A person standing on a second floor balcony drops keys to a friend standing below the balcony. The keys are dropped from a height of 10 feet. The height in feet of the keys as they fall is given by the functionh(t)=−16t2+10, where t is the time in seconds since the keys were dropped.

The friend catches the keys at a height of 4 feet. Find the elapsed time before the keys are caught.

Answers

Answer 1

Answer:

sqrt(3/8) = t

.61237 = t

Step-by-step explanation:

h(t)=−16t^2+10

Let h(t) = 4

4 =−16t^2+10

Subtract 10 from each side

4-10 =−16t^2+10-10

-6 = -16 t^2

Divide by -16

-6/-16 = t^2

3/8 = t^2

Take the square root of each side

sqrt(3/8) = sqrt(t^2)

sqrt(3/8) = t

.61237 = t

We only take the positive since time is not negative


Related Questions

i have no idea what i’m doing

Answers

Answer:

f(x)=x^2+1 -> f(a+1)=(a+1)^2+1=a^2+2a+1+1=a^2+2a+2

Step-by-step explanation:

Can someone help me out with this at all?

Answers

Answer:

1 maps to 1

2 maps to 3

3 maps to 2

Step-by-step explanation:

the correctly assigned answer options describe everything.

there is not much else to say and explain.

these are all true statements due to the symmetry principle of a circle.

when 2 direct connections of two points on the circumference of a circle have the same length, then also their bent distances on the circumference of the circle are the same. and vice versa.

and yes, the perpendicular radius (or diameter) of the circle towards such a line cuts this line in half.

The equation |x-3| = 4 has what solutions?

Answers

Answer:

x-3=4

x=4+3

X=7

or

x-3=-4

x=-4+3

x=-1

-1 and 7

Step-by-step explanation:

Any equation within the | | notation is an absolute value, where the the value of the equation can only be positive.

So within the notation, we have two possibilities to the solution, a positive and negative value.

In other words, |4| = 4 and |-4| = 4

Hence, we only need to substitute x with an appropriate integer to satisfy the answer.

|x - 3| = 4

substitute x = 7

|7 - 3| = 4

|4| = 4

substitute x = -1

|-1 - 3| = 4

|-4| = 4

Therefore the solutions to x is x = 7 and x = -1.

A system of equations has 1 solution. If 4x – y = 5 is one of the equations, which could be the other equation?

A- y = –4x + 5
B- y = 4x – 5
C- 2y = 8x – 10
D- –2y = –8x – 10

Answers

Answer:

D: 2y = 8x - 10  

Step-by-step explanation:

A:  y = 4x + 5. This has a slope of -4 Yes it could work.

B:  y = 4x - 5. No It does not work

C: 2y = 8x - 10. The slope is 8/2 = 4. So No it could not work.

D: -2y = 8x - 10. The slope is 8/-2 = -4. Yes This Does work!  :)

which phase best describes the translation from tge graph y=2(x-15)^2 to the graph of y=2(x-11)^2+3?​

Answers

Answer:

Graph translates 4 units to the left then 3 units up.

Step-by-step explanation:

The constant in the bracket changes for - 15 to -11 . A change of + 4.

This shifts  the whole graph horizontally 4 units to the left.

The + 3 moves the whole graph 3 units upwards.

Can someone helpppppppp

Answers

Answer:

f(-2) = -3

Step-by-step explanation:

When x = -2 we want the value of y

We use the closed circle value ( open circle does not have a value)

f(-2) = -3

Samantha earned $15 per hour. After a raise, she now earns $16.50 per hour. What is the percent increase of Samantha’s wages?

Answers

Answer:

1.5 percent I 5hink 9ook

Which relation is a function?

Answers

Again, to tell if a relation is a function, they must pass the vertical line test, draw lines down the x axis and make sure the line does not intercept the relation twice or more.
The correct answer is the one on the bottom left. You can draw any vertical lines down the graph and it would not intercept two points or more at once

The low temperature (t) was 8 Celsius and the high temperature was 16 Celsius, write it as an inequality.

Answers

Answer:

8 ≤t≤16

We know the low temperature was 8

8≤ t

And the high was 16

8 ≤t≤16

Step-by-step explanation:

John invests $250 at 15% interest compounded monthly. How much will he have in 20 years?

Answers

Answer:

$4928.87

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

P is principle amountr is raten is compound ratet is time

Step-by-step explanation:

Step 1: Define

Identify variables

P = 250

r = 15% = 0.15

n = 12

t = 20

Step 2: Solve

Substitute in variables [Compounded Interest Rate Formula]:                     [tex]\displaystyle A = 250(1 + \frac{0.15}{12})^{12 \cdot 20}[/tex][Exponents] Multiply:                                                                                        [tex]\displaystyle A = 250(1 + \frac{0.15}{12})^{240}[/tex](Parenthesis) Divide:                                                                                        [tex]\displaystyle A = 250(1 + 0.0125)^{240}[/tex](Parenthesis) Add:                                                                                            [tex]\displaystyle A = 250(1.0125)^{240}[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle A = 250(19.7155)[/tex]Multiply:                                                                                                             [tex]\displaystyle A = 4928.87[/tex]

Jose wants to find the perimeter of triangle ABC. He uses the distance formula to determine the length of AC. Finish Jose’s calculations to find the length of AC.
What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.

12.0 units
12.4 units
15.0 units
15.4 units

Answers

Answer:

15.4 units

Step-by-step explanation:

sqrt(5²+4²) = sqrt(41) = 6.4

the other two legs are 5 and 4

so perimeter

= 4+5+6.4 = 15.4 units

What is the value of b2 - 4ac for the following equation? 2x2 - 2x - 1 = 0 -4 12 0

Answers

Answer:

I think you mean the equation is

[tex]2 {x}^{2} - 2x - 1 = 0[/tex]

And you must find

[tex]delta = {b}^{2} - 4ac = 4 + 8 = 12[/tex]

how much should your mom set aside and invest in a fund earning 3% compounded quarterly is she needs 85,000.00 in 20 months

Answers

Answer:

PV= $73,201.14

Step-by-step explanation:

Giving the following information:

Future value (FV)= $85,000

Number of periods (n)= 20 months

Interest rate (i)= 0.03/4= 0.0075

To calculate the lump-sum required to reach the objective, we need to use the following formula:

PV= FV / (1 + i)^n

PV= 85,000 / (1.0075^20)

PV= $73,201.14

What is the surface area of LMNOPQRS? If necessary, round your answer to the nearest tenth.

Answers

Answer:

5

Step-by-step explanation:

2.8-5.3n - 4n + 5 =
plss help again
Thank you!

Answers

Answer:

7.8-9.3n

Step-by-step explanation:

2.8-5.3n - 4n + 5

Combine like terms

2.8 +5 -5.3n -4n

7.8-9.3n

Answer:

In simplest form: 7.8 - 9.3n

Step-by-step explanation:

Equation: 2.8 - 5.3n - 4n + 5

Combine like terms: 2.8 + 5 = 7.8

-5.3n + -4n = -9.3n

Put it all together: 7.8 - 9.3n

Hope this helps! :)

The nth term of a sequence is 20 – n?
a) Find the third term of the sequence.
b) Which term in the sequence
the first to have a negative value?

Answers

Answer:

a) 17

b) 21st term

Step-by-step explanation:

a) 20 - 3 = 17

b) 20 - 21 = -1

if a man spends 70% of his income what percent does he save​

Answers

Answer:

30%

Step-by-step explanation:

Let's say he has 100% income

Spends 70%

Remaining=100-70=30%

Step-by-step explanation:

total percentage = 100%

total percentage spend = 70%

remaining percentage = 100% — 70% = 30%

find the profit on 6000 for one year at 4% per annum

Answers

Answer:

240 dollars.

Step-by-step explanation:

I'd be assuming you mean the returns on interest rate after you put $6000 into the system, kind of like how you get returns after you deposit money at the bank. In that case:

[tex]6000 \cdot (1 + 4%) - 6000[/tex]

[tex]= 6240 - 6000[/tex]

[tex]= 240[/tex] dollars

Of course, you didn't say how frequently the interest rate would be compounded, so this result would be if the interest was compounded yearly.

Hope this helped!

Answer:

$240

Step-by-step explanation:

4% of $6000 = $240

HELP PLEASEEEEE!!!!!!!

Answers

It’s 43................

3, 6, 9, 12, 15,
Tlie common difference " is

Answers

Answer:

The common difference is definitely 3. The common difference is the difference between the numbers in a sequence. In the sequence 3,6,9,12, and 15 the common difference is 3.

How to solve it and explain it

Answers

Answer:

2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let the third side ( hypotenuse ) be x , then

x² = 1² + ([tex]\sqrt{3}[/tex] )² = 1 + 3 = 4 ( take square root of both sides )

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

A culture of bacteria has an initial population of 41000 bacteria and doubles every 5 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 dt , where P_tP t is the population after hours, P_0P 0 is the initial population, is the time in hours and is the doubling time, what is the population of bacteria in the culture after 14 hours, ?

Answers

Answer:

285541  

Step-by-step explanation:

According To The Question,

Given, A culture of bacteria has an initial population of 41000 bacteria and doubles in every 5 hours &  [tex]P_{t} = P_{i}*(2)^{\frac{d}{t} }[/tex] .

Now, for the population of bacteria in the culture after 14 hours is [tex]P_{t}[/tex] . We have Initial Population([tex]P_{i}[/tex])=41000 , d=14 & t=5 .

Put These Value in Above Formula, We get

[tex]P_{t} = 41000*(2)^{\frac{14}{5} }[/tex]

[tex]P_{t} = 41000*2^{2.8}[/tex]

[tex]P_{t} = 41000*(6.9644)[/tex]

[tex]P_{t} =[/tex] 285540.5847 ≈ 285541

please hurry i want the answer of this question please

Answers

B

Please mark me as a brainlist

Answer:

900

Step-by-step explanation:

3²×5 = 45

3×2²×5² = 300

LCM = 900

Hope this helps... pls vote as brainliest

Put these numbers in order from least to greatest.

3/4,0.6, and 0.7

Answers

Answer:

O.6, 0.7, 3/4 (0.75)

SOMEONE HELP
ASAP PLEASE
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

If y varies directly as x and z, and Y =8/3 when x = 1 and 2 = 4, find y when x = 6 and z = 3.
a.
C.
Y
(03) -
b. y = x; }(6, 3) 27
27
2
vx; (6, 3) =24
» -«xz; "(0, 3) =12
d.

Answers

Answer:

D

Step-by-step explanation:

Given y varies directly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = [tex]\frac{8}{3}[/tex] when x = 1 and z = 4 , then

[tex]\frac{8}{3}[/tex] = k × 1 × 4 = 4k ( divide both sides by 4 )

[tex]\frac{2}{3}[/tex] = k

y = [tex]\frac{2}{3}[/tex] xz ← equation of variation

When x = 6 and z = 3 , then

y = [tex]\frac{2}{3}[/tex] × 6 × 3 = [tex]\frac{2}{3}[/tex] × 18 = 2 × 6 = 12

Answer:

the answer to this question is

d.)y=⅔xz;y(6,3)=12

I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again! (Pls help Asap!)

Answers

Answer:

his dad was cutting the grass for 1 hour and 4 minutes i hope this helps

Step-by-step explanation:

You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.

Answers

the annual premium for a Whole Life insurance police is  $2,881.61. Option A.

How do we calculate the annual premium for a Whole Life insurance police?

For us to solve the annual premium for a Whole Life insurance policy for a 28-year-old male, we need to look at the provided table.

The premium rate for a 28-year-old male for a Whole Life policy is $17.76 per $1,000 of face value.

Annual premium =  $162,253/ 1000 x 17.76

= $2,881.61

The above exercises is from the question provided in the picture;

You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.

                                            Permanent Insurance

Age               Whole Life        20-Payment Life       20-Year Endowment

                     M           F                 M              F                M              F

25              $16.38    $14.38        $28.40    $25.04      $37.02     $34.87

26              $16.91     $14.77          29.11        25.96        37.67       35.30

27              $17.27     15.23           29.97       26.83        38.23      35.96

28              17.76       15.66           30.68      27.54         38.96       36.44

a. $2,881.61

c. $6,321.38

b. $4,977.92

d. $6,438.20

Find more useful exercises on calculating annual premium;

https://brainly.com/question/9834518

#SPJ1

help please asap just the answers​

Answers

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

[tex]a\:=\:2[/tex], [tex]b\:=\:-1[/tex] and [tex]c\:=\:-3[/tex]

7) [tex]3 {a}^{2} - b[/tex]

Plugging in the values of [tex]a[/tex] and [tex]b[/tex], we have

[tex] = 3( {2})^{2} - ( - 1)[/tex]

[tex] = 3(2 \times 2) + 1[/tex]

[tex] = 3 \times 4 + 1[/tex]

[tex] = 12 + 1[/tex]

[tex] = 13[/tex]

Hence, [tex]\boxed{ c. \:13 }[/tex] is the correct option.

8) [tex] {a}^{3} {b}^{3} - abc[/tex]

Plugging in the values of [tex]a[/tex] and [tex]b[/tex] and [tex]c[/tex], we have

[tex] = ({2})^{3} ( { - 1})^{3} - 2( - 1)( - 3)[/tex]

[tex] = (2 \times 2 \times 2)( - 1 \times - 1 \times - 1) - 2(3)[/tex]

[tex] = (8)( - 1) - 6[/tex]

[tex] = - 8 - 6[/tex]

[tex] = - 14[/tex]

Hence, [tex]\boxed{ d.\:-14 }[/tex] is the correct option.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]

7.) Detemine the value of [tex] \sf{ {3a}^{2} -b.}[/tex]

[tex] \huge\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]

[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]

[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶12-( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶12 + 1 }[/tex]

[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{7.)\:13}}}}[/tex]

8.) Find the value of [tex] \sf{ {a}^{3} {b}^{3} - abc.}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}[/tex]

[tex]\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{8.)-14}}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

I tried subtracting it but it says it’s wrong so what do I do?

Answers

Answer:

70,000 - 20,000= 50,000

Larry deposits $1,500 in a savings account. How much interest would accrue after 10 years at a 2.5% rate?

Answers

Answer:

6000 dollar store for the day of a rectangle

Answer:

if its simple interest: $375 in interest, so he would have $1875 in total

if its compound interest: $420.13 in interest, so he would have $1920.13 in total

Step-by-step explanation:

I=Prt for simple interest, where I is interest, P is principle or the original amount, r is the interest rate, and t is the amount of time.

but compound interest adds on to the total instead of the initial savings so its more complicated

Other Questions
Determine whether each statement describes mitosis, melosis, or both mitosis and melosis. What are the solutions of X^2-8+16=11 Which system of linear inequalities is represented bythe graph?+oyz_x+3 and 3x y> 2o ye}x+3 and 3x y> 2o y }x+3 and 3x + y> 2O ya 4x+3 and 2x-y> 2 which definition best describes a buffer? 5. How do barrier methods prevent pregnancy?by stopping ovulationby stopping spermby stopping hormonesby stopping menstruation I need help on these questions pls Sam is skiing down a mountain. He starts at the peak 97 yards above sea level and skis down the mountain at a rate of 1.5 yards per second. If it takes him 3 minutes to reach flat ground at sea level, what is the measure of the angle that the mountain slope forms with the ground at sea level to the nearest degree? (2x2 + 4x + 1) + (3x2 + 6x + 5) what is the equation of a line that is perpendicular to y=1/2x+1 and passes through the point of (8,0)? In 35 words or fewer, imagine you were in that Roman crowd. What emotions would Mark Antony's speech stir in you? Please answer this correctly without making mistakes Find the equation of a line with the point (5, -3) and slope m = 2. (y=mx+b) PLEASEEEEEE HELPPPPPP IM BEGGGGINGGG SOMEONE PLEASEEEEE PLEASEEEEEEE how are tools used by prehistoric humans different from tools we use today? i'd rly appreciate anyone's help asap, thanks in advance!! All of the following are true about the structure of DNA excepta. a. the long strands of nucleotides are twisted into a double helix. b. short strands of DNA are contained in chromosomes inside the nucleus of a cell.c. DNA consists of two strands of nucleotides joined by hydrogen bonds. d. every DNA nucleotide contains a sugar, a phosphate group, and a nitrogen base. what does cytoplasm do What is 60,000 + 3,000 + 20 + 9 in standard form PLEASEE HELPP!!!Describe melting.Describe evaporation.Describe boiling.Describe condensation.Describe freezing. A room has a rectangular shape of 4000 mom by 3600mm according to the architecture plan It is supposed to be fitted with tiles which are square in shape and size of 12 cm. How many tiles are required to cover the entire floor I need help in raft survival ocean nomad I was traveling and now I can't enter the island or go back home (raft). Please help me