The square of six less than seven times a number is four as an algebraic expression.
The square means a number to the second power.
six less than seven times a number
Six less = minus 6 (-6)
Seven times a number = a number can be x, multiplied by 7.
Is four means equal to four.
All together:
(7x-6)^2=4
ITS DO TODAY HELPPPPPPP
The difference in the addition of both fractions is that they have different lowest common multiples.
How to solve Fraction Problems?We want to add the fraction expression given as:
¹/₂ + ¹/₄
Taking the Lowest common multiple of 8, we have:
(4 + 2)/8 = 6/8
However, for the second fraction expression, we have:
¹/₂ + ¹/₃
Taking the lowest common multiple which is 6, we have:
(3 + 2)/6 = 5/6
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The Directed Disjoint Paths Problem is defined as follows. We are given a directed graph G
and k pairs of nodes (s1, t1), (s2, t2), . . . , (sk, tk). The problem is to decide whether there exist node
disjoint paths P1, P2, . . . , Pk so that Pi goes from si to ti.
Show that Directed Disjoint Paths is NP-complete.
To show that the Directed Disjoint Paths Problem is NP-complete, we can use a reduction from the well-known NP-complete problem of Hamiltonian Path, which is defined as follows: given a graph G and a starting node s, does G contain a simple path that visits every node exactly once and ends at s?
We can reduce the Hamiltonian Path problem to the Directed Disjoint Paths Problem as follows. Given a graph G and a starting node s for the Hamiltonian Path problem, we can construct a new graph G' as follows:
For each node v in G, create two new nodes v1 and v2 in G'.For each edge (u,v) in G, create an edge (u2,v1) in G'.For each node v in G, create an edge (v1,v2) in G'.For each node v in G, create an edge (v2,s1) in G' if v is not the starting node s, or an edge (v2,s2) in G' if v is the starting node s.Now, consider the k pairs of nodes (s1,t1), (s2,t2), ..., (sk,tk) in G', where si and ti are the corresponding nodes in G' for the ith node in G. We can see that G contains a Hamiltonian path from s to s if and only if G' contains k node-disjoint paths from si to ti for all i.
Since the Hamiltonian Path problem is NP-complete, and we have shown that it can be reduced to the Directed Disjoint Paths Problem in polynomial time, it follows that the Directed Disjoint Paths Problem is also NP-complete.
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Find the value of x that makes the equation true:
x + 3 = 4
Answer:
x = 1
Step-by-step explanation:
Subtract 3 from both sides
x+ 3 - 3 = 4 - 3
gives x=1
Complete the table for the given rule.
Rule: y is 0.750.750, point, 75 greater than x
x y
0
3
9
Answer:
está inglês não dá para entende
Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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what is an equation of the line that passes through the point
(
8
,
−
8
)
(8,−8) and is perpendicular to the line
4
x
−
3
y
=
18
4x−3y=18?
9514 1404 393
Answer:
3x +4y = -8
Step-by-step explanation:
The perpendicular line will have the x- and y-coefficients swapped, and one of them negated. The constant in the equation will be such that the given point values will satisfy the equation.
4x -3y = 18 . . . . . . given equation
3x +4y = 3(8) +4(-8) = -8 . . . . swap coefficients, used point coordinates
3x +4y = -8 . . . . . the equation of the line you want
Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
35%of students wear glasses.There are 14 students who wear glasses.How many pupils are there in the class?
Answer: 40 pupils
Step-by-step explanation:
35 14
------- = --------
100 ?
find the denominator.
multiply 14 and 100:
14 x 100 = 1400
divide 1400 by 35
1400/35 = 40
Therefore there are 40 students
A rectangluar swimming pool 25 feet long, 15 feet wide, and 7 feet deep is filled with water to a depth of 6 feet. The weight density of water is 62.4 lb ft 3 lb/ft^3. Calculate the work required to pump all of the water out over the top.
___________ ft-lb
9514 1404 393
Answer:
491,400 ft·lb
Step-by-step explanation:
The mass of the water is ...
M = Vρ = LWHρ = (25 ft)(15 ft)(7 ft)(62.4 lb/ft³) = 163,800 lb
The average depth is 3 ft, so the work required is equivalent to that required to raise this mass 3 ft.
W = (3 ft)(163,800 lb) = 491,400 ft·lb
What are the slope and y-intercept on the graph of the linear equation on the grid?
Answer:
simple look at y intercept then look at slope or you can solve two points by using the formula y2-y1/x2-x1
but your formula is
y =1/2 +5 so b would be your answer
The statement says: You find a partial report of a sturdy that investigated the relationship between self esteem and depression. You see they conducted a one-tailed Pearson’ se correlation with 52 people, and that the r = -0.25, calculate and report the coefficient of determinationWhat is the coefficient of determination of person’s correlation with 52 people and that the r = -0.25What is the degrees of freedom?
Given:
Sample size, n = 52
correlation coefficient, r = -0.25
Let's find the coefficient of determination of the person's correlation.
To find the coefficient of determination, we have:
coefficient of determination = r²
Thus, we have:
coefficient of determination = r² = -0.25² = 0.0625
Therefore, the coefficient of determination is 0.0625
To find the degrees of freedom, apply the formula:
df = n - 2
Where
df is the degrees of freedom
n is the sample size = 52
Hence, we have:
df = 52 - 2 = 50
The degrees of freedom is = 50
ANSWER:
• Coefficient of determination = 0.0625
,• Degrees of freedom = 50
The prices of paperbacks sold at a used bookstore are approximately Normally distributed, with a mean of $7.85 and a standard deviation of $1.25.
Use the z-table to answer the question.
If the probability that Joel randomly selects a book in the D dollars or less range is 56%, what is the value of D?
$4.46
$7.75
$8.04
$8.10
(C) 8.04
Answer:
The answer you want is indeed, (C).
8.04
ED2021
Answer:
C) 8.04
Step-by-step explanation:
edge 2023
Nikhil and Mae work at the same company. Nikhil has been at the company 4 time+s as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario: x = 4y x = 8 + 2y How many years has each person been employed by the company? Nikhil has been with the company for 16 years, while Mae has been there for 4 years. Nikhil has been with the company for 24 years, while Mae has been there for 6 years. Nikhil has been with the company for 20 years, while Mae has been there for 5 years. Nikhil has been with the company for 12 years, while Mae has been there for 3 years
Applying the system of equations given, we can conclude that: a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
How to Apply a System of Equations?To solve the system of equations, let's substitute the value of x from the first equation into the second equation:
x = 4y
8 + 2y = 4y
Simplifying the equation, we get:
8 = 2y
Dividing both sides by 2:
4 = y
Now, substitute the value of y back into the first equation to find x:
x = 4y
x = 4(4)
x = 16
Therefore, Nikhil has been employed by the company for 16 years, and Mae has been employed for 4 years.
The correct answer is option a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
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Using a profit P1 of $5,000, a profit P2 of $4,500, and a profit P3 of $4,000, calculate a 95% confidence interval for the mean profit per customer that SoftBus can expect to obtain. (Round your answers to one decimal place.) Lower Limit Upper Limit
Answer:
Confidence Interval
Lower Limit = $4,233.3
Upper Limit = $4,766.7
With 95% confidence, the mean profit per customer that SoftBus can expect to obtain is between $4,233.30 and $4,766.7 based on the given sample data.
Step-by-step explanation:
The z-score of 95% = 1.96
Profit Mean Square Root
Difference of MD
P1 $5,000 $500 $250,000
P2 4,500 0 0
P3 4,000 -500 $250,000
Total $13,500 $500,000
Mean $4,500 ($13,500/3) $166,667 ($500,000/3)
Standard Deviation = Square root of $166,667 = 408.2
Margin of error = (z-score * standard deviation)/n
= (1.96 * 408.2)/3
= 266.7
= $266.7
Confidence Interval = Sample mean +/- Margin of error
= $4,500 +/- 266.7
Lower Limit = $4,233.3 ($4,500 - $266.7)
Upper Limit = $4,766.7 ($4,500 + $266.7)
(7x + 5) - (3x + 2) -- Simplify the expression. Please type a space on both sides of the + sign.
Answer:
The answer is 4x + 3
Step-by-step explanation:
(7x + 5) - (3x + 2)
7x + 5 – 3x – 2
Combine like terms,
7x – 3x + 5 – 2
4x + 3
Thus, The answer is 4x + 3
_______________________________
If you want to find the value of x then,
4x + 3 = 0
4x + 3 – 3 = – 3
4x/4 = – 3/4
x = – 3/4
Here, The value of x is – 3/4
-TheUnknownScientist 72
A toy company is going to make an action figure of a super hero. The super hero is 6 ft tall. They are using the scale of 3 inches = 2 ft. How tall will the action figure be?
Answer:
9 inches
Step-by-step explanation:
Riley is saving up to buy a new television. She needs a total of $1,397.68. Riley has saved $200.08 already and earns $79.84 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
Answer:
14
Step-by-step explanation:
i uses a calculator and kept adding up
18 ABCDEFGH is a cuboid. AB= 7.3 cm CH= 8.1 cm Angle BCA = 48° F A E D G B Find the size of the angle between AH and the plane ABCD Give your answer correct to 1 decimal place. H C (Total for Question 18 is 4 marks)
The size of the angle between AH and the plane ABCD is approximately 74.4°, rounded to one decimal place.
To find the size of the angle between AH and the plane ABCD in the given cuboid, we can use the concept of three-dimensional geometry.
First, let's consider the right triangle BCA. The given angle BCA is 48°, and we know that the length of AB is 7.3 cm. Using trigonometric functions, we can find the length of BC:
BC = AB * sin(BCA)
BC = 7.3 * sin(48°)
BC ≈ 5.429 cm
Now, let's look at the right triangle BAH. The length of AH is given as 8.1 cm. We can find the length of BH by subtracting BC from AB:
BH = AB - BC
BH ≈ 7.3 - 5.429
BH ≈ 1.871 cm
Next, let's consider the right triangle ABH. We want to find the angle BAH, which is the complement of the angle between AH and the plane ABCD. We can use the cosine function to find the angle BAH:
cos(BAH) = BH / AH
cos(BAH) ≈ 1.871 / 8.1
BAH ≈ arccos(1.871 / 8.1)
BAH ≈ 74.4°
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The graph of the linear function is shown on the grid .What is the slope of the line ?.
A) -10
B) -3/2
C) -2/3
D) 2
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Question 3 (2 points)
Find the area of the composite figure. Show work to get bonus points.
The area of the shaded portion of the composite figure could be easily 25*25 - 1/2*13*10 that is 625 - 65 = 560 feet
What is meant by the term Area?When referring to a two-dimensional space or points, in mathematics, the term "area" is used. It refers to a region's or a flat object's size, such a square or rectangle. The area of a form is determined in geometry by dividing the length by the breadth. For example, the area of a square with a side length of 4 units is 4 x 4 = 16 square units. Square units, such as square inches, square feet, or square meters, are used to measure area. Triangles (1/2 x base x height), circles ( x radius squared), and trapezoids (1/2 x (base 1 + base 2) x height) are other basic geometric forms with associated area calculations.
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find the perimeter of the composite figure. 11 19.5 16 m 18m
The perimeter of the composite figure that is given above would be = 96.6m.
How to calculate the perimeter of the given figure?To calculate the perimeter of the given shape, it has to be divided into two.
First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)
Where ;
length = 16m
width = 11m
perimeter = 2(16+11)
= 2×27
= 54m
The second shape:
Perimeter of triangle = l+w+h
where;
length = 18-11 = 7m
width = 16m
height = 19.5m
perimeter = 7+16+19.5 = 42.5m
Therefore, the perimeter of the shape = 54+42.5 = 96.6m
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Write 35/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
3.88 (put a bar on top of '88')
Step-by-step explanation:
7. A floor is covered by 800 tiles measuring 10 squared cm. How many square tiles of side 8 cm would be needed to cover the same floor?
Answer:
1000 tiles
Step-by-step explanation:
Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.
The car travels 440 miles in 8 hours. What is the unit rate?
Answer:
55 miles per hour
Step-by-step explanation:
Hope it helps :)
Answer:
440/8
Step-by-step explanation:
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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A city has a population of 160,000 people. Suppose the population grows by 5% each
year. What will the population be after 10 years? Round your answer to the nearest whole
number
Question 1 of 5 Which number line shows the solutions to x < 5? OA. -3 -6 -4 -2 0 2 4 6 8 OB. O C. -8 -6 -4 -2 0 2 4 6 8 -8-6-4-2 0 2 4 6 8 OD. 864 2 0 2 4 6 8
The number line that shows the solutions of x < 5
B. O What is number line?A number line is a visual representation of the real numbers, ordered from left to right, with zero in the middle. It is typically a straight line that extends infinitely in both directions, with evenly spaced markings that represent specific points along the line.
The solution of x < 5 should consist of number less than 5
The inequality used is less than and hence should have values saying less than
Other options has numbers more than 5 such as 6 except option B
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Please answer thank you.
Answer:
The answer is C.
Step-by-step explanation:
there are 15 picecs of fruit in a bowl and 6 of them are apples. what percentage of the pieces of fruit in the bowl are apples
Answer:
0.06 %
Step-by-step explanation: