Answer:
D
Step-by-step explanation:
I will mark you brainiest!!!
A passenger train left the station and traveled toward Las Vegas at an average speed of 55mph. A cattle train left at the same time and traveled in the opposite direction with an average speed of 65mph. Which equation best represents this situation when the trains are 960 mi apart?
A - 65x - 55(2) = 960
B - 65x - 55x = 960
C - 65x + 55(2) = 960
D - 65x + 55x = 960
E - 65(2) + 55x = 960
Answer:
The answer is b
Step-by-step explanation:
The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:
55x + 65x = 960
Simplifying the left-hand side of the equation, we get:
120x = 960
Dividing both sides by 120, we get:
x = 8
Therefore, the correct equation is:
B - 65x - 55x = 960
Let A be an n × n matrix. Write statements from the Invertible Matrix
Theorem that are each equivalent to the statement "A is invertible". Use
the following concepts, one in each statement:
(1). Nul A (2).|A| (3). basis (4). linearly independent (5). RREF
**TRUE OR FALSE**
1.) The set of columns of a 3 × 5 matrix is linearly dependent.
2.) A linear transformation T : Rn → Rm is completely determined by its effect on the columns of the n × n identity matrix.
3.) If each row of matrix A has a pivot, then the set of rows of matrix A is linearly dependent.
4.) Let T : Rn → Rm be a linear transformation, with A its standard matrix. T is one-to-one if and only if A has a pivot in each row.
5.) The set of columns of a 5 × 3 matrix is linearly dependent.
6.) If A is a 3 × 2 matrix, then the transformation x → Ax cannot be one-to-one.
According to the question 1.) False - 3 × 5 matrix columns can be linearly independent. 2.) True , 3.) True , 4.) True , 5.) True , 6.) True - 3 × 2 matrix transformation not one-to-one.
1.) True. If the set of columns of a 3 × 5 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.
2.) False. The effect of a linear transformation on the columns of the n × n identity matrix only determines the image of the standard basis vectors. It does not completely determine the entire transformation.
3.) False. If each row of matrix A has a pivot, it means that the rows of A are linearly independent, not linearly dependent.
4.) True. If A has a pivot in each row, it means that the rows of A are linearly independent, and the linear transformation T : Rn → Rm represented by A is one-to-one.
5.) True. Similar to statement 1, if the set of columns of a 5 × 3 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.
6.) True. If A is a 3 × 2 matrix, it means that the transformation x → Ax maps from R2 to R3. Since the dimensions of the domain and codomain are different, the transformation cannot be one-to-one.
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How many hundreds are there in 27,356
27 thousand
3 hundred
50 tens
6 units
The number of hundreds in 27,356 is 273.
What do we mean by the number of hundreds in a number?The number of hundreds in a given number is the integral quotient that we will get by dividing the number by 100.
How do we solve the given question?We are asked how many hundreds are there in 27,356.
To find the number of hundreds, we divide the number by 100.
27356/100 = 273.56
The quotient we get is 273.56.
The integral part of this quotient, that is, 273 represents the number of hundreds.
∴ The number of hundreds in 27,356 is 273.
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If we are told that ab= 0, then what can we infer by the zero product property we know =0 or. =0
When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.
We are given that ab = 0, where a and b are variables or numbers.
According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.
In our case, we have ab = 0. This means that the product of a and b is equal to zero.
To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.
It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.
Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.
In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.
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the answer is 24 ....
Answer:
A equation with 24 as an answer would be 6*4
Step-by-step explanation:
A taxi ride costs $3 plus $2.50 per mile. Write and GRAPH an equation in two variables that represents the total cost of a taxi ride. Let m represent number of miles and c represent the total cost (in dollars) of the taxi ride.
Answer:
c = 2.5m + 3
Step-by-step explanation:
because m is number of miles it is just like x in y = mx + b
c is basically y because it is the result
the equation is
c = 2.5m + 3
2.5 per mile and adding 3 for each trip
when graphing this your y intercept is at 3
2.5 is also 5/2 when turned into a fraction so you go up 5 and left 2 to find the next point on the line
solve the question.
Answer: 1
\((\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1\)
Step-by-step explanation:
PLEASE HELP MEEEE
WILL GIVE BRAILLEST
Answer:
Please check the explanation.
Step-by-step explanation:
Here are some of the rules using which we can easily figure out the true nature of a function.
Linear Function:
The constant change in x and y
Quadratic Function:
The constant change in x
The constant 2nd differences in y
Exponential Function:
The constant change in x
The constant ratio in y
Determining the nature of function
Given the table
x -3 -2 -1 0 1 2
y 32 16 8 4 2 1
It is clear that there is a constant change in x
i.e. -2-(-3) = 1, -1-(-2) = 1, 0 - (-1) = 1, 1-0 = 1, 2-1 = 1
Also there is a constant ratio in y
16/32 = 1/2, 8/16 = 1/2, 4/8 = 1/2, 2/4=1/2, 1/2 = 1/2
Therefore, the given function is the exponential function.
Determining the equation
We know the exponential function is of the form
y = abˣ
Taking the point (0, 4) and substitute in the function
4 = ab⁰
as b⁰ = 1, so
4 = a(1)
a = 4
substituting the point (1, 2) and a = 4 in the function
y = abˣ
2 = 4b¹
as b¹ = b, so
2 = 4b
b = 2/4
b = 1/2
Now, substituting a = 4, and b = 1/2 in the function
y = abˣ
y = 4(1/2)ˣ
Therefore, the equation of the function is:
y = 4(1/2)ˣAn expression is shown. 2/3+1/5 What is the value of the expression?
Answer:
2.5 1/2
Step-by-step explanation:
In the first week of July, a record 1040 people went to the local swimming pool. In the second week, 110 fewer people went to the pool than in the first week. In the third week, 145 more people went to the pool than in the second week. In the fourth week, 295 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer: 10% or 20% (if I’m wrong I’ll fix)
Step-by-step explanation:
Which transformations would result in a geometric figure that is exactly the same size as DEF? check all that apply
Answer:
A C D Because dilate means to become larger/smaller
Step-by-step explanation:
help please!! asap!!
Answer: 1. 2 2. 4 3. 9
Step-by-step explanation: Hi there!
First, we need to set up our equation by combining like terms.
x+2x+4x+1=15
7x+1=15
Then subtract 1 on both sides
7x=14
Then divide by 7
x=2
So x=2
Put that into all of the x values on the piece of steel to get 2, 4, 9.
Hope this answer helps you!
if a tlc plate shows only one spot with an rf value of 0.98, does this mean the sample is pure? briefly explain why or why not.
No, a single spot on a TLC plate with an RF value of 0.98 does not necessarily indicate that the sample is pure.
TLC (Thin Layer Chromatography) is a commonly used analytical technique for separating and identifying components of a mixture. The RF value, or retention factor, is a measure of how far a compound has migrated on the plate compared to the solvent front.
An RF value of 0.98 means that the compound has migrated 98% of the distance from the origin to the solvent front. While a single spot on a TLC plate can indicate that the sample is relatively homogeneous, it does not guarantee that the sample is pure.
The presence of impurities or contaminants, as well as other factors such as sample preparation, could result in multiple spots appearing on the TLC plate even if the sample is pure.
Therefore, a more comprehensive analysis, such as mass spectrometry or NMR spectroscopy, is needed to determine the purity of a sample.
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What are the minimum and maximum values of this?
The minimum value is 0.5 and the maximum value is 3.5.
What are the minimum and maximum values of this?The minimum value of 1/n(x) + 2 over the interval 5≤ x ≤ 8 is 2.This is because 1/n(x) is a decreasing function and the smallest value it can take is 1/n(8) = 1/8. Adding 2 to this gives 2. The maximum value of 1/n(x) + 2 over the interval 5≤ x ≤ 8 is 5.This is because 1/n(x) is an increasing function and the largest value it can take is 1/n(5) = 1/5. Adding 2 to this gives 5. Overall, 1/n(x) + 2 takes on values between 2 and 5 over the interval 5≤ x ≤ 8.This is because 1/n(x) is a decreasing function over the interval and adding 2 to this makes the minimum value 2, while 1/n(x) is an increasing function over the interval and adding 2 to this makes the maximum value 5.The minimum and maximum values for the function 1n(x) +2 over the interval 5≤ x ≤ 8 can be determined by examining the graph of the function over the given interval.Since the function is increasing over the given interval, the minimum value of the function is equal to its value at the lower bound of the interval (x = 5), which is 1n(5) + 2 = 2.71.The maximum value of the function is equal to its value at the upper bound of the interval (x = 8), which is 1n(8) + 2 = 3.11.To learn more about the minimum and maximum values refer to:
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Match the vector fields F with the plots labeled I-IV. Give reasons for each of your choices. F(x, y) = (y, x) F(x, y) = (1, sin y) F(x, y) = (x - 2, x + 1) F(x, y) = (y, 1/x) For each of the following vector fields F, compute the function rot(F). Then give a one sentence description of what the vector field would look like if you plotted it. F(x, y) = (x, y) F(x, y) = y i = x j F(x, y) = (y, -x) F(x, y) = (1 + xy)i + x^2 sin y j F(x, y) = (x, xy)
the vector fields F with the plots labeled I-IV, Then give a one sentence description of the vector field would look like if you plotted it. F(x, y) = (x, xy): rot(F) = 0; The vector field would look like a series of straight lines that move away from the origin
I: F(x, y) = (y, x) - This vector field corresponds with plot I, as it forms a series of counter-clockwise circular paths.
II: F(x, y) = (1, sin y) - This vector field corresponds with plot II, as it forms a series of parallel lines.
III: F(x, y) = (x - 2, x + 1) - This vector field corresponds with plot III, as it forms a series of diagonal lines that move outward from the origin.
IV: F(x, y) = (y, 1/x) - This vector field corresponds with plot IV, as it forms a series of concentric circles with the origin as their center.
F(x, y) = (x, y): rot(F) = 0; The vector field would look like a grid of straight lines.
F(x, y) = y i = x j: rot(F) = 1; The vector field would look like a series of counter-clockwise circular paths.
F(x, y) = (y, -x): rot(F) = -1; The vector field would look like a series of clockwise circular paths.
F(x, y) = (1 + xy)i + x^2 sin y j: rot(F) = x^2; The vector field would look like a series of curves that rotate counter-clockwise around the origin.
F(x, y) = (x, xy): rot(F) = 0; The vector field would look like a series of straight lines that move away from the origin
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Which is an x-intercept of the graphed function?
(0, 4)
(–1, 0)
(4, 0)
(0, –1)
Answer:
I would need to see the graph
Step-by-step explanation:
To find the x-intercept you find the point which the line intercepts with the x-axis...... The x-axis is the one that runs side to side.
Answer:
0,4 and 0, -1
Step-by-step explanation:
The graph is showing the x-axis on the left side. If you look at all the other numbers, they all say x-axis that does not hit the line. Yes, there are numbers who are hitting the 0 point, but all of those are Y-AXIS.
Please help me with this question it’s been stressful
Answer:
Im not sure what it is to do but the answer i got was -886.6
9.76\times 10^{-3} in an ordinary form
Answer:
0.00976
Step-by-step explanation:
Answer: 0.00976
10^{-3} = 0.001
9.76 times 0.001 = 0.00976
help please this is due in a few minutes!!
Miguel did the following math problem: 6 ^5 · 6^ 4 = 36^ 9.
Which of the following is a true statement?
He is incorrect because he multiplied the bases.
He is incorrect because he should have multiplied the exponents.
He is correct.
He is incorrect because he should have subtracted the exponents.
Answer:
He is incroredct because he should have multiplied the bases
Step-by-step explanation:
Answer:
A: He is incorrect because he multiplied the bases.
Step-by-step explanation:
The correct answer would have been: \(6^{9}\)
Solve this inequality
6 is greater than or equal to m-1
Combine like terms 3x-7x=
Answer:
-4x
Step-by-step explanation:
3-7=-4 just add a x
Help if you understand please and thanks
Answer:
\(\displaystyle 6\)
Step-by-step explanation:
\(\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 + 9}{-1 + 2} = m; \boxed{6 = m}\)
I am joyous to assist you at any time.
Jenna has 38 coins. She uses 19 coins to buy a notebook. How many coins does she have left?
Explain how you can solve and check this problem.
Answer: 19 coins
Step-by-step explanation:
38-19=19
To check, take any one of the nubers and replace it with x, and when you solve for x. you'll get that number back. For example:
Let x represent the amount used to buy a notebook
19+x=38
x=38-19
x=19
a researcher wants to determine if daily walks together strengthen a marriage. one group of wives and one group of husbands are selected and have daily walks. after 2 weeks, all are asked if they felt their marriage was stronger based on the walks and the results of the two groups are compared. to be a valid matched pair test, what should the researcher consider in creating the two groups? group of answer choices that the both groups were positive on marriage before the walks that the wives group was positive on marriage before the walks that the husbands and wives selected were married to each other that all husbands and wives in the test had been married about the same amount of time
Answer:
Step-by-step explanation
2=x
Find an equation for the plane consisting of all points that are equidistant from the points (1,0,-2) and (3,4,0).
The midpoint formula and the normal vector of the plane can be used to determine the equation of the plane that contains all points equidistant from the points (1,0,-2) and (3,4,0).
How is this determined?Given by: The midpoint of the two points is:
M = [(1 + 3)/2, (0 + 4)/2, (-2 + 0)/2] = (2, 2, -1) (2, 2, -1)
The following vector runs between the two points:
V = (3 - 1, 4 - 0, 0 - (-2)) = (2, 4, 2) (2, 4, 2)
The cross product of two non-parallel plane vectors yields the normal vector to the plane. The midpoint M to a point on the plane is one such vector, while the other is the vector V. Consider the point P = (2, 2, -1) + t(2, 4, 2) as an illustration, where t is a scalar.
The normal vector is then provided by:
N = V x (P - M) = (2, 4, 2) x (2t, 4t, 2t -1), which equals (12t, -8t, 4t + 2)
The point-normal form, which makes use of the normal vector N and the point M, can be used to determine the equation for the plane:
(x - 2) * 12t = (y - 2) * -8t = (z + 1) * 4t + 2
The final equation of the plane is obtained by multiplying both sides of the equation by t and setting t 0.
12(x - 2) = -8(y - 2) = 4(z + 1) + 2
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A sample of n sludge specimens is selected and the ph of each one is determined. the one-sample t test will then be used to see if there is compelling evidence for concluding that true average ph is less than 7. 0. what conclusion is appropriate in each of the following situations?.
The average pH is equal to 7, according to the question.
What do you mean by average pH?A good balance of acidity and alkalinity is something that the human body is designed to do on its own. A crucial part of this process is played by the kidneys and lungs. On a scale of 0 to 14, where 0 is the most acidic and 14 is the most basic, a normal blood pH level is between 7.35 and 7.45.
According to the question,
Here null hypothesis is given,
H0= Hph = 7.0
Ha= Hph < 7.0
a) n= 6, t=-2.9, ∝=0.05
t>tc
Here statistic is greater than the absolute critical value
Hence, H0 is rejected
b) n=19 t=-3.5 ∝=0.01
t0.01,18 = -2.552
|t| > tc
True average ph>7
Here again absolute value of t is greater than critical value
Hence, H0 is rejected
c) t0.05,18 =-1.734
|t|> tc
Here, modulus is greater
Hence, H0 is rejected
d) n=5 t=0.9 ∝=0.05
t0.05,4= -2.132
|t|<tc
Here, absolute value is less than the critical value
Hence, H0 is accepted
Therefore, Average pH=7
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Consider the following sequence.
64, -32, 16, -8,...
Hence find the next three terms of the sequence.
Answer:
4,-2,1
Step-by-step explanation:
Keep dividing the previous term by -1/2
So we get
4,-2,1
Help? I dont remember how to do this!!!!
Answer:
13. 5^7
14. 7^1000
15. 16^10000
25 x 10 x 10 x 10 x 10 x 10 x 10
Step-by-step explanation:
A plane is labeled H. 3 horizontal lines are shown. From top to bottom, line k is above the plane and lines n and w are on the plane. Vertical line m cuts through the horizontal lines and the parallelogram. Point x is at the intersection of lines m and n and indicates that m is at a right angle to line n. Lines n and w are parallel to each other. Which statement is true regarding the parallel and perpendicular lines in the diagram? k Parallel to n and w Perpendicular to m k Parallel to n and n Perpendicular to m w Parallel to n and n Perpendicular to m w Parallel to n and wPerpendicular to m
Answer:
c on edge
Step-by-step explanation:
i just did it
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is C.
What is a line segment?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is a straight line with finite length, and thus, has two endpoints(points on either end).
The diagram for the given condition can be made as shown below. Now, from the image, the following conclusion can be made,
The two lines w and n are parallel to each other.The line m is perpendicular to n, this is because the angle between the two lines is equal to 90°. The two lines k and line n are also parallel to each other.Further, if all the options are observed.
A.) k Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
B.) k Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
C.) w Parallel to n and n Perpendicular to m
Since both the parts of the statement are correct, therefore, it can be concluded that the given statement is correct.
D.) w Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
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