Help please! 100 points!
Sean tossed a coin off a bridge into the stream below.
The path of the coin can be represented by the equation
H= -16t^2 + 72t + 100
t= time in seconds
h=height in feet

Answers

Answer 1
Answer: It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

Multiplying by (-1)

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

This polynomial has roots  such that , given by the following formulas

In this question:

So

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.The height of the coin, after t seconds, is given by the following equation:


Related Questions

Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7

Answers

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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Meera bought packs of trading cards that contain 10 cards each. She gave away 7 cards. x = Number of packs of trading cards. Which expression shows the number of cards left with Meera ?​

Answers

Answer:

Correct option is A) ⇒  We have given, x is number of packs of trading cards.⇒  Pack of trading cards contain 10 cards each.∴    Total number of cards = 10x⇒  From total cards she gave away 7 cards. ∴    Number of cards left with Meera = 10x−7

Step-by-step explanation: tell me if I’m wrong and I’ll re do it for yo

simplify 7^6 x 7^5

(A) 49^11
(B) 49^35
(C) 7^11
(D) 7^35

Answers

Answer:

The answer is C) 7^11

Amy is 11 ⅚ years old. Camden is 1 ⅓ years younger than amy and Jane is 1 ¼ years younger than Camden How old is Jane​

Answers

Answer:

Jane is 9 1/4 years old

Step-by-step explanation:

Camden is 10 1/2 years old and Jane is (10 2/4 - 1 1/4) which equals 9 1/4 years

Which criteria for triangle congruence can be used to prove that the pair of triangles are congruent?

Answers

The criteria should be used to prove that the pair of triangles are congruent, as mentioned below.

What is congruent of the triangle?

The shapes maintain their equality regardless of how they are turned, flipped, or rotated before being cut out and stacked. We'll see that they'll be placed entirely on top of one another and will superimpose one another. Due to their identical radius and ability to be positioned directly on top of one another, the following circles are considered to be congruent.

Any two figures can be perfectly positioned over one another to demonstrate their congruence. The relationship between two figures that are said to be congruent is described using the word "congruence."

The angle-Side-Angle congruence rule is referred to as ASA. Two triangles are said to be congruent according to this rule if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

Hence, these above criteria should be used to prove that pair of triangle are congruent.

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What’s the correct answer for this?

Whats the correct answer for this?

Answers

Answer:

A

Step-by-step explanation:

Cosine X= adjacent /hypotenuse

where adjacent=5 and hyp=13

Cos X=5/13

WILL GIVE BRAINLIEST AND 5 STARS

WILL GIVE BRAINLIEST AND 5 STARS

Answers

Answer:

D? Possibly.

Step-by-step explanation:

Im not that good w/ monomials but i think its D

The correct answer is D

Philip has been experimenting with new recipes at his bakery for the past 8 months. This month, he tried a recipe for lavender vanilla muffins and gave samples to his customers. He asked them to rate the muffins on a scale of 1 to 10 stars. The median rating was 7 stars, and the interquartile range was 4 stars. ) What can you conclude from these data and statistics? Select all that apply. () No customer gave the muffins fewer than 8 stars. A typical rating for the muffins was 7 stars. The middle 50% of customer ratings had a range of 4 stars. Submit

Answers

From these data and statistics, we can conclude the following:

- A typical rating for the muffins was 7 stars, since the median rating was 7 stars.
- The middle 50% of customer ratings had a range of 4 stars, since the interquartile range was 4 stars.
- We cannot conclude that no customer gave the muffins fewer than 8 stars, as the median is not necessarily equal to the mean, and it is possible that some customers rated the muffins below 8 stars. Therefore, this statement is not necessarily true.

QUESTION IN PICTURE

Please explain your answer in steps, thank you.

QUESTION IN PICTUREPlease explain your answer in steps, thank you.

Answers

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

How to obtain the number of flags

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Of the 50 students in Mr. Mitchell’s classes, 60% are girls. On Friday,20 %

Answers

Answer:

6

Step-by-step explanation:

60% of 50 is 30 and 20% of 30 is 6

Hey!

I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.

If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.

Anyways, please show all of your work and explain your thinking! Be sure to answer all 3 and be clear which answer goes to the question. Thanks!

Hey!I am here with a handful of geometry questions today. Please answer the question based off the image(s)
Hey!I am here with a handful of geometry questions today. Please answer the question based off the image(s)
Hey!I am here with a handful of geometry questions today. Please answer the question based off the image(s)

Answers

9514 1404 393

Answer:

  A)  JM = 30

  B)  x = 11

  C)  x = 18

Step-by-step explanation:

A) Chords the same distance from the circle center have the same length.

  KL = 2×15 = 30 = JM

__

B) Tangents from the same point have the same length.

  2x -14 = x -3

  x = 11 . . . . . . . . . add 14-x to both sides

__

C) No x is shown. We presume it is the length of the tangent segment. The product of lengths to the near and far circle intercepts is the same for both secants. A tangent is a degenerate secant having both intercepts at the same point.

  x² = 12(12 +15) = 324

  x = √324

  x = 18

Put these numbers in order from smallest to largest.
Smallest
-75
-28
-3
13
103
341
619
Largest

Answers

Answer:

Step-by-step explanation:

Here by using the ascending property:

-75, -28, -3, 13, 103, 341, 619

floor of a classroom is 38 feet in length and 34 feet in width. A scale drawing of the floor has a length of 19 inches.

Answers

Answer:

38 i think i hope this helps

answer these 2 qns if possible or atleast one ​

answer these 2 qns if possible or atleast one

Answers

1. The percentage of maize flour is given as 16.7 %

2. The common ratio of the GP is r = 1.5.

How to solve for the common ratio

1. We have to set up equation

60x + 90(1 - x) = 85

60x + 90 - 90x = 85

now we have to solve for the value of x

-30x = -5

x = 5 / 30

x = 0.167

Hence percentage of maize flour is given as 16.7 %

2. a + ar = 20 (1)

ar + ar^2 = 30 (2)

We can rearrange equation (1) to get an expression for a:

a = 20 / (1 + r)

Now, we can substitute a into equation (2) to get an equation only in terms of r:

\(20r / (1 + r) + 20r^2 / (1 + r) = 30\\20r + 20r^2 = 30(1 + r)\\20r + 20r^2 = 30 + 30r\\20r^2 - 10r - 30 = 0\\2r^2 - r - 3 = 0\)

Solving this quadratic equation, we get:

We have two solutions, r = 1.5 and r = -1. But since the GP is increasing, we discard the negative solution. Therefore, the common ratio of the GP is r = 1.5.

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How many total outfit options are represented?'
22

12

3

6

How many total outfit options are represented?'221236

Answers

Answer:

12

Step-by-step explanation:

please helpppppppppppp

please helpppppppppppp

Answers

Answer:

UHHHHHHHHHHHHHHHHHHH ion know

Step-by-step explanation:

In the box, type the number that correctly completes the sentence.
A book cost $8.98. Kaitlyn needs $
to buy three books.

Answers

To buy 3 books Kaitlyn will need $27

Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400
could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone.

Answers

Answer:

5 weeks

Step-by-step explanation:

75 w + 55 ≥ 400

75 w ≥ 345

15 w ≥ 69

w ≥ \(\frac{23}{5}\) = 4.6 weeks ⇒ the minimum number of weeks Jordan must work is 5 weeks

What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars.
Income range 5-15 15-25 25-35 35-45 45-55 55 or more
Midpoint x 10 20 30 40 50 60
Percent of super shoppers 22% 13% 21% 17% 20% 7%
A button hyperlink to the SALT program that reads: Use SALT.
(a) Using the income midpoints x and the percent of super shoppers, do we have a valid probability distribution? Explain.
No. The events are indistinct and the probabilities sum to more than 1.
Yes. The events are distinct and the probabilities do not sum to 1.
Yes. The events are distinct and the probabilities sum to 1.
Yes. The events are indistinct and the probabilities sum to less than 1.
No. The events are indistinct and the probabilities sum to 1.
Correct: Your answer is correct.

(b) Use a histogram to graph the probability distribution of part (a). (Because the data table has summarized the data into categories, use SALT to create a bar chart.)
Maple Generated Plot Maple Generated Plot
Maple Generated Plot Maple Generated Plot
Correct: Your answer is correct.

(c) Compute the expected income of a super shopper. (Round your answer to two decimal places.)
=

Incorrect: Your answer is incorrect.
thousands of dollars

(d) Compute the standard deviation for the income of super shoppers. (Round your answer to two decimal places.)
=

Incorrect: Your answer is incorrect.
thousands of dollars

Answers

From the given probability distribution, it is found that:

a) Yes. The events are distinct and the probabilities sum to 1.

b) The histogram is given at the end of the answer.

c) The mean is of 32.1.

d) The standard deviation is of 16.02.

What is the probability distribution?

Using the midpoint rule, the distribution is given as follows:

P(X = 10) = 0.22.P(X = 20) = 0.13.P(X = 30) = 0.21.P(X = 40) = 0.17.P(X = 50) = 0.20.P(X = 60) = 0.07.

The outcomes are distinct, and their sum is of:

0.22 + 0.13 + 0.21 + 0.17 + 0.20 + 0.07 = 1.

Hence it represents a probability distribution.

The mean is given by the sum of each outcome multiplied by it's respective probability, hence:

E(X) = 10 x 0.22 + 20 x 0.13 + 30 x 0.21 + 40 x 0.17 + 50 x 0.20 + 60 x 0.07 = 32.1

The standard deviation is the square root of the sum of the difference squared between each observation and the mean, multiplied by it's respective probability, hence:

S(X) = sqrt((10-32.1)² x 0.22 + (20-32.1)² x 0.13 + (30-32.1)² x 0.21 + (40-32.1)² x 0.17 + (50-32.1)² x 0.20 + (60-32.1)² x 0.07) = 16.02.

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What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper

Bryan has 86 more rubber bands than Hector. Hector has r rubber bands. Choose the expression that shows how many rubber bands Bryan has.

Answers

Answer:

You FAILED to list any choices

Step-by-step explanation:

b = r + 86

Answer: r+86

Step-by-step explanation: You add the number of rubber bands Hector has (r) and 86 to get the amount Bryan has.

the pilgrims sailed aboard the mayflower to America in 1620.in 2040.how many years will have passed since the pilgrims sailed to America​

Answers

Subtract the year the pilgrims sailed from the year you want to find the distance from:

2040 - 1620 = 420 years.

Can y’all please help me

Can yall please help me

Answers

The y-intercept is 1

Find the value of x and y in circle A.​

Find the value of x and y in circle A.

Answers

The value of x and y Iis, x = y = \(35^{0}\)

Here O is the center of the circle.

According to the central angle theorem, the angle subtended by an arc is always half of its central angle.Understand the problem and draw a diagram: Read the problem statement carefully and try to understand the given information, what is asked and any given constraints. Then, draw a diagram of the circle and label any given variables, angles or lengths.

Identify the relevant circle properties: Recall the properties of circles such as the radius, diameter, circumference, and central angle. You may need to use these properties to solve the problem.

Use equations and formulas: Depending on the information given and what is asked, you may need to use equations and formulas to find the values of x and y. These formulas may include the Pythagorean theorem, trigonometric ratios, or circle equations such as the equation for the circumference or area of a circle.

Simplify and solve the equations: Simplify the equations and solve for the unknown variables, using algebraic techniques. Remember to show all steps of your working and check your answers for accuracy.

Verify your answer: Once you have found the values of x and y, check your solution to ensure that it satisfies any given constraints or conditions and makes sense in the context of the problem.

Let the Central angle of arc AB is \(70^{0}\)

∠ACB and ∠ADB are subtended by the arc AB.

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the volume of a pyramid is given by the formula V=1/, where B is the area of the base and h is the height?

Answers

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

Julie is given two points, (x,y) and (w,z). Which process can she use to find the distance between the points?

Answers

One option is to use the distance formula.

In this case, this is what Julie would be working with:

\(d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(x-w)^2+(y-z)^2}\\\\\)

If Julie knew the values of x, y, w, and z, then she could find a numeric result for the distance (d).

I need someone to solve b ASAP please help

I need someone to solve b ASAP please help

Answers

b) The 99% confidence interval for the population proportion is given as follows: (0.57, 0.68).

What is a confidence interval of proportions?

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(n = 520, \pi = \frac{325}{520} = 0.625\)

Then the lower bound of the interval is given as follows:

\(0.625 - 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.57\)

The upper bound of the interval is given as follows:

\(0.625 + 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.68\)

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Match each drawing on the left with its geometric notation on the right. Some of the answer choices on the right may not be used.










Answers

Answer:

Please attach a photo to this so I can better answer your question

If a recipe needs 1 1/2 of sugar, how much sugar do I need to make 2/3 of a batch of cookies?

If a recipe needs 1 1/2 of sugar, how much sugar do I need to make 2/3 of a batch of cookies?

Answers

Answer:

1 cup of sugar

Step-by-step explanation:

1 1/2 cup of sugar is needed for a full batch

To make 2/3 of a batch sugar is needed:

1 1/2 × 2/3 = 3/2 × 2/3 = 1 cup

Help me please! I’m really struggling on how to do this

Help me please! Im really struggling on how to do this

Answers

Answer:

12 feet

Step-by-step explanation:

1 inch= 8 feet

1/2 inch= 4 feet

1/4 inch= 2 feet

(2x2)/2= 2  (one triangle)

2x4=8 (rectangle)

2+2=4 +8=12

^2 was added 2 times cause there are 2 triangles

(you did not need a 3rd measurement cause the triangle measurements were equal)

Watch help video
The point A is plotted on the coordinate grid below. Plot the point A', the reflection
of A over the x-axis.
Click on the graph to plot a point. Click a point to delete it.
5
3
N
A
T
3
2
1
2
A
3
5

Answers

Answer:

The answer is point A' (3, -2).

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