A ball is thrown in the air from ground level. The height of the ball in meters at time t seconds is given by the function [tex]\sf h(t)=-4.9t^2+30t.[/tex]. At what times does the ball hit the ground? ( be sure to use proper units!)

please, show your work!
Thank you!

Answers

Answer 1

Answer:

t = 6.15 seconds

Step-by-step explanation:

A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.

-----------------

h(t) =-4.9t^2+35t+30

----

When the ball hits the ground its height is zero.

So, solve -4.9t^2+35t+30 = 0

Use the quadratic formula:

t = [-35 +- sqrt(35^2-4*-4.9*30)]/(2(-4.9))

----

t = [-35 +- sqrt(637)]/(-9.8)

---

To get a positive solution:

t = [-35-25.24]/(-9.8)

t = 6.15 seconds

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

Answer 2

Answer:

The ball hits the ground when h(t) (the height) is equal to 0.

0=-4.9t^2+30t

0=t(-4.9t+30)

t=0 and t=6.1224…

So, the ball hits the ground when it is thrown (0 seconds) and after about 6.1224 seconds.

:)


Related Questions

Thank you to anyone who can help!!

Answers

Answer:

Pentagon (the 5 sided shape) = 1

Cross-looking shape = 6

Star = 8

Square/Rectangle = 5

Hope this helps!

After solving the next three terms in
5120, 1280, 320, 80, …
How could you find the explicit rule?

Answers

a (n)=a1 × r^(n-1)

a1=5120

a2=1280

a3=320

a4=80

-->a2/a1=1280/5120=0.25

-->a3/a2=320/1280=0.25

-->a4/a3=80/320=0.25

ration(r) =0.25

a(n)=a1 × r^(n-1)

a (5)=5120×0.25^(5-1)

a (5)=5120 × 0.25 ^(4)

a (5) = 5120 × 0.00390625

a (5) = 20

HELP MEEEEEEEE PLEASE

Answers

Answer:

Option A (3/4)

Step-by-step explanation:

Please mark Brainliest

Answer:

THATS CORREC T

Step-by-step explanation:

CAUSE A IS THE RIGHT ONE THE REST BIS WRONG BUT IT CAN E CONFUSING

I will give you brainliest

Which equation represents the sentence?

The sum of 10 and a number is 3 times the number.


10 + n = 3n


10 + n = 3 + n


10 + 3n = n


10(n + 3) = n

Answers

Answer:

the first one

10+n = 3n

Step-by-step explanation:

n is the number

and 3n means 3*n

Answer:  the answer the first one 10+n=3n

Step-by-step explanation:

n is the number

and 3n means 3*n

Help me solve this -> g(x) = 2x + 3



g(7)

Answers

Answer:

17

Step-by-step explanation:

g(7) = 2(7) +3

substitution

(7,1) and (-5,1)
Find the slope of the line that passes through the 2 points.

Answers

☆Answer : (X1, Y1) = (7, 1) (X2, Y2) = (-5, 1)

m = (Y2 - Y1)/(X2 - X1)

m = (1 - 1)/(-5 - 7)

m = 0/(-12)

m = 0

find slope and y-intercept
5x+3y=-6

Answers

Answer:

[tex]m=-\frac53; q=-2[/tex]

Step-by-step explanation:

Let's bring the line in the classical [tex]y=mx+q[/tex] form

[tex]3y= -5x-6\\y=-\frac53 x -2[/tex]

At this point we have the two values [tex]-\frac53[/tex] for the slope and [tex]2[/tex] for the intercept

Someone help me pls!

You can buy 3 apples at Quick Mart for $1.17. You can buy five of the same apples at Shop & Save for $2.40

How much will you save per apple if you buy them at the cheaper store?

Answers

Answer:

You save $0.09 at Quick Mart for price per apple

Step-by-step explanation:

Quick mart = 1.17/3 = $0.39 per apple

Shop & Save = $0.48

$0.39 - $0.48 = $0.09

You save $0.09 per apple at Quick Mart

-Chetan K

i think 2.40$ or 3.40$ or some kind of money

Which one is not a function? And why not ?

Answers

Answer:

the selected answer/2

Step-by-step explanation:

not a function because the same y has 2 different x values

write a quadratic equation for the points (2,0) and (12,5). make sure to include the axis and five points used to graph the parabola

Answers

Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

The graph is sketched at the end of this answer.

The Factor Theorem states that a polynomial function with roots is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem:

The graph is a parabola, which means that the function is of the 2nd degree.One zero, with multiplicity 2, at [tex]x = 2[/tex], hence, [tex]x_1 = x_2 = 2[/tex].

Then:

[tex]f(x) = a(x - 2)(x - 2)[/tex]

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

[tex]5 = a(12^2 - 4(12) + 4)[/tex]

[tex]100a = 5[/tex]

[tex]a = \frac{5}{100}[/tex]

[tex]a = 0.05[/tex]

Hence, the parabola is:

[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

At the end of this answer, the graph with five points is sketched.

A similar problem is given at https://brainly.com/question/24380382

Help please I really don’t understand due in 4 days

Answers

Answer:

I will clear you.

Step-by-step explanation:

or,x/3-2<4

or,x/3<4+2

or,x<6/3

or,x<2

Answer:

x < 18

Step-by-step explanation:

You solve it like an equation.

First, isolate the x-value to one side by adding 2 to each side:

x/3 - 2 + 2 < 4 + 2

The twos on the left side cancel out:

x/3 < 6

Now multiply both sides by 3:

x/3 x 3 < 6 x 3

The threes on the left side cancel out, leaving you with the x-value:

x < 18

Hope this makes sense :)


Which graph represents the function f (x) = –| x - 3| + 1

Answers

Answer:

D

last one

Step-by-step explanation:

Find the value of x and y

Answers

Answer:

x=4

y=5

Step-by-step explanation:

because this lines are all parallel, so 17x-y equals to 180°-117°= 63, then you get 17x-y = 63

also, equally you can get the below one

6x+7y = (180°-121°)

6x+7y = 59.

put them together

17x-y=63 (1)

6x+7y =59 (2)

you can transform the (1) to y= -(63-17x)

then you get the second one

6x+7(-(63-17x))=59

then you get x

finally you get the result of x into any of the equation

you get y ultimately.

Determine if the table represents a linear function, quadratic function, or exponential function.

Answers

That would be linear because its going at a constant rate of change

Assume you invest $5,000 in an account paying 8% interest compounded annually. How much money will be in the account after 5 years?

Answers

Answer:

$7346.64

Step-by-step explanation:

Amount after 5years=P(1+r/100)^t

let A = amount after 5years

A=$5000(1+8/100)^5

A=$7346.64 to 2 decimal places

plz help I need answer asap! ​

Answers

Answer:

x=2.4

Step-by-step explanation:

for this one we find the scale factor you can pick any two similar points i picked 3 and 1.8 i did 1.8/3 and found the scale factor is .6 so x= ML or 4 * .6 (our scale factor) which gives x=2.4

Answer:

x=2.4

Step-by-step explanation:

This is simple! If you know how to find scale factor then then problem is a breeze.

Look at side JK and side PQ. To find the scale divide 3 by 1.8 This gives you 1.66666666667. We don’t want this long number but we can work with it :3

Now to find that missing side= x

4 / 1.66666666667= 2.4

x=2.4

( pssstt! This “/“ means division ;-)

hope this helped :D

express the following as decimal. 25/1000
20/50
3/50
2/3​

Answers

Answer:

[tex]\frac{25}{1000}[/tex] = 0.025

[tex]\frac{20}{50}[/tex] = 0.4

[tex]\frac{3}{50}[/tex] = 0.06

[tex]\frac{2}{3}[/tex] = 0.(66) or 0.66666666666666666

Consider the equation below.

-5n + 31 - 14n -

5–59 + 31 = –14n – 5

-

Select the equation that has the same solution.

-1 – 22n

20n – 9–1 – 22n = –20n - 9

0

1 = 0.75n + 3.251 = 0.75n + 3.25

In + 2 = −3+ min + 2 =

3 + 1

3 – 6n + 3n = – 3 + 4 – 4n3 – 6n + 3n = -3 + 4 – 4n

Answers

Answer:

-1 - 22m

Step-by-step explanation:

how many teaspoons are in 15 milliliters? 1 tsp = 5 mL

Answers

Answer:

The number of teaspoons in 15 ml is 3 tsp.

Step-by-step explanation:

All you have to do is divide 15 by 5 and get 3. This is because for every 5 ml there is 1 tsp. So for the 15 ml, there is 3 tsp.

GEOMETRY HELP ME PLEASE ASAP
Right and equation of a line passing through the point (-6,-3) and perpendicular to line JK with J(-2,-7) and K(6,5)

Answers

Answer:

Find the slope that passes between the points.

(y₂ - y₁) / (x₂ - x₁)

J(-4, -5)

K(-6, 3)

(3 - (-5)) / (-6 - (-4))

(3 + 5) / (-6 + 4)

8 / -2

-4

Step-by-step explanation:

there

If needed,round your answer to the nearest cent.

please help me.​

Answers

Answer:

1.62 per pen

Step-by-step explanation:

Take the total cost and divide by the number of pens

9.69/6

1.615

Round to the nearest cent

1.62 per pen

4x−7y=48? i need the fraction

Answers

Answer: y = -48/7 + 4x/7

Anju's office uses paper cups shaped like cones to serve water. Each cup has a maximum diameter of 8 cm and a height of 10 cm. Anju fills the cup to 3/4 of its height to prevent spills. What is the approximate volume of water in Anju's cup?

Answers

Answer: 126 cubic centimeters

Step-by-step explanation:

volume = (pi)(r^2)(1/3)(h)

diameter = 8 so radius = 4

4 squared is 16

multiply height by 3/4

10(3/4) = 30/4 = 15/2

Multiply this value by 1/3

15/2 x 1/3 = 15/6 = 5/2

(pi)(25)(5/2)

16x5/2 = 80/2 = 40

(pi)(40)

note: you can substitute 3.14 with pi or use actual pi depending on whether or not you have access to a calculator. they will both round to 196.

126 cubic centimeters

94.2 cubic centimeters is the approximate volume of water in Anju's cup.

To find the approximate volume of water in Anju's cup, we can calculate the volume of a cone using the formula:

Volume = (1/3) × π × r² × h

Given that the cup has a maximum diameter of 8 cm, the radius (r) would be half of that, which is 4 cm.

The height (h) is 10 cm, but Anju fills the cup to 3/4 of its height, so the filled height would be (3/4) × 10 cm = 7.5 cm.

Substituting these values into the formula:

Volume = (1/3) × π × (4 cm)^2 × (7.5 cm)

Volume = (1/3) × 3.14 × 16 cm^2 × 7.5 cm

Volume = 12.56 cm² × 7.5 cm

Volume = 94.2 cm²

Therefore, the approximate volume of water in Anju's cup is approximately 94.2 cubic centimeters (cm³).

To learn more on Volume click:

https://brainly.com/question/13798973

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"5 more than a number™ translates to an equation.
O
True
M
w
O False

Answers

True

5 more than a number is an equation because you are adding two values.

Answer:

n+5

Step-by-step explanation:

If we choose the number to be n then 5 more than is 5 added to the number.

hence: n + 5

3/4 ÷ 1/2 +1 ddgngadgaekyfyuktyjrthrgefwretrytjyktuli;obpnML"NKP?boliykujhtgrfedw

Answers

Answer:

5/2

Step-by-step explanation:

alternative = 2 1/2 , 2.5

The selling price of an item is $550 it’s marked down by 20% but the sale price is still marked up from the cost of $400 find the markup from cost to sale price

Answers

The answer is $40

Solution: from the given information we can know the selling price now is $550(1-20%)= so the markup from cost to sale price is 440=40

what is the equation of a line that passes through the points (6,9) and is perpendicular to the line

Answers

Answer:

the line is perpendicular to what line you didn't mention that

Step-by-step explanation:

When 8 goes in,5 comes out
When 24 goes in.13comes out
when 70 goes in,__ comes out

What is the missing answer?

Answers

When 70 goes in, 36 comes out.

The pattern for this is x/2 + 1.

8/2 = 4, 4+1 = 5

24/2 = 12, 12+1 = 13

70/2 = 35, 35+1 = 36

A sandwich store charges a $10 delivery fee,and $4.50 for each sandwich.

a. Graph the total cost of sandwiches and delivery based on the number of sandwiches ordered. let x represent the number of sandwiches and y represent the total cost. Be sure to label your axes and scale them by labeling each grid line with a number.

PLEASE PLEASE PLEASE answer this i need to get a good grade on my test its worth 70% of my grade.

Answers

Y- intercept form y=Mx+b
Y is total sales
M is price per sandwich
X is number of sandwiches
B delivery Fee


Y = 4.50x + 10

The required graph shows equation y = 10 + 4.50x which represents the total cost of sandwiches and delivery based on the number of sandwiches ordered.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Let x represent the number of sandwiches and y represent the total cost.

Here is a graph of this equation:

y = 10 + 4.50x

This graph shows that the total cost of sandwiches and delivery is a straight line that increases by $4.50 for each additional sandwich ordered. The $10 delivery fee is the y-intercept of the line, which is the point where the line crosses the y-axis (when x = 0).

The slope of the line is 4.50, which indicates the change in the total cost for each unit change in the number of sandwiches.

Learn more about the graphs here:

brainly.com/question/16608196

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is 60:45 and 4:3 are equivalent ratios

Answers

Answer:

yes

Step-by-step explanation:

if we divide both terms of 60 and 45 by 15, we can simplify it to 4:3.

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