Answer:
-3/7
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
What expression is equivalent to: 100
Answer:
10 x 10, 2 x 50
Step-by-step explanation:
what is the constant of proportionality of p=5a
Answer:
=5x
Step-by-step explanation:
your question might have a different variable witch is the letter at the end
Passes through (-2, 6) with a slope of -1/4.
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
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:
A contractor purchases ceramic tile to remodel a kitchen floor. Each tile cost $4 and the adhesive/grouting material costs $17.82. If the contractor pays a total of $545.82 how many ceramic tiles did the contractor purchase
Answer:
132 tiles
Step-by-step explanation:
Each tile cost $4
The adhesive/grouting material costs $17.82.
If the contractor pays a total of $545.82
Let the number of tiles be represented as x
The equation is represented as:
$17.82 + $4 × x = $545.82
17.82 + 4x = 545.82
Collect like terms
4x = 545.82 - 17.82
4x = 528
Divide bother sides by 4
4x/4 = 528/4
x = 132
The number of ceramic tiles the contractor bought = 132 tiles
Find the y-intercept of the equation y = -0.5x - 3
Answer: -3
Step-by-step explanation: When you graph this that’s what you get
Answer:
-3
Step-by-step explanation:
the y intercept is when x is 0 on the graph. Since you know x has to be zero, you can substitute x for 0 in the equation:
y = -0.5x0 -3
Now you can ignore that first part of the equation because it equates to 0, and so you get:
y= 0 - 3
which equals:
y=-3
choose 3 decimals that are greater than 1⁄2, but less than 1
Answer:
0.6 ; 0.7 ; 0.8
Step-by-step explanation:
Change all numbers given to decimals:
1/2 = 0.5
1 = 1.0
Any number that fits x in 0.5 < x < 1.0 is your answer.
Answer choices:
0.6
0.7
0.8
etc.
~
Answer:
0.6, 0.7, 0.8, 0.9
Step-by-step explanation:
1/2 is 0.5 in decimal form. So, decimals that are greater than 0.5 but less than 1 are:
0.6, 0.7, 0.8, and 0.9 etc.
x+7<13.
^^^^^ answer please & show work .
Step-by-step explanation:
Which description could be written as a linear function?
a) eight more than twice a number
b) three more than the product of two numbers
c) ten more than the square of a number
d) nine more than one divided by a number
Question:
Which description could be written as a linear function?
Answer:
Option a)
Explanation:
Let 2 numbers be x1 and x2.
For the first option:
Eight more than twice a number.
The graph would be y = 8 + 2x1 which is a linear function.
For the second option:
Three more than the product of two numbers.
The graph would be y = 3 + x1x2 which is a graph function.
For the third option:
Ten more than the square of a number.
The graph would be y = 9 + (x1)² which is a graph function.
For the fourth option:
Nine more than one divided by a number.
The graph would be y = 9 + 1/x1 which is a double-parabole function.
Hopefully this answer will help you.
Answer: option a
Step-by-step explanation:
Just took the test
find the exact values of the following, giving your answers as fractions.
Giving brainliest to the first person to get all right :)
Answer:
Step-by-step explanation:
The rule for making a negative exponent positive is to take whatever the negative variable is on and put it under a 1.
[tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]
Do that for the next 2:
[tex]4^{-3}=\frac{1}{4^3}=\frac{1}{64}[/tex]
and
[tex]2^{-6}=\frac{1}{2^6}=\frac{1}{64}[/tex]
Figure B is a scaled copy of Figure A. Select all of the statements that must be true:
Figure B is larger than Figure A.
Figure B has the same number of edges as Figure A.
Figure B has the same perimeter as Figure A.
Figure B has the same number of angles as Figure A.
Figure B has angles with the same measures as Figure A.
Item at position 2
ANSWER QUICKLY PLEASE
Answer:
Same number of edges
Same number of angles
Angles woth same measures
Can someone help with this?
Answer:
B
Step-by-step explanation:
Because it has to be less than or no more than $100
Answer:
8=D
Step-by-step explanation:
Which of the binomials below is a factor of this Torinomial? X2 + 12x + 32
x2+12x+32
Factor out 2 from the expression
2(x+6x+16)
Collect like terms
2(7x+16)
Now we do the same thing only different way ok
x+6x
If a term doesn't have a coefficient , it is considered that the coefficient is 1
1x+6x
Collect like terms by adding their coefficients
(1+6)x
Add the numbers
7x
1+6=7
To add the numbers using a number line, start from zero.
Since 1 is positive, move the point 1 unit to the right.
Since 6 is positive, move the point 6 units to the right
The result is 7
Answer : 2(7x+16)
That's it . Hope it wasn't too hard to understand?
Please give me as brainliest
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
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 relation is a function?
Answer: B
Step-by-step explanation:
The double number line shows that 4 bottled of water cost 20 dollars at a music
The third-grade teachers had a pizza party. They ordered 11 large pizzas and each pizza had 8 slices. There were 4 classrooms in the grade.
whats the question you only stated the problem
Answer:Not exactly sure what the question is but...
Step-by-step explanation:There would be 88 slices so each classroom would get 22 slices.
Hope this helps
-c + 5d + 7c - 11d + d - 3c
Answer:
3c-5d
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:
what is 1/2- 1 and 1/5
Answer:
-0.7 is the answer to your question
Answer:
Answer:
-0.7 is the answer to your question
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
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:
12. ROS
CALCULATE THE ARC
LENGTH. ROUND TO THE
NEAREST TENTH.
180
63 11
IQ
S
Answer:
576.97
Squared
What is the slope on this graph PLEASE HELP FAST!!!
Answer:
slope = 6
Step-by-step explanation:
slope = rise/run
rise = 12 run = 2
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:
what is the slope of the line that goes through the points (2,-1) and (6,1)
Answer: The slope is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
1. You set up your Slope Formula [tex]M=\frac{y2-y1}{x2-x1}[/tex].
2. Substitue your points into the formula.[tex]M=\frac{1--1}{6-2}[/tex].
3. Once you substitute, you will solve the equation[tex]M=\frac{2}{4}[/tex].
4. Simplify the equation if you have to [tex]M=\frac{1}{2\\}[/tex].
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 :)