When an object is projected into the air, it follows the path of a parabola. The equation always has the
same form, but the numbers change based on the data for the projectile:
If a cannonball is launched from a height of 29.4 m above the ground with an initial velocity of 24.5 m/s,
then the equation that models its path would be h(t) =
-4.9+7 + 24.5t + 29.4. This graph shows its
path: What is the height of the cannonball before it is launched,
at t=0? Remember to include units

When An Object Is Projected Into The Air, It Follows The Path Of A Parabola. The Equation Always Has
When An Object Is Projected Into The Air, It Follows The Path Of A Parabola. The Equation Always Has

Answers

Answer 1

Answer:

29.4 m

Step-by-step explanation:

From the graph

You can clearly infer from the graph that the initial height of the cannon ball, before it is launched is 29.4 mJust find t = 0, and see where the line of the graph intersects the y-axis, which represents height of the cannon ball w.r.t time.

From the equation

An even simpler method is substitute t = 0 into the equation for the motion of the cannon ballh(0) = -4.9(0)² + 24.5(0) + 29.4h(0) = 29.4 m

Related Questions

A parking garage charges a fixed amount of money for each hour that it is used.

Answers

Ok what is the rest of the question

state how the graph will change

Answers

Option 4 is the correct one

Write an expression equivalent to/that has two terms. 2x - 1/2 (10 - 4x)​

Answers

Answer:

4x - 5

Step-by-step explanation:

To make this 2 terms, we'll have to first identify if we have to distribute anything.

Since 10 - 4x is inside a parenthesis and [tex]\frac{1}{2}[/tex] is beside that, we know that we'll have to distribute the expression.

[tex]-\frac{1}{2}[/tex] (10 - 4x) = [tex]-\frac{10}{2}[/tex] + [tex]\frac{4}{2}[/tex]x = -5 + 2x.

Then, combine like terms:

2x - 5 + 2x = 4x - 5.

Remember, the coefficient always goes before the constant.

Your answer should be 4x - 5.

the table shows some ordered pairs that belong to quadratic function h​

Answers

The table represents the quadratic function h​(x)

The range of the quadratic function is (d) all real numbers greater than or equal to -8

How to determine the range?

The range of the quadratic function is the list of the function ouput values.

From the table, we have:

The smallest output value is -8

Assume this is the vertex of the quadratic function, the range of the quadratic function would be (d) all real numbers greater than or equal to -8

Read more about range at:

https://brainly.com/question/10197594

A. Dilation

B. Rotation

C. Reflection

D. Translation

Answers

Answer:

C

Step-by-step explanation:

Both the figures are mirror images of each other and equidistant from the y-axis, so they are reflected across the y-axis.

Answer:

Reflection

Step-by-step explanation:

Figure one was reflected accross the y axis to create figure two :)

Have an amazing day!!

Please rate and mark brainliest!!

This is just a question to answer to boost your points. (students who need points to find answers only!)

What is the correct answer to 5x5/2?

Answers

Answer:

it would be 12.5

Step-by-step explanation:

brainly deleted my answer from before

HELP 80 POINTS
Solve the right triangle.
Round your answers to the nearest tenth

Answers

answer:

A=46°

a=17.983 (tenths- 18, hundredths- 17.98)

b=17.366 (tenths- 17.4, hundredths- 17.37)


explanation:

1. find angle A

it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.

90°+44°=134°

180°-134°=46°

A=46°

2. find side a

using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.

cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)

25cosine44°=a
a=17.983

3. find side b

finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.

sine44°=[tex]\frac{b}{25}[/tex]

(multiply both sides by 25)

25sine44°=b

b=17.366

--

if this helped, please consider giving brainliest !

The sequence below is arithmetic:
{3, -6, -15,-24}
True
False

Answers

Answer:

True

Step-by-step explanation:

For the sequence to be arithmetic there must be a common difference d between consecutive terms.

a₂ - a₁ = - 6 - 3 = - 9

a₃ - a₂ = - 15 - (- 6) = - 15 + 6 = - 9

a₄ - a₃ = - 24 - (- 15) = - 24 + 15 = - 9

There is a common diffence between consecutive terms, thus the sequence is arithmetic.

Because the points have the same x-coordinate, the distance between the two points is a vertical distance. The distance from the ordered pair (−4,−3) to the x-axis is the absolute val
ue of it's y-coordinate. What is the absolute value of the y-coordinate in the ordered pair (−4,−3)?

Answers

Answer:

3

Step-by-step explanation:

The distance from a point to the x axis is the absolute value of its y-coordinate as it mentioned in the problem.

So take the y-coordinate, -3, and find the absolute value by making the number positive. Absolute values are always positive.

What is 3/8÷(−5/12)?
A.) −32/5
B.) −9/10
C.) −10/9
D.) −5/32

Answers

Answer:

B

Step-by-step explanation:

Answer: B
Explanation: Because 3/8 divide -5/12 goes to 3/8 times -12/-5 which then leads to 36/-40. Divide by 4. Which would then equal to -9/10.

I hope this helps

Imagine the center of the singapore flyer is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Write an equation of a circle for your Ferris wheel, and sketch an image of what your Ferris wheel would look like on the grid. Now graph a circle that is similar to the Ferris Wheel. Discuss the transformations needed to show that both circles on your graph are similar

Answers

The equation of the Ferris wheel is x² + y² = 25, and the transformation that shows that the circles are similar is the dilation transformation

How to determine the equation of the Ferris wheel?

From the question, we have the following parameters:

Center (a,b) = (0,0)Radius, r = 5

The equation of a circle is represented as:

(x - a)² + (y - b)² = r²

So, we have:

(x - 0)² + (y - 0)² = 5²

Evaluate

x² + y² = 25

Hence, the equation of the Ferris wheel is x² + y² = 25

See attachment for the image of the Ferris wheel

Transformation to a similar circle

Assume that the similar circle has the following parameters:

Center (a,b) = (0,0)Radius, r = 10

The equation of the circle would be:

(x - 0)² + (y - 0)² = 10²

Evaluate

x² + y² = 100

Since both circles have the same center, the transformation that shows that they are similar is the dilation transformation

Read more about circle equations at:

https://brainly.com/question/1559324

Choose the correct answer in each number.

1. It is the sum of all areas of lateral faces
and bases of solid figure.
A. Base area B. Lateral area C. Surface area D. None of the above

2. A flat pattern that you can fold to form a solid figure is called a/an _____.
A. Area B. Edge C. Face D. Net

3. The surface area of a cube is _____ times the area of its face.
A. Three B. Four C. Five D. Six

4. In a cylinder, the edge or length of the lateral surface is equal to _____ of its base.
A. Circumference B. Perimeter C. Radius D. All of the above

5. The lateral surface of a cylinder when it is unrolled will be _____
A. Rectangle B. Trapezoid C. Triangle D. All of the above

6. The solid figure that has surface area equivalent to for times the areas of circles of the same radii is _____.
A. Cube B. Cone C. Tetrahedron D. Sphere

7. To get the lateral area of a cone, we use the formula _____.
A. L.A.=πr2 B. L.A.=πrs C. L.A.=πrh D. L.A.=rh

8. The sum of the area of the square base and four triangular lateral faces is the surface area of _____.
A. Cube B. Rectangular prism C. Pyramid D. Cone

9. The unit for surface area is _____.
A. Cubic unit B. Linear unit C. Square unit D. Weight unit

10. A cone has a radius of 5 cm and slant height of 7.1 cm. What is the unit of measure appreciate for its surface area?
A. Square milimiter (mm2) B. Square centimeter (cm2) C. Square decimeter (dm2) D. Square meter (m2)​

Answers

Answer:

A

B

A

C

D

C

A

B

B

D

Step-by-step explanation:

help please, I need it fast

Answers

Answer:

(d) 1 / 2^8

this is the answer

both equations answers are kind of same, so (d) is the answer for your question

if this helped you please brainliest?

Answer:

A

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{2^{-3} }{2^{-5} }[/tex] = [tex]2^{-3-(-5)}[/tex] = [tex]2^{(-3+5)}[/tex] = 2² → A

When number is multiplied by 4 subtracting from 68, the result obtained is the same as three times the sum of the number and 4 find the number

Answers

Answer:

Let the no.be X

when multiplied by 4 = 4X

68-4X=3(X+4)

68-4X=3X+12

collecting like terms together,

7X=56

therefore; X=8

hence ,the number is 8.

Please answer quickly Attachment down below

Answers

Answer:

He needs to find the area of each lateral face plus the area of the base. The total surface area is 84.

Step-by-step explanation:

area of a triangle= b×h×1/2

therefore area of each triangle(lateral face)= 6×4×1/2= 12

12×4 because there are 4 triangles=48

then the area of the base= 6×6= 36

total surface area= 36+ 48=84

Need help graphing!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

plot the points

0,0

1,3

2,6

3,9

if anything else is needed inform me.

On a hike you climbed to an altitude of 125 feet above sea level. Base camp is located at 32 feet below sea level. How far did you climb from base?

Answers

Answer:

32

Step-by-step explanation:

Which is a factor of both terms of the expression 6f−12?


Answers

Answer:

6(f-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you solve the highest common  factor first, then you can look for other factors.

Solution

6 = 2 * 3

12 = 2*2*3

The highest common factor is one 2 and one 3 making 6.

Use the distributive property to show what the 2 factors look like when the common factor is taken out.

6( f - 2)

Other factors.

You could take out just 1 factor like 2 or 3

2(3f - 6)

3(2f - 4)

Answer

I would submit 6(f - 2)

Please help, will give brainliest

Answers

Answer:

question5=B that is the answer

Hi can someone plss help me with these 2 questions. Im really struggling with them.

Answers

Trees are important to one's health as they produce oxygen and reduce climate change. Also, bees pollinate our crops leading to more crop production and increase in revenue.

What is health?

It should be noted that health simply means the state of being free from illness or diseases.

In this case, trees are important for one's health as they help in the production of oxygen which are needed by human beings. Bees are also important for the generation of higher profits though the pollination of crops which leads to increase in crop production.

Learn more about health on:

https://brainly.com/question/5496881

Determine algebraically whether the function is even, odd, or neither even nor odd. f(x) = x^2

Answers

Answer:

The function is even

good luck

12,-24, 48, -96,
determine the next term for each sequence

Answers

So basically, 12 times -2 gives us -24, and 48 times -2 gives us -96, so to find the next numbers would be the number times -2, I think a possible number for this could be 192, followed by -384, but that’s just a wild guess.

It is given that the volume of a size 5 football is larger than that of a size 4 football by 72.8%.find the ratio of the radius of the size 5 football to that of the size 4 football.​

Answers

Answer:

6/5

Step-by-step explanation:

Let size 4 football radius = x,

and size 5 football radius = y,

Volume of size 5 = Volume of size 4 × (1 + 0.728)

Using the sphere volume formula,

V = (4/3)πr³

(4/3)πy³ = (4/3)πx³ × (1.728)

= 1.728x³

y = ³1.728 x

y/x = 6/5

Therefore, ratio of the radius of the size 5 football to that of the size 4 football is 6/5

Answer:

6/5

Step-by-step explanation:

find the perimeter of polygon

Answers

Answer:

22

Step-by-step explanation:

4+7+4+7=22


select all the expressions that are equivalent to 16^5/2

Answers

Answer:

A, C, E

Step-by-step explanation:

[tex] 16^{\frac{5}{2}} = 16^{\frac{1}{2} \times 5} = (\sqrt{16})^5 = \sqrt{16^5} = 1024 [/tex]

A. 4^5 = 1024   Yes

B. 8^5    No

C. 4^5    Yes

D. [tex] 16^{\frac{2}{5}} [/tex]    No

E. [tex] 16^{2 + \frac{1}{2}} = 16^{\frac{5}{2}} [/tex]   Yes

F. [tex] 16^{\frac{11}{2}} [/tex]   No

Find the length of the third side. If necessary, round to the nearest tenth

Answers

Answer:

9.21954445729

Step-by-step explanation:

A^2 + B^2 = C^2

7^2 = 6^2 = 85

The square root of 85 is...

9.21954445729

pythagorean theorem will solve this.

6^2+7^2
36+49
85=x^2
x=9.2

Find the approximate length of C (WILL CHOOSE BRAINLIEST)

Answers

Answer:

c approx= 3.46

Step-by-step explanation:

30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)

The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. In your question we know the long leg is 3.

3÷ sqroot3 = sqroot3

The short leg is sqroot3. The hypotenuse is double that, 2sqroot3.

c = 2sqroot3 is the exact value.

c ~= 3.46

Solve this equation, 2.5y = 13.75 Explain pleaseeeee
I'll give 25 points i'm desperate...

Answers

Answer:

5.5

Step-by-step explanation:

13.75 divided by 2.5 = 5.5

What is the slope of a line that goes through the points (3, 7) and (8, 11)

Question 4 options:

11/7

5/4

−8/3

4/5

Answers

Answer:

5/4

Step-by-step explanation:

Since the formula of finding the slope is y2-y1/x2-x1, you plug ithe numbers into the equation which is 8-3/11-7 which equals 5/4.

HELP I NEED TO TURN IN TOMORROW

ken says that 9138 rounded to the nearest thousand is 9,100 because 3 is less than 5

what might be Ken's misunderstanding about rounding _________?
help ken correct his misunderstanding ______________________________?

Answers

Answer:

Ken's misunderstanding is that you have to round starting from the 1st number that is behind what your rounding to. In this case Ken needs to start from 1 and round instead of starting from 3. So  you would round the 9,000 by looking at the 1 and seeing if you should round up or down. You want to round down because 1 is less than 5. If Ken rounds from 1 the real answer should be 9,000

Step-by-step explanation:

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