Answer:
y=3/4x + 10
Step-by-step explanation:
First, lets put this into Point-Slope form: y-4 = 3/4(x+8)
Now, lets modify the equation in our favor, getting the "y" alone on the left hand side: y-4 = 3/4(x+8)
+4 +4
-----------------------------------------------
y=3/4(x+8)+4
Now, lets simplify....
y=3/4x + 6 + 4 = y = 3/4x+10
And we are done!
To solve 4x + 11 = 32, what two operations are used? a. Add 11 to both sides, then multiply both sides by 4. b. Subtract 11 from both sides, then divide both sides by 4. c. Multiply both sides by 4, then subtract 11 from both sides. d. Divide both sides by 4, then add 11 to both sides.
Answer:
subtract both sides by 11, then dove both sides by 4
steve walks 3 kilometers a day how many meters does he walk in 3 days??
Answer:
9,000 m
Step-by-step explanation:
1 km = 1,000 m
3 * 3 = 9 km
9 * 1,000 = 9,000 m
Answer:
9000m in 3 days.
hope it helps.
according to the cynic what will happen when the meek inherit the earth
The Cynic believes that when the Meek inherit the Earth, there will be a shift towards an easier and less complicated life.
What did the Cynic believe ?In general, the Cynics believed in living a simple and ascetic life, free from materialism and societal norms.
It can be assumed that the Cynics may believed that the inheritance of the Earth by the meek would lead to a shift in values and beliefs towards simplicity, frugality, and self-sufficiency, rather than wealth, power, and status. This is a stark opposite to the world as it currently is as this world has wealth and power as the most power defining factors of status.
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In the figure below, $AB=75,$ $AC=70,$ and $BY=60$. Compute $CX$.
Compute the area A of ∆ABC.
• Take AB to be the base and CX (which is an altitude of ∆ABC) to be the height. Then the area is
A = 1/2 • AB • CX = 1/2 • 75 • CX
• Now take AC to be the base and BY (also an altitude) to be the height. Then
A = 1/2 • AC • BY = 1/2 • 70 • 60 = 2100
The areas must be equal, so we have
2100 = 1/2 • 75 • CX → CX = 4200/75 = 56
Marilyn needs to buy two Series EE savings bonds as graduation gifts for her cousins. She has $75 to spend. What could be the face value on each bond? (Hint: The face values of the bonds she can buy are $50, $75, and $100. )
Marilyn has $75 to spend on two Series EE savings bonds as graduation gifts. The face values of the bonds she can buy are $50, $75, and $100. Therefore, she could buy two $50 bonds.
Since Marilyn has $75 to spend and she needs to buy two bonds, the total face value of the bonds she can purchase must be equal to $75.
Let x be the face value of the first bond, then the face value of the second bond must be 75 - x.
The face values of the bonds are $50, $75, and $100, so we can set up the following three equations
x + (75 - x) = 75 (since the total face value must be $75)
x = 50 (since the face value must be $50, $75, or $100)
x = 100 (since the face value must be $50, $75, or $100)
Solving these equations, we find that the possible face values for each bond are $50 and $25, $75 and $0, or $100 and $-25 (which is not a valid option).
Therefore, Marilyn could buy two bonds with face values of $50 each, or one bond with a face value of $75 and the other with a face value of $0 (which essentially means she would only be buying one bond).
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The best player on a basketball team makes
80% of all free throws. The second-best player makes
75% of all free throws. The third-best player makes
65% of all free throws. Based on their experimental probabilities, estimate the number of free throws each player will make in his or her next
80 attempts. Explain.
Expected number of free throws in 80 attempts:
Best player = 64
2nd best player = 60
3rd best player = 52
We have to given that,
The probability that best player makes free throw, p1 = 0.8
The probability that second-best player makes free throw, p2 = 0.75
The probability that third-best player makes free throw, p3 = 0.65
Here, Total number of attempts made in free throws, n = 80.
Since, The estimated number of free throws that any player makes is defined by:
E ( Xi ) = n × pi
Where, Xi = Player rank
pi = Player rank probability
Hence, Expected value for best player making the free throws would be:
E (X1) = n × p1
= 80 x 0.8
= 64 free throws
Expected value for second-best player making the free throws would be:
E (X2) = n*p2
= 80 x 0.75
= 60 free throws
Expected value for third-best player making the free throws would be:
E (X3) = n*p3
= 80 x 0.65
= 52 free throws
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The number of men and women receiving bachelor's degrees each year has been steadily increasing. For the years 1970 through the projection of 2014, the number of men receiving degrees (in thousands) is given by the equation y= 3.6x+447 , and for women, the equation is y= 14.1x+311, where x is the number of years after 1970.a.b.
Answer: It seems that you have provided two equations to represent the number of men and women receiving bachelor's degrees over the years, where x represents the number of years after 1970. However, you haven't specified what the question or task is. It's essential to provide further instructions or ask a specific question so that I can assist you accordingly.
Plzzzzzz helpppp!!!!! What is an equation of the line that passes through the point (4,2) and is perpendicular to the line 4x+3y=21
The line which is perpendicular to the line 4x + 3y = 21 is y = x + 1.
What are lines and their slopes?We know lines have various types of equations,
The general type is Ax + By + c = 0, and the equation of a line in
The slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
An equation of a line is given which is 4x + 3y = 21 or 3y = - 4x + 21.
So, The line has a slope(m) = - 4.
∴ The line perpendicular to this line has a slope of (1/4) as perpendicular lines have slopes that are negative reciprocals of each other and it is passing through the points (4, 2).
∴ 2 = (1/4)(4) + b.
b = 1.
∴ y = x + 1 is the line.
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calculate the taylor polynomials 2()t2(x) and 3()t3(x) centered at =x=a for ()=4sin(), =2.
The Taylor polynomial 2()t2(x) centered at x=a for ()=4sin(), =2 is given by:
2()t2(x) = 4sin(a) + 8cos(a)(x-a) - 8sin(a)(x-a)^2
The Taylor polynomial 3()t3(x) centered at x=a for ()=4sin(), =2 is given by:
3()t3(x) = 4sin(a) + 8cos(a)(x-a) - 8sin(a)(x-a)^2 - 32/3cos(a)(x-a)^3
in these equations, sin(a) and cos(a) are the values of sine and cosine at the point a=2.
The Taylor polynomials are approximations of the function ()=4sin() near the point a=2. The polynomial 2()t2(x) is a second-degree polynomial that approximates the function to within an error of O((x-a)^3), while 3()t3(x) is a third-degree polynomial that approximates the function to within an error of O((x-a)^4).
The coefficients of these polynomials are derived from the derivatives of the function at the point a, evaluated using the formula for Taylor coefficients. These polynomials can be used to estimate the value of the function at points near a=2.
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Solve the equation.
Give your simplified answer as an improper fraction.
-4(3 + x) + 5 = 4(x + 3)
Answer:
x = \(\frac{5}{8}\)
Step-by-step explanation:
Given
- 4(3 + x) + 5 = 4(x + 3) ← distribute parenthesis on both sides
- 12 - 4x + 5 = 4x + 12 , that is
17 - 4x = 4x + 12 ( subtract 4x from both sides )
17 - 8x = 12 ( subtract 17 from both sides )
- 8x = - 5 ( divide both sides by - 8 )
x = \(\frac{-5}{-8}\) = \(\frac{5}{8}\)
What is the value of 10x when 7x – 7 = 14?
Answer:
10x = 30
Step-by-step explanation:
We have 7x - 7 = 14.
Add 7 on both sides: 7x = 21
Divide 7 on both sides: x=3
So 10x is 10*3 = 30
Solve the following inequality for dd. Write your answer in simplest form. −7d−3>2d-10
Answer:
d < 7/9
Step-by-step explanation:
Add 7d +10
7 > 9d
Divide by 9
7/9 > d
What is 20 10 times as much as?
answer
the answer is 200
Answer:200
Step-by-step explanation:
the domain for the relation a is the set of all real numbers. xay if |x - y| ≤ 2.
The domain relation a consists of all pairs of real numbers whose absolute difference is less than or equal to 2.
The given relation is defined as follows:
a: {(x, y) | x, y ∈ ℝ and |x - y| ≤ 2}
In this relation, the domain is specified as the set of all real numbers, which means that any real number can be used as the input for this relation.
To clarify, if we take any two real numbers, x and y, and the absolute value of their difference, |x - y|, is less than or equal to 2, then the ordered pair (x, y) is included in the relation.
For example, if we choose x = 3 and y = 1, then |3 - 1| = 2, which satisfies the condition |x - y| ≤ 2. Therefore, the ordered pair (3, 1) is in the relation a. Similarly, if we choose x = 2 and y = 4, |2 - 4| = 2, so the ordered pair (2, 4) is also in the relation.
In summary, the relation a includes all ordered pairs (x, y) where the absolute difference between x and y is less than or equal to 2, and it can be used with any real numbers as input.
The relation a is a subset of the Cartesian product of the set of all real numbers with itself, denoted by R × R. In other words, a is a set of ordered pairs (x, y) such that |x - y| ≤ 2, where x and y are real numbers.
For any real numbers x and y, the expression |x - y| represents the absolute value of the difference between x and y. The absolute value of a number is always non-negative, so the inequality |x - y| ≤ 2 means that the distance between x and y on the real number line is less than or equal to 2.
Therefore, the domain of the relation a is the set of all real numbers, since the definition of the relation applies to any two real numbers x and y.
The given relation is defined as follows:
a: {(x, y) | x, y ∈ ℝ, |x - y| ≤ 2}
This relation represents all pairs of real numbers (x, y) where the absolute difference between x and y is less than or equal to 2. In other words, it includes all pairs (x, y) such that the distance between x and y on the real number line is at most 2.
For example, (1, 3) is in the relation a because |1 - 3| = 2, which satisfies the condition |x - y| ≤ 2. Similarly, (5, 6) is in the relation a because |5 - 6| = 1 ≤ 2.
On the other hand, (4, 8) is not in the relation a because |4 - 8| = 4 > 2, violating the condition.
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what is the angle of elevation to a building 1000 m away that is 300 m high?
Let h be height of building
then In ΔABC
AB/BC =tan60degree
h/100 = root 3
h= 100 root 3
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The required angle of elevation of the building is 16.7°.
Given that,
what is the angle of elevation to a building 1000 m away that is 300 m high is to be determined.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
The angle of the elevation is given as,
TanФ = 300/1000
Ф = tan⁻¹(3/10)
Ф = 16.7°
Thus, the required angle of elevation of the building is 16.7°.
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The number a is less than the number b by 1/5 of b. By what part of a is b greater than a?
Answer:
b is greater than a by 1/4 of a
Step-by-step explanation:
The statement “The number a is less than the number b by 1/5 of b”
means “if we subtract one fifth of b from b itself we get a”
we write this mathematically like this :
\(a=b-\frac{b}{5}\)
_________
\(\rightarrow a = \frac{5b-b}{5} =\frac{4b}{5}\)
\(a=\frac{4b}{5} \Longrightarrow 5a=4b\)
\(5a=4b\Longrightarrow b=\frac{5a}{4}\)
\(\Longrightarrow b=\frac{5a}{4} =\frac{4a+a}{4}=\frac{4a}{4}+\frac{a}{4}=a+\frac{a}{4}\)
Answer:
0.25
Step-by-step explanation:
Started at –20° and changed 0° whats is the slope
Answer:
See below
Step-by-step explanation:
Start out -20 and change 0° ?
then there is zero slope as this would be a horizontal line.
X and y are normal random variables with e(x) = 2, v(x) = 5, e(y) = 6, v(y) = 8 and cov(x,y)=2. determine the following: e(3x 2y) (2 points) v(3x 2y) (4 points) find p(3x 2y>20) (4 points)
The result for the given normal random variables are as follows;
a. E(3X + 2Y) = 18
b. V(3X + 2Y) = 77
c. P(3X + 2Y < 18) = 0.5
d. P(3X + 2Y < 28) = 0.8729
What is normal random variables?Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.
Now, according to the question;
The given normal random variables are;
E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.
Part a.
Consider E(3X + 2Y)
\(\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}\)
Part b.
Consider V(3X + 2Y)
\(\begin{aligned}V(3 X+2 Y) &=3^{2} V(X)+2^{2} V(Y) \\&=(9)(5)+(4)(8) \\&=77\end{aligned}\)
Part c.
Consider P(3X + 2Y < 18)
A normal random variable is also linear combination of two independent normal random variables.
\(3 X+2 Y \sim N(18,77)\)
Thus,
\(P(3 X+2 Y < 18)=0.5\)
Part d.
Consider P(3X + 2Y < 28)
\(Z=\frac{(3 X+2 Y-18)}{\sqrt{77}}\)
\(\begin{aligned} P(3X + 2Y < 28)&=P\left(\frac{3 X+2 Y-18}{\sqrt{77}} < \frac{28-18}{\sqrt{77}}\right) \\&=P(Z < 1.14) \\&=0.8729\end{aligned}\)
Therefore, the values for the given normal random variables are found.
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The correct question is-
X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8. Determine the following:
a. E(3X + 2Y)
b. V(3X + 2Y)
c. P(3X + 2Y < 18)
d. P(3X + 2Y < 28)
answer is Incorrect. (b): Your answer Is Incorrect. Brian deposits $7000 into an account that pays simple interest at an annual rate of 2%. He does not make any more deposits. He makes no withdrawals until the end of 2 years when he withdraws all the money.
The amount withdrawn at the end of the 2 years is given as follows:
$7,280.
How to obtain the balance using simple interest?The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are listed and explained as follows:
A(t) is the final balance.P is the value of the initial deposit.r is the interest rate, as a decimal.t is the time in years.The parameter values for this problem are given as follows:
P = 7000, r = 0.02, t = 2.
Hence the balance of the account at the end of the two years, representing the amount withdrawn, is given as follows:
A(2) = 7000 x (1 + 0.02 x 2)
A(2) = $7,280.
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if the area of the triangle is 261 square meters, find the value of x.
The value of x which is the length of the base of the triangle in the question is; 29 meters
What is a triangle?A triangle is a three sided polygon, with three interior angles.
Please find attached the possible diagram in the figure, (created with MS Word), which is a question from a mathematics textbook posted on the internet
The diagram indicates that the altitude or height of the triangle = 8 meters
The specified area of the triangle is; A = 261 square meters
The base length of the triangle = x
The formula for the area of a triangle, A, is; A = (1/2) ×Base length × Height
Therefore;
A = 261 m² = (1/2) × x × 18 m
x = 261 m² ÷ ((1/2) × 18 m) = 29 m
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get it right for brainliest
Answer:
U={1,2,3,4,5,6,7,8,9,}
A={1,3,5,7,9}
B={2,4,6,8}
C={1,2,3,4,5,6}
now,
A∩B={nothing}U c
={1,2,3,4,5,6,7}
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Practice Problems
Lance and Dimetri are playing a marble game. According to their rules, 3 points are awarded for
each red marble collected and 2 points are awarded for each green marble collected.
The number of points per player is found using the following expression:
3r + 29
How many points would be given for 5 red and 6 green marbles?
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Solve questions 3-9 please.
The graph of a proportional relationship is a line through the origin or a ray whose endpoint is the origin
3. No because it's a line that doesn't go through the origin
4. Yes because it's a line through the origin
5. Yes because 1/3 = 2/6 = 3/9 = 4/12
6. No because 4/2 isn't equal to 8/5
7. Draw a graph just like 4., but change the y-axis
8. a. Let the equation be y = ax. 27 = 3a. a = 9. Therefore the equation is y = 9x.
8. b. 9
8. c. 9 * 5 = 45
9. a. The car travels 25 (> 18) miles per gallon of gasoline.
9. b. 25 * 8 - 18 * 8 = 7 * 8 = 56
Which equation correctly uses point (-2, 6) to write the
equation of this line in point-slope form?
A.y-6 = {(x-2)
B.y-6 = (x - 2)
C.y+6= }(x + 2)
D.y+6= {(x + 2)
Answer:
Y+6=5/2(x+2)
Step-by-step explanation:
y-Y1=m(x-X1)
Insert -2 into x1 and -6 into y1
Then find the slope which we know slope is m
And that gets you y+6=5/2(x+2)
Answer:
D. Y+6=5/2(x+2)
Step-by-step explanation:
Which of the following is an acceptable way to express the useful life of a depreciable asset?a.Expected number of units to be produced by the depreciable asset b.Expected number of hours the depreciable asset will remain productive .c .Expected number of miles a depreciable vehicle will be driven d.Expected life in years of the depreciable asset
d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.
The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.
While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.
Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.
It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.
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anyone know how to do this
Answer:
Maybe A),I might be WrongThe path from the subway station to the art museum is three blocks to the north then four blocks to the west.
What is the straight-line distance in blocks from the subway station to the art museum?
Answer:
7 block s
Step-by-step explanation:
3 from North plus
4 from West
4+3=7
Warren flipped a coin and rolled a 20-sided die. What is the probability that his coin landed on tails and his die rolled a factor of 20? Write your answer as a simplified fraction.
Answer:
1/40
Step-by-step explanation:
The probability of a coin landing on tails is 1/2.
The probability of his die rolling a factor of 20 is 1/20
So 1/2 x 1/20 = 1/40
Find the indicated side of the triangle.
b
45°
a
28
the answer should be 14√2
edit: its 28 over 2
What is the equation of the following line? Be sure to scroll down first to see all answer options.
A. y = 3x
B. y = x
C. y = 2x
D. y = -1/3x
E. y = -3x
F. y = 1/3x