regression and data analysis
Answer:..
Step-by-step explanation:..
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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Someone please help me i need to finish this by tonight.
Answer:
Step-by-step explanation:
All changes saved
D
4. Eric is helping his younger sister learn division. He is having a hard time explaining what a remainder is. Help Eric out by describing
what a remainder is in your own words. What is the remainder when 76 is divided by 3?
Answer:
You'd get 25.3333 or you could also express 76/3 as a mixed fraction: 25 1/3.
↑
the arrow pointing shows what the remainder means
remainder is the one which is down
memona has a 6kg sack of rice and some empty bags. she fills each bag with 475 grams of rice from the sack. how many bags can memona completely fill with rice?
Answer:
1500
Step-by-step explanation:
1000×6÷4
250×6
1500
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
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
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).
Write a polynomial function of the least degree that has roots of 3 and (4 + i).
Answer:
your answer is 4+3
Step-by-step explanation:
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:
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
What percent is 30 out of 75?
Answer:
40%
Step-by-step explanation:
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
7. answer correct for brainliest
Answer:
4 7/20
Step-by-step explanation:
8 1/4 - 3 9/10
get a common denominator of 20
8 1/4 *5/5 - 3 9/10 *2/2
8 5/20 - 3 18/20
borrow 1 from the 8 in the form of 20/20
7 +20/20 + 5/20 - 3 18/20
7 25/20 - 3 18/20
4 7/20
Answer: 4.35
Step-by-step explanation: 8 1/4 as a decimal is 8.25. 3 9/10 as a decimal is 3.9. 8.25 - 3.9 = 4.35.
I need help with my math
Answer:
Find the point of intersection of the graphs of the equations.
Step-by-step explanation:
that's the answer
keep on leaning math
Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. ASA
D. SAS
PLS HELP NOWWWWWWWWWWWW
Answer:
is no solution an answer choice cause thats what i got
Step-by-step explanation:
-2x -3 for x = -3
( Evaluate the following algebraic expression )
Answer:
well its -2*-3-3 so
-2*-3 is 6-3 is 3
Step-by-step explanation:
Use a table to find two consecutive integers between which the solution lies.
1. 6x+5=81
2. -115b+80=-489
someone please help me with this :,)
Answer:
352/7 is answer
Step-by-step explanation:
Which in fraction reprecent 80%
Answer:
answer is 4/5
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 line passes through the point (-6, -2) and has a slope of -5/2
Answer: y = -5/2 -17
Step-by-step explanation: First put the equation in point slope form
Y-y1 = m(x-x1)
y + 2 = -5/2(x+6) then simplify to slope int. form
Y= mx + b
Y = -5/2x-17
Answer:
y = (-5/2)x - 17
Step-by-step explanation:
Slope Intercept Formula:y = mx + b
m = slope
b = y-intercept
Plugin Information:
y = mx + b
Slope = -5/2
y = (-5/2)x + b [tex]\longmapsto\\[/tex] Input x and y values from given point
-2 = (-5/2)-6 + b
Simplify, Solve for b:-2 = (-5 * -6)/(2) + b
-2 = 30/2 + b
-2 = 15 + b
b = -2 - 15
b = -17
Rewrite Equation:y = mx + b
m = -5/2
b = -17
y = (-5/2)x - 17
-Chetan K
-Chetan K
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
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
Identify the y-intercept of this line. b =
-
Answer:
b = 4
Step-by-step explanation:
The y- intercept is the point on the y- axis where the line crosses it
Here the line crosses the y- axis at b = 4
#Help plz
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#Quality answer needed
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Given: -3x + y = 1.
Write the equation in general form Ax + By + C =0.
3x - y = -1
3x - y + 1 = 0
-3x + y - 1 = 0
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.
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The perimeter of an equalateral triangle is 17cm less than the perimeter of a rectangle. The length of one side of the triangle is 5cm. Construct an equation for the perimeter of tge rectangle
Answer:
P=5x3+17 P=32
Step-by-step explanation:
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.
