A small toy rocket is launched from a 24-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula
h = - 2t^2+ 2t + 24.
How long will it take the rocket to hit the
ground?

Answers

Answer 1

Answer:

4 seconds

Step-by-step explanation:

Since we want to know the time when the height is 0, we can rewrite the problem as [tex]0=-2t^2+2t+24[/tex]. From there, we can plug it into the quadratic formula, which gives us [tex]\frac{-2-\sqrt{4-4(-2)(24)} }{2(-2)}[/tex](Since it's a real-world problem and we have a negative denominator, we won't be using the positive square root). We simplify this to get [tex]\frac{-2-\sqrt{196} }{-4}[/tex], then [tex]\frac{-2-14}{-4}[/tex]. Finally, we can calculate this to be 4 seconds.


Related Questions

Please somebody help me with this

Answers

Answer: call 911

Step-by-step explanation: call 911

3x+1


If your kinda a math nerd you will understand this one

Answers

Answer:

If you equal it to zero (3x+1=0) it will be x= 1/3

Step-by-step explanation:

Subract the 1 over to the 0 then divide the 3 over.

Help me out please???

Answers

Answer:

5

Step-by-step explanation:

The interquartile range is Q3-Q1.

in this problem, Q3=7 and Q1=2

Fill in the blank with the correct factor, dividend, divisor or product to complete the number sentence correctly. ____ divided by 1.5 = (-6)

Answers

Answer:

the answer is negative nine

You can solve this equation easily if you understand that to find the answer you have to do the opposite sign of the question. Multiply 1.5 by -6 and that should give you -9. From there plug in -9/1.5= -6 and you should get -6

Multiply and write in standard form:
(2x)(x^2 - 6x + 3)
Show all work for full credit.

Answers

2x(x2-6x+3)

4x^3-12x^2+6x

The variables x and y vary directly. Given the model y = -2x , find the value of x when
y = -16.
a. 8
32
b. 16
d. 64
C.

Answers

The answer is A. 8

Hope this helped

Answer:

a.8

Step-by-step explanation:

y=-16

-16=-2x

16=2x

x=16/2=8

10,260 words/minute = words/second

Answers

Answer:

171

Step-by-step explanation:

How do I multiply minted numbers? Please explain step by step to get marked as brainliest

Answers

Answer:

Step-by-step explanation:

A bookstore had 25 copies of a magazine. Yesterday the bookstore sold 3/5 of these coples. How many copies were sold yesterday?

Answers

Answer:

15

Step-by-step explanation:

25/5 = 5.

3 x 5 / 5+5+5 = 15

15/25 = 3/5

78300 rounded to the nearest hundred HELP 100 POINTS
A 78346
B78273
C78251
D78389
E78249

Answers

Answer:

Its 78,300

Step-by-step explanation:

A tire company paid $4,992 for 64 tires. Which is the most reasonable estimate for the cost of each tire?

Answers

$78 for each tire
4,992 divided by 64 is 78

Please answer
2x^2+7x+3=0

Answers

Answer:

x+-(1)/(2),-3

Step-by-step explanation:

Thank you:)

7 1/2 divided by 2 1/2

Answers

Answer:

3

Step-by-step explanation:

Given ω=[tex]\frac{3-2i}{5-6i}[/tex] , find ω in the a+bi form.

Answers

Answer:

Solution is given in the photo

Use long division to solve 38 divided by 4

Answers

If you know how to set up the format for long division, the answer is 9.5 because 4 goes into 3 zero times, and you don't necessarily need to write down the zero on top since it equals nothing in a whole number. then, 4 goes into 38 nine times. (yes 38 because you didn't do anything with the 3 so you just make it 38) 4 × 9 = 36. it doesn't exactly make 38, so you take away 36 from 38 and you are left with a remainder of 2. then to get no remainder, add a zero to the end of 38. so it would look something like 4/380 so you take down the zero next to the 2 so it makes 20, 4 × 5 = 20 and you are left with a remainder of 0 and the answer: 9.5 ( P.S.: added the decimal because it wasn't exactly equal when doing 4 × 9 so we had to add a zero)

4/7 + (-6/7) Find the sum. Write fractions in simplest form.

Answers

Answer:

i dont know sorry do u know

Work out the highest common factor (HCF) of 180 and 240

Answers

If I am correct, I believe that it is 60

someone pleaseeee answer!!!

Answers

Answer:

6.633

Step-by-step explanation:

on a triangle with angle measures of 30, 60, 90, the shortest side will be 'x', second longest will be 'x times square root of 3' and hypotenuse will be '2x'.

in this problem, x is the hypotenuse and x= square root of 11. sorry my explanation sucks. basically, 2× square root 11 = 6.633. again. sorry i made no sense.

HELPPPPPPPPLSSSSS FASTTTUTS A TEST

Answers

Here, angle BGD is represent by 2.Here, the angle between BD and GD is 2. So, it is 2.

Hope you could get an idea from here.

Doubt clarification - use comment section.

calculate the quotient below and give your answer in scientific notation

Answers

Answer:

the answer is 95

The sum of the angles of a triangle is 180 degrees. The second angle is 40 degrees more than the first
angle and the third angle is 5 times the measure of the first angle. What is the measure of the largest
angle?

Answers

Answer:

100⁰

Step-by-step explanation:

Let,

First angle = x

Second angle = x + 40

Third angle = 5x

=> x + x + 40 + 5x = 180

=> 7x + 40 = 180

=> 7x = 180 - 40

=> 7x = 140

=> x = 140/7

=> x = 20

Largest angle = 5x = 5(20) = 100⁰

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

First angle = x

Second angle = x + 40

Third angle = 5x

[tex]:\implies\bf{x + x + 40 + 5x = 180} \\ \\ :\implies\bf{7x + 40 = 180} \\ \\ :\implies\bf{7x = 180 - 40} \\ \\ :\implies\bf{7x = 140} \\ \\ :\implies\bf{x = \frac{140}{7} } \\ \\ :\implies\bf{x = 20}[/tex]

The largest angle above is 5x thus,

[tex]:\implies\bf{5x} \\ \\ :\implies\bf{5 \times 20} \\ \\ :\implies\bf{100^°}[/tex]

In the equation 9.55 1.10 = 10.505, what are the factors? A. 9.55 and 10.505 C. 9.55 and 10.505 B. 1.10 and 10.505 D. 9.55 and 1.10​

Answers

Answer:

D. 9.55 and 1.10​

Step-by-step explanation:

9.55*1.10=10.505

Then the factors are 9.55 and 1.10​

This is because factors are what makes the product so 9.55 times 1.10​ is 10.505

So D. 9.55 and 1.10​ is correct

Hope this helps!

Alexa spins a spinner that is divided into 6 equally sections: 2 red, 1 green, and 3 blue. What is the probability that Alexa spins a red or green?

Answers

Answer:

probability = 1/2 or 50%

Step-by-step explanation:

number of red + number of green = 2 + 1 = 3

Probability of landing on a red or green = 3/6 = 1/2

Red

Step-by-step explanation:Red

The equation \sqrt{6-y^2}=x
6−y
2


=x is a function of yy."

Answers

Equations are used to represent functions, and vice versa.

The equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]

The function is given as:

[tex]\sqrt{6-y^2}=x[/tex]

Square both sides

[tex]6-y^2=x^2[/tex]

Subtract 6 from both sides

[tex]-y^2=x^2 - 6[/tex]

Multiply both sides by -1

[tex]y^2=6 - x^2[/tex]

Take square root of both sides

[tex]y=\sqrt{6 - x^2[/tex]

Express as a function

[tex]f(x) = \sqrt{6- x^2[/tex]

Hence, the equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]

Read more about functions and equations at:

https://brainly.com/question/13336451

A pair of shoes are on sale for 60% off. The shoes cost $110 before the sale. How much money will you save after the sale?

Answers

answer: 60 × 100 = 600

Step-by-step explanation:

Answer:

$66

Step-by-step explanation:

Money saved after sale= 60% of $110

= 60/100 ×$110

= $66

Dylan is knitting a scarf, and he wants the final product to be 4 inches wide and 63 inches long. Each skein of yarn will knit a rectangle that is 4 inches by 9 inches. How many skeins should Dylan buy?

Answers

Answer:

7

Step-by-step explanation:

63 / 9 = 7

Which numbered choice shows a set of numbers whose product is -20 and whose sum is +1?

Answers

5 and -4 are the numbers

Functions
Acellus
Find the equation of this line.
[?]
-x+ []
y =
Simplify the fractional part.

Answers

Answer:

y = -2/5 x +1

Step-by-step explanation:

We know two points on the line (-5,3) and ( 5,-1)

We  can find the slope using the slope formula

m = ( y2-y1)/ (x2-x1)

m = ( -1 -3)/( 5- -5)

   = (-1-3)/ (-5+5)

  -4/10

 =-2/5

Using the slope intercept form of the the lint

y = mx+b  where m is the slope and b is the y intercept

y = -2/5 x+b

Using one of the point and substitute in for x and y

3 = -2/5 (-5) +b

3 = 2 +b

1 = b

y = -2/5 x +1

The equation of the line passes through the points (0, 1) and (5, -1) will be;

[tex]y = - \dfrac{2}{5}x + 1[/tex]

The equation of a line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, 1) and (5, -1).

Now,

Since, The equation of line passes through the points (0, 1) and (5, -1).

So, We need to find the slope of the line.

Hence, the Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - 1) / (5 - 0)

m = - 2 / 5

Thus, The equation of the line with slope - 2/5 is,

[tex]y - 1 = - \dfrac{2}{5} (x - 0)[/tex]

[tex]y - 1 = - \dfrac{2}{5}x[/tex]

[tex]y = - \dfrac{2}{5}x + 1[/tex]

Therefore, The equation of a line is [tex]y = - \dfrac{2}{5}x + 1[/tex].

To learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ3

A savings account starts with $2,200. The total amount after 18 months was $2563. What is the annual interest
rate?

Answers

Answer:

11%

Step-by-step explanation:

Lieutenant James made an average of 3 arrests per week for 4 weeks. How many arrests does she need to make in the fifth week to raise her average to 4 arrests per week?

Answers

Answer:

5

Step-by-step explanation:

We want the average arrests to be 4. It can be done by calculating the average between the average arrests and arrests during the 5th week, so we get:

Avg(1,2,3,4,5) = (Avg(1,2,3,4) + A(5)) / 2

Where Avg(x) is the average of arrests in given weeks, and A(x) is the number of arrests in a given week.

Solving for A(5) => A(5) = 2*Avg(1,2,3,4,5) - Avg(1,2,3,4) = 2 * 4 - 3 = 8-3 = 5

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