Answer:
0.3
Step-by-step explanation:
10 x 0.03 = 0.3
A rock is tossed vertically from a height of 2m with an initial velocity of 20 ms-1. The height of the rock, h, after t seconds can be modeled by the polynomial function :h(t)=−4.9t2+20t+2, t≥0. Calculate how many seconds, rounded to three significant figures, it takes for the rock to hit the ground.
Answer:
The rock takes 4.18 seconds to hit the ground
Step-by-step explanation:
Function Model
The height of a rock h, after t seconds, can be modeled by the polynomial function:
[tex]h(t)=-4.9t^2+20t+2, t\geq 0[/tex]
When the rock hits the ground, the height is 0, thus we need to find the value of t such as:
[tex]-4.9t^2+20t+2=0[/tex]
A quadratic equation can be expressed as:
[tex]at^2+bt+c=0[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The values for the given equation are:
a=-4.9, b=20, c=2
Applying the formula:
[tex]\displaystyle t=\frac{-20\pm \sqrt{20^2-4(-4.9)(2)}}{2(-4.9)}[/tex]
[tex]\displaystyle t=\frac{-20\pm \sqrt{400+39.2}}{-9.8}[/tex]
[tex]\displaystyle t=\frac{-20\pm 20.957}{-9.8}[/tex]
There are two possible solutions:
[tex]\displaystyle t=\frac{-20- 20.957}{-9.8}=4.18[/tex]
[tex]\displaystyle t=\frac{-20+ 20.957}{-9.8}=-0.1[/tex]
Since t > 0, the only solution is t=4.19 seconds
The rock takes 4.18 seconds to hit the ground
The slope of the line in Problem 3 was (-2, -3) to write an equation of the line in point-slope form.
Answer:
solve this example and then you will know how to solve your question
Step-by-step explanation:
Example of one**-
Explanation:The equation of a line in
point-slope form is.
where m represents the slope and (x1,y1)
a point on the line
here m=5 and
y+1=5(x+2)
(x1,y1)=(−2,−1)⇒
y−(−1)=5(x−)(−2)⇒y+1=5(x+2)
is equation in point-slope form
distributing and collecting like terms gives another version of the equation.
y+1=5x+10⇒y=5x-9←
in slope-intercept form
In the photo which one?
Answer:
The variable terms on each side WILL NOT BE IDENTICAL.
Step-by-step explanation:
Solve each system by elimination: -7x-6y=4 -3x+2y=20
Answer:
Step-by-step explanation:
-7x - 6y = 4
-9x + 6y = 60
-16x = 64
x = -4
-3(-4)+2y=20
12+2y=20
2y=8
y =4
(-4,4)
i need this this fast!! please
Answer:
last one
Step-by-step explanation:
can someone help out with this please? (i just put a random answer) but can someone help me out with the actual answer and explain how it’s the answer?
Answer:
distribute on each side is correct :)
What is the y-intercept of the line shown? (4 points) A. 3/4 B.2 C. 3 D.4a
Answer:
D.4
Step-by-step explanation:
The y-intercept is where the line crosses the y-axis. This line crosses the y-axis at 4, or the point (0,4) so the y-intercept would be 4.
A rectangular table top needs to be divided into six equal sections. Suppose that you are only able to determine the halfway mark between any interval. Explain how you would use these benchmarks to estimate 1/6 of the length of the table top.
Answer:
yes
Step-by-step explanation:
Passes through (-2, 6) with a slope of -1/4.
Which relation is a function?
Answer:
bottom right graph
Step-by-step explanation:
The double number line shows that 4 bottled of water cost 20 dollars at a music
Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.
The amount of liquid that would fill a test tube
The amount of mouthwash that would fill a travel-sized container
The amount of coffee that would fill a thermos
The amount of liquid that would fill a test tube: milliliters (it is usually a small amount and used for precise measurements)
The amount of mouthwash that would fill a travel-sized container: milliliters (again, a small amount)
The amount of coffee that would fill a thermos: liters (a large amount, used for drinking)
If b = 3, then b ^-2 is equivalent to ... please help fast lol I’m in a test
Answer:1/9
Step-by-step explanation:
Which Expression has a value of 2/3
Answer:
(8 + 24) ÷ (12 x 4)
Step-by-step explanation:
Which relation is a function?
Answer: B
Step-by-step explanation:
A basketball player is 90 inches tall. A model is created of the player using a scale factor of 1:20. How tall is the model in inches?
Answer:
4.5
Step-by-step explanation:
Answer:
The answer is 1:16
There are about 4,000,000 students attending school, kindergarten through Grade 12, in New York. The average number of students attending a middle school in New York is 8 x 10^2. Approximately how many times greater is the overall number of K–12 students compared to the average number of middle school students?
Question 1 options:
A. 200,000,000 times greater
B. 2,000,000 times greater
C. 50,000,000 times greater
D. 5,000 times greater
Answer:
C
Step-by-step explanation:
big number
Answer:
D
Step by step explanation:
08*10^2=800
4,000,000/800=5,000
Which of the following statements is not true about the relationship
Answer:
C
Step-by-step explanation:
3х – 10 y = 14 3х - 9y = 15
Answer:
{x,y}={8,1}Step-by-step explanation: i just looked it up
(4+5)(4-51) =
please help i don’t feel like doing math rn
Answer:
423
Step-by-step explanation:
Answer:
-423
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Will mark you brainliest!!!!
It’s basically asking to write the missing numbers by looking for the pattern to describe how the tenth and hundredths change
Step-by-step explanation:
i not understand your questions
How do I solve permutations and combinations?
Answer:
by formulas . you can solve permutations and combinations by formulas .
1/8 to decimal and
10/11 to decimal
Answer:
Step-by-step explanation:
1
Answer: 1 divided by 8= 0.125
10 divided by 11= 0.90^
Step-by-step explanation:
your grocery bill before taxes was $265.24 you have to pay 7.3% sales tax how much is your total grocery bill
Answer:
301.57
Step-by-step explanation:
I think this is it. I divided the total before taxes by the percentage and added what I got from the division to the total before taxes.
Answer:
Step-by-step explanation:
Use one or more transformations to transform the pre-image (purple) onto the image (white).
Translate Rotate
* Reflect
(You cant tpuch the grey lines )
Answer: This is a translation of 12 units to the right.
translation written (x,y) -> (x+12,y+0)
Step-by-step explanation:
Pick a point on the pre-image, and count how many squares it has to move to end up at the corresponding point in the image.
Add that value to the coordinate x for horizontal movement, here +12.
Add to the coordinate y for vertical movement. here 0.
Two students are solving the same problem: At a hardware store, they can cut a length of rope off of a big roll, so you can buy any length you like. The cost for 6 feet of rope is $7.50. How much would you pay for 50 feet of rope, at this rate?
Answer: 62.5
Step-by-step explanation:
if you multiply 1.25 x 50 = 62.5
(in the problem you may have been given a chart if not look below for the problem also i’m sorry if it doesn’t make sense lol)
[6 above 1 under 50] - [1.75 under 1.25]
[using 1.25 x 50 you get your answer 62.5)
Please help! A line has a slope of -2 and a y-intercept of -3. Graph the line using the slope and y-intercept. Which of the following points lie on this same line? Check all that apply.
Answer:
2. -1.5, 0
3. -6, 9
5. 3, -9
Step-by-step explanation:
Given parameters:
Slope = -2
y - intercept = -3
Unknown:
The point that lies on the line = ?
Solution:
To do the equation of the line,
y = mx + c
y and x are the coordinates
m is the slope
c is the y -intercept
Input the parameters:
y= -2x -3
The points that lie on the line will conform with the equation:
y + 2x = -3
1. -2, 0
y = 0 and x = -2
0 + (-2)2 = -4
2. -1.5, 0
y = 0 and x = -1.5
0 + 2(-1.5) = -3
3. -6, 9
y = 9, x = -6
9 + 2(-6) = 9 - 12 = -3
4. 2, -3
y = -3 and x = 2
-3 + 2(2) = -3 + 4 = 1
5. 3, -9
y = -9, x = 3
-9 + 2(3) = -9 + 6 = -3
6. -4, 4
y = 4 , x - 4
4 + 2(-4) = 4 - 8 = -4
The boldened coordinates line on the same line.
9. Find the slope represented in the table
below. Show all work.
Х
y
7
-30
11
-54
13
-66
20
- 108
Answer:bruh I’m still tryna figure this out
Step-by-step explanation:
Which of the following is the solution to the equation t/3 = -9
Your family needs a set of 4 tires. Which of the following deals would you prefer? Complete the explanation below to tell which deal(s) would be better.
(I) Buy 2, get two free (II) 45% off (III) 1/2off
The best deal would be either .
Either case would result in a discount of %,
which is better than the other alternative of %.
PLZ ANSWER ASAP!
Answer
Buy 2, get 2 free and/or 1/2 off
Step-by-step explanation:
OK, lets say that the tire price was 15. (l)= 15+15=30 (ll)= 15/45%= 33.33x4=133.32 (lll)= 15/2=7.5 7.5x4=30