The domain and range of the function are:
How to determine the domain of the function?In this exercise, you're given the following function f(x) = 5ˣ ⁻ ³ + 1. Next, we would equate the function to zero (0) to determine its domain as follows:
0 = 5ˣ ⁻ ³ + 1.
-1 = 5ˣ ⁻ ³
-(5⁰) = 5ˣ ⁻ ³
-0 = x - 3
x = 3.
Therefore, the domain are all real numbers and they can be substituted for x to return a valid f(x) value.
From the graph of the given function (5ˣ ⁻ ³ + 1), we can logically deduce that the range comprises all real numbers that are greater than 1.
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Answer:
ITS C
Step-by-step explanation:
what is the definition of accounting equation
Answer:
The accounting equation is a formula that shows the sum of a company’s liabilities and shareholders’ equity are equal to its total assets (Assets = Liabilities + Equity). The clear-cut relationship between a company’s liabilities, assets and equity are the backbone to double-entry bookkeeping. The source of a company’s accounting equation numbers is its balance sheet. Equity can be Shareholders’ Equity, Stockholders’ Equity, or Owner’s Equity.
Like other equations, if two terms of the basic accounting equation are known, you can solve for the third term. For example, Total Assets – Total Liabilities = Total Equity, or Total Assets – Total Equity = Total Liabilities. You move a term from the right side to the left side of the accounting equation by using a minus sign.
Names meaning the same as Balance Sheet are Statement of Financial Position or Statement of Financial Condition.
Show how you arrived at your solution on the answer sheet for full credit. Write neatly, clearly and be organized.
11. A maker of frozen meals claims that the average caloric content of its meals is 800. A
researcher tested 12 meals and found that a sample mean was 815 calories and the sample
standard deviation 25. Is there enough evidence to reject the claim at a =0.02? Assume the
variable is normally distributed. Use p-value method or traditional method. (hint: two-tail
test) write your answer three decimal places (8 points)
Step-by-step explanation:
A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car
What does the net decimal equivalent (NDE) represent?
Answer:
the product of the decimal equivalents of all discount in the series
PLEASE ANSWER THIS QUESTION RIGHT PLEASE Devante Has a lunch account in the school cafeteria. His starting balance at the beginning of the month is $35.50 The first week Devante But three lunches and his account balance was$28. The second week Devante  Bought five lunches and his account balance was $15.50 in a model that relates the balance of his lunch account as a function of the number of lunches he buys what does the rate of change represent? THE ANSWER CHOICES ARE IN THE PICTURE ABOVE
Answer:
C) The amount of money in his lunch account
Step-by-step explanation:
In the Gaussian integral, how does the left side of this equation equal the right side? An answer would be really appreciated, thank you.
the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.
How do we calculate?
using completing the square method:
Starting with the left side of the equation:
∫\(e^(^-^x^2)\) dx
\(e^(^-^x^2) = (e^(^-x^2/2))^2\)
∫\((e^(^-^x^2/2))^2 dx\)
let u = √(x²/2) = x = √(2u²).
dx = √2u du.
∫ \((e^(^x^2/2))^2 dx\)
= ∫ \((e^(^-2u^2)\)) (√2u du)
The integral of \(e^(-2u^2)\)= √(π/2).
∫ \((e^(-x^2/2))^2\) dx
= ∫ (√2u du) \((e^(-2u^2))\\\)
= √(π/2) ∫ (√2u du)
We substitute back u = √(x²/2), we obtain:
∫ \((e^(-x^2/2))^2\)dx
= √(π/2) (√(x²/2))²
= √(π/2) (x²/2)
= (√π/2) x²
A comparison with the right side of the equation shows that they are are equal.
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which function has a greater slope
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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Point A is at (5, 6) on the coordinate plane. It is reflected over the y-axis to create point B. Point A is then reflected over both axes to create point C. What is the area of the triangle that results from connecting the three points?
The area of the triangle which is formed as described is; 60.
What is the area of the triangle formed?According to the task content, when Point A(5,6) is reflected over the y-axis, the point B formed is; (-5,6) and when reflected over both axis, the point C formed is; (-5,-6).
It therefore follows that the length of segments AB and BC which represents the base and height of the triangle formed are; 10 and 12 respectively.
Therefore, the area of the triangle is; (1/2) × 10 × 12 = 60.
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WILL MARK BRAINLIEST!
To the nearest tenth, the perimeter of the rhombus is ___ units long.
Answer:
28.84 units
Step-by-step explanation:
using Pythagorean's Theorem, and halving both 8 and 12, we can find the length of the hypotenuse of on of the triangles. Once we find that length. we multiply it by 4 to complete the total perimeter.
given line t below, choose all points that lie on the line that passes through point P and is parallel to line t.
Answer:
the answer is 4 and 3
Step-by-step explanation:
taking the point on x and y axis so u get 4 and 3
A farmer earns $___ for each orange she sells. She had to pay $___ for fertilizer. Part A: Rewrite the description by filling in the blanks with values of your choice to show the amount of money the farmer could earn selling any number of oranges, n. Make sure the values you choose make sense for this situation. (6 points) Part B: Write an algebraic expression from your written description used in Part A. Let n stand for the number of oranges. (6 points)
If the length of a rectangle is 1 cm more than three times the width and if the perimeter of the rectangle is 34 cm what is the dimension of the rectangle
Answer:
width: 4cm
length: 13cm
Step-by-step explanation:
Let the width of the rectangle be w. From the problem, we can infer that the length would be equal to 3w + 1. The formula for the perimeter of a rectangle is:
P = 2(l + w)
where P is the perimeter, l is the length, and w is the width.
We can substitute our values into the equation:
34 = 2(3w + 1 + w)
17 = 3w + 1 + w
17 = 4w + 1
16 = 4w
w = 4
We can substitute this into the length:
3w + 1
3(4) + 1
12 + 1
13
ASAP NEDDDD HELPPPPPP
By translation, the image of the triangle X is equivalent to the triangle E.
How to determine the image of a figure by rigid transformations
Herein we find the representation of a triangle, whose vertices are described below:
A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)
Whose image must be determined by a rigid transformation known as translation:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original point.P'(x, y) - Image of the point.T(x, y) - Translation vector.Now we proceed to determine the images of the vertices of the triangle:
A'(x, y) = (5, 5) + (4, - 3)
A'(x, y) = (9, 2)
B'(x, y) = (5, 6) + (4, - 3)
B'(x, y) = (9, 3)
C'(x, y) = (7, 5) + (4, - 3)
C'(x, y) = (11, 2)
Therefore, the triangle E is the image of the triangle X.
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6x - 9x - 5 + 8 + 7x
Show your work.
Answer:
6x−9x−5+8+7x
=6x+−9x+−5+8+7x
Combine Like Terms:
=6x+−9x+−5+8+7x
=(6x+−9x+7x)+(−5+8)
=4x+3
Answer:
=4x+3
Step-by-step explanation:
I hope this helps
Answer:
=4x + 3
Step-by-step explanation:
Add the numbers
6
In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century. It has three tenets:
1. Living organisms are made up of cells.
2. Cells are the basic structural/organizational unit of all organisms.
3. All cells come from pre-existing cells.
What technology had the greatest impact on cell theory?
Step-by-step explanation:
The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells. This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.
The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells
What is cell theory?In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century, that living organisms are made up of cells, that they are the basic structural/organizational unit of all organisms, and that all cells come from pre-existing cells.
Cells are the basic unit of structure in all organisms and also the basic unit of reproduction.
The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells.
This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.
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One option in a roulette game is to bet 11on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) If the ball lands on red, you get to keep the 11 you paid to play the game and you are awarded 11. If the ball lands elsewhere, you are awarded nothing and the 11 that you bet is collected. Complete parts (a) through (b) below.
The expected value for playing roulette if a person bet $16 on red is -$0.84.
b. The statement that best describes what this value means is option b. Over the long run, the player can expect to lose about $1.05 for each game played.
What is the expected value?To be able to calculate the expected value, you need to multiply the probability of winning by the amount won hence it will be:
Expected value = (18/38) x $16 - (20/38) x $16
= -$0.84
Based on the fact that the expected value has a negative sign, it implies that, on average, the player tend to lose money over the long run.
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See full question below
one option in a roulette game is to bet $16 on red. (there are 18 red compartments, 18 compartments, and two compartments that are neither red nor black) if the ball lands on red, you get to keep the $16 you paid to play the game and you are awarded $16. If the ball lands elsewhere, you are awarded nothing and the $16 that you bet is collected.
a. what is the expected value for playing roulette if you bet $16 on red?
$__________ (round to the nearest cent)
b. chosen the statment below that best describes what this value means???
Pick One!
a. over the long run, the player can expect to win about $1.05 for each game played
b. over the long run, the player can expect to lost about $1.05 for each game player
c. over the lung run, the player can expect to break even
The first step in setting financial goals is
Answer:
step #1: Set Realistic and Achievable Goals
Step-by-step explanation:
Answer:
See what matters to you.
Step-by-step explanation:
You need to know what you want in order to know what to set goals on. You need to write down everythig while doing this.
HOPE IT HELPED
The diagram represents a 12 cm by 4 cm rectangle.
12 cm
4 cm
Calculate the area of the rectangle, giving the units of your answer.
1. Which is a step in proof by mathematical induction?
Substitute n = k + 2 into the formula.
Assume the formula is true for some other value.
Prove the formula is true for n = k.
Assume that the formula is true for the (k + 1) term.
Therefore , the solution of the given problem of linear equation comes out to be it is true for some n=k, where k represents one of the values for which we want to prove the proposition.
What exactly is a linear equation?The equation y=mx+b serves as the basis for a regression model curve. The slope is B, and the y-intercept is m. Even if y or y were separate components, the foregoing sentence is occasionally referred to as a "mathematical formula combining two variables." Bivariate linear equations only have two variables. Application problems involving linear equations have no known solutions. The formula for a simple set of equations is Y=mx+b.
Here,
given :
=> n = k+2
In such situation, you can still use induction to demonstrate this claim for any numbers n2. (If you want to give it a try, it's a nice workout.) In the base situation, n=2 rather than n=1 would exist.
In order to be clear, I'd want to point out that the logical step does not consist of 'proving the assertion for n=k+1 given it is true for n=k.
The inductive step is to demonstrate that the assertion is true for n=k+1 after assuming that it is true for some n=k, where k represents one of the values for which we want to prove the proposition.
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Answer:
Assume the formula is true for some other value.
Step-by-step explanation:
It's the second step
n=k+2 isn't a thing
n=k "This is not part of a proof by mathematical induction."
Assume that the formula is true for the (k + 1) term. "This is not part of a proof by mathematical induction.
Frank had 42 rocks that he wanted to share with his 4 friends. If he gave each friend
the same number of rocks (and kept the same number of rocks for himself), how
many rocks did each person get? Use labeled sketches, numbers, or words to solve
this problem. Show all your work.
The number of rocks that each friend will get will be 10 rocks.
How to illustrate the expression?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
In this case, Frank had 42 rocks that he wanted to share with his 4 friends. If he gave each friend the same number of rocks, the rocks that each friend will get will be:
= 42 / 4
= 10.5
Each person gets 10 rocks
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MC Math question PLS HELP 100 POINTS
Step-by-step explanation:
A1 = 9
r = 2/3
An = ar^{n - 1}
An = 9.(2/3)^{n - 1}
Option → C
WILL GIVE BRAINLIEST- In the figure below, m
Answer:
JKL
Step-by-step explanation:
where is the problem
how would i go about this question?
Answer:
x = 48.40'
y = 33.01'
Step-by-step explanation:
These are all segments of a right triangle, so the Pythagorean theorem applies.
x^2 = 46.07^2 +14.82^2 = 2342.0773
x = √2342.0773 ≈ 48.40
__
x^2 = 35.39^2 +y^2
y^2 = 2342.0773 -35.39^2 = 1089.6252
y = √1089.6252 ≈ 33.01
Units are feet for both numbers:
x = 48.40'
y = 33.01'
_____
You always start any question by reading the whole question, identifying the (relevant) given information, and understanding what the question is asking for. You then make an assessment of what you know about the relationships between the given information and what is asked. Finally, you develop a strategy for getting from what you know to what you need to know.
Here, you're given segment lengths of right triangles, and you're asked for other segment lengths. This is not a trig problem--no angles are involved. It is a straight Pythagorean theorem problem. To make use of that theorem, or any formula, you need to have only one unknown. So, you can't start by solving the bottom triangle; you have to start with the upper one where there is only the unknown side x.
After you find x, then you have two known sides in the bottom triangle, so you can find y.
Here, x is an intermediate value in the computation of y. You do NOT use the rounded answer to the question when you're computing y. Rather, you use the full calculator precision for x, so that y can have best accuracy. Only at the end do you round to hundredths.
One square is shaded. Translate the shaded square 3 units left and 2 units down.
Click on the square to shade it.
A B C
E F G H
J K L M
NO P
Q
help no links u will get BRAINLIEST
Explanation is\(^{}\) in a file
bit.\(^{}\)ly/3gVQKw3
Answer:
The correct correct answer is box J
2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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Thirty is what percent of 20?
Answer:
150 percent
Step-by-step explanation:
30/20. Multiply both sides by 5. 150/100. 30 is %150 of 20
Answer:
150
Step-by-step explanation: from goog .le
In ΔUVW, u = 76 inches, w = 71 inches and ∠W=69°. Find all possible values of ∠U, to the nearest degree.
The value of the angle U from the calculation is 88 degrees.
How do you solve a triangle?The sine rule can be applied in a variety of situations, such as determining a triangle's unknown side lengths or angles. The sine rule can be used to locate the missing side or angle if you know the lengths of two sides and the measure of an angle (not necessarily the included angle).
By the use of the sine rule;
u/Sin U = w/Sin W
Thus;
76/Sin U = 71/Sin 69
Sin U = 76Sin 69/71
U = Sin-1 (76Sin 69/71)
U = 88 degrees
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(Free Points!!!)
What are quartiles?
A) Tiles that are worth 25 cents
B) Another name for quarters
C) A way to measure liquids
D) A group of number data showing 25% of the numbers
Answer:
D? (also nice pfp lol) word word
1.Two-fifth of the sum of a number and 24 is equal to 5 times the number decreased by 18, find the number.
2. sketch the parabola y=x^2 + 4x + 96, show all intercept, the axis symmetry and vertex
The solution is
a) The number is 6
b) The equation of the parabola is y = x² + 4x + 96 with vertex ( -2 , 92 ) and the y intercept is ( 0 , 96 ) and the axis of symmetry is x = -2
What is a Parabola?
A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
a)
Let the equation be represented as A
Now , the value of A is
Let the number be = n
A = Two-fifth of the sum of a number and 24 is equal to 5 times the number decreased by 18
Substituting the values in the equation , we get
2/5 ( n + 24 ) = 5n - 18
On simplifying the equation , we get
Multiply by 5 on both sides of the equation , we get
2 ( n + 24 ) = 25n - 90
2n + 48 = 25n - 90
Subtracting 2n on both sides of the equation , we get
23n - 90 = 48
Adding 90 on both sides of the equation , we get
23n = 138
Divide by 23 on both sides of the equation , we get
n = 6
Therefore , the number is 6
b)
The equation of parabola is given as
y = x² + 4x + 96
Now , the equation can be simplified as
y = (x + 2)² + 92
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
where ( h , k ) is the vertex and ( h , k + p ) is the focus
Substituting the values in the equation , we get
The vertex of the parabola is P ( -2 , 92 )
The y intercept of the parabola is ( 0 , 96 )
The axis of symmetry of parabola is x = -2
Hence , the equation of parabola is y = (x + 2)² + 92
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24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70