AB = DC
BC = BC
both have an angle of 90°
not only are they congruent, they're also completely identical.
NEED ANSWER FAST
REAL ANSWER ONLY
Solve for x
Answer:
I got -1/2
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.
learn more on velocity :
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ASAP I NEED HELP 26,244π cubic centimeters. Find the radius of the ball.
Answer:
r = 27 cm
Step-by-step explanation:
[tex]Volume \ of \ ball = \dfrac{4}{3}\pi r^{3}\\\\\\\dfrac{4}{3}\pi r^{3}= 26244\pi \\\\\\r^{3}=\dfrac{26244*\pi *3}{4*\pi }\\\\\\r^{3}= 6561*3\\\\r^{3} = 3*3*3*3*3*3*3*3*3\\\\\\r=\sqrt[3]{3*3*3*3*3*3*3*3*3}=3*3*3\\\\r = 27[/tex]
-7m+10<-39
Solve the Inequality using the format M<1
Answer:
m>7
Step-by-step explanation:
-7m+10<-39
-7m<-39-10
-7m<-49
7m>49
m>7
5(x-3)=10x-15
Inifinite, one or no soulution(s)?
Answer:
1 solution! X = 0
can we help me? guys
Answer:
a = 3x
b = -6x^2
c = 4
Step-by-step explanation:
to find b we have to multiply (x - 3) with 2x^2
= 2x^3 - 6x^2
b = - 6x^2
to find a
in the second step of division to get -9x
we have to multiply x - 3 with 3x
a = 3x
to find c we have to add next term after x in the first equation that is 4
in equation 8x + 4
so c = 4
What percent is 30 out of 75?
Answer:
40%
Step-by-step explanation:
Which statements are true about the angles in this diagram? Select all that apply.
Answer:
<3 and <6 are alternate interior angles
<4 and <6 are consecutive interior angles
<4 and <5 are alternate interior angles
<3 and <5 are consecutive interior angles
Step-by-step Explanation:
See attached images for examples of the angles.
Hope this helps!
state the slope of the line.
y=−5x+2
five is your slope line
Hi there!
The slope is -5.
Because
The equation of the line is written in slope-intercept form (y=mx+b)
m is the slope (-5)
Hope it helps!
If you have any question or query, feel free to ask!
~An excited gal
[tex]SparklingFlower[/tex]
Sample Response: The bacteria took more time to double from 1 cell to a bottle full of cells. Once the bottle was full, each cell in the full bottle doubled, causing an additional bottle to be filled in 5 minutes. Then the 2 full bottles doubled in the next 5 minutes, causing all 3 bottles to be full.
What did you include in your response? Check all that apply.
The full bottle doubled after 5 minutes.
The 2 full bottles doubled after 5 minutes.
Exponential growth is a multiplicative rate of change.
Answer:
At 10:05 a.m., there are 2 microscopic bacteria cells in the bottle. How many cells will be in the bottle at 10:15 a.m.?
Step-by-step explanation:
There are 90 seats on a train. 63 of the seats are empty. What percentage of the seats on the train are empty?
Answer:
70%
Step-by-step explanation:
Currently struggling with this question need help
Answer:
1638 cm, also please mark brainliest
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
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.
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
pleaseeeeeeeee helpppp needdd nowwww thanksss!!!
PLEASE HELP ASAP
WILL GIVE BRAINLIEST
The two tangent theorem states that if we draw two lines from the same point which lies outside a circle, such that both lines are tangent to the circle, then their lengths are the same.
Which means that DB = CB
Which means that 10x + 16 = 5x + 20
10x - 5x = 20 - 16
5x = 4
x = 4/5
And so the length of CB is
5 * 4/5 + 20 = 4+20 = 24
Good LUCK :)
A certain circle can be represented by the
following equation.
2? + y2 - 182 + 204 + 177 = 0
What is the center of this circle?
What is the radius of this circle?
Answer:
let 2? be 2y
2y+y^2-563=0
2y+y^2=0+563
2y+y^2=563
3y^2\3=563\3
y=13.69
how to find the vertex of a parabola in quadratic form
Step-by-step explanation:
the formula is ax^2+bx+c
the vertex is (-b/2a)i^
find it and put it on function and the j^ of the vertex is found which is -delta/4a
Footlocker and Footaction are each having a sale on all of the latest name brand shoes. At
Footlocker, you can get 2 pairs of Nikes for $69.98. At Footaction you can get 3 pair of shoes for
$99.99.
Part A: What is the unit cost for a pair of shoes at each store?
Part B: Molly wants the best deal. She has to buy 6 pairs of shoes. Which store should she
purchase 6 pairs of shoes? How much would she save by buying the shoes at that store? Show your
work.
Answer:
33.33
Step-by-step explanation:
Find the product.
(23)(−98)(−45)(−1)
Enter the correct product in the box.
Answer:
-101,430
Step-by-step explanation:
23 x 98 x 45 x 1 equals 101,430, but the real trick of the question is whether it is positive or negative.
23(-98) forms a negative number (-2,254)
-2254(-45) forms a positive number (101,430)
101,430(-1) forms a negative number (-101,430)
City planners are planning to build a new community pool. They agree that the pool will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the width would remain at 12.3 meters but that the length would increase by 4.3 meters. So, the pool would now cover an area of 213.65 square meters. Which equation can be used to determine the original length of the pool, I?
A. 213.65 = 4.3(1+ 12.3)
B. 213.65(I+16.6)
C. 213.65 = 12.3(I+ 4.3)
Answer:
C. 213.65 = 12.3(I+ 4.3)
Step-by-step explanation:
Original length: l
New length: l + 4.3
area: LW
area: 213.65 m²
area = LW = (l + 4.3)(12.3)
(l + 4.3)(12.3) = 213.65
12.3(l + 4.3) = 213.65
Answer: C. 213.65 = 12.3(I+ 4.3)
SOMEONE ACTUALLY HELP PLS??\
10, 10, 18, 18, 10, 5, 12, 13
Find the median and mean number of hours for these students.
If necessary, round your answers to the nearest tenth.
Here is the graph of y=x^2-2
Adrian is asked to use the graph to solve the equation x^2-2x-1=0
He intends to do so by drawing a straight line on a grid.
Complete Adrian’s method to find estimates for the solutions to the equation x^2-2x-1=0
You must show how you get your solution.
Answer:
The solutions to x^2-2x-1=0 are the same as the solutions to x^2-2=2x-1
Step-by-step explanation:
hope this helps
Auto save in progress. Solve 10 - 2x = 3x 10 - 2x equals 3x
[tex]10 - 2x = 3x[/tex]
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).
add 6 and f, then add 10 to the result
Answer:
(6 + f) + 10
f + 16
I need help answering this question!
9514 1404 393
Answer:
(x, y) = (-2, -4)
Step-by-step explanation:
A graphing calculator can provide excellent help with graphing. Apps and websites are available, if your calculator doesn't do that.
The two lines intersect at the solution point: (x, y) = (-2, -4).
regression and data analysis
Answer:..
Step-by-step explanation:..
What is the solution of 1/x+1/3<1/5 ?
Step-by-step explanation:
hope it helps thanks this is the answer