Answer:
Step-by-step explanation:
3d one
Answer:
3d one
Step-by-step explanation:
hope it helps ...
You are tasked with analyzing a design that has been drawn for a bridge over an existing two-lane road. The arch over the road is in the shape of a half-ellipse that is 40 feet wide at the base of the arch and it is 15 feet tall at the center of the arch. The bridge must have a 13-foot clearance for vehicles on the road. The 22-foot-wide road is centered directly beneath the highest point of the arch. a) the semi-truck will NOT be able to pass under the bridge,so it is time to make an adjustment. You will need to modify the design of the bridge. Keep the arch shape as half an ellipse, and the base as 40 feet wide. You may adjust the bridge’s arch up to 18 feet above the center line of the two-lane road below, but no more than that because of restrictions concerning the road crossing over the bridge. Give a new equation for the ellipse that represents your modified design.
We are asked to determine the equation of an ellipse that has a base of 40 feet and a height of 18 feet. This can be visualized in the following diagram:
The general form of the equation of an ellipse is:
\(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)We have set the origin of the coordinate system to be in the middle of the ellipse. The value of "a" is the x-intercept of the ellipse and the value of "b" is the y-intercept of the ellipse. Therefore, the equation is:
\(\frac{x^2}{(20)^2}+\frac{y^2}{(9)^2}=1\)Now, we solve the squares:
\(\frac{x^2}{400}+\frac{y^2}{81}=1\)And thus we have determined the equation of the ellipse.
Can anyone help me understand this please? I am mainly just confused about how to graph the first equation the second I can do
A graph of the given system of equations f(x) = 2x² - 8x + 3 and g(x) = -2x + 3 is shown in the image attached below.
The points that make both equations true is (0, 3)
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.
What is a quadratic function?In Mathematics, the graph of every quadratic equations (functions) is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic equation (function) would always form a parabolic curve.
Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each, which is the ordered pair (0, 3);
f(x) = 2x² - 8x + 3
3 = 2(0)² - 8(0) + 3
3 = 3 (True).
g(x) = -2x + 3
3 = -2(0) + 3
3 = 3 (True).
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What is the area of the following trapezoid 210 280 420 140
Answer:
Step-by-step explanation:
A= a+b/2 h (area = a +b over 2 times H) plug in your numbers
I dont have a picture, if i did i could solve it, but here is the formula
What is the equation of the line perpendicular to y = 1/4x – 5 through the point (4,3)?
y-yi=m(x-xi)
y-3=1/4(x-4)
y-3=x-4/4
4y-12=x-4
4y+x-12+4=0
4y+x-8=0
so the equation of
the line perpendicular
to
y=1/4-5 through
the point(4,3)
is4y-x-8=0
What is the value of A? negative 3 x negative 3 x squared negative 5 x negative 5 x squared.
Answer:
√8
Step-by-step explanation:
Answer:
-3x is the answer
Step-by-step explanation:
Who know these questions answers is
Answer:
4) The square root of 25 is rational
5) pi is irrational
Step-by-step explanation:
To know if the answer is rational or irrational, check to see if they can be turned into a fraction.
Answer:
4) \(\sqrt{25}\)
5) \(\pi\)
Step-by-step explanation:
4) \(\pi\) is irrational.
\(\sqrt{2}\) and \(\sqrt{3}\) are also irrational.
\(\sqrt{25}\) = 5. 5 is a whole number and thus is rational.
5) 16.5% = \(\frac{16.5}{100}\)
0.0675 is a terminating decimal so it is rational.
8\(\frac{3}{4}\) = 8.75 is also a terminating decimal so it is rational.
y=250,000(1.15)^x
Is this exponential growth or decay?
Answer:
Exponential growth, as the sign of the basis (the number 1.15) is positive.
Step-by-step explanation:
The equation Y = 250,000(1.15)ˣ represents exponential growth.
In this equation, the base of the exponential term is 1.15, which is greater than 1. When the exponent x increases, the value of the term (1.15)ˣ also increases, leading to exponential growth.
Exponential growth occurs when a quantity increases at an accelerating rate over time. In this case, as x increases, the value of Y grows exponentially, indicating growth rather than decay.
Therefore, the equation Y = 250,000(1.15)ˣ represents exponential growth.
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simplify a^3 x b x a^3 x b
Answer:
\( {a}^{6} {b}^{2} \)
solution
\( {a}^{3} \times b \times {a}^{3} \times b \\ = {a}^{3 + 3} \times {b}^{1 + 1} \\ = {a}^{6} {b}^{2} \)
hope this helps...
Good luck on your assignment..
Answer:
\(a^{6}b^{2}\)
Step-by-step explanation:
\(a^3 \times b \times a^3 \times b\)
If there are no exponents written, then the exponent is 1.
\(a^3 \times b^1 \times a^3 \times b^1\)
When multiplying two powers that have the same base, you can add the exponents.
\(a^{3+3} \times b^{1+1}\)
\(a^{6} \times b^{2}\)
James takes out a loan of 9000 euros which keeps on charging simple interest at a rate of 3% of the original amount per annum until it is cleared. James pays of 770 euros each year to reduce the loan. After how many years will James have fully cleared the loan?
James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.
To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.
The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.
In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.
In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.
This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.
Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.
Combining like terms, we have 9000 + 270 = 1.04x.
Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.
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the vector sum of two or more other vectors is called the
Answer: resultant
Step-by-step explanation:
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answer:
The values of x that satisfy the equation are x = 13 and x = 1. The values x = -29 and x = 42 do not satisfy the equation.
Help me please I don’t know this stuff
A regular, i.e., six-faced and balanced, die will be rolled twice. Let the random variable X be equal to the result of subtracting the number obtained on the second roll from the number obtained on the first roll. Find the variance of X.
Variance of the die which rolled twice is 5.83
According to the statement
we have given that the six-faced and balanced, die will be rolled twice.And we have to find the variance of the X.
For this purpose, we know that the
The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean.
And the formula of variance is
\(Var(X) = \sum_{i=1}^6(X_i-\bar{X})^2\over{6}\)
By this we calculate the variance.
Firstly variance for the one die:
Mean of the die = 1+2+3+4+5+6 /6
Mean of the die = 21 /6
Mean of the die = 3.5
And then variance become
\(= {(1-3.5)^2+(2-3.5)^2+(3-3.5)^2+(4-3.5)^2+(5-3.5)^2+(6-3.5)^2}\over{6}\)
\(= (\frac{17.5}{6} )^{2} \\\)
= 105/36
= 2.91.
So, variance of one die is 2.91 then variance for 2 die is 2.91 *2 = 5.83.
Hence, Variance of the die which rolled twice is 5.83.
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14 points 2. Find an equation for the sinusoidal graph that is shown below. The scale on the x-axis is π/10 and the y-axis is 1 . Amplitude: Period: Phase Shift: Equation:
The sinusoidal graph shown has an amplitude of 1, a period of 4π/5, and no phase shift. The equation for the sinusoidal graph can be written as y = sin((2π/4π/5)x).
The amplitude of a sinusoidal graph represents the maximum value the graph reaches from the centerline. In this case, the amplitude is given as 1, indicating that the graph oscillates between -1 and 1.
The period of the sinusoidal graph is the distance it takes for the graph to complete one full cycle. Here, the scale on the x-axis is π/10, and the graph completes one cycle within 2 units on the x-axis. Therefore, the period is 2 * π/10 = π/5. However, the standard form of a sinusoidal equation uses a period of 2π, so we need to adjust it. The adjusted period is 4π/5.
The phase shift determines how the graph is shifted horizontally. In this case, there is no phase shift mentioned, which means the graph is not horizontally shifted.
Combining these values, we can write the equation for the sinusoidal graph as y = sin((2π/(4π/5))x), which simplifies to y = \(sin((\frac{5}{4}x))\).
Therefore, the equation for the given sinusoidal graph is y = \(sin((\frac{5}{4}x))\), with an amplitude of 1, a period of 4π/5, and no phase shift.
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whtaj is the value of x divde by 3=12
Answer:
36
Step-by-step explanation:
12 x 3 = 36 (inverse operation)
Answer:
36
Step-by-step explanation:
PLzz use my code on WiSH you will save money and they have amazing stuff on wish.com
Code: chhnwqpt
Answer:
Ok, ty i guess?
Step-by-step explanation:
Answer:
gg i will
Step-by-step explanation:
6. What is the center and the radius ( x + 1)^2 + (y - 5)^2 = 2^2
Center (-1,-5) radius= 2
Center (1,-5) radius= 2
Center (-1, 5) radius= 4
Center (-1, 5) radius= 2
Answer:
The equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where h, k, is the center and r is the radius.
So, in this case: the center is (-1, 5) and the radius is 2.
Let me know if this helps!
A triangle has two sides of length 2 and 10. What is the smallest possible whole-number length for the third side?
Answer:
11
Step-by-step explanation:
the answer is 11 because of therom
The sum of two numbers is 106. The bigger number is 22 more than the smaller number. Then what is half of the smaller number?
(1 Point)
a) 84
b) 21
c) 42
d) 32
7Rakesh's mother's age is three times the present age of Rakesh. After 5 years their ages when added together, will become 66 years. The equation that represents the above is as follows;
(1 Point)
a) x + 3x = 66
b) x + 3x + 5 = 66
c) 4x + 15 = 66
d) 4x + 10 = 66
8Equation 1 is : 2 x - 3 = - 9 and Equation 2 is : x - 7 = 2. The first equation has solution (x = - 3), and the second equation has solution (x = 9) and both these answers are correct for the respective equations. Choose the correct statement from below.
(1 Point)
a) Since the first equation has a negative solution, the second equation only is a Linear equation, as it has a positive solution
b) Both equations have solutions which are rational numbers
c) The first equation is called a Negative Linear Equation as it has a negative solution
d) None of the statements a, b or c are True
9Please see the Figure A, and choose the correct
statement that matches the figure from the
options given below.
(1 Point)
a) The above figure is a Polygon with 5 sides
b) The above figure is a Concave Polygon
c) The above figure is not a Polygon
d) The above figure is a Regular Pentagon
10The sum of measures of the exterior angles of any polygon is …
(1 Point)
a) 180 degrees
b) 360 degrees
c) ( n – 2 ) x 180 degrees
d) ( n – 2 ) x 360 degrees
11In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral …
(1 Point)
a) Is a Square
b) Is a Rhombus
c) Could be a Square, or could be a Rhombus, we need to know more about the length of the diagonals
d) None of the above statements is correct
12A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen…..
(1 Point)
a) That the diagonals remain equal
b) That the diagonals continue to bisect the angles at the vertices equally
c) The lengths of the diagonals change
d) The diagonals are now bisecting each other in 4 equal parts
13Which statement is True for the following two Figures A and B, given below
(1 Point)
a) Figure A is a Rhombus and Figure B is a Kite
b) Figure A and B are both Rhombus
c) Figure A and B are both Kites
d) Figure A is a Kite and Figure B is a Rhombus
14Which statement out of the four options below, is True?
(1 Point)
a) All Rectangles are Squares
b) All Rhombuses are Parallelograms
c) All Squares are Concave Polygons
d) All Convex Polygons have diagonals outside them
15
(1 Point)
16If 4368 ÷ 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?
(1 Point)
a) 156
b) 15600
c) 15.6
d) 1.56
1712.00001 ÷ 0.600001 is closest to ……..
(1 Point)
a) 0.02
b) 2
c) 20
d) 200
18Complete:
(1 Point)
19The equation : 12 x + 16 = 20 is the same as ……
(1 Point)
a) 12 x + 8 = 12
b) 12 x = 20 + 16
c) 12 x – 16 = 20 – 16
d) 12 x – 20 = 16
2020. Find the value of a quarter of the angle QRT
which is ‘x’ if angle PRS is 2x as shown in the
figure below. Consider Triangle PRQ and Triangle
RST to be equilateral triangles of different sizes.
(1 Point)
21Which number will give us a quotient of - 4, if we divide - 24 by ……..
(1 Point)
a) 4
b) - 6
c) - 4
d) 6
22If 2 ( 3 – 2 x ) = 3 ( x – 5 ) then x = ……….
(1 Point)
a) – 3
b) 3
c) – 6
d) 6
23The teacher asked the class to divide a given number by 24
- Rohit divided the number by 24 and got the correct answer 20
- Mohit divided the number by 6 and got an answer which he again divided by 4 and
obtained the final answer
- Rakesh divided the number by 2.4 and then divided the answer again by 10
- Allen divided the number by 2.4 and then multiplied the answer obtained by 10
Now choose the best solution from the below options.
(1 Point)
a) Only Rohit got the correct answer
b) Both Rohit and Mohit got the correct answer
c) Rohit, Mohit and Rakesh all got the correct answer
d) Rohit, Mohit and Allen all got the correct answer
24Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour …...................
(1 Point)
a) Abhay has walked more than Binu, as he walked on the boundary of the bigger circle
b) Binu has walked more than Abhay, as he has walked more circles than Abhay
c) Both of them have covered the same distance
d) With the information given above, we cannot say who walked more
25Which sign will you put in between [ 120 ….. ( 3 / 11 ) ], so that the answer or result is the highest number
(1 Point)
a) +
b) –
c) x
d) ÷
Step-by-step explanation:
on the first one you would take 106 and subtract 22 from that since the bigger number is 22 more than the smaller number 106 - 22=84 then you would divide that by two because there are two numbers. which would be 42 as a smaller number so half of the smaller number would be 21. I think
To solve the above, the solutions are given below.
1. b) 21
7. b) x + 3x + 5 = 66
8. b) Both equations have solutions which are rational numbers
9. a) The above figure is a Polygon with 5 sides
10. b) 360 degrees
11. In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral …
a) Is a Square
12. A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen…..
b) That the diagonals continue to bisect the angles at the vertices equally
13. Which statement is True for the following two Figures A and B, given below
b) Figure A and B are both Rhombus
14Which statement out of the four options below, is True?
b) All Rhombuses are Parallelograms
16. If 4368 ÷ 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?
b) 15600
17. 12.00001 ÷ 0.600001 is closest to ……..
c) 20
19. The equation : 12 x + 16 = 20 is the same as ……
a) 12 x + 8 = 12
20. Find the value of a quarter of the angle QRT
which is ‘x’ if angle PRS is 2x as shown in the
figure below. Consider Triangle PRQ and Triangle
RST to be equilateral triangles of different sizes.
80°
21. Which number will give us a quotient of - 4, if we divide - 24 by ……..
d) 6
22. If 2 ( 3 – 2 x ) = 3 ( x – 5 ) then x = ……….
b) 3
23. The teacher asked the class to divide a given number by 24
- Rohit divided the number by 24 and got the correct answer 20
- Mohit divided the number by 6 and got an answer which he again divided by 4 and
obtained the final answer
- Rakesh divided the number by 2.4 and then divided the answer again by 10
- Allen divided the number by 2.4 and then multiplied the answer obtained by 10
Now choose the best solution from the below options.
a) Only Rohit got the correct answer
24. Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour …...................
c) Both of them have covered the same distance
25. Which sign will you put in between [ 120 ….. ( 3 / 11 ) ], so that the answer or result is the highest number
c) x
Therefore, the answers are as given above.
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The grade point averages (GPAs) of a large population of college students are approximately normally distributed with mean 2.3 and standard deviation 0.7. If students possessing a GPA less than 1.85 are dropped from college, what percentage of the students will be dropped
we need to first calculate the deviation of a GPA less than 1.85 from the mean GPA of 2.3, Deviation = 1.85 - 2.3 = -0.45 Next, we need to calculate the z-score for this deviation using the formula: z = (x - μ) / σ .
where x is the value we want to convert to a z-score, μ is the population mean, and σ is the population standard deviation. z = (-0.45 - 2.3) / 0.7 = -3.07, We can use a z-score table or calculator to find the percentage of the population that falls below this z-score.
According to the table, the percentage of the population with a z-score less than -3.07 is approximately 0.001. Therefore, the percentage of students who will be dropped from college is approximately 0.1% (or 0.001 x 100).
The Z-score formula is: Z = (X - μ) / σ.
Where X is the GPA value (1.85), μ is the mean (2.3), and σ is the standard deviation (0.7). Z = (1.85 - 2.3) / 0.7 = -0.64
Now, we'll use the standard normal distribution table to find the percentage of students corresponding to a Z-score of -0.64. The table gives us a value of 0.2611.Thus, approximately 26.11% of the students with a GPA less than 1.85 will be dropped from college.
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3) Why does the following equation have no solutions? (Explain your answer with words and simplifying the equation)
The equation is false (we can remove the dependence with the variable x) that is why the equation has no solutions.
Why the equation has no solutions?Here we have the following linear equation:
5 - 4x - 7 - 10x = -8x - 4 - 6x - 10
We want to see why we don't have any solutions, to check that, we need to simplify both sides of the equation. Let's start by grouping like terms:
5 - 4x - 7 - 10x = -8x - 4 - 6x - 10
(5 - 7) + (-4x - 10x) = (-4 - 10) + (-8x - 6x)
-2 - 14x = -14 - 14x
Notice that now we can add 14x in both sides of the equation, then we will get:
-2 -14x + 14x = -14 - 14x + 14x
-2 = -14
So we have a false equation, this happens because the equation does not truly depend of the value of x.
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T/F: statistically, using z-scores, a group mean can be compared to a population mean to ascertain whether or not the group mean is different from the population mean.
It is true that, Statistically, using z-scores, a group mean can be compared to a population mean to ascertain whether or not the group mean is different from the population mean.
What is Hypothesis testing:Hypothesis testing is a statistical method for making inferences about a population based on sample data.
It involves formulating a null hypothesis, which is a statement about the population that we want to test, and an alternative hypothesis, which is a statement that contradicts the null hypothesis.
Here we have a statement
Statistically, using z-scores, a group mean can be compared to a population mean to ascertain whether or not the group mean is different from the population mean.
The above statement is true
Z-scores are a measure of the distance between a sample mean and the population mean in standard deviation units.
By using z-scores, we can compare a group mean to a population mean and determine whether the difference is statistically significant.
To do this, we calculate the z-score using the formula:
z = (x - μ) / (σ / sqrt(n))
If the resulting z-score falls in the rejection region of the standard normal distribution, we can reject the null hypothesis that the sample mean is not significantly different from the population mean.
In summary, comparing a group mean to a population mean using z-scores is a common statistical technique to determine whether there is a significant difference between the two means.
Therefore,
It is true that, Statistically, using z-scores, a group mean can be compared to a population mean to ascertain whether or not the group mean is different from the population mean.
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Find the area of the figure.
square with sides of 5.8 ft
The area of the square is___________ ft2.
how do you write 4 x 4 x 4 x 5 x 5 in index notation
Answer:
4^3 x 5^2
Step-by-step explanation:
The table represents some points on the graph of an exponential
function.
x
-2
-1
0
1
2
f(x)
12.5 15 18 21.6 25.92 Which function represents the same relationship?
A f(x) = 15(5/6)x
B f(x) = 18(6/5)x
C f(x) = 15(6/5)x
D f(x) = 18(5/6)x
Answer:
B
Step-by-step explanation:
it between B and c not really sure though
find the slope between the points (0,-5) and (-2,3)
Answer: The slope between the points (0,-5) and (-2,3) is (-3 - (-5)) / (-2 - 0) = -8 / -2 = 4.
Step-by-step explanation:
Describe how to travel from Point A to Point B. ps it is due in 3 minutes
A coordinate plane with x axis from zero to ten and y axis from zero to ten. Axes intersect at zero. Point A is located two units right and nine units up from the origin, point C is located five units right and five units up from the origin, point B is located eight units right and eight units up from the origin, point D is located nine units right and three units up from the origin.
a
6 units right and 1 unit down
b
6 units left and 1 unit down
c
6 units right and 1 unit up
d
6 units left and 1 unit up
The proper way to move on coordinate surface from point A's location to point b is to move 6 units to the right and 1 unit to the up. The correct option is a.
What does the word "coordinate" mean in mathematics?
Coordinates are a pair of numbers (also known as Cartesian coordinates), or occasionally a letter and an integer, that identify a particular point on a grid,also known as a coordinate system. The \(x\) -axis (horizontal) and \(y\) -axis are the two vectors on a coordinate plane, which has four quadrants. (vertical).
On the coordinate surface, we can use the following methods to move from Point A to Point B:
Point A, which is two units to the right of the Centre and nine units up, is a good place to start.
Point C, which is situated at Move five floors to the toward the right and five units up to get there. (5, 5).
Move three units to your right and three units up from Point C to Point B, which is situate
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Which equation could represent a linear combination of the system?
The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the linear combination to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
2/3x + 5/2y = 15
4x + 15y = 12
Multiply the first equation by 6, to eliminate the fractions.
6 * (2/3x + 5/2y = 15)
This gives
4x + 15y = 90
Subtract the equation 4x + 15y = 90 from 4x + 15y = 12
4x - 4x + 15y - 15y = 12 - 90
Evaluate the difference
0 + 0 = -78
Evaluate the sum
0 = -78
The above equation is the same equation as option (b) 0 = 26
This is so because they both represent that the system of equations have no solution
Hence, the equation that could represent a linear combination of the system is 0 = 26
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Complete question
The system of equations below has no solution.
2/3x + 5/2y = 15
4x + 15y = 12
Which equation could represent a linear combination of the system?
find the component form for the vector v with the given magnitude and direction angle θ. = 99.9, θ = 68.6°
The component form of the vector v is < 99.9 cos(68.6°), 99.9 sin(68.6°) >
To find the component form of the vector v, we need to use the magnitude and direction angle provided.
The magnitude of the vector v is given as 99.9. This represents the length or size of the vector.
The direction angle, θ, is given as 68.6°. This angle represents the direction in which the vector is pointing.
In the component form of a vector, the first component represents the magnitude of the vector in the x-direction, and the second component represents the magnitude in the y-direction.
To find the x-component of the vector, we use the formula: magnitude * cos(angle). Substituting the given values, we have: 99.9 * cos(68.6°).
To find the y-component of the vector, we use the formula: magnitude * sin(angle). Substituting the given values, we have: 99.9 * sin(68.6°).
Therefore, the component form of the vector v is < 99.9 cos(68.6°), 99.9 sin(68.6°) >.
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the net incomes (in $millions) of a sample of steel fabricators are $86, $67, $86, and $85. what is the modal net income?
The modal net incomes (in $millions) of a sample of steel fabricators will be b. $86
The goal of measures of central tendency, also known as measures of location, is to identify the data set's most "representative value." The mode, mean, and median are the three values listed here.
A data set's mode is its most frequent value. The mode of a distribution of probabilities has the highest probability. As a result, the mode can be quickly determined for a small number of observations. Any number of modes, or none at all, may exist for a given set of values. So, the value that will be sampled with the highest probability is the mode.
Note that the full question is:
The net incomes (in $ millions) of a sample of steel fabricators are: $86, $67, $86, $67, $86 and $85. What is the modal net income?
a. $85
b. $86
c. $85.5
d. $67
e. None of the above.
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