The solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.
According to the given question.
We have a linear equation in two variables 2r - 2p = n.
Here we have to solve the given linear equation 2r - 2p = n in two variables for p.
So, the solution of the equation 2r - 2p = n for p is given by
2r - 2p = n
⇒ 2(r - p) = n (taking 2 as a common)
⇒ r - p = n/2 (dividing both the sides by 2)
⇒ r - n/2 - p = 0 (subtracting n/2 from both the sides)
⇒ r - n/2 = p (adding p both the sides)
⇒ p = r -n/2
Hence, the solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.
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f (x) = -4x² + 10x + 13
Find f(7)
Will give brainliest and 5 star rating. Thank you. :)
Answer:
f(7) = -113
Step-by-step explanation:
Hello!
Substitute 7 for x in the equation.
Evaluatef(x) = -4x² + 10x + 13f(7) = -4(7)² + 10(7) + 13f(7) = -4(49) + 70 + 13f(7) = -196 + 70 + 13f(7) = -113f(7) is -113.
A hiker first hiked down into a canyon 1,345 feet below sea level. She then hiked 950 feet up the side of a mountain. What was the final altitude of the hiker?
The final altitude of the hiker 395 feet.
How to compute the value?From the information, the hiker first hiked down into a canyon 1,345 feet below sea level and she then hiked 950 feet up the side of a mountain.
This will be:
= -1345 + 950
= 395
Therefore, the final altitude of the hiker 395 feet.
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how do you rewrite 4+(-7)
Answer:
-3
Step-by-step explanation:
4+(-7), In math you always have to do parentheses first. But, 4+(-7) equals -3 because -7 is bigger than 4. So it equals -3.
what is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? (1 point) y − 5
y - 11 = -3 ( x + 2) is the equation in point-slope form of the line .
What is slope ?
The inclination of a line with respect to the horizontal is measured numerically. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run").Given points : (0, 5) and (−2, 11)
Slope of the line passing through given points
[tex]m = \frac{y_{2}- y_{1} }{x_{2} - x_{1} } = \frac{11 - 5}{-2 - 0} = \frac{6}{-3} = -3[/tex]
Thus, slope of line passing through given points m=-3
We know that the equation of a line passing through points ( x₀ , y₀) with slope 'm' is ( y - y₀ ) = m(x - x₀)
Thus, equation of a line passing through (−2, 11) with slope m=-3 will be
( y - 11 ) = -3 ( x - (-2))
y - 11 = -3 ( x + 2)
Hence, the equation of line is y - 11 = -3 ( x + 2).
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Write a rule for the function:
1 6
2 11
3 16
4 21
Answer:
4 21
Step-by-step explanation:
Its probably the answer you are looking for
Find the value of x needed to make the equation below true.
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
[tex]-4\left(1.5x-5\right)+4x=26[/tex]
Subtract 20 from both sides.
[tex]-2x+20-20=26-20[/tex]
-2x=6
[tex]\frac{-2x}{-2}=\frac{6}{-2}[/tex]
[tex]x=-3[/tex]
Can you draw the shape and tell me the correct coordinate points?
Answer:
P(-3,6), Q(-6,3), R(0,3)
Marco's monthly budget is $3550. What is the total amount of money Marco spends monthly on his house payment?
respond to the following in a minimum of 175 of your own words: how would you explain the differences between the trapezoidal rule and simpson's rule to a first-year student majoring in math? what do these rules solve? what are the error limits of each method? under what circumstances would you use one method instead of the other?
The differences between the trapezoidal rule and simpson's rule is -
The trapezoidal rule and Simpson's method, the latter a set of formulas of varying complexity, are both Newton-Cotes formulas, that are used to examine and model complex curves.
What is trapezoidal rule?The trapezoidal rule is just an integration rule that divides a curve into small trapezoids to calculate the area under it. A area under the curve is calculated by adding the areas of all the small trapezoids.
Follow the steps below to use the trapezoidal rule to determine the area under given curve, y = f. (x).
Step 1: Write down the total number of sub-intervals, "n," as well as the intervals "a" and "b."Step 2: Use the formula to determine the width of the sub-interval, h (or) x = (b - a)/n.Step 3: Use the obtained values to calculate this same approximate area of a given curve, ba f(x)dx Tn = (x/2) [f(x0) + 2 f(x1) + 2 f(x2) +....+ 2 f(n-1) + f(n)], where xi = a + ixWhat is Simpson's method?Simpson's rule is used to approximate the area beneath the graph of the function f to determine the value of the a definite integral (such that, of the form b∫ₐ f(x) dx.
Simpson's 1/3 rule provides a more precise approximation. Here are the steps for using Simpson's rule to approximate the integral ba f(x) dx.
Step 1: Figure out the values of 'a' & 'b' from interval [a, b], as well as the value of 'n,' which represents the number of subintervals.Step 2: Determine the width of every subinterval using the formula h = (b - a)/n.Step 3: Using the interval width 'h,' divide this same interval [a, b] [x₀, x₁], [x₁, x₂], [x₂, x₃], ..., [xn-2, xn-1], [xn-1, xn] into 'n' subintervals.Step 4: In Simpson's rule formula, substitute all of these values and simplify. b∫ₐ f(x) dx ≈ (h/3) [f(x0)+4 f(x1)+2 f(x2)+ ... +2 f(xn-2)+4 f(xn-1)+f(xn)].Thus, sometimes we cannot solve an integral using any integration technique, and other times we don't have a particular function to integrate. Simpson's rule aids in approximating the significance of the definite integral in such cases.
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What is an equation of the line that passes through the
points (2, -3) and (2, 6)?
Answer: It is the point where the line crosses the x axis of the cartesian coordinates. We can write an equation of the line that passes through the points y=0 as follows: Using the equation: y = 3x – 6, put y=0. To find the x-intercept. 0 = 3x – 6. 3x = 6. The x-intercept is 2 of the slope-intercept form of line
An urn contains 19 red marbles, 29 blue marbles, and 43 yellow marbles. one marble is to be chosen from the urn without looking. what is the probability of choosing a red marble?
The probability of choosing a red marble is 1/6.
What is probability ?Probability is the chance of occurring a certain event out of total possible events that can order in a given situation.
According to the given question an urn contains 19 red marbles, 29 blue marbles, and 43 yellow marbles.
So there are total of ( 19 + 29 + 43 ) = 85 marbles.
∴ No. of sample space N(s) = 85.
No. of red marble N(red) = 19.
One marble is to be chosen from the urn without looking the probability of choosing a red marble P(red) is N(red)/N(s) which is
P(red) = 19/85
P(red) = 1/5.
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Find the coordinates of the mid point if the end points are (2,-6) (-8,5)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -8 +2}{2}~~~ ,~~~ \cfrac{ 5 -6}{2} \right) \implies \left(\cfrac{ -6 }{2}~~~ ,~~~ \cfrac{ -1 }{2} \right)\implies \left(-3~~,~~-\cfrac{1}{2} \right)[/tex]
A company is making building blocks. Each building block is a cube and has volume 64/ 125 cubed . How long is each side of the building blocks?
The length (in feet) of each side of the cube block is 1(one) ft.
What is a cube?
A cube is a three-dimensional solid object in the figure that's girdled by six square faces, angles, or sides, three of which meet at each vertex.One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges. The cube is also a right rhombohedron, a 3- zonohedron, a square parallelepiped, and an equilateral cuboid. In three exposures, it's a normal square prism, and in four, it's a trigonal trapezohedron.Volume of cube is given by,
V = [tex]L^3\ (length^3)[/tex]
[tex](1 ft)^3 = L^3[/tex]
L = 1ft.
Thus,
The length(in feet) of each side of the block is 1(one) ft.
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A+company+packed+8+dark+chocolates+in+a+box+of+32+assorted+chocolates.+which+of+these+does+not+represent+inferential+statistics?+a.)+25%+of+the+chocol
Answer:
it is 3
Step-by-step explanation:
beacuse i did it
Who is correct? (−3, 6), (−2, 4), (−3, −1), (−1, −6), (−4, −5), (−2, −7), (−5, −9), (−8, −9), (−12, −3), (2, 4), (3, 2) and (4, 1).
Regarding the quadrants, we have that:
Leila is correct, as most y-coordinates are also negative, meaning that most points are in quadrant 3.
What are the signals of the coordinates in each quadrant?There are four quadrants of points (x,y), and their signals are given as follows:
Quadrant 1: x > 0, y > 0.Quadrant 2: x < 0, y > 0.Quadrant 3: x < 0, y < 0.Quadrant 4: x > 0, y < 0.For this problem, we have that Leila is correct, as most y-coordinates are also negative, meaning that most points are in quadrant 3.
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3 Kayla works at a bookstore. One of her jobs is to take books that arrive and place
them on bookshelves in the store. She has four shelves for a shipment of 1 4/5 boxes
of a new novel. Will Kayla be able to stock all the books if each shelf can hold 2/5
box of books?
Use your calculator to work out the following and
write all the figures from your display.
a) √17.5
b) 2.3² + √5.6
Can someone please answer this. I need it today
-19 + 16 + (-42)
Answer:
-45
Step-by-step explanation:
math
-19 + 16 = -3
-3 + (-42) = -45
The picnic shelter must be at least overline 10 feet from any edge of the park. On graph paper with the distance between grid lines representing 10 feet, a city engineer makes a scale drawing of the park, as shown below. The region where the picnic shelter CANNOT be built is shown shaded. The corners of both the park and the region where the picnic shelter may be built are at the intersections of grid lines. The corners of the picnic shelter must also be at the intersections of grid lines. How many different locations in the park are possible for the placement of the picnic shelter?
Answer:
52
Step-by-step explanation:
since the shaded region is an exclusive counting the grid between 13*4 gives 52
We can see here that the number of locations in the park that are possible for the placement of the picnic shelter is C. 52
What is graph paper?Graph paper, also known as grid paper or coordinate paper, is a type of paper that has a grid of equally spaced horizontal and vertical lines drawn on it. The lines form a pattern of squares or rectangles, which facilitates drawing graphs, charts, diagrams, and geometric shapes with precision.
We can see here that multiplying the length and breadth of the picnic shelter using the unshaded boxes, we have:
13 × 4 = 52
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Factor.
1. 9a²-18a
2. 16a³b³ +32a¹b
3. x2+x^ + xử
4. 3x5 + 4x4 - 5x²
5. 2x³-X
Please Help
The below mentioned are the factors of given equations
Factorization:
In mathematics, factorization or factoring is the method of expressing a quantity or another numerical component as a product of many factors, typically small or easier components of the same kind.
In the case of integers, ancient Greek mathematicians were the first to consider factorization. They demonstrated the fundamental theorem of arithmetic, which states that any positive integer can be taken account into a prime number product , which cannot be factored into integers greater than 1. Furthermore, this factorization is unique until the order of the factors is changed.
1)[tex]9a^{2}-18a=9a(a-2)[/tex]
2)[tex]16a^{3}b^{3} +32ab=16ab((ab)^{2} +2)[/tex]
3) inappropriate question
4)[tex]3x^{5} +4x^{4} -5x^{2} =x^{2} (3x^{3} +4x^{2} -5)[/tex]
5)[tex]2x^{3} -x=2(x-1)(x+1)[/tex]
Therefore,The above mentioned are the factors of the given questions.
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Solve for x: 1 < x + 3 < 4
4 > x > 7
4 < x < 7
−2 > x > 1
−2 < x < 1
Answer:
-2 < x < 1
Step-by-step explanation:
Given inequality:
[tex]1 < x+3 < 4[/tex]
[tex]\textsf{If $a < u < b$ \;then\; $a < u$ \;and \;$u < b$}:[/tex]
Case 1
[tex]\implies 1 < x+3[/tex]
[tex]\implies 1-3 < x+3-3[/tex]
[tex]\implies -2 < x[/tex]
[tex]\implies x > -2[/tex]
Case 2
[tex]\implies x+3 < 4[/tex]
[tex]\implies x+3-3 < 4-3[/tex]
[tex]\implies x < 1[/tex]
Combine the intervals:
[tex]-2 < x < 1[/tex]
Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.
Answer: b
Step-by-step explanation:
I think
t = 1,000 + 18h
in the equation above, T represents Brittany's total take home pay, in dollars...
Answer:
c. 55
Step-by-step explanation:
because if you divide the numbers you'll get this
A woman has a total of $9,000to invest. She invests part of the money in an account that pays7%per year and the rest in an account that pays9%per year. If the interest earned in the first year is$710, how much did she invest in each account? She invested $___ at 7% and $___ at 9%.
She invested $5,000 at 7% and $4,000 at 9%
How much is invested at each rate of return?
The amount invested at 7% can be assumed to be x, such that the amount invested at 9% would be total investment of $9000 minus x, which has been invested at the initial rate of 7%
total interest at 7%=interest rate*amount invested
interest rate=7%
amount invested=x
total interest at 7%=7%*x=0.07x
total interest at 9%=9%*(9000-x)
total interest at 9%=810-0.09x
total interest on both accounts=0.07x+810-0.09x
total interest on both accounts=810-0.02x
total interest earned=$710
710=810-0.02x
0.02x=810-710
0.02x=100
x=100/0.02
x=amount invested in the account which earns 7%=$5,000
amount invested at 9%=$9000-$5000
amount invested at 9%=$4,000
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Write two expressions that represent the volume of the cube, one with exponents and one without.
In a class, there are thirty-six students going on a field trip. One sixth
are bringing a lunch from home. How many are bringing their lunch
from home?
two primary services of operating system
Answer:
Step-by-step explanation:
it provides services to both the user and the programs.
it provides program an environment to execute.
Answer:
manage the computer's resources, such as the central processing unit, memory, disk drives, and printersestablish a user interfaceexecute and provide services for applications software.Step-by-step explanation:While on vacation, norma and her family visit mount rushmore in south dakota. they watch a movie in the visitor center for 1 3 of an hour. this accounts for 1 6 of the total time they spend at mount rushmore. which equation can you use to find the total amount of time t norma's family spends at mount rushmore?
Norma's family spends 120 mins at Mount Rushmore
The question is based on the concept of linear equations where 1/3 of an hour spent watching a movie equals 1/6 of the total time spent at Mount Rushmore by Norma and her family.
The time they watched the movie = 1/3 of an hour
Time spent at Mount Rushmore = 1/6 of the whole time
The equations will be as follows:
1/3 of an hour = 1/6 of the whole time
20 mins = 1/6 of the whole time
120 mins = The time they spent at Mount Rushmore
So, Norma's family spends 120 mins at Mount Rushmore
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How many triangles can be made if one angle is 95° and another angle is acute?
A. 1
B.2
C. More than 2
D. None
Answer:
D. None Beacouse triangles are 3-sided not 2-sided.
Step-by-step explanation:
None
What is 7[2.5 + 3(12 - 7)] and can you please show me how to do it
Answer: 122.5
Step-by-step explanation:
First, you have to do the distributive property for all numbers. In order to do that, you must first combine like terms.
Combining like terms are numbers that are in the parenthesis that don't have an exponent, variable, etc. In this case, you would combine 12 and -7 since they are in the same parenthesis case. 12-7 would be 5. Now, you have 7[2.5] + 3(5)]
Next, you use PEMDAS which means multiplication (parenthesis) is next which means you multiply 3 and 5. 3x5 - 15.
After that, you combine like terms again with the 2.5 and the 15 since the 15 is now out of the parenthesis. 2.5 + 15 = 17.5
Finally, you take the 7 and multiply that by 17.5 now that you have those 2 numbers left and they are in the brackets. 17.5x7 is 122.5!
However, if there is a variable to solve for, then the answer would be none/no solution because both sides are not equal.