Answer:
Step-by-step explanation:
Your options for solutions are nonsensical. We'll go about this a different way...namely, I'll tell you about a function and its inverse and then you can pick the answer from your options, as best as it will fit.
If f(x) = x + 1 and f(x) is the same thing as y, you can say that y = x + 1
If h(x) is the inverse of f(x), we have to find what h(x) is. The way to do that is to switch the x and y coordinates in f(x) and solve for the new y.
f(x) = y = x + 1 then x = y + 1 and y = x - 1.
That tells us the inverse of f(x), aka h(x). If we then take the composition of f(x) into h(x) we will find its value.
h(f(x)) ---> h(x + 1) = (x + 1) - 1 and
h(f(x)) = x
This will ALWAYS BE TRUE, NO MATTER WHAT FUNCTION YOU PLUG IN.
Fact: the composition of an inverse into its function = x
Fact: the composition of a function into its inverse = x
assume a class named apple. write a statement that declares a variable named apple of that class and initializes it to a new object.
To declare a variable named apple of the class named "apple" and initialize it to a new object, we can use the following statement in most programming languages:
apple apple = new apple();
Here, the first "apple" is the class name, and the second "apple" is the name of the variable we are declaring. The "new" keyword is used to create a new object of the class, and the parentheses indicate that no parameters are being passed to the constructor.
This statement creates a new instance of the class named "apple" and assigns it to the variable also named "apple". The variable can now be used to access the properties and methods of the object, allowing us to manipulate and work with the data stored within it.
```java
Apple apple = new Apple();
```
This statement creates a new instance of the "Apple" class and assigns it to the variable "apple." The "new" keyword is used to create a new object, and "Apple()" calls the constructor for the class.
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A company makes 140 bags.
48 of the bags have buttons but no zips.
49 of the bags have zips but no buttons.
23 of the bags have neither zips nor buttons.
How many bags have zips on them?
\(48 + 49 + 23 = 120\)
So I guess 20 bags have lost
What ever if we suppose even one of them has zip then there are 49 bags that have zip at least.
Find h and please .math help ASAP
Answer:
x=3.5, h=12.5
Step-by-step explanation:
\(x=\frac{1}{4} *14=\frac{7}{2} =3.5\\\\\\\\h^{2}=13^{2}-3.5^{2} \\h^{2} =156.75\\h=12.519....\\h=12.5\)
The height of the triangle is 5.2 and the part of the base which is the base of the right angle triangle formed by h and side with measurement 13 is 13.
What is Pythagorean theorem?The Pythagorean theorem states that the square of the hypotenuse (the longest side of a right triangle) is equal to the sum of the squares of the other two sides.
The easiest way to find h and x is to use the Pythagorean theorem.
14² = 13² + h²
We can solve this equation for h:
h² = 14² - 13²
h = √(14² - 13² )
h = 5.2
We can also calculate x using the Pythagorean theorem.
x² = 14² - h²
x = √(14² - h²)
x = √(14² - 5.2²)
x = 12.99
x = 13
Therefore, the height of the triangle is 5.2 and x is 13.
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(a) find a basis for the row space of a and the row rank of a. (b) find a basis for the column space of a and the column rank of a. (c) find a basis for the null space of a and the nullity of a. (d) find a basis for the null space of at and the nullity of at .
The four fundamental subspaces of a matrix are the row space, column space, null space, and left null space.(a) A basis for the row space of A is {{1,2,3}, {2,3,4}}. The row rank of A is 2.(b) A basis for the column space of A is {{1,2}, {2,3}, {3,4}}.
(c) A basis for the null space of A is {{-1,1,0}, {1,-2,1}, {0,1,-1}}. The nullity of A is 3.
(d) A basis for the null space of At is {{1,-1,0}, {-1,1,1}, {0,-1,-1}}. The nullity of At is 3.The four fundamental subspaces of a matrix are the row space, column space, null space, and left null space. The row space is the set of all linear combinations of the rows of the matrix, and its dimension is the row rank. The column space is the set of all linear combinations of the columns of the matrix, and its dimension is the column rank. The null space is the set of all vectors that are solutions to the system of equations Ax = 0, and its dimension is the nullity. The left null space is the set of all vectors that are solutions to the system of equations A^T x = 0, and its dimension is the nullity.
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A rectangular prism is 4 meters long, 5 meters wide, and has a height of 7 meters. What is its volume?
Please help! Will mark brainlyest.
The volume of the rectangular prism is 140 cubic meters.
The formula for finding the volume of a rectangular prism is length x width x height.
Given that the length is 4 meters, the width is 5 meters, and the height is 7 meters, we can substitute these values into the formula to find the volume:
Volume = length x width x height
Volume = 4m x 5m x 7m
Multiplying these values together, we get:
Volume = 140 cubic meters
Therefore, the volume of the rectangular prism is 140 cubic meters.
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Braille because of its size and detail, Braille takes longer to read than text. A person reading Braille reads and the rate of 25% the rate of a person reading text.
a. Write and graph an equation that represents the average rate of y of Braille reader in terms of the average rate x of a text reader.
The relationship between the reading rate of text and Braille can be modeled in terms of t as B(t) = 0.25t
Let :
Text reading rate = t
Braille reading rate can be expressed in terms of t thus :
B(t) = 0.25tTherefore, we could make a proportional relationship table thus :
t = 1
B(t) = 0.25(1) = 0.25
t = 2
B(t) = 0.25(2) = 0.5
t = 3
B(t) = 0.25(3) = 0.75
0.75t = 4
B(t) = 0.25(4) = 1
1 t = 5
B(t) = 0.25(5) = 1.25
Text reading rate, t ; 1 ____ 2 ___ 3 ____ 4 ____ 5
Braille reading rate ;0.25_0.50_0.75 __1.00 __1.25
Therefore, the graph of the relationship between text and braille reading rate is attached below.
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please help asap !!!!
Answer:
41.5
Step-by-step explanation
The equation is
X×65/100=27
x=27×100/65
x=27×20/13
x=540/13
x=41.5
9Let's compare3and410First, write the fractions with the same denominator.ロ<ロロロ|D=093Х5?.104Then, use , = , or > to compare the fractions.9310
SOLUTION
Now we are comparing
\(\frac{9}{10},\frac{3}{4}\)To write them in the same denominator, we find the LCM of their denominator. That is we find the LCM of 10 and 4. This is
\(10\times4=40\)So we have
\(\begin{gathered} \frac{9}{10},\frac{3}{4} \\ 40\div10=4\text{ and 4 }\times9=36 \\ 40\div4=10\text{ and 10 }\times3=30 \\ we\text{ have } \\ =\frac{36\text{ and }30\text{ }}{40} \end{gathered}\)Hence
\(\frac{9}{10}=\frac{36}{40}\)and
\(\frac{3}{4}=\frac{30}{40}\)So we can see that
\(\frac{36}{40}>\frac{30}{40}\)Hence the answer is
\(\frac{9}{10}>\frac{3}{4}\)plz help emergency!!!!!!!
Answer:
What
Step-by-step explanation:
isosceles triangle abc is transformed to the image, triangle A' B' C'. which described the transformtioan that could have applied to triangle ABC?
The correct option is (B) the isometric transformation was possible due to the vertices' uniform 2 units to the right and 2 units downward displacement.
What is Transformation?The process of turning a graph into a new graph using rotation, reflection, translation, and dilation is known as transformation.
An object is said to be rotated when it is turned by a specific amount in either the clockwise or counterclockwise directions on an x-y plane.
Reflection turns an object into a mirror image that is identical in terms of size and shape with just the coordinates altered.
Moving an item up, down, left, or right on a coordinate axis is known as translation.
Dilation is the process of modifying an object's size; the original object is either compressed or enlarged by a specific scale factor.
So, the coordinates for the object ABC in the image are A (-2, 5), B (-5, 3), C(1, 3), and.
The picture's coordinates are A'(0,3), B'(-5,-3), and C' (3, -5).
The coordinates have undergone a translational transformation.
The vertices all shifted 2 units to the right and 2 units down, allowing an isometric transformation to be applied.
Therefore, the correct option is (B) the isometric transformation was possible due to the vertices' uniform 2 units to the right and 2 units downward displacement.
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Complete question:
Which describes the transformation that could have been applied to triangle ABC?
a. A dilation could have been applied because all of the vertices decreased by 2 units.
b. An isometric transformation could have been applied because all of the vertices moved 2 units right and 2 units down.
c. A dilation could have been applied because all of the vertices increased 2 units.
d. An isometric transformation could have been applied because all of the vertices moved 2 units left and 2 units up.
A positive number multiplied by a negative number will result in a
Answer:
Negative
Step-by-step explanation:
When you multiply a negative number by a positive number then the product is always negative.
Dakota found a vintage skateboard from the 1980s in her parents' garage. The owner of the local skate shop told her the skateboard is currently worth $380 and will increase in value by about 7% each year. Write an exponential equation in the form y=a(b)x that can model the skateboard's value, y, in x years. Use whole numbers, decimals, or simplified fractions for the values of a and b. y = To the nearest dollar, how much will the skateboard be worth in 7 years?
1. An exponential equation modeling the skateboard's value, y, in x years is y = 380 x 1.07ˣ.
2. The value of the skateboard will be worth $610.28 in seven years.
What is an exponential equation?An exponential equation is a mathematical function that depicts an equation with variable exponents.
The exponential function is always written in the form of y = abˣ.
Where a = the constant or initial value, b = the continuous growth rate, and x or t = the time variable.
Y represents the value that we are looking for after the growth rate has been applied for several (t) years.
The current worth of the skateboard = $380
Annual increase = 7% = 0.07
Number of years = 7 years
Y = 380 x 1.07⁷
= 380 x 1.606
= 610.28
= $610.28
Thus, in seven years, using the exponential equation, the skateboard will be worth $610.28.
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If h(x) = x2 + 3x +2. what does f(2) equal?
13
10
12
11
Answer:
Step-by-step explanation:
h(2) = (2)^2 + 3(2) + 2 = 4 + 6 + 2 = 12
12 is the answer
Assume you are working with population of n= 16 scores. the sum of all of the scores is equal to 96. what is the population mean?
The population mean of the data is 6.
How to find the population mean?The population has n = 16 scores.
The sum of all of the scores is equal to 96.
Therefore, the population mean can be found as follows:
The population mean is the mean or average of all values in the given population.
The population mean is represented mathematically as follows:
population mean = sum of terms / number of terms
Therefore,
sum of terms = 96
number of terms = 16
Hence,
population mean = = 96 / 16
population mean = 6
Therefore, the population mean of the data is 6.
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Giving brainliest if right
Answer: 715*10^7
Step-by-step explanation:
Answer:
Expressed in scientific notation: 7.15 * 10^7 tons
Step-by-step explanation:
Solve the system.
2x + y = 3
−2y = 14 − 6x
Answer:
y= -2 x= 3
y= 3 x= -7
Step-by-step explanation:
A company's profit, currently $58,000, grows at the rate of 5% per year. The amount P after t years can be expressed by the exponential equation
P = 58000(1 + 0.05)t. Identify the number of years it will take for the profit to exceed $80,000.
A) 5
B) 6
C) 4
D) 7
Answer:
D) 7
Step-by-step explanation:
P=58000(1+0.05)^t
P=58000 x 1.05^t
58000 x 1.05^7= 81611.8245
D) 7
The number of 7 years will take for the profit to exceed $80,000
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
Given:
A company's profit, currently $58,000, grows at the rate of 5% per year. The amount P after t years can be expressed by the exponential equation
P = 58000(1 + 0.05\()^{t}\)
We have P = 80,000.
So,
80000/58000 = (1 + 0.05\()^{t}\)
1.38 = (1.05\()^{t}\)
Taking log both sides, we get,
t = ln(1.38)/ln(1.05)
t = 0.136/0.02
t = 6.8
t ≈ 7 years.
Therefore, the time required is 7 years.
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Consider the following three systems of linear equations. System A System B System C 11 x= -44 [B1] x=-4 [C1] - 7x- 6y= 10 [A1] 6x+2y=- 18 [A2] 6x + 2y=-18 [B2] 6x +2y=-18 [C2] Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. The arrow ( - ) means the expression on the left becomes the expression on the right. How do we transform System A into System B? O X Equation [A1] → Equation [B1] Х ? 1 x Equation [A2] → Equation [B2] * Equation [A1] + Equation [A2] → Equation [B2] 1 x Equation [A2] + Equation [A1] → Equation [31] How do we transform System B into System C? 1 x Equation (B1] Equation (C1] X Equation [B2] → Equation (C2] 1 x Equation [31] + Equation [B2] → Equation (C2] * Equation [B2] + Equation [31] → Equation [21]
The correct transformations:
1) 3 x Equation [A2] + Equation [A1] → Equation [B1]
2). 1/11 x Equation [B1} → Equation [C1]
The correct options are D and A respectively.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.
Given:
We have three systems of linear equations.
To transform system A into system B:
Multiply 3 to the equation A2 and then add to equation A1,
we get,
-7x +18x -6y + 6y = 10- 54
11x = -44
equation B1.
To transform system B into system C:
Multiply 1/11 to equation B1,
we get,
x = -4
equation C1.
Therefore, the transformations are given above.
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12x-2=12x solve for x or is it no solution
12x - 2 = 12x
Step 1:
12x - 12x = 0
Step 2:
Bring down your -2 and your x
Answer:
x = -2
4/6 simplfy it can someone help
4/6=2/3 (divide both numerator and denominator by 2 (gcd)).
Hope this helps.
2/3
Hope this helps!! Good luck! :)
Find the range of the function y=1/2x + 3 when the domain is {-2,0,2,4}
Answer:(2,3,4,5)
Step-by-step explanation:
how much is ( (8/4)+ 6) x 2?
Answer:
16
Step-by-step explanation:
((8/4)+ 6) x 2
(2 + 6) x 2 Divided 8 by 4
8 x 2 Added 2 and 6
16 Multiply
n the library of a small town, the mean cost of new books is the same as the median cost of new books. the distribution of book costs is: multiple choice question. negatively skewed symmetrically distributed positively skewed
If the mean cost of new books is the same as the median cost of new books, then the distribution of book costs is symmetrically distributed.
This means that the data is evenly distributed around the mean and median, and there are an equal number of values on both sides of the central point. In a symmetric distribution, the mean and median are the same, and the data is evenly spread out around them.
A negatively skewed distribution would have a longer tail on the left side, indicating that the majority of the values are higher. A positively skewed distribution would have a longer tail on the right side, indicating that the majority of the values are lower.
A symmetric distribution, on the other hand, has no long tail on either side, and the majority of the values cluster around the central point. Therefore, the distribution of book costs is symmetrically distributed.
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Pls help all questions
1 and 2
Answer:
Question 1
Ordered pair (2, -3) satisfies y ≥ x - 5 but does not satisfy y ≤ 2x-8
Question 2
Ordered pair (0,4) does satisfy both inequalities:
y ≤ -x + 4 and y ≥ 5x - 3
Step-by-step explanation:
Question 1
The ordered pair is (2, -3); therefore x = 2, y = -3
Plug these values into the left and right side of each inequality and see if these values satisfy the inequality
For y ≥ x - 5
LHS = -3, RHS = 2 - 5 = -3
Is -3 ≥ -3? Of course; in fact it is = and it only need to satisfy either = or >
For y ≤ 2x-8
LHS = -3, RHS = 2(2) - 8 = 4 - 8 = -4
Is -3 ≤ -4? NO. -3 is greater than -4
(remember in negative numbers -4 lies further to the left than -3 on the number line so -4 is less than -3)
Question 2
Given ordered pair is (0,4)
For y ≤ -x + 4
LHS = 4, RHS = -0 + 4 = 4
Is 4 ≤ 4? YES
For y ≥ 5x -3
LHS = 4, RHS = 5(0) -3 = 0 - 3 = -3
Is 4 ≥ -3? Of course. All positive numbers are greater than negative numbers
Identifying Quadrilaterals
The shape in the figure is
parallelogram quadrilateralrectangleWhat is a rectangle?A rectangle is a type of quadrilateral, which is a polygon with four sides. It is characterized by having two adjacent sides of equal length.
In addition to the equal side lengths a rectangle also has opposite sides that are parallel to each other hence a parallelogram.
other properties of rectangle
All angles in a rectangle are equal. The diagonals of a rectangle are of equal length.A rectangle can also be considered as a general form of a squareThe rectangle is tilted so it is not parallel to the horizontal
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CARD 4
Zoe opens a savings account that
earns annual compound interest. If she
doesn't make any deposits or
withdrawals after her initial deposit,
the balance in the account after x
years can be represented by the
equation below.
b(x)=675(1.045)*
D
Duncan says the
balance in the
account increases at
a rate of 45% each
year.
Daniella says the
balance in the
account increases at
a rate of 4.5% each
year.
Which answer is right
The correct answer about the savings account that Zoe opened, represented by the equation b(x)=675(1.045)ˣ is B. Daniella says the balance in the account increases at a rate of 4.5% each year.
What is an equation?An equation is a mathematical statement that two or more algebraic expressions (the combination of variables with constants and mathematical operands) are equal or equivalent.
This equation is known as the future value equation, formula, or function.
Initial investment = $675
Compound interest rate = 4.5% (0.045 x 100)
Future value factor = 1.045 (100% + 4.5%)
Based on the future value function above, we can conclude that the compound interest rate is 4.5%, which is equivalent to 0.045 as given in the equation.
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for her final​ project, stacy plans on surveying a random sample of students on whether they plan to go to florida for spring break. from past​ years, she guesses that about ​% of the class goes. is it reasonable for her to use a normal model for the sampling distribution of the sample​ proportion? why or why​ not?
It is reasonable for Stacy to use a normal model for the sampling distribution of the sample proportion. This is because, according to the Central Limit Theorem,
when the sample size is large enough (typically considered to be at least 30), the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution.
In Stacy's case, she plans on surveying a random sample of students, which implies that she will have a sufficiently large sample size. Therefore, the conditions for using a normal model are satisfied.
In conclusion, Stacy can use a normal model for the sampling distribution of the sample proportion in her survey for the final project.
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true or false: the quantity represented by θ is a function of time (i.e., is not constant).
Answer: the answer to this is true
for the function what is the average rate of change over any given interval? f(x)=4/3x+8
the average rate of change is 4/3
Explanation:
Function: f(x)=4/3x + 8
rewriting in the form of equation of line: y = mx + c
m = slope = rate of change
c = intercept
Comparing with the given function:
m = 4/3
c = 8
Hence, the average rate of change is 4/3
Find the value of Y0 for which the solution of the initial value problem y′−2=8 + 9sint, y(0)=y0 remains finite as t→infinity.
The value of Y0 for which the solution of the initial value problem y′−2=8 + 9sint, y(0)=y0 remains finite as to infinity is -5/2.
What is the initial value?In mathematics, the y-intercept of a function is indicated by the beginning value of the function. Understanding the y-intercept is beneficial for graph functions.
Employ the first-order linear differential equation's solution formula, which I've lately demonstrated numerous times here.
\(y = e^t[e^{-t}(1+3sin(t)) dt + c] = -(\frac{1}{2})(3sin(t) + 3cos(t) + 2) + ce^t\)
After doing integration by parts twice.
Since lim{t->oo} y is finite, c = 0.
So, y(0) = -(1/2)(3+2) = -5/2
Therefore, the value of Y0 for which the solution is -5/2.
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