Answer:
3/4
Step-by-step explanation:
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
A student evaluated −4 + (−9 1/2) and got an answer of 5 1/2. What might the student have done wrong?
Answer:
Never converted -9 1/2 into an improper fractionAdded the two numbers together instead of subtractedI hope this helps!
Joshua's cousin pledged $12 for a charity walk. If Joshua walked 3 miles, how much did his cousin pay per mile?
Answer:
$4
Step-by-step explanation:
Please help!!!
I will give brilliance!!
Answer:
15
Step-by-step explanation:
sqrt 230 = 15.165...
What is an equation of the line that passes through the points (-2,-5) and (4,7)
Answer:
y=2x-1
Step-by-step explanation:
the other person is wrong
Perform the indicated operation.
4/11 ÷ 4/9
a. 1 2/9
b. 16/99
c. 9/11
please explain how to do it as well xc
12. ROS
CALCULATE THE ARC
LENGTH. ROUND TO THE
NEAREST TENTH.
180
63 11
IQ
S
Answer:
576.97
Squared
Find the slope passes through (-5,2) and (3,3)
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:
anty: Word problems LLV
Questions
answered
You have prizes to reveall Go to your game board. X
Oakland is hosting a city-wide arts festival at which vendors can pay to have a small booth or
a large booth. The fee for a small booth is $31, whereas the fee for a large booth is $87. The
city hopes to receive at least $2,300 in fees.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
10
Time
elapsed
x = the number of small booths
26
00 12
HRIN
y = the number of large booths
SmartScore
out of 100
31 + x + 87 + y 2 2,300
50
87x + 31y 2 2,300
31x + 87y 2 2,300
87 + x + 31 + y 2 2,300
Sign out
Answer:
Step-by-step explanation:
Coco butter
A parking garage charges a 3.50$ 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!
10.
There are estimated 255 births every minute of every day. How many babies are born in the
world each hour?
255
6,120
12,250
15,300
Answer:
15,300
Step-by-step explanation:
multiply the estimated total number of births (255)
times 60 because there is 60 minutes in an hour
255*60= 15,300
Answer:
15,300
Step-by-step explanation:
1 hour: 60 minutes
60 x 255 = 15,300
PLZ HELP ME! What is this! I need help! y = -3x/5 + 2
Answer:
That is the slope intercept form
Step-by-step explanation:
Find an equation of a line that is parallel to y = 4x + 5 and goes through the point (-1, 3)\
Answer:
y = 4 x + 7
Step-by-step explanation:
could someone help me out with this problem I'm not that great at math
Answer:
Obtuse.
Step-by-step explanation:
The double number line shows that 4 bottled of water cost 20 dollars at a music
What is the slope on this graph PLEASE HELP FAST!!!
Answer:
slope = 6
Step-by-step explanation:
slope = rise/run
rise = 12 run = 2
what is the answer of 3x-5>1/2x+8x?
Answer:
x < -10/11
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 expression is equivalent to: 100
Answer:
10 x 10, 2 x 50
Step-by-step explanation:
If the measure of ∠2 is 83°, what is the measure of ∠3?
Answer:
97 degress
Step-by-step explanation:
2 and 3 form a supplementary angle, meaning the sum of their angles should equal 180.
The measure of ∠3 is 97°.
What are supplementary angles?If two angles add up to 180 degrees, they are considered supplementary angles. When combined, supplementary angles form a straight angle of 180 degrees. In other words, if Angle 1 + Angle 2 equals 180 degrees, angles 1 and 2 are added together. Angles 1 and 2 are referred to as "supplements" of one another in this instance.
Given two lines intersect and form angles
∠1, ∠2, ∠3, ∠4
and ∠2 = 83°
here ∠2 and ∠3 form supplementary angles,
them ∠2 + ∠3 = 180°
83 + ∠3 = 180
∠3 = 180 - 83
∠3 = 97°
Hence measure of ∠3 is 97°.
Learn more about supplementary angles;
https://brainly.com/question/13045673
#SPJ2
Which relation is a function?
Answer: B
Step-by-step explanation:
Evaluate the expression, -1 x (-0.1 x -5 + 0.5)
Answer:
-1
Step-by-step explanation:
-1 x (-0.1 x -5 + 0.5)
= -1 x 1
= -1
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:
You might need
4.
3
2
1
-4 -3
-2
-1
1
2
CAS
3
4
-1-
1
-2
-3
-4+
What is the slope of the line?
Answer:
1
Step-by-step explanation:
A music player app has 2 gigabytes of storage and can hold about 500 songs. A similar, but larger app has 80
gigabytes of storage. About how many songs can the larger app hold?
Answer:
40,000 songs, I think
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:
Please answer this question
Answer:
if it is a square, then it must be a quadrilateral
what -45 divided by 75
Answer:
-0.6
Step-by-step explanation:
The answer is negative because -45 was a negative number.
I didn't explain that very well :|
Hope I helped :)
Can I get Brainliest anyway, even though I did a terrible job explaining? .-.
PLZ ANSWER URGENT
A).1+ 4x+2/2x=5x
b).2x-2+3x/4=2x
A.
Divide the numbers
1 + 4x 2/2 • x =5x
1 + 4x + 1x =5x
Multiply by 1
1 + 4x + 1x=5x
Combine like terms
1 + 4x + x =5x
1 + 5x =5x
Subtract 1 from both sides of the equation
5x + 1 = 5x
5x + 1 - 1 =5x -1
Simplify
Subtract the numbers
5x = 5x -1
Subtract 5x from both sides of the equation
5x = 5x -1
5x - 5x = 5x -1 -5x
Simplify
0= -1
Result
0= -1
idk the ans in letter B