Answer:
A.
B.✅
C.✅
D.✅
E.
F.✅
Step-by-step explanation:
[tex](4x-1)² = 11 \\ 4x-1 = \sqrt{11 } \\ 4x = \sqrt{11} + 1 \\ x = \frac{ \sqrt{11} + 1 }{4} [/tex]
What is 9+2 plus
For it
Answer:
11
Step-by-step explanation:
9 + 2 = 11
Best explanation I can give for this.
Answer: 11
Step-by-step explanation: bc i used a calculater
Pigeonhole suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. is the following statement true or false:
Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE
What is a sophomore?A sophomore in the United States is a student in their second year at an educational institution, usually a secondary school or a college or university, but also other types of post-secondary educational institutions. A sophomore in high school is equivalent to a tenth-grade or Class-10 student.In sports, a sophomore is a professional athlete in their second season.As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.
So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.
Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.
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The complete question is given below:
Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:
"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."
Suppose that for a function g (x), g (4) = 7. Select all of the statements that are true.
A.
B.
C.
D.
E.
4 is in the range of g.
For a value a, it is possible that g (a) = 4.
For a value y, it is possible that g (4) = y.
The point (4,7) is on the graph of y = g(x).
The point (7,4) is on the graph of y = g(x).
What is the pattern of these numbers 8, 7, 5, 2?
Answer: The pattern is that you -1 then -2 then -3.
Step-by-step explanation:
If you got 9, 8, 6, 3. You would be subtracting 1 then 2 then 3 then 4 then on and on.
el ortocentro y varicentro de un triángulo equilátero son el mismo punto
Answer: The orthocenter and varicenter of an equilateral triangle are the same point?
Step-by-step explanation
Answer: De nuevo, puedes ver que el baricentro, el ortocentro y el circuncentro son todos el mismo punto para un triángulo equilátero. Tenemos un centro más para comparar, el incentro. Como habrás sospechado, el incentro es el mismo punto que los otros tres para un triángulo equilátero.
Step-by-step explanation:
AD = 6x - 4 and AC = 4x - 3
Answer:
CD= 2x-1
Step-by-step explanation:
AD = 6x-4
AC = 4x - 3
CD= AD- AC
CD= 6x-4 - (4x - 3)
CD= 6x - 4 - 4x +3
CD= 2x -1
Therefore, the value of CD= 2x-1
The profits shown in retained earrings can be used for_
A. Predicting future income.
B.re-investment into the company
C. Buying a house.
D. Investing into other companies.
The profit shows in retained earning can be used for reinvestment into the company
There are many measures and uses of earnings. Some analysts like to calculate earnings before taxes (EBT), also known as pre-tax income. Some analysts prefer to see earnings before interest and taxes (EBIT). Still, other analysts, mainly in industries with a high level of fixed assets, prefer to see earnings before interest, taxes, depreciation, and amortization, also known as EBITDA.
Earnings that deviate from the expectations of the analysts that follow that stock can have a great impact on the stock's price, at least in the short term. For instance, if analysts on average estimate that earnings will be $1 per share and they come in at $0.80 per share, the price of the stock is likely to fall on that "earnings miss."
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a) x³y²if x = 2 and y = 4
Answer:
128
Step-by-step explanation:
x³y²if x = 2 and y = 4
x³*y²
[tex](2)^{3} * (4)^{2}[/tex]
(2*2*2)*(4*4)
(8)*(16)
128
Show ([tex]\frac{\sqrt{11} }{6} ,[/tex][tex]\frac{5}{6}[/tex]) is or is not on the unit circle. State the unit circle definitions and definitions in terms of other trig functions.
By using coordinates in rectangular form and Pythagorean theorem, we conclude that the point (x, y) = (√11 / 6, 5 / 6) is on the unit circle as its norm is equal to 1.
Is a given point on Cartesian plane lying on the unit circle?
We find a point in rectangular form, that is, a point of the form (x, y). Unit circles are circles with a radius 1 that are commonly used to represent graphically angles. The given point is in the units if and only if its norm is equal to 1. The norm of the point is determined by using the Pythagorean theorem:
r = √[(√11 / 6)² + (5 / 6)²]
r = √[(11 / 36) + (25 / 36)]
r = √(36 / 36)
r = √1
r = 1
By using coordinates in rectangular form and Pythagorean theorem, we conclude that the point (x, y) = (√11 / 6, 5 / 6) is on the unit circle as its norm is equal to 1.
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7 gifts are to be distributed among 10 children. how many distinct results are possible if no child is to receive more than 1 gift?
Is it possible to have a function f defined on [ 4 , 5 ] and meets the given conditions? f is continuous on [ 4 , 5 ], is non-constant, and takes on only integer values.
No, It is not possible that f is continuous on [ 4 , 5 ] is non-constant, and takes on only integer values.
Here,
A function f defined on [ 4 , 5 ].
We have to find, is it possible to f is continuous on [ 4 , 5 ], is non-constant, and takes on only integer values.
What is Intermediate value theorem?
Intermediate value theorem states that if “f” be a continuous function over a closed interval [a, b] with its domain having values f(a) and f(b) at the endpoints of the interval, then the function takes any value between the values f(a) and f(b) at a point inside the interval.
Now,
A function f defined on [ 4 , 5 ].
Assume that the function,
f : [ 4 , 5 ] → Z is a non constant continuous function.
Then, f(4) and f(5) both are integers and not equal to each other.
By, Intermediate value theorem;
Function f takes all real numbers between f(4) and f(5) at least once.
These would contain all non integers rational and irrational number between f(4) and f(5), contradicting the assumption that function takes only integer values.
Hence, It is not possible that f is continuous on [ 4 , 5 ] is non-constant, and takes on only integer values.
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A board is 17 5/8 in. long. If it must be divided into seven pieces of equal length, how long must each piece be?
Three friends go to a store to rent games and movies.
Calvin rents 3 movies and 2 video games and spends a
total of $25. Samantha rents 2 movies and 1 video game
and spends a total of $14.75.
Answer:
Let x = the cost of a movie
Let y = the cost of a game
Using these variables, we can set up equations.
3x + 5y = 42 eq1
9x + 7y = 72 eq2
We have here a system of equations, where we have two or more equations with two or more different variables. We use the elimination method to solve for the variables.
Multiply eq1 by 3. Keep eq2.
9x + 15y = 126 eq1
9x + 7y = 72 eq2
Subtract eq2 from eq1 to eliminate the x terms.
8y = 54
y = 6.75
This rental cost of one video game is $6.7
Substitute the value of y into eq1 to solve for x. This will give you the rental cost of one movie.
Step-by-step explanation:
pa brainly po
The cost of movie is $4.5 and cost of video game is $5.75.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the cost of movie and y be the cost of video game
Calvin rents 3 movies and 2 video games and spends a total of $25.
3x+2y=25...(1)
Samantha rents 2 movies and 1 video game and spends a total of $14.75.
2x+y=14.75
y=14.75-2x..(2)
Substitute (2) in equation (1)
3x+2(14.75-2x)=25
3x+29.5 -4x=25
-x+29.5 = 25
Subtract 29.5 from both sides
-x=25-29.5
x=4.5
Now let us plug in x value in equation (2)
y=14.75-2(4.5)
y=5.75
Hence, the cost of movie is $4.5 and cost of video game is $5.75.
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Simplify the expression.
12e +6-2e + 5
Answer:
10e + 11
Step-by-step explanation:
12e + 6 - 2e + 5 ← collect like terms
= (12e - 2e) + (6 + 5)
= 10e + 11
Find the complement of the set given that u = {0, 1, 2, 3, 4, 5, 6, 7, 8}. (enter your answers as a comma-separated list.) the set of odd natural numbers less than 8
{ 0,2,4,6,8} is the complement of the set.
What is natural number in math?
Normative Numbers The numbers we use to count or place things in order are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11. Complete numbers the range of numbers that includes zero and natural numbers.Is zero a natural number?
0 is not a natural number, so no. As we all know, natural numbers are positive integers with a range of 1 to infinity. However, we get a number when we combine 0 with a positive integer like 10, 20, or another number.u = {0, 1, 2, 3, 4, 5, 6, 7, 8}
Odd number less than 8 = { 1,3,5,7 }
complement = {0, 1, 2, 3, 4, 5, 6, 7, 8} - { 1,3,5,7 }
= { 0,2,4,6,8}
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The following table shows the relationship between the cost of tickets to an amusement park and the number of people going to the park. Which graph best models the relationship in the table?
The first graph that we have in this question is the graph that can be used to model the relationship that we have in this table.
How to model the graph in the tableIn this table we can see that what we are having is a linear equation. First we have to check the slope that lies in any two of the points
This would be;
( 112.5- 75) / ( 3- 2) = 37.5 and
( 150 -112.50) / ( 4-3) = 37.50
We can have the equation of a straight line as: y = mx + c
y = 37.50x + c, x = 2
then c = 75 - 75 =0
When plotted on the graph we would have the first graph as the best solution. Hence option 1 is right
Option 1 best fits the graph
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∠A and angle B∠B are complementary angles. If m angle A=(x+13)m∠A=(x+13)
and m angle B=(7x+13)^∠B=(7x+13) then find the measure of angle B∠B
The value of angle B is 69°.
How to calculate the angle?It should be noted that the sum of a complementary angle is 90°.
Therefore, the value will be:
x + 13 + 7x + 13 = 90
8x + 26 = 90
Collect like terms
6
8x = 90 - 26
8x = 64
Divide
x = 64/8
x = 8
Angle B = 7x + 13
= 7(8) + 13
= 56 + 13
= 69
Angle B is 69°.
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2×3÷2+1+2×33 what's the answer
Answer: 70
Step-by-step explanation:
2×3÷2+1+2×33
PEMDAS, do all the multiplication first.
2×3 = 6, 2×33=66
Do division next.
6÷2=3
3+1+66=70
The expression
³√x²y³ = x²y³
where x and y are non-negative real numbers.
r, the exponent of X, is:
s, the exponent of y, is:
Using exponent power property, ³√x²y³ = x^r y^s, where x and y are non-negative real numbers.
r, the exponent of x, is: 2/3
s, the exponent of y, is: 1
What is Exponent power property?According to the Power of a Power Property, you can multiply the exponents if one exponent is increased to a higher exponent. This characteristic may be used to resolve the equation (3 x 2) 3.
³√x²y³ = x^r y^s
Cubing on both sides,
x²y³ = x^3r y^3s
As base is same, equating the powers
⇒ 2 = 3r; r = 2/3
⇒ 3 = 3s; s = 1
The correct question is -The expression
³√x²y³ = x^ry^s
where x and y are non-negative real numbers.
r, the exponent of X, is:
s, the exponent of y, is:
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Find the weighted average of a data set where 20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average of a data set is 36.
Here,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
We have to find the weighted average of a data set.
What is Weighted Average?
Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.
Now,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average is given by the formula;
[tex]x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}[/tex]
Hence,
The weighted average of a data set;
x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2
x = 360/10 = 36
Hence, The weighted average of a data set is 36.
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Randalstown Rugby Club play 20 matches and win 17 of the matches.
What percentage of the matches did Randalstown win?
Answer:
85%
Step-by-step explanation:
Total no. of matches played,
→ x = 20 matches
No. of matches they won,
→ y = 17 matches
Now the win percentage will be,
→ (y/x) × 100
→ (17/20) × 100
→ 0.85 × 100
→ 85%
Hence, the percentage is 85%.
Fritz can build a bookcase in 8 hours and Holly can build the same bookcase in 10 hours. After working together for 3 hours, Fritz leaves how long will it take holly to finish the bookcase by herself?
Holy will take 13/5 or 2.6 hours to finish the bookcase.
What is relation between time and work?The relation between time and work is
Work Done = Time Taken × Rate of Work ·
or, Rate of Work = 1 / Time Taken ·
or, Time Taken = 1 / Rate of Work ·
Now it is given that,
Time taken by Fritz to build a bookcase = 8 hours
So, Bookcase build by Fritz in 1 hour = 1/8
Similarly,
Time taken by Holly to build a bookcase = 10 hours
So, Bookcase build by Holly in 1 hour = 1/10
So, bookcase build in 3 hours
Fritz = 3/8
Holly = 3/10
Total bookcase build in 3 hours = 3/8 + 3/10 = 27/40
So. remaining work = 1 - 27/40 = 13/40
Thus, Time taken by Fritz to complete the bookcase = 8 * (13/40) hours
= 13/5 or 2.6 hours
Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.
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6. CalC1c02a 10 pts possible
Find the function g that is finally graphed
after the following transformations are ap-
plied in the order given to the graph of a
function f:
(1) reflect about the x-axis;
(2) shift down 2 units;
(3) stretch vertically by a factor 5;
(4) reflect about the y-axis.
1. g(x) = -10-5f(-x)
2. g(x) = 10-5f(x)
x 3. g(x) = 10 +5f(-x)
× 4. g(x) =
10 - 2ƒ(−x)
5. g(x) = 5f(x) - 10
help!!
The function g that is finally graphed after the transformations are applied is g(x) = -5f(-x) - 10
How to find the function g that is finally graphed after the following transformations are applied?The function is given as:
f(x)
Next, we apply the transformations
So, we have:
(1) reflect about the x-axis;
This is represented as
(x, y) = (x, -y)
So, we have
g(x) = -f(x)
(2) shift down 2 units;
This is represented as
(x, y) = (x, y - 2)
So, we have
g(x) = -f(x) - 2
(3) stretch vertically by a factor 5;
This is represented as
(x, y) = (x, 5y)
So, we have
g(x) = 5(-f(x) - 2)
Evaluate
g(x) = -5f(x) - 10
(4) reflect about the y-axis.
This is represented as
(x, y) = (-x, y)
So, we have
g(x) = -5f(-x) - 10
Hence, the function g that is finally graphed after the following transformations are applied is g(x) = -5f(-x) - 10
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Did Paul or pippa do it correctly
Triangle A'B'C' is the result of dilation about the origin with a scale factor of 2 / 3 on triangle ABC. (Translation: Pippa was right)
How to determine the scale factor to modify a right triangle
Herein we find a picture a graph with two proportional right triangles, which means that the small triangle is the consequence of a rigid transformation. The kind of rigid transformation used is a dilation around the origin, whose formula is shown below:
P'(x, y) = k · P(x, y)
Where k is the scale factor.
There is a dilation if and only if each point is scaled by the same factor. If we know that A(x, y) = (3, 9), A'(x, y) = (2, 6), B(x, y) = (9, 9), B'(x, y) = (6, 6), C(x, y) = (3, 3) and C'(x, y) = (2, 2), then the scale factor for each point is:
Point A
(2, 2) = k · (3, 3)
k = 2 / 3
Point B
(6, 6) = k · (9, 9)
k = 2 / 3
Point C
(2, 2) = k · (3, 3)
k = 2 / 3
Then, triangle A'B'C' is the result of dilation about the origin with a scale factor of 2 / 3 on triangle ABC.
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Write the equation of the line passing through the points (−3,9) and (−9,3).
Question content area bottom
Part 1
The equation of the line is enter your response here.
The equation of the line is y=x+12.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
The points are
(-3,9)=[tex](x_{1} ,y_{1} )[/tex] and (-9,3)=[tex](x_{2} ,y_{2} )[/tex]
The equation y = mx + c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).
We have to Write the equation of the line.
According to given question we have,
Equation of line passing through the point (-3,9) and (-9,3).
Slope of the line=
[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\\\=\frac{3-9}{-9+3} \\\\=\frac{-6}{-6} \\\\=1[/tex]
⇒y−9=1(x+3)
⇒y-9=x+3
Add 9 on both sides we get,
y=x+12
∴ y=x+12 which is in the form y=mx +c is the required equation.
Therefore, the equation of the line is y=x+12.
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y = x + 12
What is equation of a line?
The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane.
y-y₁=m(x-x₁)
mm₁=-1
Points (-3,9) and (−9,3).
Slope of the line m = (y₂ - y₁)/(x₂ - x₁)
m = (3-9)/(-9+3)
m = 1
Now equation of line passing through two points
(y - y₁)/(y₂ - y₁) = m*(x - x₁)/(x₂ - x₁)
(y - 9)/(3-9) = 1*(x - 3)/(-9+3)
y - 9 = x + 3
y = x + 12
Therefore, the equation of line is y = x + 12
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What is the converse of the following statement?
"If cows make milk, then chickens make eggs. "
Answer:
"If chickens make eggs, then cows make milk."
Step-by-step explanation:
Answer: A: If chickens make eggs, then cows make milk.
Step-by-step explanation: Hope that helped
question is attached to image
question 9a
pls help
Answer:
(x-2y){5-(x-2y)}
=(x-2y)(5-x+2y)
1.00 *10³ + 4.235 *10*
either 1042.35 or 1.04235*10^3
Find x and y. Please
Answer:
x = 4 y = 21
Step-by-step explanation:
16x - 23 = 10x + 1
16x - 10x = 23 + 1
6x = 24
24/6 = x
x = 4
16(4) - 23 = 41
41 + (180 - 62) + y = 180
41 + 118 + y = 180
y = 21
Kent has a collection of pennies and nickels with a value of $1.98. thenumber of pennies he has is five less than twice of nicleks. how many of each coin does kent have?
No. of pennies and nickels are 53 and 29 respectively
Let the number of pennies be x
Let the number of nickels be y
Value of pennies = $0.01x
Value of nickels = $0.05y
It is given that value of pennies and nickels = $1.98
Therefore the equation will be,
0.01x + 0.05y = 1.98
x + 5y = 198------(1)
Also, the number of pennies is five less than twice of nickels
x = 2y - 5
2y - x = 5 -------(2)
Adding equations (1) and (2) we get,
(x + 5y) + (2y - x) = 203
7y = 203
y = 29
Substituting the value of y in equation (1) we get,
x = 53
Therefore, the no. of pennies is 53 and the no. of nickels is 29
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