PLEASE HELP! 20 POINTS 1) A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the function H(t)=−4.9t2+25t+2. What is the height of the ball at each second from 0 to 5? (I'll put a picture of the graph.) 2) Which expression could represent the height of a soccer ball as it is in the air after being kicked? (This is part 2 to question 1) A. −16t+9 B. −16t2+4t3 C. 9t2+25t D. −16t2+25t+1

Answers

Answer 1

Answer:

1) The height of the ball from 0 to 5  seconds are;

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2)  The correct option is;

D. -16·t² + 25·t + 1

Step-by-step explanation:

1) The equation of motion of the ball is given as follows;

H(t) = -4.9·t² + 25·t + 2

The height of the ball from 0 to 5 seconds are;

H(0) = -4.9×(0)² + 25×(0) + 2 = 2

H(1) = -4.9×(1)² + 25×(1) + 2 = 22.1

H(2) = -4.9×(2)² + 25×(2) + 2 = 32.4

H(3) = -4.9×(3)² + 25×(3) + 2 = 32.9

H(4) = -4.9×(4)² + 25×(4) + 2 = 23.6

H(5) = -4.9×(5)² + 25×(5) + 2 = 4.5

Therefore, we have;

The height of the ball are

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2) Given that the equation of the ball is that of a projectile motion, such as follows;

h = h₀ + v₀·sin(θ₀)·t - 1/2·g·t² which is equivalent to h = -1/2·g·t²+ h₀+v₀·sin(θ₀)·t

it is best represented by the quadratic equation of an upside down parabola which is option D. -16·t² + 25·t + 1


Related Questions

Order the following from LEAST to GREATEST: 26, 6.25, 4.7, 16​

Answers

Answer:

4.7 , 6.25 , 16 , 26

Answer:

From least to greatest

4.7

6.25

16

26

I need help with this plz.

Answers

Move each point 3 spaces to the right and connect the dots
Answers:T ' = (3,0)Q ' = (1, 0)M ' = (0,2)Y ' = (0,3)

========================================================

Explanation:

T = (0,0) moves to T ' = (3,0) since we shift 3 units to the right. We add 3 to the x coordinate. The y coordinate does not change since we're not shifting up or down.

Q = (-2,0) moves to Q ' = (1,0) after applying the same rule we did to point T.

M = (-3,2) moves to M ' = (0,2)

Y = (-3,3) moves to Y ' = (0,3)

See the diagram below

Simplyfy the expression 4x+(15x+y) -11y​

Answers

Answer:

(64x -11)/y

Step-by-step explanation:

Multiply 4x into the parenthesis.

60x + 4xy -11y

Divide by y.

(60x + 4x -11)/y

(64x -11)/y

Steps to solve:

4x + (15x + y) - 11y​

~Remove parenthesis and combine like terms

4x + 15x + y - 11y​

19x - 10y

Best of Luck!

Which table has a constant of proportionality between y and x of 0.9? someone plz answer if i dont get this i wont be able to get a phone no joke plz help okie ty byee aaaa :)

Answers

Answer:

B

Step-by-step explanation:

A rectangular flour canister has dimensions of 512 inches by 4 inches by 10 inches. A smaller sugar canister has dimensions of 312 inches by 3 inches by 8 inches. How much smaller is the volume of the sugar canister than the flour canister?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the value of the expression below when y=8y and z=8z? 10y-3z

Answers

Answer:

80y-24z

Step-by-step explanation:

Jemima bought 150 oranges at ¢12 and sold them at 6 for 30gp find the profit or loss​

Answers

Answer:

The loss is ¢ 4.50

Step-by-step explanation:

To calculate either the profit or loss we must first find the cost price and the selling price

For the cost price

She bought 150 oranges at ¢12

Cost price = ¢ 12.00

For the selling price

She sold 6 at 30 Gp that's ¢ 0.30

If she sold 6 at ¢ 0.30

Then 150 will be 150× 0.3/ 6

Selling price = ¢ 7.50

Since the cost price is higher than the selling price she made a loss

Loss = Cost price - Selling price

Loss = ¢ 12 - ¢ 7.50

Loss = ¢ 4.50

Hope this helps you

You invest 5000 dollars in an account at 1.6% interest is compounded annually (once a year) a) write an equation that shows the amount of money you have after x years b) How much money would you have after 15 years

Answers

Answer:

a. P= 5000( 1.016)^x

b. $ 6344.18

Step-by-step explanation:

The equation for finding the compound interest annually is

P = P_1 ( 1 +r)^t

Here

P = the amount after the interest has been added or the new balance

P_1= the principal amount

r= rate at which interest is charged

t= time in years

So we have

P = the new balance

P_1= the principal amount= $ 5000

r= rate at which interest is charged= 1.6 %

t= time in years= x

Putting the values in the above equation

P = P_1 ( 1 +r)^t

P = 5000 ( 1+ 1.6/100) ^x

P= 5000( 1.016)^x

b) When t= 15

Again

Putting the values in the above equation

P = P_1 ( 1 +r)^t

P = 5000 ( 1+ 1.6/100)^15

P = 5000( 1.26883637) = 6344.18185= $ 6344.18

I need help I have to indicate how many terms it contains then copy and simplify each expression by combining like terms

Answers

Answer:

b) −3y2−2x+1

d) −4xy+4y2−y−10

Step-by-step explanation:

b) -4x + y2 - 9 + 10 - x + 3x - 4y2

(i have just underlined, italic and made it bold to show the like terms)

-4x - x + 3x = -2x

y2 - 4y2 = -3y2

-9 + 10 = 1

-2x - 3y2 + 1

d) 0 - 20 - 5xy + 4y2 + 10 - y + xy

(i have just underlined, italic and made it bold to show the like terms, however the '-y' and '4y2' have no like terms)

0 - 20 + 10 = - 10

-5xy + xy = - 4xy

-10-4xy+4y2-y

LOTS OF POINTS - SIMPLE MATH

Match the property name with the appropriate equation.


10. Opposite of a Difference......................A. −[(−r) + 2p] = −(−r) − 2p


11. Opposite of a Sum.....................................B. 16d − (3d + 2)(0) = 16d − 0


12. Opposite of an Opposite.........................C. 5(2 − x) = 10 − 5x


13. Multiplication by 0......................................D. −(4r + 3s) + t = (−1)(4r + 3s) + t


14. Multiplication by –1.....................................E. −(8 − 3m) = 3m − 8


15. Distributive Property...................................F. −[−(9 − 2w)] = 9 − 2w

Answers

Answer:

[tex]10. \text{Opposite of a Difference} \implies \text{E. } -(8 -3m) = 3m - 8[/tex]

[tex]11. \text{Opposite of a Sum} \implies \text{A. } -[(-r) + 2p] = -(-r) -2p[/tex]

[tex]12. \text{Opposite of an Opposite} \implies \text{F. }-[-(9 - 2w)] = 9 - 2w[/tex]

[tex]13. \text{Multiplication by 0} \implies \text{B. }16d -(3d + 2)(0) = 16d - 0 = 16d[/tex]

[tex]\boxed{\text{The product of two numbers is equal to 0} \implies 0 \cdot a = 0}[/tex]

[tex]14. \text{Multiplication by -1} \implies \text{D. } -(4r + 3s) + t = (-1)(4r + 3s) + t[/tex]

[tex]15. \text{Distributive Property} \implies \text{C. } 5(2-x) = 10-5x[/tex]

= 2 - 4
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Answers

Answer:

Please find attached the required inverse of a function chart

Step-by-step explanation:

The inverse of a function is found by reversing the operations of the  function

The inverse of the function f(x) = 2·x - 4 is found as follows;

x = 2·x - 4

x + 4 = 2·x

x = (x + 4)/2 = x/2 + 2

Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2

The inverse function is plotted by generating data points as follows;

[tex]{}[/tex]x         [tex]{}[/tex]          f(x)

0                2

1                  2.5

2                 3

3                  3.5

4                   4

5                   4.5

6                   5

7                   5.5

8                   6

9                   6.5

10                  7

11 [tex]{}[/tex]                   7.5

12[tex]{}[/tex]                    8

13                 8.5

14                  9

15                  9.5

16               10

Three pizzas are being split amongst friends. Everyone will get 1/4 of a pizza. How many friends can eat pizza? Help ASAP, ill give brainlist to first answer

Answers

Answer:

12 friends

Step-by-step explanation:

If we have 3 pizzas, each cut into slices of [tex]\frac{1}{4}[/tex], then we have a total of [tex]3 \div \frac{1}{4} = 3\cdot\frac{4}{1} = 12[/tex] slices.

This means that 12 friends can share the 3 pizzas.

Hope this helped!

Answer:

12 people

Step-by-step explanation:

If everyone is getting 1/4 of the pizza then that means there are 4 slices in each pizza

Solve equation: 4(3D- 1)=12d

Answers

Answer:

  no solution

Step-by-step explanation:

Divide by 4:

  3d -1 = 3d

Subtract 3d:

  -1 = 0 . . . . . . FALSE

There is no value of d that will make this be true. The equation has NO SOLUTION.

2 + (x + y) = (2 + x) + y is an example of which algebraic property?

Answers

Answer:

Associative Property of Addition

Step-by-step explanation:

The associative property of addition states that if all the operations are addition, then one can group and add them in whatever order they prefer.

Hope this helps!  Tell me if I'm wrong!

Ali is making pottery. He uses 38 of a 2-pound bag of clay to make a set of bowls. Each set has 4 bowls. Drag one expression next to each question. The correct expression for each row is a way to answer that question.

Answers

Answer:

[tex]\frac{3}{8}[/tex]

[tex]2\times \frac{3}{8} = \frac{3}{4}[/tex]

Step-by-step explanation:

According to the given scenario given that

if Ali uses [tex]\frac{3}{8}[/tex]  of 2 pounds of clay for a game of 4 bowls

[tex]\frac{3}{8} (2) = \frac{6}{8} = \frac{3}{4}[/tex]

here Ali will use the number of pounds of clay to create a game

[tex]2\times \frac{3}{8} = \frac{3}{4}[/tex]

Now, we need to compute the number of pounds of clay that should be used in every bowl, we need to divide the prior outcome by 4 which is

[tex]\frac{2\times \frac{3}{8}}{4}[/tex]

Consider N{A} = 4 and N{B} = 5. (a) What is the smallest number possible for N{A ∩ B}? (b) What is the largest number possible for N{A ∪ B}?

Answers

Answer:

(a) N{A∩B} = 0

(b) N{A∪B} = 9

Step-by-step explanation:

Union of two sets: This can be defined as the sum of all the elements of the two sets without writing one element twice. it is denoted by the symbol ∪

Intersection of two sets; This is the set of elements that appears in both sets. It is denoted by the symbol ∩

From the question above,

assuming there is no repetition element in both set,

(a) The smallest number possible for N{A∩B} = 0

(b) The largest number possible for N{A∪B} = 4+5 = 9.

For a 180° rotation about the origin, write the coordinates of each point in the table.

Answers

Answer:

Hey, you don't include any points, but I can give you the rule for an 180 degree rotation.

You just need to write the same points, but negative. So going from (x,y) to

(-x,-y).

As an example let's say you wanted to rotate (3,-4) 180 degrees about the origin. The the point after the rotation would be (-3,4).

Hope that helps!

Write a verbal sentence to represent the equation.
x+3/4=5

Answers

Answer:

[tex]\Large \boxed{\mathrm{The \ sum \ of \ a \ number \ and \ three \ quarters \ is \ five.}}[/tex]

Step-by-step explanation:

x + 3/4 = 5

x is the unknown number.

3/4 is added to the number.

The result is 5.

The verbal sentence to represent the equation would be:

The sum of a number and three quarters is five.

solve inequality 5x+1<=3x-17

Answers

Answer:

-9 >= x

Step-by-step explanation:

5x + 1 <= 3x - 17

add 17 to both sides- that will cancel the one on the right side. And on left side it would add to 18

5x + 18 <= 3x

then subtract 5x from both sides- that will cancel the one on left side. And on the right side ur left with negative 2x

18 <= -2x

divide both sides by negative 2... since dividing by -2 u have to slip the inequality sign.

-9 => x

hi

5x+1 ≤ 3x-17

5x-3x≤ -17 -1

2x≤ -18

x≤  -18/2

x≤ -9

solutions :  x ∈ ] -∞; -9]

Please solve, 1-8n-8= -7n-6n-12?​

Answers

Answer:

n = -1

Step-by-step explanation:

1 - 8n - 8 = -7n - 6n - 12

Simplify

-8n - 7 = -13n - 12

Add 7 to both sides

-8n = -13n - 5

Add 13n to both sides

5n = -5

Divide both sides by 5

n = -1

Answer:

n = 1

Step-by-step explanation:

1 - 8n - 8 = -7n - 6n - 12

-8n + 7n + 6n = -12 + 8 - 1

5n = -5

n = -5/5

n = -1

probe:

1 - 8*-1 - 8 = -7*-1 - 6*-1 - 12

1 + 8 - 8 = 7 + 6 - 12 = 1

how to slove -10 -1 need help

Answers

Answer:

-10 - 1 = x

Step-by-step explanation:

If you take -10 and subtract one, it makes the number go down lower because it's negative (example, 12 - 2 is -14)

find the area if each figure. round the nearest hundredth where neccessary.​

Answers

Answer:

351.48cm²

Step-by-step explanation:

Heron’s Formula

Find half the perimeter (30+30+26)/2=43

It’s the square root of each side subtracted from 43, multiplied together, times 43.

√(43-30)*(43-30)*(43-26)*43=√13*13*17*43=√=123539=351.481cm²

Area of triangle is, 351. 39 cm²

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

All the sides of triangles are,

⇒ 30 cm, 30 cm, and 26 cm

We know that;

Area of triangle = √ s (s - a) (s - b) (s - c)

Where, 's' is the semi perimeter of the triangle, and a, b and c are three sides of triangle.

Here, Sides are,

⇒ a = 30

⇒ b = 30

⇒ c = 26

Hence, We get;

⇒ s = (a + b + c) / 2

⇒ s = (30 + 30 + 26) / 2

⇒ s = 86 / 2

⇒ s = 43 cm

So, The area of triangle is,

⇒ Area of triangle = √ s (s - a) (s - b) (s - c)

⇒ Area of triangle = √ 43 (43 - 30) (43 - 30) (43 - 26)

⇒ Area of triangle = √ 43 × 13 × 13 × 17

⇒ Area of triangle = 13 √ 731

⇒ Area of triangle = 13 × 27.03

Area of triangle = 351. 39 cm²

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

Molly and Norachai are selling pies for a school fundraiser. Customers can buy blueberry pies and pumpkin pies. Molly sold 5 blueberry pies and 12 pumpkin pies for a total of $143. Norachai sold 10 blueberry pies and 8 pumpkin pies for a total of $142. Find the cost each of one blueberry pie and one pumpkin pie.

Answers

Answer:

Blueberry costs 9 dollars

Pumpkin costs 7 dollars

Step-by-step explanation:

Let "b" represent the price of a blueberry pie

Let "p" represent the price of a pumpkin pie

Step 1: Set equation

5b + 12p = 143 ----- 1

10b + 8p = 142 ----- 2

Step 2:  Isolate 1 for "b"

5b = 143 - 12p

[tex]b = \frac{143}{5}-\frac{12}{5}p[/tex]  ------- 3

Step 3: Substitute 3 into 2

[tex]10(\frac{143}{5}-\frac{12}{5} p )+8p=142\\286 - 24p + 8p = 142\\-24p + 8p = 142 - 286\\-16p = -144\\p = -\frac{144}{-16}\\ p = 9[/tex]

Step 4: Subsitute p = 9 into 1 for b

[tex]5p + 12(9) = 143\\5p + 108 = 143\\5p = 143 - 108\\5p = 35\\\frac{5p}{5}=\frac{35}{5}\\p = 7[/tex]

Therefore a pumpkin pie costs 7 dollars while a blueberry pie costs 9 dollars

How old am I if 400 reduced by 3 times my age is 241

Answers

Answer:

Step-by-step explanation:

5

The answer is 5. Hope this helped.

14 + 19 = 313
25 + 13 = 328
7 + 18 = 235
10 + 40 = ?

Answers

Answer:

540

Step-by-step explanation:

since that the first is 14+19 and they are just adding 4+9 which is 13 so, the last is just a 3, and 1+1 is 2, plus the 1 that we have from the 13, then, you just add 1 on the Middle.

With 25+13 also you add normally, just add a 2 on the middle. And With the 3rd one add a 3 on the middle. So, with the last one, you add a 4 too.

Can somebody please plot the linear relationship?

Answers

Answer:

First, we put a point on y-axis = 2

Next, we go 2 spaces down and 1 space right

Then draw a line attaching the two points

Answer:

we put a point on y-axis = 2

we go 2 spaces down and 1 space right

Then draw a line attaching the two points

Giles is searching for a sock and he discovers he has 10 socks for every 5 pair of shoes.If he has 20 socks, how many pairs of shoes does he have

Answers

Answer:

10

Step-by-step explanation:

Answer:

10 shoes

Step-by-step explanation:

Step 1: State what is known

Giles has 10 socks for every 5 pairs of shoes

He has 20 socks

Step 2: Set up the ratio

Let 'x' represent how much shoes Giles has

10 socks : 5 shoes

20 socks : x shoes

Step 3: Convert ratio into fraction

[tex]\frac{Socks}{Shoes}[/tex]

10 socks : 5 shoes = [tex]\frac{10}{5}[/tex]

20 socks : x shoes = [tex]\frac{20}{x}[/tex]

Step 4: Set ratio equal to each other and solve

[tex]\frac{10}{5}=\frac{20}{x}\\ 10x = 100\\\frac{10x}{10}=\frac{100}{10}\\x = 10[/tex]

Therefore Giles has 10 shoes when he has 20 socks

It takes a bus 6 hours to take a trip. The train takes only 4 hours to make the same trip. The train travels at a rate of speed that is 25 mph more than the speed of the bus. What is the rate of the bus and the rate of the train?

Answers

Answer:

See answer is Explanation

Step-by-step explanation:

4 divided by 25 is 0.16

6 divided by 25 is 0.24

6 x 4 = 24

4 x 25 = 100

6 x 25 = 150

For the real valued functions f(x) = x-4/x-5 and g(x) = 4x+17, find the composition fog and specify its domain using interval notation.
(F o g)(x)=
Domain of f o g:

Answers

Answer:

(f o g)(x) = [tex]\frac{4x+13}{4x+12}[/tex]

Domain : (-∞, -3) ∪ (-3, ∞)

Step-by-step explanation:

Given : f(x) = [tex]\frac{x-4}{x-5}[/tex]

            g(x) = 4x + 17

We have to find the value of (f o g)(x).

Since (f o g)(x) = f[g(x)]

                        = [tex]\frac{(4x+17)-4}{(4x+17)-5}[/tex]

                        = [tex]\frac{4x+13}{4x+12}[/tex]

For the Domain of the function (f o g)(x),

Given function is defined for (4x + 12) ≠ 0

4x ≠ -12

x ≠ -3

Therefore, Domain of the function will be : (-∞, -3) ∪ (-3, ∞)                    

Use 5 fives, parentheses, and 4 operations to make 0.

Answers

Answer:

(5÷5+5)x(5-5)=0

Step-by-step explanation:

(5÷5+5)x(5-5)=0

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