The value of f left parenthesis 3 right parenthesis is 45.
According to the statement
We have given that the F(x) = 5(x)^2
and we have to find the value when Sophia have a 3 right parenthesis.
So, Parenthesis are used in mathematical expressions to denote modifications to normal order of operations.
And now we have to find the value for 3 right parenthesis
And for this purpose we have to put the value X= 3 in the f(x) then
F(x) = 5(x)^2
F(3) = 5(3)^2
F(3) = 5*9
F(3) = 45.
here the value of 3 right parenthesis is 45.
So, The value of f left parenthesis 3 right parenthesis is 45.
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Please help
7. There are two towns, Appleville and Bananaville. Appleville had a population of 3,000
people in the year 2000. Bananaville had a population of 1,000 in the same year.
Appleville's population has increased by 500 each year since. Bananaville's population
increases by 30% each year.
a. Write an equation to represent the population of Appleville, a, in x years after the year
2000.
b. Write an equation to represent the population of Bananaville, b, in x years after the year
2000.
c. What year will the population of Bananaville be larger than the population of Appleville?
On solving the provided question, we can say that the solution of the System of Equation 3000 + 500x = 1000*
What is System of Equation ?A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.
A system of equations consists of two or more equations and looks for common answers. "A collection of equations fulfilled by the same set of variables is called a system of linear equations."
The point provides a singular solution to the system of equations if the two lines cross at the same location. There are an endless number of solutions in the situation when the two lines meet, and there is none in the case where the two lines are parallel.
The equation for Appleville is
3000 + 500x, in x years after the year 2000
The equation for Bananaville is
1000* , in x years after the year 2000
The solution of the equations
3000 + 500x = 1000*
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PLEASE HELP!!
Complete the transformations
and then enter the final
coordinates of the figure.
A" ([?], [?])
B" ([?], [?])
C" ([?], [?]
Complete transformations and then enter the final coordinates of the figure will be: A(2,2) B(1,-2) C (4,-4)
How to find A, B, C?If a point (x, y) is translated by 4 units horizontally right and 1 unit upwards, coordinates of the image point will be,
(x, y) → (x + 4. y + 1)
Therefore, vertices of the image triangle ABC will be,
A(2, 2) → A'(2+4, 2+1)
→ A'(6, 3)
B(5, -1) → B'(5+4, -1+1)
→ B'(9, 0)
C(1, -2) → C'(1+4, -2+1)
Then reflected across y-axis.
Rule for the reflection across y-axis will be,
(x, y) → (-x, y)
A'(6, 3) → A"(-6, 3)
B'(9, 0) → B"(-9, 0)
C'(5, -1) → C"(-5, -1) → C'(5, -1)
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What is the value of x?
The value of x is given as follows:
x = 13.7.
How to obtain the value of x?The value of x is obtained using similar triangles, which share these two following features:
Congruent angle measures.Proportional side lengths.The proportional side lengths are given as follows:
x and 16.6 and 7.Hence the proportional relationship of these lengths is given as follows:
x/16 = 6/7.
Meaning that the value of x is obtained as follows:
7x = 16 x 6
x = 16 x 6/7
x = 13.7.
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On Monday Marco practiced the piano for 7/10 hour. On Tueday he practiced for 1 and 5/6 hour he i uppoed to practice 1 and 1/4 hour each day
Marco practiced 1.13 hours more on Tuesday than on Monday.
In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. The numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, while the denominator is the number at the bottom.
Given that,
Marco practiced for only 7/10 hours on Monday (less than the expected [tex]1\frac{1}{4}[/tex]hours)
He practiced for [tex]1\frac{5}{6}[/tex] hours on Tuesdays.
He is supposed to practice [tex]1\frac{1}{4}[/tex] hours each day.
Finding the difference between the hours he practiced each day:
[tex]1\frac{5}{6} - 7/10 = 11/6-7/10= (110-42)/60 = 68/60 = 1.13 hours[/tex]
Thus, Marco practiced 1.13 hours more on Tuesday than on Monday.
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the spoke of a bicycle is 1 foot long. How many revolutions will the tire make when it is ridden one mile? Circumference and pi
They spoke of a bicycle that is 1-foot long. the revolutions the tire will make when it is ridden one mile is 1681.52 revolutions.
What are revolutions?Generally, The circumference of a tire is equal to the diameter times pi
C = d * pi.
Since the spoke of the bicycle is 1 foot long, the diameter of the tire is also 1 foot.
Therefore, the circumference of the tire is 1 * pi = approximately 3.14 feet.
To find out how many revolutions the tire will make when it is ridden one mile, you need to divide the distance traveled (1 mile) by the circumference of the tire.
One mile is equal to 5280 feet, so to find out how many times the tire will revolve, you would divide
5280/ 3.14
=1681.52 revolutions.
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What is the best description of range of function?
The domain of a relation or function are the input values. In this image the domain is represented by the begining of the arrows (the values on the x column).
What is a one one function?
In Maths, an injective function or injection or one-one function is a function that comprises individuality that never maps discrete elements of its domain to the equivalent element of its codomain. We can say, every element of the codomain is the image of only one element of its domain.
The range are the output values. In this case they are the ends of the arrows (the values on the y column
• Domain: {5, 10, 15, 20}
• Range: {-3, -1, 1, 3}
• Description: ,this is an injective function, because it is a one to one relation
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I need help please. Does any one know how to do this
The probability that a randomly selected muffin will be a banana nut muffin is; P(banana nut muffin) = 0.5
What is the probability of selection?From the table in the question, we are given;
Number of blackberry muffins = 10
Number of banana nut muffins = 25
Number of Chocolate chip muffins = 1
Number of blueberry muffins = 11
Number of pumpkin spice muffins = 3
Total number of muffins = 10 + 25 + 1 + 11 + 3
= 50
Probability = number of successful outcomes/Total number of outcomes
Thus;
P(banana nut muffin) = 25/50
= 0.5
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Which of the following is an example of Commutative Property w.r.t. Addition ?A.5+ 9 = 9 + 5B. (9 + 2) + 8 = 9+ (2 + 8)C. 4+ 7 = 3 +4D. 6 x 1 = 6
The correct answer is A. 5 + 9 = 9 + 5 is an example of the commutative property of addition.
The commutative property of addition states that the order of the numbers being added does not affect the sum. In other words, for any two numbers a and b, a + b = b + a. In this example, 5 + 9 = 9 + 5, which shows that the order of the numbers being added does not change the sum.
B. (9 + 2) + 8 = 9+ (2 + 8) is an example of the associative property of addition.
C. 4+ 7 = 3 +4 is not an example of commutative property as its not true 4+7 != 3+4
D. 6 x 1 = 6 is an example of identity property of multiplication.
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PLEASE HELP
1/2 (2x - 4) + 2 = 4(x + 2) - 11
SHOW WORK!!
Answer:
x = 1-------------------------------------
Solve the following equation:
1/2 (2x - 4) + 2 = 4(x + 2) - 11 Given1/2(2x) - 1/2(4) + 2 = 4x + 4(2) - 11 Distributex - 2 + 2 = 4x + 8 - 11 Simplifyx = 4x - 3 Simplify4x - x = 3 Collect like terms3x = 3 Simplifyx = 1 AnswerWhat are the 6 types of algebraic expressions?
The six types of algebraic expressions are:
Monomial: An expression with only one term, such as 5x or 2[tex]y^3[/tex].
Binomial: An expression with two terms, such as 3x + 4y or 7a - 5b.
Trinomial: An expression with three terms, such as 2[tex]x^2[/tex] + 4x - 6 or 5[tex]a^2[/tex] + 3ab - 2[tex]b^2[/tex].
Polynomial: An expression with more than one term, such as 2[tex]x^3[/tex] + 4[tex]x^2[/tex] - 6x + 8 or 5[tex]a^4[/tex] - 3[tex]a^2[/tex]b + 2[tex]b^3[/tex].
Rational expression: An expression that is the ratio of two polynomials, such as (2x+3)/(x-4) or (5[tex]a^2[/tex]-3b)/(a-2b).
Radical expression: An expression that contains a square root, cube root, or any other root of a number or a variable, such as √x or 3√(2y+5)
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jamal measured the height of a flower growing in his garden at the beginning of the month the flowerwas 3 1/4 inches tall the flower grew h inches during the month at the end of the month it 4 1/8 inches tall what equation models this situation
The equation that models the situation is 33 / 4 = h + 13 / 4.
How to find the equation that models a situation?Jamal measured the height of a flower growing in his garden at the beginning of the month. The flower was 3 1 / 4 inches tall . The flower grew h inches during the month.
At the end of the month it was 4 1 / 8 inches tall.
Hence, the equation to model the situation can be represented as follows:
Let's convert the mixed fractions to improper fractions.
3 1 / 4 inches = 13 / 4 inches
4 1 / 8 inches = 33 / 4 inches
Hence, the equation is as follows:
33 / 4 = h + 13 / 4
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What is the y-intercept (b) of these two points.
(-2, 5) and (2, 1)
Answer:
the answer is in the images
What are the 5 coordinate systems?
The 5 coordinate systems are Cartesian Coordinate System, Polar Coordinate System, Cylindrical Coordinate System, Spherical Coordinate System, Elliptic Coordinate System.
1. Cartesian Coordinate System: This system uses two perpendicular axes (X and Y) to determine the location of a point. The point's coordinates are the distances from the origin point (0, 0). The axes divide the plane into four quadrants and the coordinates can be positive or negative. The axes are also referred to as the x-axis and y-axis.
2. Polar Coordinate System: This system uses an angle and a distance from a fixed origin point to specify a point. The angle is measured in radians and the distance is measured from the origin. The coordinates of the point are usually written as (r, θ).
3. Cylindrical Coordinate System: This system combines the two-dimensional polar system and the one-dimensional Cartesian system. It uses three coordinates, (r, θ, z) to determine a point's location in three-dimensional space. The r coordinate is the distance from the origin, θ is the angle measured from the z-axis, and z is the height.
4. Spherical Coordinate System: This system uses three coordinates, (r, θ, φ), to determine a point's location in three-dimensional space. The r coordinate is the distance from the origin, θ is the angle measured from the z-axis, and φ is the angle measured from the x-axis.
5. Elliptic Coordinate System: This system uses two coordinates, (a, b), to specify a point on an ellipse. The a coordinate is the distance from one of the ellipse's foci, and the b coordinate is the distance from the other. This system is useful for describing orbits, such as those of planets.
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A man deposited ghc 1200 in his bank account. A simple interest of 20% per annum was paid on his deposit.
Calculate the
a.simple interest for the 4 years
b.amount at the end of the 4 types
a. The simple interest for 4 years would be $960.
b. The amount at the end of the 4 years would be $2160.$
A man deposited $1200 in his bank account. A simple interest of 20% per annum was paid on his deposit.
a. For calculating simple interest for the 4 years
We have been given data as:
Principal (P) = $1200
Rate of Interest (R) = 20%
Time (T) = 4 years
⇒ Simple interest = P × R × T
Substitute the value of P, R, and T in the above formula,
The simple interest for 4 years would be:
⇒ 1200 x 20% x 4 = 960
b. For calculating the amount at the end of the 4 years
The amount at the end of the 4 years would be:
1200 + 960 = 2160
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Look in the picture, please help me, I will mark brainliest!!!
Answer:
My idea is to look all at the left side of the graph, and whatever number without the decimal is lowest, label first, and do the same for the right side, for instance, if the lowest is 161, then label from lowest to highest across the x-axis, if it is something like 7 as the lowest on the right side of the graph, lowest to highest up the y-axis
Step-by-step explanation:
The students were interested in the proportion of rental apartments in these suburbs that were leased as furnished apartments and whether this varied with the number of bedrooms in these apartments: investigate further whether the proportions of furnished apartments differ be- tween apartments with different numbers of bedrooms, it is useful to test formally whether the number of bedrooms in an apartment and whether it is furnished or not are independent (a) State the null hypothesis the relevant form of the test statistic and the approximate distri- bution of the test statistic for carrying out this text (b) Provide cross-tabulation of the apartment data by these two factors (you should generate this table using R)
(c) Carry out a formal test, using a = 0.05,of whether the proportions of furnished apartments varies across number of bedrooms, that is, whether the furnishing status of an apartment independent of the number of bedrooms in the apartment You may use R to carry out these calculations, but please state the following information from this test: i. the table of expected frequencies ii. the observed value of the test statistic iii. the relevant degrees of freedom for the distribution of the test statistic iv. the resulting p-value for the test, or rejection region You should also ensure that you conclude your formal test by interpreting the p-value (or rejection region and your observed test statistic) in terms of the original question discussed above:'
The students were interested in the proportion of rental apartments in these suburbs that were leased as furnished apartments and whether this varied with the number of bedrooms in these apartments 500x + 900y + 1500z = 750,000
formal test, using a = 0.05,of whether the proportions of furnished apartments varies across number of bedrooms, that is, whether the furnishing status of an apartment independent of the number of bedrooms in the apartment You may use R to carry out these calculations, but please state the following information from this test: i. the table of expected frequencies ii. the observed value of the test statistic iii. the relevant degrees of freedom for the distribution of the test statistic iv
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
I bedroom = x
2 bedroom = y
3 bedroom = z
All the condition s gjvbbs'
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
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HELP. This is due today and I am so lost on how to do this without the side length.
Answer:
Photo 1:
Question 4:
If the angles are the same (two 45° and one 90°) the vertical side is equal to side C. the Pythagorean theorem states that A²+B²=C².
if Side C is equivalent to 4, both sides of the right angle are 4 (Because they are equivalent to each other.) so 4²+4²= 4 x [tex]\sqrt{2}[/tex] (5.8) so D=5.8, C=4
D is roughly 1.45 C
Step-by-step explanation:
A shopkeeper buys a quantity of oranges. On Thursday 2/7 were sold, on Friday 3/8 and on
Saturday 1/5. If 156 oranges remain unsold, how many were sold on Friday? *
There is a total of 420 Oranges were sold on Friday.
What is a fraction?
A fraction is a mathematical expression that represents a ratio of two numbers. It is written as a ratio of two integers, with the numerator (top number) representing the number of parts being considered and the denominator (bottom number) representing the total number of parts in the whole. The fraction can be written with a slash (/) or a horizontal line.
let the original number of orange be x
total orange sold = 2x/7 + 3x/8 + x/5 = 241x/280
Oranges left = x - 241x/280 = 39x/280
now, 39x/280 = 156
x = 1120 were there.
According to question
number of oranges sold on Friday = 3/8 * 1120
= 420 Oranges were sold on Friday.
Hence, there is a total of 420 Oranges were sold on Friday.
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Can yall help me with this math question fast
Answer:c
Step-by-step explanation:
c
What is the area of a triangle with base 16 cm and height 8 cm?
the area of a triangle with base 16 cm and height 8 cm is 64 cm^2
What is triangle?
" Triangle is defined as the two dimensional geometric shape with three vertices, three sides, and three interior angles enclosed in it."
Standard formula A= 1/2 bh
Area of the triangle =1/2 bh
According to the question,
Given,
Given formula of the area of the triangle
b represents the base of a triangle=16
h represents the height of a triangle
Area of the triangle =?
Height of the triangle =8
Substitute the value in the given formula we get,
=1/2*8*16
= 64
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Find the hypotenuse use simplest radical form if necessary
As a result, according to Pythagoras' Theorem, the third side, or hypotenuse, has a value of 8 units, whereas the other two sides are 6 and 7.
what is Pythagoras' Theorem ?The Pythagorean Theorem, often known as the Pythagorean Theorem, is the fundamental Euclidean geometry relationship between the three sides of a right triangle. The area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the right angle equals the sum of the squares that span its sides. It is sometimes written as the generic algebraic notation a2 + b2 = c2.
given
x2 = a2 + b2
x2 = 6*6 + 28
x2 = 36 + 28
x2 = 64
x = 8
As a result, according to Pythagoras' Theorem, the third side, or hypotenuse, has a value of 8 units, whereas the other two sides are 6 and 7.
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How do you find the rule of an XY table?
if we plug in different values for the input, we get corresponding values of output. There is always a pattern in the way input values x and the output values y are related which is given by the function rule.
What are the Slope and intercepts ?
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction of function
The slope expresses how quickly the dependent variable changes when the independent variable changes. The Greek capital letter D or D is frequently used by mathematicians and economics to represent change. Slope contrasts the change in the vertical axis, y, with the change in the horizontal axis, x.
On the x-axis, negative numbers are below the origin, and on the y-axis, they are to the left of the origin. If the x-value is negative, begin at the origin and go to the left; if the y-coordinate is negative, move downward.
Line graphs, also known as XY graphs, are used to visually represent data (the outcomes of an experiment) in order to demonstrate the link between various factors, such as the severity of the disease and time.
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How do you solve 7x 9 23?
Answer:
Step-by-step explanation: 7 x + 9 = 23. 7x+9=23. Subtract 9 from both sides. Subtract 9 from both sides.
7x=23-9. 7x=23−9. Subtract 9 from 23 to get 14. Subtract 9 from 23 to get 14.
7x=14. 7x=14. Divide both sides by 7. Divide both sides by 7.
x=\frac{14}{7} x=714 Divide 14 by 7 to get 2. Divide 14 by 7 to get 2.
Why is 6 a prime number?
No, 6 is not considered as a prime number, it is a composite number.
As given in the question,
Given number is equal to :
6
Prime numbers are those numbers which has only two factors one and the number itself.
Example of prime numbers are :
2, 3, 5, 7, 11, 13,... so on.
Here six has more than two factors .
Factors of 6 are equal to :
1, 2, 3, 6
There are four factors of six.
When a number has more than two factors then it is considered as composite number.
Example of composite factors are :
4, 6, 8, 9, 10, ... so on.
6 is a composite number.
Therefore, 6 is not a prime number it is a composite number.
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x+y=5:3 and x+y=56
Work out x-y
The value of x-y from the given condition is 14.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
The given ratio is x:y=5:3.
So, x/y =5/3
3x=5y
To the equation x+y=56, multiply 5 on both side, we get
5x+5y=280
5x+3x=280
8x=280
x=35
Substitute x=35 in equation x+y=56, we get
35+y=56
y=21
Now. x-y is
35-21=14
Therefore, the value of x-y from the given condition is 14.
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You are saving $5 per week. Write and Solve and inequality that represents how many weeks (w) you need to save in order to save at least $75
Answer:
w is greater than or equal to 15
Step-by-step explanation:
15(5)=75
Discuss the difference between r and p. Choose the correct answers below. r represents the : p represents the: 1. sample correlation coefficient thing 2. critical value for the correlation coefficient. 3. population correlation coefficient. Discuss the difference between r and p. Choose the correct answers below. r represents the: p represents the: 1. critical value for the correlation coefficient. 2. population correlation coefficient. 3. sample correlation coefficient. Click to select your answers)
The linear correlation coefficient unknown population is denoted by the statistic r and correlation strength is denoted by the parameter p, respectively.
As a result, correlations are generally portrayed by the two integers r and p. A number of +1 denotes a fully linearly positive correlation, while a number of -1 denotes a fully linearly negative connection. The correlation coefficient has a range of -1 to +1. The linear correlation becomes weaker as r approaches closer to zero.
The sample correlation coefficient evaluates the scatter plot points and a linear regression line constructed from those points (r). The correlation coefficient, denoted as r, ranges in value from -1 to 1. A p-value is a measure of statistical significance.
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What is the value of x? responses x = 4. 8 cm x, = 4. 8 cm x = 30 cm x, = 30 cm x = 93 cm x, = 93 cm x = 187. 5 cm x , = 187. 5 cm.
Using the equation we know that the required value of x is (B) 30 cm.
What are equations?Basically, an equation is when you have two expressions with the same value on either side of an "equal to" sign.
For example, 3x + 5 = 15.
There are lots of different types of equations, like linear, quadratic, and cubic, among others.
So, looking at the diagram, the equation is true.
x/75 = 12/30
Solve as follows:
30x = 12 * 75
30x = 900
30x/30 = 900/30
x = 30
Therefore, using the equation we know that the required value of x is (B) 30 cm.
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Correct question:
What is the value of x?
(A) X= 4.8 cm
(B) X= 30 cm
(C) X= 93 cm
(D) X= 187.5 cm
Solve the following initial value problem for the function y(x).
y'=2xy^2 ; y(1)=1/2
y(x) = [tex]\frac{1}{3-x^2}[/tex] is the solution of the given differential equation.
what is differential equation?A differential equation is an equation that relates a function and its derivatives; it describes how a quantity changes with respect to another. and its solution is a function that satisfies the equation for all values of the independent variable
y'=2x[tex]y^2[/tex]
where y' is dy/dx
so dy/dx = 2x[tex]y^2[/tex]
=> dy/ [tex]y^2[/tex] =2xdx
integrating on both side we get:
-1/y = [tex]x^2[/tex] +c --- (i)
where c is a constant
given that y(1) =2
putting the value of y = 1/2 and x=1 in equation (i) we get
so -2 = 1+c
=> c= -3
y(x) = 1/(3-[tex]x^2[/tex]) is the required solution of the differential equation.
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Which of the following describes the effect of the transformation given by (x, y) -› (-x, y) on points in the coordinate plane?