Answer:
6.532 x 10^-9
Step-by-step:
1. 0.000000006532
2. move the decimal to where the first number is greater than or equal to 1 and less than 10. In this case we move the decimal to the right 9 times. You will get 6.532
3. We moved the decimal to the right meaning the power to 10 would be a negative number. The number is how many times we moved the decimal by 1 spot, in this problem we moved it 9 times. 6.532 x 10^-9 is what you should get for scientific notation
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
Which of the following is the solution to the equation t/3 = -9
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.
simplify 1+3(4n+6) please help I hate this
Answer: 19 + 12n
Step-by-step explanation: 1 + 3(4n + 6)
1 + 12n + 18
19 + 12 n
3х – 10 y = 14 3х - 9y = 15
Answer:
{x,y}={8,1}Step-by-step explanation: i just looked it up
What is the value of the function at x=−2?
y=−2
y = 0
y = 2
y = 3
GRAPH ATTACHED
Answer:
y = 2
Step-by-step explanation:
When we have graph is given also one value from x and y is given then for finding the other value, We simply see the line where x = -2 is graphed and then we will see what is the value of y there.
Find the slope passes through (-5,2) and (3,3)
Which of the following statements is not true about the relationship
Answer:
C
Step-by-step explanation:
Can someone please help me solve this -6(r+3g-t)
Answer:
-6r-18g+6t
Step-by-step explanation:
Answer:
18g−6r+6t
PLEASE GIVE BRAINLIEST I EVEN EXPLAINED IT
Step-by-step explanation:
−6(r+3g−t)
=(−6)(r+3g+−t)
=(−6)(r)+(−6)(3g)+(−6)(−t)
=−6r−18g+6t
=−18g−6r+6t
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)
A parking garage charges a 3.50$ base fee plus an hourly rate of 7.00$. If you have at most 21.50$ to pay for parking, how long can you park?
Answer:
You get a total of two hours of parking.
Step-by-step explanation:
First, you subtract the base fee of $3.50, which gives you $18.00. Then you subtract as many sevens there are in 18, which is two. And then your answer is shown, as two. Hope this helps!
Please answer this question
Answer:
if it is a square, then it must be a quadrilateral
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:
How do I solve permutations and combinations?
Answer:
by formulas . you can solve permutations and combinations by formulas .
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
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 :)
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:
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
Passes through (-2, 6) with a slope of -1/4.
Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.
The equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis is y=0x+7 or y=7.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
As it is needed that the line must be perpendicular to the y-axis, therefore, the slope of the line will be 0 and the value of y will be 0. Also, it is given that the line passes through (4, 7). Therefore, the equation in slope-intercept form for the line is,
y = mx + c
7 = 0(4) + c
c = 7
Hence, the equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis is y=0x+7 or y=7.
Learn more about Equation of Line:
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what is the answer of 3x-5>1/2x+8x?
Answer:
x < -10/11
Step-by-step explanation:
The double number line shows that 4 bottled of water cost 20 dollars at a music
In the photo which one?
Answer:
The variable terms on each side WILL NOT BE IDENTICAL.
Step-by-step explanation:
At Teen Tops, a package of 5 T-shirts costs $38. At
Bargain City, a package of 4 T-shirts costs $34. Which
statement is the most accurate?
A. Bargain City is the better buy because it sells T-shirts at $8.50 per T-Shirt
B. Teen Tops is the better buy because the packages has more T-shirts
C. Bargain City is the better buy because $34 is less than $38
D. Teen Tops is the better buy because it sells T-shirts at $7.60 per T-shirt
Answer:
D
Step-by-step explanation:
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:
Write the equation of the line through the points (-6, -19) and (2,5).
Answer:
m = 7/2 y = 7/2x + b
Step-by-step explanation:
Which Expression has a value of 2/3
Answer:
(8 + 24) ÷ (12 x 4)
Step-by-step explanation:
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:
Which relation is a function?
Answer: B
Step-by-step explanation:
i need this this fast!! please
Answer:
last one
Step-by-step explanation: