Find the values of x and y.

THE percent error is, 5

hence,THE percent error is, 5

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The absolute value of the expression given as -2i  is 2i

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

Expression = -2i

The absolute value of an expression is represented as

Absolute value = |Expression|

Substitute the known values in the above equation, so, we have the following representation

Absolute value = |-2i|

Evaluate the expression

Absolute value = 2i

Hence, the result of the expression is 2i

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Answer:

P(les than/equal to 3): ½

the equation of the perpendicular line is x = 4, as the line vertical and the slope is undefined

The point-slope formula is expressed as

y - y₁ = m( x - x₁ )

The slope intercept formula is expressed as;

y = mx + b

Where m is the slope and b is y-intercept.

Given the data in the question;

First, we determine the slope of the initial line by comparing to the slope intercept form y = mx + b

y = -2

Hence

Slope of initial line m = 0

Slope of the perpendicular line will be negative reciprocal of the initial line

m = -1/0

Slope m is undefined

Therefore, the perpendicular line is vertical and the slope is undefined

Hence.

x = 4.

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There are many things obstructing the route so yes. I cannot give a detailed answer as I have not been given the "distance formula" sorry

Tony has 10.5 cookies.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order term, where m is the slope and b is the y-intercept.

Given that, Adam has 6 cookies less than Tony, there are a total of 15 cookies between both of them.

Let the number of cookies Tony has be x,

x+x-6 = 15

2x - 6 = 15

2x = 21

x = 21/2 = 10.5

Hence, Tony has 10.5 cookies.

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Answer:

3

Step-by-step explanation:

first factor out both the numbers

12:2*2*3

39:3*13

find the common ones and multiply them together

they both share only 3, so 3

The number of students who wore School colors are 8/13. If, Ratio of  students who wore School colors to the number of students who didn't are given.

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent. A ratio compares two numbers by division. A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

Given,

Ratio of  students who wore School colors to the number of students who didn't

8:5

Total number of student = 13

Number of students who wore school colors = 8/13

The number of students who wore School colors are 8/13. If, Ratio of  students who wore School colors to the number of students who didn't are given.

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Answer: 7y = 38.11111111111   2y = 10.8888888889 the sum of these two equals to 49 so 11-49=-38 Hopefully you understood. But I didn't know what you wanted to know from this?

Step-by-step explanation: 11-(7y+2y)=-38

7y+2y=9y (basic math)

11-9y=-38  then you want to move -38 to the other side, and when you move it to the other side it changes its value then from -38 it becomes 38. Same for the -9y, we move it to the other side and it changes its value so now from -9y its 9y. So now are equation should look like this 11+38=9y.   11+38=49 => y=49÷9   y=5.44444444444   (49÷9) x 7 = 38.1111111111 and (49÷9) x 2 = 10.8888888889      

Part 1

[tex]\frac{x}{3.2}=\frac{4}{2} \implies x=6.4 \\ \\ \frac{y}{2.4}=\frac{2}{4} \implies y=1.2[/tex]

Part 2

[tex]\frac{x}{3.6}=\frac{10.8}{5.4} \implies x=7.2 \\ \\ \frac{y}{5.4}=\frac{15.2}{10.8} \implies y=7.6[/tex]

The Original price of barbecue grill is 96.325.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The final cost  barbecue grill is $79.95.

Discount = 25%

and Tax = 8%

let the original price be x

x- 0.25x + 0.08x = 79.95

0.83x = 79.95

x= 79.95/0.83

x = $96.325

Hence, the Original price of barbecue grill is 96.325.

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By using Pythagoras Theorem, it can be verified that

The hypotenuse of a triangle with shorter sides 1 unit each is not an integer

What is Pythagoras Theorem?

Pythagoras Theorem states that in a right angled triangle, the square of the hypotenuse is equal to the square of the sum of Perpendicular and base

According to the question given,

Shorter sides are 1 unit each

Let the length of the hypotenuse be h units

By Pythagoras Theorem,

[tex]h^2 = 1^2 + 1^2\\h^2 = 2\\h = \sqrt{2} \ units[/tex]

[tex]\sqrt{2}[/tex] is not an integer

So the hypotenuse here is not an integer.

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Answer:

10^3 = 1000

Step-by-step explanation:

10 * 10 * 10 = 1000

Answer:

1000

Step-by-step explanation:

it is ten to the third power so 10*10*10  and then you get the answer of:

1000

I hope this helped!

Answer:

Hope the picture will help you

If the temperatures on Earth continue to increase, the change in the pie graph would be C. Less than 2% of the Earth's water will be in polar ice caps.

The temperature of Earth has risen significantly in the last century as a result of human activity. This had led to the loss of polar ice caps due to them having melted into the oceans from the high temperatures.

This means that if the temperature of the planet should continue to increase, the polar ice caps we have will further be depleted. This would lead to less than 2% of the Earth comprising polar ice caps as is the case now.

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If  the total amount of period costs incurred to sell 9,000 units is closest to: D) $49,500.

First step is to find the variable selling and administrative expense per unit

Sales commissions $ 0.50

Add variable administrative expense 0.50

Variable selling and administrative expense per unit $ 1.00

Now let find the total amount of period costs

Total variable selling and administrative expense $9,000

($1.00 per unit × 9,000 unit)

Add total fixed selling and administrative expense 40,500

Total period cost $ 49,500

Therefore the correct option is D.

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The complete question is:

Shelp Corporation has provided the following information:

Cost per Unit Cost per Period

Direct materials $ 7.15

Direct labor $ 3.35

Variable manufacturing overhead $ 1.40

Fixed manufacturing overhead $ 81,000

Sales commissions $ 0.50

Variable administrative expense $ 0.50

Fixed selling and administrative expense $ 40,500

For financial reporting purposes, the total amount of period costs incurred to sell 9,000 units is closest to:

A) $33,000

B) $9,000

C) $40,500

D) $49,500

₁₁C₈ * ₄C₃ as related to permutations is ₁₁P₈ / 8! * ₄P₃ / 3!

The term combination refers to a method of choosing where order does not matter. an instance forming 3 letter word from ABC. the combination is ₃C₃ = 1

In permutation, order matters hence in choosing or making selection specific order should be followed. an instance here is arranging the 3 letters word from ABC. ₃P₃ = 6

All the items above are different permutations however for combination they are same.

The difference mathematically is dividing by the number of arrangements

₃C₃ = 3! / (3!(3-3)!) = 3! / (3!* 0!) = 3! / 3! = 1

₃P₃ = 3! / (3-3)! = 3! / (0!) = 3! / 1 = 3! = 6

Therefore ₃C₃ = ₃P₃ / 3!

similarly

₁₁C₈ * ₄C₃ = ₁₁P₈ / 8! * ₄P₃ / 3!

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Answer:(3-i) - (2 +6i)

Combine like terms:

3-2 = 1

-i  -  6i = -7i

Combine to get 1 -7i

Step-by-step explanation:

Solution of the given equation x² -6x +10 =0 using quadratic formula or perfect square method is same in complex number and is equal to   3 + i or 3 - i.

As given in the question,

Given equation is:

x² -6x +10 = 0

Complex number i² = -1

Using perfect square method:

x² -6x + 9 +10 -9 =0

⇒x² -6x +9 =-1

⇒ (x - 3)² = (i)²

⇒x-3 = ± i

⇒ x= 3 ± i

Using quadratic formula,

x = [ -(-6) ±√ (-6)² -4(1)(10)] / 2(1)

  =( 6 ± √-4)/ 2

  = (6± √4i²) /2

  = (6 ± 2i) / 2

  = 3 ± i

Therefore, solution of the given equation x² -6x +10 =0 using quadratic formula or perfect square method is same in complex number and is equal to 3 + i or 3 - i.

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The features of the functions when a quadratic function is given in the form: y = a (x − p) (x − q)

y = value in the y coordinates

a = constant in the equation

p and q = zeros or roots

x = value in the x coordinates

When quadratic equation is written of the form y = a (x − p) (x − q), it is called the factored form of quadratic equation

The other form is ax^2 + bx + c and called standard form of quadratic equation

a in both cases are same and it helps to da if the curve opens upward or downward

when a is positive the curve opens upward but when it is negative the curve opens downward

Expanding the factored form of quadratic equation brings the equation to the standard form

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Step-by-step explanation:

Jim has 65 coins in his pocket. All of the coins are nickels and dimes. If the total value of his coins is $5.10, how many nickels or dimes does he have?

nickels = n

dimes = d

We use:

d + n = 65

0.10d + 0.05n = 5.10

solve for d:

d + n = 65

d + n - n = 65 - n

d = 65 - n

substitute in for the second equation: d = 65 - n

0.10(65 - n) + 0.05n = 5.10

6.5 - 0.10n + 0.05n = 5.10

6.5 - 0.05n = 5.10

6.5 - 0.05n - 6.5 = 5.10 - 6.5

- 0.05n= -1.4

n = 28

so there are 28 nickels

Now, solve for d: when n = 28

d + n = 65

d + 28 = 65

d = 37

so there are 37 dimes

Jim has 28 nickels and 37 dimes in his pocket. which is determined by the substitution method.

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

Let the number of nickels would be n

Let the number of dimes would be d

As per the given question,

d + n = 65  ....(i)

0.10d + 0.05n = 5.10  ....(ii)

From equation (i),

d + n = 65

d + n - n = 65 - n

d = 65 - n

Substitute in for the equation(ii): d = 65 - n

0.10(65 - n) + 0.05n = 5.10

6.5 - 0.10n + 0.05n = 5.10

6.5 - 0.05n = 5.10

6.5 - 0.05n - 6.5 = 5.10 - 6.5

- 0.05n = -1.4

n = 28

This means there are 28 nickels

Substitute the value of n = 28 in the equation (i),

d + n = 65

d + 28 = 65

d = 37

So there are 37 dimes

Thus, Jim has 28 nickels and 37 dimes in his pocket.

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Answer: im pretty sure the answer is c

Step-by-step explanation:

if the answer is  not c im sorry but i hope this helps! Have a good day!

Solving for X the value is = 45, 6

acc to our question-

90/x=90/x+15+1/2

(15-x)90 - 90x/15x-x^2 = 5

x= 45 or 6

hence, for X the value is = 45, 6

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Answer:

Step-by-step explanation:

x²-4x+2=0

x²-4x=-2

x²-4x+4=-2+4

(x-2)²=2

x-2=±√2

x=2±√2

x=2+√2≈2+1.41≈3.41

x=2-√2≈2-1.41≈0.59

so roots lie between 0 and 4.

a) An equation relating the miles traveled to gallons of gas used is m = 14g.

b) With 3.7 gallons of gas, one can drive up to 51.8 miles.

An equation is a mathematical statement that makes two mathematical expressions equivalent or equal using the equation symbol (=).

Equations establish the equality of two or more values, variables, or numbers.

The total distance driven on one tank of gas = 168 miles

The quantity of gas used = 12 gallons

The number of miles per gallon of gas = 14 (168/12)

Let m = distance in miles

Let g = gallons of gas used

Equation: m = 14g

Solution:

Gallons of gas used = 3.7

m = 14g

= 14(3.7)

= 51.8 miles

Thus, based on the established equation, with 3.7 gallons of gas used, the driver can cover 51.8 miles.

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Answer:

d is great than -3

Step-by-step explanation:

because negative numbers are less than whole numbers

Answer: y+7=-4(x-2)

Answer: y+7=-4(x-2)

An inequality that can be solved to show the number of chairs c Mrs. Smith can buy 8c ≤ 56

In this question we have been given Mrs. Boyer is buying folding chairs that are on sale for $8.

She has $56

We need to find an inequality that can be solved to show the number of chairs c Mrs. Smith can buy.

A price of one chair is $8

So, the price of 'c' number of chairs would be 8c

But she has $56

So, to find the number of chairs she can buy, we need to divide 56 by 8

We can write is as 8c = 56

⇒ c = 7

But she might buy less that 7 chairs.

So, we write above relation in inequality form as,

8c ≤ 56

Therefore, an inequality that can be solved to show the number of chairs c Mrs. Smith can buy 8c ≤ 56

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Using the t-distribution, it is found that:

a)

b)

The bounds of the confidence interval are given according to the rule presented as follows:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the variables of the equation are listed as follows:

The margin of error of the interval is:

[tex]M = t\frac{s}{\sqrt{n}}[/tex]

Then the interval can be interpreted as the sample mean plus/minus the margin of error.

For the confidence interval in this problem, using a calculator, the parameters are given as follows:

[tex]\mu = 1280.1111, s = 33.5799, n = 9[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 9 - 1 = 8 df, is t = 1.86.

Then the margin of error of the interval is:

M = 1.86 x 33.5799/sqrt(9) = 21.

Then the bounds of the interval are:

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