A click beetle abruptly releases elastic energy stored in its body to launch itself into the air. The function h(t)=−16t^2+8t represents the height h (in feet) of the click beetle t seconds after launching. The height of a second click beetle t seconds after launching is shown in the graph. Which click beetle went higher?

A Click Beetle Abruptly Releases Elastic Energy Stored In Its Body To Launch Itself Into The Air. The

Answers

Answer 1

Answer:

The first click beetle went higher.

Step-by-step explanation:

The vertex is the minimum point of a parabola that opens upwards, or the maximum point of a parabola that opens downwards.

Since the height of each of the beetles at time, t seconds, is modelled as a parabola that opens downwards, the maximum height of each beetle is the y-value of the vertex.

First Click Beetle

The function representing the height, h, of the first beetle is:

[tex]h(t)=-16t^2+8t[/tex]

We could complete the square to rewrite the function in vertex form, however the quickest way to find the vertex of a quadratic function in the form ax² + bx + c is to use the formula for the x-value of the vertex:

[tex]\boxed{x_{\sf vertex}=-\dfrac{b}{2a}}[/tex]

Comparing  ax² + bx + c with the given function:

a = -16b = 8c = 0

Therefore, substituting the values of a and b into the formula, the x-value of the vertex of h(t) is:

[tex]x_{\sf vertex}=-\dfrac{8}{2(-16)}=0.25[/tex]

To find the y-value of the vertex, and thus the maximum height of the first beetle, simply substitute t = 0.25 into function h(t):

[tex]\begin{aligned}\implies h(0.25)&=-16(0.25)^2+8(0.25)\\&=-16(0.0625)+2\\&=-1+2\\&=1\end{aligned}[/tex]

Therefore, the maximum height of the first beetle is 1 foot.

Second Click Beetle

From inspection of the given graph modelling the height of the second beetle, we can see that the maximum y-value is approximately 0.76 feet.

Conclusion

As the height of the second click beetle is less than the maximum height of the first click beetle, the first beetle went higher.

A Click Beetle Abruptly Releases Elastic Energy Stored In Its Body To Launch Itself Into The Air. The

Related Questions

Please Help!!! I will give brainlist if right and explained!!!
Mr. Lewis borrows $4,200 from his bank to buy a motorcycle. The loan has a 5% annual simple interest rate. If it takes Mr. Lewis three years to pay back the loan, what is the total amount he will be paying back?
(include the $ symbol)

Answers

Answer:

$4,200 + $4,200(.05)(3) = $4,830

Step-by-step explanation:

Principal = $4,200

Interest = $4,200(.05)(3) = $630

Total = $4,200 + $630 = $4,830

Please help me,
Gia is thinking of a number, which she calls n. She adds 4 to the number and then doubles the sum.
Write an expression to represent Gia's number.

(I don't know what the expression is, if u can help me, please write the answer! :)

Answers

Answer: 2n + 8

Step-by-step explanation:

1st part:
n + 4

2nd part:
Multiplies the 1st part by 2

2(n + 4)

2n + 8

Which angle is adjacent to ADB?

Answers

the angle adjacent to ADB is ADC.

“Adjacent” means “next to,” and by following the lines

A to D
then D to C

the angle becomes ADC.

To find the angle next to ADC, follow

A to D
and D to B

to get angle ADB.

Using the data below, what conclusions could you NOT draw? Select all that apply.

The longer car will travel the fastest down the ramp

The car with more mass will travel the fastest down the ramp.

The car with the least mass will travel the fastest down the ramp.

Changing the ramp height will cause the car to travel faster.

Answers

Answer:

The longer car will travel the fastest down the ramp

The car with the least mass will travel the fastest down the ramp

Changing the ramp height will cause the car to travel faster

Step-by-step explanation:

The longer car will travel the fastest down the ramp

On the table, we are not told what effect a longer car would have on the time taken. We are only told about the mass of car, this means that this would be one of the conclusions you could not draw.

The car with the least mass will travel the fastest down the ramp

We can see on the table that the higher than mass of a car, the quicker the car takes to go down the ramp. This is as the time taken is shorter so it had taken less time. This opposes the statement we are given therefore it should be incorrect.

Changing the ramp height will cause the car to travel faster

On the table, there is not information regarding ramp height meaning that this statement would automatically be incorrect

Hope this helps, have a lovely day! :)

What is an angle that is complementary to FGA?

Answers

Answer: Angle AGB

Step-by-step explanation: Complementary angles are two angles that in total their measures add up to 90 degrees.

We can see the opposite angle across FGB, CGB is a right angle so therefore it means FGB is a right angle.

Since we know FGB is a right angle, FGB + AGB = 90 degrees

I need help on this.this is for homework help me please

Answers

Answer:Statistical,Both

Step-by-step explanation:

Its right trust !

should be statistical and I think it should be both

5 (10.3) - 4 ( 2 - 2y)

Answers

The answer your looking for is 43.5 + 8y
The answer is 8y + 43.5

A co-worker notices that the original box costs $0.22 per square foot of cardboard, and the new box costs $0.15 per square foot of cardboard. She claims that the new box must cost less than the original box. Explain why your co-worker's claim is incorrect. Include all necessary work to support your answer.
pls help

Answers

Answer:

Original box costs less than the new box.

Step-by-step explanation:


A). original box has a surface are of 216 sq in

2(10x6)+2(6x3)+2(10x3) = 216sq in

216sq in/144sq in = 1.5sq ft

1.5 sq ft x .22 = .33 per sq ft

B) new box has a surface area of 434 sq in

2(15x11) + 2(11x2) + 2(15x2) = 434 sq in

434sq in/144 sq ft = 3.01sq ft

3.01 sq ft x .15 = .45 per sq ft

help me solve the following with each step explaining square binomial (4x-5y)²

Answers

To expand the square of the binomial `(4x-5y)²`, you can use the FOIL method or the binomial square formula:

Using FOIL:

(4x - 5y)² = (4x - 5y)(4x - 5y) (writing out the square as a multiplication of the binomial by itself)

= 16x² - 20xy - 20xy + 25y² (using the FOIL method)

Simplifying:

= 16x² - 40xy + 25y²

Using the binomial square formula:

(4x - 5y)² = (4x)² - 2(4x)(5y) + (5y)² (formula: (a - b)² = a² - 2ab + b²)

= 16x² - 40xy + 25y²

Thus, the expanded form of the binomial `(4x-5y)²` is `16x² - 40xy + 25y²`.

Answer:

i do not know where the following is but here.

Step-by-step explanation:

To square the binomial (4x-5y)², we can use the formula:

(a - b)² = a² - 2ab + b²

In this case, a = 4x and b = 5y. So, we have:

(4x - 5y)² = (4x)² - 2(4x)(5y) + (5y)²

Simplifying the terms inside the parentheses, we get:

= 16x² - 40xy + 25y²

Therefore, the square of the binomial (4x-5y) is equal to the trinomial 16x² - 40xy + 25y².

Each term in the trinomial is obtained by squaring the corresponding term in the binomial and then applying the formula for the cross-product (-2ab).

So, (4x)² = 16x², (5y)² = 25y², and (-2)(4x)(5y) = -40xy.

Therefore, (4x-5y)² = 16x² - 40xy + 25y².

1) Is this figure a polygon? Yes or no.

Answers

Answer:no

Step-by-step explanation:

it does not have 4 sides.

no it is not a polygon

Pls solve and give all steps with work

Answers

Answer:

y = 6

z = 3.25

x = 3.5

Step-by-step explanation:

12 * 0.5 = 6

6.5 * 0.5 = 3.25

7 * 0.5 = 3.5

Answer:

X = 3.5 inches

Y = 6 inches

Z = 3.25 inches

Step-by-step explanation:

Length of the larger tissue box = 12 inches

Breadth of the larger tissue box = 6.5 inches

Height of the larger tissue box = 7 inches


The small tissue box is dilated by - 0.5


So, the measures of the smaller tissue box is 0.5 times the larger tissue box.

Measures of the smaller box will be -

Length of the smaller tissue box = 12 * 0.5

                                                        = 6 inches

Breadth of the smaller tissue box = 6.5 * 0.5

                                                          = 3.25 inches

Height of the smaller tissue box = 7 * 0.5

                                                        = 3.5 inches


According to the variables,

X = Height

Y = Length

Z = Breadth

Height = 3.5 inches

Length = 6 inches

Breadth = 3.25 inches

X = 3.5 inches

Y = 6 inches

Z = 3.25 inches


Hope my answer helps you.

:)

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The dot plot below represents the number of goals scored by the boys' soccer team in every game so far this season. please help me

Answers

The answer is 2. You number the data from least to greatest and find the middle number.

Please answer this question fast.

Answers

Answer:

1.5

Step-by-step explanation:

[tex]30\div20[/tex]

The solution is, the scale factor is 1.5.

What is scale factor?

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

given that,

from the given diagram, we get,

there are two squares with side 20 and, 30

one square is scaled copy of the other,

so, the scale factor is :

length of scaled square/ length of normal square

= 30/ 20

=3/2

=1.5

Hence, The solution is, the scale factor is 1.5.

To learn more on scale factor click:

brainly.com/question/5992872

#SPJ5

Which angle is complementary to EFA?

Answers

Answer: DFE

Step-by-step explanation:

complementay=90 degrees

What is the distance between -4 and its' opposite on the number line? 4 8 - | -8| -4

AWNSER CORRECTLY PLEASE I NEED TO RASIE MY GRADE SOMEONE PLEASE ASAP AND CORRECTLY

Answers

The distance between -4 and its opposite on the number line is 8 units

We know that opposite of 4 is −4.

So, we need to find the distance between 4 and −4 on number line.

We know that absolute value of −4 and 4 is 4

So, the distance between −4 and 4 is 8 units.

-4 and 4 is 8 (distance)

We know this beach they are on opposite sides of the number line, you have to add the points and then you get the distance.

5x=0.4 do i multiply each side by 5,-5,1/5 or -1/5

Answers

Step-by-step explanation:

5x=0.4
5x=2/5
Multiply with 5 to remove the fraction

Please add explaination

Answers

You count the number of blocks in hight then in length and multiply the answers
It’s around 18 count the inner blocks and see if the ones that aren’t full blocks are equal Im pretty sure it’s 18 I might be wrong if I am that’s embarrassing for me.

According to some estimates, our galaxy, the milky way contains about two hundred billion stars. Use digits to write that number of stars

Answers

Answer: 2,000,000,000
100 billion explanation: Our Milky Way galaxy is just one of the billions of galaxies in the universe. Within it, there are at least 100 billion stars, and on average, each star has at least one planet orbiting it. This means there are potentially thousands of planetary systems like our solar system within the galaxy!

WILL MARK BRAINLIEST!!!!!!
A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.

A polygon with a horizontal top side labeled 50 yards. The left vertical side is 35 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 18 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 20 yards.

What is the area of the playground?

1,750 square yards
1,855 square yards
2,730 square yards
3,710 square yards

Answers

Answer:

1250

Step-by-step explanation:

To calculate the area of the playground, we need to divide it into two smaller polygons: a rectangle and a right triangle.

The rectangle has a width of 50 yards and a height of 18 yards, so its area is:

50 yards x 18 yards = 900 square yards

The right triangle has a base of 20 yards and a height of 35 yards, so its area is:

(20 yards x 35 yards) / 2 = 350 square yards

The total area of the playground is the sum of the areas of the rectangle and the triangle:

900 square yards + 350 square yards = 1250 square yards

Therefore, the answer is not listed among the options provided. Perhaps there was an error in the given dimensions, or the correct answer was not included.

Please help,
(It’s due tomorrow by the way)

Answers

Answer:

50x5

Step-by-step explanation:

The equation will be 50 x 5

2(x +3) = 2x + 6 is an example of which property?

Answers

The property of the given expression [tex]2(x +3) = 2x + 6[/tex] is an example of Distributive property.

You distribute the 2 to the x and get 2x, then distribute the 2 and the 3. [tex]2\times3=6[/tex]. This gets you [tex]2x+6[/tex].

Answer: Distributive property over addition

Step-by-step explanation: You are distributing 2 to in terms inside the parentheses, x and 3.

A wedding photographer charges a $50 sitting fee plus $40 per hour (h).

write an exspression to represent the problem

please

Answers

Answer:

c = 40h + 50

Step-by-step explanation:

c = the amount charged for the wedding pictures.

h = the number of hours

Helping in the name of Jesus.

Step-by-step explanation:

c = 40h + 50

Step-by-step explanation:

c = the amount charged for the wedding pictures.

h = the number of hours

PLEASE HELP! DUE TODAY

Find the area of the irregular figure.

Answers

Answer: 4,763cm

Step-by-step explanation:

figure out the first rectangle, 70 x 48=  3360

Then find the bottom number with the inner height 38 x 23 = 874

Next, you would move the triangle that is dotted over to the undotted on on the right to get a square giving you 23 x 23 = 529

In the end you add it all 3,360 + 874 + 529 = 4,763

4970

1. find the area of the big space which is 70x48 which is 3360
2. then find the area of the smaller rectangle which is 38x23 and that’s 874
3. than you’re stuck with the two triangles and we know two triangles is a square. you’re going to subtract 70 by 38 because that’s the total area minus the amount we already know and you get 32. you’re going to multiply 32 and 23 and get 736. add those together

Solve and show steps

Answers

Answer:

Step-by-step explanation:

Answer:

6.25 inches

Step-by-step explanation:

Fraction of an inch that is used to represent 3 miles = 3/4 inch (0.75 inch)

Number of miles that is used to represent 3/4 inch = 3 miles

Fraction of an inch that is used to represent 1 mile = 3/4/3 inch

                                                                                        = 0.75/3

                                                                                        = 0.25 inch

Number of inches that are used to represent 25 miles = 3/4/3 * 25

                                                                                              = 0.75/3 * 25

                                                                                              = 0.25 * 25

                                                                                              = 6.25 inches

So the length of the map = 6.25 inches


Hope my answer helps you.

:)

Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss

petra jogs 3 miles in 27 minutes. find the unit rate in minutes per mile. how long would it take for her to jog 5 miles? show your work.

Answers

Answer: It would take her 45 minutes to jog 5 miles because first you have to divide 27 by 3 and you get 9 and then you multiply 9 by 5 and you get 45

27/3 = 9 minutes per mile 9X5 = 45 it would take her 45 min

*50 points* Geometry 7th grade
Please please PLEASE help

Answers

Answer:

D. Angles 2,4

Step-by-step explanation:

They are both adjacent, which makes the answer D. the correct answer.

Answer:

B

Step-by-step explanation:

Both have a common vertex and side (next to each other).

Pls solve show each step

Answers

The scale is 1cm = 50m

So height in model = 381/50

                                = 7.62cm

Answer: 7 31/50 cm

Step-by-step explanation:

The scale is 50 m = 1 cm

381 divided by 50 is 7 r31

This means that the height of his model in centimeters is 7 31/50 cm.

Hope this helps!

EXPANDING BRACKETS -
x(3x+2)

Answers

Answer:

[tex]3 {x}^{2} + 2x[/tex]

Step-by-step explanation:

Expanding brackets means multiplying every term inside the bracket by the term on the outside and then collecting like terms with the aim of removing the set of brackets

[tex]x(3x + 2) = 3 {x}^{2} + 2x[/tex]

Answer:

3x² + 2x

Step-by-step explanation:

Given equation, x(3x + 2)

                            = x(3x + 2)

                       Distributive property

                            = {(x * 3x) + (x * 2)}

                            = {(1 * x * 3 * x) + (1 * x * 1 * 2)}

                                  Rearranging like terms

                            = {(1 * 3 * x * x) + (1 * 1 * 2 * x)

                            = [{(1 * 3) * (x * x)} + {(1 * 1 * 2) * x)}]

                            = {(3 * x²) + (2 * x)}

                            = (3x²) + (2x)

                            = 3x² + 2x

Multiple choice need help
It’s the problems on the top the matching question

Answers

Answer:

A3

B1

C2

D4

Step-by-step explanation:

whats the surface area of this rectangle?

1cm 8cm 4cm

Answers

Question:

whats the surface area of this rectangle?

1cm 8cm 4cm

Answer:

13 cm

1cm + 8cm + 4cm = 13cm
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