Brandon throws a ball across a field. The ball's height, in feet, is modeled by the

function f(t) = -1/2+2 + 2t + 6, where t represents time in seconds. How long does it

take the ball to hit the ground?

C A) 8 seconds

C B) 6 seconds

C C) 2 seconds

D) 4 seconds

Answers

Answer 1

C) 2 seconds

Pennfoster/ James Madison

Answer 2

The ball will take 6 seconds to hit the ground.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

f(t) = -1/2t² + 2t + 6

Now, if ball hit the ground then f(t)=0

0 = -1/2t² + 2t + 6

-t² + 4t + 12=0

t² - 4t -12 = 0

t² - 6t + 2t -12 = 0

t(t- 6) + 2( t- 6)= 0

(t- 6) (t+ 2)=0

t= 6, -2.

Hence, the ball will take 6 seconds.

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Related Questions

Which number comes next in the pattern?
17, 21, 25, 29, ?

a. 31
b. 32
c. 33
d. 34

Answers

Answer:

C. 33

Step-by-step explanation:

The pattern increases by 4; 17+4=21, 21+4=25, 25+4=29, 29+4=33

A principle square root is always:?

Answers

Answer:

Every positive number "n" has two square roots. One of them is positive ( or ) , and the other is negative ( ). Together, these are denoted as . The principal square root is the positive number square root. Unless otherwise stated, "the square root" of a number refers ONLY to the principal square root.

Step-by-step explanation:

Answer:

positive #square root

Step-by-step explanation:

The map shows the length (in miles) of shoreline along the Gulf of Mexica for each state that borders the body of water. What is the probability that a ship coming ashore at a random point in the Gulf of Mexico lands in the given state? Round your answers to the nearest whole percent.

Answers

Answer:

TX- 23%

AL- 3%

FL- 47%

LA- 24%

MS- 3%

Step-by-step explanation:

Final answer:

To find the probability of a ship coming ashore in a given state, divide the length of its shoreline by the total length of the Gulf of Mexico's shoreline.

Explanation:

To find the probability of a ship coming ashore at a random point in the Gulf of Mexico landing in a given state, we need to divide the length of the shoreline of that state by the total length of the Gulf of Mexico's shoreline. Let's assume there are 4 states that border the Gulf of Mexico: State A with 100 miles of shoreline, State B with 150 miles, State C with 200 miles, and State D with 250 miles. The total shoreline length of the Gulf of Mexico would be 700 miles (100 + 150 + 200 + 250).

Now, we can find the probability for each state by dividing its shoreline length by the total shoreline length. For example, for State A, the probability would be 100/700 which is approximately 0.1429 or 14.29%.

Following the same calculation, the probability for State B is 150/700 which is approximately 0.2143 or 21.43%, the probability for State C is 200/700 which is approximately  0.2857 or 28.57%, and the probability for State D is 250/700 which is approximately 0.3571 or 35.71%.

If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?

Answers

Answer:

1/7

Step-by-step explanation:

The following information is missing:

Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.

If her ship hasn't already been hit, Captain Nadia has probability 1/2 of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.

If her ship hasn't already been hit, dread pirate Tiffany has probability 2/7 of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.

Let's call:

A: captain hits, P(A) = 1/2

A': captain miss, P(A') = 1 - P(A) = 1/2

B: pirate hits

We want to calculate P(A'∩B). This can be computed as follows:

P(A'∩B) = P(A')*P(B|A')

where P(B|A') means pirate hits given that captain miss. We know that P(B|A') = 2/7.  Replacing data into the equation:

P(A'∩B) = (1/2)*(2/7) =1/7

What is the value of the product (3 – 21)(3 + 2/)?
5
9 + 4
9 - 41
13

Answers

The product of (3 – 2i) and (3 + 2i) simplifies to 13 after expanding and simplifying the expression, canceling out the imaginary terms.

To find the product of (3 – 2i) and (3 + 2i), we'll use the distributive property:

(3 - 2i)(3 + 2i) = 3(3) + 3(2i) - 2i(3) - 2i(2i)

                = 9 + 6i - 6i - 4i²

Since i² = -1, substitute -1 for i²:

= 9 + 6i - 6i - 4(-1)

= 9 + 6i - 6i + 4

The terms with imaginary parts cancel out:

= 9 + 4

= 13

Thus, the product of (3 – 2i) and (3 + 2i) equals 13.

Complete Question:

What is the value of the product (3 – 2i)(3 + 2i)?

5

9 + 4i

9 – 4i

13



At 8 a.m. the temperature was –4ºC. At 12 p.m., the temperature was –1ºC. Shayla claims that it was warmer at 8 a.m. than it was at 12 p.m.
What mistake did Shayla most likely make when comparing the temperatures?
A. She used a number line.
B. She compared the absolute values.
C. She compared the order of the numbers.
D. She counted the distance from zero incorrectly.

Answers

Answer:

I believe the answer is C.

Step-by-step explanation:

Shayla forgotten that the further you are away, the more colder it gets or you are further away from zero. It is more warmer at 12pm than 8am as it was -1 degrees celsius which is warmer than -4 degrees celsius.

If f(3) = -15, then what is f^-1(-15)?

Answers

Answer:3

Step-by-step explanation:

This is the basic definition of an inverse. f(3)=-15 means you plugged in 3 in the function, and you ended up with -15. The inverse means you plugged in some number x, and ended up with -15. Because f(3)=-15, the answer is 3.

Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.

​α = 0.08; H1 is μ ≠ 3.24


a. ±1.75


b. 1.75


c. ±1.41


d. 1.41

Answers

Answer:

The critical z value used to test a null hypothesis is ±1.75.

Step-by-step explanation:

We are given that the data has a normal distribution and the number of observations is greater than fifty.

Also, the hypothesis given to us is;

Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 3.24

Alternate Hypothesis, [tex]H_1[/tex] : [tex]\mu\neq[/tex] 3.24

This means that our test is two-tailed because in the alternate hypothesis we are concerned with mean value is less than or greater than 3.24.

Also, level of significance (α) = 0.08

Now, for two-tailed test level of significance becomes =  [tex]\frac{\alpha}{2} =\frac{0.08}{2}[/tex] = 0.04

So, in the z-table the critical value of x at 4% significance level is given as 1.75.

Since, this is two-tailed test so the critical z value used to test a null hypothesis would be ±1.75.

At the 4% significance level, the z-value is 1.75. Therefore, for the two tailed test the z value becomes [tex]\pm[/tex] 1.75. and this can be determined by using the given data.

Given :

Assume that the data has a normal distribution and the number of observations is greater than fifty.​α = 0.08H1 is μ ≠ 3.24

According to the hypothesis test:

Null Hypothesis  --  [tex]\rm H_0:\mu=3.24[/tex]

Alternate Hypothesis  --  [tex]\rm H_1 : \mu\neq 3.24[/tex]

According to the given data, the significance level is given by ​α = 0.08. So, the significance level for the two tailed test is given by:

[tex]\rm \dfrac{\alpha }{2}=\dfrac{0.08}{2}=0.04[/tex]

So, for the 4% significance level, the z-value is 1.75. Therefore, for the two tailed test the z value becomes [tex]\pm[/tex] 1.75.

So, the correct option is a).

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Find the distance between (3,0) and (8,12)

Answers

answer: 13
explanation: use the distance formula to solve (or pythagorean theorem)

Answer: 13

math-way is helpful with problems like these.

Tyler poured a total of 15 cups of water into 2 equal-sized bottles and filled each bottle. How much water was in each bottle?
||||
☆Thanks for the help guys!☆

Answers

Step-by-step explanation:

So 2 bottles and 15 cups

15 ÷ 2 = 7.5

He poured 7.5 cups of water in each bottle

Answer:

if you need a diagram here you go

Step-by-step explanation:

Help ASAP, question below, 20 points

Answers

Answer:

1 more lawn per hour

Step-by-step explanation:

Brian mows one lawn every hour while logan takes 4 hours to mow 2

Brian:

Hr 1                    1 Lawn

Hr 2                    2 Lawn

Hr 3                    3 Lawn

Hr 4                    4 Lawn

Logan:

Hr 1                    2 Lawn

Hr 2                    4 Lawn

Hr 3                    6 Lawn

Hr 4                    8 Lawn

Helllppppppppp pleaseeeeeee​

Answers

the answer is 17


Explanation
XZ is the hypotenuse of the right angled triangle
so
XZ² = YZ² + YX²
XZ² = 15² + 8²
XZ² = 289
XZ = √289 = 17

Answer:

17 cm

Step-by-step explanation:

Because if you use the Pythagorean threom a^2 + b^2 = c^2. 8 squared is 64 and 15 squared is 225 add those and you get 289, and 17 squared is 289.

1
Complete the following proof by putting the reasons in order. Click on the proof to make it larger.
Remember, draw the diagram on your paper so you can label it!


Drag and drop the reasons so they are in the correct order for the proof.
SAS
Given (1)
Given (2)
CPCTC (Congruent parts of congruent triangles are congruent)
Reflexive Property

Answers

Answers:

Angle MNP is congruent to Angle OPN- Given 1MN is congruent to OP- Given 2Np is congruent to NP- Reflexive PropertyTriangle MNP is congruent to Triangle OPN- SASMp is congruent to No- CPCTC

I've attached a diagram that visually shows the congruency!!

alice took out 80/20 mortgage on a $232,000 home. what is the amount financed under the first mortgage?

Answers

Answer:

The amount financed under this mortgage is $185,600

Step-by-step explanation:

Alice took out an 80/20 mortgage on a $232,000 home.

80/20 mortgage means pay 20% down payment and 80% finance amount of home value.

Home value = $232,000

Now, we need to find finance amount from this hone value of $232,000

Let's calculate the 80% of $232,000 as finance amount;

Finance amount = 80% of 232000

 Finance amount  = 0.80 x 232000

Finance amount = 185,600

Hence, The amount financed under this mortgage is $185,600

I'll mark the correct answer the Brainiest
What is the sum of 4.9 × 10^2 and 6.8 × 10^3?

A.
1.17 × 10^3
B.
1.17 × 10^5
C.
1.17 × 10^7
D.
7.29 × 10^2
E.
7.29 × 10^3

Answers

Answer:

E

Step-by-step explanation:

To find the sum, you most find the answers for both powers of tens. 10^2 is 100, so 4.9*100=490. 10^3 is 1000, so 6.8^1000= 6800. Add them together and you get 7290, which if divided by 1000, you get 7.29. Since 10^3 is 1000, the correct answer isE.

(PART A PART B) PLEASE HELP!!! DUE TODAY!!!! ❤️

Answers

Answer:

the anser from what i see should be option 1

Step-by-step explanation:

The reason why i say this is because number 1 is linear which means it is just multipying but your multiplying and adding and its not option 3 because question 5 said the questions started at 1

Nora has $50 saved and gets $12 a week in allowance. Write a function to show the total amount of money she will have saved after n weeks.

Answers

Answer:

After 'n' weeks?

Step-by-step explanation:

Make sure your question makes sense.

Which of the following is true if the data point 11.1 is corrected to 11.7?

A.The mean increases.

B.The median increases.

C.The data set has two modes.

D. The range increases.

Answers

Answer:

Which of the following is true if the data point 11.1 is corrected to 11.7?

A.The mean increases.

B.The median increases.

C.The data set has two modes.

D.The range increases.

A.The mean increases.

C.The data set has two modes.

These are the correct answers.

A and C will be correct answers.

What is the mean?

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including basic arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Given that the Data point is corrected from 11.1 to 11.7. As we already know if we increase the value of the data point the mean will rise when a data point is added that is above the mean or subtracted that is below the mean. The mean will drop if one or more data points are removed that are above the mean or added that are below the mean.

Therefore, If data point 1.1 is corrected to 11.7 then the mean will increase and the data set has two modes.

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The probability that Gerald makes a three-point shot in basketball is 20%. For practice, Gerald will regularly
shoot a series of these shots until he succeeds at one. He's curious how many shots it will typically take him
to get his first successful shot.
He simulated 40 trials of three-point shots where each shot had a 0.2 probability of being successful, and
in each trial, he counted how many shots it took to get the first successful shot. Here are his results:​

Answers

count all the dots that are greater than 10. you'll get 6 dots. the question is asking for the dots 10 and fewer there is 40 dots in total so you subtract

40-6= 34

the answer is 34/40

The probability for the dots 10 and fewer shots to get a successful shot is 34/40

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The probability that Gerald makes a three-point shot in basketball is 20%.

He simulated 40 trials of three-point shots where each shot had a 0.2 probability of being successful, and in each trial, he counted how many shots it took to get the first successful shot.

all the dots that are greater than 10 = 6 dots.

we need to find for the dots 10 and fewer there are 40 dots in total

So,

40-6= 34

Thus, the answer is 34/40

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Help !

Can I have an explanation as well please !

Answers

Look at the attached picture

hope it will help you

What is the diameter of the circle shown below?

Answers

Diameter is 12. Diameter is radius times 2. 6 times 2=12

Answer:

12

Step-by-step explanation:

the diameter is 2x the radius, in this case we have 6 as the radius so naturally the diameter is 12

(08.01 MC)
A researcher posts a newspaper advertisement offering $10 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of
following statements true about the sample?
It is not a valid sample because it is only a short study,
It is a valid sample because money is offered to participants.
It is a valid sample because the first 10 people were selected to participate.
It is not a valid sample because it is not a random sample of the population

Answers

Answer:

The correct answer is the last on that’s states: it is not a valid sample because it is not a random sample of the population.

Step-by-step explanation:

When a researcher wants to know about the same thing, he/she has to take a sample from the population.

Example, consider a researcher wants to know how many hours the students study at home in a week, so the researcher has to take the sample from the student population.

Here, he/she gives the advertisement and offers $10 for 10 people. Therefore for anyone can come they might not required for a particular study.

Therefore, the answer is the last one.

Answer:

d

Step-by-step explanation:

A tourist on vacation went scuba diving at a depth where 0.0871 l of gas in his blood is under 12.0 atm of pressure if he instantly boards a plane where his blood will be under 1.50 atm of pressure what will be the volume of gas in his blood

Answers

Answer:

0.6968 L

Step-by-step explanation:

We can calculate the resulting volume thanks to Boyle's Law, which tells us The volume is inversely proportional to the pressure:

• If the pressure increases, the volume decreases.

• If the pressure decreases, the volume increases.

Thus:

P1V1 = P2V2

We know that P1 = 12 atm, V1 = 0.0871 L and P2 = 1.5 atm, that is, the value that we do not know about V2, therefore we solve for V2:

V2 = P1V1 / P2

Replacing:

V2 = 12 * 0.0871 /1.5

V2 = 0.6968 L

Which makes sense, since decreasing the pressure increases the volume.

Which fractions are equivalent to 40%? Check all that apply.
1 . StartFraction 8 Over 100 EndFraction
2 . Two-fifths
3 . StartFraction 8 Over 20 EndFraction
4 . StartFraction 4 Over 10 EndFraction
5 . StartFraction 16 Over 40 EndFraction

Answers

Answer:

2/5

8/20

4/10

16/40

Step-by-step explanation:

hope this helps :)

if this helps pls mark me as brainliest:)

The fractions that are equivalent to 40% are 4/10 and 8/20

Fractions and percentages

Fractions are written as a ratio of two integers

Given the percentage 40%

Write as a fraction

40% = 40/100

Divide through by 4

40% = 40/100 = 4/10

Multiply both numerator and denominator by 2

4/10 * 2/2 = 8/20

Hence the fractions that are equivalent to 40% are 4/10 and 8/20

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The PS5 is set to release this year. It will cost $600 but the price will drop by 7.5% per year. How much will a PS5 cost in 2025?

Answers

Answer: 562.5

Step-by-step explanation:

Ok...Im PRETTY sure this is right, because you multiply 5 (5 years till 2025) times 7.5 (the rate of decrease in price) and subtract that from 500, so that would be 600-37.5, which gives you 562.5

Okay, so the formula for these types of problems is [tex]yab^x[/tex] I believe, or something like that.

So the price is 600 for y, 1-0.0075 is the b because it is decreasing in value each year, and it is 5 years from now, so 5 for the x.

Plug those in, and you will get about 577.83.

I hope this helps.

For the following data set, calculate the mean and median. Any non-integer answers should be rounded to
the nearest tenth.
5,5, 9, 10, 13, 16, 18, 20, 22, 22​

Answers

Answer:

(a)Mean=14

(b)Median=14.5

Step-by-step explanation:

Given the data set:

5,5, 9, 10, 13, 16, 18, 20, 22, 22​

(a)Mean

[tex]\bar{x}=\dfrac{5+5+9+10+13+16+18+20+22+22}{10} \\=\dfrac{140}{10} \\Mean=14[/tex]

(b)5,5, 9, 10, 13, 16, 18, 20, 22, 22​

Since we have two terms in the middle, we take the average to obtain the median.

Median

[tex]=\frac{13+16}{2}\\=\frac{29}{2}\\Median=14.5[/tex]

Geometry help for an idiot lol pls help

Answers

Answer:

B

Step-by-step explanation:

The transformation is proved through comparing the size of the bigger triangle to the smaller triangle in the individual sides. So the size of A F/ AB should be equal to AG / AC due to transformations making A F and AG the same times longer as AC and AB. By performing those calculations, you get 3.

b is the answer, i agree

A child has toy blocks that contain the numbers 1 through 80. What is the probability that the will pick up a number that is not a multiple of 11?

Give your answer in fraction form.

Answers

Answer: 7/80

Step-by-step explanation: There are 7 multiples of 11 between 1 and 80, so you just put the 7 over the total number which is 80

7/80 because it’s like part to whole thing but in a fraction form.

find the length of the hypotenuse round your answer to the nearest hundred

Answers

A. 7+4=11. That’s the answer to the hypotenuse.

An amusement park charges an admission fee of 25 dollars per person. The cost, C (in dollars), of admission for a group of p people is given by the following function.

Answers

Answer:

c=25p

Step-by-step explanation:

c= total cost

p=number of people

total cost is the numer of people times 25 dollars each

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A heat engine is a device that uses _____to produce useful work. Given the linear correlation coefficient r and the sample size, n, determine the critical values of r and use you finding to state whether or not the given r represents a significant linear correlations. Use a significance level of 0.05 . r = 0.105, n = 15A.) Critical values: r= 0.514, no significant linear correlation.B.) Critical values: r = 0.514,significant linear correlation.C.) Critical values: r= 0.532, no significant linear correlation.D.) Critical values: r = 0.514, no significant linear correlation what is 75% of 52?show work pls tnx! What is the distance from (8,3) and (3,1) on the coordinate plane? A capacitor of capacitance 4 F is discharging through a 2.0-M resistor. At what time will the energy stored in the capacitor be one-third of its initial value? Punnett squares are used to show possible combinations of alleles or to predict the probability of a trait occurring in offspringAn incomplete dominance cross is performed between a bird that is homozygous for red feathers and a bird that ishomozygous for blue feathers. Purple offspring result. Then, two of the purple offspring are crossed. According to the Punnettsquare for this cross, how many of the offspring from the second cross will have a feather color that results from incompletedominance?1 in 4O2 in 43 in 44 in 4 Tory and Emilios motor boat to travel at the same speed. Tory pilots her boat 50 km before docking. Emilio continues for another 2 hours traveling a total of 120km before docking. How long did it take Tory to navigate the 50 km The closer the particles are together, the ______ sound is able to move. You will receive annual payments of $20,000 to be paid at the end of each of the next 4 years. The appropriate discount rate is 15% What is the present value of the payments? Future Value of 1 (15%, 4 periods) = 1.74901 Future Value of an Annuity of 1 (15%, 4 periods) = 4.99338 Present Value of 1 (15%, 4 periods) = 0.57175 Present Value of an Annuity of 1 (15%, 4 periods) = 2.85498 Group of answer choices $57,099.60 $80,000.00 $31,470.30 $72,095.60 Reread this section ""Incredible Powers."" Which statement below best expresses the central idea of this section A case involving assault and DWI charges would most likely be heard in a ____________ court.a.countyb.municipalc.districtd.Justice of the Peace does this sentence is a fact or opinion?The capital city of Australia is Canberra. The side lengths of three triangles are shown in the table. Which of the triangles is a right triangle? Which sentence from the excerpt best reveals the context of the excerpt?Once these disparate parts were held together by a common enemy, by the fault lines of world wars and the electrified fence of communism.With the end of the cold war there was the creeping concern that without a focus for hatred and distrust, a sense of national identity would evaporate, that the left side of the hyphenAfrican-American, Mexican-American, Irish-Americanwould overwhelm the right.And slow-growing domestic traumas like economic unrest and increasing crime seemed more likely to emphasize division than community.Today the citizens of the United States have come together once more because of armed conflict and enemy attack.WILL GIVE BRAINLIEST What effect did President Clinton's impeachment have on citizens ofthe United States? A student decides to go to the kitchen for a late night snack. When opening the door, she notices the light from inside seem to cover more floor than the open door. Which wave behavior have they experienced?a) Diffractionb) Refractionc) Reflectiond) Interference life is such an exciting journey A. MetaphorB. HyperboleC.SmileD.idiom Which of the following correctly describes what a mutation is?A. A change in in the DNA code of an organism B. A change to a gene of an organismC.A change to the nucleotide sequenceD.All of the above what does the letters in DNA stand for log(x-1)+log(x+2)=log12 Steam Workshop Downloader