Answer:
∠ EBF = 16°
Step-by-step explanation:
note that EB is the angle bisector of ∠ ABF , then
∠ ABE = ∠ EBF = 2x and
∠ ABF = ∠ ABE + ∠ EBF , that is
7b - 24 = 2b + 2b
7b - 24 = 4b ( subtract 4b from both sides )
3b - 24 = 0 ( add 24 to both sides )
3b = 24 ( divide both sides by 3 )
b = 8
Then
∠ EBF = 2x = 2(8) = 16°
For any linear phase filter, prove that if zo is a zero, then so must zo¹ be
We have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.
For a linear phase filter, the phase response is linearly proportional to the frequency. Let's consider a linear phase filter with a zero at frequency zo. The transfer function of the filter can be expressed as H(z) = A(z - zo), where A is a constant and z represents the complex frequency variable.
To find the zero at zo¹, we need to analyze the filter's transfer function at a frequency offset from zo. Let's substitute z with (z - Δz) in the transfer function, where Δz represents a small frequency offset. The new transfer function becomes H(z - Δz) = A((z - Δz) - zo).
Now, let's evaluate the new transfer function at the frequency zo¹ = zo + Δz. Substituting zo¹ into the transfer function, we have H(zo¹ - Δz) = A((zo¹ - Δz) - zo).
Expanding the equation, we get H(zo¹ - Δz) = A(zo¹ - Δz - zo) = A(zo - zo + Δz - Δz) = A(0) = 0.
Therefore, we have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.
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What is the value of v if 11 +v= 44 ?
Answer:
Hi! answer: v = 33
Step-by-step explanation:
44 - 11 = 33 11 + 33 = 44 so v = 33
Help I need the answer dont send NO FILE only answer if you know it step by step explanation
Answer:
See below.
Step-by-step explanation:
Use the same method as before. Go from each original point in a direction perpendicular to the line of reflection, and then go the same distance to the other side of the line.
Oranges cost 85 cents each.
Leo has a $10 note.
Work out the maximum number of oranges he can buy
Answer:
11
Step-by-step explanation: 100 cents- $1
85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 = 935
935 or 9.35 dollars
Help me with this questyion plzz
Answer:
-1 < x < 1
3 < x < 5
How do you find the Surface area of a rectangular prism make it simple and correct answer gets brainliest
The rectangular prism's length, width, and height can also be labelled, and the surface area (SA) can be calculated using the formula:
SA = 2lw+2lh+2hw.
Explain about the rectangular prism?A face is just a flat surface in the geometric sense, and edges are formed where surfaces meet. Pyramids and prisms are both examples of polyhedra. A pyramid, however, is not a prism.
A polyhedron having two identical and parallel faces is referred to as a prism.A rectangular prism is one of the more typical shapes for prisms. One definition of a rectangular prism is a prism with rectangle-shaped bases. An other faces also were rectangles because the bases are rectangles.Method to find surface area:
A three-dimensional shape's surface area is the total area on its surface. Add these areas of each of the six rectangular sides of a cuboid to determine its surface area.Thus, the rectangular prism's length, width, and height can also be labelled, and the surface area (SA) can be calculated using the formula:
SA = 2lw+2lh+2hw.
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Surface Area = (width×length + height×length + height×width) × 2
—————
Please remember to revise this and make it in your own words if you want! I tried making this as simple as possible! I hope this helps you. -Doodle
—————
I need the answer ASAP I'm being timed on this please help.
Answer:
61.67 supplementary
Step-by-step explanation:
good luck!
Answer:
A
Step-by-step explanation:
give brainliest
supplementary 61.67
please help asap !!!!!!! <33 I'll mark you as the brainliest
Answer:
n = 3
Step-by-step explanation:
Hope this helps you! :))
Answer:
n= 3
Step-by-step explanation:
when there is a multiplication with the same base, you can rewrite the base and make the sum of the exponents
3^(5+n) = 3^8
5 +3 = 8
so n=3
Find the formula if
m% of n is what percent of p
The formula for what percent of p is mn/p
How to determine the formula?From the question, we have the following parameters that can be used in our computation:
m% of n is what percent of p
This statement can be expressed as
m% of n is x percent of p
Express the statement as an equation
So, we have the following representation
m% * n = x% * p
The goal of this solution to make x the subject of formula
So, we multiply both sides by 100
This gives
m * n = x * p
Divide both sides by p
x = mn/p
Hence, the expression is mn/p
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The coefficient of x^7 in the expression (x^3+4/x^2)^4 is
The coefficient of x⁷ in the given expression is 16.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given is the expression [x³ + (4 / x²)]⁴.
[x³ + (4 / x²)]⁴ = (x³ + 4x⁻²)⁴
= (x³ + 4x⁻²)² (x³ + 4x⁻²)²
= (x⁶ + 8x + 16x⁻⁴) (x⁶ + 8x + 16x⁻⁴)
= x¹² + 8x⁷ + 16x² + 8x⁷ + 64x² + 128x⁻³ + 16x² + 128x⁻³ +
256x⁻⁸
Rearranging with like terms, we get,
= x¹² + 16x⁷ + 96x² + 256x⁻³ + 256x⁻⁸
Hence the coefficient of x⁷ is 16.
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how do i Evaluate 20^2
Answer:
boom
Step-by-step explanation:
Answer:
400
Step-by-step explanation:
All you have to do is multiply 20 by itself one time. You get 400.
So, 20^2 is 400.
Point A i located at (12, -2) and point B i located at (-3, -2). What i the ditance from point A to point B?
The distance between A and B is 15 units. It can be obained by distance formula.
What is distance formula?
If coordinates of two points are known then distance between these two points can be calculated by using ditance formula.
If cordinate of A is \((x_1,y_1)\) and coordinate of B is \((x_2,y_2)\) then the length AB is given by the following formula:
\(AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The distance formula can be derived by using Pythagoras theorem. It very useful and powerful tool because it can calculate distance between two points without any physical measurement. It is use to solve many problems of mathematics and physics.
Now, A(12,-2) and B(-3,-2). Hence, \(x_1=12,x_2=-3,y_1=-2,\ \text{and}\ y_2=-2\)Substitute the value in the above formula.
\(AB=\sqrt{(-3-12)^2+(-2-(-2))^2}\)
Now, solve it as follows:
\(AB=\sqrt{(-15)^2+(0)^2}\\=\sqrt{225}\\=15\)
Hence, the distance between A and B is 15 units.
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Santos flipped a coin 300 times. The coin landed heads up 125 times. Find the ratio of heads to total number of coin flips. Express as a simplified ratio. Answers:
A- 5 to 12
B- 7 to 12
C- 12 to 5
D- 5 to 7
Answer:
5/12
Step-by-step explanation:
No. of times coin landed head up / Total no. of flips
= 125 / 300
= 25*5 / 25*12
= 5 / 12
if dy/dx=0 for a given value of x, then the line tangent to the curve y=f(x) at that value is horizontal. True/False
True. If the derivative (dy/dx) of a function f(x) is zero at a particular value of x, then the slope of the tangent line at that point is also zero, which means it is a horizontal line.
A tangent line is a straight line with the same slope as the curve it touches at a single point on a curve. A local approximation of the curve close to the point of contact is provided. Finding the slope of the curve at a given location, which is determined by the derivative of the curve at that position, is necessary to determine the equation of a tangent line to a curve at that point. The equation of the tangent line is then written using the point-slope form of a line. Calculus relies on tangent lines to help students comprehend how functions and their derivatives behave.
This is because the derivative represents the rate of change (slope) of the function at any given point, and if it is zero, then the function is not changing (not curving) at that point.
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am i right 50 points
Enter the missing numbers in the boxes to complete the table of equivalent ratios.
Answer:
your right
Step-by-step explanation:
The scoring of modern IQ tests is such that Intelligence Quotients (IQs) have a normal distribution with mean μ=95 and standard deviation σ=16. (a) What percent of people have IQ less than 90 ? (b) What percent of people have IQ greater than 140 ? (c) Mensa International is a non-profit organization that accepts only people with IQ within the top 1%. What level of IQ qualifies one to be a member of Mensa?
An IQ of approximately 57.78 or higher qualifies one to be a member of Mensa International.
(a) To find the percent of people with an IQ less than 90, we need to calculate the area under the normal distribution curve to the left of 90. We can use z-scores to find this probability.
First, we calculate the z-score corresponding to an IQ of 90 using the formula:
z = (x - μ) / σ
where x is the IQ value, μ is the mean, and σ is the standard deviation.
z = (90 - 95) / 16
= -0.3125
Using a standard normal distribution table or a calculator, we find that the area to the left of z = -0.3125 is approximately 0.3770.
This means that approximately 37.70% of people have an IQ less than 90.
(b) To find the percent of people with an IQ greater than 140, we need to calculate the area under the normal distribution curve to the right of 140.
Using the same formula, we calculate the z-score:
z = (140 - 95) / 16
= 2.8125
Using a standard normal distribution table or a calculator, we find that the area to the right of z = 2.8125 is approximately 0.0026.
This means that approximately 0.26% of people have an IQ greater than 140.
(c) Mensa International accepts only people with IQ within the top 1%. This means that the IQ score qualifying one to be a member of Mensa is at or above the IQ score that corresponds to the area of 0.01 (1%).
Using a standard normal distribution table or a calculator, we find the z-score corresponding to an area of 0.01 to be approximately -2.3263.
Now we can calculate the IQ value:
z = (x - μ) / σ
-2.3263 = (x - 95) / 16
Solving for x, we find:
x - 95 = -2.3263 * 16
x - 95 = -37.2208
x = -37.2208 + 95
x ≈ 57.78
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Help brainly fast giving brainlist
Answer: B and C
Step-by-step explanation:
Answer:
A, B, and C
Step-by-step explanation:
If Figure M is a scaled copy of Figure N, the shape will stay the same, the angles will stay the same, and the edges will stay the same. The only thing that will change is the perimeters and area.
I WILL GIVE BRAINIEST, PLEASE HELP
Answer:
A = (1, 10)
B = (4,10)
C = (4, 14)
D = (1, 16)
Step-by-step explanation:
Okay, so first, we move, or translate the quadrilateral PQRS down -8 spaces on the graph, turning old points:
P (1, -2) = (1, -10) Q (4, -2) = (4, - 10) S (1, -8) = (1, -16) and R (4, -6) = (4, -14)
Now, we need to rotate this new box into -x, y. So our new points are:
(1, -10) = (-1, 10) (4, -10) = (-4, 10) (1, -16) = (-1, 16) and (4,-14) = (-4, 14)
Now we're reflecting off the y-axis, making our x change. So for our final points:
A(1, 10) B (4,10) D(1, 16) and C(4, 14)
Hope this helps! Please check my math and comment wether this worked or not! :)
Answer:
hi
Step-by-step explanation:
Find the mean for the given data set.
-7, -8, 9, -15, 25, -6, 21, -20, 10
1
9
-5
Answer:
1
Step-by-step explanation:
Mean is the average amount of numbers. To find the mean, add all the numbers up and then subtract by how many there are.
All of those numbers together equal 9 and because there are 9 values there, I divided them which gave me 1.
The shapes below are mathematically similar.
х
8 cm
9 cm
12 cm
Calculate the length of side x.
Answer the value of x
Answer:
37
Step-by-step explanation:
bec its 10 sides shape so its sum of angles equals 1440 so you will sum all these angles and minust it from 1440
HELP PLSSSSSSS
Which function is differentiable for all values of x over the interval (-5,5)?
Answer:
1
Step-by-step explanation:
The function f(x)=e⁴⁻ˣ is differentiable for all values of x over the interval (-5,5)
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
There are a few ways to tell- the easiest would be to graph it out- and ask yourself a few key questions
Function is continuous over the interval. If it is continuous it is probably differentiable
Does the function have any sharp turns in the interval. A sharp turn means it is not differentiable at that point and therefore not differentiable on the entire interval
f(x)=e⁴⁻ˣ is differentiable over (-5, 5)This is because the exponential function is continuous and infinitely differentiable
Hence, the function f(x)=e⁴⁻ˣ is differentiable for all values of x over the interval (-5,5)
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write 7×7×7×7×7×7 in index
Answer:
117649
Step-by-step explanation:
hope this helps :)
Answer:
117649
Step-by-step explanation:
The difference of two numbers is 5, the numbers are in the ratio 3:4. So the numbers are 15 and 20 True or False
Answer:
True
Step-by-step explanation:
We need to verify whether 15 and 20 are the correct solution to the rule of "The difference between the 2 number is 5 and the number are in the ratio 3 : 4". Let's see,
First rule → The difference between the 2 numbers is 5
20 - 15 = 5 ⇒ Correct
Second rule → The numbers are in the ratio 3 : 4
15 : 20 ( ÷ 5 to both ratio's ) 3 : 4 ⇒ Correct
Answer:
Trueplease see the attached picture for full solution
hope it helps...
Good luck on your assignment..
A backpack that normally sells for $39 is on sale for $25. Find the
percent of change.
Answer: To find the discount, simply multiply the original selling price by the %discount:
ie: 39 x 33/100= $12.87
So, the discount is $12.87.
Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:
ie: 39- 12. 87= 26.13
So, the sale price is $26.13
which point in the solution set of the given inequalities?
In the image, we can identify the region of the plane in which the two subregions overlap (the part of the graph which has vertical and horizontal lines). We can obtain the values of x and y in that region by means of the inequalities, in this way:
\(\begin{cases}x+y>2 \\ 4x+y\ge-1\end{cases}\)We solve the first inequality for y
\(y>2-x\)This gives us the first constrain for the value of y
Now, to obtain the second constrain we simply need to use the second inequality:
\(\begin{gathered} 4x+y\ge-1 \\ \Rightarrow y\ge-1-4x \end{gathered}\)Finally, the last step is to get the constraints for the value of x.
For this, we can directly analyze the image of the region, notice how it covers any value of x. This means that there are no constraints for the value of x.
\(\Rightarrow x\in\mathfrak{\Re }\)So, the region is given by:
\(x\in\mathfrak{\Re },\begin{cases}y>2-x \\ y\ge-4x-1\end{cases}\)Finally, the point that is in the region is the one that satisfies the previous inequalities.
1. (2,0)
If x=2, then
\(\begin{gathered} ,\begin{cases}y>2-2=0 \\ y\ge-4(2)-1=-9\end{cases} \\ \Rightarrow y>0 \end{gathered}\)So, (2,0) cannot be the correct option
2. (0,2)
\(\begin{gathered} \begin{cases}y>2-0=2 \\ y\ge-4(0)-1=-1\end{cases} \\ \Rightarrow y>2 \end{gathered}\)This means that (0,2) cannot be the right option
3. (0,3) notice that the same condition (y>2) holds in this situation too (since x=0)
But y=3>2. This point indeed satisfies the conditions! (0,3) is the answer
4. (0,-1) Notice that in this case y=-1 but it should happen that y>2. So this point cannot be in the region
a central angle of 2 radians off an arc of length 6 inches. find the area of the sector formed
\(\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =2\\ s=6 \end{cases}\implies 6=r2\implies \cfrac{6}{2}=r\implies 3=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=3\\ \theta =2 \end{cases}\implies A=\cfrac{(2)(3)^2}{2}\implies A=9~in^2\)
I need help please help me.
Samantha works 35 hours per week. She works twice as long on
Monday and Tuesday as she does
on Wednesday, Thursday, and Friday. How many combined hours did
Samantha work Tuesday and
Wednesday?
Samantha worked a combined total of 17 hours on Tuesday and Wednesday. Let's denote the number of hours Samantha works on Wednesday, Thursday, and Friday as x.
Since she works twice as long on Monday and Tuesday, her hours on Monday and Tuesday would be 2x each. We can now calculate the total hours for the entire week:
Monday: 2x hours
Tuesday: 2x hours
Wednesday: x hours
Thursday: x hours
Friday: x hours
The total number of hours worked in a week is 35. Therefore, we can write the equation:
2x + 2x + x + x + x = 35
Combining like terms, we simplify the equation:
6x = 35
To solve for x, we divide both sides of the equation by 6:
x = 35 / 6 ≈ 5.83
Since we can't have fractional hours, we round down to the nearest whole number. Thus, Samantha works approximately 5 hours on Wednesday, Thursday, and Friday. Therefore, the combined hours she works on Tuesday and Wednesday would be:
Tuesday: 2x = 2 * 5.83 ≈ 11.67 (rounded to 12)
Wednesday: x = 5
The combined hours Samantha worked on Tuesday and Wednesday is 12 + 5 = 17 hours.
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If M is the midpoint of segment AB, and AM = x+3 and AB = 3x-4, determine the length of segment AB.
Answer:
AB=2AM
3x-4=2(x+3)
3x-4=2x+6
3x-2x=4+6
x=10
So length AB 3x-4=3(10)-4
30-4=26
The length of AB is 26 units.
What is a line segment ?A line segment is denoted by two endpoints.
According to the given question M is the midpoint of segment AB.
Given, AM = x + 3 and AB = 3x - 4.
As AM is the midpoint if we take twice of AM that will be equal to AB.
∴ 2(AM) = AB
2(x+3) = 3x - 4.
2x + 6 = 3x - 4.
2x - 3x = -4 - 6.
-x = - 10.
x = 10.
So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.
= 30 - 4
= 26 units.
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