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

A garden swimming pool with a cuboidal shape is 8m long, 4m wide and 150 cm deep. The pool which is partially filled has 40m cube of water in it

Answers

8. 4m x 8m x 1.5m (150cm is equal to 1.5m) and minus by 40

What is the area (what is the height)

Answers

Answer:

5 i think

Step-by-step explanation:

The trapezoid's height (h) is 4 mm(millimeters).

Formula to calculate a trapezoid's height;

2 x Area ÷ by A(short base) + B(large base)

(Hurry) guys pls help me, i don’t understand what my teacher taught me

Answers

Answer:

Step-by-step explanation:

me too i dont know

Answer:

8 cm≈ 117.6 cm³

Step-by-step explanation:

Total surface area:

A = 4(1/2*7*l) + 7² = 14l + 49, where l is a slant height

We are given:

A = 161 cm²

Find the value of l:

14l + 49 = 16114l = 112l = 112/14l = 8 cm

Use Pythagorean to find the height h of the pyramid:

l² = h² + (7/2)²8² = h² + 3.5²h² = 8² - 3.5²h² = 51.75h = √51.75h ≈ 7.2 cm

Find the volume:

V = 1/3BhV = 1/3*7²*7.2V = 117.6 cm³

what is the unit price of a 24 oz box of cereal price to $3.84​

Answers

Answer:

$6.25

Step-by-step explanation:

divide the weight by price

40.8 divide by 12 pleas find it

Answers

Answer:

40.8 ÷ 12 = 3.4

Step-by-step explanation:

---------

The solution of expression 40.8 divide by 12 is, 3.4

The given numbers to divide are,

⇒ 40.8 divide by 12

Let us assume that, a is divided by b,

Then, it can be written as,

⇒ a / b

Hence, We can write as,

⇒ 40.8 / 12

⇒ 408 / 120

⇒ 3.4

Therefore, The solution of expression 40.8 divide by 12 is, 3.4

Learn more about the divide visit:

brainly.com/question/28119824

#SPJ6

hi can someone help me....can't get the answer.....you need to find a+b+c+d ​

Answers

Answer:

B) 306°

Step-by-step explanation:

1. Pentagons have a sum of interior angles of 540°

2. Triangles have a sum of interior angles of 180°

3. Knowing that triangle EFA is isosceles, we know that

   <FEA = *<FAE, so they are equal to:  (180° - <F) /2   =   (180° - 36°) / 2

   = 144° / 2  

   = 72°

4. m<A + m<B + m<C + m<D + m<E = 540°

   It is also given that **m<D = 90°,

   so therefore m<A + m<B + m<C + m<E = 450°

5. Now to find a+b+c+d   (m<a + m<b + m< c+ m<d),

       m<a = m<E - 72°    and    m<d = m<A - 72°

   This means that

   m<a + m<b + m< c+ m<d = (m<A - 72°) + m<B + m<C + (m<E - 72°) = 450°

6. Finally,

m<a + m<b + m< c+ m<d  =  450° - 72° - 72°  =  306°

       

   

EXTRAS

* < is an angle symbol

** m<D means measure of angle D

what is the slope of (16,1) and (17,7)

Answers

6 or 6/1.

The slope formula is (y2-y1)/(x2-x1). Replace the formula with the actual numbers. You should have 7-1/17-16. After subtracting, you will have 6/1, which is equal to 6. Hope that helped!

A SQUARE RECTANGULAR PRISM (BASE IS A SQUARE) HAS A
VOLUME OF 38 CU. IN. THE HEIGHT IS 10 LESS THAN THE AREA
OF THE BASE. WHAT IS THE HEIGHT? NO UNITS.

Answers

The height of the prism [tex]\approx 2.9[/tex]

The whole volume of the prism is

[tex]\text{Volume} = \text{Area of base}\times \text{Height}[/tex]

Here, the volume is 38 cu. in.

From the question, the area and the height are related as follows;

[tex]\text{Height} = \text{Area} - 10 \implies \text{Height + 10} =\text{Area}[/tex]

Substituting this into the formula for the volume, we get

[tex]\text{Volume}=(\text{Height} +10)\times \text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}-38=0[/tex]

If the above quadratic equation is solved for the height, we get

[tex]\text{Height}\approx 2.9[/tex]

(We can't take the other solution since height has to be greater than zero)

Another word problem on volume can be found in this link: https://brainly.com/question/17142547

What is the domain and range of the function below

Answers

Domain is [+7,+infinity[

WIlL GIVE BRAINLIEST!!!
Write two expressions for this situation, one representing the cost per customer and the other representing the average number of customers. Assume that x represents the number of $1 increases in the cost of the buffet.

Enter the correct answer in the box. Type the cost expression on the first line and the customer expression on the second line.

Answers

The expressions that can be used to derive the quadratic inequality for the

situation are;

Cost: 10 + xCustomers: 16 - 2·x

Reasons:

The parameters of the restaurant are;

The charge per buffet = $10

Number of customers that choose the buffet every hour = 16 customers

For an increase in $1 in the cost of the buffet, the customers decrease by 2 per each hour.

The required minimum revenue per hour = $130

Required:

The situation is to be modelled as a quadratic inequality.

Two expressions for the situation, one for the cost and one for the

customers.

Assumption: x = The number of $1 increases in the cost of the buffet

Solution:

The expressions are;

The cost of the buffet for an increase in x dollars is; Cost = 10 + x

The expression for the customers when the cost increases by x amount is; Customer = 16 - 2·x

Which gives;

Cost × Customers = Revenue

The inequality that models the situation is therefore;

(10 + x) × (16 - 2·x) ≥ 130

Which gives;

160 - 20·x + 16·x - 2·x² ≥ 130

160 - 4·x - 2·x² ≥ 130

Learn more about inequalities here:

https://brainly.com/question/10081223

Answer:

Cost: 10 + x

Customers: 16 - 2·x

Step-by-step explanation:

I got it right. Hope this helps.

Help me on this pls and thank you

Answers

Answer:

5x - 15 + 2x + 90 = 180

180 since it's a flat line, and all the angles should add up to 180 which is angle AOB, 90 degrees is already given in the middle.

Simplify all the terms (The algebra portion)

7x - 15 + 90 = 180

7x + 90 = 195

7x = 105

x = 105/7

x = 15

now substitute in x for all these angles

2(15) = 30 degrees is the angle GOB

5(15) - 15 = 60 degrees is the angle AOF

60 + 90 + 30 = 180 degrees.

and x = 15

please help me i will give brainliest if you get the answer correct!!

Answers

the answer is the third option f(2)<g(2)

if we input in 2 in both equations for f(x) we get 48 and for g(x) we get 175

Please help! urgent! A-E questions
no links!!!!!

A. Name a line parallel to KI.
B. Name a line skew to KI
C. Name a plane parallel to plane KIJ.
D. Name a line parallel to plane GJI.
E. What is a difference between parallel lines and skew lines? ​

Answers

Answer:

a. KJ

b. GF

c. HFG

d. FIJ

e. parallel lines will never intersect, skew lines are crooked and not in line with another specified line.

Step-by-step explanation:

hope this helps :)

Graph the line passing though (-6,-1) whose slope is m= -4/3

Answers

y=-4/3x-9

hope it helps

HELPP LIKE ILL GIVE 25 PTS!

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Domain of f(x) ~

[tex] - 6 \leqslant x \leqslant - 1[/tex]

Range of f(x) ~

[tex] - 5 \leqslant x \leqslant - 3[/tex]

Domain of f(x): -6 ≤ x ≤ -1

Range of f(x): -5 ≤ x ≤ -3

What is the constant of proportionality in the equation
Below

Answers

Answer:

k = 9/2

Step-by-step explanation:

Constant of proportionality, k = y/x

given: x/y = 2/9

since k = y/x, therefore, k value will now be inverse of 2/9, which is 9/2

15 POINTS AND BRAINLIEST, im to lazy and this was do two weeks ago please help.

Answers

Answer:

$1.79

Step-by-step explanation:

h + 5f = 8.74 → (1)

2h + 3f = 7.75 → (2)

Multiplying (1) by 3 and (2) by - 5 and adding will eliminate f

3h + 15f = 26.22 → (3)

- 10h - 15f = - 38.75 → (4)

Add (3) and (4) term by term to eliminate f

- 7h = - 12.53 ( divide both sides by - 7 )

h = 1.79

The hamburger cost $1.79

How would you write the quotient with a simplified fraction as a remainder?

Answers

Answer:

The answer is B) 851 ÷ 46 = [tex]18 \frac{1}{2}[/tex]

Step-by-step explanation:

851 ÷ 46 = 18.5

[tex]18 \frac{1}{2}[/tex] = 18.5

18.5 = 18.5

Since both are the same result that means that option B is the correct answer.

Easy question for some points 2x2-6+4

Answers

Answer:

2

Step-by-step explanation:

2 x 2 - 6 + 4

4 - 6 +4

4 - 2

2

The equation y = -4X -1 Has a slope of _______ possible answer choices: -4,-1, no slope and 0) and a y-intercept of possible answer choices: -4, -1 0 and no y-intercept)_______?

Answers

Answer:

slope = - 4 , y- intercept = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x - 1 ← is in slope- intercept form

with slope m = - 4 and y- intercept c = - 1

Answer:

-4 then -1

Step-by-step explanation:

The number behind the x value is the gradient and the last number is the y - intercept.

A recipe for 2 dozen cookies uses 300 grams of flour, 250 grams of butter,
and 150 grams of sugar. How much of each ingredient would be required to make 120 cookies?
Flour:
grams
Butter:
grams
Sugar:
grams

Answers

Flour; 1500grams
Butter; 1750grams
Sugar;750 grams

Kyle had some money.
He spent £12 on a ticket to a football match.
He spent £9.90 on a scarf.
Kyle has two-fifths of his money left.
Work out how much money Kyle had to start with.

Answers

£36.50 is the answer
pls make me brainliest i need one more to move up :)
it means he spent three-fifths
12 + 9.90 = 21.90
21.90 = three-fifths
one-fifth = 21.90 : 3 = 7.3
7.3 x 5 = 36.5

Solve for r.
4r+10>6
71 points

Help Plslsspsl

Answers

Answer:

r > -1

Step-by-step explanation:

4r + 10 > 6

4r + 4 > 0

4 > -4r

-4 < 4r

-1 < r

r > -1

Answer:

r > - 1 or r ∈ (- 1, + ∞)

Step-by-step explanation:

4r + 10 > 64r > 6 - 104r > - 4r > - 4/4r > - 1 or r ∈ (- 1, + ∞)

Which postulate /theorem can you use to prove the two triangles shown are congruent? ​

Answers

777377737666267#773727363653626728’e

Solve the following inequality.
3x + 5 < 6x – 1

Answers

22

Subtract 3x on both sides
Add 1 on both sides
Divide by 3 on both sides
Then you get your answer

Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $2.12 or the 14-ounce box for $2.74?

Answers

First you want to know the price for each ounce. So for the 10 ounce box: 2.12 / 10= $0.212 per ounce. Now for the 14 ounce box : 2.74/ 14 = $0.19 per ounce. So the 14 ounce box is cheaper for $2.74 as 0.19<0.21

The 14-ounce box is cheaper at a cost of $2.74 than the 10-ounce box.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

First, we have to find the price for each ounce.

So for the 10-ounce box:

⇒ 2.12 / 10

Apply the division operation,

⇒ $0.212 per ounce.

Now for the 14-ounce box:

⇒ 2.74/ 14

Apply the division operation,

⇒ $0.19 per ounce.

Here the cost of the 14-ounce box is less than the 10-ounce box as 0.19 < 0.21

Therefore, the 14-ounce box is cheaper at a cost of $2.74.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

Find 3 ratios that are equivalent to the given ratio 3 over 6

Answers

1/2 2/4 5/10 are also equivalent to the 3/6 ratio!!!

solve the equation −4(m+6)=−8

Answers

.,........................

Roy bought cupcakes for his sister's birthday party. 4 out of the 10 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?

Answers

40%%%%%%%%%%%%%%%%% I believe

Use the incomplete reaction to complete the activity. Ba(ClO3)2 → ____ + 3O2 In one or two sentences, identify the type of reaction that is occurring and identify the other product. Based on the subscripts of the elements in the other product and the fact that chlorine has seven valence electrons, determine the number of electrons in barium’s (Ba) outer shell.

Answers

The missing product of the reaction is BaCl2 and we can see that barium has two electrons on its outermost shell.

The complete reaction is  Ba(ClO3)2 → BaCl2 +  3O2. From the reaction equation, we can see that the missing product is BaCl2. The compound is composed of one barium atom and two chlorine atoms.

Since chlorine has seven valence electrons, it means that it requires two electrons from barium to complete its octet in BaCl2. This now means that barium has two electrons in its outermost shell.

Learn more: https://brainly.com/question/2192784

OXIDATION UNIT TEST

1. Which statement best explains why magnesium and chlorine combine in a 1:2 ratio?

A. Magnesium has two valence electrons, and chlorine can accept one electron in its outer shell

2. Hydrogen and nitrogen combine to form ammonia. When nitrogen and hydrogen bond, nitrogen pulls the electrons from hydrogen toward itself. Which statement about the reactants is correct?

C. Hydrogen is oxidized, and nitrogen is reduced.

3. C3H8 + 5O2 → 3CO2 + 4H2O + energy

Which type of reaction is shown?

C. combustion

4. Which phrase best defines a redox reaction?

D. a reaction in which electrons are transferred between different atoms

5. Which statement describes the process of oxidation?

D. Oxidation results in a loss of electrons, so the oxidation number increases.

6. Which chemical equation represents a redox reaction?

D. Fe2O3(s) + 2Al(s) → Al2O3(s) + 2Fe(l)

7. Which statement correctly describes the oxidation number of the manganese atom (Mn) in MnI2 and MnO2?

A. Manganese has an oxidation number of +2 in MnI2 and +4 in MnO2.

8. Br2(l) + 2NaI(aq) → I2(s) + 2NaBr(aq)

Which elements are oxidized and reduced in the reaction?

D. Iodine (I) is oxidized, and bromine (Br) is reduced.

9. Which action occurs at an electrode of a galvanic cell?

D. electron transfer

10. Which statement best compares a battery and a galvanic cell?

A. A battery’s source of power is a galvanic cell in which a redox reaction produces electrical energy.

11. Zn + 2H+ → Zn2+ + H2

2Al + 3Cu2+ → 2Al3+ + 3Cu

Which elements are oxidized?

A. zinc (Zn) and aluminum (Al)

12. 2Cr(s) + 3Cu2+(aq) → 2Cr3+(aq) + 3Cu(s)

Which half reaction occurs at the cathode?

B. 3Cu2+(aq) + 6e– → 3Cu(s)

13. Written

14. Written

15. Written

I hope this helps!

Other Questions
what organ retains or releases body fluids, thereby regulating blood volume and blood pressure? Which figure is NEVER a parallelogram?trianglerectanglerhombussquare Will give brainly crownJareds average daily balance for last month was $560. The finance charge was $8.12.a. What was the monthly percentage rate? b. What was the APR? Directions: Write thenumerical expressioninto word form. I it is inword form, write it as anumerical expression. (8x2)-(3+5) worth 30 pts pls helppp What city was the March to the Sea headed towards?SavannahColumbusAtlantaChickamauga the natural enzyme reaction in food slowly breaks it down and eventually causes it to spoil. what 2 things halt this enzyme reaction and help preserve the food?microwavingcooking at high temperaturestoring properly in the refrigeratorblanching and canning answer this step by step pls Why are Antinous and the other suitors confident that they can stay as long as they want inOdysseus's palace? suppose you are advising a mayoral candidate in your town. the candidates platform includes strong opposition to monopoly suppliers because consumer welfare is compromised by monopoly pricing. which of the following statements would present your candidate with an alternative view about why it may make sense to tolerate the existence of some monopoly firms? help me can you help with the second part what is the mass of the ice (in kg) composing the iceberg? Help help help help help please please please Dan bought x pounds of potatoes for $0. 85 per pound and y pounds of grapes for $1. 29 per pound. The total cost was less than $5. Which inequality represents his purchase? 1. 29x + 0. 85y < 5 1. 29x + 0. 85y > 5 0. 85x + 1. 29y > 5 0. 85x + 1. 29y < 5. Select ALL of the correct answers.Which three actions did the Allied forces take to bait German troops away from the coast of France in preparation for D-Day under the command of General Patton?*mass imprisonment of civilians*invasion of Sicily*deploying a ghost army*employing operation Barbarossa*sending fake radio communication Mr. And mrs. Samson decide to go with design a and purchase the materials. Their total bill is 356.88. If they pay 220 in cash and charge the remainder, how much did they charge? In 1954, South Vietnam used a government based on _____________________________. Please help thankssssss What is the equation of the line in slope-intercept form? A man is running on the straight road with the uniform velocity of 3 m/s.calculate the acceleration produced by him.