An object is dropped from a height of 400 feet. The amount of time, in seconds, the object takes to hit the ground can be found by solving the equation - 16r2 + 400 = 0. How many seconds will it take to hit the ground?
05
O 5 or-5
O 12
O 25​

Answers

Answer 1

It will take 5 seconds for the object to hit the ground

How many seconds will it take to hit the ground?

From the question, we have the following equation that can be used in our computation:

-16r^2 + 400 = 0

So, we have

- 16r^2 = -400

Divide by -16

This gives

r^2 = 25

Take the square root of both sides

r = 5

Hence, the number of seconds is 5

Read more about height function at

https://brainly.com/question/10837575

#SPJ1


Related Questions

solvesolveslvesolbesolve

Answers

The maximum value of z = 28.  I occurs at (x, y) = 4

How to go about this  ?

To solve thhis linear programming problem, we can use the graphical method..

Graph the feasible region defined   by the constraints.....

x >= 0 and y >= 0 represent the non-negative quadrants.

x + y < = 8   represents the area below the line passing through ( 8, 0) and (0, 8).

x + y >= 2 represents the area above the line passing through (  2 , 0) and (0 , 2).

Identify the corner points of the feasible region  .....

(0,  2)

 (  2, 0)

(   4, 4)

( 8, 0 )



Calculate tthe objective function at each corner point....

z(0,   2  ) = 3(0) + 4(2) = 8

z (2, 0  ) = 3(2) + 4(0) = 6

z(4, 4  ) = 3(4) + 4(4) = 28

z (  8, 0) = 3(8) + 4(0) = 24

Determine the    maximum value of the objective function and the values of x and y that give this maximum value

The maximum value of z is 28, which occurs at the corner point (4, 4).

So we c can be stated as follows --

Maximum value of z = 28

x = 4

y = 4

Learn more about maximum value:
https://brainly.com/question/14316282
#SPJ1

Four cars are for sale. The red car costs $15,000, the blue car costs $18,000, the green car costs $22,000, and the white car costs $20,000. Use the table to identify all possible samples of size n = 2 from this population and their sample minimums. The first sample is done for you.


Sample
n = 2 R, B R, G R, W B, G B, W G, W
Costs
($1000s) 15, 18 15, 22 15, 20 18, 22 18, 20 22, 20
Sample
Mean 15 15 15 18 18 20

What is the mean of all six sample minimums?

What is the value of the population minimum?

Is the sample minimum an unbiased estimator of the population minimum?

Answers

Answer:

Step-by-step explanation:The six sample minimums are 15, 15, 15, 18, 18, and 20.

To find the mean of all six sample minimums, we add them up and divide by 6:

(15 + 15 + 15 + 18 + 18 + 20) / 6 = 16.1667

So the mean of all six sample minimums is $16,166.67.

The population minimum is the smallest cost among the four cars, which is $15,000.

The sample minimum is a biased estimator of the population minimum. Since the samples are of size 2, the probability of obtaining the population minimum as the sample minimum is only 1/3 (when the minimum of the two cars selected is the population minimum). Therefore, the sample minimum tends to underestimate the population minimum.

Sarah's bird feeder holds 1/2 of a cup of birdseed. Sarah is filling the bird feeder with a scoop that holds 1/4 of a cup. How many scoops of birdseed will Sarah put into the feeder?

Answers

The number of scoops of birdseed Sarah puts in the feeder n = 2

Given data ,

Let the number of scoops of birdseed Sarah puts in the feeder be n

While utilizing a scoop that can contain 1/4 cup of birdseed, Sarah's bird feeder holds 1/2 cup of birdseed. We must divide the capacity of the bird feeder by the capacity of the scoop to determine how many scoops Sarah will add to the feeder.

On simplifying the equation , we get

1/2 ÷ 1/4 = n

n = 1/2 x 4/1

n = 4/2

n = 2 scoops

Hence , the equation is solved and n = 2

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

I need help! pls and thank u! ​

Answers

Evaluating the given function, we can see that the intensity at 35 cm is 0.816

How to find the intensity at 35 cm from the source?

The intensity at a distance d in centimeters is given by the function:

I = 100*d⁻²

Here we want to find the intensity at 35 centimeters from the source, then we need to evaluate the function above at d = 35, doing that we will get:

I = 100*35⁻²

I = 100/(35²)

I = 0.816

The intensity at 35 centimeters from the source is 0.816.

Learn more about evaluating at:

https://brainly.com/question/1719822

#SPJ1

The table of values below represent an exponential function. Write an exponential equation that models the data. x y -2 26 -1 18.2 0 12.74 1 8.918 2 6.2426 a. y = 18.2 (1.7) Superscript x c. y = 26 (0.7) Superscript x b. y = 12.74 (1.3) Superscript x d. y = 12.74 (0.7) Superscript x

Answers

An exponential equation of the function that models the data given is y = 12.74 (0.7)ˣ.

Given a table of values that represent an exponential function.

An exponential equation is of the form,

y = a (b)ˣ

When x = 0, y = 12.74

12.74 = a (b)⁰

12.74 = a [since b⁰ = 1]

So a = 12.74

When x = 1, y = 8.918

Substituting,

12.74 b = 8.918

b = 8.918 / 12.74

b = 0.7

Hence the equation is option D) y = 12.74 (0.7)ˣ.

Learn more about Exponential equations here :

https://brainly.com/question/29506679

#SPJ1

Consider the quadratic function f (x) = 2x² - 16x + 24. Complete the square to rewrite the function in the form
f(x)= a(x-h)² + k.
f(x) =

Answers

The quadratic function f(x) = 2x² - 16x + 24 can be rewritten in the vertex form f(x) = 2(x - 4)² + 4.

What is the vertex form of the given function?

Given the function in the question:

f(x) = 2x² - 16x + 24

To determine the vertex form f(x) = a(x-h)² + k, we need to complete the square.

Factor out the leading coefficient of 2:

f(x) = 2x² - 16x + 24

f(x) = 2(x² - 8x + 12)

To complete the square, we need to add and subtract the square of half of the coefficient of x:

f(x) = 2[(x² - 8x + 16) - 4] + 8

Since (x² - 8x + 16) is a perfect square trinomial, we factored as (x - 4)².

f(x) = 2[(x - 4)² - 4] + 8

Now we can simplify and rewrite in the desired form:

f(x) = 2(x - 4)² - 4 + 8

f(x) = 2(x - 4)² + 4

Therefore, the vertex form is f(x) = 2(x - 4)² + 4.

Learn more about vertex form here: https://brainly.com/question/29185886

#SPJ1

7. Based on an exponential model of the data, what is the predicted value of Variable 2 when
Variable 1 = 2?
Round your answer to the nearest whole number.
Variable 1:
10
20
30
40
50
60
70
80
90
100
variable 2:
100
80
52
40
35
25
17
11
10
7

Answers

Answer:

  128

Step-by-step explanation:

You want a prediction for x=2 when the given data is modeled by an exponential model.

x = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100y = 100, 80, 52, 40, 35, 25, 17, 11, 10, 7

Model

A graphing calculator's exponential regression function models this data with the formula ...

  y = 135.7 · 0.9711^x

  y = 137.7 · 0.9711^2 ≈ 127.94 . . . . when x=2

This model gives a value for variable 2 of approximately 128 when variable 1 = 2.

<95141404393>

Classify the function type of f(x) = x+2−−−−−√3
x
+
2
3
A. square root
B. cube root
C. quadratic
D. exponential

Answers

The function type of f(x) = √3x + 2 is A. square root

Classifying the function type of f(x)

From the question, we have the following parameters that can be used in our computation:

f(x) = √3x + 2

In the above function, we have the notation

The notation √ is a square root notation

This means that the function type of f(x) is A. square root

Read more about functions at

https://brainly.com/question/28532394

#SPJ1

#3 i
Cylinder A and Cylinder B are similar. Find the surface area of Cylinder B. Give your answer in terms of pi.

Answers

The volume of the small cylinder is 36π

What are similar shapes?

Similar figures are two figures having the same shape. The two cylinders are similar but of different radius and height.

The height of the big cylinder is calculated as

V = πr²h

h = V/ πr²

h = 144π/π36

h = 144/36

h = 4 cm

Therefore the scale factor = 4/2

area factor =( 4/2)² = 16/4

therefore the volume of the cylinder is;

16/4 = 144π/ x

16x = 144π × 4

16x = 576

dividing both sides by 16

x = 576/16

x = 36π

therefore the volume of the small cylinder is 36π.

learn more about similar shape from

https://brainly.com/question/28719932

#SPJ1

Find the volume of the following Cylinders Diameter 150mm, height 100m​

Answers

To find the volume of a cylinder, we use the formula:

V = πr^2h

where V is the volume, r is the radius, h is the height, and π is pi (approximately 3.14).

First, we need to convert the diameter to radius:

radius = diameter / 2 = 150 mm / 2 = 75 mm

Next, we can plug in the values we know and solve for V:

V = πr^2h
V = π(75 mm)^2(100 mm)
V = 1,767,145 mm^3

Therefore, the volume of the cylinder is 1,767,145 cubic millimeters (or approximately 1.77 cubic meters).

Answer:

I am not sure if you wanted the answer in mm or m.  I gave the answer is m

v =  0.58875[tex]m^{3}[/tex]

Step-by-step explanation:

v = 1/3[tex]\pi r^{2} h[/tex]

v = 1/3 (3.14)([tex].075^{2}[/tex])(100)    The diameter 150mm is .0150m  Take have of that to find the radius

v =  0.58875[tex]m^{3}[/tex]

Rebecca Kate Foster is starting a new job. She is 23 years old and graduated from college
with no student loan debt. This is her only job, and she makes a salary that allows her to
bring home $3,300 a month. She's not married and has no children or anyone else who
is supported by her income. Over the past year, she has given a total of $3,960 to charity.
Her address is 1234 Main St., New York, NY 12345, and her Social Security number is
123-45-6789.

Answers

Note that the above prompt requires you to under stand what a W-4 form is  and how to complete one.

What is the process for comleting the W-4 form?

Rbecca needs to s tart by entering your personal information in boxes 1-4, including your name, address, Social Security number, and filing status. In this case, Rebecca Kate Foster's information is:

Box 1: Rebecca Kate Foster

Box 2: 1234 Main St.

Box 3: New York, NY 12345

Box 4: 123-45-6789

Box 5: Single

In box 6, write "1" since Rebecca only has one job.

Rebecca can claim the standard deduction or itemize deductions in box 7. She may benefit from itemizing deductions because she has donated $3,960 to charity in the last year.

Rebecca can claim whatever excess tax withholding she wants each paycheck in box 8. She may not need to withhold any further taxes because she has no dependents and is not married. If she prefers, she can leave this section blank.

Rebecca can claim any extra withholding for the year in box 9. If she anticipates to owing taxes at the end of the year, she may want to withhold more from each paycheck to prevent a hefty tax payment later. If she anticipates a reimbursement, she should withhold less. She can use the IRS's withholding calculator to determine the right amount.

Finally, sign and date the form in box 5 before submitting it to your company.

Learn more about W-4 Form at:

https://brainly.com/question/15507745

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

DIRECTIONS Read the scenario below and fill out the W-4 form using the information provided. Then, read the W-2 form and answer the questions that follow. W-4 Form Rebecca Kate Foster is starting a new job. She is 23 years old and graduated from college with no student loan debt. This is her only job, and she makes a salary that allows her to bring home $3,300 a month. She’s not married and has no children or anyone else who is supported by her income. Over the past year, she has given a total of $3,960 to charity. Her address is 1234 Main St., New York, NY 12345, and her Social Security number is 123-45-6789.

(HURRY PLEASE!!) First, a graph of f(x) = -x + 3 is drawn. Then, three graphs of k(-x + 3) are drawn, for k = -1, -2, -3. Which will be true of these three graphs? A. Their slopes will be the same as the slope of f(x), and their x-intercepts will be the same as the x-intercept of f(x). B. Their slopes will be the same as the slope of f(x), and their x-intercepts will be different from the x-intercept of f(x). C. Their slopes will be different from the slope of f(x), and their x-intercepts will be the same as the x-intercept of f(x). D. Their slopes will be different from the slope of f(x), and their x-intercepts will be different from the x-intercept of f(x).

Answers

The true statement about the graphs:

Their slopes will be different from the slope of f(x), and their x-intercepts will be the same as the x-intercept of f(x).

The correct answer is an option (C)

First we draw a graph of function f(x) = -x + 3.

Find the graph in attached figure.

the x-intercept of f(x) is:

0 = -x + 3

i.e., x-intercept = (3, 0)

Then, three graphs of k(-x + 3) are drawn, for k = -1, -2, -3.

Let g(x) = -1(-x + 3)

The x-intercept of g(x) would be,

0 = -1(-x + 3)

i.e., x-intercept = (3, 0)

Let h(x) = -2(-x + 3)

The x-intercept of h(x) would be,

0 = -2(-x + 3)

2x = 6

i.e., x-intercept = (3, 0)

Let t(x) = -3(-x + 3)

The x-intercept of t(x) would be,

0 = -3(-x + 3)

3x = 9

i.e., x-intercept = (3, 0)

the graph of functions g(x), h(x) and t(x) is shown below.

We can observe that the x-intercept is same for all graphs but the slopes are different.

Therefore, the correct answer is an option (C)

Learn more about the function here:

https://brainly.com/question/28193995

#SPJ1

If the amount of food available is increased, then the cricket frog population will (increase/decrease/stay the same) over the span of five years.

Answers

It will increase if we don’t take other factors into consideration
It is difficult to determine the impact of an increase in food availability on the cricket frog population without additional information. Other factors such as predation, disease, and competition for resources can also affect the population size. Therefore, I cannot provide a definitive answer.

For the ordered stem-and-leaf plot given, find:
a. the minimum value
b. the maximum value
c. the number of data with values greater than 25.
d. the number of data with values of at least 40.
e. the percentage of the data with value less than 15.​

Answers

From a stem-and-leaf plot,

1. The minimum value = 13

2. The maximum value = 62

3. The number of data with values greater than 25 = 16

4. The number of data with values of at least 40 = 4

5. The percentage of the data with value less than 15 = 6.25%

We know that on a stem and leaf plot, the minimum is the first value and the maximum is the last value.

From the stem-and-leaf plot,

a) the minimum value is 13

b) the maximum value is 62

c) the number of data with values greater than 25:

26, 27, 28, 28, 31, 31, 32, 34, 34, 35, 38, 39, 42, 43, 47, 62

So, the number of data with values greater than 25 = 16

d) the number of data with values of at least 40:

42, 43, 47, 62

So, the required number = 4

e) the percentage of the data with value less than 15:

the data with values less than 15 are: 13, 14

So, the number of  the data with values less than 15 are: 2

The total number of data values = 32

So, the required percentage would be,

P = (2/32) × 100

P = 6.25%

Learn more about the stem-and-leaf plot here:

https://brainly.com/question/12857419

#SPJ1

What is the slope of a line that passes through the points (-2, 3) and (4, -12)?Choices -3/2 -5/2 -2/5 -9/2

Answers

Answer:

B) - 5/2

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

To find the slope use the slope formula:

[tex]m=\cfrac{y_2-y_1}{x_2-x_1}[/tex],   where, [tex]x_1=-2,\ y_1=3,\ x_2=4,\ y_2=-12[/tex]

Substitute the coordinates into slope formula to get the slope:

[tex]m=\cfrac{-12-3}{4-(-2)}=\cfrac{-15}{6}=-\cfrac{5}{2}[/tex]

The matching choice is B.

You deposit $1200 in an account. Your account earns 2.6% simple interest rate. What is the balance of the account after an additional 3 months? Round to the nearest penny, if necessary.

Answers

Answer: $1,293.60

Step-by-step explanation:

what point on number line is 7/9 the way from the point -3.6 to the point 10?

Answers

The point on the number line that is 7/9 of the way from -3.6 to 10 is approximately 6.97777777778.

To find the point on the number line that is 7/9 of the way from -3.6 to 10, we can use the following formula:

Point = Starting point + (Fraction of distance) x (Total distance)

In this case, the starting point is -3.6, the total distance is the distance from -3.6 to 10 (which is 10 - (-3.6) = 13.6), and the fraction of distance is 7/9.

Plugging in these values, we get:

Point = -3.6 + (7/9) x (13.6)

Simplifying,

Point = -3.6 + (7/9) x (13.6)

Point = -3.6 + 9.9556

Point = 6.97777777778

To learn more about fractions;

https://brainly.com/question/10354322

#SPJ1

Factor cards is a one - player game using numbered cards. To begin with, all cards are in a central pile with their numbers visible. At each turn , exactly one card is moved from the central pile to the score pile and one or more cards are moved from central pile to the discard pile according to these rules.
Rule 1: A card may be moved to the score pile only if the number on the card has at least one of its factors, other than itself, still on the central pile.
Rule 2: When a card is moved to the score pile, all the cards that have factors of its number and are still in the central pile are moved to the discard pile.
Play stops when no card in the control pile has a factor other than itself in the central pile. The players score is the sum of all numbers on the cards in the score pile at the end of play.
In the following questions, the game starts with 20 cards numbered 1 to 20 and are therefore called 20-games.
A) Show steps that will produce a score of more than 100 points in a 20- game
B) What is the maximum score for a 20- game. Explain why it is the maximum
C) Explain why every 20- game ends with 8 or fewer cards in the score pile .

Answers

The match terminates as soon as the central heap runs out of cards whose factor are not present elsewhere, resulting in a score of 92 - falling short from 100.

How to explain the information

It should be noted that to acquire a higher point achievement, alternative approaches can be tested; however, reaching beyond the hundred mark is not guaranteed.

Conversely, with each 20-game, the final outcome should contain 8 or fewer pieces in the tally pile since there are strictly 17 cards eligible to be shifted into this collection. Subsequently, due to the 138 maximum points potential (stated in part B), and the entire set amounting for 210 points - the minimum count for items within the discard pool will be 3 (as calculated from 20 - 17).

Learn more about word problem on

https://brainly.com/question/21405634

#SPJ1

The sum of four consecutive integers is 250. What is the greatest of these integers?

Answers

The greatest of the given integers is 64.

Given that, the sum of four consecutive integers is 250. We need to find what is the greatest of these integers.

Let the consecutive integers be = x, x+1, x+2, x+3

Therefore,

x + x+1 + x+2 + x+3 = 250

4x + 6 = 250

2x + 3 = 125

2x = 122

x = 61

Therefore, the greatest integer = 61 + 3 = 64

Hence, the greatest of the given integers is 64.

Learn more about consecutive integers click;

https://brainly.com/question/1767889

#SPJ1

At a large university, 20% of students are enrolled in the nursing program. The dean of students selects a random sample of 20 students and records n the number of students enrolled in the nursing program. What is an appropriate assignment of digits to the outcomes for a simulation of this random process? = O Let 1 = the student is enrolled in the nursing program. Let 2-5 = the student is not enrolled in the nursing program. Skip the digits 6-9, and 0. ○ Let 0 and 1 = the student is enrolled in the nursing program. Let 2-5 = the student is not enrolled in the nursing program. Skip the digits 6, 7, 8, 9, and 0. O Let 1 = the student is enrolled in the nursing program. Let 2-9 = the student is not enrolled in the nursing program. Skip the digit 0. O Let 1 and 2 = the student is enrolled in the nursing program. Let 3-9 = the student is not enrolled in the nursing program. Skip the digit 0.​

Answers

An appropriate assignment of digits to the outcomes for a simulation of this random process would be:

Option 1: Let 0 and 1 = the student is enrolled in the nursing program. Let 2-5 = the student is not enrolled in the nursing program. Skip the digits 6, 7, 8, 9, and 0.

This option assigns two digits, 0 and 1, to represent the two possible outcomes: a student is either enrolled in the nursing program (outcome 1) or not enrolled (outcome 2-5). The digits 2-5 represent the non-nursing program outcomes, and the digits 6-9 and 0 are skipped.

Option 1 is appropriate because it assigns a unique digit to each possible outcome, and the skipped digits are not relevant to the simulation. Additionally, the proportion of digits assigned to each outcome (2 out of 10) corresponds to the proportion of students in the nursing program (20%).

Question 1 (Multiple Choice Worth 6 points)
(02.08 MC)
The table of values forms a quadratic function f(x)
x f(x)
-5-28
-40
-3 20
-2 32
-1 36
0 32
1 20
What is the equation that represents f(x)?
Of(x)=x²-2x+8
Otx) = 4x² + 8x-32
Of(x)=x²+2x-8
Of(x)=-4x2²-8x+32

Answers

Answer:

The answer to this question is --> f(x) = -4x^2-8x+32

Hope this helps

b) Find the value of w. Sive each answer as an integer or as a fraction in its simplest form 4 cm A 7 cm 12 cm 3 cm B W cm 9 cm​

Answers

The calculated value of w from the similar triangles is 21/4

Calculating the value of w

From the question, we have the following parameters that can be used in our computation:

Similar triangles A and B

Also from the similar triangles, we have the following proportional relation

4    7     12

3    W     9

Using the above as a guide, we have the following equation

4/3  =  7/W  =   12/9

So, we have

W * 12 = 7 * 9

Evaluate the products and divide both sides by 12

W = 21/4

Hence, the value of W is 21/4

Read more about similar shapes at

https://brainly.com/question/14285697

#SPJ1


If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage e for a child of age a, pharmacists use the equation c = 0.0417D(a + 1).

Suppose the dosage for an adult is 150 mg.
(a) Find the slope of the graph of e. (Round your answer to two decimal places.)
P
What does it represent?

The slope represents the Select of the dosage for a child for each change of 1 year in age.
(b) What is the dosage for a newborn? (Round your answer to two decimal places.)
ma

Answers

a) The slope shows that the appropriate dose c for an older child increases by 6.225 mg if the child is one year older.

b) The dose for newborn baby is: 6.225 mg

How to interpret the slope?

The equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

(a) Let a be an age of an child in years. Then:

c = 0.0417Da + 0.0417D

Where D is a constant

Since D = 150 mg, then we have:

The slope of the graph = 0.0417(150)

= 6.225 mg/year

The slope shows that the appropriate dose c for an older child increases by 6.225 mg if the child is one year older.

(b) Newborn baby:  a=0

Thus:

c(0) = 0 + 6.225

= 6.225 mg

Read more about Slope at: https://brainly.com/question/3493733

#SPJ1

please help for question 3​

Answers

Reflecting the triangle Q over the line y = 1 would map it onto triangle T

Reflecting the triangle P

Reflection over line x = 1

This means that we draw a vertical line that passes through x = 1

And then we create a triangle that is a mirror of the triangle P across the reflection line

The reflection of the triangle is attached

Reflection over line y = 2

This means that we draw a vertical line that passes through y = 2

As done in part (a), we then create a triangle that is a mirror of the triangle P across the reflection line

The reflection of the triangle is also attached

Description of the transformation

Using the same transformation rule above;

A reflection over the line y = 1 would map the triangle Q onto triangle T

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1

Solve the simultaneous equation graphically : x + y = 3 and 3x - y = 1.
( Taking the range of values of x from - 1 to +3​

Answers

Answer:

x + y = 3 and 3x - y = 1.

Step-by-step explanation:

For the equation x + y = 3, we can find the x-intercept by setting y = 0 and solving for x:

x + 0 = 3

x = 3

So the x-intercept is (3, 0). Similarly, we can find the y-intercept by setting x = 0 and solving for y:

0 + y = 3

y = 3

So the y-intercept is (0, 3). We can plot these two points and draw a straight line through them to represent the equation x + y = 3. The resulting line has a slope of -1 and a y-intercept of 3.

For the equation 3x - y = 1, we can find the x-intercept by setting y = 0 and solving for x:

3x - 0 = 1

x = 1/3

So the x-intercept is (1/3, 0). Similarly, we can find the y-intercept by setting x = 0 and solving for y:

3(0) - y = 1

y = -1

So the y-intercept is (0, -1). We can plot these two points and draw a straight line through them to represent the equation 3x - y = 1. The resulting line has a slope of 3 and a y-intercept of -1.

Now, we can visually determine the point where the two lines intersect, which represents the solution to the simultaneous equation. We can do this by looking at the graph and finding the point where the two lines intersect. Using the given range of values of x from -1 to +3, we can plot the two lines and find their intersection point:

[i dont know wheres the graph image but just show it so you can explain that]

The intersection point is approximately (1.1, 1.9), which is the solution to the simultaneous equation x + y = 3 and 3x - y = 1.

Al had ____ Pennie’s initially

Answers

AI initially had 786,432 pennies.

We have,

Let P be the initial number of pennies AI had.

According to the problem:

AI gives 3/8 of P pennies to Bev.

Bev gives 3/8 of what she got from AI to Carl.

Carl gives 3/8 of what he got from Bev to Dani.

Set up an equation to solve for P.

Let's start by finding how many pennies Dani gets from Carl:

Carl gives 3/8 of what he got from Bev to Dani, so Dani gets:

(3/8) x (3/8) x (3/8) x P pennies from Carl.

Next, let's find how many pennies Carl gets from Bev:

Bev gives 3/8 of what she got from AI to Carl,

So Carl gets (3/8) x (3/8) x P pennies from Bev.

Now we can substitute this expression for the number of pennies Carl gets from Bev into the expression for the number of pennies Dani gets from Carl:

Dani gets (3/8) x (3/8) x (3/8) x P pennies from Carl = (3/8) x (3/8) x (3/8) x (3/8) x P pennies from Bev =  (3/8) x (3/8) x (3/8) x (3/8) x (3/8) x P pennies from AI.

We know that Dani gets 378 pennies, so we can set this expression equal to 378 and solve for P:

(3/8) x (3/8) x (3/8) x (3/8) x (3/8) x P = 378

Simplifying this expression:

P = 378 x (8/3) x (8/3) x (8/3) x (8/3) x (8/3)

P = 786,432

Therefore,

AI initially had 786,432 pennies.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

A function, f(x), has degree of 4. If f(x) has 2 complex zeros then how many real zeros does it have?

Answers

If it has 2 complex zeros, then it must have 2 real zeros.

How many real zeros does it have?

Remember that the number of zeros that a polynomial of degree N has is also N.

For example in functions like:

f(x) = x^N

We can say that the zero x = 0 has a multiplicity of N, so we have N equal zeros.

Then a polynomial of degree 4 has 4 zeros, if two are complex, then the other two are real zeros.

So we conclude that the answer is 2.

Learn more about polynomials at:

https://brainly.com/question/4142886

#SPJ1

solve for x by using the quadratic formula 20x^2-33x+10=0

Answers

The quadratic formula is:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In the equation 20x^2 - 33x + 10 = 0, a = 20, b = -33, and c = 10. Substituting these values into the quadratic formula, we get:

x = (-(-33) ± sqrt((-33)^2 - 4(20)(10))) / 2(20)

Simplifying the expression under the square root:

x = (33 ± sqrt(33^2 - 4(20)(10))) / 40

x = (33 ± sqrt(729)) / 40

x = (33 ± 27) / 40

So the two solutions to the equation are:

x = 3/4 or x = 1/2

Can u mark my answer as the Brainlyest if it work Ty

3 dependent events. A bag contains ten balls. Six of the balls are green. A ball is chosen at random. The ball is replaced and then a second ball is chosen at random. Work out the probability that: a)both balls are green b)neither ball is green​

Answers

The Probability of both balls being green is  0.36 or 36%

b) The Probability of neither ball being green is 0.16 or 16%

What is the Probability  about?

Based on question A,  To find the probability that both balls are green, we use the equation below:

P (both green) = P (first green) x P (second green)

= (6/10) x (6/10)

= 36/100

= 9/25

=0.36

b) To find the probability that neither ball is green,  we use the formula below:

P (neither green) = P (first not green) x P (second not green)

= (4/10) x (4/10)

= 16/100

= 4/25

=0.16.

Therefore, the statement will be:  The Probability of both balls being green: 0.36 and the probability of neither ball being green is 0.16

Learn more about Probability from

https://brainly.com/question/24756209

#SPJ1

Give me the domain and range
Tell me if the graph is a function or not

Answers

The domain and range of the graph are domain = [-2, 5] and range is [-6, 2] and the graph is not a function

Calculating the domain and range of the graph

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the x values to be

x = -2 to 5

On the graph, we have the y values to be

y = -6 to 2

This means that domain = [-2, 5] and range is [-6, 2]

If the graph is a function or not

The graph is the graph of a circle

A circle does not represent a function

Hence, the graph is not a function

Read more about domain at

https://brainly.com/question/2264373

#SPJ1

Other Questions
Which statements describing the Magna Carta are accurate?Choose all (2) answers that are correct.A. It granted English nobles the authority to elect the king.B. It gave the Church of England the right to choose its own bishops.C. It was an important step toward the idea of constitutional government.D. It forced King John to abdicate the throne and live in exile in Ireland a game of chance consists of spinning an arrow on a 3 circular board, divided into 8 equal parts, which comes to rest pointing at one of the numbers 1, 2, 3, ..., 8 which are equally likely outcomes. what is the probability that the arrow will point at (i) an odd number? Question 7 (10 points] Find all distinct real or complex) eigenvalues of A. Then find the basic eigenvectors of A corresponding to each eigenvale For each eigenvalue, specify the number of basic eigenevectors corresponding to that eigenvaluea=[8 -15][6 -10]number of distinct eigenvalues=number of vectors= Question 3: Assume that we are working in body centered cubic structure, draw the planes (100), (010) (101) on the map , a line of length 5cm represents 40km, how many kilometers would a line of length 7 1/2 cm represents From the virtual lab experiment, did the length of UV exposure time affect the growth of microbes? Describe the correlation and explain why. What three ethical principles were elaborated on in The Belmont Report? a patient's lipid profile indicates hyperlipidemia. which rationale supports the nurse advising the patient to consume a diet to increase high -density lipoprotein levels? Question 12 Marks: 1 In large pools with outlets more than 5 feet from the end wall, pool inlets should be locatedChoose one answer. a. every 30 feet b. every 10 feet c. every 20 feet d. every 5 feet shown below is the voltage and current of some circuit element. (a) find vptq and iptq. (b) express these as phasors v and i. (c) is the circuit element an inductor or a capacitor? what is the value of the inductance/capacitance? 3Extremist groups typically mix radical beliefs or values with anger over some aspect of society.OA. TrueOB. False Write the equation for the inverse of the function. y=pi/2+sinx According to the excerpt , why did this event change Americans ' minds about the Vietnam War ? Write a linear function for the following statement:A candle is 6 inches tall and burns at a rate of 1/2 perhour. The largest and strongest bone of the face is the:A) nasal boneB) maxillaeC) temporal boneD) mandible what type of tertiary syphilis begins early in a sense and how? How much energy is released when 73 grams of water cools from 72 degrees Celsius to30 degrees Celsius? 2. A concrete beam with a single overhang is simply supported at A and B over a span of 8 m and the overhang BC is 3 m. The beam is of rectangular section 300 mm by 700 mm deep and supports a uniformly distributed live load of 6.57 kN/m over the entire length (excluding self-weight) and a concentrated load of 15 kN + Last two number digit of ur ID number divide by 10 in kN or minimum of 5000 N at C point of the beam. Determine the profile of the prestressing cable with an effective force of 550 KN which can balance the dead and live loads on the beam. Sketch the profile of the cable along the length of the beam. Psychology Inception Movie Assignment Directions: Keep the questions listed below in mind as you view the film and provide a thorough typed response to each following the conclusion.Completed questions are worth 5 pts. of EC. 1. Cobb and his team specialize in manipulating someones thoughts or dreams to extract or plant ideas and information. Discuss the different ways you see information manipulated in the world around you. How does the control of information impact perception/reality? 2. Throughout the movie we see the dreams of several characters. Overall, which theory of dreaming that we discussed in class best explains the dreams portrayed in the movie? Use evidence and examples to support your answer. 3. According to current psychological research, it appears that sensory information can make its way into our dreams. Is this fact accurately portrayed in the movie? Explain. 4. What do Mals continued appearances in Cobbs dreams symbolize, in your opinion? Provide examples from the film and an explanation to support your answer. 5. Would you give up the ability to dream normally if it meant that you could share dreams like they do in this film? Why or why not? on january 1, hogan company has a beginning cash balance of $21,000. during the year, the company expects cash disbursements of $170,000 and cash receipts of $145,000. if hogan requires an ending cash balance of $20,000, the company must borrow group of answer choices $16,000 $20,000 $24,000 $46,000