The value of measure of ''angle f'' in the figure will be 46°.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
In the figure,
The value of angle a and e are;
⇒ a = 115°
⇒ e = 69°
Now,
Since, There are two parallel lines shown in figure.
Hence, We know by the definition of alternate angles of parallel lines,
⇒ ∠a = ∠f + ∠e
Here, We have to given that;
The angles are,
⇒ a = 115°
⇒ e = 69°
So, We get by substitute the value of angle a and e;
⇒ ∠a = ∠f + ∠e
⇒ 115° = ∠f + 69°
Subtract 69° both side, we get;
⇒ ∠f = 115° - 69°
⇒ ∠f = 46°
Thus, The value of measure of angle f;
⇒ ∠f = 46°
Learn more about the triangle visit:
https://brainly.com/question/17335144
#SPJ1
I am a 4-digit number, identity unknown.
1. My thousands digit is twice my tens digit.
2. My hundreds digit is 1 less than my tens digit.
3. My ones digit is not 0.
4. The sum of my digits is 11.
5. All of my digits are different.
What number could it be?
Answer:
4214
Step-by-step explanation:
four is twice the hundreds which is 2 and the tens(1) is less than two by one and 4 plus 2 plus 1 minus eleven is four
1. Given that the mean of the scores 15, 21, 17, 16, 26, 18 and 29 is 21. Calculate the standard deviation. A.√10 b. 4 c. 5 d. √30 2.
2. Calculate the standard deviation of the following set of numbers 2, 3, 4, 4, 5,6.
Answer:
1) c. 5
2) 1.29
Step-by-step explanation:
1. To calculate the standard deviation, we first need to find the variance. The variance is the average of the squared differences from the mean.
Step 1: Find the differences from the mean:
15 - 21 = -6
21 - 21 = 0
17 - 21 = -4
16 - 21 = -5
26 - 21 = 5
18 - 21 = -3
29 - 21 = 8
Step 2: Square the differences:
(-6)^2 = 36
0^2 = 0
(-4)^2 = 16
(-5)^2 = 25
5^2 = 25
(-3)^2 = 9
8^2 = 64
Step 3: Find the average of the squared differences:
(36 + 0 + 16 + 25 + 25 + 9 + 64) / 7 = 175 / 7 = 25
Step 4: Take the square root of the variance to find the standard deviation:
√25 = 5
Therefore, the standard deviation is 5.
2. To calculate the standard deviation for the set of numbers 2, 3, 4, 4, 5, 6:
Step 1: Find the mean:
(2 + 3 + 4 + 4 + 5 + 6) / 6 = 24 / 6 = 4
Step 2: Find the differences from the mean:
2 - 4 = -2
3 - 4 = -1
4 - 4 = 0
4 - 4 = 0
5 - 4 = 1
6 - 4 = 2
Step 3: Square the differences:
(-2)^2 = 4
(-1)^2 = 1
0^2 = 0
0^2 = 0
1^2 = 1
2^2 = 4
Step 4: Find the average of the squared differences:
(4 + 1 + 0 + 0 + 1 + 4) / 6 = 10 / 6 ≈ 1.67
Step 5: Take the square root of the variance to find the standard deviation:
√1.67 ≈ 1.29
Therefore, the standard deviation is approximately 1.29
the area under the entire probability density curve is equal to ____
The probability density function is defined as the derivative of the cumulative distribution function. It represents the relative likelihood of a continuous random variable taking on a specific value. The total area under the probability density curve is always equal to 1.
For a continuous random variable X, the probability density function f(x) satisfies the following properties:
1. Non-negativity: f(x) ≥ 0 for all x.
2. Integrates to 1: The integral of the probability density function over the entire range of X is equal to 1:
∫[−∞, ∞] f(x) dx = 1
This integral represents the total area under the probability density curve, which must be equal to 1.
To calculate the probability of X falling within a certain interval [a, b], we can use the probability density function as follows:
P(a ≤ X ≤ b) = ∫[a, b] f(x) dx
This integral gives the probability that X takes on a value between a and b.
Learn more about probability density function from the given link
https://brainly.com/question/31039386
#SPJ11
An ice cube is freezing in such a way that the side length s, in inches, is s(t)=1/2t+4, where it is in hours. The surface area of the ice cube is the function A(s) = 6s²_
Part A: Write an equation that gives the volume at t hours after freezing begins. (2 points)
Part B: Find the surface area as a function of time, using composition, and determine its range. (4 points)
Part C: After how many hours will the surface area equal 294 square inches? Show all necessary calculations. (4 points)
Help Please!!
The equation of volume will be V = [(1/2)t + 4]³. The surface area as a function of time will be A(s) = 3/2 t² + 24t + 96. The number of hours when the surface area equal 294 square inches will be 3 1/2 hours.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
Part A: The equation that gives the volume at t hours after freezing begins will be
V = s³
V = [(1/2)t + 4]³
Part B: The surface area as a function of time, using composition, and determine its range will be
A(s) = 6(1/2 t + 4)²
A(s) = 6 (t²/4 + 4t + 16)
A(s) = 3/2 t² + 24t + 96
Part C: The number of hours when the surface area equal 294 square inches will be
294 = 6(1/2 t + 4)²
49 = (1/2 t + 4)²
7 = 1/2 t + 4
1/2 t = 3
t = 3 1/2 hours
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
Consider the cube defined by…
Answer:
Refer to the attached image.
Step-by-step explanation:
1.
What type of polynomial is this?
- 3x3 - x2 - 10x + 12
O a) Monomial
c) Trinomial
O b) Binomial
d) Polynomial
Answer:
monomial
Step-by-step explanation:
can you plz help and can you plz explain
Answer:
341 centimeters
Step-by-step explanation:
The question is wanting to know how much wallpaper (in centimeters) was removed. Since your wanting your answer in centimeters make sure that all your measurements are in centimeters first. We see that one piece is measured in meters, so to covert it from meters to centimeters we multiply by 100 because they're are 100 centimeters in a meter.
1.5×100= 150 centimeter
Now we can add all the lengths together
110+150+81= 341 centimeters
Hope this helped!
What is 8 ×4 - 3×7+9
8×4=32
3 × 7 = 21 +9 = 30
32 - 30 = 2
find area of sector==
Answer:
63.35
Step-by-step explanation:
1. Remember the sector formula which is Ø/360 x pi x radius squared
2. Square the radius (11 in this question)
3. 11 squared is 121
4. Get the answer from the squared radius and multiply it by pi
5. 121 times pi is 380.13
6. Mulitply the final number on that side by the degree over 360
7. 380.13 times 60/360 is 63.35
8. In the end you get 63.35 or if rounding to the nearest tenth 63.4
Hope this helps! Correct me if im wrong! :) Have a nice day!
Pleaseee ANWSER ASAP!!!!
Answer:
I can't see the fourth option, but the answer would be C.
Step-by-step explanation:
It's the only graph that fits the question.
the percentage of boys who play varsity soccer is ✔ less than the percentage of girls who play varsity soccer. the proportion of boys who play freshman b-ball is ✔ greater than the proportion of girls who play freshman b-ball. the percentage of boys who play varsity tennis is ✔ the same as the number of girls who play varsity tennis.
There are variations in the participation prices of boys and girls across unique sports, with boys having decreased representation in varsity soccer, better representation in freshman basketball, and identical illustration in varsity tennis compared to ladies.
Based on the given statements:
The percentage of boys who play varsity soccer is much less than the share of ladies who play varsity football.
The share of boys who play freshman basketball is extra than the share of girls who play freshman basketball.
The percentage of boys who play varsity tennis is the same as the variety of women who play varsity tennis.
We can finish subsequent:
Boys have a lower representation in varsity football as compared to ladies.
Boys have a higher representation in freshman basketball in comparison to ladies.
The percentage of boys playing varsity tennis is identical to the proportion of women playing varsity tennis.
These statements suggest differences in participation fees and proportions between boys and women in unique sports activities.
To know more about percentages,
https://brainly.com/question/24877689
#SPJ4
The correct question is:
"The percentage of boys who play varsity soccer is ✔ less than the percentage of girls who play varsity soccer. the proportion of boys who play freshman b-ball is ✔ greater than the proportion of girls who play freshman b-ball. the percentage of boys who play varsity tennis is ✔ the same as the number of girls who play varsity tennis.
What can you conclude from the above statements?"
can anyone help me solve these please ?
Answer:
dufenschmertz evil incorporated...
Step-by-step explanation:
after hours ;)
Let f be a function that has derivatives of all orders for all real numbers. Assume f(0)=5, f' (0)= -3, f''(0)= 8, and f '''(0)= 24. Write the third order Taylor polynomial for f at x=0 and use it to approximate f(0.4). Any level of detail is much appreciated, Thanks!
The third-order Taylor polynomial for a function f with derivatives at x=0 is given by:
P_3(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3
P_3(x) = 5 - 3x + (8/2)x^2 + (24/6)x^3
P_3(0.4) = 5 - 3(0.4) + 4(0.4)^2 + 4(0.4)^3 ≈ 4.296
So, the approximation of f(0.4) using the third-order Taylor polynomial is approximately 4.296.
The partial sum containing the first n + 1 terms of the Taylor series is an n-order polynomial called the nth-order Taylor polynomial of the function. Taylor polynomials are generally approximate for functions that get better as n increases. Taylor's theorem provides a quantitative estimate of the resulting error using this approach. If the series of Taylor functions converge, the sum is the limit of an infinite number of Taylor polynomials. A function can diverge from the equation of the Taylor series even if the Taylor series converges.
The third-order Taylor polynomial for f at x=0 is given by:
f(x) = f(0) + f'(0)x + (f''(0)/2)x^2 + (f'''(0)/6)x^3
Substituting the given values, we get:
f(x) = 5 - 3x + 4x^2 + 4x^3
To approximate f(0.4), we plug in x=0.4 into the polynomial:
f(0.4) ≈ 5 - 3(0.4) + 4(0.4)^2 + 4(0.4)^3
≈ 4.4688
Therefore, using the third-order Taylor polynomial, we can approximate f(0.4) to be approximately 4.4688.
Learn more about Taylor polynomial:
brainly.com/question/31419648
#SPJ11
Jason packs a box full of styrofoam pieces how many square inches of styrofoam can the box fold ?
The number of styrofoam is 11.
What is a cube?
It is a polygon having six faces.
The volume of a cube is a side³
We have,
The area of the box = 44 square inches
Styrofoam is considered a square shape.
The side length of the styrofoam = 2 in
The area of the foam = 2² = 4 square inches
Now,
The number of styrofoam.
= 44 / 4
= 11
Thus,
11 styrofoam.
Learn more about cubes here:
https://brainly.com/question/11168779
#SPJ9
Complete question:
Jason packs a box full of styrofoam pieces in a rectangular shape surface with an area of 44 square inches.
Each styrofoam is a square shape with a side length of 2 inches.
How many square inches of styrofoam can the box fold ?
Convert to a decimal. 13 --- 4
when a has linearly independent columns and a = qr is a qr factorization, then the columns of q form an orthonormal basis for the column space of a.
The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).
What is meant by QR factorization?A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.
A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.
A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.
To learn more about QR factorization refer to:
https://brainly.com/question/22767840
#SPJ4
New ear buds cost $48. There is a 10% discount. What is the new cost?
Answer:
43.2
Step-by-step explanation:
10%=0.1 so subr=tract and you get 43.2
Answer: $43.20
48
-4.80
=43.20
pls mark brainliest and tell me if it helped!!! have a great day!!!
Help, needed ASAP Thank you!!
Answer:
∠S = 105°
∠T = 95°
Step-by-step explanation:
Cyclic quadrilateral:
Quadrilateral MNST is a cyclic quadrilateral. In cyclic quadrilateral, the opposite angles are supplementary.
m∠S + m∠M = 180°
3x + 2x + 5 = 180
5x + 5 = 180 {Combine like terms}
5x = 180 - 5 {Subtract 5 from both sides}
5x = 175
x = 175 ÷ 5 {Divide both sides by 5}
x = 35°
∠S = 3x
= 3 * 35
= 105°
∠T = 3x - 10
= (3*35) - 10
= 105 - 10
= 95°
fo [²₂" 1 1 6 ² 20 ² If x⁹e¹ dx A, then = x ¹0 e dx = -e M
The expression gives the value of the integral \($\int_{22}^{116} x^9e^xdx$\).
Given the integral \($\int xe^xdx$\), we can use integration by parts to solve it. Let's apply the integration by parts formula, which states that \($\int udv = uv - \int vdu$\).
In this case, we choose \($u = x$\) and \($dv = e^xdx$\). Therefore, \($du = dx$\) and \($v = e^x$\).
Applying the integration by parts formula, we have:
\($\int xe^xdx = xe^x - \int e^xdx$\)
Simplifying the integral, we get:
\($\int xe^xdx = xe^x - e^x + C$\)
Hence, the solution to the integral is \($\int xe^xdx = xe^x - e^x + C$\).
To find the value of the integral \($\int x^9e^xdx$\), we can apply the integration by parts formula repeatedly. Each time we integrate \($x^9e^x$\), the power of x decreases by 1. We continue this process until we reach \($\int xe^xdx$\), which we already solved.
The final result is:
\($\int x^9e^xdx = x^9e^x - 9x^8e^x + 72x^6e^x - 432x^5e^x\)\(+ 2160x^4e^x - 8640x^3e^x + 25920x^2e^x - 51840xe^x + 51840e^x + C$\)
Now, if we want to evaluate the integral \($\int_{22}^{116} x^9e^xdx$\), we can substitute the limits into the expression above:
\($\int_{22}^{116} x^9e^xdx = [116^{10}e^{116} - 9(116^9e^{116}) + 72(116^7e^{116}) - 432(116^6e^{116}) + 2160(116^4e^{116})\)\(- 8640(116^3e^{116}) + 25920(116^2e^{116}) - 51840(116e^{116}) + 51840e^{116}] - [22^{10}e^{22} - 9(22^9e^{22}) + 72(22^7e^{22}) - 432(22^6e^{22}) + 2160(22^4e^{22}) - 8640(22^3e^{22}) + 25920(22^2e^{22}) - 51840(22e^{22}) + 51840e^{22}]$\)
This expression gives the value of the integral \($\int_{22}^{116} x^9e^xdx$\).
Learn more about integration
https://brainly.com/question/31744185
#SPJ11
Help me out im stuck
Answer:
m<1 = 57
Step-by-step explanation:
they are vertical angles
Answer:
C. 57
Step-by-step explanation:
Angles verticle from each other are the same measure.
Ernest has been tracking the value of his car every year since he bought it.Year0123Car value ($) 30,000 27,000 24,300 21,870Complete the sentence.Ernest should usefunction ? (Exponential or linear) to model the value of his car because the ? Ratio or difference between successive car values is constant.
step 1
Verify if the function to model the value of the car is linear
Find out the difference between successive car values
27,000-30,000=-3,000
24,300-27,000=-2,700
21,870-24,300=-2,430
The value is not a constant
step 2
Verify if the function to model the value of the car is exponential
Find out the ratio between successive car values
27,000/30,000=0.9
24,300/27,000=0.9
21,870/24,300=0.9
The ratio is a constant value
so
The function is exponential
The answers are
exponential and ratioThe ratio of Tom’s money to Bill’s money is $ 7 to $13. If Bill has $39, how much money does Tom have?
pls help
Answer: then Tom has 21$
Step-by-step explanation:the ratio is just a fancy way of saying Tom has 7 dollars for every 13 dollars bill has so if bill has 39 dollars 39 dollars divided by 13 is 3 meaning Tom would do 7x3
Matthew has 170 tiles he can use for this project. Identify the largest patio design that he can make. Show or explain your reasoning.
Answer:
Design 12Step-by-step explanation:
See the attached for missing part of the questionAs we see each design comprises of entrance and exit - each one tile and:
Design 1 has 1 row and 3 columns,Design 2 has 2 rows and 4 columns,Design 3 has 3 rows and 5 columns.So design x has x rows and two more columns according the pattern we observe.
The number of tiles of design x is:
x by (x + 2) and 2 more tilesWe can put it as equation to get 170 tiles and solve for x:
x(x+2) + 2 = 170x² + 2x - 168 = 0x² - 12x + 14x - 168 = 0x(x - 12) + 14(x - 12) = 0(x + 14)(x - 12) = 0x = - 14 (discarded as negative root)x = 12 (the solution)So this is a design 12
It has 12 rows, 14 columns, 1 entrance and 1 exit tiles, the total number is
12*14 + 2 = 170 tilescan the tangent constraint be applied between a line and an arc?
Yes, the tangent constraint can be applied between a line and an arc in many CAD (Computer-Aided Design) software programs.
In CAD, a tangent constraint is a geometric constraint that forces two entities (lines, arcs, circles, etc.) to share a common tangent at their point of contact. When you apply a tangent constraint between a line and an arc, the software will ensure that the line and the arc are always tangent to each other at their point of intersection.
This constraint is useful for designing mechanical components, such as gears or cams, where you need to ensure that the contact between two parts is smooth and continuous. It is also commonly used in architecture, where a building's curved surfaces may need to be tangent to adjacent straight lines or walls.
In short, the tangent constraint can be applied between a line and an arc, and it is a useful tool in many different fields of design.
Learn more about geometric constraint here
brainly.com/question/30319646
#SPJ4
Mandy watched 25 hours of TV in
10 days. How many hours of TV
does Mandy watch in one day?
Answer: 2.5 hours, or 2 hours and 30 minutes.
Step-by-step explanation:
To get this, we must divide 25 by 10. If 25 hours was spent over the course of 10 days, you would think of it as splitting up the hours over the 10 days. This can be accomplished through division. Assuming she watched an equal amount of TV each day, we would do 25/10. This is 2.5.
A line passes through the point (-8,6) and has a slope of -5/4
Write an equation in point-slope form for this line
Answer:
y = 5/4x + 6
Step-by-step explanation:
take the y coordinate in (-8,6) which is 6.
take the slope.
y = (put slope here)x + (put y coordinate here) !
thats it :) have a good day!
Which of the following is most likely the next step in the series?
Answer:
I'm going to say A
Step-by-step explanation:
For sure the next would be blue but this is just my guess.
The most likely next step in the series is Option A, where a blue ray is added 90 degrees to the left along with the existing rays.
It appears that the pattern involves adding a ray 90 degrees to the left and alternating colors between red and blue. The first figure is a 180 degrees line with arrows on both sides of red color.
Based on this pattern, the most likely next step would be to add a blue ray 90 degrees to the left, while keeping the existing rays and alternating colors. Therefore, the next step would be Option A, where the figure is blue in color with a ray added to the left along with the already present rays.
To know more about series, refer here:
https://brainly.com/question/12238458
#SPJ2
Do the integral from (-2,2) of the function by Trapezoidal Rule
in Matlab.
1/((25+x^2))^3/2
Here's how you can use the Trapezoidal Rule to approximate the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 in MATLAB:
```matlab
a = -2; % Lower limit
b = 2; % Upper limit
n = 1000; % Number of subintervals (increase for higher accuracy)
h = (b - a) / n; % Step size
x = a:h:b; % Generate evenly spaced x values
y = 1 ./ (25 + x.^2).^1.5; % Evaluate the function at x
approximation = h * (sum(y) - (y(1) + y(end)) / 2); % Trapezoidal Rule approximation
fprintf('Approximation: %.6f\n', approximation);
```
1. We define the lower limit `a` as -2, the upper limit `b` as 2, and the number of subintervals `n` as 1000 (you can adjust `n` for higher accuracy).
2. We calculate the step size `h` by dividing the range (`b - a`) by the number of subintervals (`n`).
3. We generate an array `x` of evenly spaced values from `a` to `b` using the step size `h`.
4. We evaluate the function `f(x)` at each point in `x` and store the results in the array `y`.
5. Finally, we use the Trapezoidal Rule formula to approximate the integral by summing the values in `y` and adjusting for the endpoints, multiplying by the step size `h`.
The Trapezoidal Rule approximation for the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 is the value calculated using the MATLAB code above.
To know more about Trapezoidal Rule follow the link:
https://brainly.com/question/28592530
#SPJ11
When representing a frequency distribution with a bar graph, which of these bars will be the tallest A.) A bar representing a frequency of 20 B.) A bar representing a frequency of 15 C.) A bar representing a frequency of 25 D.) A bar representing a frequency of 30
A bar chart is one of the most commonly used representations or visually translate groups of data.
We have given that,
When representing a frequency distribution with a bar chart.
What is the frequency distribution?frequency distribution, a graph or data set organized to show the frequency of occurrence of each possible outcome of a repeatable event observed many times.
It is drawn in such a way that the x-axis of the graph would represent the items and the y-axis will be for the frequency.
Out of the choices given, the shortest among the bars will be that would frequency is only 15.
Hence, the answer to this item is the letter B.
To learn more about the frequency distribution visit:
https://brainly.com/question/1094036
Write the equation of a line perpendicular to y=2x−5 that passes through the point (2, -5) in slope-intercept form.
To write the equation of a line that is perpendicular to y = 2x - 5, we need to find the slope of the new line.
As we know, the slope of a line perpendicular to y = 2x - 5 is the negative reciprocal of the slope of y = 2x - 5, which is -1/(2) = -1/2.
To find the equation of the line in slope-intercept form (y = mx + b), we can use the point (2, -5) and the slope of -1/2.
We know that the point (2, -5) belongs to the line, so we can substitute these values into the equation:
y = -1/2x + b
-5 = -1/2(2) + b
-5 = -1 + b
b = -4
So, the equation of the line in slope-intercept form is:
y = -1/2x -4
This is the equation of a line that is perpendicular to y = 2x - 5 and passes through the point (2, -5)
Lane Games
ChatGPT Jan 9 Version. Free Research Preview. Our goal is to ma