A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second. -16x^2+129x+119

Answers

Answer 1

Answer:

8.90 seconds

Step-by-step explanation:

When the rocket hits the ground, its height ( y ) will be zero. This means we can write the equation as:

0 = -16x²+129x+119

So we need to solve that equation:

a = -16b = 129c = 119x = [tex]\frac{-b\frac{+}{-}\sqrt{b^2-4ac} }{2a}[/tex]

x₁ = -0.84

x₂ = 8.90

We discard x₁, as it is negative.

So the answer is x₂, 8.90 seconds.


Related Questions

Why can you use the constant of proportionality with any representation?

Answers

Answer:

The number k is called the constant of proportionality. One important way of thinking about this constant k is that it tells us how much y increases by if we increase x by exactly 1. to express that y is directly proportional to x.

Proportionality constant can be used with any representation to determine how a variable is changing with respect to others.

Variation is a method comparing the nature of a variable with another variable using a constant called the proportionality constant

For instance, if a variable y is directly proportional to x, it is expressed as;

y ∝ x

y = kx

k is the proportionality constant relating y to x and shows that as the value of y is increasing, the value of x is also increasing and vice versa.

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What is the answer to the problem 4y + 3 - y - 2

Answers

Answer:

3y+1

Step-by-step explanation:

4y+3-y-2

3y+3-2

3y+1

Answer:

3+1

Step-by-step explanation:

Subtract the numbers

4+3−−2

4+1−

Helppp please it’s quick

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what do you need help with?

Answer:

ysh what do you need?

Step-by-step explanation:

will mark brainliest!!

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Answer:

the angle is 176

Step-by-step explanation:

4. Factor Completely *
(1 Point)
5x3 + 40x2 - 2x - 16

Answers

Answer:

(x+8)(5x2−2)

Step-by-step explanation:

Hope this helps have a nice day :)

An Ice cream shoppe makes $15 for every 4 milkshakes they sell. If they made $71.25 in one hour on milkshakes, how many did they sell?

Answers

Answer:

19

Step-by-step explanation:

Math please help whoever is good at it ! Points 15

Answers

Answer:

3

Step-by-step explanation:

2x + 4 = 10

2x = 6

x = 6 ÷ 2

x = 3

3 my dude and have a great day!

The table below shows the total number of hours, Jessica, Emily, and Trina, each studied after given number of weeks. Part A one of the relationships between weeks and total hours studied is proportional. Whose number of total hours studied is proportional to the number of weeks studied ? For the proportional relationship, write an equation to represent y, the total number of hours studied, in terms of x, the number of weeks. Explain how u determined your equation. Pls help

Answers

Answer:Y times X = 5

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Refer to attached

Only column 3 - Trina's numbers represent proportional relationship

Equation for it is: y = 2.5x

Calculation is provided on the table

Any tricks on trigonometry

Answers

Answer:

Step-by-step explanation: Tip 1) Always Start from the More Complex Side.

Example Q1) Prove the identity tan⁴x = sec²x (tan²x-1)+1.

Tip 2) Express everything into Sine and Cosine.

Tip 3) Combine Terms into a Single Fraction.

Tip 4) Use Pythagorean Identities to transform between sin²x and cos²x.

Tip 5) Know when to Apply Double Angle Formula (DAF)

If a tree casts a 10 foot shadow at the same time that a yard stick casts a 2 foot shadow, find the height of the tree.

Answers

Answer:

is 12 feet

Step-by-step explanation:

I need points dude!

estimate the product

HELP! answer for brainlist

Answers

Answer: my estimate is 170.1

Step-by-step explanation: tell me if i'm right


Plot-1.4 on the number line below

Answers

I think you have to move the blue dot left at the very end

Evaluate: LWH if L = 0.5, W = 0.2, and H= 0.1

Answers

Answer:

0.01

Step-by-step explanation:

Replace the numbers with the variables

0.5*0.2*0.1

0.01

The evaluation of the given LWH is 0.01.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given the Parameters as;

L = 0.5, W = 0.2, and H= 0.1

Now to find the volume we are asked to calculate the LWH

Now Replace the numbers with the variables

LWH  = 0.5 x 0.2 x 0.1

LWH  = 0.01

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What is the equation of the line shown in the graph?​

Answers

Answer:

y=-3

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Help me. Two numbers have a sum of 30. Half of their difference is 7. Find the numbers.

Answers

Answer:

the answer is x equals 22 and y equals 8

Step-by-step explanation:

first equation is x+y=30

Second equation is x-y/2=7 that simplify's to x-y=14

then you add then so they will cancel out and you are left with 2x=44 so divide two by both sides which gives x=22

then you subsitute the 22 in the first equation. It will be 22+y=30 then you subtract 22 from the 30 that gives you y=8

so the two numbers are 22 and 8

Hope this helps!!!!

The numbers satisfying the given conditions are 22 and 8.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

Two numbers have a sum of 30. Half of their difference is 7.

We can write the equations as -

x + y = 30

1/2(x - y) = 7

Rearranging, we get -

y = - x + 30

y = x - 14

Plot the graph, the point of intersection is the solution. The number will be 22 and 8.

Alternatively

y = - x + 30

y = x - 14

Equating both, we get -

- x + 30 = x - 14

30 + 14 = 2x

2x = 44

x = 22

and

y = 22 - 14

y = 8

Therefore, the numbers satisfying the given conditions are 22 and 8.

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What is the slope of the line?
y - 3 = 5(x-2)

Answers

the answer would be m=5

Answer:

5

Step-by-step explanation:

To better see what the slope is (the coefficient of x), write it in slope-intercept form, y=mx+b. The slope-intercept form of [tex]y -3 = 5(x-2)[/tex] is [tex]y=5x-7[/tex].  The slope is the coefficient of x, which is 5.

Hope this helps! :)

Marla owes her sister $15. She pays her $6 today. Which integer represents the amount of debt she has remaining?

Answers

9
15 subtracted from 6 gives you 9

which one is greater 2.2,0.1,4.5,or 4

Answers

Answer:

4.5

Step-by-step explanation:

Guys pleeease help! I need help asap!

Answers

Answer:

10

Step-by-step explanation:

first time they spent 11

2nd time was 1 dollar less

since 1 burrito is 2 dollars 3 is 6

and the 4 tacost were 4 dollars

I might be wrong

Write an equation of a line that passes through the
point (-4, 5) and have a slope of 1/2

Answers

Answer:

y-5=1/2(x-(-4))

Step-by-step explanation:

equation of a st. line having slope m= ½ and passing through the point (x1,y1)

Answer: y=1/2x+7



Explanation:
Point-Slope= y-y1=m(x-x1)
Equation= y-5=1/2(x+4)
First, distribute 1/2 to each term in the parentheses, which is y-5=1/2x+2.
Next, add 5 to -5 to get y by itself and add 5 to 2. Your equation should now be y=1/2x+7.

Hope that helped and if you need help with anything else just ask me and I’ll try to help!!

By 2 2 1 S ut  at , where S is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time. Which equation represents a in terms of the other variables?

Answers

Answer:

Step-by-step explanation:

Given the equation  of motion;

S = ut + 1/2 at² where;

u is the initial velocity,

a is the acceleration, and;

t is the time.

We are to express a in terms of u, t and S

Making a the subject of the formula;

S = ut + 1/2 at²

S-ut = 1/2at²

2(S-ut) = at²

a = 2(S-ut)/t²

Hence the acceleration a in terms of other variables is expressed as a = 2(S-ut)/t²

In his science class, Ethan is using a microscope that enlarges objects to 100 times their actual size. If the length of a mosquito is 3.5 millimeters, what is the size as seen under the microscope

Answers

Answer:

350 millimeters

Step-by-step explanation:

3.5 millimeters x 100 = 350 millimeters

Which of the following rules represents the function shown in the table?

A.) f( n) = 3 n

B.) f( n) = n + 3

C.) f( n) = 1/3n

Answers

The answer is c please Lmk if this helps

Answer:

the answer is c !!! :)

Step-by-step explanation:

yeah, so period.

Which method best helps to prevent wind erosion?

rotating crops
decreasing riverbank slopes
more animal grazing
avoiding soil compaction

Answers

A. Rotating crops

Hope it helps

Answer:

a

Step-by-step explanation:

For every 3 girls in Mr Hegarty's class there are 2 boys. What is the ratio of girls to boys in the class?
Give your answer in its simplest form.

Answers

Answer:

3:2

Step-by-step explanation:

For every 3 girls : there is 2 boys, so it's 3:2

3:6 in simplest form=1:2

75% of the whole is 180. What's the whole?
.

Answers

Solution for What is 75 percent of 180:

75 percent *180 =

( 75:100)*180 =

( 75*180):100 =

13500:100 = 135

Now we have: 75 percent of 180 = 135

Question: What is 75 percent of 180?

Percentage solution with steps:

Step 1: Our output value is 180.

Step 2: We represent the unknown value with $x$x​.

Step 3: From step 1 above,$180=100\%$180=100%​.

Step 4: Similarly, $x=75\%$x=75%​.

Step 5: This results in a pair of simple equations:

$180=100\%(1)$180=100%(1)​.

$x=75\%(2)$x=75%(2)​.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have

$\frac{180}{x}=\frac{100\%}{75\%}$
180
x​=
100%
75%​​

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{180}=\frac{75}{100}$
x
180​=
75
100​​

$\Rightarrow x=135$⇒x=135​

Therefore, $75\%$75%​ of $180$180​ is $135$

Guys plssssssss! I want to spend time today and tomorrow with my fam before they go back to Washington

Answers

1. 16.6667% increase
2. 20% decrease
3. 66.6667% increase
4. $9450
5. $149.80
6. 238.50

Writing a Linear Function to Model a Scenario Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario?

Answers

Answer: y= 25+2.5x

Step-by-step explanation:

Let a = base pay , b = additional amount per newspaper.

Given: Last week, Pedro delivered 5 newspapers and earned $37.50.

i.e. 37.50=a+5b      (i)

This week, he delivered 20 newspapers and earned $75.

i.e. 75=a+20b         (ii)

Eliminate (i) from (ii)

37.50=15b

[tex]\Rightarrow\ b=\dfrac{37.50}{15}\\\\\Rightarrow\ b=2.5[/tex], i.e. additional amount per newspaper= $2.5

Put b= 2.5 in (i)

[tex]37.50=a+5(2.5)\\\\\Rightarrow\ 37.50=a+12.5\\\\\Rightarrow\ a=37.50-12.5\\\\\Rightarrow\ a=25[/tex], i.e. base pay = $20

Let x= Number of newspapers Pedro delivers.

y=  Earnings he receives in dollars.

y= 25+2.5x will be the required function.

solve for x.


7x/2+5=8

Answers

Answer:

x=6/7

Step-by-step explanation:

7x÷2+5=8

divide by 2 on both sides:

7x/2+5=8(it's a fraction)

subtract 5 on both sides

7x÷2=3

multiply 2 on both sides

7x=6

divide by seven on both sides

x=6/7

hope this was helpful and the instructions were clear enough!

Round the number to the place of the underlined digit. 4.327

Answers

Answer:

Tenths -- 4.3

Hundredths -- 4.33

Thousandths -- 4.327

Ones -- 4

Step-by-step explanation:

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