Answer:
Answer is A
Step-by-step explanation:
subtract 15 1/4 and 2 2/3
RS= 6x-8
UV= 4x+2
write and solve an equation to find the value of x (show work)
What is the length of RS
What is the length of UV
Answer:
The length of RS is 22
The length of UV is 22
Step-by-step explanation:
6x-8. ---------- equation (i)
4x+2 ------------ equation (ii)
Now,
equating equation i and ii, we get
6x-8 = 4x+2
or, 6x-4x = 2+8
or, 2x = 10
or, x = 10/2
.°. x = 5
Then,
length of RS = 6x-8
= 6×5-8
= 30-8
= 22
Again
length of UV = 4x+2
= 4×5+2
= 20+2
= 22
2a + 3c = 5
a +2c=1
There is an ordered pair that is the solution of the system of equations shown. The value of one of the variables in the solution of the system can be obtained by using which of the following substitutions?
A) 2 (2c - 1) + 3c = 5, because a = 2c - 1.
B) 2 (1 - 2c) + 3c = 5, because a = 1 - 2c.
C) 2a + 3 (a - 1) = 5, because c = a - 1.
D) 2a +3(1 - a) = 5, because c = 1-a
Answer:
A
Step-by-step explanation:
The required system that can be obtained by substituting is
2 (1 - 2c) + 3c = 5, because a = 1 - 2c.
Given the system of equation;
2a + 3c = 5
a +2c=1
This system can be solved using the substitution method.
From equation 2:
a = 1 - 2c ...................... 3Substitute equation 3 into 1 will give:
2a + 3c = 52 (1- 2c) + 3c = 5Hence the required system that can be obtained by substituting is
2 (1 - 2c) + 3c = 5, because a = 1 - 2c.
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The probability of a student spending time reading is 0.59, and the probability of a student doing well on an exam and spending time reading is 0.58. What is the probability of a student doing well on an exam given that the student spends time reading
The probability of a student doing well on an exam given that they spend time reading is approximately 0.983 or 98.3%.
To calculate the probability of a student doing well on an exam given that the student spends time reading, we need to use conditional probability.
Let's denote:
P(R) as the probability of a student spending time reading (P(R) = 0.59),
P(E) as the probability of a student doing well on an exam (P(E)),
P(E|R) as the probability of a student doing well on an exam given that they spend time reading (P(E|R) = 0.58).
The formula for conditional probability is:
P(E|R) = P(E and R) / P(R).
Given that P(E and R) = 0.58 (the probability of a student doing well on an exam and spending time reading) and P(R) = 0.59 (the probability of a student spending time reading), we can substitute these values into the formula:
P(E|R) = 0.58 / 0.59 = 0.983.
Therefore, the probability of a student doing well on an exam given that the student spends time reading is approximately 0.983 or 98.3%.
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if the land was fenced on sides ab and bc, determine the area in which the goat can graze inside the land abc.
The area in which the goat can haze inside the land with the shape of a triangle ABC = 16m²
How to calculate the area of a triangle?The formula that is used to calculate the area of a triangle = 1/2 base ×height.
where base of a triangle = 4m
The height of the triangle = 8m
The area of the triangle = 1/2× 4× 8
= 16m².
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Complete question:
An unfenced grassland is in the form of a right triangle ABC with AB=4m, BC=8m, and AC as the hypotenuse.if the land was fenced on sides ab and bc, determine the area in which the goat can graze inside the land abc.
The area in which the goat can haze inside the land ABC is; 16m²
How to calculate the area of a triangle?The formula that is usually applied to calculate the area of a triangle is expressed as;
Area = ¹/₂ * base * height.
The parameters are;
Base of a triangle = 4m
Height of the triangle = 8m
Thus,
Area of the triangle ABC = ¹/₂ * 4 * 8
Area = 16m².
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Complete question is:
An unfenced grassland is in the form of a right triangle ABC with AB=4m, BC=8m, and AC as the hypotenuse. If the land was fenced on sides ab and bc, determine the area in which the goat can graze inside the land abc.
5
Find the equation of the straight line that goes through the point
(4, 3) and is perpendicular to the line y = 2x+11, Give the answer
in the form y= mx + C.
Answer:
\(y= -\frac{1}{2}x+5\)
Step-by-step explanation:
When lines are perpendicular to each other, the slopes are negative reciprocals.
The slope of line y=2x+11 is 2. The negative reciprocal of that is -1/2.
Next, plug in the x and y values so we can get b (y intercept).
\(3= -\frac{1}{2}(4)+b\\ 3=-2+b\\5=b\)
Our equation is \(y= -\frac{1}{2}x +5\)
suppose that the slope parameter in a simple linear regression model is β1 = 3.52. what does this suggest about the nature of the relationship between x and y?
A slope parameter of β1 = 3.52 in a simple linear regression model suggests that there is a positive and direct relationship between the independent variable (x) and the dependent variable (y).
Specifically, for every one unit increase in the independent variable (x), the dependent variable (y) is expected to increase by an average of 3.52 units. This indicates a positive linear association between x and y, implying that as x increases, y tends to increase as well.
The magnitude of the slope parameter (3.52) also indicates the steepness of the relationship. A larger slope suggests a stronger relationship, indicating that the change in y for a given change in x is relatively large.
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in preparation, you identify all possible outcomes and the probability of each outcome. which approach to negotiation are you using? game theory individual differences cognitive approach situational characteristics
By identifying all possible outcomes and the probability of each outcome the negotiation used here is Game theory.
The study of mathematical models of strategic interactions between rational beings is known as game theory and it has uses in computer science, logic, systems science, and all branches of social science.
The most well-known application of game theory is The Prisoner's Dilemma for instance take two offenders who were detained following an arrest as an example. The prosecution lacks concrete proof to prove their guilt. Officials, however, take the inmates out of their isolation cells and question each one separately in order to extract a confession.
The area of mathematics known as "game theory" is concerned with the analysis of such games. Classical game theory and combinatorial game theory are the two primary subfields of game theory. Traditional game theory examines games where participants can move, wager, or strategize all at once.
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Help please -math- I’m lazy
Please help
Write the equation in standard form
The equation 7y = 4x - 7.
What is an equation?
An equation is a statement that asserts the equality of two mathematical expressions. It contains an equals sign (=) and typically has variables, constants, and mathematical operations on both sides.
Equations are used in many areas of mathematics, science, and engineering to represent relationships between variables and to solve problems. In algebra, equations are often used to solve for the values of variables that make the equation true.
We have;
y = 4/7x - 1
Multiplying through by 7
7y = 4x - 7
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The square below has an area of x^2+10x+25 square meters. What expression represents the length of one side of the square?
Answer:
(x+5) m
Step-by-step explanation:
Given that,
The area of a square shape, \(x^2+10x+25\)
We need to find the expression for the length of one side of the square.
The area of a square shaped object is given by :
\(s=x^2\)
x is side of the square
\(s=\sqrt{A} \\\\s^2=x^2+10x+25\\\\=x^2+5x+5x+25\\\\=x(x+5)+5(x+5)\\\\=(x+5)^2\\\\s=(x+5)\)
So, the sides of the square is (x+5) m.
Answer:
(x−5) ^2
Step-by-step explanation:
What value of x makes this equation true?
12x - 15 = 6 - 3x
7/3
5/7
3/7
7/5
Write this from least to greatest:
0.2, 1/4, 1/12, 22%
Answer:
1/12, 0.2, 22%, 1/4
Step-by-step explanation:
1/12 = 0.083333
1/4 = 0.25
22% = 0.22
0.2
So: 1/12, 0.2, 22%, 1/4
three plus twice the number of baseball cards
Answer:
2x+3
Step-by-step explanation:
Twice means being multiplied by 2 and you have to add three after.
If this helps please mark as brainliest
Determine the no-arbitrage price today of a 5 year $1,000 US
Treasury note with a coupon rate of 2% and a YTM of 4.25% (APR) (to
the penny)
A. $739.65
B. $900.53
C. $819.76
D. $89
The no-arbitrage price today of a 5-year $1,000 US Treasury note with a 2% coupon rate and a 4.25% yield to maturity is approximately $908.44, closest to option B: $900.53.
To determine the no-arbitrage price of a 5-year $1,000 US Treasury note with a coupon rate of 2% and a yield to maturity (YTM) of 4.25%, we can use the present value of the future cash flows.First, let's calculate the annual coupon payment. The coupon rate is 2% of the face value, so the coupon payment is ($1,000 * 2%) = $20 per year.The yield to maturity of 4.25% is the discount rate we'll use to calculate the present value of the cash flows. Since the coupon payments occur annually, we need to discount them at this rate for five years.
Using the present value formula for an annuity, we can calculate the present value of the coupon payments:PV = C * (1 - (1 + r)^-n) / r,
where PV is the present value, C is the coupon payment, r is the discount rate, and n is the number of periods.
Plugging in the values:PV = $20 * (1 - (1 + 0.0425)^-5) / 0.0425 = $85.6427.
Next, we need to calculate the present value of the face value ($1,000) at the end of 5 years:PV = $1,000 / (1 + 0.0425)^5 = $822.7967.
Finally, we sum up the present values of the coupon payments and the face value:No-arbitrage price = $85.6427 + $822.7967 = $908.4394.
Rounding to the penny, the no-arbitrage price is $908.44, which is closest to option B: $900.53.
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Please Answer Quickly!!!!!
Divide the following polynomials. Then place the answer in the proper location on the grid. Write your answer in order of descending powers of x. Do not include parentheses in your answer.
(x^5 + y^5) ÷ (x + y)
Answer:
x^4 + x^4 or x^4 - x^3 + x^2y^2 - xy^3 + y^4
Step-by-step explanation:
Using matrix to solve this word problem.
Answer: the attachment wont load
Step-by-step explanation:
The function g(x) = x2 is transformed to obtain function h.
h(x) = g(x + 7).
Which statement describes how the graph of his different from the graph of g?
OA
The graph of his the graph of g horizontally shifted right 7 units.
B.
The graph of his the graph of g vertically shifted up 7 units.
OC.
The graph of his the graph of ghorizontally shifted left 7 units.
The graph of his the graph of g vertically shifted down 7 units.
Answer:
Step-by-step explanation:
If the function is transformed to obtain the function , then a transformation that affects the x-variable has taken place.
Recall that a transformation that adds t units to the variable "x" represent graphically the horizontal displacement of the original function,"t" units to the left.
Therefore, the correct answer is:
"The graph of his the graph of g horizontally shifted left 7 units."
which agrees with option "B" in your given list.
A group of workers took 123.6 hours to
complete a job. A smaller group of workers
will complete the same job, but it will take
them 1.15 times as long as it took the first
group. How long did it take the smaller group
to complete the job?
Answer:
137.814 hours
Step-by-step explanation:
We simply need to multiply the time by the multiplier given in order to find the time it took for the smaller group
123.6 hours is the time and 1.15 is the multiplier
123.6x1.115=137.814 hours
How to prove Rank(AB)â¤min(Rank(A),Rank(B))Rank(AB)â¤min(Rank(A),Rank(B))?
To prove this \(Rank(AB)â¤min(Rank(A),Rank(B))Rank(AB)â¤min(Rank(A),Rank(B))\) , we use matrices.
If A and B are matrices, then to prove that Rank(AB) ≤ min(Rank(A), Rank(B)), the rank of the matrix is the maximum number of linearly independent rows or columns.
You can use the fact that there is Inside is a matrix.
Suppose A is an m-by-n matrix and B is an n-by-p matrix. In this case, product AB is an m-by-p matrix.
Let rA be the rank of A and rB be the rank of B.
First, note that the column space of AB is a subspace of the column space of A. This is because the columns of AB are linear combinations of the columns of A.
Thus, the column-space dimension of AB is at most equal to the column-space dimension of A equal to rA.
Similarly, the row space of AB is a subspace of the row space of B. This is because the rows of AB are linear combinations of the rows of B.
Therefore, the row-space dimension of AB is at most equal to the row-space dimension of B equal to rB.
Now consider the null space of AB. ABx = 0 if x is a vector in the null space of AB. This means that Bx is in A's null space.
Therefore, the dimension of the nullspace of AB is at least the dimension of the nullspace of A, and by the rank zeroness theorem, the dimension of the nullspace of A is n-rA.
Therefore, the dimension of the null space of AB is at least n - rA.
Similarly, consider the null space of B. ABx = 0 if x is a vector in the null space of B. This means that Ax is in the null space of AB.
Therefore, the dimension of the null space of B is at least the dimension of the null space of AB. By the rank nullity theorem, the dimension of the null space of AB is p − rB.
Therefore, the dimension of the null space of B is at least p − rB. Combining these inequalities gives:
Disabled (AB) ≥ n - rA
invalid (AB) ≥ p - rB
Adding these inequalities gives:
2nullity(AB) ≥ (n + p) - (rA + rB)
The rank zero theorem tells us that:
Invalid (AB) = n - Rank (AB) = p - Rank (AB)
So the above inequality can be rewritten as
2(Rank(AB)) ≤ (n + p) - (rA + rB)
Adding rA + rB on both sides gives:
2(Rank(AB)) + rA + rB ≤ n + p
Since rank(AB), rA, and rB are all non-negative integers,
2(Rank(AB)) ≤ n + p
Dividing both sides by 2 gives:
rank(AB) ≤ (n + p)/2
Both n and p are non-negative integers, so
(n + p)/2 ≤ min(n, p)
For this:
rank(AB) ≤ min(n, p) = min(rank(A), rank(B))
This completes the proof.
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At the grocery store, Miranda weighs 2 pound of green beans for a recipe she wants to make. How many ounces of green beans did Miranda weigh?
Answer:
32
Step-by-step explanation:
Hope it helps!!
2. A computer programmer earns a regular hourly rate of P50. 0. If he
worked 42. 75 hours in a week, how much did he earn?
pls answer this with solution a really need the solution
Answer:
b
Step-by-step explanation:
42.75+4=6
5. How many variables may be tested legitimately in any one experiment?
a. as many as a physicist can
handle
b. three
c. one
d. five
The only one variable is tested legitimately in any one experiment.
Thus option C is the correct.
According to the statement
we have to find that the number of variables may be tested legitimately in any one experiment.
So, For this purpose, we know that the
variable is the In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation.
And we also know that at a one time there is a one experiment take place
and in one experiment we can find all the details about the only one variable rather than the more than the one.
And that's why in the experiment we can test one variables tested in the experiment.
So, The only one variable is tested legitimately in any one experiment.
Thus option C is the correct.
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9. Bowler World charges $5.00 to rent
shoes and $1.10 per game. Lucky
Spares charges $3.00 for shoes and
$1.50 per game.
Part A
Write a system of equations to
represent the situation, using g for
number of games and c for cost.
Answer:
It should be $10.50
Step-by-step explanation:
We just need the equations to equal the same, which is y.
5+1.10x=y
3+1.50x=y
5+1.10x= 3+1.50x
Lets get x by itself by subtract 3 from both sides.
2+1.10x= 1.50x
Now subtract 1.10x from both sides.
2= 0.4x
Now divide each side by 0.4
5=X
So, at 5 games they're the same cost. Let's find the cost.
5+1.1(5)= 5+5.5=10.50
3+1.5(5)=3+7.5= 10.50
Hope this helps, (don't give brainliest to people who got the answer from a file)
Answer:
the system of equations is:
Step-by-step explanation:
c=1.10g+5
c=1.50+3
What is the value of x when 1 3 x = 9 1 3 ?
Answer:
70.2307692308
Rounding to the nearest whole number is 70
70.23 is the best answer
Step-by-step explanation:
Divide 913 and 13 to get the answer
What is the equivalent expression for 8w - 16?
Answer:
8(w-2)
this is equivlent
The equivalent expression for (8w - 16) = 8(w - 2)
What is an Expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given an Expression = (8w - 16)
(8w - 16) = 8(w - 2)
Hence, the equivalent expression for (8w - 16) = 8(w - 2)
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BRAINLIEST
What is the value of x?
Answer:
the value of x is 16, I had this test and the answer was 16
Let A={1,2,3,4,5,6} and B={4,6,8}. Which of the following is an element of A∩B?Select the correct answer below:3682
Given the following set:
A = {1,2,3,4,5,6}
B = {4,6,8}
∩ means "intersection" of two sets. In other words, the data that the two sets have in common.
Checking the given sets,
A = {1,2,3,4,5,6}
B = {4,6,8}
A∩B or A and B have a common data of 4 and 6. These two are the intersections of A and B.
Among the given choices, only Choice B is correct which is 6.
Therefore, the answer is CHOICE B : 6
7 Valley Video rented 1540 videos in July.
Based on the circle graph:
a. How many action videos were
rented?
b. How many more
comedies than
dramas were
rented?.
c. What percent
of the videos
rented were
in the "other"
category?
Valley Video
July Rentals
Action
Comedy
25%
38%
81
Drama
23%
Other
Answer:
10 action 45 rented 50 percent
Step-by-step explanation:
Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1. 50μm2. Convert this to square meters.
Converting 1. 50μm² to square meters gives 1. 5 × 10 ^-11
What is conversion of units?Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.
From the information given, we are to convert micrometers to square meters
Note that:
1 micrometer ( μm²) = 10^-12m²
Given 1. 50μm² = xm²
cross multiply
x = 1. 50 × 10^-12
x = 1. 50 × 10^-12
x = 1. 50 × 10^-12
x = 1. 5 × 10 ^-11 square meters
Thus, converting 1. 50μm² to square meters gives 1. 5 × 10 ^-11
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equivalents are things that are equal or have the same value. in mathematics, for example, the fraction 3/4 and the decimal ______________ are the same value
When we say two values are equivalent, we mean that their numerical values are the same. In mathematics, transforming one value into another that is more useful in a specific context is one technique to demonstrate that two values are comparable.
In this instance, the values of the fraction 3/4 and the decimal 0.75 are the same. This can be demonstrated by dividing the numerator (3) by the denominator (4) using long division or a calculator to represent the fraction 3/4 in decimal form.
The following steps can be used to breakdown the conversion of a fraction to a decimal:
Divide the numerator (3) by the denominator (4). This division yields a value of 0.75.With a point and as many decimal places as necessary, write the division's result as a decimal number. The outcome in this instance is 0.75.Comparing the decimal number and the fraction, you can see that they both reflect the same value and are comparable.Therefore, In mathematics, for example, the fraction 3/4 and the decimal 0.75 are the same value.
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