Answer:
B) π
Step-by-step explanation:
y = sin 2 (x – π∕2)
y = sin (2x -π)
=> 2x = 2π
x = π
The period of function sin(2x−π) is π, which is correct option(B).
What is the period of the function?The period of the function is defined as the interval between repetitions of any function. A trigonometric function's period is the length of one one completed cycle.
What is the Trigonometric functions?The trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
Given the function as :
y = sin 2 (x – π/2)
y = sin (2x − π)
Use the form asin(bx−c) + d to determine the variables used to find the amplitude, period, phase shift, and vertical shift.
a = 1
b = 2
c = π
d = 0
Determine the period of sin(2x−π).
y = sin (2x -π)
So, the period = c = π
Hence, the period of function sin(2x−π) is π.
Learn more about period of the function here:
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да е анан алое вераснята на акту
a differentiable function g has the values shown below. Estimate f'(2.5).
х
2.0
2.2
2.4
2.6
f(x)
10
14
18
24
I assume you meant to say "a differentiable function f has the values ..." and not g.
Since f is differentiable, the mean value theorem holds, so you can approximate
f ' (2.5) ≈ (f (2.6) - f (2.4)) / (2.6 - 2.4) = (24 - 18) / (0.2) = 30
Somebody help me to solve this inequality:8x-2>15x-6.
Answer:
x< 4/7
Step-by-step explanation:
See image below:)
Hello Plsss ...... this is important
find the roots of the quadratic equation w+w²/3=0
I assume that the equation you mean is below:
[tex] \large \boxed{w + \frac{ {w}^{2} }{3} = 0}[/tex]
To find roots for this equation, we have to get rid of the denominator. We can do by multiplying both sides by 3.
[tex] \large{w(3) + \frac{ {w}^{2} }{3} (3) = 0(3)} \\ \large{3w + {w}^{2} = 0}[/tex]
Factor w-term out (common factor)
[tex] \large{w(3 + w) = 0} \\ \large{w = 0 \: \: \: or \: \: \: 3 + w = 0} \\ \large{w = 0, - 3}[/tex]
Answer
The roots of quadratic equation are 0,-3Construct a data set that has the given statistics.
n = 7
x = 12
S = 0
Answer:
The desired data-set is: {12,12,12,12,12,12,12}
Step-by-step explanation:
n = 7
Data set of 7 elements.
x = 12
Mean of 12
S = 0
Standard deviation of 0.
Desired data-set:
Since the desired standard deviation is 0, all the elements in the data-set will be the same. Since the mean is 12, all elements is 12. 7 elements.
The desired data-set is: {12,12,12,12,12,12,12}
Write the equation of the line passing through the point (−2, 1) that is parallel to y=−4x+3.
It was some mistake in previous one so i edited this one.
-2/3×3/5+5/2-3/5×1/6
Answer:
2
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{-2}{3}*\frac{3}{5}+\frac{5}{2}-\frac{3}{5}*\frac{1}{6}=\frac{-2}{5}+\frac{5}{2}-\frac{1}{5*2}\\\\= \frac{-2}{5}+\frac{5}{2}-\frac{1}{10}\\\\=\frac{-2*2}{5*2}+\frac{5*5}{2*5}-\frac{1}{10}\\\\=\frac{-4}{10}+\frac{25}{10}-\frac{1}{10}\\\\=\frac{-4+25-1}{10}\\\\=\frac{20}{10}\\\\= 2[/tex]
Find the distance between the points A(-6,8) and B(12, - 7) by using the distance formula or Pythagorean Theorem. Leave your answer under the radical unless it is a a perfect square. Or, round your decimal answer to the nearest tenth.
Answer:
d=23.43
Step-by-step explanation:
Given data
A(-6,8)
X1=-6
Y1=8
B(12, - 7)
X2=12
Y2=-7
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²
Substitute
d=√((12+6)²+(-7-8)²
d=√((18)²+(-15)²
d=√324+225
d=√549
d=23.43
What's is the value of X?
Answer:
[tex]116^o[/tex]
Step-by-step explanation:
All triangles equal [tex]180^o[/tex]. Therefore, in order to find the value of [tex]x^o[/tex], all you will have to do is subtract [tex]64^o[/tex] from [tex]180^o[/tex].
[tex]180^o-64^o=116^o[/tex]
[tex]x^o=116^o[/tex]
What is the equation of the line that passes through point ( -5,2 ) and has a slope = 2
How much simple interest would be paid on a loan of 10,170 at 7.64% for 272 days
Answer:
I'll setup the problem and you can compute the answer
Step-by-step explanation:
The formula for simple:
I = P*r*t
I = interest
P = loan amount
r = interest rate per period (period = days)
n = number of periods
P = 10,170
r = .0764/365
t = 272
Please answer this: There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 158 inches?
Answer:
40 m
Step-by-step explanation:
158 · 2.54 = 401.32
401.32/100 = 40.132
40.132 ≈ 40
how many terms are in the following expression 9c+2d-8
A basketball player scores 9 points in 12 minutes. How many points per minute does the basketball player score?
Answer:
0.75 points per minute
Step-by-step explanation:
9/12 is 0.75
what's the easiest way to answer how I know the answer pls?
solve for x to the nearest tenth y completing the square: x^2-5x+7=0
Answer:
does not have a solution because √-0.75 ≠ R
Step-by-step explanation:
x^2 - 5x + (5/2)^2 = -7
x^2 - 5x + 6.25 = -7 + 6.25
(x - 2.5)^2 = -0.75
(x - 2.5) = √-0.75
does not have a solution because √-0.75 ≠ R
Answer:
x = (1/2)(5 ± i√3)
Step-by-step explanation:
x² - 5x + 7 = 0
subtract 7 from both sides
x² - 5x = -7
Use half the x coefficent, -5/2, as the complete the square term
(x - 5/2)² = -7 + (-5/2)²
(x - 5/2)² = -7 + 25/4
(x - 5/2)² = -3/4
Take the square root of both sides
x - 5/2 = ±(√-3) / 2
x - 5/2 = ±(i√3) / 2
Add 5/2 to both sides
x = 5/2 ± (i√3) / 2
factor out 1/2
x = (1/2)(5 ± i√3)
95-3/4 step by step pls answer
Answer:
[tex]95 - \frac{3}{4} [/tex]
[tex] = \frac{95}{1} - \frac{3}{4} [/tex]
[tex] = \frac{380}{4} - \frac{3}{4} [/tex]
[tex] = \frac{380 - 3}{4} [/tex]
[tex] = \frac{377}{4} [/tex]
[tex] = 376\frac{1}{4} [/tex]
Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines. y = √x, y = 2, x = 0.
a. the x-axis
b. the line y = 2
c. the y-axis
d. the line x = -1
Answer:
a) 8π
b) 8/3 π
c) 32/5 π
d) 176/15 π
Step-by-step explanation:
Given lines : y = √x, y = 2, x = 0.
a) The x-axis
using the shell method
y = √x = , x = y^2
h = y^2 , p = y
vol = ( 2π ) [tex]\int\limits^2_0 {ph} \, dy[/tex]
= [tex]( 2\pi ) \int\limits^2_0 {y.y^2} \, dy[/tex]
∴ Vol = 8π
b) The line y = 2 ( using the shell method )
p = 2 - y
h = y^2
vol = ( 2π ) [tex]\int\limits^2_0 {ph} \, dy[/tex]
= [tex]( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy[/tex]
= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀
∴ Vol = 8/3 π
c) The y-axis ( using shell method )
h = 2-y = h = 2 - √x
p = x
vol = [tex](2\pi ) \int\limits^4_0 {ph} \, dx[/tex]
= [tex](2\pi ) \int\limits^4_0 {x(2-\sqrt{x} ) } \, dx[/tex]
= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀
vol = ( 2π ) ( 16/5 ) = 32/5 π
d) The line x = -1 (using shell method )
p = 1 + x
h = 2√x
vol = [tex](2\pi ) \int\limits^4_0 {ph} \, dx[/tex]
Hence vol = 176/15 π
attached below is the graphical representation of P and h
8) The sides of a flower garden are shown in the diagram below. What is the perimeter of the flower garden? 4m 2 m
Answer:
18.28 m
Step-by-step explanation:
Given the flower garden in the question :
The shape is composite and can be divided into 2 semicirles and rectangle
The perimeter of a semicircle is the Circumference of the semicircle = πr
Hence, 2 semicirles = 2πr
Radius of semicircle = 2/2 = 1
Perimeter = 2 * 3.14 * 1² = 2 * 3.14 * 1 = 6.28 m
The perimeter of rectangle; length and width are 6m and 2 m respectively :
Perimeter of rectangle = 2(l + w) = 2(4+2) = 2(6) = 12m
Tve perimeter of garden = 6.28 + 12 = 18.28 m
PLEASE HELP ME!!! I need to simplify these equations, not answer them.
Answer:
Step-by-step explanation:
a= 2qr^3 quotent 6p^2
4x^2+4x-14=0 solve and explain then you get brainliest .
Answer:
Step-by-step explanation:
Hope this helps u!!
plss.. help me po goisss:( BRAINLIEST KO PO YUNG TAMANG SAGOT PLSS:(
I.)
1.) 7N = 50
2.) 35 - 16 = N
3.) 2P + 8 = 24
4.) R/5 = 9
5.) 30 - 10 = 20
II.)
1.) Twinity increased by eight times N
2.) D decreased by eleven
3.) The quotient of X and nine is K
4.) Five times X
5.) Three times a decreased by 5 is thirteen
6.) Nothing
7N = 50
35 - 16 = N
2P + 8 = 24
R/5 = 9
30 - 10 = 20
Twenty increased by eight times N
D decreased by eleven
The quotient of X and nine is K
Five times X
Three times a decreased by 5 is thirteen
A small engine shop receives an average of repair calls per hour, with a standard deviation of . What is the mean and standard deviation of the number of calls it receives for -hour day? What, if anything, did you assume?
Answer:
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
N-instances of a normal variable:
For n-instances of normal variable, the mean of the distribution is: [tex]m = n\mu[/tex], and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex]
What is the mean and standard deviation of the number of calls it receives for n-hour day?
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
I need the answers pls!!!!
please
Answer:
[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]
Step-by-step explanation:
Given
[tex](4x - 3)(5x - 8)[/tex]
Required
Identify and correct error
The error is when the inner and outer terms are multiplied. i.e.
[tex]4x * -8 = -32x[/tex] not 32x
[tex]-3 * 5x = -15x[/tex] not 15x
So, the expression is:
[tex](4x - 3)(5x - 8) = 20x^2 - 32x -15x + 24[/tex]
[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]
405, 397,389, ...
Find the 31st term.
A light bulb consumes 960 watt-hours per day how long does it take to consume 5040 watt-hours?
Answer:
5 hour and 25 mins
Step-by-step explanation:
If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.If terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.How many sweets does Terry have?
Answer:
Terry has 1500 sweets.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of sweets Terry has.
y is the number of sweets Alex has.
If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.
This means that:
[tex](1 - 0.3)x = y + 0.3x[/tex]
[tex]0.7x = y + 0.3x[/tex]
[tex]y = 0.4x[/tex]
If Terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.
This means that:
[tex]y + 750 = 1.8(x-750)[/tex]
We want to find x, and since [tex]y = 0.4x[/tex]
[tex]y + 750 = 1.8x - 1350[/tex]
[tex]0.4x + 750 = 1.8x - 1350[/tex]
[tex]1.4x = 2100[/tex]
[tex]x = \frac{2100}{1.4}[/tex]
[tex]x = 1500[/tex]
Terry has 1500 sweets.
Can somebody please help
Answer:
Approximately 46.29 feet
Step-by-step explanation:
To estimate the height of a skyscraper 1km in the distance, Jenny finds that if her friend Steve stands 2.5 meters away, the top of his head just lines up with the top of the building. Steve is 2 meters tall, and Jenny's eye is 1.5 meters from the ground. How high is the building
Answer:
The answer is below
Step-by-step explanation:
Similar triangle are triangles with the same shape, equal pair of corresponding angles. Also they have the same ratio of the corresponding sides.
From the diagram attached, we can see that triangle ABC and triangle CEF are similar triangles. Hence:
AB/BC = CF/EF
Given that BC = 1 km = 1000 m, CF = 2 m - 1.5 m = 0.5 m, EF = 2.5 m.
Hence:
AB/1000 = 0.5/2.5
AB = (0.5/2.5) * 1000 = 200 m
The height of the building = AB + height of Steve = 200 m + 2 m
The height of the building = 202 m