1. The height of a missile t seconds after it has been fired is given by h=4.9t^2+44.1t. How many seconds will it take for the rocket to reach its greatest height?​

Answers

Answer 1

Answer:

The rocket will take 4.5 seconds to reach its maximum height.

Step-by-step explanation:

The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t

This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0

To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: [tex]x=\frac{-b}{2*a}[/tex]. The y coordinate of the vertex corresponds to the function evaluated at that point.

In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:

[tex]t=\frac{44.1}{2*(-4.9)}[/tex]

t=4.5

The rocket will take 4.5 seconds to reach its maximum height.


Related Questions

What is the measure of the missing angle? *
H
60°
82%

Answers

Answer:

38 degrees

Step-by-step explanation:

180 - (60 + 82) =

180 - 142 =

38 degrees

Hope that helps!

38 degrees homie hope this helps



Kaylee surveyed 920 of the students in her school about their favorite color. 95% said

their favorite color was blue. How many students' favorite color was blue?

Answers

Answer:

x = 874

Step-by-step explanation

Set up your equation like this: Part/whole = percent/100

Assign the variable x to the unknown part of the equation and add in the known numbers:

So in this situation it would be: x/920 = 95/100

Solve for x:

100 times X = 920 times 95. (cross multiply)

That leaves you with 100x = 87,400

Divide both sides by 100:

x = 874

Please help me on this I need help

Answers

Answer:

49.92

Step-by-step explanation:

Square = 30

5 x 6 = 30

Half Circle = 9.42

6 x 3.14 = 18.84 divided 2 since it’s a half circle equals 9.42

Triangle = 7.5

3 x 5 = 15 divided by 2 = 7.5

So, 30+ 9.42 + 7.5 = 49.42

PLSSSS HELPPPPP ASAPPPP

Answers

Answer:

b

Step-by-step explanation:


Write an equation in slope-intercept form of the line that passes through the points (-2, - 11) and (3,9).
The equation is y=

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

(-2, -11) & (3, 9)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(9 - (-11)) / (3 - (-2))

Simplify the parentheses.

= (20) / (5)

Simplify the fraction.

20/5

= 4

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 9). Plug in the x and y values into the x and y of the standard equation.

9 = 4(3) + b

To find b, multiply the slope and the input of x(3)

9 = 12 + b

Now, subtract 12 from both sides to isolate b.

-3 = b

Plug this into your standard equation.

y = 4x - 3

This is your equation.

Check this by plugging in the other point you have not checked yet (-2, -11).

y = 4x - 3

-11 = 4(-2) -3

-11 = -8 - 3

-11 = -11

Your equation is correct.

Hope this helps!

How do you write 6.14 × 105 in standard form?

Answers

Answer:

644.7

Step-by-step explanation:

whats the error in this question

Answers

Answer:

line 1

Step-by-step explanation:

This is because when using the distribitive property they did not multiply the 1 in parenthese which would be x-5x+5=3x+2

Answer:

PROBABLY LINE ONE

Step-by-step explanation:

BECAUSE THE FOLLOWING LIKE THE ANSWER IS WRONG  

How many 3-inch thick bags of mulch should Noemi buy to cover 100 square feet at a depth of 4 inches? The length is 3.2ft and the width is 2.5ft.

Answers

Answer:

Approximately 17 bags.

Step-by-step explanation:

The length of the bag of mulch = 3.2 ft

The width of the bag of mulch = 2.5 ft

The thickness of the bag of mulch = 3 inch = 0.25 ft

Volume of a bag of mulch = length x width x thickness

                                          = 3.2 x 2.5 x 0.25

                                          = 2 cubic feet

So that, the volume of a bag of mulch is 2 cubic feet.

The area to be covered = 100 square feet

The depth of the area = 4 inches = [tex]\frac{1}{3}[/tex] feet

volume of the portion to be covered = area x depth

                                                = 100 x [tex]\frac{1}{3}[/tex]

                                                = 33 [tex]\frac{1}{3}[/tex] cubic feet

The volume of the portion to be covered is 33 [tex]\frac{1}{3}[/tex] cubic feet.

The number of bags of mulch needed = [tex]\frac{33\frac{1}{3} }{2}[/tex]

                                                       = 16[tex]\frac{2}{3}[/tex]

                                                   = 16.6667

The number of bags of mulch needed is 17.

Write down a different ratio equivalent to 42 : 12

Answers

Step-by-step explanation:

simplify it maybe

try it with 2 and 3

Answer:

Another ratio that is equivalent to this is 7:2.

Step-by-step explanation:

If we divide both sides by 6, we get 7 and we get 2. Since 42 comes first, we put the 7 in place of the 42. Then we replace 12 with 6. After this, we get the ratio 7:2.

PLEASE HELP ME!!PLEASE HELP ME!!!!!

Answers

Answer:

The actual dimensions would be 3.375 feet by 3.5 feet. The area of the room would be 11.8 square feet.

Step-by-step explanation:

please help this is so important and i need it now

Answers

Angle B will be 23 degrees

bs ng to the top left of the most popular c.hatrooms trooms aren't for the best in the United Arab Republic of Ireland in the United Arab Republic in the same time the error occurred to him in a few years later

Step-by-step explanation:

Against the law is a healthy lifestyle of the world of difference between the two of the most important thing is that the only thing we will not...❤️❤️

Please help! I need the steps too!

Answers

Answer:

The answer is -3 2/7

Step-by-step explanation:

5- 1x1 - -4x4 + 3/2-1-4-4

5 - 1 +16+3/2-1-4-4

4+16+3/-7

23/-7

or - 3 2/7

In the month of February I spent 37.45 on coffee and a mug.... How many refills did I get?

8.95 +1.50r= Total



Someone help ASAP!

Answers

8.95 + 1.50r= 37.45

find the value of r ...

which is 19

19 refills

What is the perimeter of the composite figure?

Answers

Answer: 96 cm

Step-by-step explanation:

The perimeter is the combined sum of the sides.

So 18 + 22 + 3 + 8 + 6 + 15 = 72

To find the 2 missing sides we use the information we already have.

On the top, we can see 18 is overall the largest line from the missing side.

So we'll need to subtract something from 18.

15 - 8 = 7 ( Inferencing )

18 - 7 = 11 ( length of the top missing side )

22 - 9 = 13

11 + 13 + 72 = 96 cm

Answer:  The perimeter is 85 cm

Step-by-step explanation:

To find the perimeter you will need to add the distance around the shape.

But there seem to be one missing side .

To find that missing side we will have to add 3cm and 6 cm then subtract it from 22.

3 + 6 = 9

22 - 9 =  13

Now add the distance around the shape plus the 13.

22 + 15 + 6 + 8 + 13 + 3 + 18 =  85

a
y = 2x + 5
C.
Find an equation of the line perpendicular to the graph of 10x - 5y = 8 that passes through the point at (-4, 7)


Answers

Answer:

c .....the answer is c.....

Step-by-step explanation:

I hope this helps

A fossilized leaf contains 8% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14.

Answers

Answer:

Step-by-step explanation:

0.5^(t/5600) = 0.08

2^(-t/5600) = 0.08

-t/5600 = log₂0.08

t = -5600 log₂0.08 ≈ 20406 years

What is the value of the expression below when y=
4 and z=
= 4
5y+7z

Answers

Answer:

48

Step-by-step explanation:

Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a

kitchen cabinet set in 1/5 of an hour.

How many kitchen cabinet sets can be installed by her workers in 1 hour?

Express your answer as an improper fraction.

Answers

Answer:

10/3 of the cabinet

Step-by-step explanation:

Given data

We are given that in 1/5 hour they can install 2/3 kitchen cabinet

We want to find out how many of the kitchen cabinet they can install in one hour

Hence

in 1/5 hour they installed 2/3 cabinet

in 1 hour they will install x cabinet

cross multiply

x* 1/5= 2/3

divide both sides by 1/5

x= 2/3/1/5

x= 2/3*5/1

x= 10/3 of the cabinet

pleasee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

BDE

or

EDB

Step-by-step explanation:

Make the marked angle, D, your center point. Find the two other points of the angle, E and B. write them in order, forwards and backwards.

Draw graph of straight lines to find approximate solution to these simultaneous equations . y = 3x + 7 and 2y + x = 2

Answers

Answer:

(-1.714, 1.857)

Step-by-step explanation:

Here, we want to find the approximate solution to the system of linear equations

We start by plotting the graph of the lines

We have the plot as shown below;

the red line represents the first equation while the blue line represents the second equation

We have the solution as the point at which the two lines meet

The solution to this is;

(-1.714, 1.857)

solve for x,y and z in the following diagrams ​

Answers

Can I get a new photo, I would gladly answer all of them for you

Solve the system.
3x + 2y + 4z = 11
2x – y + 3z = 4
5x – 3y + 5z = -1
Enter your answer as an ordered triple.


Someone help please!!

Answers

My math problem is write one hundredths as a decimal

Answer:   (x, y, z) = (-3, 2, 4)

In other words, x = -3, y = 2 and z = 4.

You'll enter the number only into each box.

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

Explanation:

There are a few routes we can take to solve this. I'll use substitution.

First let's isolate y in the second equation.

2x - y + 3z = 4

2x + 3z = 4+y

4+y = 2x+3z

y = 2x+3z-4

This is then plugged into the first equation

3x+2y+4z = 11

3x+2( y )+4z = 11

3x+2( 2x+3z-4)+4z = 11 .... replace y with 2x+3z-4; since y = 2x+3z-4

3x+4x+6z-8+4z =11

7x+10z-8 = 11

7x+10z = 11+8

7x+10z = 19 .... we'll call this equation (4) and come back to this later

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

Move onto the third equation (of the original equations given)

Plug in y = 2x+3z-4

5x - 3y + 5z = -1

5x - 3( y ) + 5z = -1

5x - 3( 2x+3z-4 ) + 5z = -1

5x - 6x - 9z + 12 + 5z = -1

-x - 4z + 12 = -1

-x - 4z = -1-12

-x - 4z = -13 ..... let's call this equation (5)

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

To recap, we found equation (4) and equation (5) to be

7x+10z = 19-x - 4z = -13

We can then solve for x in equation (5) like so

-x - 4z = -13

-x = -13 + 4z

-x = 4z - 13

x = -(4z - 13)

x = -4z + 13

This is then plugged into equation (4)

7x+10z = 19

7(-4z+13)+10z = 19 .... note how we now have one variable

-28z+91+10z = 19

-18z+91 = 19

-18z = 19-91

-18z = -72

z = -72/(-18)

z = 4

We can use this value of z to find x

x = -4z+13

x = -4(4)+13

x = -16+13

x = -3

Use the values of x and z to find y. We'll revisit the first equation in which we isolated y

y = 2x+3z-4

y = 2(-3)+3(4)-4

y = -6+12-4

y = 6-4

y = 2

So overall, the solution to this system is (x, y, z) = (-3, 2, 4)

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

Checking the answer:

We'll replace x,y,z with the values we found.

In the first equation, 3x+2y+4z = 11 becomes 3(-3)+2(2)+4(4) = 11 and that simplifies to 11 = 11. In other words, the expression 3(-3)+2(2)+4(4)  turns into 11. This confirms the first equation.Repeat the same idea for the second equation. We have 2x-y+3z=4 turn into 2(-3)-2+3(4) = 4 and that simplifies to 4 = 4. The answer is verified here. The third equation 5x-3y+5z = -1 becomes 5(-3)-3(2)+5(4) = -1 which simplifies to -1 = -1. We get a true equation here as well.

Since all three equations are true when (x, y, z) = (-3, 2, 4), this verifies the answer completely. This is the only solution to the system. The system is independent and consistent.

A shipping container will be used to transport several 80-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 26500
kilograms. Other shipments weighing 6300 kilograms have already been loaded into
the container. Write and solve an inequality which can be used to determine x, the
number of 80-kilogram crates that can be loaded into the shipping container.

Answers

Answers:

The inequality to solve is [tex]80x+6300 \le 26500[/tex]The solution to the inequality is [tex]x \le 252.5[/tex]Interpretation: The most crates we can load is 252 since we can only load a positive whole number of crates, and because 253 is too many.

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

Explanation:

x = number of 80-kilogram crates

x is some positive whole number

1 crate weighs 80 kilograms, so x of them will weigh 80x kilograms.

This is added on top of the 6300 kg from the other cargo already on board.

We have a total weight of 80x+6300. Let's call this T.

So T = 80x+6300

We want T to be 26500 or smaller. Otherwise, we've gone over capacity.

This must mean we want [tex]T \le 26500[/tex] which is the same as saying [tex]80x+6300 \le 26500[/tex] after replacing T with 80x+6300.

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

Let's follow PEMDAS in reverse to isolate x

[tex]80x+6300 \le 26500\\\\80x+6300-6300 \le 26500-6300 \ \text{ ... subtract 6300 from both sides}\\\\80x \le 20200\\\\\frac{80x}{80} \le \frac{20200}{80} \ \text{ ... divide both sides by 80}\\\\x \le 252.5\\\\[/tex]

The inequality sign stays the same the entire time. It would only flip if we divided both sides by a negative number.

In the last step, we get a decimal value. However, as stated earlier, x is a positive whole number.

We cannot round to 253 because that's too high. We can check x = 253 is too high by noticing that...

80x+6300 = 80*253+6300 = 26,540

which is over the 26,500 mark by 40 kg

So we must round down to the nearest whole number and find that x = 252 is the largest x value possible. Let's check to see if we're under the weight limit

80x+6300 = 80*252+6300 = 26,460

We're under the 26,500 weight limit (with 40 kg to spare)

In short, the most crates that we can load is 252 crates in addition to the other cargo that collectively weighs 6300 kg (which may or may not consist of those 80-kilogram crates).

Da los resultados de las siguientes multiplicaciones de expresiones algebraicas:
1) 2a^2 por 3a=
2) -5x^2 por 2xy=
3) 2m (4m - 3)=
4) (3xy - 2) por ( 5x^2 + 4)=
5) 2a^2 por 3a^3=
6) - xy^2 por -5mx^4y^3=
7) 3a^2b por -4b^2x
Porfa ame urge ​

Answers

Answer:

no se tu dime xd jajajaajajajajajajajsjaa ahahahahahahahahsidigfue

Carter bought 3/4 yard of fabric for an art project. He used 3/8 yard of the fabric. What fraction of a yard of fabric does Carter have left?

Answers

Answer:

3/8

Step-by-step explanation:

He purchased 3/4 yard of fabric, then used 3/8 of it. You would need to subtract the 3/8 from 3/4 because the fabric is being used up.

what is the domain of the function a^x

Answers

Answer:

The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

Step-by-step explanation:

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

Step-by-step explanation:

Identify the input values.

Since there is an even root, exclude any real numbers that result in a negative number in the radicand. ...

The solution(s) are the domain of the function.

:

Two boats are traveling toward a lighthouse that is 200 feet (ft) above sea level at its top. When the two boats and the lighthouse are collinear, the boats are exactly 250 feet apart and the boat closest to the lighthouse has an angle of elevation to the top of the lighthouse of 15°, as shown.






What is the value of x, rounded to the nearest hundredth?

Answers

Answer:

Which Number Is x, You Didnt Specify

What’s the rate of -5x - 6

Answers

Answer:

30

Step-by-step explanation:

HEEEEELLLLPPPP
write a short explanation of why the distance formula works and include a discussion of why either point can be point 1 or point 2

Answers

Answer:

Finding the distance between two distinct points on a plane is the same as finding the hypotenuse of a right triangle. From this perspective, the distance formula states that the distance of two distinct points on a plane is equal to the square root of the sum of the square of the rise and run.

I can not Put Out The Points So Im sorry.

You took a test that had 45 questions. You got 42 correct. What percent of the questions did you get correct

Answers

42/45
= 0.933333333333333
0.933333333333333 x 100
= 93.3%
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