Suppose h(t) = -0.2t? + 2t models the height, in feet, of a ball that is kicked into the air where t is
given as time, in seconds.
After how many seconds does the ball reach its maximum height?
seconds
What is the maximum height of the ball?
After how many seconds does the ball reach the ground?
seconds

Answers

Answer 1

Answer:

Below in BOLD.

Step-by-step explanation:

h(t) = -0.2t^2 + 2t

We can find the maximum height and the time by converting to vertex form:

h(t) = -0.2(t^2 - 2t)

= -0.2[(t - 1)^2 - 1)

= -0.2(t - 1)^2 + 0.2

The time to get to maximum height = 1 second and the maximum height is 0.2 m.

When the ball reaches the ground h = 0 so

-0.2(t - 1)^2 + 0.2 = 0

(t - 1)^2 =  -0.2 / -0.2 = 1

t - 1 = 1

t = 2 seconds.


Related Questions

Explain how you write “three and nine hundredths” as a decimal.

Answers

Answer:

3.09

Step-by-step explanation:

three and 9 hundredths

and meaning a decimal

hundredths is the second place after the decimal

3.09

Three and nine hundredths as a decimal form is equals to 3.09.

What is decimal form?

" Decimal form is representation of number as a combination of whole number and it fractional part."

According to the question,

Hundredths is the second digit to the right of the decimal.

Three and nine hundredths = 3.09

Hence, three and nine hundredths as a decimal form is equals to 3.09.

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Complete the equation so that it has solutions of -5 and 7
2+

Answers

Answer:

x^2 -2x -35 = 0

Step-by-step explanation:

Lets's solve backwards

x = -5

Add 5 to both sides

x + 5 = 5 - 5

x + 5  = 0

and

x = 7

Subtract 7 from both sides

x - 7 = 7 - 7

x - 7 = 0

Finding the product of both linear functions

(x + 5)(x - 7) =0

x^2 -7x + 5x -35 =0

x^2 -2x -35 = 0

Which shows a correct way to determine the volume of the right rectangular prism?
A 9 + 1 + 8 = 18 Centimeters cubed
B 2(9 + 1 + 8) = 36 Centimeters cubed
C 9(3) + 1 = 28 Centimeters cubed
D 9(8)(1) = 72 Centimeters cubed

Answers

Answer:

Option D.

Step-by-step explanation:

From the given figure it is clear that,

Length = 9 cm

Breadth = 8 cm

Height = 1 cm

We know that the volume of a cuboid is

[tex]V=Length\times Breadth\times Height[/tex]

[tex]V=9\times 8\times 1[/tex]

[tex]V=72[/tex]

So, the volume of give cuboid is 72 centimetre cubed.

Therefore, the correct option is D.

Answer:

d

Step-by-step explanation:

1. A recursive formula for the sequence 40, 30, 22.5, ... is *

Answers

The sequence is an illustration of a geometric sequence

The recursive formula of the sequence is [tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]

The sequence is given as: 40, 30, 22.5.....

So, we have:

[tex]\mathbf{a_1 = 40}[/tex]

[tex]\mathbf{a_2 = 30}[/tex]

[tex]\mathbf{a_3 = 22.5}[/tex]

Rewrite as:

[tex]\mathbf{a_1 = 40}[/tex]

[tex]\mathbf{a_2 = 40 \times 0.75}[/tex]

[tex]\mathbf{a_3 = 40 \times 0.75^2}[/tex]

Express 2 as 3 - 1

[tex]\mathbf{a_3 = 40 \times 0.75^{3-1}}[/tex]

Substitute n for 3

[tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]

Hence, the recursive formula is [tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]

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HigherOrder thing name two rays with the same endpoint in the figure below. Do they form an angle? Explain.

Answers

Ray AC and Ray CA. Yes, they form an angle of 180 degrees because they are both on a straight line.

In Mathematics and Euclidean geometry, a ray is composed of two points that are joined by a straight line and it extends infinitely in a single direction.

A line is a mark with length and direction, that is created by a point that is moving across a surface and extending infinitely.

By critically observing the figure shown in the image attached below, we can logically deduce that two rays with the same endpoint include:

Ray AC

Ray CA.

Complete Question:

Higher Order thinking Name two rays with the same endpoint in the figure below. Do they form an angle? Explain.

Find the difference. -16 – 6

Answers

Answer:

-16 - 6 would be -22

Step-by-step explanation: The reason for this is is simple subtraction except in this case you wanna think of addition. -16 - 6 can also be thought of 16+6. In that case you get 22 and then you just add the negative sign.

Which situation CANNOT be represented by this equation? 6−7=29?
1) Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6 on gas, how many hours, , will he need to mow to have $29 left?
2) Joel mows his aunt's lawn for $6 per hour. If he spends $7 on gas, how many hours, , will he need to spend mowing the lawn to have $29 left?
3) Joel takes 6 hours to mow his aunt’s lawn. If he spends $7 on gas, how much does he get paid per hour, , to mow the lawn and still have $29 left?

Answers

Answer:

The answer is Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6 on gas, how many hours, x, will he need to mow to have $29 left?

Step-by-step explanation:

Combine like terms to simplify the expression 3X + 5 - X + 1

Answers

When you combine the terms the expression you get is 2x + 6. You can add 3x and -x which is 2x and then you can combine 5 and 1 which is 6! I hope this helped!!

A transformation is applied to a figure to create a new
figure. Which transformation does not preserve congruence?
O A reflection across the x-axis
O A translation 7 units down
O A dilation by a scale factor of 5
O A rotation of 90° clockwise

Answers

The only transformation that does not preserve congruence is a translation 7 units down

Transformation of figure

Transformation is the process of changing the position of an object on an xy-plane.

A reflection preserve the congruence since it only create a mirror image of the figure.

Dilation also preserve congruence since it only enlarges the given figure. The only transformation that does not preserve congruence is a translation 7 units down

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Find the area of a circle with a diameter of 16.Answer as a decimal

Answers

Answer:

201.06

Step-by-step explanation:

This is because the formula of the area of a circle is A=(pi)(r) squared

Since the radius if half of the diameter, the radius would then be 8.

8 squared, or 8 x 8 = 64.

64 times pi (64 x 3.14159)= 201.06

A person invests 9000 dollars in a bank. The bank pays 4.25% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 19600?

Answers

The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.

Step-by-step explanation:

The given is,

                       A person invests 9000 dollars in a bank      

                      The bank pays 4.25% interest compounded daily

                      Future amount $19600

Step:1

                     Formula to calculate the future investment with compounded daily,

                                                  [tex]A = P (1+\frac{r}{n})^{nt}[/tex]................................(1)

                   Where, A - Future amount

                                P - Initial investment

                                r - Interested rate

                                n - No.of times for a year

                                t - No.of years

Step:2

              From the given values,

                      A = $ 19600

                      P = $ 9000

                       r = 4.25 %

                      n = 365  ( ∵ Compounded daily )

           Equation (1) becomes,

                                        [tex]19600 = 9000(1+\frac{0.0425}{365})^{365t}[/tex]

                                         [tex]\frac{19600}{9000}= (1+0.000116438)^{365t}[/tex]

                                   [tex]2.177778=(1.000116438)^{365t}[/tex]

            ( Take log on both sides )

                               [tex]log 2.17778= log (1.000116438)^{365t}[/tex]

                               [tex]log 2.17778=( 365t)log (1.000116438)[/tex]

           Substitute the log values,

                                  [tex]0.338014 = (365t)(0.000050565)[/tex]

                                [tex]\frac{0.338014}{0.000050565}= 365t[/tex]

                                [tex]6684.6842 = 365t[/tex]

                                              [tex]t = \frac{6684.6842}{365}[/tex]

                                                 = 18.314

                                                 ≅ 18 years

                          No.of years, t = 18 years

Result:

              The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.

It will take approximately 18.4years for the person to make 19600

The formula for calculating the compound amount is expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex] where:

A is the amount

P is the amount invested

n is the compounding amount

t is the time taken

Given the following parameters

A =  19600

P = 9000

r = 4.25% = 0.0425

n = 365 (compounded daily)

Substitute the given parameters into the formula to get the time "t"

[tex]19600 = 9000(1+\frac{0.0425}{365} )^{365t}\\2.1778 = (1+0.0001164)^{365t}\\2.1778 = (1.0001164)^{365t}\\log2.1778 = 365tlog(1.0001164)\\0.3380 = 0.0184t\\t = \frac{0.3380}{0.0184} \\t \approx 18yrs[/tex]

Hence it will take approximately 18.4years for the person to make 19600

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Michelle earns $5 for each lawn she mows. Last week she earned $30 mowing lawns. This week she earned $20 mowing lawns. Which statement correctly explains how many more lawns Michelle mowed last week than this week? A) Michelle mowed 2 more lawns because 30 ÷ 5 is 2 more than 20 ÷ 5. B) Michelle mowed 10 more lawns because 30 + 5 is 5 more than 20 + 5. C) Michelle mowed 10 more lawns because 30 – 5 is 10 more than 20 – 5. D) Michelle mowed 50 more lawns because 30 × 5 is 50 more than 20 × 5.

Answers

Answer: A

Step-by-step explanation:

Answer:

A is correct because it is the only one to make sense

Which equation is true for triangle QRS? StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (S) Over 2.4 EndFraction StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (Q) Over 2.4 EndFraction StartFraction sine (100 degrees) Over 2.4 EndFraction = StartFraction sine (S) Over 3.5 EndFraction StartFraction sine (100 degrees) Over 24 EndFraction = StartFraction sine (Q) Over 3.5 EndFraction

Answers

Answer:

it's a

Step-by-step explanation:

Final answer:

Without more information on triangle QRS, the potential true equations could be 'sin(100 degrees) / 3.5 = sin(S) / 2.4' and 'sin(100 degrees) / 2.4 = sin(Q) / 3.5' based on the law of sines.

Explanation:

The question is asking which equation formed by the law of sines is true for the triangle QRS. As it is not completely clear from the given data, let's apply the law of sines in a general form for triangle QRS: sin(Q)/QR = sin(R)/RS = sin(S)/SQ. Comparing this to the provided options we could suggest that the correct equation could be: sin(100 degrees) / 3.5 =  sin(S) / 2.4 and sin(100 degrees) / 2.4 = sin(Q) / 3.5. These are possibilities if we assume that the angle at Q is 100 degrees and the lengths of the sides opposite these angles are 3.5 and 2.4 respectively. However, without more specific information about triangle QRS, these conclusions are speculative.

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Please help me. You must show all work

Answers

Answer:

21

Step-by-step explanation:

which equation will be parallel to y=6 A)Y= -6x B)X=6 C)y=1 D)Y=6x

Answers

Answer:

C) y = 1

General Formulas and Concepts:

Algebra I

y = b lines have a slope of 0Parallel Lines - Lines that have the same slope but different y-intercepts. They never intersect.

Step-by-step explanation:

We are given the line y = 6, a horizontal line with a slope of 0.

According to the answer choices, we need to find an equation of a line that also has a slope of 0.

A, B, and D are all incorrect, as they have a different slopes than the original line (Slope of -6, undefined, and 6 respectively).

Therefore, our only option is C, which is the correct answer.

y = 1 has the same slope, a slope of 0. However, it has a different y-intercept, a y-intercept of 1 compared to the original y-intercept 6. They are parallel and will never intersect.

Dose anyone know what to do I don’t know how

Answers

Answer:

a=7b+27/2

Step-by-step explanation:

1: Add 7/3b to both sides.

2 /3 a+  −7 /3b  + 7/3b = 9+ 7/3b

2/3a=7/3b+9

2: Divide both sides by 2/3.

2/3a= 7/3b + 92

/ 2/3a    / 2/3a

a=7b+27/2


Janice examines the given triangle and estimates that the longest side has a length of 25 units―if it is a right triangle. How does her estimate compare to the actual length?
It is exactly correct.
It is under by approximately 0.6 units.
It is over by approximately 0.6 units.
It is over by 13 units.

Answers

Answer:it is under by approximately 0.6 units

Step-by-step explanation:

Answer:

its B. (it is under by approximately 0.6 units.)

Step-by-step explanation:

I got it right on 2020 Edu.

there is 15 girls and 25 boys in a science club . what percent of the members are girls?

Answers

Answer:

Step-by-step explanation:

Total member = 25 + 15 = 40

[tex]girls percentage = \frac{15}{40}*100\\\\=\frac{15}{2}*5\\\\=\frac{75}{2}=37.5\\[/tex]

= 37.5%

What is the area of the following circle? Either enter an exact answer in terms of pie or use 3.14 for pie and enter your answer a decimal

Answers

Final answer:

The area of a circle with a radius of 1.2 meters is 4.5 m², rounded to two significant figures to match the precision of the given radius.

Explanation:

The area of a circle is given by the formula A = πr², where π (pi) represents a mathematical constant approximately equal to 3.14159, and r is the radius of the circle. When calculating the area with a radius of 1.2 meters, we get the precise calculation as A = π(1.2 m)² = 4.5238934 m². However, as the radius is given with only two significant figures, the area should also be rounded to two significant figures, resulting in A=4.5 m².

There is 1000cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough aluminum for a trophy that has a base edge of 10 cm and a slant height of 13 cm.

Answers

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Step-by-step explanation:

The given is,

                    Volume of aluminium available is 1000 cubic centimeters

                    Shape of trophy is right square pyramid

                    Trophy has a base edge of 10 cm and slant height of 13 cm

Step:1

                     Formula for volume of right square pyramid,

                                               [tex]Volume, V = a^{2}\frac{h}{3}[/tex].....................................(1)

                     Where, a - Base edge value

                                  h - Height of pyramid

                      From given,

                                        a = 10 cm

                                        h = 13 cm

                      Equation (1) becomes,

                                           [tex]= 10^{2}(\frac{13}{3} )[/tex]

                                           [tex]= (100)(4.333)[/tex]

                                           [tex]= 433.33 cm^{3}[/tex]

             Volume of trophy = 433.33 cubic centimeters

             Compare with the volume of available aluminium and volume of right square pyramid,                          

            [tex]Volume of available aluminium > Volume of right square pyramid[/tex]

                                               [tex]1000 cm^{3} > 433.33 cm^{3}[/tex]

            So, the given volume of aluminium is enough to make right square pyramid shaped trophy.

Result:

          The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Answer:

Yes, the volume of the trophy is 400 cm3

PLEASE HELP 35 PTS Select the correct answer.

The scatter plot shows the number of albums sold from 2006 to 2011. What is the association between the two quantities?
A.
positive linear association
B.
negative linear association
C.
positive nonlinear association
D.
no association

Answers

Answer:

Its definetley negitive linerar assosiation

plato lives matter

Step-by-step explanation:

The association between the two quantities is a negative linear association.

Option B is the correct answer.

What is a scatterplot?

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,

From the scatter plot we see that,

As the year increases, the album sold decreases.

This means,

There is a negative association.

And the association is more or less a straight line.

Thus,

The association between the two quantities is a negative linear association.

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Solve the following problem:
-3 + 7 -5 + (-10)
how do i get the answer to solve it

Answers

Answer:

-11

Step-by-step explanation:

-3+7-5+(-10)=

7-3-5-10=

7-18=

-11

Factor as the product of two binomials.
x^2 + 6x + 9 =

Answers

Answer:

(x + 3) (x + 3)

Step-by-step explanation:

This is because if you solve that, it would be x² + 3x + 3x + 9

Therefore it would equal x² + 6x + 9

Answer:

I need help on this one to its hard

Which of the following are statistical questions? Select all.

A.When is your birthday?

B.What is the height of the Willis Tower in Chicago?

C.How many points did the basketball team score each game last season?

D.Do you have any pets?

E.What is the least amount of snow in one month last year?

F.What is the speed limit?​

Answers

c and e because statistical questions can be answered by collecting data that can have variability.

PLEASE HELP: A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 540.08 yd. What is the surface area of the sphere? Use 3.14 for pi.

Answers

Final answer:

The problem involves finding the surface area of a sphere using its circumference. This can be achieved by first calculating the radius from the given circumference, and then substituting  this value into the formula for the surface area of a sphere.

Explanation:

The subject for this problem is finding the surface area of a sphere using its circumference. To solve this, you need to apply some mathematical concepts and formulas related to spheres and circles. The circumference of a circle (or the widest circle in a sphere, in this case) is given by

C=2πR, where R is the radius of the circle.

So, first, you need to find the radius of the sphere from the given circumference:

540.08 = 2πR, solve this to get R = 540.08 / (2*3.14).

According to the formula for the surface area of a sphere A=4πR²,

we can substitute the value of R that we have calculated to find the surface area of the sphere.

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in circle F, points A,B,C,D, and E are located on the circle such that measure of C=119°, and BE is perpendicular AD. determine the measure of arc AE. show how you arrived at your answer.

Answers

Answer:

Measure of arc AE = 58°

Step-by-step explanation:

As shown: ABCD is a quadrilateral, ∠C = 119°

So, ∠C + ∠A = 180°

∴ ∠A = 180° - ∠C = 180° - 119° = 61°

ΔAGB is a right triangle at G

So, ∠A + ∠B = 90°

∴ ∠ABG = 90 - ∠A = 90 - 61 = 29°

Arc AE opposite to the angle ∠ABG

So, measure of arc AE = 2∠ABG = 2 * 29° = 58°

1. The monthly rents for studio apartments in a certain city have a mean of $920 and a standard deviation of $190. Random samples of size 25 are drawn from the population and the mean of each sample is determined.



What is the mean of the indicated sampling distribution of sample means?



2. What is the standard error of the indicated sampling distribution of sample means?



3. Which one is more likely to take place?



a. Find one studio apartment that has a rent between $901 and $939.



b .Find a sample of 25 studio apartments with a mean rent between $901 and $939.

Answers

Answer:

1)Mean=920 $

2)Standard Error =S.E.=38

3)more likely to take place Event 25 studio apartments with a mean rent between $901 and $939

Step-by-step explanation:

Given:

True mean =920 $

S.D=190 $

No .of samples=25

To Find:

1)Mean of sample.

2)S.E

Solution:

Now , the mean for given sample distribution is  given as 920 $

Hence Mean =920 $

Now calculating the Standard error

S.E.= S.D./Sqrt(n)

=190/Sqrt(25)

=190/5

=38

Therefore the Standard error is about 38 .

a) When n=1 then P(901≤X≤939)

So,

Z1=(901 -920)/190/Sqrt(1)]

Z1=-0.1

Z2=(939-920)/(190/Sqrt(1)]

Z2=0.1

So

Pr(-0.1≤Z≤0.1)=P(Z≤0.1)-P(Z≤-0.1)

=0.5398-0.4602

=0.0797  % chance of the sample distribution

b)n=25 then P(901≤X≤939)

Z1=(901-920)/S.E

Z1=-19/38=

Z1=-0.5

And Z2=0.5

So,

Pr(-0.5≤Z≤0.5)

=Pr(Z≤0.5)-Pr(Z≤-0.5)

=0.6915-0.3085

=0.3829

i.e 38.29 % chance of the sample distribution

Hence More likely to take place will be a sample of 25 studio apartments with a mean rent between $901 and $939.

0.3829>0.0797.

Because the probability of causing above event is more than the option A.

2.5 x + 10 = x minus 0.5?

Answers

Answer: x = -7

Step-by-step explanation:

2.5x+10=x-0.5

Collect like terms

2.5x-x= -0.5 -10

1.5x= -10.5

X= -10.5/1.5

X= -7

Answer: -7

Step-by-step explanation:

Write the set of points from -5 to -2 but excluding -4 and -2 as a union of intervals

Answers

Answer:

[-5,-4) U (-4,-2)

Step-by-step explanation:

The brackets means including, the parenthesis does not include the number it is next too. The U in between the two points stands for union.

Which would prove that ΔABC ~ ΔXYZ? Select two options.

Answers

Step-by-step explanation:

I think by the having all 2 of angles are equal

and corresponding sides are in same ratio

and by having all corresponding sides in same ratio

Answer:

I think it is option a, b, and c.

Step-by-step explanation:

Other Questions
Lola signed an employment agreement in which she agreed to arbitration if a legal dispute arose between her and her employer. There is documentation (recorded conversations/video) that confirm a package delivery driver has been harassing Lola the past three weeks. Although Lola has reported a number of these instances to her supervisor, nothing has been done. Today, she was advised her company cannot do anything about the harassment because the driver is not an employee, and that she must pursue arbitration to resolve any employment related issue. Lola's company is not at risk of a lawsuit.A. TrueB. False Read the excerpt from part 2 of "Flowers for Algernon." I know I should rest, but I'm driven on by something inside that won't let me stop. I've got to find the reason for the sharp regression in Algernon. I've got to know if and when it will happen to me How does Charlie react when he realizes that he will likely face the same fate as Algernon? An indoor physical fitness room consists of a rectangular region with a semicircle on each end. The perimeter of the room is to be a 200-meter running track. Find the dimensions that will produce a maximum area of the rectangular region. Identify the part(s) of the brain involved with short-term memory and long-term memory Plz help I will give brainliest answer In the consumer buying decision process, the information search stage yields a group of brands that a buyer views as possible alternatives. involves a buyer becoming aware of the need for a product. is not necessary when the buyer is involved in extensive decision making. occurs immediately after evaluation of alternatives. is lengthy for routine response buying behavior. Frank is passionate about improving police departments across the state and instituting community policing reforms to improve law enforcement practice. He should probably seek employment with which Florida state government department? A. Department of management servicesB. Department of military affairsC. Department of law-enforcementD. Department of transportation Figure B Is the image of the Fugure A. Which description explain how Figure A was transformed to create Figure B Someone please help. Determine the solution by using substitution. Write your answer as a point below (x,y). Multiply the sum of the range of cells A7 through B10 by the sum of the range of cells B2 through C9 The fact that the zebra's stripes are passed down in its DNA indicates that the stripes may serve an evolutionary advantage. What do you think is the evolutionary need for such complex designs? After the Civil War, Why did cattle ranching become a good job? What does aunt Alexandria take concerning the trial Which statement represents the expression 11 (30 + 7)? If Jack bought 21 DVDs last year when his income was $30,000 and he buys 23 DVDs this year when his income is $35,000, then his income elasticity of demand is ______________ which means that DVDs are a(n) ______________ good for Jack. Rewrite 100,000 as a power of 10 The area of a square is 81 Squareunits. Find the length of a side. Does 10 + 8 and 4 + 4 + 10 equal the same?YesNo Positive symptoms of schizophrenia are the ________ of inappropriate behaviors