks to school or does not walk to school) = 0.4 + 0.6 = 1

Answer:

The sum of the probabilities of all possible outcomes is 1.

Given:

Therefore:

Part (a)

[tex]\begin{aligned}\sf P(\textsf{female}) & = 1 - 0.25\\ & = 0.75\\ & = 75\%\end{aligned}[/tex]

Part (b)

[tex]\begin{aligned}\sf P(\textsf{does not walk to school}) & = 1 - 0.4\\ & = 0.6\\ & = 60\%\end{aligned}[/tex]

[tex]\begin{aligned}\implies\sf P(\textsf{student is male and does not walk to school}) & = 0.25 \times 0.6\\ & = 0.15\\ & = 15\%\end{aligned}[/tex]

Part (c)

[tex]\begin{aligned}\implies\sf P(\textsf{student walks to school or does not walk to school}) & = 0.4+0.6\\ & = 1\\ & = 100\%\end{aligned}[/tex]

Yes, it is a function. Each numerical grade corresponds to one letter grade. Then the correct option is C.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Determine whether or not the situation describes a function.

The letter grade in this course is a function of your numerical grade.

Yes, it is a function. Each numerical grade corresponds to one letter grade.

Then the correct option is C.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

The surface area of the large sphere is 128π cm²

Two spheres have volumes of 8π cm3 and 64π cm3. If the surface area of the smaller sphere is 16π cm2, what is the surface area of the larger sphere?

The given parameters can be represented using the following ratio:

Small Area : Large Area = Small Volume : Large Volume

Substitute the given parameters

16π : Large Area = 8π : 64π

Express as fraction

Large/16π = 64π/8π

Multiply both sides by 16π

Large = 128π

Hence, the surface area of the large sphere is 128π cm²

Read more about volumes at:

https://brainly.com/question/3204698

#SPJ1

Answer:

111 (base 8) = 64 +8+1 =73(base10)

111 (base 2) = 4+2+1 =7(base 10)

Sum =73+7=80 (base 10)

8| 80|

8 | 10 | 0

8 | 1 | 2

8| 0 | 1

= 120 (base8)

80 (base10) = 120 (base 8)

Step-by-step explanation:

mark as brilliant

The next whole number after 111 in the base-two system is 1000.

In the base-two system (binary), the numbers are represented using only 0 and 1. After 111 in the base-two system, the next whole number is 1000.

To convert 1000 from base-two to base-ten (decimal), we can calculate as follows:

1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 0 * 2^0 = 8 + 0 + 0 + 0 = 8

So, the next whole number after 111 in the base-two system is 1000.

Learn more about (binary) at https://brainly.com/question/33366836

#SPJ3

Answer:

56

Step-by-step explanation:

Answer:

[tex]format \: examples \: )[/tex]

(30-30) = 40 RIGHT THE SIMILAR FROM 60 -40 AND CALCULATE ALL OF IT +4

ANSWER: 405

Answer:

8,999

Step-by-step explanation:

Cube root of 512 is 8.

cube root of 997002999 is 999.

Step-by-step explanation:

7

4

1

----

12

reality

6.833

3.594

1.369

----------

11.796

Answer:

B

About 16% of the books have fewer than 150 pages.

Step-by-step explanation:

Quizlet also said so

Answer: 2

Step-by-step explanation:

     We will first pull the data values.

0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3

     Now, we will find the middle data value. This is the median.

0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3

/,  /,  /, /, /, 2,  /,  /,  /,  /,  /

     Our median is 2.

Read more about finding the median here:

https://brainly.com/question/7730356

Answer:

Step-by-step explanation:

(F-G)(X)=x^4-x^3+2x-6

The variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.

It should be noted that the variable cost per unit will be calculated as:

= Difference in cost between high and low level activities / Difference in units

= (980 - 760)/(8000 - 6000)

= 220/2000

= 0.11

Therefore, the variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.

Learn more about cost on:

brainly.com/question/25109150

#SPJ1

#SPJ1

Answer:

the answer to this problem Is C. x>-3

Answer:

Step-by-step explanation:

Given : the points A(-4,-8) and B(6,16),

Let d be the distance between A and B.

Then

[tex]d=\sqrt{\left( 16-\left( -8\right) \right)^{2} +\left( 6-(-4)\right)^{2} }[/tex]

  [tex]=\sqrt{\left( 24\right)^{2} +\left( 10\right)^{2} }[/tex]

  [tex]=\sqrt{676 }[/tex]

  [tex]=26[/tex]

Answer:

4th option

Step-by-step explanation:

the distributive property is

a(b + c) = ab + ac

that is each term in the parenthesis is multiplied by a

Answer:

a(b+c)=ab+ac

Step-by-step explanation:

The distributive property is when it distributes the outside variable with whatever is in the parenthesis.

For example, 2(1+3) is 2(1)+2(3)= 2+6=8.

Answer:

if I remember I did this two days ago its was c

Answer:

y = 9

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y = 12 when x = 6

12 = [tex]\frac{k}{6}[/tex] ← multiply both sides by 6 to clear the fraction

72 = k

y = [tex]\frac{72}{x}[/tex] ← equation of variation

when x = 8 , then

y = [tex]\frac{72}{8}[/tex] = 9

The break-even point (rounded to the nearest dollar) for Evergreen Corporation for the current year is: A. $1,724,138.

First step is to calculate the Variable costs

Variable costs = $500,000 + $250,000 + $275,000 + $750,000

Variable costs = $1,775,000

Second step is to calculate the Contribution margin ratio

Contribution margin ratio = (Sales - Variable costs) / Sales

Contribution margin ratio= ($3,500,000 - $1,775,000) / $3,500,000

Contribution margin ratio= 0.493×100

Contribution margin ratio =49.3%

Now let calculate the Break-even point

Break-even point = Fixed costs / Contribution margin ratio

Break-even point= ($600,000 + $250,000) / 0.493

Break-even point= $1,724,137.9

Break-even point =$1,724,138 (Approximately)

Therefore the break-even point (rounded to the nearest dollar) for Evergreen Corporation for the current year is:$1,724,138.

Learn more about break-even point here:https://brainly.com/question/24071019

#SPJ1

Force (F) = WSin(angle)

F = 2000×Sin(10)

Therefore, F = 347lb.

The approximate base area of the resulting figure is 79 in²

An equation is an expression that shows the relationship between two or more numbers and variables.

The resulting figure formed from the rotation is a cylinder with a radius of 5 inches and height of 4 inches

Area of base = π * radius² = π * 5² = 79 in²

The approximate base area of the resulting figure is 79 in²

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be negative 9.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The parabolic equation of the function is given below.

y = 6 (x - 0.5) (x + 3)

Then the y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be

We know that for the y-intercept, the value of x is zero. Then we have

y = 6 (x - 0.5) (x + 3)

y = 6 (0 - 0.5)(0 + 3)

y = 6 (-0.5)(3)

y = -9

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

[tex]\displaystyle f(x) = 3x^2 + 2x + 5\text{ and } g(x) =2x^2 - 4x -2\text{ or } \\ \\ f(x) = 3x^2 + 5 \text{ and } g(x) = x^2 - 4x -2[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = 3x^2 + mx +5 \text{ and } g(x) = nx^2 - 4x -2[/tex]

And that:

[tex]\displaystyle h(x) = f(x)\cdot g(x)[/tex]

With the given conditions that (1, -40) and (-1, 24) satisfy the new function, we want to determine functions f and g.

First, find h:

[tex]\displaystyle \begin{aligned} h(x) & = f(x)\cdot g(x) \\ \\ & = (3x^2 + mx +5)(nx^2 - 4x -2) \end{aligned}[/tex]

Because (1, -40) and (-1, 24) are points on the graph of h, we have that h(-1) = 40 and h(-1) = 24. In other words:

[tex]\displaystyle \begin{aligned} h(1) = -40 & = (3(1)^2 + m(1) +5)(n(1)^2 - 4(1) -2) \\ \\ & = (3 + m +5)(n-4 -2) \\ \\ & = (m+8)(n-6) \\ \\ -40 &= mn-6m+8n-48 \end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned} h(-1) = 24 & = (3(-1)^2 + m(-1) +5)(n(-1)^2 -4(-1) -2) \\ \\ & = (3 - m +5)(n + 4 -2) \\ \\ & = (-m+8)(n+2) \\ \\ 24 & = -mn -2m + 8n +16 \end{aligned}[/tex]

Solve the system of equations. Adding the two equations together yield:

[tex]\displaystyle -16 = -8m+16n - 32[/tex]

Solve for either m or n:

[tex]\displaystyle \begin{aligned} -16 & = -8m + 16n - 32 \\ \\ 16 & = -8m + 16n \\ \\ 8m & = 16n - 16 \\ \\ m & = 2n -2\end{aligned}[/tex]

Substitute this into one of the two equations above and solve:

[tex]\displaystyle \begin{aligned} -40 & = mn - 6m + 8n - 48 \\ \\ 0 & = (2n-2)n -6 (2n-2) + 8n -8 \\ \\ &= (2n^2 - 2n) + (-12n + 12) +8 n - 8 \\ \\ & = 2n^2 -6n + 4 \\ \\ & = n^2 - 3n + 2 \\ \\ &= (n-2)(n-1) \\ \\ & \end{aligned}[/tex]

Therefore:

[tex]\displaystyle n = 2 \text{ or } n = 1[/tex]

Solve for m:

[tex]\displaystyle \begin{aligned}m &= 2n-2 & \text{ or } m & = 2n-2 \\ \\ & = 2(2) - 1 &\text{ or } & =2(1) -2 \\ \\ &= 2 &\text{ or } & = 0 \end{aligned}[/tex]

Hence, the values of n and m are either: 2 and 2, respectively; or 1 and 0, respectively.

In conclusion, functions f and g are:

[tex]\displaystyle f(x) = 3x^2 + 2x + 5\text{ and } g(x) =2x^2 - 4x -2\text{ or } \\ \\ f(x) = 3x^2 + 5 \text{ and } g(x) = x^2 - 4x -2[/tex]

Answer:

A) x=3

Step-by-step explanation:

I guess it's : [tex]x^{3} =27[/tex]
[tex]x^{3} =27[/tex]
[tex]x=\sqrt[3]{27}[/tex]
[tex]x = 3[/tex]

Answer:

59 cm

Step-by-step explanation:

First, we can do 46x2=92 to find one part of the perimeter. 210-92=118. 118/2=59. So the length is 59.