The value of m in the equation m=-(4+m)+2 is -1.
How are linear equations solved step-by-step?
Clear decimals or fractions.Remove parentheses from each side of the equation and combine similar phrases to make it simpler.Remove the variable term from the equation's other side.Divide each side of the equation to find the solution.Verify your response.One of the easiest methods for resolving a system of linear equations is graphing. Simply plot each equation as a line on a graph and identify the point or points where the lines converge to find the value. These equations are simple to graph because they are already expressed in slope-intercept form.
m = -(4+m)+2
m = -4 -m + 2
m = -2 - m
m + m = -2
2m = -2
m = -1
Hence, the value of m in equation m=-(4+m)+2 is -1.
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Yessusuwideosjhddsvhssbsgshyshdgs
Answer:
what
Step-by-step explanation:
Answer:
um, sorry i dont speak gibberish
Step-by-step explanation:
The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), what are the
coordinates of B?
The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), and the coordinates of B is (-1, 1).
To find the coordinates of point B, we can use the midpoint formula, which states that the coordinates of the midpoint between two points (A and B) can be found by averaging the corresponding coordinates.
Let's denote the coordinates of point A as (x1, y1) and the coordinates of point B as (x2, y2). The midpoint M is given as (-4, 2).
Using the midpoint formula, we can set up the following equations:
(x1 + x2) / 2 = -4
(y1 + y2) / 2 = 2
Substituting the coordinates of point A (-7, 3), we have:
(-7 + x2) / 2 = -4
(3 + y2) / 2 = 2
Simplifying the equations:
-7 + x2 = -8
3 + y2 = 4
Solving for x2 and y2:
x2 = -8 + 7 = -1
y2 = 4 - 3 = 1
Therefore, the coordinates of point B are (-1, 1).
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please help me fill in da blanks to
answer dis annoyin question
Answer:
Step-by-step explanation:
b . v vvhc . fhd
find the area of the parallelogram determined by the points p(7, -5, 5), q(-5, -5, -2), r(-9, -8, 10) amd s(-21, -8, 3)
The area of the parallelogram determined by the points P, Q, R, and S is approximately 179.37 square units.
To find the area of a parallelogram determined by four points, we can use the cross product of two vectors. The cross product of two vectors gives us a vector that is perpendicular to the plane of the parallelogram and whose magnitude is equal to the area of the parallelogram. We can then use the magnitude of this vector to find the area of the parallelogram.
First, we need to find two vectors that lie in the plane of the parallelogram. We can do this by subtracting the coordinates of two points to find the vector between them. Let's use points P and Q to find vector PQ, and points P and R to find vector PR:
PQ = Q - P = (-5, -5, -2) - (7, -5, 5) = (-12, 0, -7)
PR = R - P = (-9, -8, 10) - (7, -5, 5) = (-16, -3, 5)
Next, we need to find the cross product of these two vectors:
PQ x PR = (0*5-(-7)*(-5))i - ((-12)*5-(-16)*(-7))j+((-12)*(-3)-(0)*(-16))k = -35i+172j-36k
Finally, we need to find the magnitude of this vector, which is equal to the area of the parallelogram:
Area = √(35² + 172² + 36²) = √(32,176) ≈ 179.37 sq. unit
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If the least value of n is 4, which inequality best shows all the possible values of n?
n ≤ 4
n ≥ 4
n < 4
n > 4
If the least value of n is 4, then the inequality best shows all the possible values of n is, n ≥ 4. So Option B is correct
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given that,
The least value of n is 4,
Inequality representation = ?
It is known that,
Least value of n is 4
So, Minimum possible value of n is 4
Maximum value of n should be more than 4,
In order to satisfy the condition,
So,
n > 4
By combining both the things,
It can be written as,
n ≥ 4
Hence, the best inequality representation is n ≥ 4
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Need help pelase 7th grade math help
The constant of proportionality of the image of actual height and height on set of the items is 20 / 11
Table
= 15.4 inchesStool
= 9.9 incheswindow
= 4 inchesBucket
= 2 inchesHow to get the constant of proportionalityConstant of proportionality are used to increase or decrease image. The situation of increment is usually called magnifying.
solving for the constant of proportionality, assuming the factor is k
height on set * k = actual height
44 * k = 80
k = 80 / 44
k = 20/11
Height on set for other items
Table
= 28 ÷ 20/11
= 15.4 inches
Stool
= 18 ÷ 20/11
= 9.9 inches
window
= 80/11 ÷ 20/11
= 4 inches
Bucket
= 40/11 ÷ 20/11
= 2 inches
The Constant of proportionality is calculated to be 20/11
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I need to find the answer of it plz
Answer:
1
Step-by-step explanation:
The square root cancels out the squared power of 2 so it would just be 13-12
here is a question for all :)
Answer:
The circle on the far left is the sum of 4x + 3y and 2x - y so the answer is 4x + 3y + 2x - y = 6x + 2y. The circle on the far left is the sum of x + 4y and something. To find that "something" we can do 4x + 5y - (x + 4y) = 3x + y which is the value of the bottom right rectangle. This means that the value of the bottom circle is 2x - y + 3x + y = 5x.
Answer:
Step-by-step explanation:
left circle=4x+3y+2x-y=6x+2y
right bottom rectangle=4x+5y-(x+4y)=4x+5y-x-4y=3x+y
Bottom circle=2x-y+3x+y=5x
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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This graph shows the four quadrants of the coordinate plane with a line passing through (0,2) and (6,6) and extending in both directions. Write an equation for the line in y=mx+b. Simplify any fractions.
Therefore, the equation of the line passing through (0, 2) and (6, 6) in y=mx+b form is y = (2/3)x + 2.
How are equations for a line determined?We must ascertain the slope (m) and the y-intercept in order to compute the equation of a line with the formula y=mx+b. (b).
The following formula determines the slope of a line via the points (x1, y1) and (x2, y2):
m = (y2 - y1)/(x2 - x1)
Using (0, 2) and (6, 6), we can calculate:
m = (6 - 2)/(6 - 0) = 4/6 = 2/3
As a result, the line has a 2/3 slope.
We may use the point-slope form of the equation to determine the y-intercept:
y - y1 = m(x - x1)
Using the slope we just discovered and the location (0, 2), we have:
y - 2 = (2/3)x
When we simplify this equation, we obtain:
y = (2/3)x + 2
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Dhanu has a model railway.
(a) He has a train that consists of locomotive and 4 coaches. The mass of the locomotive is 87 g
and the mass of each coach is 52 g.
i) Work out the total mass of the train.
A rectangle has a width represented by the expression-2x+20.The length of the rectangle is 6 more than twice the width.which expression represents the area of the rectangle?
Answer:
8(x^2)+172x+920
Step-by-step explanation:
width=2x+20length=2(width)+62(2x+20)+6
=4x+46
area=lenght ×width(4x+46)×(2x+20)
=4x(2x+20)+46(2x+20)
=8(x^2)+80x+92x+920
=8(x^2)+172x+920
In the diagram shown it is known that A, B and C are collinear with m angle EBD = 58, m angle DBC = 3x-5 and m angle ABE = 2x+2.
(a) Algebraically determine the value of x.
(b) Does BE bisect angle ABD? Justify your response
The three angles can be thought of as being supplementary, and
therefore, sum to 180°
The values and relationships are;
(a) The value of x is 25°(b) Segment BE is not a bisector of of ∠ABDReason:
Given;
m∠EBD = 58°
m∠DBC = 3·x - 5
m∠ABE = 2·x + 2
Solution:
(a) Given that m∠EBD, m∠DBC, and m∠ABE are adjacent angles forming a straight line, we have;
m∠EBD + m∠DBC + m∠ABE = 180° angles forming a straight line are
supplementary
Therefore;
58° + 3·x - 5 + 2·x + 2 = 180°
3·x + 2·x = 180 - 58 + 5 - 2 = 125
\(x = \dfrac{125}{5} = 25\)
x = 25°
(b) m∠ABE = 2·x + 2
∴ m∠ABE = 2 × 25 + 2 = 52
m∠ABE = 52°
m∠ABD = m∠ABE + m∠EBD
∴ m∠ABD = 52° + 58° -= 110°
BE is a bisector of ∠ABD if m∠ABE = m∠EBD
m∠ABE = 52° < 58° = m∠EBD
∴ m∠ABE ≠ m∠EBD
Therefore;
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Question 6 of 8
Jim builds a robot that travels no more than 8 feet per minute. Graph the inequality showing the relationship between the
distance traveled and the time elapsed.
Is it possible for the robot to travel 11 feet in 1.5 minutes?
The robot cannot travel a distance of 11 feet in 1.5 minutes.
What is the inequality equation?
An inequality equation is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
The inequality that represents the relationship between the distance traveled and the time elapsed for Jim's robot is:
d ≤ 8t
where d is the distance traveled in feet and t is the time elapsed in minutes.
To graph this inequality, we can first plot the line d = 8t (which represents the maximum distance that the robot can travel in a given time) and then shade the region below the line to indicate that the distance traveled is less than or equal to 8t.
Here is the graph:
robot_inequality_graph
As for the second question, it is not possible for the robot to travel 11 feet in 1.5 minutes, because according to the inequality d ≤ 8t, the maximum distance that the robot can travel in 1.5 minutes is:
d ≤ 8(1.5) = 12
Therefore, the robot cannot travel a distance of 11 feet in 1.5 minutes.
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how oes the relationship between logarithms and exponential functions help us find solutions
The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.
Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.
One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.
Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.
This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.
Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.
In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.
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Solve for measure of angle a.
55°
a = [?]°
25° ат
Check the picture below.
Find the correct equivalent fractions using multiplication
Answer:
\( \dfrac{25}{45} \)
Step-by-step explanation:
\( \dfrac{5}{9} \times \dfrac{5}{5} = \dfrac{5 \times 5}{9 \times 5} = \dfrac{25}{45} \)
TO DETERMINE THE AMOUNT OF WRAPPING PAPER NEEDED FOR A RECTANGULAR BOX, RYAN FINDS THE SURFACE AREA OF THE BOX. HOW MUCH WRAPPING PAPER IS NEEDED IF THE BOX MEASURES 11 cm by 2 cm by 4 cm?
Answer:
288
Step-by-step explanation:
A=2(11*4+11*7+4*7)
A=2(44+77+28)
A=2(149)
A=\(298 inches^{2}\)
To wrap the provided package, Ryan would need 148 cm² of wrapping paper.
What is Surface area?The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.
Given, the measures of the box are 11 * 2 *4 cm.
We need to find out how much wrapping paper would be required. to achieve that we need to calculate the surface area of the box.
From the general formula of the surface area of a cuboid.
Surface area = 2*(length*width + width * height + width * height)
in our case,
length = 11
width = 2
and height = 4
Thus,
Surface area = 2 (11*2 + 2*4 + 11*4)
Surface area = 2(22 + 8 + 44)
Surface area = 148 cm²
Therefore, Ryan would need 148 cm² of wrapping paper to wrap the box given.
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Sales of a new line of athletic footwear are crucial to the success of a newly formed company, Fleet Shoes. Fleet wishes to estimate the average weekly sales of the new footwear within $200 with 95% reliability. The initial sales indicate the standard deviation of the weekly sales figures to be approximately $1,500. How many weeks of data must be sampled for Fleet to get the information is desires?
Answer:
The number of weeks required = 216 weeks
Step-by-step explanation:
Given that:
Margin of Error E = 200
Confidence interval = 95% = 0.95
Level of SIgnificance = 1 - C.I
= 1 - 0.95
= 0.05
Standard deviation = 1500
The Critical value for Z :
\(Z_{\alpha/2} =Z_{0.05/2} \\ \\ = Z_{0.025} = 1.96\)
The number of weeks( i.e the sample size (n) ) required is :
\(n = (\dfrac{Z_{\alpha/2} \times \sigma}{E})^2\)
\(n = (\dfrac{1.96 \times 1500}{200})^2\)
\(n = (14.7)^2\)
n = 216.09
n ≅ 216 weeks
true/false. classification scope determines what data you should classify; classification process determines how you handle classified data.
The given statement " classification scope determines what data you should classify; while classification process determines how you handle classified data" is true because it correctly states the definitions of classification scope and classification process.
The classification scope determines the data that you should classify, while the classification process determines how you should classify the data. The classification process involves determining the appropriate classification levels and rules for handling classified data, such as who is authorized to access the data, how the data should be stored, and how the data should be transmitted. The classification scope, on the other hand, defines the data elements that need to be classified and the criteria for determining the appropriate classification level for each data element.
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A metal box has a weight of 8 x 10^3 grams. Find, in standard form, the weight of 10 of these metal boxes
Answer:
8 x 10^4 grams
Step-by-step explanation:
8 x 10^3 is 8000 so 10 x 8000 is 80,000
80,000 in standard form is 8 x 10^4
Complete the ratio table
-10/17 divided by (-15/17)
Answer:
0.66
Step-by-step explanation:
y=2/5+2 how to get the x intercept
Answer:
Step-by-step explanation:
The equation you provided, y = 2/5 + 2, appears to be missing the variable x. Assuming you meant y = 2/5x + 2, here's how you can find the x-intercept:
To find the x-intercept, we need to find the value of x when y = 0. This is because the x-intercept is the point on the graph where the line crosses the x-axis, and at that point, the y-coordinate is always 0.
So, we can set y = 0 in the equation:
0 = 2/5x + 2
Subtracting 2 from both sides:
-2 = 2/5x
Multiplying both sides by 5/2:
-5/2 = x
Therefore, the x-intercept is at the point (-5/2, 0).
find the (f+g)(x) of f(x)=2x+3 g(x)=x2+x2-7.
Answer:
2x^2+2x-4
Step-by-step explanation:
thats assuming x2 is x squared
During an experiment, the temperature of a solution changes from 945°F to 1714°F.
What is the percent of increase in the temperature of the solution?
Enter your answer in the box as a percent rounded to the nearest hundredth.
%
We have that the percent of increase in the temperature is mathematically given as
P=81.376%
The percent of increase in the temperature
Question Parameters:
During an experiment, the temperature of a solution changes from 945°F to 1714°F.
Generally the equation for the Rise in temperature is is mathematically given as
945=1714*x
x=0.55
Therefore
55% of 1714 gives 945
Hence, The parentage increase is
P=(1714-945)/945*100
P=81.376%
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Answer:
the answer is 76.02
Step-by-step explanation: K12 orva 7th grade 2.04 Quiz: Percent Increase or Decrease
What is 350,000 as a whole number and a power of ten
Answer:
350,000 add ten more zeros
Step-by-step explanation:
350,000¹⁰ 350,000 000,0000
The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines? There are no zeroes on the chart. What do I do
To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:
Examine the tables and identify a pattern or relationship between the x-values and y-values for each line.Determine the slope (rate of change) of each line by calculating the difference in y-values divided by the difference in x-values for any two points on the line.Once you have the slopes, compare them to see if they are equal or different.If the slopes are different, the lines intersect at a single point, which represents the solution to the system of equations.If the slopes are equal, the lines are parallel, and there is no solution to the system of equations.If the slopes are different, you can find the intersection point by solving the system of equations using either substitution, elimination, or another suitable method.For such more question on equations
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3.4m + 7 - 2.3m - 2.5
Answer: the answer is 5.6 (Plz mark brainliest if correct)
Step-by-step explanation:
Answer:
1.1m + 4.5
Step-by-step explanation:
3.4m + 7 - 2.3m - 2.5
1.1m + 4.5
The number N of employees at a company can be approximated by the equation N (x) = 24,787(1.002)x, where x is the number of years since 1990.
A) Approximately how many employees were there in 2003?
B) Find N′ (13).
Answer:
(a)25439 Employees
(b)51 employees per year
Step-by-step explanation:
Given that the number N of employees at a company can be approximated by the equation:
\(N (x) = 24,787(1.002)^x\), (where x is the number of years since 1990).
Part A
We want to determine how many employees were there in 2003.
When x=13
\(N (13) = 24,787(1.002)^{13}\\\approx 25439$ employees\)
Part B
If \(N (x) = 24,787(1.002)^x\)
\(N'(x)=24787(1.002)^x\ln 1.002\\$Therefore:\\N'(13)=24787(1.002)^{13} \times \ln 1.002\\N'(13)=50.83\)
In 2003, the number of employees was changing at a rate of approximately 51 employees per year.