Answer:
Change the +2 from Bruce number of tiles to +5. Infinitely many solutions would mean that they have a equal amount of tiles I think.
Step-by-step explanation:
5x+2=5x+5
2=5
All real numbers
Find the base and height of this parallelogram.
Divide the parallelogram into two triangles, assume that our e diagonal is the "base" for both new triangles. What's the height of that triangle? Use the sine function. It's (f/2) * sin (angle)! The area of the triangle is equal to our "base" e times height: e * (f/2) * sin (angle)
The base is 12 feet long, the height is 17 feet long.
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100 points
there's a runner on 1st base and the batter hits a line drive out to right field, where does the right fielder throw the ball?
this is a "real" question
Answer:
2nd Base (I think)
Step-by-step explanation:
The right fielder is closer to the 2nd base.
3. Rhombus KLMN with vertices K(-3, 2), L(1, 4),
and N(-5, -2): (x,y) → (x, y-5)
M(-1,0)
The coordinates of KLMN after reflection along the y-axis is K'(3,2); L'(-1,4); M'(1,0); and N'(5,-2).
What is reflection?A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a set of fixed points known as the hyperplane, also known as the axis or plane of reflection. The mirror image of a figure in the axis or plane of reflection is the image produced by a reflection.So, the coordinates of KLMN when reflected across the y-axis:
When reflected along the y-axis, the image of (x, y) is (-x,y).
Vertex K(-3,2image )'s after reflection along the y-axis is K' (3,2)After reflection along the y-axis, the image of vertex L(1,4) is L' (-1,4)Vertex M(-1,0image )'s after reflection along the y-axis is M' (1,0)Vertex N(-5,2image )'s after reflection along the y-axis is N' (5,-2)Therefore, the coordinates of KLMN after reflection along the y-axis is K'(3,2); L'(-1,4); M'(1,0); and N'(5,-2).
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The correct question is given below:
Given a rhombus KLMN with vertices K(-3,2), L(1,4), M(-1,0), and N(-5,-2). What would the coordinates of its image be when reflected across the y-axis?
true or false: if the eigenvalues of a are 2, 2, 5, then the matrix is certainly (a) invertible. (b) diagonalizable. (c) not diagonalizable.
The claim of invertible metrix is true and others are false.
In the given value we have to check which is true and which is false for the eigenvalues.
The eigenvalues are 2, 2, 5.
(1) First check the matrix is certainly invertible.
The matrix is invertible when the probuct of eigenvalues does not equal to zero.
invertible of A = 2*2*5
invertible of A = 20 which is not equal to zero.
So the matrix is certainly invertible. The claim is true.
(2) Now we check the matrix is certainly diagonalizable.
We note that the eigen value 2 has an algebraic multiplicity of 2 (number of repetitions), but we are unsure if the accompanying eigen vectors likewise have a count of two (geometric multiplicity)
The sum of the algebraic multiplicities must equal the sum of the geometric multiplicities in order for A to be diagonalizable.
In this instance, there is no evidence to support the geometric multiplicity of the eigenvalue 2. Therefore, we are unable to affirm that A is diagonalizable.
Consequently, the claim is false.
(3) Now we check the matrix is certainly not diagonalizable.
If the homogeneous equation from (A-⋋I)x=0 when the eigen value ⋋=2 is substituted x+y+z=0, then the solution set is x=-k-m where y=k, z=m are the parameters.
So it can be written as
\(\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =k\left[\begin{array}{ccc}-1\\1\\0\end{array}\right] +m\left[\begin{array}{ccc}-1\\0\\1\end{array}\right]\)
Putting k=1 and m=1, then the corresponding eigen vectors for ⋋=2 are \(\left[\begin{array}{ccc}-1\\1\\0\end{array}\right],\left[\begin{array}{ccc}-1\\0\\1\end{array}\right]\)
So the geometric multiplicity of the eigen value ⋋=2 is 2.
The algebraic multiplicity = Geometric multiplicity we can see the given matrix A is diagonalizable.
So the statement is false.
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5. The value of
√33
is between what two numbers?
Obetween 3 and 4
between 5 and 6
Obetween 32 and 34
between 16 and 17
Answer: between 5 and 6
Step-by-step explanation: The square root of 5 is 25 and the square root of 6 is 36 . Hence, the square root of 33 lies between 5 and 6.
the line ()=⟨1 2,5 2,−(18 5)⟩ intersects the plane =−9 at the point ( -5 , -1 , -3) when = -3 .
The line l = ⟨1, 2, -(18/5)⟩ + t⟨4, 0, 24/5⟩ intersects the plane x - y + 2z = -9 at the point (-5, -1, -3) when x = -3.
We know that the line is given as: l = ⟨1 2,5 2,-(18/5)⟩And we have the following equation of a plane: x - y + 2z = -9
The point of intersection of the line and the plane is ( -5 , -1 , -3)
when x = -3 The equation of the line can be written in the following vector form:l = a + t(b - a)where a and b are the vectors such that they lie on the line, and t is the parameter.
The point of intersection of the line and the plane lies on both the line and the plane. Hence, it satisfies the equation of both the line and the plane.
Therefore, we have:(-5, -1, -3) = ⟨1, 2, -(18/5)⟩ + t⟨4, 0, 24/5⟩and x = -3t = (x1 - a1) / (b1 - a1)t = (-3 - 1) / (5 - 1)t = -1We now have the point of intersection of the line and the plane,
which can be determined as follows:(-5, -1, -3) = ⟨1, 2, -(18/5)⟩ + t⟨4, 0, 24/5⟩⟹ (-5, -1, -3) = ⟨1, 2, -(18/5)⟩ - ⟨4, 0, 24/5⟩⟹ (-5, -1, -3) = ⟨-3, 2, -78/5⟩Thus, the line l = ⟨1, 2, -(18/5)⟩ + t⟨4, 0, 24/5⟩ intersects the plane x - y + 2z = -9 at the point (-5, -1, -3) when x = -3.
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HELP DUE IN 10 MINUTES!!
Determine the intercepts of the line.
Do not round your answers.
y − 6 = 4(x + 5)
1. y-intercept: ( , )
2. x-intercept: ( , )
Answer:
x intercept = 26
y intercept = 6.5
Step-by-step explanation:
n/a
\(\\ \rm\longmapsto y-6=4(x+5)\)
Convert to y=mx+c\(\\ \rm\longmapsto y-6=4x+20\)
\(\\ \rm\longmapsto y=4x+20+6\)
\(\\ \rm\longmapsto y=4x+26\)
c is y interceptm is x intercepty intercept=26
x intercept=4
Giving brainiest ~ please helpp ^^
hope this helps :)
...........
Answer:
The volume of this composite figure is 312 cubic inches.
Step-by-step explanation:
Volume of pyramid:
\( \frac{1}{3} ( {6}^{2} )(5) = \frac{1}{3} (36)(5) = \frac{1}{3} (180) = 60\)
Volume of rectangular prism:
\(12(3)(7) = 252\)
Volume of composite figure:
\(60 + 252 = 312\)
1. What is the first step in simplifying the expression (2-3x4+5)^2
1) square 5
2) add 4 and 5
3) subtract 3 from 2
4) multiply 3 by 4
if a and b are directly proportional and b and c are directly proprtional, then how are a and c related
a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.
If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.
Mathematically, this can be written as
a = kb and b = mc, where k and m are constants of proportionality.
Multiplying these two equations gives: a = kbm
Substituting the value of b from the second equation in the first equation, we get: a = kmc
Therefore, a and c are also directly proportional to each other with a constant of proportionality km.
Thus, if a increases by a certain factor, c will also increase by the same factor.
If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.
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Give an example of two non-empty unequal languages A, B C {0,1}* such that AB = BA. Show why your examples of A and B satisfy the requirements.
An example of two non-empty unequal languages A and B in C {0,1}* such that AB = BA can be:
A = {0^n 1^n | n ≥ 0}
B = {0^n 1^n 0^n | n ≥ 0}
language A consists of all strings that have a sequence of 0s followed by a sequence of 1s, where the number of 0s and 1s are the same. Language B consists of all strings that have a sequence of 0s, followed by a sequence of 1s, followed by a sequence of 0s, where the number of 0s in the first and third sequences is the same as the number of 1s in the second sequence.
Now, we need to show that AB = BA.
AB is the language consisting of all concatenations of a string in A followed by a string in B. BA is the language consisting of all concatenations of a string in B followed by a string in A.
If we take any string in AB, it will have the form 0^n 1^n 0^m 1^m 0^m 1^m, where n, m ≥ 0.
Now, if we take the reverse of this string, we get 1^m 0^m 1^m 0^n 1^n 0^m.
This is a string in BA, since we have a string in B followed by a string in A.
Therefore, AB ⊆ BA.
Similarly, if we take any string in BA, it will have the form 0^m 1^m 0^n 1^n 0^m 1^m, where n, m ≥ 0.
Taking the reverse of this string, we get 1^m 0^m 1^n 0^n 1^m 0^m.
This is a string in AB, since we have a string in A followed by a string in B.
Therefore, BA ⊆ AB.
Since AB ⊆ BA and BA ⊆ AB, we have AB = BA.
, the languages A = {0^n 1^n | n ≥ 0} and B = {0^n 1^n 0^n | n ≥ 0} satisfy the requirements of being non-empty, unequal languages in C {0,1}* such that AB = BA.
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A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. If they all work together, in how many days will the work finish?
Answer:
= 120 days
Step-by-step explanation:
find their LCM
30,24,20
= 120 days
For f(x)=4x+1 and g(x) = x2-5, find (f+g)(x)
A. x2+4x-4 B. x2+4x+6 C. 4x2-19 D. 4x3-4
Answer:
A
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= 4x + 1 + x² - 5 ← collect like terms
= x² + 4x - 4 → A
please hurry!!
2p+7 = p +
Answer:
(q - 5r)/2
Step-by-step explanation:
In BINGO, a card is filled by marking the middle square as WILD and placing 24 other numbers in the remaining 24 squares.
Specifically, a card is made by placing 5 numbers from the set 1-15 in the first column, 5 numbers from 16-30 in the second column, 4 numbers 31-45 in the third column (skipping the WILD square in the middle), 5 numbers from 46-60 in the fourth column and 5 numbers from 61-75 in the last column.
One possible BINGO card is:
To play BINGO, someone names numbers, chosen at random, and players mark those numbers on their cards. A player wins when he marks 5 in a row, horizontally, vertically, or diagonally.
How many distinct possibilities are there for the values in the diagonal going from top left to the bottom right of a BINGO card, in order?
To find the number of distinct possibilities for the values in the diagonal going from the top left to the bottom right of a BINGO card, we need to look at the values in each of the five squares that make up the diagonal.
How is this calculated?In the first column, there are 5 possible values (1-15), in the second column, there are 4 possible values (16-30), in the third column there are no possible values because the middle square is WILD, in the fourth column there are 4 possible values (46-60) and in the fifth column there are 5 possible values (61-75).
We need to find the total number of possible combinations of these values. To find the total number of combinations, we can use the formula for combination:
C(n, k) = n! / (k! (n-k)!)
where n is the number of items to choose from and k is the number of items to choose.
In this case, we have 5 items to choose from in the first column, 4 items in the second column, 0 items in the third column, 4 items in the fourth column and 5 items in the fifth column. So we have:
C(5, 1) * C(4, 1) * C(0, 0) * C(4, 1) * C(5, 1) = 5 * 4 * 1 * 4 * 5 = 400
There are 400 distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card.
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round 1.7802 to 1 significant figure
Answer:
It would be 2
Step-by-step explanation:
Since they are looking for only 1 significant fig. you would round the number that would make this correct, for example:
You would look at 1.7 and ignore the others...
7 is greater than 5 so it'll affect the 1
And that how you get 2 : )
TIMING THE CAR
"I was walking along the road at three and a half miles an hour," said Mr. Pipkins, "when the car dashed past me and only missed me by a few inches."
"Do you know at what speed it was going?" asked his friend.
"Well, from the moment it passed me to its disappearance round a corner took twenty-seven steps and walking on reached that corner with one hundred and thirty-five steps more."
"Then, assuming that you walked, and the car ran, each at a uniform rate, we can easily work out the speed.
What was the speed?
Explain your method.
We can define the speed as the quotient between the distance moved, and the time it takes to move that distance, so we have:
speed = Distance/Time.
Now we can rewrite this as:
Distance = Speed*Time.
We will find that the speed of the car was 21 mi/h.
Here the information given is:
Mr. Pipkins speed is: S = 3.5 mi/h
The car needed 27 "steps" to reach the corner.
Mr. Pipkins needed 27 + 135 = 162 "steps" to reach the same corner.
Because the number of steps is related to time and distance, the ratio between the number of steps should be the same as the ratio between the speeds:
162/27 = 6
(Pipkins needed 6 tomes more steps than the car, so the car moves 6 times faster than Pipkins)
This means that the speed of the car is 6 times larger than the speed of Mr. Pipkins.
Then the speed of the car is:
S' = 6*(3.5 mi/h) = 21 mi/h.
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A troop leader recorded whether the members of two troops prefer hiking or swimming. The troop leader plans to create a two-way table to display the results.
Which variables can the troop leader use as the row and column headings of the table?
The troop leader can use the two variables of preference (hiking or swimming) as the row and column headings of the table.
What is the independent and dependent variable?In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.
The troop leader can utilize the two variable categories (hiking or swimming) as the table's row and column headings.
The number of members who prefer each activity can be recorded in the cells of the table to show the distribution of preferences within each troop and the comparison between the two troops.
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factoring a quadratic in two variables with leading coefficient 1
Factoring a quadratic in two variables with a leading coefficient of 1 involves finding two binomial factors that, when multiplied, produce the quadratic expression. The factors can be determined by identifying the common factors of the quadratic terms and arranging them appropriately.
To factor a quadratic expression in two variables with a leading coefficient of 1, we need to look for common factors among the terms. The goal is to rewrite the quadratic expression as a product of two binomial factors. For example, if we have the quadratic expression x^2 + 5xy + 6y^2, we can factor it as (x + 2y)(x + 3y) by identifying the common factors and arranging them in the binomial factors.
The process of factoring a quadratic in two variables may involve trial and error, testing different combinations of factors to find the correct factorization. Additionally, factoring methods such as grouping or using the quadratic formula can also be applied depending on the specific quadratic expression.
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Can someone explain?
A car travels up a hill at a constant speed of 42 km/h and returns down the hill at a constant (2) 2 * * .speed of 75 km/h. Calculate the average speed for the round trip kmh h58.50 kmin53.85 km/h66.3 km/h45.8
The average speed for the round trip would be 53.85 km/h for a car that travels up a hill at a constant speed of 42 km/h and returns down the hill at a constant speed of 75 km/h.
We are required to calculate the average speed for a car that travels up a hill at a constant speed of 42 km/h and returns down the hill at a constant speed of 75 km/h.
Step-by-step explanation:
Firstly, we know that,
Average speed is defined as the total distance covered by the body during its motion divided by the total time taken by it. Mathematically,
Average speed= Total distance / Total time
Let us assume that the total distance covered by the car while going up and down the hill is 'd'.And,let the time taken to travel uphill be 't1' and the time taken to travel downhill be 't2'.As the car is traveling at a constant speed, we can say that the speed of the car is constant during both uphill and downhill.
Now, let's calculate the time taken to travel uphill.
Time taken to travel uphill, t1 = Distance / Speed = d/42
Similarly, the time taken to travel downhill, t2 = Distance / Speed = d/75
Therefore, the total time taken for the round trip, t = t1 + t2 = d/42 + d/75
To calculate the average speed, we need to calculate the total distance covered, which is equal to 2d (as the car is traveling uphill and downhill)
Therefore, Average speed= (Total distance) / (Total time taken)= 2d / (d/42 + d/75)= 2 / (1/42 + 1/75)= 2 / ((75+42) / (75*42))= 2 / (117/3150)= 6300 / 117= 53.85 km/h (approx)
Therefore, the average speed of the car for the round trip is 53.85 km/h (approx).
Hence, the correct option is km/h53.85.
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guys pls help me!!!!!!
Answer:
128 degrees
Step-by-step explanation:
Angles on a straight line equals 180⁰
180⁰-52⁰=128⁰
I’ll really appreciate it if you help me out on this one .
Answer:
A
Step-by-step explanation:
This is because from the data we can tell its increasing 1.50$ per 5 goldfish.
1.50/5=.30
Charles correctly answered 23 questions on a test, receiving a grade of 92%. How many questions were on the test?
Answer:
Let's start by using a proportion to find the total number of questions on the test. We know that Charles answered 23 questions correctly and received a grade of 92%, which means he missed 8% of the questions.
Let x be the total number of questions on the test. Then 8% of the questions that Charles missed can be expressed as 0.08x.
The number of questions that Charles answered correctly plus the number of questions he missed must add up to the total number of questions on the test:
23 + 0.08x = x
Simplifying and solving for x, we get:
0.92x = 23
x = 23 / 0.92
x ≈ 25
Therefore, the total number of questions on the test was approximately 25.
what is the area of a sector of a circle with a radius of 8 inches and formed by a cetnral angle that measures 60
The area of the sector is 16π square inches.
To find the area of a sector of a circle, we need to use the formula:
Area of sector = (central angle/360) x \(\pi r^2\)
where r is the radius of the circle.
In this case, the radius is given as 8 inches.
We are also given that the central angle measures from 60 to 150 degrees. To calculate the area of the sector, we need to find the size of the central angle first.
To do this, we subtract the smaller angle from the larger angle:
150 - 60 = 90 degrees
So, the central angle is 90 degrees.
Now, we can substitute the values into the formula:
Area of sector = (90/360) x \(\pi 8^2\)
Area of sector = (1/4) x π(64)
Area of sector = 16π square inches
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In the figure below, m || k. Find the values of x and z.
850
|(52 - 75)°
Z =
Answer:
z=33 x=90
Step-by-step explanation:
33 X 5 = 165 - 75 = 90 degress and x is a right angle so x is 90 degrees
Is 12/25 greater than 1
Answer:
no
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
What is the value of x?
Answer:
C
Step-by-step explanation:
Answer:
I know this answer
Step-by-step explanation:
c is the answer
hope it may helps you
Converting Real Life Scale.. -Page 2-
NEED HELP ASAPPP 50 POINTS
(picture is linked belowww)
tysm like fr <33
The table with the scale measurements is given by the image shown at the end of the answer.
How to obtain the measurements?The measurements are obtained applying the proportion given for each table.
The symbols are given as follows:
': feet.'': inches.For the first table, we have that every inch on the table represents one feet in real life, hence:
2'' on the paper represents 2' in real life.2' on the paper represents 24' in real life. (as one feet = 12 inches, hence 24 inches = 24 feet according to the scale).0.5'' on the paper represents 0.5' in real life.9'' on the paper represents 9' in real life.For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:
2'' on the paper represents 4' in real life.2' on the paper represents 48' in real life.0.5'' on the paper represents 1' in real life.9'' on the paper represents 18' in real life.More can be learned about scale measurements at https://brainly.com/question/29229124
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I WILL MARK YOU BRAINLIEST. Xavier decorated his paper with stickers. He put 3 stickers on his paper. Each sticker is 1/8 inches wide and 2/5 inches long. What is the total area, in square inches, of all of the stickers Xavier used?
Answer:
3x1/8x2/5=3/20
Step-by-step explanation: