Answer:
Fs = 15 Hz > 12.7322 Hz
Hence, Nyquist theorem is NOT violated
Step-by-step explanation:
Given that;
a signal given by 15cos(20t) + 20sin(40t)
sampled at a rate of 15 Hz
Is the Nyquist theorem violated?
so;
from 15cos(20t) + 20sin(40t)
Freq F1 = 20/2π Hz
F1 = 3.1830 Hz
and
Freq F2 = 40/2π
F2 = 6.3661 Hz
Now, Nyquist's rate FN ≥ 2 × F_max
FN ≥ 2 × 6.3661
FN ≥ 12.7322 Hz
Now our given signal was sampled at a rate of 15 Hz
so, Fs = 15 Hz > 12.7322 Hz
Hence, Nyquist theorem is NOT violated
if ⅚ of a certain number is -6⅔. what is the number?
The answer would be -3 4/3
Step-by-step explanation:
ok ok ok ok I'm very sorry if i get it wrong at least I tried on this app most of the people don't even do the homework they do it to cheat.
Answer:
Dan and Paul share some money in the ratio 13:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have
Which pair of sides in this shape are parallel? R S P T RS and ST RS and PT QR and QP QR and ST
Answer:
RS and PT
Step-by-step explanation:
Judging by looks, RS and PT are going the exact same direction, and look like they don't touch. Also, if RSTP is a square, then those two are definitely parallel.
A window is in the form of a rectangle capped by a semicircle. The width of the rectangular portion is equal to the diameter of the semicircle. If the total perimeter of the window is 20 feet, what is the maximum possible area of the window
Answer:
The answer is below
Step-by-step explanation:
Let x be the diameter of the semicircle. radius = x/2
The window is a combination of a rectangle and semicircle.
Width of window = diameter = x, let length of the window = y.
Perimeter of semicircle = πr = πx/2
Perimeter of window = x + y + y + πx/2
20 = x + 2y + πx/2
2y + x + πx/2 = 20
2y = 20 - x(1 - π/2)
y = 10 - x(1 - π/2)/2
Area of semicircle = (1/2)πr² = (1/2)π(x/2)²
Area of window = xy + (1/2)π(x/2)²
A = x(10 - x(1 - π/2)/2) + πx²/8
A = 10x - x² - πx²/4 + πx²/8
A = 10x - x² - πx²/8
The maximum area is at dA / dx = 0
dA / dx = 10 - 2x - 2πx/8
0 = 10 - 2x - πx / 4
2x + πx / 4 = 10
2.785x = 10
x = 3.59 feet
Maximum area = 10x - x² - πx²/8 = 10(3.59) - 3.59² - π(3.59²) / 8
Maximum area = 17.95 feet²
Please help me with this I really need it my grades are trash. Look at the file attached. just tell me which ones are equivalent thanks!
Answer:
Top left, top right, bottom right
Step-by-step explanation:
Combine all of them together. I'll use the top left and middle left as my example. We will need to end up with 2 positive x's, 5 negative y's and the number 3.
x + x - y + 1 + 1 + 1 - y - y - y -y
We can see here there are 2 positive x's, 5 negative y's, and the number 3.
If we were to write that into an equation it would be 2x - 5y +3
With the middle left we have
-5y - x -x + 2 + 1
Here we have 2 negative x's, 5 negative y's, and the number 3.
If this were simplified it would be -2x - 5y + 3. We don't want the 2x to be negative therefore it is incorrect.
PLEASE HELP!
If Southbrook Middle School has 850 students, then how many students participate in the various number of sports: I download a picture with the question. Thank You!
Answer:
102 Non-Participation
357 One sport
238 Two sports
153 Three sports
Step-by-step explanation:
What fraction below is NOT equivalent to 1/5? *
5/25
2/10
3/8
4/20
3/4 _______ 9/12 *
=
In the problem, 156 divided by 12 = 13, what number is the "divisor?" *
156
12
13
The fractions 4/7 and 12/21 are equivalent fractions. *
True
False
What is the "difference" between 73.51 and 6.392? *
What is the "product" of 30 and 6? *
36
24
180
5
What is 4 2/5 written as an improper fraction? *
18/5
11/5
22/5
42/5
1/9 _______ 1/12 *
=
What fraction below is NOT a proper fraction. *
7/4
4/7
6/11
8/9
The fractions 2/16, 3/24, and 4/32 are ALL equivalent to what fraction? *
1/3
1/4
1/6
1/8
Giving Brainliest, It'll mean much if you'll try to help me with this! And correct me if i'm wrong but, Brainliest is VERY usefull! And yeah good luck! :D
please answer number 3. what does the y int mean in the context of this problem?
Answer:
ıts increase
Step-by-step explanation:
If MP is a perpendicular bisector to LN, find each value (picture attached)
Answer:
x=4, MN= 37, LM= 37, y=7.
Step-by-step explanation:
If MP is a perpendicular bisector to LN, then NP and LP are equivalent.
(Solve for y)
2y+2= 16
(Move the +2 to the right side of the equation)
2y= 14
(Divide both sides by 2 to isolate the variable)
y=7
To find x and the measure of MN and LM, solve for x in the following equation:
7x+9 = 11x-7
(Move 7x to the right side of the equation)
9 = 4x-7
(Move -7 to the right side of the equation.)
16= 4x
(Divide both sides by 4 to isolate the variable.)
4= x
Plug x back into both equations to get the measure of MN and ML
MN=7(4)+9
MN= 28+9
MN= 37
LM= 11(4)-7
LM= 44-7
LM= 37
I hope this helps!
Answer:
f
Step-by-step explanation:
Please help easy maths and quick. Please explain the answer first or last and make sure to say the answer is: Or something like that
Answer:
15
Step-by-step explanation:
Answer is 15 becouse these two degrees are equal
60 - 45 = 15
6. 10 X 10 X 10
exponent form:
word form:
Answer:
the exponent is 10 ^ 3 and the word form is ten times ten times ten
Step-by-step explanation:
if you need more help just ask
HELLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
What is the distance between (3, 5.25) and (3, –8.75)?
6 units
8.25 units
11.75 units
14 units
Answer:
14
Step-by-step explanation:
Answer:
D 14
Step-by-step explanation:
The total area of the polygon is 176 square feet. Find the value of x.
Answer:
x = 6 ft
Step-by-step explanation:
Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3
Area of triangle 1 = Area of triangle 3 = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(x)(8)[/tex]
= 4x square feet
Area of rectangle 2 = Length × Width
= 16 × 8
= 128 square feet
Total area of the given polygon = 4x + 128 + 4x
176 = 8x + 128
8x = 176 - 128
x = [tex]\frac{48}{8}[/tex]
x = 6 ft
Answer:
The answer is six to one of the sides
Step-by-step explanation:
Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3
Area of triangle 1 = Area of triangle 3 =
=
= 4x square feet
Area of rectangle 2 = Length × Width
= 16 × 8
= 128 square feet
Total area of the given polygon = 4x + 128 + 4x
176 = 8x + 128
8x = 176 - 128
x =
x = 6 ft
I kinda need I’ll give you 100 points
Answer:
the second one makes more sense
Answer:
This question answer is defenetily answer B ( there is a slight association between hieght and weight)
Step-by-step explanation:
Because of how the number line is set up I do believe your answer will be B Just remember the way the number line is set up when you put the number line there and how the dots of where the number line goes plays a huge part in finding your answers. :)
Hope this helps!!!!!!!!! :)
1. Solve using polynomial long division x? - 4x² + 2x + 5 Divide: X-2
ILL MARK BRAINLIST , PLS HELL
Answer:
All the four steps are correct
Step-by-step explanation:
All the four steps are correct
What is the area of an rectangle with sides lengths of 5/12 foot and 2/3 foot
Answer:
The area of given rectangle is 5/18 square feet.
Step-by-step explanation:
Let l be the length of rectangle and w be the width of the rectangle.
Given information is:
Length = l = 5/12 foot
Width = w = 2/3 foot
The area of a rectangle is given by the formula
[tex]Area = Length*Width\\A = l*w[/tex]
Putting the values for width and length
[tex]A = \frac{5}{12} * \frac{2}{3}\\= \frac{10}{36}\\=\frac{5}{18}[/tex]
The area is 5/18 square feet.
Hence,
The area of given rectangle is 5/18 square feet.
history on our 50% of 32 less than a hundred greater than 100 but less than 150 or greater than 150
Answer:
I'm not sure I understand this. elaborate a bit more and I can help tho :)
can somebody help me with these, i will mark you brainliest :)
Answer:
1). sin 30°=5/x
1/2=5/x
x=10
2)sin 30°=y/18
1/2=y/18
y=9°
cos 30°=x/18
√3/2=x/18
x=9√3
3) option D is correct
because cosine ratio is base / hypotenuse.
4) option c is correct.
Solve for x:
1 ½ - ( 5/6x + ⅓ ) = 8/9
Answer:
its x=1/3 :)))
I GIVEEEEEEEEEEEEEE BRAINLILSTTT
Answer:
(x,y) → (x -3, y-8)
Step-by-step explanation:
jsienzis
Help please! This is timed!
Answer: 14
Step-by-step explanation:
think of it like a right triangle
a²+b²=c²
13²+5²=194
ladder length= √194= 13.92≈14
Determine whether the following is an example of a sampling error or a non sampling error.
12% of all people are left handed. A researcher randomly selected 200 people and found that 16% of them were left handed. No mistakes were made in the data collection or data recording. The 4% difference is due to ...
Answer:
Sampling Error
Step-by-step explanation:
We are told that 12% of all people are left handed.
Now, from the sampling done, we are told that 16% of them were left handed.
This is a 4% difference.
However, we are told that no mistakes were made in the data collection or data recording.
This means that it is likely the error came from the fact that the 200 people sampled didn't reflect the total population because the 12% reflects the true population.
Thus, this is clearly a sampling error.
please help me i am stuck trying to figure this out
I believe the answer is C
Which equations passes through point (5, 1) with an x-intercept of 4?
O y=x-4
O y = 5x + 1
Oy - 4x + 1
O y = x + 5
Please I really need help!
Answer:
26 if we not adding then -12
Step-by-step explanation:
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 150 engines and the mean pressure was 6.3 pounds/square inch (psi). Assume the population variance is 0.49. If the valve was designed to produce a mean pressure of 6.2 psi, is there sufficient evidence at the 0.05 level that the valve does not perform to the specifications?
Answer:
We are given that The valve was tested on 150 engines and the mean pressure was 7.7 lbs/square inch.
We are also given that the valve was designed to produce a mean pressure of 7.6 lbs/square inch
So,
Null hypothesis:
Alternate hypothesis :
Since n > 30 and population standard deviation is given
So, We will use z test
Formula :
Substitute the values
refer the z table for p value
so, p value is 0.9927
Since it is a two tailed test So, p = 2(1- 0.9927) = 0.0146
α = 0.1
p value< α
So, we reject null hypothesis
Hence There is sufficient evidence at the 0.1 level that the valve does not perform to the specifications
Step-by-step explanation:
No, there is insufficient evidence at the 0.02 level that the valve does not perform to the specifications.
Step-by-step explanation:
We are given that an engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 170 engines and the mean pressure was 7.5 pounds/square inch (psi). Assume the population variance is 0.36 and the valve was designed to produce a mean pressure of 7.4 psi.
We have to test if there sufficient evidence at the 0.02 level that the valve does not perform to the specifications.
Let, NULL HYPOTHESIS, H_0H
0
: \muμ = 7.4 psi {means that the valve perform to the specifications}
ALTERNATE HYPOTHESIS, H_1H
1
: \mu\neqμ
= 7.4 psi {means that the valve does not perform to the specifications}
The test statistics that will be used here is One-sample z-test;
T.S. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }
n
σ
X
ˉ
−μ
~ N(0,1)
where, \bar X
X
ˉ
= sample mean pressure = 7.5 psi
\sigmaσ = population standard deviation = \sqrt{Variance}
Variance
= \sqrt{0.36}
0.36
= 0.6
n = sample of engines = 170
So, test statistics = \frac{7.5-7.4}{\frac{0.6}{\sqrt{170} } }
170
0.6
7.5−7.4
= 2.173
Now, at 0.02 significance level z table gives critical value of 2.3263. Since our test statistics is less than the critical value of z so we have insufficient evidence to reject null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the valve perform to the specifications and there is not sufficient evidence at the 0.02 level that the valve does not perform to the specifications.
Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to two decimal places.
f(x)=x^2+6x, where x goes from 5 to 7.
Answer:
The average rate of change of the function in this interval is of 18.
Step-by-step explanation:
The average rate of change of a function [tex]f(x)[/tex] in an interval from a to b is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
[tex]f(x) = x^2 + 6x[/tex]
Where x goes from 5 to 7.
This means that [tex]b = 7, a = 5[/tex]. So
[tex]f(7) = 7^2 + 6(7) = 49 + 42 = 91[/tex]
[tex]f(5) = 5^2 + 6(5) = 25 + 30 = 55[/tex]
The rate of change is:
[tex]A = \frac{f(7) - f(5)}{7 - 5} = \frac{91 - 55}{2} = 18[/tex]
The average rate of change of the function in this interval is of 18.
The rate of change of a function over a given interval is required.
The average rate of change is 18
Rate of changeThe given function is
[tex]f(x)=x^2+6x[/tex]
The interval is between [tex]x=5[/tex] to [tex]x=7[/tex]
Finding the corresponding [tex]y[/tex] values
[tex]y=5^2+6\times 5=55[/tex]
[tex]y=7^2+6\times 7=91[/tex]
The two points are
[tex](5,55),(7,91)[/tex]
The slope is
[tex]m=\dfrac{\Delta y}{\Delta x}\\\Rightarrow m=\dfrac{91-55}{7-5}\\\Rightarrow m=18[/tex]
Learn more about rate of change:
https://brainly.com/question/8728504
PERIMETER OF A RECTANGLE
1.5m height
2.0m width
Answer:
7.0m
Step-by-step explanation:
=2h ×2w
=2(1.5m)+2(2.0m)
=7.0m
help me please thanks
Which tables shows a proportional relationship between X and Y.
Answer:
the secound option :)