Ana threw a ball from her window. The height of the ball in feet after t seconds is modeled by the function f(t)=-16t^2+64x+102. How would you calculate the time at which the ball strikes the ground?

Answers

Answer 1

The ball will strike the ground after 5.221 seconds approximately.

Finding the time to reach the ground:

Here we have a function that represents the height of the ball from the ground. And we need to find the number of seconds that is the time in which the ball will reach the ground.

When the ball reaches the ball ground the height of the ball from the ground will equal zero. We will use this condition to solve the problem.

Here we have  

Ana threw a ball from her window.

The height of the ball in feet after t seconds is modeled by the function

f(t) = -16t² +64t +102.  

When the ball hits the ground the height of the ball will be zero

Let after 't' seconds the height will be zero

=> f(t) = -16t² +64t +102 = 0

=> 8t² - 32t - 51 = 0

Using the quadratic formula to solve this equation:

t = [-b ±  √(b² - 4ac] / 2a    

t = [- (-32) ±  √((32)² - 4(8)(-51)] / 2(8)

t = [ 32 ± √(1024 + 1632] / 16

t = [ 32 ± √(1024 + 1632) ] / 16

t = [ 32 ± 51.54 ] / 16  

t = [ 32 + 51.54 ] / 16   and  t = [ 32 - 51.54 ] / 16  

t = 5.221                      and  t = -19.54/16

Here we can't take t in negative

Hence, t = 5.221

Therefore,

The ball will strike the ground after 5.221 seconds approximately

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Related Questions

11. You want to save all the money you earn to buy a guitar that costs $400. You earn $9 per hour and
plan to work 15 hours each week for the next 3 weeks. Will you earn enough money in that time to buy
the guitar? Explain your answer.

Answers

Answer:

The answer is YES

Step-by-step explanation:

You want to save all the money you earn to buy a guitar that costs $400. You earn $9 per hour and

plan to work 15 hours each week for the next 3 weeks. Will you earn enough money in that time to buy

the guitar? Explain your answer.

15 hours × 3 weeks × $9 per hour

15 × 3 × 9 =

45 × 9 = 405$

The answer is YES

A ladder is leaning against a building, forming a 70° angle with the ground: The base of the ladder is 8.2 ft from the base of the
building.
What is the length of the ladder?
Round your answer to the nearest tenth of a foot.

22.5 ft
24.0 ft
28.0 ft
28.7 ft

Answers

The length of the ladder that is leaning on the building would be = 24ft. That is option B.

How to determine the length of the ladder?

To determine the length of the ladder, the sine rule needs to be obeyed. That is

= a/sinA = b/sinB

Where;

a = 8.2 ft

A = 180-( 70+90

= 180- 160

= 20°

b = X

B = 90°

That is;

8.2/sin20° = b/sin90°

Make b the subject of formula;

b = 8.2×1/0.342020

= 23.9

= 24 ft

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which question can be represented by the equation 4 divided by 2/7=

Answers

A sum of the amount is distributed among 4 persons, each person got $ 7/2 of the amount what is the sum of the amount.

Divisions of fractions:

The reciprocal of one fraction multiplied by another fraction results in a division of fractions. There is a denominator and a numerator in a fraction. By twisting the fractions, we practically multiply them when we divide one fraction by another.

Example:

1/2 ÷ 2/3 => \(\frac{1}{2} \times \frac{3}{2}\)  

Here we have

4 divided by 2/7  

By the given data the above mathematical statement

can be expressed as given below

=>  \(4 \times \frac{7}{2}\)      

Which implies 4 is multiplied by 7/2

Here 7/2 = 3.5

The question can be formed as  

A sum of the amount is distributed among 4 persons, each person got $ 7/2 of the amount what is the sum of the amount.

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The art teacher bought 6 boxes of colored pencils. Each box contains 12 colored pencils. She wants to give each of her 10 students as many colored pencils as possible and keep the rest. Based on this information, which statement is true

Answers

Answer:

60

Step-by-step explanation:

(6x12)-(6x2)

72-12

60

Answer:

I need the statement before I answer

Step-by-step explanation:

Last week, a chocolate shop sold 9 ounces of white chocolate. It sold 9 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?

please answer asap

Answers

Key IdeasWord problemsSolving with fractions

Solving the Question

We're given:

9 ounces of white chocolate sold\(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate sold

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

Answer

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

First correct answer gets brainliest

Given a line with slope = -4 and y-int= (0, 5), write the equation of the line.
Writing the equation algebraically.

Answers

Answer:

\(y=-4x+5\)

Step-by-step explanation:

The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).

Which of the following represents the series? –13 + (–7) + (–1) + 5 + 11

Answers

Answer:

Adding +6 in turn

Step-by-step explanation:

-13+6=(-7)

(-7)+6=(-1)

(-1)+6=5

5+6=11

11+6=17

17+6=23

23+6=29

29+6=35

........... And so on

if it helped uh please mark me a brainliest :))

Write the equation of a line that is perpendicular to y =(1/2)x - 5 and passes through point (-6,2)

Answers

Answer: y=-2x-10

Work:
m=(1/2)
m perpendicular= -2
2=-2(-6)+b
b=-10

Explanation: the standard form of the equation of a line is y=mx+b, find the y-int and perpendicular slope.

Answer:

y=-2x-10

Step-by-step explanation:

Let us start with a general slope-intercept equation, y=mx+b, where m represents the slope, b represents the y-intercept, and the y and x represents the coordinates the line passes through.

Therefore, the slope of our line

\(y=\frac{1}{2}x-5\)

is 0.5

We also know that the perpendicular slope is simply the negative reciprocal of the current slope. We know have:

\(-\frac{2}{1} =\\-2\)

Now, let us find the y intercept. We can plug in the x and y values using the given coordinate (–6,2).

\(y=-2x+b\\2=-2*(-6)+b\\2=12+b\\b=-10\)

Now, we can write our equation:

\(y=-2x-10\)

I hope this helps! Let me know if you have any questions :)

9) The 50 cars used by a firm were inspected. 10 had faulty brakes and 15 had faulty tyres. There were 2 cars with faulty brakes but good tyres. How many cars had good brakes and good tyres? The answer is 33​

Answers

Based on the information, there are 25 cars with good brakes and good tires.

How to calculate the value

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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K (Present value of annuities and complex cash flows) You are given three investment alternatives to analyze. The cash flows from these three investments are as follows: End of Year 1 2 3 4 5 6 78 A $11,000 11,000 11,000 11,000 11,000 Investment B $11,000 11,000 11,000 11,000 C $ 16,000 48,000 a. What is the present value of investment A at an annual discount rate of 21 percent? (Round to the nearest cent.) b. What is the present value of investment B at an annual discount rate of 21 percent? $ (Round to the nearest cent.) c. What is the present value of investment C at an annual discount rate of 21 percent? (Round to the nearest cent.)​

Answers

a. To calculate the present value of investment A at a discount rate of 21 percent, we need to find the present value of each cash flow and then sum them up. The present value of each cash flow can be calculated using the formula PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

Using the given cash flows and the discount rate of 21 percent, we have:

PV = 11,000 / (1 + 0.21)^1 + 11,000 / (1 + 0.21)^2 + 11,000 / (1 + 0.21)^3 + 11,000 / (1 + 0.21)^4 + 11,000 / (1 + 0.21)^5 + 11,000 / (1 + 0.21)^6

Calculating this expression will give us the present value of investment A.

b. Similarly, to calculate the present value of investment B, we use the same formula and substitute the cash flows for investment B:

PV = 11,000 / (1 + 0.21)^1 + 11,000 / (1 + 0.21)^2 + 11,000 / (1 + 0.21)^3 + 11,000 / (1 + 0.21)^4

c. For investment C, we use the formula with the cash flows for investment C:

PV = 16,000 / (1 + 0.21)^1 + 48,000 / (1 + 0.21)^2

Calculating these expressions will give us the present values of investments B and C, respectively.

Final answer:

The present values of investments A, B, and C are $37,461.97, $29,930.99, and $48,003.16 respectively.

Explanation:

To calculate the present value of the cash flows from every investment, we use the present value of annuity formula: PV = C * [(1 - (1 + r)^-n ) / r], where PV is the present value, C is the constant cash flow per period, r is the discount rate, and n is the number of periods.

(a) Investment A: C = $11,000, r = 21% or 0.21, n = 6 years. PV = $11,000 * [(1 - (1 + 0.21)^-6) / 0.21] = $37,461.97.

(b) Investment B: C = $11,000, r = 21% or 0.21, n = 4 years. PV = $11,000 * [(1 - (1 + 0.21)^-4) / 0.21] = $29,930.99.

(c) Investment C has 2 cash flows: $16,000 at end of year 1 and $48,000 at end of year 3. We calculate their present value separately and sum those up. PV = $16,000 / (1 + 0.21)^1 + $48,000 / (1 + 0.21)^3 = $13,223.14 + $34,780.02 = $48,003.16.

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which of the parent functions are monomial functions, which are power functions?
I WILL MARK BRAINLIEST!!!!

which of the parent functions are monomial functions, which are power functions? I WILL MARK BRAINLIEST!!!!

Answers

Answer: D

Step-by-step explanation:

Identify each angle that is adjacent to angle BCD in the figure above.A. DCEB. ECFC. FCGD.GCAE. ACB

Identify each angle that is adjacent to angle BCD in the figure above.A. DCEB. ECFC. FCGD.GCAE. ACB

Answers

A. DCE

E. ACB

Explanation

an angle can be named by the points that make it,for example angle ABC

Step 1

Adjacent angles share a common ray and do not overlap,so to identify the adjacent angles to BCD, :

so,the angles adjacents to BCD are

\(\text{ACB and DCE}\)

so, the answers are

A. DCE

E. ACB

I hope this helps you

Identify each angle that is adjacent to angle BCD in the figure above.A. DCEB. ECFC. FCGD.GCAE. ACB
Identify each angle that is adjacent to angle BCD in the figure above.A. DCEB. ECFC. FCGD.GCAE. ACB

Store pays $56 for a GPS navigation system the markup is 25% what price will the store sell it for

Answers

\(\text{We need to find how much the store will sell a GPS navigation system}\\\\\text{We know that the store paid \$56 for it}\\\\\text{We also know that they will mark up the price by 25\%}\\\\\text{We can find 25\% of 56}\\\\56\cdot0.25=14\\\\\text{We can now add that to the original price to get the price the store}\\\text{will sell it for}\\\\56+14=70\\\\\boxed{\$70}\)

if you take away 25 from a number you will be left with two and halftimes 30. what is the number?​

Answers

The answer would be 100.
If you take away 25 from (100) you get 75.
70 also equals 2.5*30

What number does the rectangle represent if each small square represents:
a 1
b 0.1
c 0.01
d 0.001
HELPPPPPP

What number does the rectangle represent if each small square represents:a 1 b 0.1c 0.01d 0.001HELPPPPPP

Answers

Answer:

I'm pretty sure the answer is A.

Step-by-step explanation:

Although I believe that the answer you've provided is incomplete, but the rectangle represents a whole, so the answer is 1.

f(x) = 14 – 0.5x f(30)=​

Answers

Maybe -1 idk for sure tho

Step-by-step explanation:

Answer:

30f - 0.5x + 14 fx   i think thats im only in 8th grade

Step-by-step explanation:

HELPP!!! ASAP!!! What is the domain of F(x) = 2|x-1| + 3?
O A.
{x | X23)
OB.
{x | x< 1)
O c.
{x | x5-1)
O D.
{x | x = all real numbers)

HELPP!!! ASAP!!! What is the domain of F(x) = 2|x-1| + 3?O A.{x | X23)OB.{x | x&lt; 1)O c.{x | x5-1)O

Answers

Answer:

D.

Step-by-step explanation:

The function is an absolute value. That just means that all the y-values (in this case) will be positive, but there is nothing that limits the x-values. So, D. {x | x = all real numbers}.

Hope this helps!

complete the partial two-way frequency table below that shows the extracurricular activities of high school students. Based on the data in the table, how many students do not play an instrument

Answers

According to the information, the missing number from the box is number 40.

How to find the missing number in the box?

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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complete the partial two-way frequency table below that shows the extracurricular activities of high

When rolling a 6-sided die twice, determine P(sum of 4). three thirty sixths five thirty sixths eight thirty sixths two sixths

Answers

How to find the probability?

On each roll of a 6-sided die, we have 6 possible outcomes.

Then if we roll it twice, we will have 36 outcomes.

The outcomes where the sum is 4 are:

roll 1     roll 2    sum

1             3           4

3            1            4

2           2           4

Son in 3 out of 36 outcomes the sum can be 4, then the probability opf rolling a sum of 4 is given by the quotient:

P = 3/36

P = 1/12

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Every female bear has 3 baby cubs. What is the constant of proportionality for the ratio of cubs to female bears? (4 points)

one-half
one-third
3
2
WILL GIVE BRAINLEST

Answers

Answer:

3:1 ratio

Step-by-step explanation:

Answer:

its three (c)

Step-by-step explanation: for every one female bare is 3 cubs

Help me please and thank you, and I will mark you brainliest!!

Help me please and thank you, and I will mark you brainliest!!

Answers

Answer:

270m^2

Step-by-step explanation:

30m*18m/2 = 270m^2

Answer:

270

Step-by-step explanation:

What is the symbol ~, if you're trying to find the probability of ~A?
the addition probability
the probability of the event not happening
the multiplication probability
None of these choices are correct.

Answers

The correct choice is: the probability of the event not happening.

The symbol ~ (tilde) is commonly used to represent the negation or complement of an event. When we refer to ~A, it means "not A" or "the complement of A." In terms of probability, ~A represents the event not happening or the event A occurring.

Write an addition equation that will have a proof drawing with a new ten and a new hundred.Then make the proof drawing to check.

Helppp pleaseee

Answers

On solving the provided question we cans ay that addition equation that will have a proof drawing with a new ten and a new hundred -  10x +100x + 1000x+ 10000+ 100000x+ ...= 0

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

addition equation that will have a proof drawing with a new ten and a new hundred -

10x +100x + 1000x+ 10000+ 100000x+ ...= 0

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Enter an inequality that represents the description, and then solve.
Eight more than seven times a number (x) is at least fifty-seven.
Inequality:
The solution to the inequality is

Enter an inequality that represents the description, and then solve.Eight more than seven times a number

Answers

Answer:

X >= 7

Step-by-step explanation:

7x + 8 >= 57

7x >= 57-8

7x >= 49

x >= 49/7

x >= 7

Write the comparison using <, >, or =.
Z 3 pounds
32 ounces
14 pounds
40 ounces
1,000 pounds
1 ton
4,000 pounds
1 pound and 5 ounces
1.5 pounds
2 tons
28 ounces
25 ounces

Answers

3 pounds 32 ounces < 14 pounds 40 ounces

1,000 pounds = 1 ton

1 pound and 5 ounces < 1.5 pounds

2 tons = 4,000 pounds

28 ounces > 25 ounces

What are the values in the compared weights?

The comparison of the values of the given weights is as follows:

3 pounds 32 ounces < 14 pounds 40 ounces

This is because there are fewer pounds and ounces in 3 pounds 32 ounces compared to 14 pounds 40 ounces.

1,000 pounds = 1 ton

This is because 1,000 pounds is equal to 1 ton.

1 pound and 5 ounces < 1.5 pounds

This is because 1 pound and 5 ounces is less than 1.5 pounds.

2 tons = 4,000 pounds

This is because 2 tons is equal to 4,000 pounds.

28 ounces > 25 ounces

This is because 28 ounces is greater than 25 ounces.

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Complete question:

Write the comparison using <, >, or =.

3 pounds 32 ounces vs  14 pounds 40 ounces

1,000 pounds vs 1 ton

1 pound and 5 ounces vs 1.5 pounds

2 tons vs 4,000 pounds

28 ounces vs 25 ounces

i need serious help someone pleaseeeee

i need serious help someone pleaseeeee

Answers

The value of c in the polynomial is - 7.

How to solve polynomials?

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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Ques
on 4 OT 5
The graph below is the graph of a function.
5
O A. True
ОО
OB. False
SUBMIT

Queson 4 OT 5The graph below is the graph of a function.5O A. TrueOB. FalseSUBMIT

Answers

The answer is B. False

how many 3/8 are in 5 1/2

Answers

Step-by-step explanation

mixed number form/answer: 2 1/16

Exact form: 33/16

100 Points! Geometry question. Identify the similar triangles. Then find each measure. Photo attached. Please show as much work as possible. Thank you!

100 Points! Geometry question. Identify the similar triangles. Then find each measure. Photo attached.

Answers

The triangles ABC and DBE are similar by the SAS similarity theorem

The measure of the side lengths AC is 16 units

How to identify the similar triangles.

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and DBE

These triangles have the following measures

Two similar corresponding sidesTwo equal corresponding angles

This means that the triangles are similar by the SAS similarity theorem

How to find each measure

Using the SAS similarity theorem, we have the following equation

(x + 1)/12 = (x + 5)/15

Cross multiply the equation

15x + 15 = 12x + 60

So, we have

3x = 45

Divide by 3

x = 15

This means that

x + 1 = 15 + 1 = 16

x + 5 = 15 + 5 = 20

Hence, the measure of the side lengths are 16 and 20 units

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Kyla Brooks
Question 8 - 10 Points
Mar 03, 1:26:31 PM
?
In ACDE, the measure of ZE=90°, DE = 2.1 feet, and CD = 4.4 feet. Find the measure
of ZD to the nearest tenth of a degree.
D
x
4.4
2.1
E
с

Answers

Answer:

What’s the answer

Step-by-step explanation:

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