Answer:
Step-by-step explanation:
(x+5)(x+2)/(x+5)= x+2 is the with
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
what is the answer of 3x-5>1/2x+8x?
Answer:
x < -10/11
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:
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
PLZ HELP ME! What is this! I need help! y = -3x/5 + 2
Answer:
That is the slope intercept form
Step-by-step explanation:
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
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:
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:
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 :)
could someone help me out with this problem I'm not that great at math
Answer:
Obtuse.
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:
Pam wants to make a new banner for the school in the parking lot. If her banner starts at 3 feet tall and 4 feet wide; and she wants to enlarge it by a factor of 7, what are her final measurements
Answer:
21 feet tall and 28 feet wide
Step-by-step explanation:
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
These two triangles are similar figures solve for the missing side length x
Answer:
x=5
Step-by-step explanation:
3/12 and x/20
cross multiply
12x=60
60/12=5
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
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 $2,300 in fees.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
10
Time
elapsed
x = the number of small booths
26
00 12
HRIN
y = the number of large booths
SmartScore
out of 100
31 + x + 87 + y 2 2,300
50
87x + 31y 2 2,300
31x + 87y 2 2,300
87 + x + 31 + y 2 2,300
Sign out
Answer:
Step-by-step explanation:
Coco butter
Please I will give 5 points
Answer:B
Step-by-step explanation:
Find an equation of a line that is parallel to y = 4x + 5 and goes through the point (-1, 3)\
Answer:
y = 4 x + 7
Step-by-step explanation:
Please help!!!
I will give brilliance!!
Answer:
15
Step-by-step explanation:
sqrt 230 = 15.165...
A parking garage charges a 3.50$ 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!
Find the slope passes through (-5,2) and (3,3)
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
Please answer this question
Answer:
if it is a square, then it must be a quadrilateral
What expression is equivalent to: 100
Answer:
10 x 10, 2 x 50
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:
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;
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12. ROS
CALCULATE THE ARC
LENGTH. ROUND TO THE
NEAREST TENTH.
180
63 11
IQ
S
Answer:
576.97
Squared
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: