The line is 7 units long. Add the two equations together and set equal to 7:
7x-1 + 2x-1 = 7
Combine like terms:
9x-2= 7
Add 2 to both sides:
9x= 9
Divide both sides by 9:
X= 1
Answer:
For 2x -1, X = 3 (2 x 3 = 6 - 1 = 5)
For 7x -1, X = 1/7 or 0.142857.
Step-by-step explanation:
in 1940 john atansoff a physicist from iows state university wanted to solvve a 29 x 29 linear system of equations. how many arithmetic operations would this have required.
In 1940, John Atanasoff, a physicist from Iowa State University, wanted to solve a 29 x 29 linear system of equations. To solve this system using Gaussian elimination, it would have required approximately 29^3/3 = 24389 arithmetic operations.
In 1940, John Atanasoff developed the Atanasoff-Berry Computer (ABC), which was the first electronic computer. Atanasoff wanted to use the ABC to solve a 29 x 29 linear system of equations.
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50 points and brainiest PLS DO MY HOMEWORK BY THURSDAY FEBRUARY 2ND
(a) Use six rectangles to find estimates of each type for the area under the given graph of f from x
We have to find the area under the graph but since we are not given the graph ,So let's learn how it is done. To estimate the area under the graph of function f from x, you can use rectangles. Here's how you can do it:
Step 1: Divide the interval [a, b] into six equal subintervals.
Step 2: Calculate the width of each rectangle by dividing the total width of the interval [a, b] by the number of rectangles (in this case, 6).
Step 3: For each subinterval, find the value of the function f at the right endpoint of the subinterval.
Step 4: Multiply the width of the rectangle by the value of the function at the right endpoint to find the area of each rectangle.
Step 5: Add up the areas of all six rectangles to estimate the total area under the graph of f from x.
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2. Which of the following is not an example of
a perfect square?
a. 9
b. 200
C. 4
d. 64
Please help me with this equation
Answer:21.46 is her profit
Step-by-step explanation:
HELP ME PLZ WILL GIVE BRAINLIEST
Answer:
x = 23.33333
y = 35
Step-by-step explanation:
3x+2y=70
Geometric figure: Straight Line
Slope = -3.000/2.000 = -1.500
x-intercept = 70/3 = 23.33333
y-intercept = 70/2 = 35
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 35/1 so this line "cuts" the y axis at y=35.00000
y-intercept = 70/2 = 35
Calculate the X-Intercept :
When y = 0 the value of x is 70/3 Our line therefore "cuts" the x axis at x=23.33333
x-intercept = 70/3 = 23.33333
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 35.000 and for x=2.000, the value of y is 32.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 32.000 - 35.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -3.000/2.000 = -1.500
Geometric figure: Straight Line
Slope = -3.000/2.000 = -1.500
x-intercept = 70/3 = 23.33333
y-intercept = 70/2 = 35
This answer was already on Brainly**
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Answer:
x=10
y=30
Step-by-step explanation:
no need to give brainliest
y=3x
x=-2y+70
sub. y in second equation
x= -6x +70
Subtract -6x from both sides
7x=70
divide both sides by 7
x=10
now solve first equation fro y
y=30
An oblique prism has trapezoidal bases and a vertical height of 10 units. An oblique trapezoidal prism is shown. The trapezoid has base lengths of x and 2 x, and a height of x. The distance between the 2 trapezoid bases is 20. The vertical height of the prism is 10. Which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units
Answer:
volume of trapezoidal prism = 15x^2 cubic units
Step-by-step explanation:
First, area of the trapezoidal bases.
Parallel sides measure x and 2x, for an average of 1.5x.
Height = x
Area of trapezoidal base = 1.5x*x = 1.5x^2
Volume of prism = area base * height
(length does not matter, height does)
= 1.5x^2 * 10 = 15x^2
The volume of the prism is 15x² cubic units if the oblique prism has trapezoidal bases and a vertical height of 10 units option (B) 15x² cubic units is correct.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
An oblique prism has trapezoidal bases and a vertical height of 10 units.
As we know, the area of the trapezoidal bases:
From the figure:
Height = x
Area of trapezoidal base = (1.5x)(x) = 1.5x²
The volume of prism = area base×height
= 1.5x²×10 = 15x² cubic units
Thus, the volume of the prism is 15x² cubic units if the oblique prism has trapezoidal bases and a vertical height of 10 units option (B) 15x² cubic units is correct.
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what is 15/3 equal to
Answer: 5
Step-by-step explanation:
Smh
find the inverse of the function, and then determine whether the inverse is a function. y=3 sqrt x-5
Exponential growth is represented by the functions:i only: y = abxii only: y = a(b + r)xiii only: y = aertiv only: y = ae (rt + st2)Therefore, the function(s) that represent exponential growth are
Option D: i, ii, and iv :Option A is incorrect because only one function is identified.Option B is incorrect because only one function is identified.Option C is incorrect because only two functions are identified.
Given function is:y = 3√x - 5To find the inverse of the function, we can interchange x and y and solve for y. Let's do that:x = 3√y - 5x + 5 = 3√y(x + 5)/3 = √y(x + 5)²/9 = yThus, the inverse of the function is: y = (x + 5)²/9To determine whether the inverse is a function, we need to check if for every value of x, there is only one value of y. In other words, the inverse passes the vertical line test.If we sketch the graph of the inverse, we get:graph{(x+5)^2/9 [-10, 10, -5, 5]}The graph passes the vertical line test. Hence, the inverse is a function.
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what are the inverse operations for addition and multiplication?
Answer:
Operations Inverse operations
Addition Subtraction
Subtraction Addition
Multiplication Division
Division Multiplication
Step-by-step explanation:
i hope this will help you
Which expression is equivalent to 2(3 - x) - 12 + 4x
1. 3X-7
2. 2x - 7
3. 2X-6
4. 3x - 6
Please help
-4.5,1.5),(0,-2),(-1.2,0)
what percentage of persons who lose weight are able to maintain it for more than a year?
Answer: 20%
Step-by-step explanation:
I NEED HELP PLEASE ASAP, It's due soon.
9.77 let y1, y2,..., yn denote independent and identically distributed uniform random variables on the interval (0, 3θ). derive the method-of-moments estimator for θ.
The method-of-moments estimator for θ is θ = (2 * Y_bar) / 3.
How to derive the method-of-moments estimator for θ?To derive the method-of-moments estimator for θ using the given interval and variables, follow these steps:
1. Given that y1, y2,..., yn are independent and identically distributed uniform random variables on the interval (0, 3θ), their probability density function (pdf) can be expressed as f(y) = 1/(3θ) for 0 < y < 3θ.
2. Calculate the expected value (mean) of the uniform distribution. The expected value E(Y) for a uniform distribution on the interval (0, 3θ) is (3θ - 0) / 2 = 3θ / 2.
3. The method-of-moments estimator involves matching the sample moments with the population moments. In this case, we match the sample mean with the population mean. Let Y_bar be the sample mean, which can be calculated as Y_bar = (y1 + y2 + ... + yn) / n.
4. Now, equate the sample mean Y_bar with the population mean E(Y) to get the method-of-moments estimator for θ:
Y_bar = 3θ / 2
5. Solve for θ:
θ = (2 * Y_bar) / 3
So, the method-of-moments estimator for θ is θ = (2 * Y_bar) / 3, where Y_bar is the sample mean of the independent and identically distributed uniform random variables on the interval (0, 3θ).
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6
In 2019, about 19 million
tourists visited Venice just for
the day. That's times the sum of
19 million and t, the number of
tourists who visited Venice for
multiple nights in 2019. Write and
solve an equation using the
variable t.
The two possible values for t are:
t1 = (-1 + √5) / 2
t2 = (-1 - √5) / 2
Solving the equation gives us
t1 = -1 + √5
t2 = -1 - √5
Let's write an equation using the variable t to represent the number of tourists who visited Venice for multiple nights in 2019.
According to the given information, the number of tourists who visited Venice just for the day is 19 million. We need to find the number of tourists who visited for multiple nights, so we'll multiply this by some factor.
The equation can be written as:
19 million = t times (19 million + t)
Simplifying this equation:
19 million = 19 million t +\(t^2\)
Rearranging the equation to standard form:
\(t^2\) + 19 million t - 19 million = 0
Now we have a quadratic equation. To solve it, we can either factor it or use the quadratic formula.
However, we can simplify the equation further by dividing both sides by 19 million:
\(t^2\) + t - 1 = 0
Now we have a simplified quadratic equation. We can use factoring, completing the square, or the quadratic formula to solve it. However, the quadratic equation does not easily factor, so we can use the quadratic formula:
t = (-b ± √(\(b^2\) - 4ac)) / (2a)
For this equation, a = 1, b = 1, and c = -1. Substituting these values into the quadratic formula, we get:
t = (-1 ± √(\(1^2\) - 4(1)(-1))) / (2(1))
Simplifying further:
t = (-1 ± √(1 + 4)) / 2
t = (-1 ± √5) / 2
Therefore, the two possible values for t are:
t1 = (-1 + √5) / 2
t2 = (-1 - √5) / 2
By solving these we get,
t1 = (-1 + √5) / 2 \(\times\)(2/2)
= (-1 + √5) / (2/2)
= (-1 + √5) / 1
= -1 + √5
t2 = (-1 - √5) / 2 \(\times\)(2/2)
= (-1 - √5) / (2/2)
= (-1 - √5) / 1
= -1 - √5
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help brainlest to whoever i told to
Answer:
It could only be C
Step-by-step explanation:
This equation has one solution.
5(0-1) + 3y = 7(x + 1)
What is the solution?
Answer:
7x - 3y = -12
Step-by-step explanation:
5(0-1) + 3y = 7(x + 1)
using BODMAS to solve
5(-1) + 3y = 7(x + 1)
-5 + 3y = 7x + 7
7x - 3y = -5 - 7
7x - 3y = -12
A line with a slope of –1/4 passes through the point (–6,5). What is its equation in point-slope form?
The point- slope form of the line is y-5 = -0.25(x+6).
What is line?
A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.
A line with a slope of –1/4 passes through the point (–6,5)
Any line in point - slope form can be written as
y - y₁= m(x -x₁) -------(1)
where,
y= y coordinate of second point
y₁ = y coordinate of first point
m= slope of the line
x= x coordinate of second point
x₁ = x coordinate of first point
In the given problem (x₁ , y₁) = (-6,5) and m= -1/4
Putting all these values in equation (1) we get,
y-5= (-1/4) (x- (-6))
⇒ y-5 = -0.25(x+6)
Hence, the point- slope form of the line is y-5 = -0.25(x+6).
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16 days 5 hours 23 minutes. how many minutes and hours come out in total?
Answer:
389 hours and 23 minutes
Step-by-step explanation:
16x24=384
384+=5=389
and 23 minutes
Find the present value of a sequence of annual payments of Rs 25000 each , the first being made at the end of 5th year and the last being paid at the end of 12th year, if money is worth 6%.
The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.
1: We can use the formula to calculate the present value of the annuity:
P = A x [1 - (1+i)^-n] / i
Where
P = Present Value
A = Annuity
i = Interest Raten = Number of payments
2: Calculate the present value of each payment using the formula:
P1 = 25000 / (1.06)⁵
P2 = 25000 / (1.06)⁶
P3 = 25000 / (1.06)⁷
P4 = 25000 / (1.06)⁸
P5 = 25000 / (1.06)⁹
P6 = 25000 / (1.06)¹⁰
P7 = 25000 / (1.06)¹¹
P8 = 25000 / (1.06)¹²
3: Substitute the values into the formula to find the present value:
P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8
P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)
P = 158620.39
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Of fixed-rate, percentage, and triple net leases, which makes financial planning easiest for a business owner?
A:fixed-rate
B:Percentage
C:Triple net
The option that makes financial planning easiest for a business owner is: A: Fixed rate.
What is fixed rate?Fixed rate can be defined as the interest rate charge on loan and does not varies or change but remain the same.
Fixed rate is of paramount as it makes financial planning easiest for a business owner based on the fact that the interest rate does not change.
Therefore the option that makes financial planning easiest for a business owner is: A: Fixed rate.
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What is the formula for this table of values?
Answer:
(3, 6)
(13.5, 27)
(8, 16)
rule: 2|x|
Step-by-step explanation:
by the looks of this table, -2 and 2 having y = 4 makes this an absolute value function
The function equation would be: y = 2|x| where the parent function is compressed by 2
if x = 3, than y = 6 which you can find this by 3 x 2
if y = 27, than x = 13.5 which you can find this by 27 / 2
if x = 8, than y = 16 which you can find this by 8 x 2
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15. In the graph below, f(x) is a linear function and g(x) is an exponential function. Using the graph provided, what is
the equation for f(x)? What is the equation for g(x)?
Answer:
That'd be B. The red graph has the classic shape of an exponential function (y-intercept (0,1), and the blue on e has the shape of a log function (x-intercept (1,0). These two functions are inverses of one another, and so their graphs are reflections about the line y = x.
Step-by-step explanation:
Help me with this Question Please.
Answer:
\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)
41. A bag contains 20 balls numbered from 1 to 20.
Two balls are selected at the same time from the bag.
What is the probability that the two numbers selected do NOT differ by 12?
Answer: 77/95 chance
Step-by-step explanation: There are 8+7+6+5+4+3+2+1 = 36 choices that differ by 12 or more, so the probability they differ by 12 or more is 36/190 = 18/95. So the probability that they do not differ by 12 or more is 1 - 18/95 = 77/95. Brainliest please?
Karma wants to buy cereal bars from the corner shop or the super market. What is the cost of 10 cereal bars at the cheaper shop? Give answers is pounds
5=4. 2=1. 50
The cost of 10 cereal bars at the cheaper shop (i.e. at supermarket) = £7.5
We can observe that at corner shop, 5 cereal bars cost 4 pounds.
So, using unitary method, 1 cereal bar costs 5/4 = 0.8 pounds.
And at supermarket, 2 cereal bars cost 1.50 pounds.
so, using unitary method one cereal bar costs 1.5/2 = 0.75 pounds.
This means that supermarket is cheaper than the corner shop.
Now we need to finnd the cost of 10 cereal bars at the cheaper shop i.e., to find the cost of 10 cereal bars at supermarket.
Let us assume that the cost of 10 cereal bars is m pounds.
Using unitary method the cost of 10 cereal bars at supermarket would be:
x = (number of cereal bars) × (cost of each cereal bar)
x = 10 × 0.75
x = 7.5 pounds
Therefore, the cost of 10 cereal bars at the cheaper shop = £7.5
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Find the complete question below.
Karma wants to buy cereal bars from the corner shop or the super market. What is the cost of 10 cereal bars at the cheaper shop?
Someone plz help me giving brainliest
Answer
Use the fact that 45 times 1/9 = 5. Them multiply by 8 to get the answer, 40.
Step-by-step explanation:
Let A be a complex (or real) n x n matrix, and let x in C^n be an eigenvector corresponding to an eigenvalue (lambda) in C Show that for each nonzero complex scalar (nu) , the vector (nu) x is an eigenvector of A
The vector (nu) x is an eigenvector of A and corresponds to each nonzero complex scalar (nu) (lambda).
Let x in Cn be an eigenvector of A that corresponds to an eigenvalue. Assume that A is a n x n matrix (lambda). Ax = (lambda)x follows.
Let (nu) now be a complex scalar that is nonzero. A((nu)x) = A((nu)x) = A((nu)x) = A((nu)x) = A((nu)x) = A((nu)x)
As a result, (nu)x is an eigenvector of A that corresponds to (nu) (lambda).
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In a short sentences please, Prove that the sum of two rational numbers is rational. THANK YOU!!!
The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.
How does this work?A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.
When we add two rational numbers together, we can use the following formula:
a/b + c/d = (ad + bc) / bd
where a, b, c, and d are integers and b and d are not equal to zero.
This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.
For example, if we want to add 1/2 and 2/3 together, we can use the formula above:
1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6
Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.
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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).
If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.
If rs equals 2x+j and st =3x -2 and rt equals 24 find the value of x then find or st
The value of x is 5.
According to the given question.
We have
rs = 2x + 1
And,
st = 3x - 2
Also rt = 24
Here,
rt = rs + st
So, substitute the values of rs, rt and st in the above equation.
⇒ 24 = (2x + 1) + ( 3x - 2)
⇒ 24 = 2x + 1 + 3x -2
⇒ 24 = 5x -1
⇒ 5x = 25
⇒ x = 25/5
⇒ x = 5
Hence, the value of x is 5.
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