Simplify the expression.
768x^8y^5
O A. 42³y32²
O B. 2xy² √2x
OC. 4x²y3y
O D. 4x²y3x²y

The equation of line which describe how x and y are related is,

⇒ y = 5x + 3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the table are (-1, -2) and (0, 3).

Now,

Since, The equation passes through the points (-1, -2) and (0, 3).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - (-2)) / (0 - (-1))

m = 5 / 1

m = 5

Thus, The equation of line with slope 5 is,

⇒ y - (-2) = 5 (x - (-1))

⇒ y + 2 = 5 (x + 1)

⇒ y + 2 = 5x + 5

⇒ y = 5x + 5 - 2

⇒ y = 5x + 3

Therefore, The equation of line passes through the points (-1, -2) and

(0, 3) will be;

⇒ y = 5x + 3

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The number of students present at the dinner is 17

As stated in the question, a group of students had dinner at a local restaurant.

The total bill for the dinner was $364.99 and each student paid an equal share of the bill which is $21.47. according to the question we have to find the number of students present at the dinner,

To find the number of students we have to divide the total bill by the amount paid by each student,

Let the number of students who were present at the dinner be x

Now number of students = total bill/amount paid by each student

Hence, x = $364.99 ÷ $21.47

So the value of x is 17

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Answer:

Ariana's percentage of lemon cups is 85%.

Andre's percentage of lemon cups is 48%.

Step-by-step explanation:

Ariana:

Lemon cups = 17

Total cups = 17 + 3 = 20

Percent of lemon cups.

= 17/20 x 100

= 17 x 5

= 85%

Andres:

Lemon cups = 10

Total cups = 11

Percent of lemon cups. = 10/21 x 100 = 48%

The caramel topping demand curve will not change:

The cost of caramel topping is falling; there will be an increase in demand for caramel topping:

Butterscotch topping costs more money;

There will be less demand for caramel topping:

Ice cream now costs more money.

The quantity of caramel topping demanded would increase if the price of the topping dropped. Consequently, the demand curve for caramel topping would go lower.

Ice cream and caramel toppings are complementary products.

Products that are consumed together are said to be complementary.

The amount of ice cream demanded would drop if the price went up. There would be a drop in the number of caramel toppings needed as a result of the fall in demand.

a decline in the popularity of caramel toppings. With less demand, the demand curve for caramel toppings would move inward.

Butterscotch and caramel ice cream toppings serve as stand-ins.

Products that can be used in place of one another are known as substitute goods.

The quantity demanded for butterscotch topping would decline if the price of butterscotch topping rose, making it more expensive overall. Customers might switch to caramel topping. As a result, demand for caramel topping would rise and the demand curve would move outward.

Demand curve: what is it?

The demand curve is a graphical representation of how the cost of an item or service relates to how much is demanded over a given period of time.

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The required unknown fraction for four-tenths plus thirty-eight hundredths equals seventy-eight hundredths. Option C is correct.

A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers. In a fraction, the top number is referred to as the numerator, while the bottom number is referred to as the denominator.

Here,

The unknown fraction can be found by adding the given fractions:

=4/10 + 38/100
= [40 + 38]/100
= 78/100

Thus, the unknown fraction is seventy-eight hundredths.

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the condition number of your matrix is about . what could your worst-case relative error in the solution be due to your use of the wrong equation  s = (w − rh)/c

Undo what is done to the variable. It is multiplied by c and rh is added to that product.

 cs +rh = w . . . . . given

 cs = w -rh . . . . . undo the addition of rh: add -rh to both sides

 s = (w -rh)/c . . . . undo the multiplication by c: divide both sides by c

Additional comment

Each entire side of the equation is divided by c. That means the entire expression (w-rh) is divided by c. It is incorrect to write that division as w-rh/c. The division bar (/) in plain text only refers to the immediately preceding and the immediately following tokens as its operands. When the expression is typeset, the division bar serves as a grouping symbol, showing you the entire numerator.

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Answer:

Hello!

a) Melody's average 4 year salary = (56,000 + 60,000 + 73,000 + 75,000) / 4

= 264,000 / 4

= 66,000

So, Melody's average 4 year salary is $66,000.

Step-by-step explanation:

Melody has worked for 30 years at Fancy Pet magazine and is planning to retire at the end of the year. As per her employer's pension formula, she will receive 2.5% of her average salary over the last four (4) years of employment for every year worked.

To calculate Melody's average salary over the last four years, we first need to add up her salary from the last four years: 56,000 + 60,000 + 73,000 + 75,000 = 264,000. Then, we divide this sum by 4 to find the average: 264,000 / 4 = 66,000.

Therefore, Melody's average 4 year salary is $66,000. With this information, we can calculate the amount of pension she will receive based on her years of employment and the pension formula offered by her employer.

The area of the circle is 530.66 cm².

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

Radius = 13 cm

π = 3.14

Now,

Area = πr²

Area = 3.14 x 13²

Area = 3.14 x 169

Area = 530.66 cm²

Thus,

The area is 530.66 cm².

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Answer:

Step-by-step explanation:

Answer:

You are

Step-by-step explanation:

25% is 1/4 of the total value

100/400 = 1/4

So, 100g is 25%

25% * 3 = 75%, so 100 * 3 = 300

Thus, you are correct.

I have no idea how to explain where 'your friend' went wrong :D

Hope this helped!

Yes, the flights can take off at this temperature.

Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness.

Given is that on a normal day the temperature at an airport is 20ºF.

Yes, flights can take off at this temperature. Commercial airplanes can cruise at an altitude of nearly 40,000 feet, where temperatures hover around -70 degrees Fahrenheit.

Therefore, Yes, the flights can take off at this temperature.

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{Complete question in english -

On a normal day the temperature at an airport is 20ºF. Indicate if the flights will be able to take off. Explain}

The other angles of the triangle are x = 28° and y = 62°. The result is obtained by using the trigonometric ratios.

Where opp is opposite, hyp is hypotenuse, and adj is adjacent.

In Pythagorean Theorem, the triangle is a right triangle. It means that one angle is 90° and two others added equal to 90°. The two angles can be found by the trigonometric ratios.

A triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

Find the measures of the other 2 angles! (x and y)

Let θ = x.

sin x = opp/hyp

sin x = 8/17

x = 28°

If x = 28, then y will be

y = 180 - (90 + 28)

y = 180 - 118

y = 62°

Hence, the right triangle has the other angles of 28° and 62°.

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The values of the spaces in columns are x,a,b,c,y which is equal to 0.46, 0.43, 0.06, 0.11, 0.51 respectively

Remember that the probability of the certainty of an event is equal to 1

Lethe spaces be labelled according to the table:

                      right hand          left hand         total

7th grade          x                           0.05             y

8th grade          a                              b              0.49

Total                 0.89                          c               1.00

To find the value of y:

y + 0.49 = 1.00

Making y the subject of the relation

y = 1.00-0.49

y = 0.51

To find the value of x:

x + 0.05 = 0.51

Making x the subject of the formula

x = 0.51-0.05

x= 0.46

To find the value of a:

x+a = 0.89

0.46+a = 0.89

Making a the subject we have

a = 0.89-0.46

a = 0.43

To find the value of b:

0.43+b = 0.49

Making b the subject of the relation

b= 0.49-0.43

b= 0.06

To find the value of c:

0.89+c = 1.00

Collecting like terms

c = 1.00-0.89

c= 0.11

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The total cost predicted for a month with 2,000 units of production  using the equation of the regression line $197,042.

The total cost predicted by Star, Inc. for a month in which production is 2,000 units would be calculated using the equation of the regression line:

y = intercept + (slope * x)

where y is the total cost, x is the production, intercept is the y-intercept (174,182), and slope is the coefficient of production (11.93).

Plugging in the values, we get:

y = 174,182 + (11.93 * 2,000) = 174,182 + 23,860 = 197,042

So the total cost predicted for a month with 2,000 units of production is $197,042.

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Answer:

$1,000 to the nearest dollar

Step-by-step explanation:

We can use the formula for compound interest to calculate the amount that Khalil would need to invest:

A = P * (1 + r/n)^(nt)

where A is the final amount, P is the initial amount (the amount invested), r is the interest rate as a decimal (6.6% = 0.066), n is the number of times compounded in a year (daily = 365), t is the number of years, and ^ is the exponent operator.

We want to find P, so we can rearrange the formula:

P = A / (1 + r/n)^(nt)

Plugging in the values:

P = $1,470 / (1 + 0.066/365)^(365 * 9)

Calculating this expression to the nearest dollar, we get P = $1,000.

So, Khalil would need to invest $1,000, to the nearest dollar, in order for the value of the account to reach $1,470 in 9 years

The output y in terms of x is y > x/7.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made;

Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics;

Given;

The equation;

x/4+3 = y

Now, y = x/7

y>x/7

Therefore, the inequality will be y>x/7;

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Triangle ABC with a hypotenuse of 7 units and angle B equal to 70 degrees,

Since triangle ABC is a right triangle and angle B is 70 degrees, it can be deduced that angle C must be 90 - 70 = 20 degrees.

assuming

length of side AC  = a

length of side BC = b.

Using the Pythagorean theorem, we can find the values of a and b.

a^2 + b^2 = 7^2

a^2 = 7^2 - b^2

a = √(7^2 - b^2)

Using the tangent function

tan C = b/a

tan 20 = b/√(7^2 - b^2)

Solving for b, we get:

b = tan(20) * √(7^2 - b^2)

We can use numerical methods to find the approximate value of b. Using a calculator, we can find that b is approximately 4.7. Rounding to the nearest tenth, b is 4.7 units.

Finally, using the Pythagorean theorem again, we can find the value of a:

a^2 + b^2 = 7^2

a^2 = 7^2 - b^2 = 7^2 - 4.7^2

a = √(7^2 - 4.7^2)

a = √(7^2 - 22.09)

Using a calculator, we can find that a is approximately 5.3. Rounding to the nearest tenth, a is 5.3 units.

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The number of cubes fitted in the storage box is 448.

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given:

Edge length of cube = 1/2 inch

So, volume of a cube = (Side)³

                                    = (1/2)³

                                    = (1/8)

Now, Volume of the storage box = 56 cubic inches.

So, number of cubes fitted in the storage box

= Volume of the storage box / volume of a cube

= 56/ (1/8)

= 56 x8

= 448 cubes

Hence, number of cubes fitted is 448.

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Answer:

C

Step-by-step explanation:

slope is 3/2  - use any diff in Y divide by diff in x, easiest one is BC/BA = 3/2

the line goes upwards, so slope must be positive

every triangle has the same slope cause their long sides share the same line

only C is right

Answer: The slope answer is A but my also have an extra which is e so C an E are the correct answer

Step-by-step explanation:

I just did them and it was correct hope it help :)

Its 200%

2.00 is 100% of $2.00. So, $4.00 is 200% of $2.00, or double

The solution is, for, x = -1, 0, 1, 3, the value of f(x) is, -1, 2, 5, 11.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

f^-¹(x) = 1/3(x) - 2/3

so, by solving we get,

the real function is,

f(x) = 3x+2

as, we get,

let, y= f^-¹(x)= x/3 - 2/3

i.e. x = 3y+2

so, we get , inverse of f^-¹(x) is, f(x)

now, f(x)= 3x+2

Hence, The solution is, for, x = -1, 0, 1, 3, the value of f(x) is, -1, 2, 5, 11.

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The minimum number of degrees needed to carry the pentagon onto itself is 72.

A polygon having 5 sides and 5 angles are called a pentagon. Two terms, Penta and Gonia, both of which denote five angles, combine to form the word "pentagon." From end to end, the sides of a pentagon come together to form a shape. Consequently, there are five sides to a pentagon. The Pentagon has five sides, as far as we know.

Any polygon's outside angles now total 360 degrees. The minimal number of degrees needed to carry the pentagon inward is therefore = 360/5 = 72° if we rotate the pentagon counterclockwise around its center.

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La pieza de hierro pesó (2 + 2/8) libras más que la pieza de aluminio.

Para ver esto, debemos tomar la diferencia entre los pesos de las dos piezas de metal.

Sabemos que:

La diferencia entre esos valores nos dará:

(9 + 3/8) libras - (7 + 1/8) libras.

Podemos reagrupar los numeros como:

(9 - 7) libras + (3/8 - 1/8) libras

2 libras + 2/8 libras

(2 + 2/8) libras

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Approximately 90.7% of measurements will be between 31.88 and 41.54.

To find the percentage of measurements that will be between 31.88 and 41.54, we need to use the standard deviation to find the number of standard deviations away from the mean that 31.88 and 41.54 are, and then use a standard normal table to find the corresponding proportion of data within that range.

First, we'll find the z-score for 31.88:

z = (31.88 - 36.71) / 3.22 = -1.49.

Similarly, the z-score for 41.54 is:

z = (41.54 - 36.71) / 3.22 = 1.34.

Now we can use a standard normal table to find the proportion of data between -1.49 and 1.34 standard deviations from the mean. This proportion is approximately 0.907, meaning that approximately 90.7% of measurements will be between 31.88 and 41.54.

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In mass, the weight more than aluminum that the iron piece weighs is 2 pounds

First, convert the weight of the pieces to improper fractions by multiplying the denominator with the mixed portion of the fraction and then adding the numerator.

The weight of the iron piece is:

= ( 9 x 8 + 3 ) / 8

= 73 / 8 pounds

The weight of the aluminum piece is :

= ( 7 x 8 + 1 ) / 8

= 57 / 8 pounds

The difference in weight is:

= 73 / 8 - 57 / 8

= 16 / 8

= 2 pounds

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It is referred to as "simple random sampling" when a sample of size n is taken from such a population of size N and any conceivable sample of that size has an equal likelihood of occuring.

A selection of participants from such a population are chosen at random by the researcher using simple random sampling, a sort of probability sampling.

Thus, it is referred to as "simple random sampling" when a sample of size n is taken from such a population of size N and any conceivable sample of that size has an equal likelihood of occuring.

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The percentage of the time will its value falls in the indicated region are (a) 68.54%, (b) 95.44%, (c) 95.99%, (d) 99.48%, (e) 5.54%, (f) 97.19%, and (g) 15.96%.

(a) The percentage of time that a variable with 10 degrees of freedom will fall between -1.81 and 1.81 is 68.54%.

(b) The percentage of the time that a variable with 10 degrees of freedom will fall between -3.17 and 3.17 is 95.44%.

(c) The percentage of the time that a variable with 24 degrees of freedom will fall between -2.06 and 2.06 is 95.99%.

(d) The percentage of the time that a variable with 24 degrees of freedom will fall between -3.75 and 3.75 is 99.48%.

(e) The percentage of the time that a variable with 23 degrees of freedom will fall outside the interval from -2.81 to 2.81 is 5.54%.

(f) The percentage of the time that a variable with 24 degrees of freedom will fall to the right of 2.80 is 97.19%.

(g) The percentage of the time that a variable with 10 degrees of freedom will fall to the left of -1.81 is 15.96%.

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--The given question is incomplete; the complete question is

"Given a variable that has a t distribution with the specified degrees of freedom, what percentage of the time will its value fall in the indicated region? (Round your answers to one decimal place.)

(a) 10 df, between -1.81 and 1.81

(b) 10 df, between -3.17 and 3.17

(c) 24 df, between -2.06 and 2.06

(d) 24 df, between -3.75 and 3.75

(e) 23 df, outside the interval from -2.81 to 2.81

(f) 24 df, to the right of 2.80

(g) 10 df, to the left of -1.81"--

Answer:

2x x 3y x 3x is 18x4y  hope it helps

Step-by-step explanation:

The value of angle A is 100⁰.

option D is the correct answer.

The measure of angle A is calculated by applying the following formula as shown below;

If line AB is similar to line AC, then angle B must be equal to angle C.

∠ B = ∠ C = 40 ⁰

The value of angle A is calculated as follows;

∠ A = 180⁰ - ( ∠ B + ∠ C ) ( sum of angles in a triangle )

∠ A = 180⁰  -  ( 40⁰ + 40⁰ )

∠ A = 180⁰ - ( 80 ⁰ )

∠ A = 100⁰

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Answer: 816.4 [tex]ft^2[/tex]

Step-by-step explanation: The formula is A=2[tex]\pi[/tex]rh