A toy rocket is launched from a platform 4.9 meters above the ground in such a way that its​ height, h​ (in meters) after t seconds is given by the equation H= -4.9t^2+ 33.6t+ 4.9. How long will it take for the rocket to hit the​ ground?A toy rocket is launched from a platform meters above the ground in such a way that its​ height, h​ (in meters) after t seconds is given by the equation . How long will it take for the rocket to hit the​ ground?

Answers

Answer 1

Answer:

So H have to equale to 0

and [tex]t> 0[/tex]

[tex]-4,9t^2+33,6t+4,9=0\\\Delta=33,6^2+4*4,9*4,9=1225\\\sqrt{\Delta }=35\\t=\frac{-33,6-35}{2*(-4,9)} =14s[/tex]

Step-by-step explanation:

Answer 2

The toy rocket will take a time of 6.8571 seconds to hit the ground.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given that the height of the rocket (h), in meters, in terms of time (t), in seconds, is defined by a quadratic equation.

To determine the time needed for the rocket to hit the ground, that is, a time t greater than zero such that the height is zero. Now we proceed to solve the polynomial:

- 4.9 · t² + 33.6 · t + 4.9= 0

- 4.9 · (t² - 6.8571 · t - 1) = 0

- 4.9 · (t - 6.8571 ) · (t + 6.8571 ) = 0

Hence, the toy rocket will take a time of 6.8571 seconds to hit the ground.

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Related Questions

1. The measure of the largest angle of a triangle is 12 degrees less than the sum of the measures of the other two. The smallest angle measures 58 degrees less than the largest. Find the measures of the angles.

help please:(

Answers

Answer:

13

Step-by-step explanation:

Answer:

to much typing

Step-by-step explanation:

Let gbe a function such that g(x) = -2r + 5 and is defined on the domain (-1,3) State the range of this function in interval notation.​

Answers

Answer:

The range interval is: (7, -1)

Step-by-step explanation:

Given the function

g(x) = -2r+5

As the domain is (-1, 3)

Let us put the domain values in the interval (-1, 3)

Putting x = -1

g(x)=-2r+5

      = -2(-1)+5

      = 2+5

      = 7

Putting x = 0

g(x)=-2r+5

      = -2(0)+5

      =0+5

      = 5

Putting x = 1

g(x)=-2r+5

      = -2(1)+5

      =-2+5

      = 3

Putting x = 2

g(x)=-2r+5

      = -2(2)+5

      =-4+5

      = 1

Putting x = 3

g(x)=-2r+5

      = -2(3)+5

      =-6+5

      = -1

Thus the range interval is: (7, -1)

I need help! and someone to tell me how to do it
step by step i have my exams tmr!

Answers

Answer:

Step-by-step explanation:

if you look at the graph 0-3 is positive

so that gives us 3+

3-2(you count 3 to -2 is negative since it goes left

so that gives us 3+(-5)

thks

The answer that the other person gave you is correct! Good luck on your exam:)

I'll give 30 for the right answer


the new Toyota can go 15 3/4 miles on 3/4 of a gallon of gas. a.) What is the gas mileage in miles per gallon? b.) How far could the car go on 15 gallons?​

Answers

Answer:

Part A. The Toyota uses 21 miles per gallon.

Part B. The Toyota can go 315 miles using 15 Gallons.

Step-by-step explanation:

P.S Can I have brainliest?

The new Toyota can travel 315 miles with 15 gallons of gas.

Given that, the new Toyota can go 15 3/4 miles on 3/4 of a gallon of gas.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

A) Here, 15 3/4 miles can be written as 63/4

Now, the mileage = 63/4 ÷ 3/4

= 63/4 × 4/3

= 21 miles per gallon

B) Number of miles travelled with 15 gallons

= 21 × 15

= 315 miles

Hence, the new Toyota can travel 315 miles with 15 gallons of gas.

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A set that contains no elements or the number of elements in the set is a natural number is called.

Answers

Answer: It's called a finite. The opposite of a finite is a infinite set.

Step-by-step explanation:

kind of simple I don't know

Plz help me with this question

Answers

Answer:

omg what the heck is this.

Please help me with geometry ASAP!!!

Answers

Answer:

asking all these questions why you asking all these questions

Step-by-step explanation:

solve the equation f/4 + 5 =17

Answers

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

48/4 = 12,   12+5=17


1. The graph below displays the height of an airplane. Describe the change
in the airplane's height over time. (Example 1)
Height
Time

Answers

Answer:

there no picture?? what you mean

The equation 2x+5y=0 represents a direct variation. What is the constant of variation
A. -2/5
B. 5/2
C 2/5
D. -5/2

Answers

The answer will be -2/5 which is A

What is the radius of a circle with an area that is three times its circumference?

Answers

Answer:

6 units

Step-by-step explanation:

please mark me brainliest

how many pepper plants are in 3 plants

Answers

Answer:

tatlo

Step-by-step explanation:

dependi sa lalagyan

please help me i’ll give brainliest or whatever its called

Answers

Answer:

2.6

Step-by-step explanation:

To solve this, we need to use the Pythagorean theorem to solve this.

The way to solve is by solving for AD by using triangle CAD and then using that result to solve for BD.

3.4² + b² = 6.5²

11.56 + b² = 42.25

42.25 - 11.56 = b²

b = √30.69

b = 5.53985559 or about 5.5

4.9² + b² = 5.5²

24.01 + b² = 30.69

30.69 - 24.01 = 6.68

b = √6.68

b = 2.58456959666 or about 2.6

EDIT: the other user is incorrect, here's why

3.4 + 4.5 = 7.9

6.5² + 4.9² = 7.9²

66.26 doesn't equal 62.41

Urgent !!!! write the equation in form y= mx + b ( slope intersect !)

Answers

It said the answer needed to be at least 20 characters long y=50x+25

1/3 + ( -2 1/4) Solve this equation and show your work!
answer has to be a number!

Answers

Answer:

-1.9

Step-by-step explanation:

i used a calculator and the answer was -1.91666666667 and i just cut it down to -1.9 was it right?? im not sure..So you dont have to use that answer!!

Answer:

-1.91666666667

Step-by-step explanation:

1/3 + ( -2 1/4)

1/3 -2 1/4 = -1.91666666667

On a coordinate plane, point D is 1 unit up. Point C is 2 units to the right and 10 units up. Point F is 8 units to the right and 6 units up. Point G is 9 units to the right and 2 units up. Point E is 12 units to the right and 12 units up.

Look at the plotted points. Which statements are true? Select all that apply.

Point C is located at (1, 5).

Point D is located at (0, 1).

Point E is located at (12, 6).

Point F is located at (8, 6).

Point G is located at (9, 2).

Answers

Answer:

point D is 1 unit up; true

Point C is 2 units to the right and 10 units up; false

Point F is 8 units to the right and 6 units up; true

Point G is 9 units to the right and 2 units up; true

Point E is 12 units to the right and 12 units up; false

Step-by-step explanation:

Answer:

The other person is wrong,

Step-by-step explanation:

b, d and e are the correct answers

Ann and Ruth bowled together and had a combined score of 410 points. Ann's score was 44 points less than Ruth's score. Write a system of equations that can be used to determine x, Ann's score and y, Ruth's score.

Answers

Answer:

x=y-44 and x+y=410

Step-by-step explanation:

So, you want to use the equations x=y-44 and  x+y=410 when x is Ann's score and y is Ruth's score. This is because x (Ann's score) is Ruth's score (y) but 44 less, so you subtract y-44 to get x. Then x+y would also have to equal 410 so that's the other equation. Graphing the 2 equations gets you to the point  (183,227) in which Ann's score is 183 points and Ruth's score is 227 points.

A 220-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
The shorter piece is
inches long

Answers

Answer:

let x be the length of the shorter piece.

4x + x= 210

x= 42.

4x= 168

The shorter piece is 42in and the long piece is 168 in.

The length of the shorter piece will be;

⇒ x = 44 inch

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

A 220-inch pipe is cut into two pieces.

And, One piece is four times the length of the other.

Now,

Since,  One piece is four times the length of the other.

Let height of shorter piece = x

Then, The height of longer piece = 4x

Hence, We can formulate;

⇒ x + 4x = 220

Solve for x as;

⇒ 5x = 220

⇒ x = 220 / 5

⇒ x = 44

Thus, The length of the shorter piece will be;

⇒ x = 44 inch

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Question 19 of 25
What is the value of the expression below?
(12^1/6)^6
A. 8
B. 64
c. 12
D. 1

Answers

The answer is B. 64
Cause 12^1 just equals 12 and then you divide it by 6 to get 2 and then you end up with 2^6 which is 64

Answer: 12

Step-by-step explanation:


Apply exponent rules.

- (a^b)^c = a^b*c


Multiply exponents.

- 1/6 * 6 = 1


12^1

Apply exponent rule.

- a^1 = a


= 12

if I have a bottling machine that fills 15 bottles of water every 6 seconds, what is my unit rate and what would be my slope on a graph?​

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the unit rate is termed as the slope of the line.

We also know that the slope is normally represented by a fraction which may be expressed as a unit rate found at the point on the graph.

We are given that a bottling machine fills 15 bottles of water every 6 seconds.

We want a unit rate where  1 is in the denominator.

Thus,

unit rate = 15 bottles / 6 seconds

              = 2.5 bottles / 1 second

              = 2.5 bottles per second

Thus,

The unit rate = 2.5 bottles per second

We know that the unit rate represents the slope of the line which is normally represented by a fraction or ratio.

Therefore,

Slope = 15 / 6

          = 2.5

4x^3(5x) = what,
will mark brainliest

Answers

The answer to that is 20x^4

Answer:

25

Step-by-step explanation:

Roberto buys a car. Because he buys the car from his cousin, he does not have to pay interest. He makes a down payment of $3,000 and pays the rest with monthly payments. The equation that represents the amount owed on the car can be represented by the equation y=−150x+2,500, where x is the number of months that Roberto pays off the loan, and y is the amount he still owes. What does 2,500 represent in this equation? A) The original cost of the car. B) The amount Roberto pays per month. C) The down payment that Roberto makes. D) The amount Roberto has to pay after the $3,000 down payment.

Answers

...........The answer is b

D) After the $3,000 down payment, Roberto must pay the following sum.

What is the real-life use of linear equations?

People utilize linear equations on a regular basis even without utilizing a line graph since the scenarios they confront may involve an unknown number that may be described as a linear equation, such as calculating mileage rates, income over time, and so on. The four basic arithmetic operations are important here: addition, subtraction, multiplication, and division. In this post, we will study more about the applications of linear equations and solve several real-world cases.

Given, Roberto purchases an automobile. He does not have to pay interest because he purchases the automobile from his cousin. He puts down $3,000 and pays the remainder in monthly installments. also given an equation that represents the relation between the number of months Roberto pays and the amount he still owes.

y = -150x + 2500

If we calculate for "0" months then Roberto owes his cousin 2500. and after 1 month of payment, he has to pay 2350$.

Therefore, the meaning of 2500 in this equation is the amount Robert has to pay to his cousin after the down payment.

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What is the solution to the system
y=-3x+2
y = x - 3
using the table
x 110x):= V 20 Y
-3/4"x+2 0.5*x-3
1.25
-2
0.5
12
3
4
-0.25
-1
175
0:51

Answers

Answer:

I think it’s a

Step-by-step explanation:

On edge

Help me right now like now

Answers

Answer:

2. trust me.. i did it before.

2 (sorry if im wrong im trying)

holaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

HIIIIIIIIIIII

Step-by-step explanation:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Transform the equation if necessary, and then solve it to find the value of x that makes the equation true.

11(x+10)=132

Answers

Answer:

11(x+10)=132 x = 2

Step-by-step explanation:

Step 1: Distribute the 11 to the "x" and the "10".

          (Equation now becomes 11x + 110 =132)

Step 2: Subtract the "110" over to the "132"

          (Equation now becomes 11x=22)

Step 3: Divide the "11" and the "22" --> 11x=22

                                                                11    11

Answer : x = 2

The answer is x=2 !!!

What is the sign of -5 × (-1/-2)

Answers

-5 times (- 1/-2)

-5 times -1/-2

-5 times 1/2

-5 times -1/-2

-5/2

And in Alternative form: -2 1/2, -2.5


A cylinder has height 20cm.
The area of the circular cross section is 74cm.
Work out the volume of this cylinder

Answers

Answer:

volume= l*b*h

So, Volume=area*height

= 74*20

=1480cm³

350cm³ to 1 litre as a ratio in its lowest terms​

Answers

We need to know about ratio to solve the problem. The ratio of 350[tex]cm^{3}[/tex] to 1 litre as a ratio in its lowest terms is 7:20.

Ratio is the measure of how many times one number contains another in it. We can find the ratio of one quantity to another by dividing one by the other by cancelling out the common factors between the two. We have to find the ratio of 350[tex]cm^{3}[/tex] to 1 litre in its lowest terms. The lowest terms for both the quantities is [tex]cm^{3}[/tex]. We know that 1 litre =1000[tex]cm^{3}[/tex], we will convert the 1 litre to 1000[tex]cm^{3}[/tex] for calculating the ratio.

The ratio of 350 [tex]cm^{3}[/tex] to 1 litre =350/1000=35/100=7/20= 7:20

Therefore we found the ratio of 350 [tex]cm^{3}[/tex] to 1 litre in its lowest terms to be 7:20 by using the concept of ratio.

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a
3000
b
300
c
30
d
3 x 103

Answers

Answer:

What is the question. I can't help if there is no question

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