A timer is started and a few moments later a swimmer dives into the water and then comes back up. The swimmer's depth (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=t2−12t+27
Rewrite the formula in factored form and select each true statement below.


The swimmer dives into the water 3 seconds after the timer was started.

The swimmer comes back up 9 seconds after the timer was started.

The swimmer is underwater for 12 seconds.

The swimmer dives into the water 12 seconds after the timer was started.

The swimmer dives to a maximum depth of 27 feet.

Answers

Answer 1

The correct true statement is: b.  The swimmer comes back up 9 seconds after the timer was started.

The swimmer's maximum depth (in feet)

Given:

h(t)=t^2−12t+27

Let velocity of the function= 0

h(t) = 2t - 12

0 = 2t - 12

2t = 12

Divide both side by 2t

t=12/2

t = 6secs

Substitution

h(6) = 6²-12(6)+27

h(6) = 36 - 72 + 27

h(6) = -36 + 27

h(6) = -9 feet

The correct statement is b.

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Related Questions

Factor completely AND solve for the solutions of the quadratic.

Answers

Answer: x = -2, -3/2
(WORK SHOWN BELOW)

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

c. diameter

because when a line intersects the center and even touches the centre is called a diameter

hope it helps.

Answer:

C

Step-by-step explanation:

Diameter

The charge for renting a hedge trimmer is $10 plus $5 per day the total for renting a trimmer was $85. Which equation can you use to find the number of days the trimmer was rented? Please help !!!!

Answers

Answer:

15days.

Step-by-step explanation:

total amount=$85

renting amount=$10

amount per day=$5

to find the number of days the trimmer was rented it will be;

total amount-renting amount ÷$5

$85-$10÷$5

$75÷$5

=15days

there are 6 members of a board of supervisors for a park district they need to form a subcommittee of 3 people to study expanding a park how many different committees could be formed from the members

Answers

There could only be 2 subcommittees formed because 6/3=2

Which two shapes make up the first split of quadrilaterals on the quadrilateral hierarchy?
1. kite and square
2. square and rectangle
3. trapezoid and square
4. trapezoid and kite

Answers

Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy

What is a quadrilateral?

A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are square, kite, trapezoid, rectangle, rhombus and so on.

A quadrilateral hierarchy is a graphical way of representing the different types of quadrilaterals.

Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy

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please answer the question below, will give brainliest to first answer :)

Answers

Answer:

None of these answers are correct

Step-by-step explanation:

neither of them are rays.

a ray goes from the center to the edge of a circle.

can someone help me on this question?​

Answers

Answer:

first line: 0, 4

explanation: middle of -12 and 12 is 0, then 12/3 = 4

second line: -9, 6

explanation: split into 4 sections per each 12 so 12/4 is 3 and the location of the first unknown point is one section away from 12 so we know the distance between there is 3, leaving -12+3 = -9. Then two sections less than 12 is 12-6 = 6

third line: -12, 4

explanation: 24/6 = 4, -24 + 12 = -12 so 4 units each sections 0 + 4 = 4

Keith is working two jobs this summer as a lifeguard and a tutor. he earns $16 an hour as a lifeguard and $18 an hour as a tutor. he wants to earn at least $250 to put towards his car. what is one possible combination of hours he can work at each job to earn at least $250?

Answers

Answer:

He could work 10 hours as a lifeguard, and 5 hours as a tutor

Step-by-step explanation:

If he makes $16 an hour as a lifeguard

            and $18 an hour as a tutor,

He could work 10 times $16, to make $160 for 10 hours.

Now we subtract this from $250, this makes $90.

We know need to find out how many times 18 goes into 90, 5 times.

So we know that he could work 10 hours as a lifeguard and 5 hours as a tutor.

I hope this is right.

I hope this helps too, have a nice day!

The perimeter of the rectangle is 146 units. what is the length of the longer side? 14 units 28 units 33 units 45 units

Answers

Answer:

45

Step-by-step explanation:

perimeter is the sum of all sides

for rectangle, it's (length + width) x 2

so do the reverse: 146/ 2 = l + w

73-45 = 30 this means the longer side is 45

=> length is 45

Answer:c

Step-by-step explanation:just took the test

!!20 POINTS AND BRAINLIEST!!! HELP ASAP!!!

How much ribbon would be needed to go around a package that had a length 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3 centimeters?

(show work)

Answers

Answer:

23cm

Step-by-step explanation:

If you multiply like terms you will get the answers. Then you add last to get 23cm

The required length ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).

Given that,
Package that had a length of 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3.

How much ribbon would be needed to go around the package in centimeters is to be determined.

What is the perimeter?

Perimeter is the measure of the figure on its circumference.

What is a rectangle?

The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.

Quantity of ribbon = perimeter of the rectangular package
                            = 2 * length + 2* width
                            = 2 * (2x^2+3x-5/x^2+x-3) + 2(x^2-x-5/x^2+x-3)
                            = 2 (3x^2 + 2x -10) / (x^2 + x - 3)

Thus, the required length of  ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).

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Mike purchased a vehicle for Rs 59425 and spent Rs 8652 on repairs. How much did the vehicle cost him?

Answers

Answer:

68077

Step-by-step explanation:

he had spent 68077 because by 59425+8652 makes 68077

Can * x ^ 2 + 25 be factored using a difference of two squares?

Answers

No it can't be factored , whenever there is addition between two squares , the expression can't be factored

You toss a coin and roll a number cube. The table shows the sample space,
where H means heads, T means tails, and the numbers represent the number
cube roll?

What is the probability of tossing heads and rolling a number less than 3?

A.1/4

B.1/3

C.1/6

D.1/2

Please help me on this and answer quickly if you get it correct and I’ll give brainlist if you don’t I won’t give brainlist but hurry please!!

Answers

Using it's concept, it is found that the probability of tossing heads and rolling a number less than 3 is given by:

C. 1/6

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there were 12 trials. Of those, 2 are H1 and H2, which are heads and a number less than 3, hence the probability is given by:

p = 2/12 = 1/6.

Which means that option C is correct.

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Drag the tiles to the correct boxes to complete the pairs.
Match the subtraction expressions with their answers.

Answers

From simplification of the given algebra, the correct answers are as shown below.

How to solve algebra problems?

1) (a² - b)/(a³b²)

This reduces to;

(a²/(a³b²)) - b/(a³b²)

⇒ a/(ab²) - 1/(a³b)

2) The algebraic expression is;

(b - a)/a³b³

⇒ b/a³b³ - a/a³b³

⇒ 1/a³b² - 1/a²b³

3) The algebraic expression is;

(2 - ab²)/(a²b³)

⇒ (2/(a²b³)) - (ab²)/(a²b³)

⇒ 2/(a²b³)) - 1/(ab)

4) The algebraic expression is;

(2 - ab²)/(a²b³)

⇒ 2/(a²b³) - 1/ab

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solve these algebraic fractions please with step by step explanation would be great ​

Answers

Answer:

first ans =x-7

second ans= x+y/x-y

Step-by-step explanation:

I think you would get it and it doesn't need explanation.

A square notepad has sides that are 10 centimeters long. What is the notepad's area?

Answers

Answer:

100cm²

Step-by-step explanation:

The notepad is square.

The area of a square = length X width.

All the sides of a square are the same length.

Therefore, the area of the notepad = 10 X 10 which equals 100.

Don't forget the units!

The units for area is cm².

The units for volume is cm³.

This is area so your answer is 100cm².

Hope this helped, have a nice day!

1. if axb = 0 then either a or b or both must equal....

Answers

Answer: one or both must equal 0

What is 6x-6x56 =?
Show all work.

Answers

Answer:

6x-6x56 =-2016

Step-by-step explanation:

You have to subtract, then multiply by 56 to get -2016, as it shows a negative.

What would the answer be?

Answers

Answer:

C

Step-by-step explanation:

since ∠ m ≅ ∠ p , then

9x - 2 = 4x + 18 ( subtract 4x from both sides )

5x - 2 = 18 ( add 2 to both sides )

5x = 20 ( divide both sides by 5 )

x = 4

then

∠ p = 4x + 8 = 4(4) + 18 = 16 + 18 = 34°

Fill in the missing number in this sequence:
{ } 45, 15, 5

Answers

Answer:

135

Step-by-step explanation:

every njmber is divided by 3

If 135 is divised by 3 it becomes 45

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to fill in the missing number in the following sequence:

[tex]\pmb{(~~~),45,15,5}[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Look at the common ratio.

Since every number here is divided by 3, the common ratio is 3.

To find the missing number, we should multiply 45 times the common ratio, 3:

[tex]\star~\mathrm{\overline{\underline{\overline{\underline{135}}}}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Gavin has nickels, dimes, and quarters in the ratio of 1:3:6.If 57of Gavin’s coins are dimes , how many nickels and quarters does he have?

Answers

Answer:

19 nickels, 57 dimes, and 114 quarters

Step-by-step explanation:

57/3 = 19

1 × 19 = 19

3 × 19 = 57

6 × 19 = 114

|-2x +7| = 25 Find the values for x 12 and 8 12 and 8 6 and 18 6 and 18 -9 and 16 -9 and 16 - 7 and 12

Answers

Answer:

x = -9 and 16

Step-by-step explanation:

1. Separate in two cases:

(a) -2x + 7 = 25          and          (b) -2x + 7 = -25

(a) -2x + 7 = 25  ⇒ subtract 7 from both sides

     -2x = 18 ⇒ divide both sides by -2

      x = -9

(b) -2x + 7 = -25 ⇒ subtract 7 to both sides

    -2x = -32 ⇒ divide both sides by -2

     x = 16

Solutions: x = -9, 16

Hope this helps!

Brent sells an avarage of 52 pot holders each week. about how many pot holders does he sell in 58 weeks.

Answers

The amount of pot holders Brent sold for 58 weeks is 3016

How to find the amount of pot holders Brent sold?

He sells 52 pot holders each week.

This means for every week, he sold 52 pot holders. Therefore, the amount of pot holders he sold for 58 weeks can be solved as follows:

1 week = 52 pot holders

58 weeks  = ?

cross multiply

number of pot sold for 58 weeks = 58 × 52

number of pot sold for 58 weeks = 3016

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Paula walks 1/12 mile in 5/3 minutes. What rate is equivalent to the rate she walked?

Answers

The rate that is equivalent to the rate Paula walked is 1/20 mile/minute OR 0.05 mile/minute

Calculating Rate

From the question, we are to determine the rate which is equivalent to the rate Paula walked

Using the formula,

[tex]Rate = \frac{Distance}{Time}[/tex]

From the given information,

Distance = 1/12 mile

Time = 5/3 minutes

Putting the parameters into the formula, we get

[tex]Rate =\frac{\frac{1}{12} }{\frac{5}{3} }[/tex]

[tex]Rate = \frac{1}{12} \div \frac{5}{3}[/tex]

[tex]Rate = \frac{1}{12} \times \frac{3}{5}[/tex]

[tex]Rate = \frac{3}{60}[/tex]

[tex]Rate = \frac{1}{20}[/tex] mile/minute

Hence, the rate that is equivalent to the rate Paula walked is 1/20 mile/minute OR 0.05 mile/minute

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Mr. Fishie bought a tank for $15 and 10 fish which cost $f each. If he gave the cashier two 20-dollar bills, what was his change in terms of f?

Answers

Answer:

$25 - $10f

Step-by-step explanation:

Fishie's name is fishy.  

We know Mr. Fishie spent $15 on a tank.  His 10 fish cost 10*$f.  His total is:

Total =15 + 10*f

His change after 2 $20 would be:

$40 - ($15 - $10f), or

$25 - $10f

The value of the expression -a -bl when a = 7
and b = -3

Answers

Answer:

Option 1 -----> -10

Step-by-step explanation:

Substitute a and b into the equation :

-{a-b} =  

-{7-(-3)} =

-{7+3} =

-{10} =

-10 ---> Option 1

Hoep this helped and brainliest please

Find each square (x+4)^2

Answers

Answer:

[tex]x^{2} +8x+16[/tex]

Step-by-step explanation:

There are 2 ways to find the square of a binomial. You can use FOIL or use a formula. Just remember that the square of a binomial will always be a trinomial.

FOIL

Since we are squaring a binomial we can rewrite the expression as (x+4) * (x+4). FOIL stands for First, Outside, Inside, Last. This explains how to multiply out 2 binomials. This method will give you 4 different terms that can then be combined to find the answer.

First - multiply the first terms of each binomial

x * x = [tex]x^{2}[/tex]

Outside - multiply the terms on the outside of both binomials

x * 4 = 4x

Inside - multiply the terms on the inside of both binomials

4 * x = 4x

Last - multiply the last terms of each binomial

4 * 4 = 16

Now we can combine these terms to create the new polynomial [tex]x^{2} +4x+4x+16[/tex]. Then, combine like terms for the final answer: [tex]x^{2} +8x+16[/tex].

Shortcut

Another way to square binomials is to use the formula [tex]a^{2} +2ab+b^{2}[/tex], where a is the first term and b is the second term. So, for this formula, the binomial would look like (a+b).

So, we can apply this formula by plugging in x for a and 4 for b.

[tex]x^2+2*4*x+4^2[/tex]

Then, multiply the middle term

[tex]x^{2} +8x+4^2[/tex]

Finally, square 4

[tex]x^2+8x+16[/tex]

This gives us the same final answer as the method above.

Step-by-step explanation:

(x+4)^2

you can also expand it

(x+4)(x+4)

x^2+4x+4x+16

x^2+8x+16

A car travelled a distance of 50km in an hour.what distance did it travel in 30min at the same speed? ​

Answers

Answer:

The car would have traveled 25 km.

Step-by-step explanation:

Set up the Proportion [tex]\frac{50}{60} = \frac{x}{30}[/tex]. Solving that proportion gets you an answer of 25, getting you the answer 25 km in 30 minutes. I hope this helps! :)

HELP ME AND ANSWER BOTH PARTS PLEASE!

Answers

1 is d
2 is -15+2x
Glad I could help

At a local college, an admissions officer surveys the incoming class of 1,000 first-year students concerning their preference of major. the officer randomly selects 100 of them and asks if they intend to major in liberal arts. of the 100 first-year students, 62 state they intend on majoring in liberal arts. assuming the conditions for inference have been met, what is the 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts? 0.38 plus-or-minus 1.96 startroot startfraction 0.38 (1 minus 0.38) over 100 endfraction endroot 0.62 plus-or-minus 1.96 startroot startfraction 0.62 (1 minus 0.62) over 100 endfraction endroot 0.38 plus-or-minus 1.65 startroot startfraction 0.38 (1 minus 0.38) over 1000 endfraction endroot 0.62 plus-or-minus 1.65 startroot startfraction 0.62 (1 minus 0.62) over 1000 endfraction endroot

Answers

The 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts is option B. 0.62 plus-or-minus 1.96 start root start fraction 0.62 (1 minus 0.62) over 100 end fraction end root .

What is Confidence Interval?

Confidence interval in statistics is defined as the certain range of values that you estimate for the unknown parameter lies within.

Confidence interval for the population proportion can be calculated as,

p ± z × [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

Here, p is the sample proportion and n is the sample size.

z value for 95% confidence interval is 1.96.

Here, n = 100,

p = [tex]\frac{62}{100}[/tex] = 0.62

Substituting the values, confidence interval of true proportion is,

0.62 ± 1.96 × [tex]\sqrt{\frac{0.62(1-0.62)}{100} }[/tex]

Hence the 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts is 0.62 ± 1.96 × [tex]\sqrt{\frac{0.62(1-0.62)}{100} }[/tex].

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