ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?
Answers
Answer:
180 degrees
Step-by-step explanation:
ABCD is now opposite where it started, so it was rotated 180 degrees
I hope this helps!
Answer:
180 degrees
Step-by-step explanation:
Related Questions
Given the mean of a random variable, X, is 10 and P(X < 11) = 0.67. Find the standard deviation.
Answers
Answer:
Step-by-step explanation:
This is the problem we need to solve:
[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex] and we have everything but the z-score (which we find from a table) with our main unknown being the standard deviation.
If the probability that a random variable that is less than 11 is .67, we first have to find the z-score from the table that is closest to .67, and there are 2:
P(z < .43) = .66640 and P(z < .44) = .67003
We'll use z = .44
[tex].44=\frac{11-10}{\sigma}[/tex] and
[tex].44=\frac{1}{\sigma}[/tex] and
[tex]\sigma=\frac{1}{.44}[/tex] so
σ = 2.27 (check it; it works!)
b)
Four students represented the same pattern with the following equations:
Simon C = 4n + 1
Shania C = 3n + 4 + n-3
Tate C = (6n + 1) + (-2n)
Navdeep C = 2(2n + 3) -5
Use algebra skills to determine which of these four equations are equivalent. Show your work.
Answers
Simon
C = 4n + 1
Shania
C = 3n + 4 + n -3
C = 4n + 1
Tate
C = (6n + 1) + (-2n)
C = 6n + 1 - 2n
C = 4n + 1
Navdeep
C = 2(2n + 3) -5
C = 4n + 6 - 5
C = 4n + 1
Therefore all of them are equivalent.
Answered by Gauthmath must click thanks and mark brainliest
which is the graph of g(x) = sqrt x-16
Answers
Answer:
Step-by-step explanation:
I am not sure if you are asking for the graph of
√(x-16) that has a x intercept at (16,0)
or
√ x -16 that has a y intercept at (0, -16)
Select all the expressions that represent the difference of the length to width ratios for rectangle A and rectangle B, where W is the width of rectangle A.
Answers
Answer:
w+5/w - w+1/2w
w+9/2w
Step-by-step explanation:
Answer:
A&D are corect
Step-by-step explanation:
combine like terms
Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form
(2 • 6) 3/2
Answers
Answer:
24√3
Step-by-step explanation:
(2 • 6)^(3/2) =
= 12^(3/2)
= √(12³)
= √1728
= √(2^6 • 3² • 3)
= 2³ • 3 • √3
= 24√3
solve
f(x)=4x5−8x4+8x2−4x
Answers
Given:
The function is:
[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]
To find:
The roots of the given equation.
Solution:
We have,
[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]
For roots, [tex]f(x)=0[/tex].
[tex]4x^5-8x^4+8x^2-4x=0[/tex]
[tex]4x(x^4-2x^3+2x-1)=0[/tex]
[tex]4x((x^4-1)+(-2x^3+2x))=0[/tex]
[tex]4x((x^2+1)(x^2-1)-2x(x^2-1))=0[/tex]
On further simplification, we get
[tex]4x(x^2+1-2x)(x^2-1)=0[/tex]
[tex]4x(x-1)^2(x+1)(x-1)=0[/tex]
[tex]4x(x+1)(x-1)^3=0[/tex]
Using zero product property, we get
[tex]4x=0[/tex]
[tex]x=0[/tex]
Similarly,
[tex]x+1=0[/tex]
[tex]x=-1[/tex]
And,
[tex](x-1)^3=0[/tex]
[tex]x=1[/tex]
Therefore, the zeroes of the given function are [tex]-1,0,1[/tex] and the factor form of the given function is [tex]f(x)=4x(x+1)(x-1)^3[/tex].
What is the quotient? t +3 t +4 f+7t+12) 0 (t + 3)2 (t+4)2 1 (t-4) 1 (t + 3)?
Answers
Answer:
1
-----
(t+4)^2
Step-by-step explanation:
(t+3)
------- ÷ (t^2+7t+12)
(t+4)
Copy dot flip
(t+3) 1
------- * --------------------
(t+4) (t^2+7t+12)
Factor
(t+3) 1
------- * --------------------
(t+4) (t+4)(t+3)
Cancel
1 1
------- * --------------------
(t+4) (t+4)
1
-----
(t+4)^2
Answer:
answer is b
Step-by-step explanation:
monica has $340 in the bank and plans to save $10 per week. is this linear or exponential?
Answers
Answer:
linear. Each week adds another 10 dollars.
Step-by-step explanation:
Total = 340 + 10*w
w is the weekly amount
Suppose 5 weeks pass
Then the total amount in her bank account is
Total = 340 + 10*5
Total = 340 + 50
Total = 390
The equation is Linear.
find the measure of the indicated angle to the nearest degree
Answers
[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]
Convert to p/q form[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]
[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]
HELPPPPPPPPPPPPPPPPP PLZ
Answers
Answer:
GH = 8.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan J = opp side / adj side
tan J = HG / HJ
tan 40 = GH / 10
10 tan 40 = GH
8.39099=GH
Rounding to the nearest tenth
GH = 8.4
please help asap, see attached photo. This is due in 1 hour!!! please answer both questions. Both 5 and 6
Answers
Answer:
A and C
Step-by-step explanation:
5) logx+log(x+9)=2
log(x(x+9))=2, log(x^2+9x)=2
6) log(x^2+9x)=2
(x^2+9x)=36 or 6^2
One model of Earth's population growth is P(t)= 64/(1+11e^0.8t)
where t is
measured in years since 1990, and P is measured in years since 1990, and Pis measured in billions of people. Which of the following statements are true? Check all that apply.
Answers
Answer: C and D
Step-by-step explanation:
Using the logistic equation, it is found that options C and D are correct.
The logistic equation for population growth is given by:
[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]
[tex]A = \frac{K - P(0)}{P(0)}[/tex]
In which:
K is the carrying capacity. P(0) is the initial value. k is the growth rate, as a decimal. The population grows exponentially for a while, but as it gets closer to the carrying capacity, the growth slows down.For this problem, the equation is:
[tex]P(t) = \frac{64}{1 + 11e^{-0.08t}}[/tex]
Which means that:
The carrying capacity is of 64 billion people, as [tex]K = 64[/tex].The growth rate is of 8% per year, but it is not steady.The initial population, in millions of people, is of [tex]P(0) = \frac{64}{1 + 11} = 5.3[/tex].Hence, options C and D are correct.
To learn more about the logistic equation, you can check https://brainly.com/question/25697660
Which graph represents the function f (x) = StartFraction 2 Over x minus 1 EndFraction + 4?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = negative 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = negative 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.
Answers
Answer:
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4
Step-by-step explanation:
The given function is presented as follows;
[tex]f(x) = \dfrac{2}{x - 1} + 4[/tex]
From the given function, we have;
When x = 1, the denominator of the fraction, [tex]\dfrac{2}{x - 1}[/tex], which is (x - 1) = 0, and the function becomes, [tex]\dfrac{2}{1 - 1} + 4 = \dfrac{2}{0} + 4 = \infty + 4 = \infty[/tex] therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote
Also we have that in the given function, as x increases, the fraction [tex]\dfrac{2}{x - 1}[/tex] tends to 0, therefore as x increases, we have;
[tex]\lim_ {x \to \infty} \dfrac{2}{(x - 1)} \to 0, and \ \dfrac{2}{(x - 1)} + 4 \to 4[/tex]
Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1
When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, [tex]\dfrac{2}{0 - 1} + 4 = 2[/tex]. When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left
Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.
Answer:
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4
Step-by-step explanation:
The given function is presented as follows;
From the given function, we have;
When x = 1, the denominator of the fraction, , which is (x - 1) = 0, and the function becomes, therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote
Also we have that in the given function, as x increases, the fraction tends to 0, therefore as x increases, we have;
Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1
When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, . When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left
Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.
The quotient of five less than a number and six, is -4
Answers
Answer:
(a-5) / 6 = -4
or
-19
Step-by-step explanation:
(a-5) / 6 = -4
multiply by 6
a - 5 = -24
+5 +5
a = -19
Describe the pattern in the following sequence and list the next three terms:
4, 8, 16, 32, ...
I’ll mark brainliest! Please help me
Answers
Multiples of 4 after continuing 2 digits skip one multiple and continue;-;
Can anyone help me with this question
Answers
Answer:
60
Step-by-step explanation:
A significant figure means the most important (biggest) number.
As it just wants 1 significant figure, you count 1 to the right and round the 6 up.
Hope this helps :)
A group of three undergraduate and five graduate students are available to fill certain student government posts. If four students are to be randomly selected from this group, find the probability that exactly two undergraduates will be among the four chosen.
Answers
Answer:
[tex]Pr = 0.4286[/tex]
Step-by-step explanation:
Given
Let
[tex]U \to\\[/tex] Undergraduates
[tex]G \to[/tex] Graduates
So, we have:
[tex]U = 3; G =5[/tex] -- Total students
[tex]r = 4[/tex] --- students to select
Required
[tex]P(U =2)[/tex]
From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.
First, we calculate the total possible selection (using combination)
[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]
So, we have:
[tex]Total = ^{U + G}C_r[/tex]
[tex]Total = ^{3 + 5}C_4[/tex]
[tex]Total = ^8C_4[/tex]
[tex]Total = \frac{8!}{(8-4)!4!}[/tex]
[tex]Total = \frac{8!}{4!4!}[/tex]
Using a calculator, we have:
[tex]Total = 70[/tex]
The number of ways of selecting 2 from 3 undergraduates is:
[tex]U = ^3C_2[/tex]
[tex]U = \frac{3!}{(3-2)!2!}[/tex]
[tex]U = \frac{3!}{1!2!}[/tex]
[tex]U = 3[/tex]
The number of ways of selecting 2 from 5 graduates is:
[tex]G = ^5C_2[/tex]
[tex]G = \frac{5!}{(5-2)!2!}[/tex]
[tex]G = \frac{5!}{3!2!}[/tex]
[tex]G =10[/tex]
So, the probability is:
[tex]Pr = \frac{G * U}{Total}[/tex]
[tex]Pr = \frac{10*3}{70}[/tex]
[tex]Pr = \frac{30}{70}[/tex]
[tex]Pr = 0.4286[/tex]
The two cones below are similar. What is the value of x?
Cone 1
Height = 10
Radius = 3
Cone 2
Height = 3
Radius = x
A. 0.3
B. 0.9
C. 0.09
D. 0.18
Answers
Answer:
If they are similar, the ratio of 10/3 should be the same as the 3/x
then solve
10/3 = 3/x
cross multiply
10x=8
x = 9/10
so C. is the right answer
The missing value in the smaller cone is 0.9 units.
What is similarity?Similarity in math is a concept that relates to the shape and size of figures. Two figures are similar if they have the same shape, but not necessarily the same size.
Given that, two similar cones, we need to find the value of x in the smaller cone,
Since, the cones are similar, then according to the definition of similarity,
we know that the dimensions will be in equal proportion,
Let the dimensions of the big cone be H (height) and R (radius) and that of smaller cone be h (height) and r (radius)
So,
H / R = h / r
10 / 3 = 3 / x
x = 9/10
x = 0.9
Hence, the missing value in the smaller cone is 0.9 units.
Learn more about similarity, click;
https://brainly.com/question/26451866
#SPJ7
Andrea paid $9.99 to join an online music service. She purchases 12 songs each month at a cost of $0.79 per song Andrea thinks after six months she will have spent around $40 total is Andrea‘s estimate reasonable?
Answers
Answer:
không
Step-by-step explanation:
Answer:
I have no idea you can use the app paper.
Step-by-step explanation:
Hope it helps.
Please help
Solve for x
Answers
Answer:
X=15 since it the same
Step-by-step explanation:
X is simply equal to 15 because it an equilateral triangle
For a line that contains the point (3, 4) and has a slope of 4, please name another point on this line. Show the work you did to find this answer.
Answers
Answer:
y = 4x - 8
Step-by-step explanation:
y = 4x + b
4 = 4(3) + b
4 = 12 + b
-8 = b
quadratics formula 4x^2+3x-1=0
Answers
Answer: X = 1/4 or X = -1
Step-by-step explanation:
4x2+3x−1=0
(4x−1)(x+1)=0
4x−1=0 or x+1=0
4x=1 or x=-1
Now divide 4 from both sides
like this 4x/4=1/4
now cancel out two 4's so the answer will be x=1/4
Double Tower of Hanoi: In this variation of the Tower of Hanoi there are three poles in a row and 2n disks, two of each of n different sizes, where n is any positive integer. Initially one of the poles contains all the disks placed on top of each other in pairs of decreasing size. Disks are transferred one by one from one pole to another, but at no time may a larger disk be placed on top of a smaller disk. However, a disk may be placed on top of one of the same size. Let tn be the minimum number of moves needed to transfer a tower of 2n disks from one pole to another.
a. Find q and t2.
b. Find t3.
c. Find a recurrence relation for t1, t2, t3, ....
Answers
Answer:
a) t1 = 2 , t2 = 6
b) t3 = 14
c) recurrence relation ( Tn ) = 2Tn-1 + 2
Step-by-step explanation:
Tn = minimum number of moves needed
2n disks is moved from one pole to another
a) determine the value of t1 and t2
let n = 1
2n moves = 2 * 1 = 2
∴ t1 = 2
let n = 2
2n moves = 2*2 = 4
∴ t2 = 4 + t1 = 4 + 2 = 6
b) determine value of t3
let n = 3
2n moves = 2 * 3 = 6
∴ t3 = t1 + t2 + 6
= 2 + 6 + 6 = 14
c) Determine th recurrence relation
let n ≥ 2 i.e. n - 1 ≥ 1
number of disk required to be moved = 2n
number disks as follows : 1 to 2n
the recurrence relation = sum of number of moves in each step
Tn = Tn-1 + 2 + Tn -1
hence recurrence relation ( Tn ) = 2Tn-1 + 2 when all integers n ≥ 2
Find the measure of the indicated angle to the nearest degree
Answers
Answer:
19 degrees
Explanation:
The tangent ratio is opposite/adjacent. To find the angle however you need to take the inverse so the answer will be tan^-1(17/50).
exponential form of (30 + 20) x 50
Answers
Answer:
50^(2)
Step-by-step explanation:
(30+20)*50=50*50=50^(2)
What is the volume of the rectangular prism?
Answers
Answer:
94.5 yd^3
Step-by-step explanation:
The volume of a rectangular prism is given by the formula:
A = lwh
Where:
l = length
w = width
h = height
Volume is how much space a 3d figure occupies.
USE THE FORMULA WITH THE GIVEN DIMENSIONS:
A = (7)(4.5)(3)
= (31.5)(3)
= 94.5
Volume is measured in cubic yards, in this case.
Therefore your answer is 94.5 yd^3
I hope I helped!
Answer:
Step-by-step explanation:
length = 7 yd
Width = 4.5 yd
height = 3 yd
Volume of rectangular prism = length * width * height
= 7 * 4.5 * 3 = 94.5 yd³
The slope (m) and the y-intercept (b) of the line 2x + 3y = 12 is:
Answers
Step-by-step explanation:
[tex]2x + 3y = 12 \\ 3y = - 2x + 12 \\ y = - \frac{2}{3} x + 4[/tex]
slope is -2/3
y intercept is 4
Answer:
The slope is -2/3 and the y intercept is 4
Step-by-step explanation:
2x + 3y = 12
Slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
2x + 3y = 12
Subtract 2x from each side
2x-2x+3y = -2x+12
3y = -2x+12
Divide by 3
3y/3 = -2x/3 +12/3
y = -2/3 x +4
The slope is -2/3 and the y intercept is 4
Can someone help please
Answers
Answer:
[tex]10^{-3}[/tex]
Step-by-step explanation:
Answer:
https://tex.z-dn.net/?f=10%5E%7B-3%7D
Step-by-step explanation:
10700 by 100 + 5192by 1000 - 412
Answers
Answer:
the answer is -299.808 well that's what I think it's
Answer:
-299.808
Step-by-step explanation:
= 10700/100 + 5192/100 - 412
= 107 + 5.192 - 412
= -299.808
ASAP!! I'll mark you as BRAINLIEST Please help me out here I would really appreciate <3
Answers
Answer:
d) 16, 19, 14 + x
e) x + 20, 30, 33, 15, y - 20, x+x+20=60 and James would be 20.
f) 13
g) 120
Step-by-step explanation:
D.
(1) 14 + 2 = 16
(2) 14 + 5 = 19
(3) 14 + x
E.
(1) x + 20
(2) 10 + 20 = 30
(3) 13 + 20 = 33
(4) 35 - 20 = 15
(5) y - 20
(6) x + (x + 20) = 60 | 2x + 20 = 60 | 2x = 40 | x = 20
F.
200 - 148 = 52
52 / 4 = 13 each
G.
500 + 100 = 600
600 / 5 = 120 without the discount
Hope this helps!
