Answer:
Sine= opp/hyp the oppisite is 27, and the hypotnuse is 45, so the sin of Z is 27/45
Step-by-step explanation:
Select all that apply.
(xyz)^2 = ___.
The expression without the exponents is?
Xy • xy • xy
Xyz • xyz
X• x • y • y • z • z
X^2 • y^2 • z^2
Answer: the answer is X^2 • Y^2 • Z^2.
Step-by-step explanation:
Expanding the expression (xyz)^2, we get:
(xyz)^2 = (xyz) x (xyz)
(xyz)^2 = x^2 y^2 z^2
give examples of equations for the following common surfaces: plane, sphere, (elliptic) paraboloid, hyperbolic paraboloid, (circular) cylinder, half cone. for each, which coordinate system(s) are easiest to express the equations and (briefly) why?
Equations for common surfaces:
1. Plane: Ax + By + Cz + D = 0
2. Sphere: (x - h)² + (y - k)² + (z - l)² = r²
3. (Elliptic) Paraboloid: z = ax² + by² + c
4. Hyperbolic Paraboloid: z = ax² - by² + c
5. (Circular) Cylinder: (x - h)² + (y - k)² = r²
6. Half Cone: z = √(x² + y²)
Determine the plane?For each surface:
1. Plane: The easiest coordinate system to express the equation is the Cartesian coordinate system (x, y, z) since the equation involves linear terms in all three variables.
2. Sphere: The Cartesian coordinate system (x, y, z) is most suitable for expressing the equation of a sphere because it directly relates to the distance between the center of the sphere and any point on its surface.
3. (Elliptic) Paraboloid: The Cartesian coordinate system (x, y, z) is most convenient for expressing the equation of a (elliptic) paraboloid because it allows a direct representation of the quadratic terms in x and y.
4. Hyperbolic Paraboloid: Similar to the (elliptic) paraboloid, the Cartesian coordinate system (x, y, z) is best suited for expressing the equation of a hyperbolic paraboloid due to its direct representation of the quadratic terms.
5. (Circular) Cylinder: The cylindrical coordinate system (ρ, φ, z) is easiest to express the equation of a (circular) cylinder because it naturally separates the radial distance from the axis (ρ) and the angle in the xy-plane (φ).
6. Half Cone: The Cartesian coordinate system (x, y, z) is most suitable for expressing the equation of a half cone since it provides a direct representation of the relationship between the coordinates and the square root of the sum of their squares.
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what is (4 multiply 7 dived by 2 ?
Answer:
14
Step-by-step explanation:
Triangles ABC and DEF are similar. Find the length of segment DF?
Answer:
5.71
Step-by-step explanation:
you divide 2 by 1.34 and then divide 4 by that
Giving brainliest
Plz help!!!
B
is the answer. hope it helps
What is the solution for the system of linear equations shown in the graph?
a coordinate grid with one line that passes through the points 0 comma 0 and 1 comma 3 and another line that passes through the points 0 comma 2 and 1 comma 1
negative one half comma one half
one half comma three halves
three halves comma one half
three halves comma three halves
To find the solution for the system of linear equations shown in the graph, we need to find the point of intersection of the two lines.
The first line passes through the points (0,0) and (1,3). We can find the equation of this line using the slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept.
The slope of the line can be found using the two given points:
m = (y2 - y1) / (x2 - x1)
m = (3 - 0) / (1 - 0)
m = 3/1
m = 3
The y-intercept of the line is (0,0), so b = 0.
Therefore, the equation of the first line is:
y = 3x
The second line passes through the points (0,2) and (1,1). We can find the equation of this line using the slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept.
The slope of the line can be found using the two given points:
m = (y2 - y1) / (x2 - x1)
m = (1 - 2) / (1 - 0)
m = -1/1
m = -1
The y-intercept of the line is (0,2), so b = 2.
Therefore, the equation of the second line is:
y = -x + 2
To find the point of intersection of these two lines, we can set their equations equal to each other:
3x = -x + 2
Solving for x, we get:
4x = 2
x = 1/2
Substituting x=1/2 into either equation, we can find y:
y = 3x
y = 3(1/2)
y = 3/2
Therefore, the point of intersection of the two lines is (1/2, 3/2).
So, the solution for the system of linear equations shown in the graph is:
x = 1/2
y = 3/2
Therefore, the correct response is:
one half comma three halves
a company buys equal numbers of two different card forms. it utilizes 4/5 of one kind and 6/7 of the other. what fraction of the total number is unused?
12/35 fraction of the total number is unused from two different cards.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Assuming the total first kind of card form is 1 and the total second kind of card form is also one.
Given, a company buys equal numbers of two different card forms. it utilizes 4/5 of one kind and 6/7 of the other.
∴ The total unused card form is,
= (1 + 1) - (4/5 + 6/7).
= 2 - (28 + 30)/35.
= 2 - 58/35.
= (70 - 58)/35.
= 12/35.
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how many 4 digit numbers have at least 1 even digit
Answer: I hope this is helpful
Step-by-step explanation:
A 4-digit number contains at least one even digit. To find:How many such numbers are there?Solution:Digits are 0,1,2,3,4,5,6,7,8,9.Number of odd digits = 5Number of even digits = 54-digit numbers are from 1000 to 9999.Total number of 4-digit numbers = 9000Possible ways to get odd digits on all the 4 places isIt means 625 numbers are their in which all 4 digits are odd.To find total 4-digit number that contains at least one even digit, subtract the numbers which contains only odd numbers from the total 4-digit numbers.Therefore, total 4-digit number that contains at least one even digit is 8375.
What’s the domain and range?
Answer:
Domain: x > -4
Range: y > -1
Step-by-step explanation:
Domain is the points on the x axis that could be vaild for that line.
Range is the points on the y axis that could be valid for that line.
HEEEEPLLLP IF RIGHT WILL GIVE YOU BRAINLIEST IF WRONG I WILL GO TO A CORNER AND CRYYY
Answer:
The last one is incorrect
Step-by-step explanation:
Which expression makes the equation true for all values of x?
60x- 12 = 6(__?_)
One year, the population of a city was 322,000. Several years later it was 273,700. Find the percent decrease.
The population of the city has decreased by 15%.
Percentage refers to a way of expressing a number as a fraction of 100, and is often represented by the symbol (%).
To find the percent decrease, we need to determine the difference between the original population and the new population. We can do this by subtracting the new population from the original population:
322,000 - 273,700 = 48,300
This means that the population has decreased by 48,300. To find the percentage decrease, we need to express this as a percentage of the original population. We can do this by dividing the decrease by the original population and then multiplying by 100:
(48,300 / 322,000) x 100 = 15%
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What is the minimum number of binary bits needed to represent each of the following
unsigned decimal integers?
a. 65
b. 409
c. 16385
Answer:
a. 7
b. 9
c. 15
Step-by-step explanation:
You want to know the number of binary bits required to represent the unsigned numbers 65, 409, 16385.
BitsN bits can be used to represent an unsigned integer in the range 0 to (2^n)-1. That is, the value 2^n will be greater than the integer being represented by n bits.
We recognize some powers of 2 as ...
2^6 = 64
2^8 = 256
2^14 = 16384
Each of these values is slightly smaller than the number we want to represent, so the number of bits required is ...
a) 65 ⇒ 7 bits
b) 409 ⇒ 9 bits
c) 16385 ⇒ 15 bits
__
Additional comment
The number of bits required is the ceiling of the base-2 logarithm of 1 more than the number being represented. The calculator in the attachment uses ceiling( ) = 1 + floor( ), which will be true for any number having a non-zero fractional part. All of these logarithms do.
The minimum number of binary bits needed to represent each of the following unsigned decimal integers is
2^n.
a. 65
The minimum number of binary bits needed to represent 65 is 7. This is because 2^6 = 64, which is the closest power of 2 that is less than 65. Therefore, 7 bits are needed to represent 65 in binary.
b. 409
The minimum number of binary bits needed to represent 409 is 9. This is because 2^8 = 256, which is the closest power of 2 that is less than 409. Therefore, 9 bits are needed to represent 409 in binary.
c. 16385
The minimum number of binary bits needed to represent 16385 is 14. This is because 2^13 = 8192, which is the closest power of 2 that is less than 16385. Therefore, 14 bits are needed to represent 16385 in binary.
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The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal size. A shade for the window will extend 4 inches beyond the perimeter of the window, shown by the dashed line around the window. Each square in the window has an area of 169 in2. Round your answers to the nearest whole number.
Answer:
\((a)\ Area = 3765.32\)
\((b)\ Area = 4773\)
Step-by-step explanation:
Given
\(A_1 = 169in^2\) --- area of each square
\(Shade = 4in\)
See attachment for window
Solving (a): Area of the window
First, we calculate the dimension of each square
Let the length be L;
So:
\(L^2 = A_1\)
\(L^2 = 169\)
\(L = \sqrt{169\)
\(L=13\)
The length of two squares make up the radius of the semicircle.
So:
\(r = 2 * L\)
\(r = 2*13\)
\(r = 26\)
The window is made up of a larger square and a semi-circle
Next, calculate the area of the larger square.
16 small squares made up the larger square.
So, the area is:
\(A_2 = 16 * 169\)
\(A_2 = 2704\)
The area of the semicircle is:
\(A_3 = \frac{\pi r^2}{2}\)
\(A_3 = \frac{3.14 * 26^2}{2}\)
\(A_3 = 1061.32\)
So, the area of the window is:
\(Area = A_2 + A_3\)
\(Area = 2704 + 1061.32\)
\(Area = 3765.32\)
Solving (b): Area of the shade
The shade extends 4 inches beyond the window.
This means that;
The bottom length is now; Initial length + 8
And the height is: Initial height + 4
In (a), the length of each square is calculated as: 13in
4 squares make up the length and the height.
So, the new dimension is:
\(Length = 4 * 13 + 8\)
\(Length = 60\)
\(Height = 4*13 + 4\)
\(Height = 56\)
The area is:
\(A_1 = 60 * 56 = 3360\)
The radius of the semicircle becomes initial radius + 4
\(r = 26 + 4 = 30\)
The area is:
\(A_2 = \frac{3.14 * 30^2}{2} = 1413\)
The area of the shade is:
\(Area = A_1 + A_2\)
\(Area = 3360 + 1413\)
\(Area = 4773\)
Which of the following are assumptions underlying the simple linear regression model y = Bo B1x e? Check all that apply The variance of the error term e varies for differing values of x. The error term is a random variable with an expected value of zero. The error term is normally distributed. The error term E follows a chi-square distribution.
The error term is a random variable with an expected value of zero.2. The error term is normally distributed
The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.
The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.
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Evaluate. a) ∫
1+cosx
2
sinx
dx b) ∫
−
2
π
2
π
1+x
6
x
2
sinx
dx c) ∫x
2
3
lnxdx d) ∫
0
3
∣
∣
x
2
−4
∣
∣
dx
(a) The integral becomes \(∫(-du/u) = -ln|u| + C = -ln|cos(x) + 1| + C.\)
(c) The integral can be easily evaluated as:
\((3/5)x^(5/3)ln(x) - (9/25)x^(8/3) + C.\)
a) To evaluate the integral \(∫(1+cos(x))/2sin(x) dx\), we can use the substitution method.
Let \(u = cos(x) + 1\). Then \(du = -sin(x) dx\). Rearranging, we have -du/2 = sin(x) dx.
The integral becomes \(∫(-du/u) = -ln|u| + C = -ln|cos(x) + 1| + C.\)
b) To evaluate the integral\(∫(1+x)^(6x^2) sin(x) dx,\) we can use integration by parts. Let u = (1+x)^(6x^2) and dv = sin(x) dx. Then\(du = (6x^2)(1+x)^(6x^2-1) dx\) and \(v = -cos(x).\)
Applying the integration by parts formula, we get \(∫u dv = uv - ∫v du\\ = -(1+x)^(6x^2)cos(x) - ∫(6x^2)(1+x)^(6x^2-1)cos(x) dx.\)
The remaining integral is not easily evaluated, so this is the final answer.
c) To evaluate the integral \(∫x^(2/3) ln(x) dx\), we can use integration by parts.
Let \(u = ln(x)\) and \(dv = x^(2/3) dx.\)
Then \(du = (1/x) dx\) and \(v = (3/5)x^(5/3).\)
Applying the integration by parts formula, we get\(∫u dv = uv - ∫v du \\= (3/5)x^(5/3)ln(x) - ∫(3/5)(x^(2/3)) dx.\)
The remaining integral can be easily evaluated as \((3/5)(3/5)x^(5/3+1)/(5/3+1) = (9/25)x^(8/3).\)
Therefore, the final answer is \((3/5)x^(5/3)ln(x) - (9/25)x^(8/3) + C.\)
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a)The Equation ∫(1+cos(x))/(2sin(x)) dx = (1/2)ln|tan(x/2)| - (1/2)cos(x) + C
b) ∫(-2π to 2π) (1+x)/(6x²sin(x)) dx = 0
c) ∫x^(2/3) ln(x) dx = (3/5)x^(5/3) ln(x) - (9/25)x^(5/3) + C
d) ∫(0 to 3) |x² - 4| dx = 6
a) To evaluate the integral ∫(1+cos(x))/(2sin(x)) dx, we make the substitution u = sin(x). This simplifies the integral to ∫(1+u)/(2u) du. By integrating and simplifying, we obtain the result.
b) The integral ∫(1+x)/(6x²sin(x)) dx can be evaluated using integration by parts. By selecting u = (1+x) and dv = (1/(6x²sin(x))) dx, we can find du and integrate dv to obtain an expression in terms of x. Applying the integration by parts formula, we can evaluate the integral.
c) The integral \(∫x^(2/3) ln(x) dx\) can be evaluated by using integration by parts. By selecting u = ln(x) and dv = \(x^(2/3) dx\), we can differentiate u and integrate dv to obtain an expression that can be solved by integrating and simplifying.
d) The integral ∫|x² - 4| dx can be evaluated by splitting the integral into two parts based on the domain of the absolute value function. By solving the integral separately for x in the intervals (-∞, -2) and (2, ∞) and taking the absolute value, the integral can be determined.
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Multiply (x^2 + 4x) (x^3 - 2x^2 + x + 7)
Answer:
x^5+2x^4-7x^3+11x^2+28x
Step-by-step explanation:
A thief entered an orange garden and stole some oranges. The guard caught him. To get rid of him, the thief gave him half of the stolen oranges and two more oranges. The thief was left with only 9 oranges. How many oranges did he stole
The thief stole 22 oranges using algebraic equations.
To solve this problem, we need to use algebra. Let x be the number of oranges the thief stole.
According to the problem, the thief gave the guard half of the stolen oranges and two more. This means that he gave away (1/2)x + 2 oranges.
We also know that the thief was left with only 9 oranges. So we can set up the equation:
x - [(1/2)x + 2] = 9
Simplifying this equation:
(1/2)x - 2 = 9
(1/2)x = 11
x = 22
Therefore, the thief stole 22 oranges.
The problem presents us with a scenario where a thief entered an orange garden and stole some oranges. However, he was caught by the guard. In order to get rid of the guard, the thief decided to give him half of the stolen oranges and two more. As a result, the thief was left with only 9 oranges.
To solve this problem, we used algebraic equations. We let x be the number of oranges the thief stole. We also knew that the thief gave away (1/2)x + 2 oranges to the guard. Using this information, we were able to set up an equation where x - [(1/2)x + 2] = 9. Simplifying the equation, we were left with (1/2)x - 2 = 9. Solving for x, we found that the thief had stolen 22 oranges.
In conclusion, algebraic equations are a useful tool in solving mathematical problems. By setting up an equation and simplifying it, we were able to determine the number of oranges that the thief had stolen.
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describe la vida en el barrio que se desarrolla en la pelicula los olvidados de Luis Buñuel teniendo en cuenta sus condiciones economicas y sociales atravez de las distintas actividades desarrolladas por los vecindarios
Life in the neighborhood depicted in the film "Los Olvidados" is characterized by challenging economic and social conditions.
How do the economic and social conditions shape life in the neighborhood?The neighborhood in "Los Olvidados" is portrayed as a poverty-stricken area where the residents struggle to make ends meet. The film explores the lives of marginalized individuals most particularly young boys, who are caught in a cycle of poverty, violence, and neglect.
The economic conditions in the neighborhood are harsh, with limited opportunities for employment and a lack of access to basic necessities. As a result, the residents are often forced into criminal activities to survive leading to a high level of violence and crime within the community.
Moreover, the social conditions exacerbate the challenges faced by the neighborhood. There is a sense of abandonment and neglect from the government and wider society with little support or resources available to address the issues faced by the residents.
Full question:
Describes life in the neighborhood that takes place in the film Los Olvidados by Luis Buñuel, taking into account their economic and social conditions through the different activities carried out by the neighborhoods.
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which is proportional A. 50x+2 B. 20x C. 10x+200 D. 200x+10
Answer:
B
Step-by-step explanation:
Rational Exponents
Solve and show your work.
\((x+5)^{\frac{2}{3} } =4\)
calculate the coefficient of variation for a sample of cereal boxes with a mean weight of 340 grams and a standard deviation of 5.2 grams.? 0.15% A
1.53% B
15.29% C
0.65% D
The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.
In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.
CV = (Standard Deviation / Mean) * 100
CV = (5.2 / 340) * 100
CV ≈ 1.53%
Therefore, the correct answer is option B: 1.53%.
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Math 7 pap cdb 2 2020-2021 / 7 of 1
rectangle qrst is dilated with the origin as the center of dilation to create rectangle q'r's't'.
o'
r
q
which rule best represents the dilation applied to rectangle qrst to create rectangle q'r's't'?
o a. (x, y) - (3x, 3y)
o b. (x,y) - (1/3x, 1/3y)
o c. (x, y) - (x+3, y + 3)
o d. (x, y) - (x + 1/3, y + 1/3)
The correct answer is option (d) (x, y) → (x + 1/3, y + 1/3).
What is the rule that best represents the dilation applied to rectangle qrst to create rectangle q'r's't'?The dilation is a type of transformation that changes the size of the object, but not the shape. It can be represented by a rule in which each point of the original object is multiplied or divided by a constant factor. In this case, since the center of dilation is the origin, we can find the constant factor by dividing the coordinates of the corresponding points of the two rectangles.
Let's take the point Q(x, y) in rectangle QRST and its corresponding point Q'(x', y') in rectangle Q'R'S'T'. Since the dilation is centered at the origin, we have:
x' = k * x
y' = k * y
where k is the constant factor of dilation. We can find k by dividing the corresponding sides of the rectangles. For example, the length of QR is 4 units, and the length of Q'R' is 4/3 units. Therefore, k = 4/3.
Using this value of k, we can find the coordinates of any point in rectangle QRST that corresponds to a point in rectangle Q'R'S'T'. For example, point R(6, 2) in rectangle QRST corresponds to point R'(6 + 1/3, 2 + 1/3) = (20/3, 7/3) in rectangle Q'R'S'T'.
Hence, the correct answer is (x, y) → (x + 1/3, y + 1/3).
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Charmaine is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A has no initial fee but charges 70 cents for every mile driven. Company B charges an initial fee of $50 and an additional 20 cents for every mile driven. For what mileages will company A charge more than company B? Use m for the number of miles driven, and solve your inequality for m.
we have
Company A = 0 + 0.70m
Company B = 50 + 0.20m
we will find A > B, so
\(\begin{gathered} 0.70m>50+0.20m \\ 0.70m-0.20m>50+0.20m-0.20m \\ 0.50m>50 \\ \frac{0.50m}{0.50}>\frac{50}{0.50} \\ m>100 \end{gathered}\)answer: more 100 miles
100 points
If you tell me to use quizlet or give me a wrong answer or link you will be reported
\(\huge{ \mathbf{ \underline{ Answer }\: \: ✓ }}\)
The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .
Given terms ( common for each cylinder ) :
height (h) = 4 ftradius. (r) = 0.5 ft\( \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}\)
\(3.14 \times \dfrac{1}{2} \times \dfrac{1}{2} \times 4\)\( \mathrm{3.14 \: ft {}^{3} }\)Since volume of each cylinder is equal, so total volume of six cylindrical post :
\(3.14 \times 6\)\( { \mathrm{18.84 \: ft {}^{3} }}\)_____________________________
\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)
You are on a 9.7-mile run and have already run 7.85 miles. How many more miles do you need to run?
(Type a whole number or a decimal.)
Answer:
1.85 miles
Step-by-step explanation:
Simply subtract 9.7 from 7.85, and the anwer is 1.85 miles.
For which scatter plot would the line of best fit be represented by the equation y =1/2x+2?
Option A
Explanations:The slope - intercept form of the equation of a line is:
y = mx + c
where m is the slope
c is the y-intercept
If a line of best fit is drawn on the on each of the scatterplots, only in the first scatterplot can the line of best fit intesect the y-axis at 2. A slope of 1/2 is also only possible when a line of best fit is drawn on the first scatterplot.
That is, c = 2
m = 1/2
Therefore, only the first scatterplot would have the line of best fit represented by the equation y = 1/2 x + 2
Find the HCF of
\( 4x {}^{2} y \: and \: 12xy {}^{3} \)
Answer:
I hope the pic i gave is helpful!!!
a street light is positioned 20 ft above the ground. a man 6 ft tall walks away from the street light with a speed of 6 ft/sec along a straight path. how fast is the tip of his shadow moving when he is 45 ft from the base of the pole?
Answer:203 ft/s
Step-by-step explanation:
Cindy is buying necklaces. This table shows how the cost depends on
the number of necklaces purchased.
Necklaces 9 10 11 12
Cost ($) 18 20 22 24
What is the constant of proportionality of this relationship?
(label optional)
Therefore , the solution of the given problem of unitary method comes out to be $2 for one necklace is constant of proportionality of this relationship.
What is a unitary technique, exactly?After determining the size of a small slice, multiply the quantity by two to complete a task using the unitary technique. The simple expression-based unit variable technique aids in separating a coded item from a given group or collection of groups. 40 pens, for instance, would cost 400 Rs (or $1.01 or 400 pounds). It's possible that one country will have total control over the method employed to do this.
Here,
Given :
Necklaces 9 10 11 12
Cost ($) 18 20 22 24
Cost of one necklace = 18/9 =2
$2 for one necklace.
Therefore , the solution of the given problem of unitary method comes out to be $2 for one necklace is constant of proportionality of this relationship.
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