Jaleah used 3 3/4 cups of sugar for her lemonade stand. She divided the sugar, in equal amounts, into 6 pitchers. How much sugar went into each pitcher?

Figure J is transformed to figure K by the rotation of 90° clockwise followed with the translation of 5 units right.

A point, line, other geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

rotation of 90° clockwise: When a figure is rotated 90 degrees anticlockwise, each point must be converted from (x, y) to (y, -x) before the rotated figure may be graphed.

Before Rotation - (x, y)

After Rotation - (y, -x)

Translation of points is 5 units to the right.

Thus, Figure J is transformed to figure K by the rotation of 90° clockwise followed with the translation of 5 units right.

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The tax rate is 8% if the person pay $120 in taxes.

A tax rate is a percentage at which an individual or corporation is taxed. The U.S. imposes a progressive tax in which the higher the individual's income, the higher the tax.

To get tax rate, we will divide the amount of taxes paid ($120) by the income ($1,500) and then multiply by 100.

Tax rate = (Taxes paid / Income) * 100

Tax rate = ($120 / $1,500) * 100

Tax rate ≈ 8%.

Translated question:

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Answer:

3cm and 7cm

Step-by-step explanation:

The length is 7cm.

The width is 3cm.

Area = Length × Width = 7cm × 3cm = 21cm²

Answer:

No not at all

Step-by-step explanation:

Answer:

Nah

Step-by-step explanation:

I do too, I hate when fractions are included.

Answer: 50-50

Step-by-step explanation:

We have shown that AD/BE * \((F/C)^2\) = D/E, which means that the equivalent ratio of A/B is to D/E. So the option D/E is correct.

What is the ratio?

Ratio is a mathematical term used to compare two or more numbers. It is expressed as the quotient of one number divided by another number. Ratios can be written in different ways, such as using the colon (:) symbol, as a fraction, or as a decimal.

Let's begin by using the Pythagorean theorem to find the lengths of the sides of triangles ABC and DEF:

AC = \(\sqrt{(A^2 + C^2)}\)

BC = \(\sqrt{(B^2 + C^2)}\)

DF = \(\sqrt{(D^2 + F^2)}\)

EF = \(\sqrt{(E^2 + F^2)}\)

Now we can express A/B in terms of the ratios involving A and D, and B and E:

A/B = (A/C) / (B/C) = (A/C) / (E/F) * (D/F) / (B/C) = AD/BE * \((F/C)^2\)

To show that A/B is equivalent to D/E, we need to show that AD/BE * \((F/C)^2\) = D/E.

Using the ratios we derived above, we can write:

AD/BE * \((F/C)^2\) = (A/C) * (D/F) * \((E/F)^{-1\) * \((C/B)^{-1\)

= (A/C) * (D/F) * (F/E) * (B/C)

= AD/EF * BC/BE

Now we need to show that AD/EF = D/E and BC/BE = 1.

Since triangle ABC and triangle DEF are similar, we have:

A/C = D/F and B/C = E/F

Therefore, we can write:

AD/EF = (A/C) / (E/F) = (D/F) / (F/E) = D/E

BC/BE = (B/C) / (E/F) = (E/F) / (E/F) = 1

Therefore, we have shown that AD/BE * \((F/C)^2\) = D/E, which means that A/B is equivalent to D/E. So the option D/E is correct.

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Approximately a rate of 14.4% would be required to turn $500 into $2,000 in 10 years

To arrive at this estimate, we can use the rule of 72, which states that to determine the number of years required to double your investment at a certain rate of return, you can divide 72 by that rate. In this case, we want to quadruple our investment, so we need to divide 72 by 4, which equals 18.

Next, we can divide the number of years by the amount of interest earned to arrive at an estimated rate. In this case, we can divide 10 years by 18, which equals approximately 0.56. To convert this to a percentage, we multiply by 100, which gives us an estimate of 56%.

However, we need to subtract the rate of inflation, which is typically around 2-3%, to arrive at a more realistic estimate. This gives us a final estimate of approximately 14.4%.

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Answer:

x = 40 in

Step-by-step explanation:

the missing angle in the triangle on the left is

180° - (74 + 51)° = 180° - 125° = 55°

the missing angle in the triangle on the right is

180° - (74 + 55)° = 180° - 129° = 51°

the 2 triangles have 3 pairs of congruent angles and are therefore congruent.

Corresponding sides and angles are then congruent

consider the corresponding sides opposite 74° , that is x and 40 in , so

x = 40 in

The statement "Some unsound arguments are valid" is false.

The statement "Some unsound arguments are valid" is false.

A valid argument is a statement that follows the rules of logic.

An argument is known to be sound when it is valid and has true premises. When the premises of an argument are correct, the argument is considered sound. When an argument is valid, it follows logically from its premises, which are the statements that provide evidence or support for the argument's conclusion.

The unsound argument is the one that contains at least one false premise.

The sound argument is the one that contains only true premises and is valid (that is, follows logically from the premises).

If an argument is unsound, it can never be valid because it contains at least one false premise.

Therefore, the statement "Some unsound arguments are valid" is false.

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ANSWER

The volume is 197.15 cm³

EXPLANATION

We have to find the volume of the cube and then substract the volume of the cylinder inside.

The volume of the cube is the product of its sides:

The volume of a cylinder is the area of its base multiplied by its height. This cylinder's diameter is 2cm, therefore its radius is 1cm. The area of its base is:

The height of the cylinder is the width of the cube: 6cm. The volume of the cylinder is:

Finally, the volume of the composite figure is:

Step-by-step explanation:

”. What this means is that there is less than a 5% probability that the results happened just by random chance, and therefore a 95% probability that a results reflects a meaningful pattern in human psychology. We call this statistical significance, and, statistically speaking, this is a pretty high standard

If this means that there is still a 5% chance those results are due to chance. This, combined with publication bias , are two main contributing factors to the reproducibility crisis.

When the results of research investigations affect whether or not they are published, it is known as publication bias.

It alludes to the propensity of academics, journals and other interested parties to publish studies with statistically significant or favourable outcomes while omitting or underreporting those with non-significant or unfavourable outcomes.distorted and incomplete.

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Answer:

Y = mx + b

Step-by-step explanation:

Is this what you asked for???

Answer:

p ≥ 13

13 pizzas at least

Step-by-step explanation:

$107 + $4 = $111

$111/$9 = 12.3333 round it to 13

now we know he needs to sell at least 13 pizzas so the inequality p= 13 or p > 13.

This is my go at it, I am not sure though.

The answer the the problem is 11

The rate of change means that the designer hourly charge is $55 per hour

Linear equation

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total cost of hiring the designer after x hours.

From the table, using the point (0, 125) and (15, 950):

The rate of change means that the designer hourly charge is $55 per hour

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1 When four more than ten times a number is twenty-four. The number is 2.

2. When four less than eight times a number is twenty. The number is 3.

3. When the difference between ten times a number and two is twenty-eight. The number is 3.

4. When five more than the quotient of a number and six is fifteen. The number is 60.

5. When four less than four times a number and six is twenty-eight. The number is 6.5.

1. Let the number be x

Four more than ten times a number is twenty-four.

10x + 4 = 24

10x = 24 - 4

10x = 20

Divide

x = 20/10

x = 2

The number is 2.

2. Four less than eight times a number is twenty. Let the number be x.

8x - 4 = 20

8x = 20 + 4

8x = 24

Divide

x = 24 / 8

x = 3

The number is 3.

3. The difference between ten times a number and two is twenty-eight. Let the number be x.

(10 × x) - 2 = 28

10x - 2 = 28

Collect the like terms

10x = 28 + 2

10x = 30

Divide

x = 30 / 10

x = 3

4. Five more than the quotient of a number and six is fifteen. Let the number be n.

n/6 + 5 = 15

n/6 = 15 - 5

n/6 = 10

Cross multiply

n = 6 × 10

n = 60

5. Four less than four times a number and six is twenty-eight. Let the number be n.

(4n + 6) - 4 = 28

4n + 2 = 28

Collect the like terms

4n = 28 - 2

4n = 26.

Divide

n = 26 / 4

n = 6.5

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The number of rows in the arena is 26

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

The number of rows (i.e. the number of terms) is calculated using:

\(S_n = \frac{n}{2}(2a + (n -1) * d)\)

So,we have:

\(10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)\)

Evaluate the terms and factors

\(21840 = n(440 + 16n -16)\)

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

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The output when the given pseudocode is executed with A = 5 and B = 3 will be "25, 16, 9, 4, 1".

The given pseudocode includes a loop that iterates as long as A is greater than or equal to B. In each iteration, the square of A is displayed, and A is decremented by 1. We are asked to determine the output when A is initially 5 and B is 3.

Step 1: Initialization

A is set to 5 and B is set to 3.

Step 2: Iteration 1

Since A (5) is greater than or equal to B (3), the loop executes.

The square of A (5²) is displayed, resulting in the output "25".

A is decremented by 1, so A becomes 4.

Step 3: Iteration 2

A (4) is still greater than or equal to B (3).

The square of A (4²) is displayed, resulting in the output "16".

A is decremented by 1, so A becomes 3.

Step 4: Iteration 3

A (3) is still greater than or equal to B (3).

The square of A (3²) is displayed, resulting in the output "9".

A is decremented by 1, so A becomes 2.

Step 5: Iteration 4

A (2) is still greater than or equal to B (3).

The square of A (2²) is displayed, resulting in the output "4".

A is decremented by 1, so A becomes 1.

Step 6: Iteration 5

A (1) is still greater than or equal to B (3).

The square of A (1²) is displayed, resulting in the output "1".

A is decremented by 1, so A becomes 0.

Step 7: Loop termination

Since A (0) is no longer greater than or equal to B (3), the loop terminates.

Therefore, The output generated by the code execution will be "25, 16, 9, 4, 1" as the squares of A (starting from 5 and decreasing by 1) are displayed in each iteration of the loop.

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The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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These box plots show the basketball scores for two teams Bulldogs & Wolvernies.

Here we have to compare the spread of scores by Interquartile Range.

The interquartile range defines the difference between the third and the first quartile

It express as : Upper Quartile - Lower Quartile

For the Bulldogs :

Upper Quartile is 90

Lower Quartile is 70

So, Interquartile Range = Upper Quartile - Lower Quartile

Interquartile Range = 90 - 70

Interquartile Range = 20

For the Wolveniers :

Upper Quartile is 85

Lower Quartile is 55

So, Interquartile Range = Upper Quartile - Lower Quartile

Interquartile Range = 85 - 55

Interquartile Range = 30

as : 20 < 30

So, The Interquartile Range for bulldogs, 20 is less than the IQR for the Wolveniers, 30.

Answer : B) The Interquartile Range for bulldogs, 20 is less than the IQR for the Wolveniers, 30.

The equation of the tangent line at x=0 is y = x.

To find the equation of the tangent line at the given value of x, we need to find the derivative of the function y with respect to x and evaluate it at x=0.

Taking the derivative of y=∫[0 to x] sin(2t^2+π/2) dt using the Fundamental Theorem of Calculus, we get:

dy/dx = sin(2x^2+π/2)

Now we can evaluate this derivative at x=0:

dy/dx |x=0 = sin(2(0)^2+π/2)

        = sin(π/2)

        = 1

So, the slope of the tangent line at x=0 is 1.

To find the equation of the tangent line, we also need a point on the line. In this case, the point is (0, y(x=0)).

Substituting x=0 into the original function y=∫[0 to x] sin(2t^2+π/2) dt, we get:

y(x=0) = ∫[0 to 0] sin(2t^2+π/2) dt

      = 0

Therefore, the point on the tangent line is (0, 0).

Using the point-slope form of a linear equation, we can write the equation of the tangent line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

Plugging in the values, we have:

y - 0 = 1(x - 0)

Simplifying, we get:

y = x

So, the equation of the tangent line at x=0 is y = x.

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Answer:

snake

Step-by-step explanation:

Snake, being a reptile, is the closest to humans as per the phylogenetic analysis. In this case which is the lobster. Then comes the jelly fish according to the tree of life.

Answer:

snake

I took the test

Given that the equation of the line in the diagram is `y = 5 - x`. The line cuts the y-axis at P. So, the coordinates of point P are (0,5) and the gradient of the line is `-1`.

The equation of the line can be written as `y = -1x + 5`.Therefore, the y-intercept of the line is 5. Therefore, the coordinates of point P are (0,5).

To find the gradient of the line, we have to write the equation of the line in the form of `y = mx + c`.

We can rewrite `y = -1x + 5` as `y = (-1)x + 5`.From the above form of the equation, we can see that the gradient `m` is `-1`.Therefore, the gradient of line 1 is `-1`.Hence, the required answer is: Coordinates of point P is `(0,5)`.The gradient of the line is `-1`.

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Ii is the estimated value of the integral at the ith iteration, and I is the overall estimated value of the integral. We can stop the algorithm when the standard deviation σ is less than 0.01.

The standard deviation (SD, also written as the Greek symbol sigma or the Latin letter s) is a statistic that is used to express how much a group of data values vary from one another.

To estimate the integral I = ∫[1 to 0] \(e^{(x^2)\) dx using Monte Carlo simulation, we can use the following algorithm:

To stop when the standard deviation of the estimator is less than 0.01, we can keep track of the estimated value of the integral and the number of points generated at each iteration of the algorithm. We can compute the standard deviation of the estimator using the formula:

σ = √((1/N) * Σ[i=1 to N] (Ii - I)²)

where N is the number of iterations, Ii is the estimated value of the integral at the ith iteration, and I is the overall estimated value of the integral. We can stop the algorithm when the standard deviation σ is less than 0.01.

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Answer:

3n+2(-2n-1)

3n+[-4n-2]

3n-4n-2

-n-2

If

-n-2=0

Answer:

-n - 2

Step-by-step explanation:

The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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Answer:

5/8

Step-by-step explanation:

Subtracting a negative is the same as adding.

3/8 - (-1/4) = 3/8 + 1/4 = 3/8 + 2/8 = 5/8

Answer:

3/8+2/8=5/8, so the answer is 5/8.

Answer:

2) a.   slope = 4/3

2) b.   slope = -4

Step-by-step explanation:

The slope of the line that passes through points

\( (x_1, y_1) \)  and  \( (x_2, y_2) \)

is m, given by the slope formula below:

\( m = \dfrac{y_1 - y_2}{x_2 - x_1} \)

2) a. (30, 32) and (18, 16)

\( m = \dfrac{y_1 - y_2}{x_2 - x_1} \)

\( m = \dfrac{32 - 16}{30 - 18} \)

\( m = \dfrac{16}{12} \)

\( m = \dfrac{4}{3} \)

2) b. (4, -26) and (10, -50)

\( m = \dfrac{y_1 - y_2}{x_2 - x_1} \)

\( m = \dfrac{-50 - (-26)}{10 - 4} \)

\( m = \dfrac{-24}{6} \)

\( m = -4 \)