(will give brainly if possible)

What is the area of the image of the rectangle under this transformation?

The graph of all the functions are given below.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

From the graph:

The parent function f(x) = eˣ.

The graph of the parent function is given the attached image in purple line.

So,

1). f(2x) = e²ˣ

Graph f(2x) in the color green below.

2). -3f(x) = -3 eˣ.

Graph -3f(x) in the color blue below.

3). 2f(2x) = 2e²ˣ

Graph 2f (2x) in the color red below.

Therefore, all the graphs are given in the attached image.

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If the final statement when solving a system of linear equations is "5 = 0", it means that: E. none of these statements are true.

A solution to a system of linear equations is a set of values for the variables that satisfy all the equations in the system simultaneously. In other words, it is a collection of values for the variables that make all the equations in the system true at the same time.

The solution can be represented graphically as the intersection of the lines or planes defined by the equations in the system, or it can be represented algebraically as a set of values for the variables.

The equation "5 = 0" is false. It means that 5 cannot be equal to 0. This could indicate that the system of linear equations has no solution or that there is an error in the method being used to solve it.

Therefore, the answer is: "none of these statements are true".

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Answer:4

Step-by-step explanation:

because it is a right triangle so if cb is 2 that makes ac 2 then if you just look at the ab line it’s actually longer so it’s 4 ;)

Answer:

Step-by-step explanation:

let 'x' represent the amount removed, then we require:

40-0.25 <= 48-x <= 40+0.25

which solves to:

7.75 <= x <= 8.25

the carpenter must saw off between 7.75 and 8.25 inches

Answer:

Step-by-step explanation:

The sum of the angles in a triangle is 180

So, (19x-1)+(13x-5)+90(right angle) =180

32x+84=180

32x=96

x=3

19x3-1=56

13x3-5=34

answer : 56, 34

If you know the distance from the edge of the base to the center of the top, together with either its radius or its height, we can compute the volume of a right cylinder.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. The theorem can be used to determine how steep mountains or slopes are. To calculate the distance between an observer and a location on the ground when the observer is looking down from a tower or structure. It is mostly utilized in the construction industry.

Note that h refers to half of the total height of the cylinder. I chose to use

h instead of h/2 to simplify things later on.

To find the volume of our cylinder, we need to multiply the area of the top by the total height of the cylinder. In other words;

V = pi * (radius of cylinder)² (height of cylinder)

V = pi(r² - h²) 2h

V = 2pi h(r² - h²)

This is our volume function. Next, we take the derivative of the volume function and set it equal to zero. If we move the h inside the parenthesis, we only need to use the power rule to get the derivative.

d/dxV(h) = 2pi(r² -3 h²) = 0

The 2π divides out and we are left with;

r² − 3h²=0

After some rearranging;

h² = r²/3

Take the square root of both sides.

h = r/√3

That is how we can calculate  the volume of a right cylinder, if you know the distance from the edge of the base to the center of the top along with either its radius or its height.

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The total rainfall in this situation with the appropriate domain is f(h)=10h is 1-3 hours, f(h)=30 is 4 to 6 hours and f(h)=30+20(h-5) is 7 to 12 hours.

The range of input values where a function can be defined, or the set of possible inputs, is known as the domain of the function. The domain is the collection of objects that the function machine will accept as inputs.

During the 1 to 3 hours, rain fell at a constant rate of 10 mm per hour, expressed as

f(h)=10h

During the 4 to 6 hours, rainfall is same, expressed as

f(h)=30

During the 7 to 12 hours, raining again at a constant rate of 20mm, expressed as

f(h)=30+20(h-5)

Thus, the total rainfall in this situation with the appropriate domain is f(h)=10h is 1-3 hours, f(h)=30 is 4 to 6 hours and f(h)=30+20(h-5) is 7 to 12 hours.

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The required possible amount that she spends additionally is more than $8.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,

Elsa will spend more than $25 on gifts. So far, she has spent $17.

Let the possible additional amounts she will spend be x,
According to the quesiton,
x + 17 > 25
x > 25 - 17
x > 8

Thus, the required possible amount that she spends additionally is more than $8, as of the given condition.

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Mrs. Martha's cousin will pay $108 in interest for a loan of $1800.

What is interest in a simple definition?

Since Mrs. Martha is paying an interest rate of 6% per year, her cousin will also pay 6% per year.

To calculate the amount of interest paid, we can use the formula:

Interest = Principal * Rate * Time

Where:

So:

Interest = $1800 * 0.06 * 1 = $108

Therefore, Mrs. Martha's cousin will pay $108 in interest for a loan of $1800.

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The proposed ban on sugary soft drinks larger than 16 ounces in New York City has both pros and cons. Pros include reducing obesity and diabetes, while cons include potential infringement on personal freedom and potential negative impact on small businesses.

The proposed ban on sugary soft drinks larger than 16 ounces in New York City aims to reduce obesity and diabetes by limiting the consumption of high-calorie beverages. This can also help to lower the healthcare costs associated with these conditions. However, some argue that this is an infringement on personal freedom and that people should have the right to make their own choices about what they eat and drink. Additionally, there are concerns that small businesses, such as convenience stores and vending machine operators, could be negatively impacted by the ban. This is because they may lose sales as a result of the ban, which could lead to job losses and financial hardship.

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The horizontal distance of the ball when it hits the ground is equal to 119.671 feet.

According to statement, we find the equation of the path covered by the ball, that is, a quadratic equation of the height of the ball (h), in feet, in terms of horizontal distance (x), in feet. In this case we need to determine a value of x greater than zero such that h = 0, that is to say:

- 0.01 · x² + 1.18 · x + 2 = 0

The roots of the quadratic equation can be found easily by quadratic formula:

x = - 1.18 / [2 · (- 0.01)] ± [1 / [2 · (- 0.01)]] · √(1.18² - 4 · (- 0.01) · 2)

x = 59 ± 60.671

The only realistic solution for the horizontal distance of the ball is x = 59 + 60.671 = 119.671 feet.

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The number of hours Alan could trim to earn at least $73 is 11.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Charges per hour = $7

Equipment fees = $4

The number of hours to earn at least $73.

7t - 4 ≤ 73

Where t is the number of hours.

Now,

7t - 4 ≤ 73

7t ≤ 73 + 4

7t ≤ 77

t ≤ 11

Thus,

The number of hours is 11.

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The term “slope of a function” is short for “slope of the graph of a function” for some particular value of the independent variable.

The linear function's slope. A slope is a measure of how steep a hill is. The same is true of a line's steepness. The ratio of the rise, which is the vertical change between two points, to the run, which is the horizontal change between those same two points, is known as the slope.

The derivative of a function is if it has one, the slope at any point. The slope of the line that is tangent to the curve there is another definition for it. In calculus class, you learn how to discover derivatives starting with limit theorems and moving on to numerous other "shortcut" theorems that make finding many derivatives easier.

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The required interval of the given normal distribution using the empirical rule is [100, 140].

The empirical rule formula (also known as a 68 95 99 rule formula) uses data from a normal distribution to determine the first, second, and third standard deviations, which, respectively, differ from the mean value by 68%, 95%, and 99%. Additionally, it shows that 99.9% of the data fall inside the third standard deviation range (either above or below the mean value). The empirical rule formula is described below with cases that have been resolved.

In the question, we are given that IQ scores for adults aged 20 to 34 years are normally distributed according to N(120, 20), and are asked for the range in which the middle 68% of people in this group score on the test.

N(120, 20) signifies a normal distribution with mean, μ = 120, and the standard deviation, σ = 20.

By the empirical formula, 68% of the data lies within one standard deviation from the mean.

Thus, the required interval is [μ - σ, μ + σ] = [120 - 20, 120 + 20] = [100, 140].

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Solve for x values that satisfy a quadratic inequality to write interval notation. This usually involves factoring the quadratic and putting it equal to zero, then utilizing the inequality sign to select viable solutions. After finding the answers, write (a,b) to indicate the interval of x-values that make the inequality true. The interval notation for -3 and 5 is (-3,5).

In general, you must first solve for the values of x that are consistent with the inequality being met before you can build an interval notation for a quadratic inequality. The quadratic equation will often need to be factored in order to be fixed to zero.

The relevant answers will then be determined using the inequality sign. After you have identified the solutions, you may use the notation (a,b), where a and b stand for the solutions, respectively, to show the range of x-values that cause the inequality to hold.

The interval notation, for instance, might appear as follows if the responses were -3 and 5. (-3,5).

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There are a total of 20 cars average in the parking lot, all of which are either red or white and either 2-door or 4-door. 12 of the cars are red, 15 of them are 4-door, and 4 of them are 2-door and white. Out of the 12 red cars, 12 of them are 4-door, so the answer is 12 cars are 4-door and red.

1. Determine the total number of cars in the parking lot: 20

2. Subtract the number of 2-door cars from the total number of cars to get the number of 4-door cars:

20 - 4 = 15

3. Subtract the number of 2-door and white cars from the number of red cars to get the number of 4-door and red cars:

12 - 4 = 8

4. Add the number of 4-door and red cars to the number of 4-door cars to get the answer:

8 + 15 = 12

To find the answer, we first determined the total number of cars in the parking lot, which was 20. We then subtracted the number of 2-door cars from the total number to get the number of 4-door cars, which was 15. We then subtracted the number of 2-door and white cars from the number of red cars to get the number of 4-door and red cars, which was 8. Finally, we added the number of 4-door and red cars to the number of 4-door cars to get the answer, which was 12.

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Answer:

4/5 = .8.  20% evaporated

Step-by-step explanation:

2.5 million divded into fifth. you have 5/5

take away half a million and that is 1/5th

at the end you have 4/5th left

4/5 = .8 = 80% left over meaning 20% evaporated

On solving the provided question, we can say that Graph Onerepresents a linear equation.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

Graph One

The graph is linear, commonly known as being in a straight line. Other graphs are not, though. Additionally, the range (y) of the tables is rising linearly every time, by a factor of.5 (1/2).

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The total that Ashpreet bought, given the price of the plates and the forks, is $ 16. 95

The amount that the clerk should give back, given the amount Ashpreet gave the clerk, is $ 33. 05

The total amount that Ashpreet will pay for the two packages of plates and the packages of forks, given the price of the plates and the price of the forks is:

= ( Cost of plates x Number of packages of plates ) + ( Cost of forks x Number of plate packages )

= ( 5. 79 x 2 ) + ( 1. 79 x 3 )

= 11. 58 + $ 5. 37

= $ 16. 95

The amount that the clerk would therefore give back to Ashpreet is:

= Amount Ashpreet paid with - Cost

= 50 - 16. 95

= $ 33. 05

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The rest of the question is:

The price of the packages of napkins and forks is: napkins $ 5.79 and forks $1.79

The inequality that shows the distance ran is 3x ≥ 4y

An equation is a expression that shows the relationship between numbers and variables.

Inequalities are used for the non equal comparison of numbers and variables.

Lena ran 3 miles each day for x days. Ivan ran 4 miles each day for y days.

Total number of miles that Lena ran = 3x

Total number of miles that Ivan ran = 4y

The total number of miles that Lena ran is at least the total number of miles that Ivan ran, hence:

3x ≥ 4y

The inequality is 3x ≥ 4y

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The unit interval [0,1] in the real numbers is a compact set, and we can find a number m such that every open cover of [0,1] contains a finite subcover of m elements.

A compact set is a set that satisfies the finite subcover property, which means that every open cover of the set contains a finite subcover. This means that for any open cover of a compact set, there exists a finite subcover containing a certain number of elements (m) that can cover the entire set.

Examples of compact sets that satisfy this property include closed and bounded sets in a metric space, such as closed intervals in real numbers, and closed and bounded subsets of Euclidean space.

The unit interval [0,1] in the real numbers is a compact set, and we can find a number m such that every open cover of [0,1] contains a finite subcover of m elements.

Other examples of compact sets are the closed unit ball in a Euclidean space, and any finite set, where the number m would be equal to the number of elements in the set.

In summary, compact sets are sets that have the property of finite subcover, and for any open cover of a compact set, there exists a finite subcover containing a certain number of elements (m) that can cover the entire set. Some examples of compact sets are closed and bounded sets in a metric space, closed intervals in real numbers, closed and bounded subsets of Euclidean space, closed unit balls in Euclidean space, and any finite set.

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The equation to represent the given table is y=27x.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

From the table:

a) Proportional

2/54 = 3/81

1/27 =1/27

Yes, the number of tickets and total cost are Proportional

b) Using coordinates (2, 54) and (3, 81)

m=(81-54)/(3-2)

m=27

Substitute m=27 and (x, y)=(2, 54) in y=mx+c, we get

54=27(2)+c

c=0

Substitute m=27 and c=0 in y=mx+c, we get

y=27x

So, the equation is y=27x

c) Number of tickets are 14

d) Total cost = $378

Therefore, the equation to represent the given table is y=27x.

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Answer:

Ace

Step-by-step explanation:

The range has only one value 100

Answer:

The index of x should  be 0 so that its value will be equal to 1.

The length of the hypotenuse of the right triangle is:

B = 24.4

Side B is the side opposite to the angle B, so it will be the hypotenuse of the right triangle.

We know the other two sides of the right triangle, so we can use the Pythagorean theorem to get:

C^2 + A^2 = B^2

Replacing the values that we know:

A = 20

C = 14

We will get:

20^2 + 14^2 = B^2

√(20^2 + 14^2) = B

24.4 = B

That is the length of the hypotenuse

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a) The price that is 3 standard deviations above the mean is $18500

b) The price that is 2 standard deviations below the mean is  16000

c) The percentage of buyers who paid between $16,500 and $17,500 is 68%.

d) The percentage of buyers who paid between $17,000 and $18,000 is

47.5%

e) The percentage of buyers who paid less than $16,000 is 2.5%.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

Mean= 17000

standard deviation = $500.

a) The price that is 3 standard deviations above the mean is $

= 17000 + 3 x 500

= 18500

b) The price that is 2 standard deviations below the mean is $

= 17000 - 2 x 500

= 16000

c) The percentage of buyers who paid between $16,500 and $17,500 is

As, This is the bell curve numbers of 1 deviation which 68%.

d) The percentage of buyers who paid between $17,000 and $18,000 is

So,  1/2 of the 2nd deviation, or  95% x 0.5  

= 47.5%

e) The percentage of buyers who paid less than $16,000 is 5% is outside of the 2nd deviation which is half of that or  2.5%.

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Answer: 32 oz

Step-by-step explanation:

Answer: 32

Step-by-step explanation: a pound is 16 ounces

Answer:

Car B has the best rate

Step-by-step explanation:

A:  450 mi / 15 gal = 30 mi/gal

B:  651 mi / 21 gal = 31 mi/gal

C:  598 mi / 23 gal = 26 mi/gal

31 > 30 > 26

Answer:Car B has the best rate at 31 miles per gallon

Step-by-step explanation:  i did my math

Answer:

the largest angle is 70

Step-by-step explanation:

180 degrees in a triangle

180=5x+6x+7x

simplify

180=18x

x=10

7x=70

the largest angle is 70 degrees.

The largest number that divides two or more numbers evenly is greatest common divisor (GCD).

The biggest positive number that divides any non-zero integer by two or more is known as the greatest common divisor.

The greatest common divisor is the biggest number that divides two or more numbers proportionally (GCD).

Using the LCM method, the steps to calculate the GCD of (a, b) are as follows:

Find the result of a and b in step 1.

Find a and b's least common multiple (LCM) in step two.

Step 3: Dividing the results of Steps 1 and 2.

Step 4: The value that results from division is the most significant common divisor of (a, b).

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