PLEASE HELP!!!! I’m about to rip my hair out over this.

1. A ball is thrown into the air at an initial velocity of 18 meters per second from an initial height of 10 meters. The equation that models the path of the ball is given by h=-4.9t^2+18t+10. When does the ball reach its Maximum height?

2. A ball is thrown into the air at an initial velocity of 18 meters per second from an initial height of 10 meters. The equation that models the path of the ball is given by h=-4.9t^2+18t+10. When does the ball hit the ground?

3. A ball is thrown into the air at an initial velocity of 18 meters per second from an initial height of 10 meters. The equation that models the path of the ball is given by h=-4.9t^2+18t+10. How high is the ball at 3 seconds?

4. Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by h=-4.9t^2+12, where t is seconds. At what height will she be after 1 second?

I absolutely hate math with all of my heart.

Answers

Answer 1

Step-by-step explanation:

1. The equation graph is a parabola, so the maximum height will be the vertex of the parabola. You can find the vertex coordinate t using the formula:

t = -b/2a

t = -18/2•(-4.9)

t = -18/-9.8

t = 1.84 seconds

2. The height of the ground is 0, so the balls hit the ground when the equation result is 0:

0 = -4.9t²+18t+10

Now you solve it using Bhaskara:

Δ = b² -4ac

Δ = 18² -4•(-4.9)•10

Δ = 520

t = (-b ±√Δ)/2a

t = (-18 ± √520)/2•(-4.9)

t1 = (-18 - 20.8)/-9.8

t1 = 3.96 seconds

t2 = (-18 +20.8)/-9.8

t2 = -0.28

Doesn't exist negative time, so we pick the first value found, t = 3.96 seconds

3. Now you just need to put 3 in place of t to find the result:

h = -4.9•3² +18•3 +10

h = -4.9•9 + 54 + 10

h = -44.1 + 64

h = 19.9 meters

4. You just need to put 1 in place of t to find the height:

h = -4.9•1²+12

h = -4.9+12

h = 7.1 meters


Related Questions

plsssssssssss helppppppppp i want it right now pls​

Answers

Answer:

hope this helps you

have a great day

Page Section B 1 A={odd number between 6 andon and 8 § =) by B=&multiples of 5 less than too 100g e) G=& multiples of 5 greater than 100odd number between Shikshan ​

Answers

Answer:

write your question properly

Step-by-step explanation:

help me in this plz....

Answers

Answer:

70. 8x⁴

71. 3n - 10

72. a/5 + 12

Step-by-step explanation:

70. a number "x" raised to the fourth = x⁴

Product of 8 and x⁴ = 8 × x⁴

= 8x⁴

71. 3 times a number "n" = 3 × n = 3n

3n decreased by 10 = 3n - 10

72. Quotient of a number "a" and 5 = a/5

12 more than a/5 = a/5 + 12

Pls help with this question :)

Answers

Answer: x=20
Angles a and b are congruent by alternate interior angles. So given that: First you would set the equations equal to eachother: 6x+5=4x+45 and solve for x; to get x=20

Answer:

X=20

a< = 125

Step-by-step explanation:

The position of a particle moving along a coordinate axis is given by s(t) = t^2 - 5t + 1. Find the speed ,velocity and acceleration

Answers

Answer:

speed is 2t - 5

velocity is 2t - 5

a = 2 m/s²

Step-by-step explanation:

Given the position of a particle expressed as:

s(t) = t^2 - 5t + 1

speed v = ds/dt

ds/dt = 2t - 5

Hence the speed is 2t - 5

velocity can also  be expressed as the speed, hence, velocity is 2t - 5

Acceleration is the change in velocity with respect to time. Hence;

a = dv/dt

a = 2 m/s²

y=x+5 y=-2x-4 I need help with this problem will you help me?

Answers

Answer:

x = - 3, y = 2

Step-by-step explanation:

Given the 2 equations

y = x + 5 → (1)

y = - 2x - 4 → (2)

Substitute y = x + 5 into (2)

x + 5 = - 2x - 4 ( add 2x to both sides )

3x + 5 = - 4 ( subtract 5 from both sides )

3x = - 9 ( divide both sides by 3 )

x = - 3

Substitute x = - 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 3 + 5 = 2

George has opened a new store and he is monitoring its success closely. He has found that this store’s revenue each month can be modeled by r(x)=x2+6x+10 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by c(x)=x2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars. What does (r−c)(4) mean about George's new store?

Answers

Answer:

(r - c)(4), is the profit made in George's new store after 4 months which is $4,500

Step-by-step explanation:

The given parameters for George's store are;

The amount of revenue George makes each month, r(x) = x² + 6·x + 10

The expenses each month, c(x) = x² - 4·x + 5

Where;

x = The number of months the store has opened the doors

r(x) and c(x) are measured in hundreds of dollars

The amount of profit from the store, P = Revenue - Expenses

Therefore, the profit made on a given month, x, is P(x), which is found as follows;

P(x) = r(x) - c(x) = (r - c)(x)

Therefore, (r - c)(4) = P(4), is the profit realized from George's new store, after 4 months

(r - c)(4) = 4² + 6·4 + 10 - (4² - 4·4 + 5) = 45

Answer:

The new store will have a profit of $4500 after its fourth month in business.

Step-by-step explanation:

I took the quiz

Please hurry I will mark you brainliest
What is the equation in standard form for the line with slope 3 and y-intercept -4?

Answers

Answer: -3x+y=-4

Step-by-step explanation:

Standard form is Ax+By=C. In y=Mx+b form, it would be y=3x-4. To put it into standard form you subtract 3x from both sides. So then you have -3x+y=-4.

See the photo for details and answer.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

plz help me it is very imp for me​ plz I beg you..


Answers

Answer:

Answer is derived according to the procedure of calculating LCM of any two numbers

Step-by-step explanation:

If you have any other questions

ask in comments

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]x^2-y^2-1-2y \\\\x^2-(y^2+2y+1)\\\\x^2-(y+1)^2\\\\(x)^2-(y+1)^2\\\\(x+y+1)(x-y-1)[/tex]

[tex]\\\\[/tex]

[tex] y^2-1-x^2-2x\\\\y^2-(x^2+2x+1)\\\\y^2-(x+1)^2\\\\(y)^2-(x+1)^2\\\\(y+x+1)(y-x-1) [/tex]

According to the question,

we have to find the LCM

LCM=[tex]\sf{(x+y+1)(x-y-1)(y-x-1) }[/tex]

Please I need help someone answer asap

Answers

Answer:

C -2,-1

Step-by-step explanation:

I pulled up a graph of a circle. -2, -1 is outside the circle

Given g (n) = 3n + 2, f (n) = 2n^2 + 5
Find g (f (2))

a)8
b)41
c)133
d)21

Answers

Answer:

g(f(2)) = 41

b)41

Step-by-step explanation:

g(f(2)) = 41

f(2)= 2(2²) + 5 = 13

So g(f(2)) → g(n = 13)

g(n = 13)→ 3(13) + 2 = 41

A photo printer is on sale for $195.50. The regular price is $230. What is the percent of the discount on the photo
printer?

Answers

195.5/230x100 gives u an answer of 84.8695652% which rounded can be 85% on so the discount is 25% off
The answer is 425.5 the regular price

help me out (geometry)

Answers

Answer:

Step-by-step explanation:

d and b meet at a 90 degree angle ( as shown by the box)

The lines are perpendicular (⊥)

The ratio of grapes in a fruit salad to people it will serve is 13/3. How many people will be served if Deb is using 30 grapes?

Answers

Answer:

6 + 12/13, or 90/13 people will be served

Step-by-step explanation:

Ratios stay the same, no matter the quantity.

Given this, we can say that (13 grapes / 3 people) = (30 grapes / x amount of people)

13/3 = 30 / x

multiply both sides by 3 to remove a denominator

13 = 30 * 3 /x

multiply both sides by x to remove the other denonimator

13 * x = 30 * 3

13 * x = 90

divide both sides by 13 to isolate the x

x = 90/13 = 6 + 12/13 ≈6.92 people

What is the common difference of the arithmetic sequence-20,-16,-12,-18

Answers

Answer:

common difference = 4

Step-by-step explanation:

common difference is the difference between the successive term and its preceding term.

let's take the successive term of -20 that is - 16

common difference (d) = successive term - preceeding term

= -16 -(-20)

= -16 + 20

= 4

if we take the successive term of -16 that is -12

we'll get the same common difference.

d = -12 -(-16)

d = -12 + 16

d = 4

this means that the common difference for an AP remains constant.

Please help me ASAP

Answers

Answer:

4

Step-by-step explanation:

6(6+x) = 5(5+x+3)

36+6x = 25+5x+15

6x-5x=40-36

x=4

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

See this attachment

x=4

Help Please Now!!!
Find the volume Of The Rectangle Prism

Answers

Answer:

180m cubed

Step-by-step explanation:

Multiply the length, width, and height together: 6×6×5=180

Answer:

Formula of a rectangular prism:

L x W x H

Now we place in the numbers and solve:

5 x 6 x 6 = 180 m3


Choose the correct description of the graph of the inequality X - 3 greater than or equal to 25

A. Open circle on 8, shading to the left
B. Closed circle on 8, shading to the left.
C. Open circle on 8, shading to the right.
D. Closed circle on 8, shading to the right.

I’m pretty sure it’s D

Answers

Answer:

D. Closed circle on 8, shading to the right.

Solve EFD. Round the answers to the nearest hundredth.
A. m F ≈ 26, m D ≈ 64.01, FD = 7,921
B. m F ≈ 26, m D ≈ 64.01, FD = 89
C. m F ≈ 64.01, m D ≈ 26, FD = 89
D. m F ≈ 64.01, m D ≈ 26, FD = 7,921

Answers

Answer:

Option B

<F = 26°

<D = 64.01°

FD = 89

Answered by GAUTHMATH

For right triangle EFD,  m ∠F ≈ 26°, m ∠D ≈ 64.01° and FD = 89

The correct answer is an option (B)

What is hypotenuse?

It is the longest side of the right triangle.

What is Pythagoras theorem?

For a right triangle,

[tex]a^{2}+ b^{2} = c^{2}[/tex], where c is hypotenuse and a, b area other two sides of the right triangle

For given example,

We have been given a right triangle EFD with hypotenuse FD.

Also, EF = 80, ED = 39

Using the Pythagoras theorem,

[tex]\Rightarrow FD^{2}= EF^{2} + ED^{2}\\\\ \Rightarrow FD^{2}= 80^{2} + 39^{2}\\\\ \Rightarrow FD^2 = 6400 + 1521\\\\ \Rightarrow FD^2 = 7921\\\\\Rightarrow FD = 89[/tex]

Consider, sin(F)

[tex]\Rightarrow sin(F)=\frac{ED}{FD} \\\\\Rightarrow sin(F)=\frac{39}{89}\\\\ \Rightarrow sin(F)=0.4382\\\\\Rightarrow \angle F=sin^{-1}(0.4382)\\\\\Rightarrow \angle F=25.98^{\circ}\\\\\Rightarrow \angle F\approx 26^{\circ}[/tex]

Now, consider sin(D)

[tex]\Rightarrow sin(D)=\frac{FE}{FD}\\\\ \Rightarrow sin(D)=\frac{80}{89}\\\\ \Rightarrow \angle D = sin^{-1}(0.8988)\\\\\Rightarrow \angle D = 64.009^{\circ}\\\\\Rightarrow \angle D \approx 64.01^{\circ}[/tex]

Therefore, for right triangle EFD,  m ∠F ≈ 26°, m ∠D ≈ 64.01° and FD = 89

The correct answer is an option (B)

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

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Si un proyectil asciende verticalmente, y después de 3 segundos alcanza su altura máxima, calcule la velocidad que lleva a la mitad de su trayectoria descendente

Answers

Answer:

The speed is 20.8  m/s

Step-by-step explanation:

If a projectile ascends vertically, and after 3 seconds it reaches its maximum height, calculate the velocity that it carries to the middle of its downward trajectory

Let the maximum height is h and initial velocity is u.

From first equation of motion

v = u + at

0 = u - g x 3

u = 3 g.....(1)

Use third equation of motion

[tex]v^2 = u^2 - 2 gh \\\\0 = 9 g^2 - 2 gh \\\\h = 4.5 g[/tex]

Let the speed at half the height is v'.

[tex]v^2 = u^2 + 2 gh \\\\v'^2 = 0 + 2 g\times 2.25 g\\\\v'^2 = 4.5\times 9.8\times9.8\\\\v' = 20.8 m/s[/tex]

i need the answer for this question

Answers

lolllll okkkkkk ohhhh hehehehe

Let j=+5 - 5+ |-5 x 1/5
What is the value of+J?

Answers

Answer:

j=|x|

Step-by-step explanation:

Now use GeoGebra to measure the length of each side of quadrilateral ABCD, and use those lengths to calculate the perimeter of the quadrilateral. Do you get the same result that you obtained in part E? Take a screenshot of your work, and paste it below.

Answers

Answer:

Step-by-step explanation:

Find the height of the cylinder.

13 cm width
17 cm diagonally length
how much is the hight?

Answers

Answer:

The height is 0.014

Step-by-step explanation:

Use the formula, V=πr2h

h=V

πr2=13

π·172≈0.014

find two consecutive whole number such that five times the greater number makes 59 hint let the number be x and x + 1​

Answers

Answer:

Step-by-step explanation:

Let the smaller number = x

Let the larger number = x + 1

5*(x + 1) = 59

You can do this. The problem says that when the larger number is multiplied by 5, you get 59. You are also told that the numbers are whole numbers. 59 divided by 5 leaves a remainder which is not a whole number.

5x2 + 6x – 8= –7 to the nearest tenth

Answers

Answer:It's unsolvableStep-by-step explanation: Proof- 5x2=10 = 10+6x-8 = 2+-6x =-3-3 does not equal -7

Lighthouse B is 10 miles west of lighthouse A. A boat leaves A and sails 5miles. At this​ time, it is sighted from B. If the bearing of the boat from B is N65​E, how far from B is the​ boat?

Answers

 The distance of B from the boat is 8.99 miles

To calculate  the distance of the the boat from B we use cosine rule.

What is cosine rule?

Cosine rule is a formula use to find one side of a triangle if two sides and an angle is given.

Cosine rule formula can be stated as

R² = P²+Q²-2PQcos∅.............. Equation 1

From the question,

⇒ Given:

Q = 5 mileP = 10 miles∅ = 65°

⇒ Substitute these values into equation 1 and solve for R

R² = 5²+10²-(2×5×10)cos65°R² = 125-(100×0.442)R² = 125-44.2R² = 80.8R = √(80.0)R = 8.99 miles

Hence, the distance of B from the boat is 8.99 miles.

Learn more about cosine rule here: https://brainly.com/question/23720007

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In a company of 35 employees, four-sevenths work in sales. How many of the employees work in sales ?

Answers

Answer:

20

Step-by-step explanation:

Multiply 4/7 with 35, this will get you 140/7, which simplifies to 20 employees

Please help you gonna help

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

The equation would be

[tex]\frac{1}{3} +\frac{1}{9} =total[/tex]

First, change the denominator to a common multiple.

The LCM (least common multiple) of 3 and 9 is 9.

[tex]\frac{3}{9} +\frac{1}{9} =total[/tex]

Add to solve.

[tex]\frac{4}{9}[/tex]

I hope this helps!

Answer:

4/9

Step-by-step explanation:

We need to add the amounts together

1/3 + 1/9

Getting a common denominator

1/3 *3/3   + 1/9

3/9 + 1/9

4/9

Jessica ate 7 /10 of her orange before lunch and 1/10 of her orange after lunch. How much of her orange did she eat?

Answers

Answer:

8/10

Step-by-step explanation:

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