The circumference of a circle is 7(pie)cm. What is the area, in square centimeters?
Express your answer in terms of TT(pie).

An angle is a polyhedron made up of two rays with a shared terminal, often known as sides or legs (called the vertex). Angles are used to express how much rotation or inclination there is between second line or planes and are commonly described in degrees or radians.

From the given information, we have the following equations:

[tex]x = 2(y+z) - 40[/tex] (the largest angle is 40 degrees less than twice the sum of the other two angles)

[tex]x = 2z + 10[/tex] (the largest angle is twice the smallest angle plus 10 degrees)

[tex]x + y + z = 180[/tex] (the sum of the angles of a triangle is 180 degrees)

To simplify the system of equations, we can use the second equation to substitute for x in the first equation:

[tex]2z + 10 = 2(y+z) - 40[/tex]

Simplifying this equation, we get:

[tex]y = z + 25[/tex]

Now we can substitute x and y in terms of z into the third equation:

[tex]x + (z+25) + z = 180[/tex]

Simplifying this equation, we get:

[tex]x + 2z = 155[/tex]

Finally, we can substitute x in terms of z from the first equation into this last equation:

[tex]2(y+z) - 40 + 2z = 155[/tex]

Simplifying this equation, we get:

[tex]y + 3z = 97[/tex]

Therefore, the equations that represent this system are:

[tex]x = 2(y+z) - 40\\y = z + 25\\x + 2z = 155\\y + 3z = 97[/tex]

So the correct answers are:

[tex]a.) x=2y+10\\d.) x=2z+y-40\\e.) 2(y+z)-40[/tex]

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The equations that represent this system are:

a.) x=2y+10

d.) x=2z+y-40

e.) 2(y+z)-40

What is angles ?

An angle is a polyhedron made up of two rays with a shared terminal, often known as sides or legs (called the vertex). Angles are used to express how much rotation or inclination there is between second line or planes and are commonly described in degrees or radians.

From the given information, we have the following equations:

=> x=2(y+z)-40 (the largest angle is 40 degrees less than twice the sum of the other two angles)

=> x=2z+10 (the largest angle is twice the smallest angle plus 10 degrees)

=> x+y+z=180  (the sum of the angles of a triangle is 180 degrees)

To simplify the system of equations, we can use the second equation to substitute for x in the first equation:

=> 2z+10=2(y+z)-40

Simplifying this equation, we get:

y=z+45

Now we can substitute x and y in terms of z into the third equation:

x+z+25+z=180

Simplifying this equation, we get:

=> x+2z=155

Finally, we can substitute x in terms of z from the first equation into this last equation:

2(y+z)-40+2z=155

Simplifying this equation, we get:

y+3z=97

Therefore, the equations that represent this system are:

a.) x=2y+10

d.) x=2z+y-40

e.) 2(y+z)-40

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Answer:

[tex] {10}^{32} {10}^{6} = {10}^{38} [/tex]

The correct answer is C) 11 x 10^8.

Scientific notation is a way of writing very large or very small numbers in a compact and convenient form.

To add these two numbers, we need to make sure they have the same exponent. We can do this by converting 7.7 x 10^5 to scientific notation with an exponent of 7:

(3.3 x 10^7) + (7.7 x 10^5) = (3.3 x 10^7) + (7.7 x 10^5) x (10^2 / 10^2)

= (3.3 x 10^7) + (7.7 x 10^7) / 10^2

= (3.3 + 7.7 x 10^-2) x 10^7

= 11 x 10^8

Therefore, the answer is C) 11 x 108.

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Answer:

The total amount Madison should be making in 2 months can be calculated as follows:

Number of cakes sold in 2 months: 5 cakes/week x 4 weeks/month x 2 months = 40 cakes

Number of baked goods sold in 2 months: 10 baked goods/week x 4 weeks/month x 2 months = 80 baked goods

Total revenue from cake sales: 40 cakes x $20/cake = $800

Total revenue from baked goods sales: 80 baked goods x $5/baked good = $400

Total revenue from both cake and baked goods sales: $800 + $400 = $1,200

Therefore, the correct answer is not listed among the options provided. The correct answer should be $1,200.


Did i get it right?

Answer:

c

Step-by-step explanation:

Answer:

0.0875

Step-by-step explanation:

The number of people who will get candy and no drink is 35 people.

and we know that there are 400 people in total.

So it should be 35/400 = 0.0875

When p=4 and t=24 then substituting these values into the equation 6p + 3q = t we get q=0.

To find the value of q in the equation 6p + 3q = t when p = 4 and t = 24, you can substitute the given values into the equation and solve for q. First, replace p with 4 and t with 24

6(4) + 3q = 24

Simplify the left side of the equation

24 + 3q = 24

Subtract 24 from both sides

3q = 0

Divide both sides by 3

q = 0

Therefore, when p = 4 and t = 24, q is equal to 0.

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Answer:

All new reflected coordinates

T (-3, 6)

S (-2, 4)

U (-4, 4)

R (-3, 2)

Step-by-step explanation:

This is because the are reflected sideways on x = 1. This works like a mirror or opening a page of a book if that helps visualise it.

In a regression equation, the estimated coefficients represent the change in the dependent variable for a one-unit increase in the corresponding independent variable, holding all other independent variables constant.

For example, if the estimated coefficient for television advertising is 0.5, then we can interpret it as a $0.5 increase in the dependent variable (such as sales) for every one-unit increase in television advertising expenditure, holding newspaper advertising constant.

Whether the interpretations of the estimated coefficients are reasonable depends on the data and the research question being investigated. It is important to examine the statistical significance, magnitude, and direction of the estimated coefficients, as well as their practical relevance and theoretical soundness, to evaluate the validity and usefulness of the regression model.

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Just add the coordinates of another point to translate it.

Really simple, you have a vector like <f(x), g(x)>  (the vector is defined by functions just because it does not need to be a constant one) that starts at the origin, if you want to translate it to a point (a, b) (so our vector starts there now) just add any point like (a, b) so you get:

<f(x), g(x)> + (a, b) = <f(x) + a, g(x) + b>

Now your vector starts at the point (a, b), so you translated it. So that is the rule to translate vectors by using integer operations.

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The smallest number possible is 42.5 pound.

We have,

42 pounds 8 ounce.

We know 1 pound = 16 ounce

So, 42 pounds 8 ounce

= 42 + 8/16

= 42 + 1/2

= 42+ 0.5

= 42.5 pounds

Now, dividing by 5 we get

= 42.5/5

= 8.5

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To solve problems related to quadratic relations and conic sections, use the following formulae, respectively:

1. ax^2 + bx + c = 0

2. (x - h)^2 + (y - k)^2 = r^2

A quadratic relation is a type of equation in which the highest power of the variable is two. The general form of a quadratic equation is:

ax^2 + bx + c = 0

where a, b, and c are constants and x is the variable.

This is closely related to conic sections which are geometric shapes that can be obtained by intersecting a plane with a double-napped cone. If we assume the equation of a circle with center (h, k) and radius r is, a good equation that can be used to resolve this will be:

(x - h)^2 + (y - k)^2 = r^2.

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The graph of the data from the table is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Jerome is a photographer. He earns $125 per hour

This means that the equation of the function is

f(x) = 125x

Where x is the number of hours he works

Using the above as a guide, we have the following table of values

x    f(x)

1     125

2    250

3    375

4    500

5    625

6     750

Next, we plot the graph from the table of values and the function f(x) = 125x

The graph of the function is added as an attachment

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The operations that are performed with the exponents 2 and 3 in order to simplify the expression include the following:

x²x³ = addition.

(x²)³ = multiplication.

x³/x² = subtraction.

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the addition, division, and multiplication law of exponents for powers to each of the expressions, we have the following:

x²x³ = x⁽³⁺²⁾ = x⁵ (addition).

(x²)³ = x⁶ (multiplication).

x³/x² = x⁽³⁻²⁾ = x (subtraction).

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 In the context of the question, concerning  the convertion of  5.00 x 10² milliliters to quarts is 0.528qt. Hence, the required answer for the given question is Option C.

In order to convert milliliters to quarts, we can implement the conversion factor of 1L = 1.06 qt .

Now using the principles of simple conversion we have

5.00 x 10² milliliters = 0.500 L .

Hence,

0.500 L x (1.06 qt / 1 L) = 0.530 qt .

In the context of the question, concerning  the convertion of  5.00 x 10² milliliters to quarts is 0.528qt. Hence, the required answer for the given question is Option C.

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Answer: 22,050.

Step-by-step explanation: The number of individuals who went on Summer Visit B is given within the moment push of lattice S as 150.

The fetched per individual for Summer Tour B is given within the moment push of matrix T as $145.

Hence, the whole income created from Summer Visit B is:

150 individuals × $145 per individual = $21,750

Answer: y=12

Step-by-step explanation:

So it says 2x - y = 10 so basically we have to find a number that gives you 10 and that number is 12 because 12-2=10.

I hope this helps!

Answer:

  5 meters

Step-by-step explanation:

You want to know the width of a rectangular living room that is 12 m along one side and 13 m along the diagonal.

The diagonal of a rectangle is the hypotenuse of each of the right triangles it creates by dividing the rectangle in half. If one side length is 12 and the diagonal is 13, these measures are part of the {5, 12, 13} Pythagorean triple.

The width of the living room is 5 meters.

__

Additional comment

You can use the Pythagorean theorem to find the missing length:

  13² = 12² +w²

  169 -144 = w²

  w = √25 = 5

The width of the living room is 5 meters.

Other Pythagorean triples you see in algebra, trig, and geometry problems are {3, 4, 5}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41} and their multiples.

The cumulative frequency of the numbers 6-10 is thus 2 + 0 + 1 + 1 + 0 = 4.

To determine the frequency of the numbers 6-10 in this stem-and-leaf plot, examine the second row, which has a stem of 1 and leaves of 0 0 2 3 6 6. This row displays the digits 10, 10, 12, 13, 16, and 16, which correspond to 6 students who sold between ten and nineteen lollipops.

Because 2 of these 6 pupils sold exactly six lollipops (represented by leaf 06), the frequency of the number six is two.

There are no students who sold 7 lollipops exactly.

Because one kid sold exactly eight lollipops (represented by the leaf 08), the number 8 has a frequency of one.

One student sold exactly nine lollipops (represented by the number 9) As a result, the frequency of the number 9 is 1.

Zero students sold a total of ten lollipops.

The cumulative frequency of the numbers 6-10 is thus 2 + 0 + 1 + 1 + 0 = 4.

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Therefore, the simplified form of the given expression is 7/36.

In mathematics, an expression is a combination of numbers, variables, and operators that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve one or more operations or functions. Expressions are an important concept in mathematics and are used in a wide range of applications, from simple arithmetic calculations to advanced mathematical modeling and analysis.

Here,

To simplify this expression, we can multiply the numerators of the fractions and multiply the denominators of the fractions, and then simplify the resulting fraction:

7/8 x 1/3 x 2/3 = (7 x 1 x 2)/(8 x 3 x 3)

= 14/72

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2:

14/72 = (2 x 7)/(2 x 36)

= 7/36

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the Udderly Delicious Cheese Factory uses a total of 550 gallons of milk each day to produce 200 blocks of cheddar cheese and 200 blocks of Swiss cheese.

How to calculate the question?

To calculate the total gallons of milk used by the Udderly Delicious Cheese Factory each day, we need to determine the total quarts of milk used to produce 200 blocks of cheddar cheese and 200 blocks of Swiss cheese.

For the cheddar cheese production, we know that each block requires 5 quarts of milk, so for 200 blocks, the factory would need:

200 blocks x 5 quarts/block = 1000 quarts of milk

For the Swiss cheese production, we know that each block requires 6 quarts of milk, so for 200 blocks, the factory would need:

200 blocks x 6 quarts/block = 1200 quarts of milk

To find the total quarts of milk used by the factory each day, we can add the amount of milk used for cheddar cheese production to the amount used for Swiss cheese production:

1000 quarts + 1200 quarts = 2200 quarts

To convert quarts to gallons, we divide the total quarts by 4, since there are 4 quarts in 1 gallon:

2200 quarts / 4 = 550 gallons

Therefore, the Udderly Delicious Cheese Factory uses a total of 550 gallons of milk each day to produce 200 blocks of cheddar cheese and 200 blocks of Swiss cheese.

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The scale factor used to dilate triangle ABC to triangle A'B'C' is approximately 4. So, correct option is C.

To determine the scale factor used to dilate triangle ABC to triangle A'B'C', we can use the formula:

scale factor = distance(A', B') / distance(A, B)

We can choose any pair of corresponding vertices to calculate the distance, but it's usually easiest to use the endpoints of a side. Let's use points A and A', and points B and B', respectively:

distance(A', B') = √[(12 - (-12))² + (12 - (-12))²] = √(24² + 24²)  ≈ 34

distance(A, B) = √[(3 - (-3))² + (3 - (-3))²] = √(6² + 6²) = 6√2

Substituting these values into the formula, we get:

scale factor = 34 / (6√2) ≈ 4

This means that every length in triangle A'B'C' is 4 times the corresponding length in triangle ABC.

Therefore, Correct option is C.

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On solving the provided query we have   His net pay would be the amount he receives after this $783 has been subtracted from his gross income. This $783 reflects his withholdings.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

The amount that an employer withholds from an employee's paycheck to pay for taxes, insurance premiums, and other deductions like retirement contributions or wage garnishments is known as a withholding. Before the employee receives their net pay—the amount they actually take home after all deductions are done—these deductions are made.

For Miguel, taxes, insurance, and retirement plan payments total $783, and these are taken from each pay period. His net pay would be the amount he receives after this $783 has been subtracted from his gross income. This $783 reflects his withholdings.

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Answer: C. Withholdings

Step-by-step explanation:

just did it and got it right

The area of the composite figure comprising of a semicircle and a parallelogram is about 110.3 square units.

A composite figure is a figure comprising of two or more simple geometric figures.

The figure consisting of a parallelogram and a semicircle is a composite figure, which indicates  that the area of the figure is the sum of the area of the parallelogram and the area of the semicircle

The dimensions of the semicircle includes;

Diameter length, D = 8 units

The area of the circle = π·D²/4

Therefore; Area of the circle = π × (8 units)²/4 = 16·π square units

The dimensions of the parallelogram are;

The length of the base, b = 10 units

The height of the parallelogram, h = 6 units

The area of the parallelogram = b × h

Therefore; Area of the parallelogram = 10 units × 6 units = 60 square units

The area of the figure = 16·π square units + 60 square units ≈ 110.3 square units

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The parallel line cannot have a y-intercept of c because then the lines would be :- The same line.

Parallel lines are two lines in the same plane that are equal distance apart and never intersect.

Two parallel lines have the same slope but different y-intercepts. If one of the parallel lines has a y-intercept of c, its equation is y = mx + c, where m is the slope. The other parallel line's equation would be y = mx + b, where b is a separate y-intercept.

If two lines have the same slope m and y-intercept c, their equations are the same: y = mx + c. As a result, they would be the same line rather than parallel lines.

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Answer:

84

Step-by-step explanation:

This is a combination problem with repetition. Since there is an unlimited number of each type of cookie, we can choose 6 cookies from a pool of 4 types of cookies.

The formula for choosing r items from n types with repetition is:

(n + r - 1)C(r)

Where C is the combination function.

Using this formula, we can calculate the number of ways to choose 6 cookies:

(4 + 6 - 1)C(6) = 9C6 = 84

Therefore, there are 84 ways for Angelina to choose 6 cookies from Sam's Kookie shop, if she can choose any combination of chocolate chip, sugar, oatmeal, and snickerdoodle cookies with unlimited supply.

A completely randomized model in a single factor study means that the assignment of treatments is completely random, with no underlying pattern or bias.

When analyzing the difference in means between treatments in a single factor, a completely randomized model means that each individual or unit in the study has an equal chance of being assigned to any of the treatment groups.

In other words, the assignment of treatments is completely random, with no underlying pattern or bias.

This type of experimental design is important because it helps to minimize the effects of confounding variables and other sources of bias.

By randomly assigning treatments to study participants, researchers can be confident that any observed differences in the outcome variable are due to the treatment itself, rather than to other factors that may vary between the groups.

In statistical analysis, a completely randomized model can be used to test whether there are significant differences in the means between the different treatment groups.

This can be done using methods such as analysis of variance (ANOVA) or t-tests, depending on the number of treatment groups and the type of outcome variable being measured.

Overall, the completely randomized model is an important tool for ensuring that the assignment of treatments in a single factor study is unbiased and that the resulting data are suitable for statistical analysis.

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Answer:

-1/3

Step-by-step explanation:

Use the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to find the slope given the 2 points:

1-2

------

-4-(-7)

-1/3 is your slope