A ball is thrown into the air with an initial velocity of 64 feet per second from a height of 336 feet. After how many seconds will the ball return to the ground and have a height of zero again

Answers

Answer 1

Answer:

  7 seconds

Step-by-step explanation:

Ballistic motion is usually modeled in the vertical direction in US customary units by the equation h(t) = -16t^2 +v0·t +h0, where v0 and h0 are the initial velocity and height, and h(t) is the height as a function of time in seconds. For the given initial conditions, the equation of vertical motion will be ...

  h(t) = -16t^2 +64t +336

__

This question asks you for the value of t for which h(t) = 0. We can solve that equation by factoring.

  0 = -16t^2 +64t +336

  0 = t^2 -4t -21 . . . . . . . . divide by -16

  0 = (t -7)(t +3) . . . . . . . factor the quadratic

  t = 7 . . . . . . the positive value of t that makes the equation true

The ball will return to the ground after 7 seconds.

__

Additional comment

A graph of the function reveals the ball reaches a maximum height of 400 feet after 2 seconds.

In metric units, the equation is h(t) = -4.9t^2 +v0·t +h0, where distances are in meters instead of feet. Time is still in seconds.

A Ball Is Thrown Into The Air With An Initial Velocity Of 64 Feet Per Second From A Height Of 336 Feet.

Related Questions

i need help with this

Answers

Answer:

if c=1

then,

28-1×1×1+6=33

if c=2

then,

28-2×2×2+6=26

if c=3

then,

28-3×3×3+6=7

Expression: 28 - c^3 + 6

If c = 1...

28 - (1)^3 + 6

28 - 1 + 6

27 + 6

33

If c = 2...

28 - (2)^3 + 6

28 - 8 + 6

20 + 6

26

If c = 3...

28 - (3)^3 + 6

28 - 27 + 6

1 + 6

7

Hope this helps!

Please help! I will mark brainliest

Answers

Answer: C

Step-by-step explanation:

Statement C is true

The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.

Interquartile range =  [tex]\underline{Q_{3} - Q_{1}}[/tex]

For bus drivers  = 30 - 5 = 25 miles

For teachers = 25 - 5 = 30 miles

Distance of bus drivers = distance of teachers - 5 miles

what is the factored form of the equation f(x)=4x^2-4x-8

Answers

Answer:

4(x² - x - 2)

Step-by-step explanation:

The highest common factor is 4 so factor it out.

Answer:

Step-by-step explanation:4x2−4x−84x2-4x-8Factor 44 out of 4x2−4x−84x2-4x-8.

Factor 44 out of 4x24x2.4(x2)−4x−84(x2)-4x-8Factor 44 out of −4x-4x.4(x2)+4(−x)−84(x2)+4(-x)-8Factor 44 out of −8-8.4(x2)+4(−x)+4(−2)4(x2)+4(-x)+4(-2)Factor 44 out of 4(x2)+4(−x)4(x2)+4(-x).4(x2−x)+4(−2)4(x2-x)+4(-2)Factor 44 out of 4(x2−x)+4(−2)4(x2-x)+4(-2).4(x2−x−2)


Factor x2−x−2x2-x-2 using the AC method


Consider the form x2+bx+cx2+bx+c. Find a pair of integers whose product is cc and whose sum is bb. In this case, whose product is −2-2and whose sum is −1-1.−2,1

Write the factored form using these integers.4((x−2)(x+1))4((x-2)(x+1))Remove unnecessary parentheses.4(x−2)(x+1)

The price of general admission Twins tickets increased from $7 to $18 when they moved to Target Field. What is the percent increase in the ticket price? Explain how you know

Answers

Answer:

257 1/7%

Step-by-step explanation:

[tex] \frac{18}{7} = 2.57142857[/tex]

2.57142857 = 257 1/7 %

Tom drove to visit a museum in Chicago. He traveled at a constant rate of 50 miles per hour for 2 hours. Then he traveled at a constant rate of 65 miles per hour for 1 hour. What is the total distance Tom traveled to the museum?
O:75
O:90
O:165
O:255

Answers

Answer:

165

Step-by-step explanation:

First, we multiply 50 and 2 to find out how much they traveled first, which is 100. And then, multiply 65 and 1 to get 65 for the second part. Add then, to get 165. Hope this helps!

Answer:

The answer is 165 miles.

This is how I solved it:

First I made a chart like the one in the picture

Then I inserted the Rate for each part of the trip. The rate for Part One is 50 miles per hour, and the rate for Part Two is 65 miles per hour.

Next, I would insert the Time for each part of the trip. The time for Part One is 2 hours, and the time for Part Two is 1 hour.

Because we now have the values for r and t for each part of the trip, we need to calculate the distance for each part by using the distance formula, d=r x t, and multiplying the rate and the time.

For Part One, multiply 50 miles per hour x 2 hours; this equals 100 miles. For Part Two, multiply 65 miles per hour times 1 hour; this equals 65 miles.

So, Tom traveled 165 miles to the museum.

Hope this isn't confusing XD

FYI the attachment is just an example from another question so the answers are not the same

Which of the following best explains why one graph appears skewed and one graph appears symmetric? the intervals on the x-axis of the histogram are too large. the interval on the y-axis of the histogram is too small. the interval on the x-axis of the histogram is inconsistent. the interval on the box-and-whisker plot is too small.

Answers

The reason for one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

What is histogram?

A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to a bar graph.

In the problem, the data given as,

In the attached image below, the histogram and box plot is shown for the ages of Elizabeth's Grandchildren and their frequency.In the 3rd and 4the bar of histogram, the data is jumped from 14 to 20 instead of 15.The frequency distribution in histogram for this data is inconsistent.This inconsistency brought the between the two graphs.

Thus, the reason of one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

Learn more about the histogram here;

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Anne is on the chess team at her school. She wins a match 20% of the time. Design a simulation that will predict the probability of Anne winning two matches. to represent winning two chess matches with representing Anne winning a match. Perform the simulation times. Using this simulation, the probability of Anne winning two matches is about .

Answers

Using the binomial distribution, it is found that there is a 4% probability of Anne winning two matches.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

She plays two matches, hence n = 2.She wins a match 20% of the time, hence p = 0.2.

The probability that he wins two matches is P(X = 2), hence:

[tex]P(X = 2) = C_{2,2}.(0.2)^{2}.(0.8)^{0} = 0.04[/tex]

4% probability of Anne winning two matches.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

A rectangular prism has a total surface area of $56. $ Also, the sum of all the edges of the prism is $60. $ Find the length of the diagonal joining one corner of the prism to the opposite corner

Answers

The length would be 54

Length of the diagonal of rectangular prism is equals to 13units.

What is rectangular prism?

" Rectangular prism is a three dimensional figure which has six faces in rectangular shape."

Formula used

Total surface area of the rectangular prism = 2(l b + b h +l h)

Sum of all the  edges of the prism = 4 (l +b + h)

length of the diagonal  of the prism = √l² + b² + h²

l = length of the prism

b = width of the prism

h = height of the prism

According to the question,

Given,

Total surface area of the rectangular prism = 56 units

⇒2(l b + b h +l h) = 56

Sum of all the edges of the prism = 60 units

⇒4(l + b + h) = 60

Divide both the side by 4 we get,

 (l + b + h) = 60 / 4

⇒(l + b + h) = 15                               ____(1)

Squaring both the side of (1)  we get,

  (l + b + h)² = (15)²

⇒l² + b² + h² + 2 (l b + b h +l h) = 225

Substitute the value of total surface area  to get length of the diagonal,

 l² + b² + h² + 56 = 225

⇒l² + b² + h²  = 225 - 56

⇒l² + b² + h²  = 169

⇒√l² + b² + h²  = √169

√l² + b² + h²  =  13

Hence, length of the diagonal of rectangular prism is equals to 13units.

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What is the surface area of a sphere with a 4 ft diameter (round to 1 decimal)?
A) 12.6 ft2
B) 16.7ft2
C) 50.2 ft2
D) 100 ft2​

Answers

Radius=Diameter/2Radius=r=4/2=2ft

TSA:-

4πr²4π(2)²3.14(4)(4)16(3.14)59.24ft²

Write -4/5 as a decimal number

Answers

-0.8


explanation:
-0.8
-.8 is the answer

For some reason it’s making me write more words. Just ignore this, the answer is above

Hope this helped <3

Find the value of x. X=?
Volume = 1500 ​

Answers

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

Solve the following equation for x:

[tex]1500=1/3(15)^{2} x[/tex]

Name the type of logical fallacy being used.
29. if you don’t want to drive from boston to new york, then you will have to take the train.

Answers

The type of logical fallacy being used in the sentence "If you don’t want to drive from boston to New york, then you will have to take the train" is false dilemma.

What is fallacy?

It should be noted that a fallacy simply means a deceptive argument where the conclusion isn't supported by the premises.

In this case, false dilemma is when a limited number of options are incorrectly presented as being mutually exclusive.

Learn more about fallacy on:

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A large company produces an equal number of brand-mame lightbulbs and generic lightbulbs. The director of quality control sets guidelines that lightbulbs that are defect lightbulbs that are defective is not equal to the director wants to estimate the average of the two proportions. Production will be stopped if there is evidence that the proportion of all ve is greater than 0. 10. The director also believes that the proportion of brand-name proportion of generic lightbulbs that are defective. Therefore, the o estmate the proportion of brand-name lightbulbs that are defective, a simple random sample of 400 brand-name lightbulbs brand-name lightbulbs that are defective in a sample of 400, and let px represent the proportion of all brand-name lightbulbs that are defective. It is reasonable to assume that X is a binomial random variable.

(a) One condition for obtaining an interval estimate for px is that the distribution of px is approximately number of is taken and 44 are found to be defective. Let X represent the normal Is it reasonable to assume that the condition is met? Justify your answer.

(b) The suandard error of hr is approumately O 0156 Show how the value of the standard error is calculated

Answers

Using the Central Limit Theorem, we have that:

a) Since there are at least 10 successes and 10 failures, the condition is met.

b) Using the formula [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], with n = 400 and p = 0.11, the standard error is of 0.0156.

What does the Central Limit Theorem state?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

Item a:

44 are found to be defective, hence:

np = 44.n(1 - p) = 356.

Which means that the conditions are met.

Item b:

We have that the parameters are:

[tex]n = 400, p = \frac{44}{400} = 0.11[/tex]

Hence, the standard error is given by:

[tex]s = \sqrt{\frac{0.11(0.89)}{400}} = 0.0156[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

One week a student exercised 3 hours at school and another of an hour at home. If of the student's total exercise came from playing basketball, how much time did the student spend playing basketball that week? Enter your answer in hours; do not include units in your answer.

Answers

Answer:

The student spent 48 minutes and 45 seconds playing basketball.

NEED HELP ASAP!!!! GIVING BRAINLIEST+ 30 POINTS TO WHOEVER CAN ANSWER THESE TWO QUESTIONS THE BEST!!!

Answers

1- is c 15/4
Because 5*3=15 and the 4 on the bottom remains
2-is 10/8
Again do the same method of multiplying the top(numerator) by the whole number so 2/1*5/8=10/8
Or 2*5=10
And 1*8=8

Which statements are true? select three options. the population density for city b can be found using the ratio 48,592 : 26. the population density for city d can be found using the ratio 258 : 196,429. city a has the greatest population density of the four cities. the population density of city b is greater than that of city c. city d has the lowest population density of the four cities.

Answers

The three statements truly define the conditions are 1,3 and 4.

What is population density?

The number of individuals of a species in a certain geographic location is known as population density.

Data on population size may be used to quantify demographic information as well as to analyze links with habitats, people's health, and transportation.

The population density is given as  the ratio of population per unit area;

[tex]\rm population \ density= \frac{population}{Area}[/tex]

For the different cities the population density is found as;

For city a

[tex]\rm P_A = \frac{2,19514}{1553} \\\\ \rm P_A = 1413.98[/tex]

For city b

[tex]\rm P_B =\frac{48,592 }{26} \\\\ \rm P_B =1868.15[/tex]

For city c

[tex]\rm P_C = \frac{ 1,257,676}{999} \\\\ \rm P_C = 999[/tex]

For city d

[tex]\rm P_D = \frac{196,429}{258} \\\\ \rm P_A = 761.35[/tex]

The three statements defining the condition will be;

The population density for city b would be 48,592:26.  

The population density for city b is more than city c.

The city d contains the lowest population density

Hence the three statements true will be 1,3 and 4.

To learn more about the population density refer to the link;

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I need help guys tomorrow is deadline:(

Answers

Answer:

1) [tex]\sqrt{2}[/tex]

2) 11

3) 5

4) 8

5) I feel like there is something wrong with this question

6) [tex]\sqrt{3}[/tex]

7) 10

8) 4

9) 18

10) 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

#1

In this rule, it is saying that is two of the sides are the same and two of the angles are 45 degrees, then you can find the measurement of the hypotenuse or one of the legs of the triangle

Here, the hypotenuse is equal to what the length of one of the legs are and multiplied by [tex]\sqrt{2}[/tex]

Since the length of one of the legs are 4, multiply that by [tex]\sqrt{2}[/tex] and you will get:

4[tex]\sqrt{2}[/tex]

#2

Same concept, but reverse

The hypotenuse is 11[tex]\sqrt{2}[/tex] and to go back to one of the leg lengths, instead of multiplying, you want to divide.

So:

[tex]\frac{11\sqrt{2} }{\sqrt{2} }[/tex]

Which is equal to:

11

You can also do this by knowing that the legs are the same length and knowing that b=11, and a=b, a is also equal to 11

#3

Same as the previous question

[tex]\frac{5\sqrt{2} }{\sqrt{2} }[/tex]

b = 5

#4

a and b are equal to x, and in this case, x is 8.

So going back to the picture, you can see that you need to multiply this x by [tex]\sqrt{2}[/tex] to get 8[tex]\sqrt{2}[/tex]

#5

You'd have to ask your teacher for this one because it is impossible to have a leg that is longer than the hypotenuse

#6-10

Apply the same rules for these set of questions:

Notice that there is a different system for these though, I will let you figure them out.

Consider the figure below: (DE and BC are parallel)

Answers

If DE and BC are parallel, their sides must be proportional.

2/x+1 = 5/4x-2
Use cross multiplication:
8x-4=5x+5
3x=9
x=3

Plug this in:
x: 3
AE: 3+1 = 4
CE: 4(3)-2 = 12-2 = 10
AB: 2 + 5 = 7
AC: AE+CE = 4 + 10 = 14

The concession stand has 18 gallons of punch. If there are a total of 240 students who want to purchase 1 cup of punch each, will there be enough punch for everyone?

Answers

Answer:

Yes.

Step-by-step explanation:

18 gal = 288 cups.

(1 gal = 16 cups)

If 240 students purchase 1 cup each, there will be 48 cups left over.

So,yes, there will be enough punch for everyone.

Please mark as brainliest!

Thanks!

3.Give some examples of commutative property of multiplication and some non examples​

Answers

Answer:

a+b = b+a

Step-by-step explanation:

evaluate 8-m/n+ p2 when m=8 n=2 p=7

Answers

hello!

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

let's evaluate this expression

[tex]\pmb{\displaystyle\frac{8-m}{n+p^2} }[/tex]

[tex]\pmb{\displaystyle\frac{8-8}{2+7^2}}[/tex] (step 1)

[tex]\pmb{\displaystyle\frac{0}{2+49}}[/tex] (step 2)

simplify:

[tex]\pmb{\displaystyle\frac{0}{51}}[/tex] (step 3)

[tex]\pmb{0}[/tex] (step 4)

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

note:-

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Which postulate or theorem proves that these two triangles are
congruent?
HL Congruence Theorem
ASA Congruence Postulate
AAS Congruence Theorem
SAS Congruence Postulate

Answers

Answer: AAS

Step-by-step explanation:

How many words have i written

Answers

Answer:

6

Step-by-step explanation:

What is 125x to the 3rd power +343y to the 3rd power

Answers

Answer: 125 to the power of 3 = 1253 = 1,953,125

Select the correct answer.

Answers

Answer:

?????

Step-by-step explanation:

A bicycle helmet cost $41.40 in 1983. what will a bicycle helmet cost when the cpi is 186? round to the nearest cent. a. $222.58 b. $144.60 c. $77.00 d. $72.30

Answers

Answer:

77.00

Step-by-step explanation: just round and subtract

The price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

What is consumer price index?

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

[tex]CPI_t[/tex] = consumer price index in current period[tex]C_t[/tex] = cost of market basket in current period[tex]C_0[/tex] = cost of market basket in base period

Then, we have:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]

For this case, we're given that:

[tex]CPI_t[/tex] = 186[tex]C_t[/tex] = To find[tex]C_0[/tex] = $41.40

Thus, we get:
[tex]186 = \dfrac{C_t}{41.4} \times 100\\\\C_t = \dfrac{186 \times 41.4}{100} \approx \$77[/tex]

Thus, the price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

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SOMEONE PLS HELP ME !!!!

Answers

if you do 1500 divided by 200 the answer is 7.5 hope this helps :)

Use the ratio table to solve the percent problem,
Part
Whole

? 75
40 100

What is 40% of 757
Enter your answer in the box

Answers

Answer:

302.8

Step-by-step explanation:

If you ever have a calculator by your side remember that a percentage is just a decimal moved two digits to the left. So in this case, the equation is just 757•0.4. Sorry, however, I do not know what you're asking at the top part.

-9 more than a number results in -20

Answers

Answer:

-9+x=-20

Step-by-step explanation:

I am not so positive on this one, but if you are not doing inequalities, then this should be correct.

"More than" would insinuate that you are adding. In this class, you would have a number to replace that x, but since no number was given, you place the x in its place. x=-11, because when you "add" -9 with something to get -20, it would have to be -11. Negative numbers can be confusing because when you subtract a negative number by another negative, you end up with a negative. Like in this case. Normally, you would just put -11, so it would look like -9 - 11 = -20. But since this says "more than", unless you are doing inequalities, you add.

If you are doing inequalities, then your answer should be this:

-9 > x = -20

I hope this helps!

-No one

find cube root of 45324

Answers

the answer is

35.6540944227

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