Sure! Please give brainly if I'm correct, and thank you!
A= 5,3
B= 0,0
C= -9,-4
D= -10,4
E= 4,-8
F= 10,10
G= -4,0
H= 0,7
I= -6,-8
J= 9,-2
What are the magnitude and direction of w = ❬–9, –19❭? Round your answer to the thousandths place. ||w|| = 25.298; θ = 64.654° ||w|| = 21.024; θ = 244.654° ||w|| = 18.047; θ = 25.346° ||w|| = 5.099; θ = 205.346°
The magnitude of w is approximately 25.298 and its direction is approximately 64.654 degrees counterclockwise from the positive x-axis.
What do you mean by term Magnitude ?In the context of vectors, the term "magnitude" refers to the size or length of a vector. It is a scalar value that represents the distance between the initial point and the terminal point of the vector in a geometric space.
The size W = ❬–9, –19❭ is obtained from the formula:
||w|| = square((-9)² (-19)²) = square(81+361) = square(442) ≈ 25.298
Therefore ||w|| is approximately 25.298.
The direction of W measured counterclockwise from the positive x-axis is given by the following formula:
θ = arctan (-19/-9) ≈ 64.654°
Therefore, the direction of w is approximately 64.654°.
Therefore the answer is: ||w|| = 25.298; 6 = 64.654°.
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if there appears to be a relationship in scatterplot 4, would you describe the linear relationship as positive or negative?
if there appears to be a relationship in scatterplot 4,The linear relationship in scatterplot 4 appears to be negative.
When examining scatterplot 4, we can see that as the values of the x-axis increase, the values of the y-axis decrease in a linear relationship. This implies that as the values of the x-axis increase, the values of the y-axis decrease at a constant rate. This indicates a negative linear relationship between the two variables, meaning that as one variable increases, the other variable decreases in a linear fashion.
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Jeremy can buy two tacos at 75 cents each and a medium drink for $1.00—or a "value meal" with three tacos and a medium drink for $3. For him, the marginal cost of the third taco would be?
A. 0
B. $0.75
C. $1.00
D. $0.50
Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.
Buying two tacos individually:
Cost of two tacos: 2 tacos * $0.75/taco = $1.50Buying the value meal with three tacos:
Cost of the value meal: $3.00To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:
Marginal cost = Cost of buying two tacos individually - Cost of the value mealMarginal cost = $1.50 - $3.00Marginal cost = -$1.50
The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).
find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4
When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.
To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.
Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:
\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)
Taking the square root of both sides to find sin(0), we have:
sin(0) = ±√(16/25)
Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:
sin(0) = -√(16/25)
Simplifying further, we get:
sin(0) = -4/5
Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.
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Note the correct and the complete question is
Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4 ?
As a last step before Mario hits send on a company press release, what should he to ensure it is accurate?produce an outline to organize the content in the documentdouble-check all spellings and numbers in the documentevaluate the logic and persuasiveness of the documentchange the font that is used in the document
Mario should proofread the press release to catch any typos or errors, ensure all numbers and spellings are correct, and make sure the content is logical and persuasive.
Mario should begin by producing an outline to organize the content of the document and make sure it follows a logical flow. He should then double-check all spellings and numbers in the document to ensure accuracy. He should then evaluate the logic and persuasiveness of the document to make sure it conveys the information effectively. Lastly, he should change the font that is used in the document to make it more visually appealing. By following these steps, Mario can ensure that the press release is accurate and effective.
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Find functions f and g so that f o g = H. H(x) = (5x + 2)⁵
In Option (c) we have functions f(x) = x⁵ and g(x) = 5x + 2, which satisfy the equation f o g = H(x) = (5x + 2)⁵.
Option (a) : To find functions f and g such that f o g = H, where H(x) = (5x + 2)⁵, we evaluate the composition f(g(x)) and equate it to H(x).
Let us substitute the given functions f(x) = (x-2)/5 and g(x) = \((x)^{1/5}\) into the composition:
f(g(x)) = f(\((x)^{1/5}\)) = (\((x)^{1/5}\) - 2)/5,
To simplify further, we substitute this expression into H(x) and check if they are equal:
(\((x)^{1/5}\) - 2)/5 ≠ (5x + 2)⁵
The given functions f(x) = (x-2)/5 and g(x) = \((x)^{1/5}\) do not satisfy the equation f o g = H.
Option (b) : We substitute the given functions f(x) = \((x)^{1/5}\) and g(x) = (x-2)/5 into the composition:
f(g(x)) = f((x-2)/5) = ((x-2)/5\()^{1/5}\)
Equating this expression to H(x), we have:
((x-2)/5\()^{1/5}\) ≠ (5x + 2)⁵
The given functions f(x) = \((x)^{1/5}\) and g(x) = (x-2)/5 do not satisfy the equation f o g = H.
Option (c) : Substituting f(x) = x⁵ and g(x) = 5x + 2 into composition:
f(g(x)) = f(5x + 2) = (5x + 2)⁵
We see that f(g(x)) matches H(x), so the functions f(x) = x⁵ and g(x) = 5x + 2 satisfy f o g = H.
Option (d) : We substitute f(x) = 5x + 2 and g(x) = x⁵ into composition:
f(g(x)) = f(x⁵) = 5(x⁵) + 2
This expression does not-match H(x), so the functions f(x) = 5x + 2 and g(x) = x⁵ do not satisfy f o g = H.
Therefore, the correct option is (c).
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The given question is incomplete, the complete question is
Find functions f and g so that f o g = H,
H(x) = (5x + 2)⁵,
(a) f(x) = (x-2)/5, g(x) = \((x)^{1/5}\),
(b) f(x) = \((x)^{1/5}\), g(x) = (x-2)/5,
(c) f(x) = x⁵, g(x) = 5x + 2,
(d) f(x) = 5x + 2, g(x) = x⁵.
examples of real life situations where we apply approximation
In real life, estimation is part of our everyday experience. When you're shopping in the grocery store and trying to stay within a budget, for example, you estimate the cost of the items you put in your cart to keep a running total in your head.
Roger bought a pair of leather gloves that originally cost $30.00 on sale at a 30% discount.
How much money did Roger save?
A.
$21.00
B.
$3.00
C.
$9.00
D.
$6.00
Answer:
C, my friend. Trust the BlueDragon
Step-by-step explanation:
30% of $30 is 9, $30-$9 is $21.00
He saved $9.00
Is it a, b, c, or d?
The endpoints of CD are C (4,6) and D(-1, -1). Find the coordinates of the midpoint M.
Coordinates of midpoint M: OO
6
HELP ME PLEASE 20 POINTS
HELP
Answer:
The answer is
\(( \frac{3}{2} \: , \frac{5}{2} ) \: \: or \: \: (1.5 \: \: , \: \: 2.5)\)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
\(M = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )\)where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C (4,6) and D(-1, -1)
The coordinates of the midpoint is
\(M = ( \frac{4 - 1}{2} , \: \frac{6 - 1}{2} )\)We have the final answer as
\(( \frac{3}{2} \: , \frac{5}{2} ) \: \: or \: \: (1.5 \: \: , \: \: 2.5)\)Hope this helps you
If we are told that ab= 0, then what can we infer by the zero product property we know =0 or. =0
When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.
We are given that ab = 0, where a and b are variables or numbers.
According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.
In our case, we have ab = 0. This means that the product of a and b is equal to zero.
To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.
It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.
Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.
In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.
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use v-o keys to navigate.last year a state senate consisting of only republican and democrat members had 20 more republican members than democrat members. this year the senate has the same number of members as last year, but it has 2 fewer republican members than last year. if this year the number of republican members is 2 3 the number of senate members, how many members does the senate have this year?
The senate has 4+22 = 26 members this year.
Let x be the number of Democrat members in the senate.
Last year, the number of Republican members was x+20
This year, the number of Republican members is (x+20) - 2 = x+18
This year, the number of members in the senate is 2/3*(x+18) = 2/3*x+12
So the number of members in the senate this year is x+12
To find the value of x, we can use the fact that the number of members in the senate this year is the same as last year.
x + (x + 20) = x + 12
x+x+20 = x + 12
2x = 8
x = 4
So the senate has 4 Democrat members and x+18 = 4+18 = 22 Republican members.
Therefore the senate has 4+22 = 26 members this year.
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Tyler has a piece of paper and is sharing it with Elena, Clare, and Andre. He cuts the paper to create four equal pieces, then hands one piece each to the others and keeps one for himself. What fraction of the original piece of paper does each person have?
1/4 a piece of the original paper.
Write the equation of the line (in slope-intercept form) that has an x-intercept at -6 and a y-intercept at 2. Provide a rough sketch of the line indicating the given points. [1 mark]. Exercise 2. For the polynomial f(x) = −3x² + 6x, determine the following: (A) State the degree and leading coefficient and use it to determine the graph's end behavior. [2 marks]. (B) State the zeros. [2 marks]. (C) State the x- and y-intercepts as points [3 marks]. (C) Determine algebraically whether the polynomial is even, odd, or neither.
To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.
To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.
In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.
For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.
To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.
The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).
To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.
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Select the ratio equivalent to tan (o)
Answer:
D.
tangent = opp over adj
Step-by-step explanation:
describe fully the single transformation that takes shape A to shape B
Answer:
Divide by 2 or -2
Step-by-step explanation:
The edges lengths have decreased:
4/2=2
2/2=1
6/2=3
Transformation involves changing the position and size of a shape.
The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees
From the figure, we have:
The side lengths of shape A are twice as large as the side lengths of shape BShape A can be rotated 180 degrees to map onto shape B, after dilation.So, the scale of dilation from shape A to B is:
\(\mathbf{Scale = \frac{1}{2}}\)
Hence, the single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees
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3. Given that x = 3 and y = 4, find the value of the following
expression (3x + 4y)^2 + (8x + 7y)² + 24xy
Answer: 3353
Let's solve this equation:
[(3)(3)+(4)(4)]2+[(8)(3)+(7)(4)]2+(2)(3)(4)
=(9+(4)(4))2+((8)(3)+(7)(4))2+(2)(3)(4)
=(9+16)2+((8)(3)+(7)(4))2+(2)(3)(4)
=252+((8)(3)+(7)(4))2+(2)(3)(4)
=625+((8)(3)+(7)(4))2+(2)(3)(4)
=625+(24+(7)(4))2+(2)(3)(4)
=625+(24+28)2+(2)(3)(4)
=625+522+(2)(3)(4)
=625+2704+(2)(3)(4)
=3329+(2)(3)(4)
=3329+(6)(4)
=3329+24
=3353
Hope this helps!!
please help im not good at math its worth 51 points
Answer:
11 : 4
Step-by-step explanation:
Hey there!
To find the ratio of something, we have to use this symbol --> :
The correct format of a ratio is x : y
In this case, they are asking round-up (x) to slingshot (y)
Using the graph we can find the ratio:
11 : 4
In assessing the reliability of a new test, a sample of 1,000 examinees take the test, and one week later are asked to take the same test agaThis is an example of which type of reliability
Answer:
Test-retest
Step-by-step explanation:
Based on the information given it is an example of TEST-RETEST.
TEST-RETEST is a relibility test that is been conducted on a group of people twice but on a different day or different time reason been that once the group of people write the test ,they will be ask to come back and retake the same test a week later in order to assess whether the test results they wrote earlier on and the new test results they newly rewrite a week later are the same or for the sole aim of assessing the reliability of the new test they rewrite and the old test they wrote earlier.
Example a group of students may write a test on Friday in which the same group of students will be ask to come back and rewrite the same test the following Friday which inturn makes the students to write the same test twice.
Therefore this is an example of which type of reliability TEST-RETEST.
A ________ displays the frequency of each class with qualitative data and a ________ displays the frequency of each class with quantitative data.
Some basic concepts and properties based on bar graph and histogram are discussed underneath.
What is a bar grapht?
A bar graph is generally used to illustrate the entire data in the form of rectangular bars. It is also known by the name bar chart. There occur some gap between the two consecutive bars.
What is a histogram?
A type of graph used to depict the frequency of each class with the numerical data. In histogram, the class intervals have equal sizes and there do not exist any gap between the bars in a histogram.
Fill in the blanks using appropriate term
A __bar graph__ displays the frequency of each class with qualitative data and a _histogram_ displays the frequency of each class with quantitative data.
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If 6s=24, does 6s÷6=24÷6?
Answer:
i need points
Step-by-step explanation:
Find the area and the circumference of the circle. Round your answers to the nearest hundredth.
The Area Of The Circle Is 452.16
The Circumference Of The Circle Is 75.36
A rectangle has area 36 m2. Express the perimeter of the rectangle as a function of the length (L) of one of its sides. P(L) =
Let's denote the length of one side of the rectangle as L and the width as W. Given that the area of the rectangle is 36 m², we have the equation:
Area = Length × Width
36 = L × W
To express the perimeter of the rectangle as a function of the length (L), we need to find the relationship between the length and the width.
Solving the equation for W, we get:
W = 36 / L
The perimeter (P) of the rectangle is given by the formula:
P = 2L + 2W
Substituting the value of W, we have:
P(L) = 2L + 2(36 / L)
Simplifying further:
P(L) = 2L + 72 / L
Therefore, the perimeter of the rectangle, expressed as a function of the length (L) of one of its sides, is given by P(L) = 2L + 72 / L.
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what is the decimal equivalent of 0xc9?
The decimal equivalent of 0xc9 is 201.
Hexadecimals:
Hexadecimal is a number system with a base of 16, in which we use 16 distinct symbols to represent numbers. The symbols used in hexadecimal are the digits from 0 to 9 and the letters from A to F.
Hexadecimal notations are commonly used in computer programming and digital electronics because they can represent binary data more compactly than binary notation.
Here we have
0xc9
By converting each symbol as a number we can calculate as follows
Here 0x represents hexadecimal
And the value of c is 12
0xc9 = (12 × 16¹) + (9 × 16⁰)
= 192 + 9 = 201
Therefore,
The decimal equivalent of 0xc9 is 201.
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ADE is a dilation of ABC with scale factor 1.25 and center of dilation at A. Which statement is true
The statement that is true about the dilation is AB/BC = AD/DE
Selecting which statement is trueFrom the question, we have the following parameters that can be used in our computation:
ADE is a dilation of ABC with scale factor 1.25 Center of dilation at A.This means that
The ratio of ADE to ABC is 2.5The ratio of the corresponding sides on both triangles are equalSo, we have
AB/BC = AD/DE
This represents option (b)
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In R4, let W be the subset of all vectors a1 V= a4 that satisfy a4 - a3 = a2 - a₁. (a) ( Show that W is a subspace of R4. (b) Introduce the subset S = of W. Verify that S is a spanning set of W. (c) ( Find a subset of S that is a basis for W.
W is a subspace of R4 since it satisfies closure under vector addition, closure under scalar multiplication, and contains the zero vector.
(a) W is a subspace of R4.
To prove that W is a subspace of R4, we need to show that it satisfies three conditions: closure under vector addition, closure under scalar multiplication, and contains the zero vector.
Closure under vector addition: Let's take two vectors (a₁, a₂, a₃, a₄) and (b₁, b₂, b₃, b₄) from W. We need to show that their sum is also in W.
(a₄ - a₃) + (b₄ - b₃) = (a₂ - a₁) + (b₂ - b₁)
(a₄ + b₄) - (a₃ + b₃) = (a₂ + b₂) - (a₁ + b₁)
This satisfies the condition and shows closure under vector addition.
Closure under scalar multiplication: Let's take a vector (a₁, a₂, a₃, a₄) from W and multiply it by a scalar c. We need to show that the result is also in W.
c(a₄ - a₃) = c(a₂ - a₁)
(c * a₄) - (c * a₃) = (c * a₂) - (c * a₁)
This satisfies the condition and shows closure under scalar multiplication.
Contains zero vector: The zero vector (0, 0, 0, 0) satisfies the equation a₄ - a₃ = a₂ - a₁, so it is in W.
Therefore, W satisfies all the conditions and is a subspace of R4.
(b) S is a spanning set of W.
The subset S = {(1, 0, 0, 1), (0, 1, 1, 0)} is given. To verify that S is a spanning set of W, we need to show that any vector (a₁, a₂, a₃, a₄) in W can be expressed as a linear combination of the vectors in S.
Let's consider an arbitrary vector (a₁, a₂, a₃, a₄) in W. We need to find scalars c₁ and c₂ such that c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (a₁, a₂, a₃, a₄).
Expanding the equation, we get:
(c₁, 0, 0, c₁) + (0, c₂, c₂, 0) = (a₁, a₂, a₃, a₄)
From this, we can see that c₁ = a₁ and c₂ = a₂, which means:
c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (a₁, a₂, a₃, a₄)
Therefore, any vector in W can be expressed as a linear combination of the vectors in S, proving that S is a spanning set of W.
(c) A basis for W is {(1, 0, 0, 1), (0, 1, 1, 0)}.
To find a basis for W, we need to ensure that the set is linearly independent and spans W. We have already shown in part (b) that S is a spanning set of W.
Now, let's check if S is linearly independent. We want to determine if there exist scalars c₁ and c₂ (not both zero) such that c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (0, 0, 0, 0).
Solving the equation, we get:
c₁ = 0
c₂ = 0
Since the only solution is when both scalars are zero, S is linearly independent.
Therefore, the set S = {(1, 0, 0, 1), (0, 1, 1, 0)} is a basis for W.
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What is 8.33% rounded to the nearest tenth of a percent
Answer:
8.30%
Step-by-step explanation:
you look at .3, which is in the tenths place. then you look to the left, if the number is 5 or higher, you round the 3 up, but if the number's lower, you erase all the numbers to the left of the place you want to round at
The wind speeds throughout the month of April were normally distributed with a mean of 17 mph. What percent of the days had wind speeds between 5
Answer:38
Step-by-step explanation:
solve. 6,394 ÷ 42 =
can you solve please
Answer:
152.238095
Step-by-step explanation:
A cable is 40 decimeters long how long is the cable in meters and be sure to include the correct unit
Answer:
4 m
Step-by-step explanation:
1 m = 10 dm
1 dm = 0.1m
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