Answer:
y=b slope= 4/1
Step-by-step explanation:
Answer:
m=-4, b=6
Step-by-step explanation:
y=-4x+6
y=mx+b where m=slope and b=y-intercept
find the answer m<i
Answer:
The measure of angle i = 114°
Step-by-step explanation:
180-117= 63
180-129= 51
63°+51°= 114°
If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I, find the value of tan(A−B).
If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.
What is the value of tan(A-B)?We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)
From the given information, we have:
cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)
tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5
Now, we can use the definitions of sine and cosine to find tan A:
tan A = sin A / cos A = (7/25)/(24/25) = 7/24
Substituting the values we have found into the formula for tan(A - B), we get:
tan(A - B) = (tan A - tan B)/(1 + tan A tan B)
= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]
= (-13/72)/(25/72)
= -13/25
Therefore, tan(A - B) = -13/25.
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Addison is shooting a free throw. The initial height of the ball is represented by the____
A. x-intercept
B. y-intercept
C. zeros
D. vertex
9514 1404 393
Answer:
B. y-intercept
Step-by-step explanation:
If we assume that the graph of the free-throw is of height versus time, then the initial height is the y-intercept—when time = 0.
B
5 in.
a.
(6.257 25) in.
-
b. (6.25π – 12.5√2)in.²
d.
Find the value of x and y rounded to the nearest tenth.
C.
(6.25π- 12.5) in.2
none of these
Answer:
Step-by-step explanation:
5 in.
a.
(6.257 25) in.
-
b. (6.25π – 12.5√2)in.²
d.
Find the value of x and y rounded to the nearest tenth.
C.
(6.25π- 12.5) in.2
My math grade went from a 78 to a 86. What is the percent increase
Answer:
10.25641...% or 10.3%
Step-by-step explanation:
(86/78)/78 = 8/78
8/78 * 100 = 400/39 = 10.25641...%
What is the simplest fraction Kieran could be thinking of? My fraction is larger than 0.2 but smaller than 0.4 and when I convert my fraction to a decimal it has one decimal place.
Answer:
The fraction is 3/10 = .3
What is the recursive rule for the sequence shown in the graph?
The recursive rule for the sequence in the graph is aₙ = aₙ₊₁ + 4
Recursive rule are the rules that continually takes a previous number and changes it to get to a next number.
It gives first term or terms of sequence and describes how term is related to previous term with an equation.
Looking at the graph ,
taking first two point ,n = 1 and n = 2
At n = 1 , a(n) = 13
At n = 2 , a(n) = 9
so , 9 = 13 - 4
we can write it as,
a₂ = a₁ - 4
Hence , recursive formula for sequence :
aₙ₊₁ = aₙ - 4
bring aₙ to the left
=> aₙ = aₙ₊₁ + 4 is required recursive formula
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Pls helppppppppppppppppp
Answer:
x=8
Step-by-step explanation:
11x+2=90
11x=88
x=8
Answer:
19. X=8
20. x=7
A train accelerates at an average rate of 0.33 meter per second squared, and the
train starts from a complete stop. Find how long it will take the train to reach its
maximum velocity of 48 meters per second.
Pls someone help ASAP
Answer:
I don't know
Step-by-step explanation:
please mark me as the brainlist
Determine the distance between the points (−3, −6) and (5, 0).
The distance between the points (-3, -6) and (5, 0) is 10 units.
What is the Pythagorean theorem?Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.
To determine the distance between two points in a coordinate plane, you can use the distance formula, which is derived from the Pythagorean theorem.
The distance formula for two points (x₁, y₁) and (x₂, y₂) in a coordinate plane is:
Distance = √{(x₂ - x₁)² + (y₂ - y₁)²}
Given the two points (-3, -6) and (5, 0), we can plug in the values into the distance formula as follows:
x₁ = -3, y₁ = -6 (coordinates of the first point)
x₂ = 5, y₂ = 0 (coordinates of the second point)
Distance = √{(x₂ - x₁)² + (y₂ - y₁)²}
= √{(8)² + (6)²}
= √{(64) + (36)
= √100
= 10
Hence, the distance between the points (-3, -6) and (5, 0) is 10 units.
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translate the english phrase into an algebraic expression: the quotient of the product of 6 and 6r, and the product of 8s and 4.
This algebraic expression represents the same mathematical relationship as the original English phrase.
To translate the English phrase "the quotient of the product of 6 and 6r, and the product of 8s and 4" into an algebraic expression, we need to first identify the mathematical operations involved and then convert them into symbols.
The phrase is asking us to divide the product of 6 and 6r by the product of 8s and 4. In mathematical terms, we can represent this as:
(6 × 6r) / (8s ×4)
Here, the symbol "*" represents multiplication, and "/" represents division. We multiply 6 and 6r to get the product of 6 and 6r, and we multiply 8s and 4 to get the product of 8s and 4. Finally, we divide the product of 6 and 6r by the product of 8s and 4 to get the quotient.
We can simplify this expression by dividing both the numerator and denominator by the greatest common factor, which in this case is 4. This gives us the simplified expression:
(3r / 2s)
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The English phrase "the quotient of the product of 6 and 6r, and the product of 8s and 4" can be translated into an algebraic expression as follows: (6 * 6r) / (8s * 4)
Let's break down the expression:
The product of 6 and 6r is represented by "6 * 6r" or simply "36r".The product of 8s and 4 is represented by "8s * 4" or "32s".Therefore, the complete expression becomes: 36r / 32s
In this expression, the product of 6 and 6r is calculated first, which is 36r. Then the product of 8s and 4 is calculated, which is 32s. Finally, the quotient of 36r and 32s is calculated by dividing 36r by 32s.
This expression represents the quotient of the product of 6 and 6r and the product of 8s and 4. It signifies that we divide the product of 6 and 6r by the product of 8s and 4.
In algebra, it is important to accurately represent verbal descriptions or phrases using appropriate mathematical symbols and operations. Translating English phrases into algebraic expressions allows us to manipulate and solve mathematical problems more effectively.
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In one day, Mr Hanson spent $100
five times with his debit card. How
much money was deducted from
huis tort?
Se redujeron $500 de la tarjeta de debito.
This is kind of off topic for math but I still need to know the answer, so I’ve finished all my math work and I know my work is also correct but for some reason my grades drop down. I don’t understand why...
Answer:
email or call or talk to your teacher and ask why
Step-by-step explanation:
The causal theory of perception is the view that our experiences (our sensations and ideas) are the effects of physical objects acting on our sense organs (which are thereby the causes).a. Trueb. False
True. The causal theory of perception is the view that our experiences, such as our sensations and ideas, are caused by physical objects acting on our sense organs.
According to this causal theory of perception, when an object in the external world acts on our sense organs, it causes certain neural processes to occur, which in turn give rise to our conscious experiences. The causal theory of perception holds that there is a causal relationship between physical objects in the external world and our conscious experiences. When an object interacts with our sense organs, it causes certain neural processes to occur in our brain, which ultimately give rise to our conscious experiences of the object. So, the physical object is the cause, and our conscious experience is the effect.
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26 a *.*. [1] 1141 T 11 나 x children received a book and a toy and a puzzle. 6 children received a toy and a puzzle. P 98 In the Venn diagram, 8 = {children in a nursery} B= {children who received a book for their birthday} T= {children who received a toy for their birthday} P= {children who received a puzzle for their birthday} 4 children received a book and a toy. 5 children received a book and a puzzle. 7 children received a puzzle but not a book and not a toy. Complete the Venn diagram above.
In the Venn diagram, 11 children received a book, a toy, and a puzzle, while 6 children received a toy and a puzzle. The diagram is complete.
1. According to the information given, 11 children received a book and a toy and a puzzle.
2. It is also mentioned that 6 children received a toy and a puzzle.
3. Let's fill in the numbers in the Venn diagram based on the given information.
- Place 11 in the intersection of all three sets, as those children received a book, a toy, and a puzzle.
- Place 6 in the intersection of sets T and P, as those children received a toy and a puzzle but not a book.
4. Next, it is stated that 4 children received a book and a toy.
- Place 4 in the intersection of sets B and T, as those children received both a book and a toy.
5. It is mentioned that 5 children received a book and a puzzle.
- Place 5 in the intersection of sets B and P, as those children received both a book and a puzzle.
6. Finally, it is stated that 7 children received a puzzle but not a book and not a toy.
- Place 7 in the region outside sets B, T, and P, as those children received only a puzzle.
7. The Venn diagram is now complete, and the numbers are correctly placed in the appropriate regions.
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4. Linear Dependence in a Square Matrix Learning Objective: This is an opportunity to practice applying proof techniques. This question is specifi- cally focused on linear dependence of rows and columns in a square matrix. Let A be a square n x n matrix, (i.e. both the columns and rows are vectors in R"). Suppose we are told that the columns of A are linearly dependent. Prove, then, that the rows of A must also be linearly dependent. You can use the following conclusion in your proof: If Gaussian elimination is applied to a matrix A, and the resulting matrix (in reduced row echelon form) has at least one row of all zeros, this means that the rows of A are linearly dependent. (Hint: Can you use the linear dependence of the columns to say something about the number of solutions to Ai=? How does the number of solutions relate to the result of Gaussian elimination?).
The key approach is to analyze the relationship between the number of solutions to the equation Ax = 0 and the result of Gaussian elimination.
Since the columns of A are linearly dependent, there exist scalars c1, c2, ..., cn (not all zero) such that c1a1 + c2a2 + ... + cnan = 0, where ai represents the columns of A. We can rewrite this equation as a system of linear equations: Ax = 0, where x = [c1, c2, ..., cn]T is a column vector.
The linear dependence of the columns implies that the system Ax = 0 has infinitely many solutions, as we can always find non-trivial combinations of the columns that yield the zero vector.
Now, let's consider applying Gaussian elimination to matrix A. Gaussian elimination transforms the matrix into reduced row echelon form. If the resulting matrix has at least one row of all zeros, it means that there is at least one free variable in the system Ax = 0. This indicates that the system has infinitely many solutions.
Since the system Ax = 0 has infinitely many solutions, and the result of Gaussian elimination with a row of all zeros indicates linear dependence, it follows that the rows of A must also be linearly dependent. Therefore, the linear dependence of the columns implies the linear dependence of the rows.
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The function y = 4x represents the distance in miles, y, a horse runs in x hours.
What does the average rate of change over the interval [5, 7] mean?
A. The average speed of the horse in hours per mile between hours 5 and 7.
B. The average speed of the horse in miles per hour between hours 5 and 7.
C. The total time the horse travels in hours between hours 5 and 7.
D. The total distance the horse travels in miles between hours 5 and 7.
Answer:
B) The average speed of the horse in miles per hour between hours 5 and 7.
Step-by-step explanation:
I took the test
Evaluate the expression.
4(11 + 7) – 9.8
Answer:
4(11+7) - 9.8
4 (18) - 9.8
72 - 9.8
= 62.2
Stuck on this help !
Answer:
9/16
Step-by-step explanation:
Total of 16 combinations:
1:2
1:3
1:4
1:5
2:2
2:3
2:4
2:5
3:2
3:3
3:4
3:5
4:2
4:3
4:4
4:5
Total is 5 or less
1:2
1:3
1:4
2:1
2:2
2:3
3:1
3:2
4:1
I got 9/16
The lines below are parallel. If the slope of the green line is -1/2,what is theslope of the red line?
When two lines are parallel they mean that both slopes are the same, this means that if the green line has a slope of -1/2, the slope of the red line is also -1/2.
The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the recursive formula to represent the situation.
Answer:
an = an – 1 + 14; a1 = 9
Step-by-step explanation:
Answer:
Step-by-step explanation:
pizza represent p
$14=1p
$9=9*1/4=9/4
How do you solve quotients step by step?
We can Long Division method to solve quotients step by step
What is long division method and its steps ?
When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.
We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.
1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.
2. Next, divide it by the divisor, and write the result as the quotient on top.
3. Subtract the outcome from the digit, and then put the difference below.
Step 4: Decrease the dividend's subsequent digit (if present).
Step 5: Carry out Step 4 again.
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What is the area of the figure? The figure is not drawn to scale.
05.1 cm²
011.7 cm²
027.72 cm²
O55.44 cm²
Answer:
27.72 cm^2
Step-by-step explanation:
Parallelogram's area = base x height
= 3.3 x 8.4
= 27.72 cm^2
I need help Please!!!
The correct statement regarding the numeric value of the function and it's inverse is given as follows:
\(f(f^{-1}(22)) = 22\)
How to obtain the inverse function?Suppose we have a function with definition in the format given as follows:
y = f(x).
To obtain the inverse function, we must exchange the variables x and y, and then isolate the variable y.
The numeric value for this problem is given as follows:
f(7) = 22.
Then the numeric value for the inverse function is given as follows:
\(f^{-1}(22) = 7\)
Hence the numeric value of the expression is given as follows:
\(f(f^{-1}(22)) = f(7) = 22\)
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determine the number of terms in the sequence: 1/4, -1/-2, 1, 16384
(full answer )
Answer:245
Step-by-step explanation:
Buns come in packs of 8 while hotdogs come in packs of 10. To plan a party for more than 200 people, for how many guests will both packages work evenly?
Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people.
To plan a party for more than 200 people, the number of guests for which both packages of buns and hotdogs will work evenly is 40 people. Here's an explanation of how to get this answer: First, we need to find the common multiple of 8 and 10 since buns come in packs of 8 while hotdogs come in packs of 10. The common multiple of 8 and 10 is 40. Next, we need to divide the total number of people by the common multiple of 8 and 10, which is 40. So, 200 divided by 40 equals 5. Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people. Any additional guests can be accommodated by purchasing extra packages of buns and hotdogs. So, the answer is 40 guests.
Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people.
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3a^5 x 5a^3 divided by 10a^4
Answer:
1.5 a^4
Step-by-step explanation:
taking only numbers 3*5=15
15/10 = 1.5
taking a powers
a ^ (5+3-4)= a^4
1.5 a^4
Use mathematical induction to prove the formula for all integers n≥1. 10+20+30+40+⋯+10n=5n(n+1) Find S1 when n=1. s1= Assume that sk=10+20+30+40+⋯+10k=5k(k+1). Then, sk+1=sk+ak+1=(10+20+30+40+⋯+10k)+ak+1.ak+1= Use the equation for ak+1 and Sk to find the equation for Sk+1. Sk+1= Is this formula valid for all positive integer values of n ? Yes No
Given statement: 10 + 20 + 30 + ... + 10n = 5n(n + 1)To prove that this statement is true for all integers greater than or equal to 1, we'll use mathematical induction. Assume that the equation is true for n = k, or that 10 + 20 + 30 + ... + 10k = 5k(k + 1).
Next, we must prove that the equation is also true for n = k + 1, or that 10 + 20 + 30 + ... + 10(k + 1) = 5(k + 1)(k + 2).We'll start by splitting the left-hand side of the equation into two parts: 10 + 20 + 30 + ... + 10k + 10(k + 1).We already know that 10 + 20 + 30 + ... + 10k = 5k(k + 1), and we can substitute this value into the equation:10 + 20 + 30 + ... + 10k + 10(k + 1) = 5k(k + 1) + 10(k + 1).
Simplifying the right-hand side of the equation gives:5k(k + 1) + 10(k + 1) = 5(k + 1)(k + 2)Therefore, the equation is true for n = k + 1, and the statement is true for all integers greater than or equal to 1.Now, we are to find S1 when n = 1.Substituting n = 1 into the original equation gives:10 + 20 + 30 + ... + 10n = 5n(n + 1)10 + 20 + 30 + ... + 10(1) = 5(1)(1 + 1)10 + 20 + 30 + ... + 10 = 5(2)10 + 20 + 30 + ... + 10 = 10 + 20 + 30 + ... + 10Thus, when n = 1, S1 = 10.Is this formula valid for all positive integer values of n?Yes, the formula is valid for all positive integer values of n.
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Prove that the sum of the first n odd positive integers is n2. in other words, show that 1 + 3 + 5 .... (2n + 1)
To prove that the sum of the first n odd positive integers is n^2, we can use mathematical induction.
First, let's check that the formula holds true for the base case of n = 1:
1 = 1^2
This is true, as the sum of the first (and only) odd positive integer, 1, is indeed 1, which is equal to 1^2.
Now, let's assume that the formula is true for some arbitrary positive integer k:
1 + 3 + 5 + ... + (2k - 1) = k^2
We want to show that the formula is also true for the next positive integer, k + 1:
1 + 3 + 5 + ... + (2k - 1) + (2(k+1) - 1) = (k+1)^2
Starting with the left-hand side of this equation, we can simplify by adding the (2k+1) term:
1 + 3 + 5 + ... + (2k - 1) + (2k + 1) + (2(k+1) - 1)
Next, we can group the first k terms and the last two terms to get:
(k^2) + (2k + 1) + (2(k+1) - 1)
Simplifying further, we get:
k^2 + 4k + 2
Now, we want to show that this is equal to (k+1)^2:
(k+1)^2 = k^2 + 2k + 1
We can see that these expressions are equal, and therefore we have proven that the formula holds true for all positive integers.
Therefore, we have proven that the sum of the first n odd positive integers is n^2.
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3x - 2y = -1 ; -x + 2y = -5
Answer: 1
−x+2y=−5;3x−2y=−1
Step: Solve−x+2y=−5for x:
−x+2y=−5
−x+2y+−2y=−5+−2y(Add -2y to both sides)
−x=−2y−5
−x
−1
=
−2y−5
−1
(Divide both sides by -1)
x=2y+5
Step: Substitute2y+5forxin3x−2y=−1:
3x−2y=−1
3(2y+5)−2y=−1
4y+15=−1(Simplify both sides of the equation)
4y+15+−15=−1+−15(Add -15 to both sides)
4y=−16
4y
4
=
−16
4
(Divide both sides by 4)
y=−4
Step: Substitute−4foryinx=2y+5:
x=2y+5
x=(2)(−4)+5
x=−3(Simplify both sides of the equation)
Answer:
x=−3 and y=−4
Step-by-step explanation: