Answer:
I think its 3
yah it's 3.....
A particle moves along the x-axis so that time t>0 the position is given by x(t)=0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1. What is the velocity of the particle at the first instance the particle is at the origin?
The velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.
To find the velocity of the particle at the first instance it is at the origin, we need to find the value of t when x(t) = 0.
Since the particle is at the origin when x(t) = 0, we have:
[tex]0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1 = 0[/tex]
Using numerical methods or graphing the equation, we find that the roots are approximately t ≈ -0.618, t ≈ 1.532, t ≈ 3.143, and t ≈ 2.944.
Since t > 0, the first instance the particle is at the origin corresponds to t ≈ 2.944 (the smallest positive real root).
Now, to find the velocity of the particle at this instance, we need to find the derivative of the position function x(t) with respect to time t, which gives us the velocity function v(t):
v(t) = dx/dt
[tex]v(t) = d/dt (0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1)\\v(t) = 2t^3 - 4.5t^2 - 4t + 6[/tex]
Now, we can find the velocity at t ≈ 2.944:
[tex]v(t = 2.944) = 2(2.944)^3 - 4.5(2.944)^2 - 4(2.944) + 6[/tex]
v(t ≈ 2.944) ≈ 16.885
So, the velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.
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Which graph represents the solution set of the compound inequality -43x-1 and 2x+43 18?
;+
-10
-5
0
10
-10
-5
0
5
10
-10
10
о
-10
0
5
10
Answer:
Step-by-step explanation:
YOU CAN DO THIS :)
solve pls brainliest
Answer:
Rate of change problem:
theres 2 ways but it’s a basically the same thing, if you do these questions enough you’d know right away to find the unit rate of gallon of gasoline To price.
So you can divide.
10 gallons, 23 dollars
23 ÷ 10 = $2.30
$2.30 per gallon of gasoline.
Now we multiply by 15 to find how much will 15 gallons will cost.
2.3*15= $34.5
or you can do it proportionally, this is if you would want to show your work more clearly or just started doing these problems.
So we can make x unknown price.
So we know its 10 gallons for 23 dollars
we want to know how much it would be for 15 gallons
So we can do it like gallon/ price = gallon/ price
ex:
10/23 = 15/x
Make sure it’s lined up correctly
Now just cross multiply and solve for this proportion
10x= 345
now solve
x= 34.5
same answer
HELP!
Problem:
Dan is cutting 4.75 foot lengths of twine from a 240 foot spool of twine. He needs to cut 42 lengths and says that 40.5 feet of twine will remain. Show that this is reasonable.
Answer:
4.75 is about -5(40) =-200, and 340-200=40
Step-by-step explanation:
PLZ HELP!!!!
Use the function f(x)=x^2+4x-5 and the coordinate plane. SHOW ALL WORK FOR EACH PART!
What are the values of a, b, and c? (3pts)
Does the parabola open up or down? How do you know? (2pts)
What is the maximum or minimum value? How do you know? (2pts)
What are the x-intercepts? (2pts)
What is the y-intercept? (1pt)
What is the vertex? (2pt)
9514 1404 393
Answer:
a) a=1, b=4, c=-5
b) opens up; a > 0
c) minimum = -9, the y-value of the vertex
d) x = -5, 1
e) y = -5, the value of c
f) (-2, -9)
Step-by-step explanation:
A graph drawn by a graphing calculator can answer all of these questions quickly and easily.
__
a) The values of 'a', 'b', and 'c' are the values of the coefficients of the terms in the function definition. They refer to the coefficients in the standard form:
f(x) = ax^2 +bx +c
f(x) = x^2 +4x -5 . . . . . . . your equation with a=1, b=4, c=-5
__
b) The parabola opens up. This is because the value of 'a' is greater than zero.
__
c) The minimum is the y-value of the vertex. When the function is written in vertex form it is ...
f(x) = (x -h)^2 +k . . . . . . . . . . . vertex (h, k)
Your function can be put into this form:
f(x) = x^2 + 4x +4 -5 -4 . . . . . . add and subtract 4 to complete the square
f(x) = (x +2)^2 -9 . . . . . . . . vertex form. The vertex is (-2, -9).
The y-value of the vertex is -9, the minimum value of the function.
__
d) Solving f(x) = 0, you get ...
(x +2)^2 -9 = 0
(x +2)^2 = 9 . . . . . . . . add 9
x +2 = ±√9 = ±3 . . . . . take the square root; next, subtract 2
x = -2 ±3 = {-5, 1} . . . . . the x-intercepts
__
e) The y-intercept is f(0) = c = -5.
__
f) The vertex was found in part (c) to be (-2, -9).
Which in fraction reprecent 80%
Answer:
answer is 4/5
SOMEONE PLEASE HELP‼️‼️‼️ILL MARK BRAINLYEST WHAT EVER IT IS CALLED PLEASE ‼️‼️‼️
1. Find the value of x in the figure below if GH is parallel to JK.
A. 4 units
B. 9.8 units
C. 6.7 units
D. 5 units
Answer:
D. 5 units
Step-by-step explanation:
The parallel segments divide the slant segments proportionally:
7.5/10.5 = x/7
x = 7(7.5/10.5) = 5 . . . . . multiply by 7
The value of x is 5 units.
_____
If you want to use corresponding sides of similar triangles, you get the same result. ΔIGH ~ ΔIJK
IJ/IG = IK/IH
7/(7+10.5) = x/(x+7.5) . . . . substitute shown values
7(x +7.5) = 17.5x . . . . . . . cross multiply
7(7.5) = 10.5x . . . . . . . . . subtract 7x
x = 7(7.5/10.5) = 5 . . . . . divide by the coefficient of x
Answer:
D 5 units
Step-by-step explanation:
I got it right on the quiz
Question 1-2
1
Tom walks 1 mile in
of an hour. Kyle walks 4 miles in
4
of an hour.
5
Who walks at a faster speed, Kyle, Tom, or neither?
Answer:
460 feet
Step-by-step explanation:
Graph the compound inequality on the number line.
Answer:
x can equal any number between 0 and 8. This also includes 8.
Step-by-step explanation:
As noted in the problem, x is more than -1 (x > -1)
So we can infer that -1 and anything past it to the left is not a viable answer.
As noted in the problem, x is lesser than or equal to 8 (x ≤ 8) meaning that anything past 8 to the right will not be a viable answer.///
It will look something like this.
It will stop here --v
---•---|---|---|---|---|---|---|---•---
0 1 2 3 4 5 6 7 8
(Hope this helped, however I learned this 2 years ago so my memory might be a little foggy. The exact kind of point (filled or not) namely won't be something I know.)
PLEASE SOMEONE HELP ME OUT THIS IS URGENT PLEASE AND THANK YOU! ):
Answer:
for the first line let (-4,-3) be (x1,y1) and (8,0) be x2,y2.
now,
slope (m1) = (y2-y1)/ (x2-x1)
or, m1= 0-(-3)/ 8-(-4)
or, m1=3/12=1/4
again, for line two consider (0,2) as x1,y1 and (-1,6) be (x2,y2)
apply the same formula and find the slope(m2)
m2=6-2/-1-0
or, m2=4/-1
for b) m1 multiply m2
or 1/4 x 4/-1
=-1 so it is perpendicular
Step-by-step explanation:
for a we simply apply the formula of slope considering the given points as x1,y1 and x2,y2 respectively.
while for the b number if m1 x m2 =-1 the line is considered to be perpendicular.
similarly, if m1=m2 then it is considered to be parallel.
here m1 is slope of the first line, m2 is slope of second line and m3 is the slope of the third line
PLEDE HELP ME EMERGENCYYYYYY
Answer:
1) drinks = $10
2) food = $25
3) total = 7 parts
Step-by-step explanation:
1) 2×5=10
2) 5×5=25
3) 2part+5part=10part
Step-by-step explanation:
the other answer can be a bit confusing.
and the last sentence there is wrong. it should be 2 parts plus 5 parts is 7 parts.
anyway, in questions like this you need to first clarify : how many parts are being used as the whole.
think of it like a cake or a pizza. one friend will eat 2 slices, another will eat 3 slices, and you want only one. then into how many slices do you have to cut the pizza, if there should be no pizza left ?
so, in our case here, the drinks get 2 "slices" of the whole pizza of $35. and food gets 5 "slices". and together they have now the whole pizza.
so the whole pizza was cut into 2+5 = 7 slices.
now we need to spread the whole $35 "pizza" evenly on its 7 slices (or parts).
remember : we use division for that.
35/7 = $5
so, one slice (or part) of the whole $35 is $5.
since drinks get 2 slices (or parts), this is then 5+5 or 5×2 = $10
and food gets 5 slices (or parts). this is then 5+5+5+5+5 or 5×5 = $25
and to verify : $10 + $25 = $35. so, yes, we did not make any mistake. the sum is indeed the total of $35.
What percent is 30 out of 75?
Answer:
40%
Step-by-step explanation:
Explain why the square root of a number is defined to be equal to that number to the 1/2 power.
This is because of the law of indices which says:
[tex]\sqrt[x]{n}[/tex]= [tex]x^{\frac{1}{m} }[/tex]
So, if we have:
[tex]\sqrt{n}[/tex]
Then the following will be true because of this math law:
[tex]n^{\frac{1}{2} }[/tex]
Side note: The m value can be greater than n and or less than n, but if it is equal the m and n values cancel out.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Please help me with this question :)
Answer:
B
B
B
Step-by-step explanation:
Probability doesn't deal with decimals and even if you change the values into fraction. I don't think you will get the right answer
Express the function graphed on the axes below as a piecewise function.
first off, let's get the equation of each line, now, let's notice they're lines, thus we can just use two points from each and the point-slope form to get it, so let's do so, Check the picture below.
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad(\stackrel{x_2}{-6}~,~\stackrel{y_2}{6})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{6}-\stackrel{y1}{0}}}{\underset{run}{\underset{x_2}{-6}-\underset{x_1}{(-3)}}}\implies \cfrac{6}{-6+3}\implies \cfrac{6}{-3}\implies -2[/tex]
[tex]\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-3)})\\\\\\y=-2(x+3)\implies \blacktriangleright y = -2x-6 \blacktriangleleft\\\\[-0.35em]\rule{34em}{0.25pt}[/tex]
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-6})\qquad(\stackrel{x_2}{6}~,~\stackrel{y_2}{-9})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{-9}-\stackrel{y1}{(-6)}}}{\underset{run}{\underset{x_2}{6}-\underset{x_1}{4}}}\implies \cfrac{-9+6}{2}\implies \cfrac{-3}{2}[/tex]
[tex]\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{4})\implies y+6=-\cfrac{3}{2}(x-4)\\\\\\y+6=-\cfrac{3x}{2}+6\implies \blacktriangleright y = -\cfrac{3x}{2} \blacktriangleleft[/tex]
now, if we look at the first line, it has a hole when x = -1, however is going upwards to the left otherwise, so we can say the equation includes values to the left of x = -1.
the second equation has a hole when x = 2, so we can say that the equation includes values from x = +2 onwards.
[tex]f(x) = \begin{cases}-2x-6&,~~ x < -1\\[1em]-\cfrac{3x}{2}&,~~x>2\end{cases}[/tex]
80% of __ = 16
Find the missing number Please help :(
Answer:
20
Step-by-step explanation:
16/4=4
4*5=20
16=4/5 (80%) so 20= 5/5 (100%)
Answer: 20
Step-by-step explanation:
80/100 x Y = 16
80Y/100 = 16/1
Cross multiply
80Y = 1600
Divide both sides by 80
Y = 1600/80
Y = 20
PLEASE HELP WILL GIVE FULL PONITS! 3. Using the known angle, what side is known? What side is unknown? Use opposite, adjacent, or hypotenuse in your answer. (2 points)
Known side: ____________________
Unknown side: ___________________________
4. What trigonometric ratio would you use to find the distance from the base of the tower to your keys? Identify your choice, and then calculate the distance. (4 points: 1 point for the ratio, 2 points for shown work, 1 point for the answer)
Trigonometric ratio (name): ___________________________
Calculation (Show your work):
5. While you're at the top of the tower, you see an ant walking along the edge of the building. If the ant were to walk straight down the side of the tower until it reached the ground, how far would the ant travel? Which trigonometric ratio would you use to find this distance? Use the ratio to find the measurement. (4 points: 1 point for the method, 2 points for shown work, 1 point for the answer)
6. Confirm that your answer to question 5 is correct using the Pythagorean Theorem instead of trig ratios. (3 points)
Answer:
The trigonometric ratio that I would use to find the distance from the base of the tower to the keys is the tangent; tan (86°) = height / distance.
Step-by-step explanation:
You can draw a right triangle with angle 86°, opposite leg equal to the height (50 meter) and adjacent leg equal to the distance from the base of the tower to the keys: tan (86°) = 50 m / x
=> x = 50 m / tan(86°)
x = 50 m / 14.30 = 0.98 m
You flip a coin four times. “Heads” is called a success. possible outcomes are shown in the tree diagram. What is the probability of the coin landing heads up exactly twice out of the four flips?
Answer:
6/16
Step-by-step explanation:
there are 6 chances for it to be a double success out of a total 16 tries
PLS HELP!!! WILL GIVE BRAINLIEST
Answer:
10/5 - 4
Step-by-step explanation:
you have to write down what you understand from the sentence.
First, you read it carefully since it says quotient then you will have to put that first and then subtraction. Normally you would put subtraction in front because the sentence is in that order. But since your dealing with division then the subtraction part would go afer.
10/5 - 4
Answer: uhh i think both are correct since the order of operation states that you must do division over subtraction first, it doesn't matter which position 4 is in, but you must do the division first.
Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. ASA
D. SAS
HELP ME PLZ
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3.25 ⋅ 103 seconds?
Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad:
1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Justify your answer.
Answer:
salamat po sa
points.
pa
Step-by-step explanation:
branlest
answer
po
please some one helppppp!!!!!!!!!!!!!!
Answer:
22.49Step-by-step explanation:
(4.83)² × 6√0.276 / 3.27 =
23.3289 × 6(0.5254) / 3.27 = (rounded)
22.49 (rounded)
a shower head model is using 25 gallons every 5 minutes. How many gallons will be used in one minute?
Answer:
47 gallons is you want the world wide web nya berarti aku 0you
What is the sum of all the values of m that satisfies [tex]4mx^{2} −2m-6=0[/tex]
Answer:
The sum of the solutions = 1/2
Step-by-step explanation:
4m^2 - 2m - 6 = 0
Factor out 2
2( 2m^2 -m-3) =0
2 ( 2m-3)(m+1) =0
Using the zero product property
2m-3 =0 m+1 =0
2m =3 m=-1
m = 3/2 m=-1
Adding the solutions
3/2 -1
+3/2 -2/2
1/2
9514 1404 393
Answer:
1/2
Step-by-step explanation:
A quadratic equations that has solutions p and q can be factored as ...
(x -p)(x -q) = 0
When this is expanded, it becomes ...
x^2 -(p+q)x +pq = 0
That is, the opposite of the x-coefficient is the sum of the solutions.
__
We can put your quadratic into this form by dividing by the leading coefficient, 4.
(1/4)(4m^2 -2m -6) = 0
m^2 -1/2m -3/2 = 0
The coefficient of the linear term is -1/2. This tells us the sum of the solutions is -(-1/2) = 1/2.
regression and data analysis
Answer:..
Step-by-step explanation:..
Felicia wants to keep her bill under $55. A cell phone provider charges Felicia $50 per month for her plan plus $0.05 per minute of long-distance calls. Which graph correctly shows the number of long-distance minutes Felicia can use this month?
Answer:
.05x+50=55
100 minutes
Step-by-step explanation:
simplify
.05x=5 (subtract 50 on both sides)
5/.05=x
100=x
she can call for 100 minutes
#Help plz
#No spam -_-||
#Quality answer needed
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
What happens to the value of y in the following equation as the value of x increases, where x is a whole number?
y = x 2 + 4
Answer:
y as well will increase as x value increases bc x is a whole number and y intercept is positive 4
It is found that as the x value increases then the y value will also increase.
What does it mean to solve an equation?An equation represents the equality of two or more mathematical expressions. When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold for those values). Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We have been given the equation as y = x² + 4
when the value of x is 0 then the value of y will be;
y = x² + 4
y = 0 + 4
y = 4
when the value of x is 1 then the value of y will be;
y = 1² + 4
y = 1 + 4
y = 5
Also when the value of x is 2 then the value of y will be;
y = 2² + 4
y = 4 + 4
y = 8
Thus we can conclude that as the x value increases then the y value will also increase.
Learn more about solving equations here:
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Which of these is a ratio equivalent to 3/2?
A. 6/4
B. 3/4
C. 5/2
D. 5/2
Answer:
A
Hope I helped
in the given diagram ,
( angle )AOC= 20 °/• of ( angle )BOC . find the measure of ( angle )AOE if OE is the bisector of
( angle ) AOD
• need a well explained ans
• no spams and plagiarism
• kindly stay out of the question if u don't know the ans
Answer:
It should be BOC
Step-by-step explanation:
this is because a bisector is always a cross or any other shape that cuts something into its exact half (unlike intersect which can cut any shape in any form unlike its exact half )
so, as you can see in the figure, angle BOC is bisecting* AOC at its exact half, angle BOC is the answer.
Also, the measure of BOC (angle) should be 53°
