Answer:
Hence the solution to the differential equation is Step-by-step explanation:
The table gives the values of a function obtained from an experiment. Use the table to estimate 9 3 f(x) dx using three equal subintervals and a right riemann sum, left riemann sum, and a midpoint sum.
Using three equal subintervals and a right riemann sum, left riemann sum, and a midpoint sum is -6.4, 3.8, -1.0.
1) Integral with left end points:
A-left = -3.4*2 + (-0.6)*2 + 0.8*2 = -6.4
2) Integral with right end points:
A-right = -0.6*2 + 0.8*2 + 1.7*2 = 3.8
3) Integral with midpoints:
A-mid = -2.2*2 + 0.2*2 + 1.5*2 = -1.0
A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.
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The largest
volcanic eruption in the last 10000 years was at Thera in 1520 BC. It brought about the
end of the Minoan civilisation in Greece.
The volume erupted by Thera equals that of a 400000 km column that reaches from the
Earth to the Moon. If this column has a square cross-section, find its width.
If this column has a square cross-section, the width of the square cross-section is 1 km.
How did we find the width?Let's call the width of the square cross-section "w".
The volume of the column can be calculated as the area of the cross-section multiplied by its height.
w * w * 400,000 km = 400,000 km^3
Solving for w:
w^2 * 400,000 km = 400,000 km^3
w^2 = 400,000 km^3 / 400,000 km = 1 km^2
w = √(1 km^2) = 1 km
So, the width of the square cross-section is 1 km.
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estimate the median for the 400 observations shown in the histogram, and note whether you expect the mean to be higher or lower than the median. compared to the median, what would you expect the mean of this distribution to be?
The mean of the distribution would be lower than the median of 82.5.
The median for the 400 observations shown in the histogram can be estimated as follows:
Since there are 400 observations, the median will be the 200th observation. The histogram shows that there are 55 observations between 90 and 100 and 155 observations between 80 and 90. Approximately 210 observations are between 80 and 100, and 140 observations are between 85 and 100.
Therefore, the 200th observation is likely to be between 80 and 85. The median can be calculated as the average of 80 and 85, which is (80 + 85) / 2 = 82.5.
The histogram shows that the distribution is skewed to the left, so the mean is expected to be lower than the median. The mean of the distribution would be lower than the median of 82.5.
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The mean of the distribution would be lower than the median of 82.5.
The median for the 400 observations shown in the histogram can be estimated as follows:
Since there are 400 observations, the median will be the 200th observation. The histogram shows that there are 55 observations between 90 and 100 and 155 observations between 80 and 90. Approximately 210 observations are between 80 and 100, and 140 observations are between 85 and 100.
Therefore, the 200th observation is likely to be between 80 and 85. The median can be calculated as the average of 80 and 85, which is (80 + 85) / 2 = 82.5.
The histogram shows that the distribution is skewed to the left, so the mean is expected to be lower than the median. The mean of the distribution would be lower than the median of 82.5.
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What is Simpson's Rule?
The integral of a function between two limits, a and b, can be approximated numerically using Simpson's Rule. It is based on understanding the region beneath a parabola or other flat curve. h = (b - a) / N and N is an even integer in this rule.
What is Simpson's Rule?A numerical technique known as Simpson's Rule uses quadratic functions to estimate the value of a definite integral. The English mathematician Thomas Simpson (1710–1761) is honored by having his method called in his honor.Thomas Simpson (1710–1761), the author of the 1743 publication of the Simpson's rule for estimating definite integrals, received its name. Simpson was not, however, the first to find the rule; James Gregory (1638-1675) published it in 1668, and Bonaventura Cavalieri (1598-1647) discovered a variation of it as early as 1639 [3, p.When creating a new marine vessel, addressing stability and buoyancy issues. The computation of a vessel's displacement, total wetted surface area, and longitudinal center of buoyancy of the hull are a few applications of this discipline's use of Simpson's rule.Simpson's Rule equation is,
[tex]$\int_a^b f(x) x^{\prime} \approx \frac{\Delta x}{3}\left(f\left(x_0\right)\right. \\[/tex]
[tex]$+4 f\left(x_1\right)+2 f\left(x_2\right)+\cdots \\[/tex]
[tex]$\left.+4 f\left(x_{n-1}\right)+f\left(x_n\right)\right) \\[/tex]
[tex]$\quad \text { where } \Delta x=\frac{b-a}{n} \\[/tex]
[tex]$\quad \text { and } x_i=a+i \Delta x[/tex]
n = it is an even subdivisions of the function.
a = point at the function graph's beginning
b = point at the function graph's tip
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Is there any function that is both even *and* odd?
The only function whose range includes all real values and is both odd and even is the constant function f (x) = 0, which is precisely zero.
What is the only function which is both even and odd?The constant function that is precisely zero, f (x) = 0, is the only function whose range encompasses all real values and is both odd and even. When two functions are added together, they are either even or odd.
F(x) = 0, which is defined for all real numbers, is the unique function that is both even and odd. This is merely a line that is located on the x-axis. A function that is even is the result of two even functions. An even function is the result of two odd functions. An odd function is created when an even function and an odd function are combined.
Neither an even nor an odd function is a function f(x) in which f(x) ≠ f(−x) and −f(x) ≠ f(−x) for any value of x. These functions aren't symmetrical either about the origin or the y-axis on a graph.
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HELP ASAP
find 1/9 of 15. (simplest form)
What is an advantage of using a stem-and-leaf instead of a histogram?
Answer: Stem and leaf plots have one advantage over histograms-- they display the original data, while histograms merely summarize them.
Step-by-step explanation:
Stem-and-leaf plots contain original data values while histograms do not.
What is Stem-and-leaf plotting?In order to categorise discrete or continuous variables, a stem and leaf plot, also known as a stem plot, is used. Data collection and organisation are done using a stem and leaf plot.
A bar graph is a good analogy for a stem and leaf plot. Because every number in the data is divided into a stem and a leaf, the name stem and leaf was chosen. The number's entirety - all but the final digit—is contained in the stem. There will always be one digit in the number's leaf. A stem and leaf plot's main benefit is the grouping of the data and the display of all the original data.
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someone help fr pls
How many solutions does the system of equations below have? y = -5x - 3/10
y = 3/4x - 10/7
Answer:
it has 1 solution
Step-by-step explanation:
Cual es el resultado de la división?
Answer:
Step-by-step explanation:
0.52
(HELP MX+ B)alyssa just accepted a job at a new company… HELP
Answer:
Salary after 9 years: $86,000
Salary after t years: ($2,000×t)+$68,000
Picking a multiple of 5 from the integers between 1 and 20
Answer:
if all you want is a multiple of 5 then here are a few; 5, 10, 15, and 20
Step-by-step explanation:
a multiple of 5 is any number that 5 can go into without having a remainder. it's the same for all numbers.
Two, four,ix ided die are rolled once. Determine the um of two dice le than 5. Contruct a probability ditribution and olve for the mean,variance & tandard deviation
36 observations are produced by multiplying $6 by 6 when two fair dice are rolled.
What is meant by probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability. The likelihood that something will happen is known as probability. The number of possible outcomes is divided by the total number of possible outcomes to determine probability.When two fair dice are rolled, $6 multiplied by 6 results in 36 observations.
[tex]& P(X=2)=P(1,1)=\frac{1}{36} \\[/tex]
[tex]& P(X=3)=P(1,2)+P(2,1)=\frac{2}{36}=\frac{1}{18} \\[/tex]
[tex]& P(X=4)=P(1,3)+P(2,2)+P(3,1)=\frac{3}{36}=\frac{1}{12} \\[/tex]
[tex]& P(X=5)=P(1,4)+P(2,3)+P(3,2)+P(4,1)=\frac{4}{36}=\frac{1}{9} \\[/tex]
[tex]& P(X=6)=P(1,5)+P(2,4)+P(3,3)+P(4,2)+P(5,1)=\frac{5}{36} \\[/tex]
[tex]& P(X=7)=P(1,6)+P(2,5)+P(3,4)+P(4,3)+P(5,2)+P(6,1)=\frac{6}{36}=\frac{1}{6} \\[/tex]
[tex]& P(X=9)=P(3,6)+P(4,5)+P(5,4)+P(6,3)=\frac{4}{36}=\frac{1}{9}[/tex]
[tex]& P(X=10)=P(4,6)+P(5,5)+P(6,4)=\frac{3}{36}=\frac{1}{12} \\[/tex]
[tex]& P(X=11)=P(5,6)+P(6,5)=\frac{2}{36}=\frac{1}{18} \\[/tex]
[tex]& P(X=12)=P(6,6)=\frac{1}{36}[/tex]
Therefore, the required probability distribution is as follows.
Then, E(X) = [tex]\sum \mathrm{X}_{\mathrm{i}} \cdot[/tex] [tex]\mathrm{P}\left(\mathrm{X}_{\mathrm{i}}\right)$[/tex]
[tex]& =2 \times \frac{1}{36}+3 \times \frac{1}{18}+4 \times \frac{1}{12}+5 \times \frac{1}{9}+6 \times \frac{5}{36}+7 \times \frac{1}{6}+8 \times \frac{5}{36}+9 \times \frac{1}{9}+10 \times \frac{1}{12}+ \\[/tex]
[tex]& 11 \times \frac{1}{18}+12 \times \frac{1}{36} \\[/tex]
[tex]& =\frac{1}{18}+\frac{1}{6}+\frac{1}{3}+\frac{5}{9}+\frac{5}{6}+\frac{7}{6}+\frac{10}{9}+1+\frac{5}{6}+\frac{11}{18}+\frac{1}{3} \\[/tex]
=7
[tex]& \mathrm{E}\left(\mathrm{X}^2\right)=\sum \mathrm{X}_{\mathrm{i}}^2 \cdot \mathrm{P}\left(\mathrm{X}_{\mathrm{i}}\right) \\[/tex]
[tex]& =4 \times \frac{1}{36}+9 \times \frac{1}{18}+16 \times \frac{1}{12}+25 \times \frac{1}{9}+36 \times \frac{5}{36}+49 \times \frac{1}{6}+64 \times \frac{5}{36}+81 \times \frac{1}{9}+ \\[/tex]
[tex]& 100 \times \frac{1}{12}+121 \times \frac{1}{18}+144 \times \frac{1}{36} \\[/tex]
[tex]& =\frac{1}{9}+\frac{1}{2}+\frac{4}{3}+\frac{25}{9}+5+\frac{49}{6}+\frac{80}{9}+9+\frac{25}{3}+\frac{121}{18}+4 \\[/tex]
[tex]& =\frac{987}{18}=\frac{329}{6}=54.833 \\[/tex]
[tex]& \text { Then, } \mathrm{V} \text { ar }[/tex][tex](\mathrm{X})=\mathrm{E}\left(\mathrm{X}^2\right)-[\mathrm{E}(\mathrm{X})]^2 \\[/tex]
[tex]& =54.833-(7)^2 \\[/tex]
= 54.833 - 49
=5.833
[tex]& \therefore \text { Standard deviation }=\sqrt{\mathrm{V} \text { ar }(\mathrm{X})} \\[/tex]
[tex]& =\sqrt{5.833} \\[/tex]
= 2.415
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What is 188 cm in feet?
The measure of 6.16798 feet are equal to 188 cm.
What does 188 cm in feet mean?
a dimension in US measurements that is 12 inches long (or wide). The definition of a foot in the Metric System is 0.3048 metres (the foot is defined that way).
The word "foot," which refers to the sole unit of measurement, is pluralized as "foot." In this sense, how far or how long you are measuring determines the mathematical difference between a foot and a foot.
The measurements in feet and feet are often used. They enable us to estimate the size of a person or a group. They can also help us calculate the separation between two spots. The word "foot," which refers to the sole unit of measurement, is pluralized as "foot."
=188 cm = 6.16798.
=188 cm = 6.17
Divide the length value by 30.48
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How to know if a matrix is in echelon form or reduced echelon form?
If the matrix is said to be in reduced echelon form then it should satisfy the following conditions:
1. The pivot in any non-zero row is the only non-zero entry in its column.
2. The pivot in any non-zero row is positive.
What is an echelon form?
A matrix in reduced echelon form is also sometimes referred to as a row-reduced echelon form or simply a reduced row echelon form (RREF). To check if a matrix is in RREF, you need to verify if the matrix satisfies both the conditions for echelon form and the additional conditions for RREF.
1. A matrix is said to be in echelon form if it satisfies the following conditions:
2. All zero rows (if any) are at the bottom of the matrix.
3. The leading entry (the first non-zero entry) of each non-zero row occurs to the right of the leading entry of the previous row.
4. The leading entry in any non-zero row is 1, called a pivot.
A matrix is said to be in reduced echelon form if it is in echelon form and additionally satisfies the following conditions:
1. The pivot in any non-zero row is the only non-zero entry in its column.
2. The pivot in any non-zero row is positive.
Hence, if the matrix is said to be in reduced echelon form then it should satisfy the following conditions:
1. The pivot in any non-zero row is the only non-zero entry in its column.
2. The pivot in any non-zero row is positive.
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Does someone mind helping me with this problem? Thank you!
Answer: 17.63698
Step-by-step explanation:
8 kilogram is equal to 17.63698096 pounds. If You want convert kilograms to pounds, multiply the kilogram value by 2.2046226218.
Answer:
8 kg is equal to 17.6 lbs.
Step-by-step explanation:
Since 2.2 lbs is equal to 1 kg, you would have to multiply 2.2 by 8.
2.2 x 8 = 17.6
Because 2.2 multiplied by 8 is 17.6 that means 8 kg is the same as 17.6 lbs.
100 POINTS He also has an oak board that is 5. 5 inches wide, 1. 5 inches thick and 3 feet long. The board weighs approximately 8. 05 pounds.
What is the density of the oak board? Show your work
The board weighs approximately 8.05 pounds. Hence, its density is 46.80 lb/ ft³
The density of something is a measure of how heavy it is in relation to its size. When a thing is more dense than water, it sinks; when an object is less dense than water, it floats. Density is a feature of a substance that is independent of the amount of substance.
The formula for density is given by:
ρ = m/V
Where:
ρ = density
m = mass
V = volume
In this case, the dimension of the oak board is:
wide = 5.5 inches = 0.458 feet
thick = 1.5 inches = 0.125 feet
length = 3 feet
Hence, the volume of the board is:
V = 0.458 x 0.125 x 3 = 0.172 ft³
The weight is 8.05 pounds, therefore, the density:
ρ = 8.05/0.172 lb/ ft³
ρ = 46.80 lb/ ft³
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In which of the rectangles are the area and the perimeter the same number of units or square units?
Answer: 4 yards x 4 yards
Step-by-step explanation:
All squares have the same perimeter and area
in a state lottery, a player must choose 8 of the numbers from 1 to 40. the lottery commission then performs an experiment that selects 8 of these 40 numbers. assuming the choice of the lottery commission is equally likely to be any of the
The required probabilities are:-
a) P(8 of the players numbers are drawn) = 1.3×10⁻⁸
b) P(7 of the players number are drawn) = 3.33×10⁻⁶
c) P(at least 6 of the players number were drawn) = 1.84×10⁻⁴
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, In a state lottery, a player must choose 8 of the numbers from 1 to 40. The lottery commission then performs an experiment that selects 8 of these 40 numbers.
Players has 8 combinations of numbers from 1-40. The outcome S contains all the combinations of 8 out of 40
a) P(8 of the players numbers are drawn) = 1/40/8 = 1.3×10⁻⁸
b) Number of ways of drawing 78 selected numbers from 1-40 = 8×(40-7)8×32
P(7 of the players number are drawn) = 8×32/40 =3.33×10⁻⁶
c) P(at least 6 players numbers are drawn)= 32/2×(8/6) ways to draw.
P(at least 6 players numbers are drawn) = P(all 8 chosen are drawn) + P(7 players numbers drawn) + P(6 chosen are drawn) = 1+8 x32/40/8 +[8\6 ×32/2]
P(at least 6 players numbers are drawn) = 1.84×10⁻⁴
Hence, the required probabilities are:-
a) P(8 of the players numbers are drawn) = 1.3×10⁻⁸
b) P(7 of the players number are drawn) = 3.33×10⁻⁶
c) P(at least 6 of the players number were drawn) = 1.84×10⁻⁴
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Find the measure of each arc in circle C.
The measure of the arc PN, arc QN, arc RP, arc RM, arc RZ, and arc RPN will be 65°, 128°, 125°, 120°, 55°, and 215°, respectively.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
The measure of the arc MZ is given as,
arc MZ + arc MN = 90
arc MZ + 25 = 90°
arc MZ = 65°
The measure of the arc QN is given as,
arc QN = 38° + 90°
arc QN = 128°
The measure of the arc RP is given as,
arc PR = 87° + 38°
arc PR = 125°
The measure of the arc RZ is given as,
arc RZ + 87° + 38° + 90° + 25° + 65° = 360°
arc PR = 55°
The measure of the arc RM is given as,
arc RM = 55° + 65°
arc RM = 120°
The measure of the arc RPN is given as,
arc RPN = 87° + 38° + 90°
arc RPN = 215°
The measure of the arc PN, arc QN, arc RP, arc RM, arc RZ, and arc RPN will be 65°, 128°, 125°, 120°, 55°, and 215°, respectively.
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X = [2 4 6 8 10 12 14 16] Part 1: Approximately what percentage of the data lie between 4 and 8 hours?- This cannot be determined from the boxplot- about 50% - about 75% - about 33% - about 25%
The percentage of the data X = [2 4 6 8 10 12 14 16] lie between 4 and 8 hours about 50%.
A boxplot is a graphical representation of the data in a set, and it can be used to quickly identify patterns in a data set. In this example, we have a set of numbers X = [2, 4, 6, 8, 10, 12, 14, 16]. A boxplot of this data set would show a box that contains the middle 50% of the data and the whiskers that extend out to the maximum and minimum values.
From the boxplot, we cannot determine what percentage of the data lie between 4 and 8 hours. However, we can estimate that approximately 25% of the data lie between 4 and 8 hours, as this is a quarter of the middle 50% of the data.
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Rectangle abcd was dilated to create rectangle a'b'c'd. What is ab? 6 units 7. 6 units 9. 5 units 12 units.
the length of side a'b' will be greater than the length of side ab. The length of side a'b' is 12 units.
Rectangle abcd is a 4-sided shape with sides of length a, b, c, and d. When a rectangle is dilated, it is enlarged or scaled up. The length of the sides of the new rectangle, a', b', c', and d', will be greater than the original sides of the rectangle abcd. Therefore, the length of side a'b' will be greater than the length of side ab. The length of side a'b' is 12 units.
The length of side ab of the new rectangle (a'b'c'd) is 12 units, since it was dilated from 4 units and 6 units (abcd).
The complete question is :
Rectangle abcd has side lengths of 4 units and 6 units. It was dilated to create rectangle a'b'c'd. What is the length of side ab of the new rectangle?
6 units
7. 6 units
9. 5 units
12 units.
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A, b, c, and d-length sides make up the four-sided rectangle abcd. A rectangle is expanded or scaled up when it is dilated. The new rectangle's sides, a', b', c', and d', will all be longer than the rectangle's initial sides, abcd. As a result, side a'b' will have a length that is longer than side ab. Side a'b' measures 12 units in length.
6 units
7. 6 units
9. 5 units
12 units.
Which of these functions (or none of them):(1) z = ey (y cos x - x sin y) or 2=(2) z = e (y cos x - x sin x)satisfies the equationმ²z/მ2+მ²z/მy²=0
As per the definition of Laplace equation, none of the functions satisfy the Laplace equation.
The equation ∇²z/∇x² + ∇²z/∇y² = 0 is known as the Laplace equation, which describes the behavior of a scalar field that is in a state of equilibrium, meaning it is not changing over time.
When examining the two functions, z = ey (y cos x - x sin y) and z = e (y cos x - x sin x), it is important to determine if they satisfy the Laplace equation.
For the first function, z = ey (y cos x - x sin y), the partial derivatives can be calculated as follows:
∇²z/∇x² = e^y (cos x + x cos y - y sin x)
∇²z/∇y² = e^y (x sin x - sin y - y cos y)
By adding these two partial derivatives together, we can see that the first function does not satisfy the Laplace equation, as the result is not equal to zero.
For the second function, z = e (y cos x - x sin x), the partial derivatives can be calculated as follows:
∇²z/∇x² = -e (cos x + x cos x - y sin x)
∇²z/∇y² = -e (x sin x - sin y - y cos x)
Once again, by adding these two partial derivatives together, we can see that the second function also does not satisfy the Laplace equation, as the result is not equal to zero.
Therefore, none of the given functions satisfy the Laplace equation.
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boxplot a and boxplot b are drawn on the same axes. the box part of boxplot a is shorter in length than the box part of boxplot b. what can you tell about the two data sets?
A boxplot consists of several components including a box that shows the interquartile range (IQR) of the data, a line in the box representing the median, and "whiskers" that extend out from the box to show the range of the data.
If the box part of boxplot A is shorter in length than the box part of boxplot B, it suggests that the data in the first dataset (A) has a smaller interquartile range (IQR) compared to the data in the second dataset (B).
This means that the middle 50% of the data in dataset A is more tightly clustered together compared to the middle 50% of the data in dataset B. This can be due to the presence of outliers in the second dataset.
Boxplot A vs B ComparisonBoxplots are commonly used in statistical analysis and data visualization, but it is not used on a daily basis in every field. They are particularly useful in fields such as finance, biology, and engineering where large amounts of data need to be analyzed and visualized to draw insights and make decisions.
In these fields, they may be used daily or several times a week, depending on the specific use case and the data that needs to be analyzed. However, in other fields such as the arts, humanities, or some service industries, boxplots may not be used as frequently.
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Question 1 of 10
Numerical data are information about people, places, and things that can
measured with
Answer here
SUB
Numerical data are information about people, places, and things that can measured with numbers.
What are numbers?
A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.
The system of numbers -
Is a helpful collection of numbers.
It reflects the number's algebraic and mathematical structure.
It offers a common depiction.
People utilise numbers, such as 1, 2, 3, 4, etc., to count various things or objects. Since thousands of years ago, people have used numerals to count objects.
Numbers are used to measure numerical data that are information about people, places, and things.
Therefore, the measurement is done by numbers.
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Evaluating and dividing polynomials (4 problems) do all and show work please.
Therefore , the solution of the given problem of polynomial comes out to be quotient comes out to be (p³ + 2p² + 6p -10) .
Describe polynomials.A polynomial is a mathematical statement with coefficients or uncertainty that uses only additions, erasures, multiplications, and powers of positive integer variables. There is just one indeterminate x polynomial identified by the formula x2 4x + 7. The term "polynomial" refers to a phrase in mathematics that consists of variables (sometimes referred to as "indeterminates") and coefficients that can be added, deducted, multiplied, then raised to negative number powers of non-variables.
Here,
Given :
=> (p⁴ -7p³ - 12p² - 64p + 90 ) / (p-9)
=> (p-9) * (p³ + 2p² + 6p -10) / (p-9)
=> (p³ + 2p² + 6p -10)
Thus , quotient comes out to be (p³ + 2p² + 6p -10) .
Therefore , the solution of the given problem of polynomial comes out to be quotient comes out to be (p³ + 2p² + 6p -10) .
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find a basis for and the dimension of the solution space of the homogeneous system of linear equations. x 4y − 3z = 0 −2x − 8y 6z = 0
The basis for the solution space is then {[1, -4, 6]}.
To find a basis for the solution space of a homogeneous system of linear equations, we can perform row operations on the augmented matrix to obtain the reduced row echelon form.
The augmented matrix for the system of linear equations is:
| 1 4 -3 | 0 |
| -2 -8 6 | 0 |
Performing row operations, we get:
| 1 4 -3 | 0 |
| 0 0 24 | 0 |
From the reduced row echelon form, we can see that the non-trivial solution is x = t, y = -4t, z = 6t for any scalar t. This means that the solution space is spanned by the single non-trivial vector [1, -4, 6].
The dimension of the solution space is 1, meaning that it is a one-dimensional subspace of the three-dimensional space of all possible solutions. The basis for the solution space is then {[1, -4, 6]}.
Therefore, The basis for the solution space is then {[1, -4, 6]}.
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if the original price is $42 and the discount is 15%off what is the sales price?
Answer: the sales price is $35.70
Step-by-step explanation:
42(0.15) to get the answer of how much the price is being reduced by. when you solve that you get 6.3.
42-6.3= 35.70
x and y are plotted on the number line below order the experesions from least to greatest use the number line if it helps your thinking
The change in demand is $15 per barrel.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that the price of oil increases from 20 to 5 per barrel.
A change in quantity demanded refers to a change in the specific quantity of a product that buyers are willing and able to buy. This change in quantity demanded is caused by a change in the price.So we can write the change in demand as -
$20 per barrel - $5 per barrel
$15 per barrel
Therefore, the change in demand is $15 per barrel.
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There are 2 groups with 10 carrots in each group how many carrots are there in all enter the answer in the box.
Answer:
Step-by-step explanation:20 10x2=20
Answer: 20
Step-by-step explanation: 2 times 10 = 20
Bryan and Jeremy have 3,070 grams of cereal. How
many kilograms of cereal is this?
A 3.07 kg
B 30.7 kg
C 307,000 kg
D 3,070,000 kg
Help pls
Answer:
Step-by-step explanation:
Maybe just add or multiply the number by something to get the answer