A figure is dilated by a scale factor of 3 and is rotated 90° clockwise.

Complete the description of the transformations that will transform the image back into the original figure. Drag and drop each choice into the correct boxes to complete the sentences below.

Answer:

Step-by-step explanation:

6(x + 4)/5(x - 7) * 9(x - 7)/7(x + 4) =

Cancel the x + 4 and x - 7

54/35

The algebraic expression for the amount of etergent remaining in the container isy = x - 13 - 4 - 73

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

13 4 73

Let's define the variable 'x' to represent the amount of detergent initially present in the container.

Then, if 'y' represents the amount of detergent remaining in the container, we can write an algebraic expression for it as:

y = x - 13 - 4 - 73

where:

13 represents the amount of detergent used on the first day

4 represents the amount of detergent used on the second day

73 represents the amount of detergent used on the third day

By subtracting the total amount of detergent used from the initial amount 'x', we get the remaining amount 'y'.

Therefore, the expression will be y = x - 13 - 4 - 73.

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The expression that is equivalent to 5^6 is A.125 x 125

Index forms are defined as mathematical forms of writing numbers that are too large or small in more convenient forms.

Other terms for index forms are called standard forms or scientific notations.

They are also described as numbers or variables that are raised to an exponent.

From the information given, we have that;

5⁶

This is replicating 5 in 6 places, we have the representation as;

5 × 5 × 5 × 5 × 5 × 5

Hence, the expression is 125 x 125

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By using the graph of the piecewise function we can see that:

f(0) = 0.

Here we have the graph of a piecewise function, and we want to find the function when x = 0.

Remember that on a graph, an open circle means that the value does not belong to the graph, while a closed circle means taht the value belongs to the graph.

Here we can see that the closed circle at x = 0 is on the line at the middle, then we can conclude that f(0) = 0.

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Answer: et's call the amount of strawberries Gill uses "x" grams. We know that the ratio of strawberries to bananas is 7:3, so we can set up an equation:

x/144 = 7/3

To solve for x, we'll multiply both sides of the equation by 144:

x = 7/3 * 144

x = 7 * 48

x = 336

So Gill uses 336 grams of strawberries in the smoothie.

Step-by-step explanation:

The solutions to the system of linear equation (x, y) are 1 and 4/3 respectively

A system of linear equations is a collection of two or more linear equations with the same variables. The goal of solving a system of linear equations is to find the values of the variables that simultaneously satisfy all the equations in the system.

From the question given;

-x + 6y = 7 ...eq(i)

6x - 30y = -34 ...eq(ii)

From eq (i)

x = 6y - 7 ..eq (iii)

Put eq (iii) into eq (ii)

6(6y - 7) - 30y = -34

36y - 42 - 30y = -34

6y - 42 = -34

6y = -34 + 42

6y = 8

y = 4/3

Put y = 4/3 into eq (i)

-x + 6(4/3) = 7

-x + 24 / 3 = 7

x = 24/3 - 7

x = 1

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The best describes EB is diameter of circle because it is a chord of circle which passes through the center.

A circle is a two-dimensional object made up of points that are spaced out from a given point (centre) on the plane by a fixed or constant distance (radius). The fixed point is referred to as the circle's origin or centre, and the fixed distance between each point and the origin is referred to as the radius.

The following components make up a circle:

Circumference: Also known as a circle's perimeter, circumference is the distance a circle travels around its circumference.

Radius: The radius is the distance a circle's center is from any point on its edge.

A diameter is a straight line that links two places on the circle's edge and passes through the center.

So that EB is describes as diameter of circle because it is a chord of circle which passes through the center.

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The best description of the transformation for the image being projected on the retina is A. A dilation with a scale factor between 0 and - 1 and center at the nodal point.

An mage is inverted and reversed as it passes through the lens of the eye, and is then projected upside down and reversed onto the retina. The process of transforming the image is called "rectification."

In mathematical terms, a dilation would have taken place because the object was shrunken by the eyes at the nodal point. When an object shrinks , then the scale factor is between 0 and 1 but because this image is inverted, the scale factor is between 0 and - 1.

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Answer:

Non biased (kind of)

Step-by-step explanation:

It depends on how they randomly chose but if it was truly random it would be non biased as many people will read newspapers for things such as sports or catalogs

The probability distribution of the random variable Y is 0.63, 0.25, 0.12. The mean of y is 0.4899 and the std deviation of y is 0.6999 and the mean of the selling price for the fat quarters sold by Company G is $4.4 and the std deviation for the same is $0.99

a) x = number of defects on a fat quarter

to be sold, X must be, X ≤ 2

y = number of defects on the sellable fat quarter,

now from the table, P [fat quarter being sellable]

=P [X ≤ 2]

=0.58 + 0.23 + 0.11

= 0.92

Therefore, P[y-0] = P[x=0Ix≤2]

=[tex]\frac{P[x=0][x < 2]}{P[x < 2]}[/tex]

=P[y=0] = 0.63

P[y=1] = P[x=1Ix≤2]

P[y=1] = [tex]\frac{0.23}{0.92}[/tex]

=0.25

P[y=2] = P[x=2Ix≤2]

P[y=2] = [tex]\frac{0.11}{0.92}[/tex]

= 0.12

y------------------0--------1---------2

probability---0.63----0.25----0.12

b)mean of y = E(y)

=0²×0.063+1×0.25+2×0.12

=0.25+0.24

=0.49

now we know that E(y²) = 0²×0.63+1²×0.25+2²×0.12

=0.25+0.48

=0.73

E(y²) - [E(y)]²

=0.73-0.49²

=0.4899

std deviation of y = 0.6999

c) now that we have E(G) = 0.40, √v(G) = 0.66

let s be selling price of fat quarters, then s = 5.00 - 1.50 × (G)

therefore = 5-1.5×0.4

=5-0.6

=$4.4 is the mean selling price.

now for the standard deviation price = v[5-1.5G]

=v(5)+1.5² v(G)

=0+2.25×0.66²

=v(s)= 0.9801

standard deviation of sp =√v(s)

=$0.99

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Answer:

y-intercept: (0,-1)

Step-by-step explanation:

please verify

There are 50 ways for Marvin to reach his destination without passing through the forbidden point.

To solve this problem, we can use the unitary method. This method involves breaking the problem down into smaller, simpler units to solve it more easily.

In this case, we can break the path from Marvin's starting point to his destination into two smaller paths. The first path is from (0,0) to (1,4), and the second path is from (1,4) to (4,6).

There are five paths from the bottom left corner to the point (1,4) that do not go through the forbidden point.

Once Marvin reaches the point (1,4), he can only go up or to the right to reach his destination. So, we need to count the number of ways to get from (1,4) to (4,6)

We can visualize this by drawing another grid and counting the paths:

In total, there are

=> 5 x 10 = 50

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Answer:

a. 0.81

b. 0.81

Step-by-step explanation:

Let's assume that the player makes x% of his free throws. Then, the probability that he will make both free throws is (x/100)^2, and he will make at least one free throw is 1 - (1 - x/100)^2.

So if he makes 90% of his free throws, then:

a. The probability that he will make both free throws is (90/100)^2 = 0.81.

b. The probability that he will make at least one free throw is 1 - (1 - 90/100)^2 = 1 - (1 - 0.9)^2 = 1 - 0.19 = 0.81.

The answers to the questions rounded to 4 decimal places are:

a. 0.81

b. 0.81

Answer:

7

Step-by-step explanation:

We start doing the multiplication, and [tex]5 \cdot 5 = 25[/tex]. So we can rewrite it as [tex]25 + 67 - 85.[/tex] Now we work from left to right, where we calculate [tex]25 + 67 = 92[/tex]. Now the final step, [tex]92 - 85 = 7.[/tex] Therefore, the answer is [tex]\boxed{7.}[/tex]

Answer:

sry for being late the answer is 7……I did it in my head and double checked with a calculator. Go ahead and give the other person brainliest they did it first! Hope I helped to!!

Step-by-step explanation:

Answer:feet occurs most often. Mick recorded the lengths of 10 Steller sea lions.

Step-by-step explanation:feet occurs most often. Mick recorded the lengths of 10 Steller sea lions.

In the illustration given above, the length and the diameter of the shaft would be = 21.8 in and 7/8 in respectively.

The total length of the shaft can be calculated through the addition of the various given lengths along the shaft such as follows:

= 5⅛ + 5 + 7⅝ + 4 1/16

First convert all the mixed fraction into single fraction;

= 41/8 + 5/1 + 61/8 + 65/16

= 82+80+122+65/16

= 349/16

= 21.8 in.

The diameter of the shaft can be calculated as follows;

= 7¼ - (3 3/16 + 3 3/16 )

First convert all the mixed fraction into single fraction;

= 29/4 - (51/16 + 51/16)

= 29/4 - 102/16

= 116-102/16

= 14/16

= 7/8 in.

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Answer:

9 cups

Step-by-step explanation:

1 cup is 8 ounces

72/8 is 9

Answer:

hundredths

Step-by-step explanation:

Answer:  30% less than 40 is 28

Step-by-step explanation:

Answer:

The answer is 28.

Step-by-step explanation:

I'm bad at proving stuff but that's the answer I promise. (quick tip, you are more likely to get answers if you give more points. :D)

Answer: A parabola can be defined as the set of all points that are equidistant from a focus and a directrix. Based on the information provided, the focus of the parabola is (0, 4) and the directrix is y =.

The parabola will open upwards or downwards depending on the location of the focus and the directrix. Since the focus is at (0, 4), and the directrix is at y =, the parabola must open upwards. The axis of symmetry of the parabola will pass through the focus and will be perpendicular to the directrix.

Without more information, it is not possible to fully determine the shape and equation of the parabola. The shape of the parabola and its equation can be found by using the focus and directrix and other information, such as the vertex or a point on the parabola.

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

Answer:

27

28

Step-by-step explanation:

The Translation to  algebraic expression is shown below.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

To create a variable expression for a circumstance in the actual world:

For example, the sum of a and b can be written as

= a+ b

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Answer: AB and BC form a right angle at point B, so BC is perpendicular to AB. To find the equation of BC, we can use the slope-point formula, which is y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

The slope of a line perpendicular to AB can be found by finding the negative reciprocal of the slope of AB. To find the slope of AB, we need to find the difference in the y-coordinates and divide it by the difference in the x-coordinates:

m_AB = (y2 - y1) / (x2 - x1)

= (4 - (-1)) / (4 - (-3))

= 5 / 7

The slope of a line perpendicular to AB is the negative reciprocal of m_AB:

m_BC = -1 / m_AB = -1 / (5/7) = -7/5

Now that we have the slope of BC, we can use the slope-point formula to find the equation of BC. We'll use the point B = (4, 4) as (x1, y1):

y - 4 = -7/5 (x - 4)

y = -7/5 x + 4(7/5) + 4

y = -7/5 x + 36/5

So the equation of BC is y = -7/5 x + 36/5.

Step-by-step explanation:

The number of strings where exactly two of the ones are next to each other, while the third one is not next to the other two, is (n-1) x (n-2).

In combinatorics, one of the fundamental concepts is counting the number of strings or sequences of symbols that satisfy certain conditions.

Let us first consider the case where the two ones that are next to each other are at the beginning of the string. In this case, we can place the third one in any of the remaining positions, which are n-2, where n is the total length of the string. Therefore, the number of such strings is (n-2).

Similarly, if the two ones are at the end of the string, we can place the third one in any of the n-2 remaining positions, and the number of such strings is again (n-2).

Now let us consider the case where the two ones are in the middle of the string. In this case, we can place the two adjacent ones in (n-2) ways, and the third one can be placed in any of the remaining n-3 positions, since it cannot be adjacent to the other two ones. Therefore, the number of such strings is (n-2) x (n-3).

To get the total number of strings that satisfy the given condition, we need to add up the number of strings in each of the three cases:

Total number of strings = (n-2) + (n-2) + (n-2) x (n-3)

Simplifying this expression, we get:

Total number of strings = (n-1) x (n-2)

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The piecewise function for the graph is given as follows:

A piecewise function is a function that has different definitions, depending on the input x of the function.

The three different definitions for the function in this problem are given as follows:

For x < -4, the function is constant at y = -2, hence:

y = -2, x < -4.

For -4 < x ≤ 2, the function is linear, with an slope of 0.5 and intercept of 4, hence:

y = 0.5x + 4, -4 < x ≤ 2

For x > 2, the function is also linear, with slope of -1.5, hence at x = 0 it would assume a value of 1, thus:

y = -1.5x + 1, x > 1.

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Answer:

The correct answer would be 3693

Step-by-step explanation:

9 + 180 + 2,700 + 804

3693

1200 pages were numbered using a total of 3693 digits.

Total digits equal =  the digits in the 1 - digit page numbers + the 2 digit page numbers - digit page numbers  + 3 digit page numbers - digit page numbers.

Then simplify,

9 + 180 + 2,700 + 804

= 3693

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The amount (present value) that Emma borrowed from Dixons Dynamite Deals (DDD) to repay after 10 years with a one-time payment of $80,000 at 14/6% compounded interest per annum is not more than $20,475.94.

Step-by-step explanation:

To find out how much Emma borrowed from Dixons Dynamite Deals (DDD), we can use the formula for the future value of a loan with compound interest:

Future Value (FV) = Principal Amount (P) * (1 + r)^n

Where:

P = Principal amount (the amount borrowed)

r = Interest rate per period (in decimal form)

n = Number of periods

In this case:

Future Value (FV) = $80,000 (the payment Emma will make after 10 years)

Interest rate (r) = 14.6% per annum = 0.146 (in decimal form)

Number of periods (n) = 10 years

Now, let's calculate the principal amount (P):

$80,000 = P * (1 + 0.146)^10

Now, let's solve for P:

P = $80,000 / (1.146)^10

P ≈ $80,000 / 2.97804

P ≈ $26,874.94

So, Emma borrowed approximately $26,874.94 from Dixons Dynamite Deals (DDD) to start her cupcake business.

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Answer:

Step-by-step explanation:

The expression that represents the area of a rectangle with length (l) and width (w) is given by:

A = l * w

Therefore, the expression that represents the area of a rectangle with a length of ( + ) and a width of ( − ) can be represented as:

A = ( + ) * ( − ) = + × − = + (−) = −.

Answer:

Lisa would need to score 97 on her 5th test.

Step-by-step explanation:

If Lisa has an average score of 82 on 4 tests, then the total sum of her scores would be 82 multiplied by 4, which is equal to 328.

If she wants an average final score of 85 over 5 tests, then the total sum of her scores needs to be 425 (i.e. 85 multiplied by 5).

To determine what she needs to get on her 5th test we need to subtract 328 from 425.

425 - 328 = 97

The algebraic expression is,

⇒ 5 (6 - n)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ five times the difference between six less than a number.

Now, Let a number = n

Hence, We can formulate;

⇒ 5 (6 - n)

Thus, The value of expression is,

⇒ 5 (6 - n)

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