PLEASE HELP
y = 4x-9
y=x-3
Your work using substitution

The net sales of Shauna's company when she calculated the sales for her company using the figures is $66700.

The total of a company's net sales is its gross sales less any returns, allowances, and discounts. Externally, net sales calculations are not always obvious. They can frequently be taken into account when calculating top-line revenues that are shown on the income statement.

The total number of units sold is multiplied by the price per unit for the purpose of calculating gross sales. The term "returns" or "sales returns" refers to products that customers have sent back in exchange for reimbursement.

The nets sales based on the information given will be:

Gross sales = $72900

Less: Retuned sales = $3750

Less Discount = $2450

Net sales = $66700

Therefore, the net sale is $66700.

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Answer:The 95% Rule states that approximately 95% of observations fall within two ... about 95% will be within two standard deviations of the mean, and about 99.7% will be ... Suppose the pulse rates of 200 college men are bell-shaped with a mean of 72 ... 1.2 - Samples & Populations ... 3.5 - Relations between Multiple Variables.

Step-by-step explanation:

Answer:

The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 31 - 1 = 30

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.98}{2} = 0.99\). So we have T = 2.457

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.457\frac{2.9}{\sqrt{31}} = 1.3\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 27.5 - 1.3 = 26.2 years

The upper end of the interval is the sample mean added to M. So it is 27.5 + 1.3 = 28.8 years

The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.

for the purpose of pythagorean identity

What is pythagorean identity ?

We are shown sin as 10/51. You can square the Pythagorean Identity to get the following result:

(sin x)2 + (cos x)2 = 1

sin²x + cos²x = 1

Substituting sin = 10/√51, we get:

(10/√51)² + cos²x = 1

100/51 + cos²x = 1

cos²x = 1 - 100/51

cos²x = 51/51

cos x = √51/51

Cos 0 thus equals 51/51.

There is no need to simplify the fraction any more because it is already in its simplest form.

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Answer:

  a) 7 m

  b) 22 cm

Step-by-step explanation:

Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.

The actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.

  plan : actual = 1 cm : 50 cm

  = 1 cm : 0.5 m

  = 2 cm : 1 m

Multiplying the scale by 7, we have ...

  2 cm : 1 m = 14 cm : 7 m

The actual length is 7 meters.

Multiplying the scale by 11, we have ...

  2 cm : 1 m = 22 cm : 11 m

The plan length is 22 cm.

The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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The direct material price variance of Saskatewan Can Company will be $6552.

From the information given, it should be noted that the direct material price variance will be calculated thus.

Firstly, the actual materials cost will be:

= Actual quantity × Actual price

= 218400 × $0.65

= $141960

The projected materials cost will be:

= 218400 × $0.62

= $135408

Therefore, the price variance will be:

= $141960 - $135408

= $6552

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Answer:

Hey looks like you did'nt post the question

msg me below and ill try to help you

The statement that is true about the function is:

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

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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The probability of randomly choosing a green marble after you have chosen red is 4.4%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Probability;

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore,

The probability of randomly choosing a green marble after you have chosen red is;

= 5/20 * 3/19

= 3/68

percentage = 3/68 * 100 = 4.4%

Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%

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Answer:

9 mm

Step-by-step explanation:

90*0.1=9

Answer:

Step-by-step explanation:

To work out the given expression without a calculator, we need to convert the numbers from their respective bases to decimal form and then perform the arithmetic operations. Let's break it down step by step:

11101010 base 2: To convert a binary number to decimal, we multiply each digit by the corresponding power of 2 and sum the results. So, let's calculate:

1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 234.

2122 base 8: To convert an octal number to decimal, we multiply each digit by the corresponding power of 8 and sum the results. Let's calculate:

2 * 8^3 + 1 * 8^2 + 2 * 8^1 + 2 * 8^0 = 1090.

ABC base 16: To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum the results. Let's calculate:

10 * 16^2 + 11 * 16^1 + 12 * 16^0 = 2748.

123 base 8: We already know that 123 is in base 8 (octal), so we can directly convert it to decimal:

1 * 8^2 + 2 * 8^1 + 3 * 8^0 = 83.

Now, let's perform the arithmetic operations:

234 + 1090 + 2748 - 83 = 3989.

Therefore, the result of the given expression in decimal form is 3989.

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

Answer:

2 apples and 4 bananas

Step-by-step explanation:

Given info:

Question given:

Determine the number of apples, x, and the number of bananas, y, that Juan bought.

Solution:

Since, we know that;

apples = x

bananas = y

Cost of each apple = $1 & Cost of each banana = $ 0.50

Total = 6

The equation that represents the following information:

x + y = 6

x + 0.5y = 4

We can multiply the top equation by -1 so it becomes -x -y = 6

-x - y = 6

x + 0.5y = 4

Now, we can use elimination to cancel out the x.

-0.5y = -2

y = 4

Because y=4, x must be 2 since x+y=6. So,

x = 2 and y = 4

Which means;

Juan bought 2 apples and 4 bananas.

~kavinsky

The range of the graph is,

⇒ Range = { y | - 1 < y < 3 }

The domain of the graph is,

⇒ Domain = { x | - 4 < x < 2 }

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 graph is shown in figure.

Now, We know that;

The range of the graph is the value of y where the function of graph is defined.

Hence, The range of the graph is,

⇒ Range = { y | - 1 < y < 3 }

And, The domain of the function is defined the value of y where the function of graph is defined.

Hence, The domain of graph is,

⇒ Domain = { x | - 4 < x < 2 }

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Answer:

$167.08

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 9.63%/100 = 0.0963 per year,

then, solving our equation

I = 347 × 0.0963 × 5 = 167.0805

I = $ 167.08

The simple interest accumulated

on a principal of $ 347.00

at a rate of 9.63% per year

for 5 years is $ 167.08.

The value of x in the rectangle is 6

The given parameters are

Perimeter = 62

From the figure, we have

Length = 2x

Width = x + 13

The perimeter is calculated as:

P =2 * (L + W)

This gives

2 * (2x + x + 13) = 62

So, we have

2 * (3x + 13) = 62

Divide by 2

3x + 13 = 31

Subtract by 13

3x = 18

Divide by 3

x = 6

Hence, the value of x in the rectangle is 6

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Answer

Explanation

Given:

To write the above given into a single logarithm, we first apply the log rule:

So,

Hence,

Next, we apply the log rule:

This means that:

Hence,

Then, we apply the log rule:

So,

Therefore, the answer is:

Answer:

\( \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2\)

7.48 x 8.33 = 62.3664 pounds are the weight of one cubic foot of water. 1.8 x 62.3664 = 112.26 is the weight of one cubic foot of water. Therefore, 1.8 cubic feet of water weigh about 112.26 pounds.

3 dimensions: 3 by 3 by 3

A space that is 1 foot by 1 foot by 1 foot is called a cubic foot. Add the piece's length, breadth, and height together to get the cubic feet it will hold. For instance, the volume of a dresser that is 4 feet length, 2 feet wide, and 5 feet high is 40 cubic feet.

A Cubic Unit's Operation Each unit cube's dimension of a unit cube(length, width, and height) is one unit. So, one unit of length with one unit of width and one unit of height together make a volume of one cubic unit.

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Answer:

210

Step-by-step explanation:

You can multiply 52 by 4 which is 208.

Next, you can add that to the number 2 which is 210.

Hope this Helps!!! :)

Answer:

-2, - 1, - 2 and - 3

Step-by-step explanation:

As the graph depicts an odd function, it will follow the rule f(-x) = - f(x)

-1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.

To determine the value of "a" for which the function f(x) is continuous at x = 1, we need to check if the left-hand limit and the right-hand limit of f(x) as x approaches 1 are equal, and if the value of f(x) at x = 1 is equal to these limits.

First, let's calculate the left-hand limit of f(x) as x approaches 1. For x < 1, the function is given by f(x) = (ax² - 1). To find the left-hand limit, we substitute x = 1 into this expression:

lim(x→1-) f(x) = lim(x→1-) (ax² - 1) = a(1²) - 1 = a - 1.

Next, let's calculate the right-hand limit of f(x) as x approaches 1. For x > 1, the function is given by f(x) = (a(x² - 2x + 1)). Substituting x = 1 into this expression, we have:

lim(x→1+) f(x) = lim(x→1+) (a(x² - 2x + 1)) = a(1² - 2(1) + 1) = a(1 - 2 + 1) = a.

For the function f(x) to be continuous at x = 1, the left-hand limit and the right-hand limit should be equal. Therefore, we have:

a - 1 = a.

To solve this equation for "a," we subtract "a" from both sides:

-1 = 0.

Since -1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.

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What is a equation in math?

Image result for What is equation?

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

What is a equation in math?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

given:

y=7x-2

first, (3, 15)

15 = 7*3-2 = 21-2 = 19

So, (3, 15) is not the solution.

Second, (-1,-10)

-10 = 7* (-1) -2

-10 = -9

Also, (-1,-10) is not the solution.

Hence, there is no solution for y=7x-2

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Given that each wall is 12 feet long, the perimeter would be: Perimeter = 4 x Length of one side, Perimeter = 4 x 12 feet and Perimeter = 48 feet.

What is rectangle?

A rectangle is a geometric shape that has four sides and four right angles (90 degrees) with opposite sides being parallel and equal in length

The volume of the cardboard box can be calculated by multiplying its length, width, and height. Given that the length is 12 inches, the width is 10 inches, and the height is 4 inches, the volume would be:

Volume = Length x Width x Height

Volume = 12 inches x 10 inches x 4 inches

Volume = 480 cubic inches

So, the volume of the cardboard box is 480 cubic inches.

The length of edging required to go around a circular fountain can be calculated using the formula for circumference of a circle. The diameter of the fountain is given as 6 feet, which means the radius would be half of that, i.e., 3 feet. The circumference can be calculated as:

Circumference = 2 x π x Radius

Circumference = 2 x 3.14 x 3 feet

Circumference = 18.84 feet

So, the length of edging required to go around the circular fountain would be 18.84 feet.

The amount of lace trim required for a circular tablecloth with a radius of 1 meter can be calculated using the formula for circumference of a circle. The radius of the tablecloth is given as 1 meter, and the circumference can be calculated as:

Circumference = 2 x π x Radius

Circumference = 2 x 3.14 x 1 meter

Circumference = 6.28 meters

So, the amount of lace trim required for the circular tablecloth would be 6.28 meters.

The length of crown molding needed for a square room, where each wall is 12 feet, would be equal to the perimeter of the square room. The perimeter of a square is calculated by multiplying the length of one side by 4. Given that each wall is 12 feet long, the perimeter would be:

Perimeter = 4 x Length of one side

Perimeter = 4 x 12 feet

Perimeter = 48 feet.

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Answer:

\(5x-y+7z-38=0\)

or

\(5x-y+7z=38\)

Step-by-step explanation:

Given vector equation:

\(\textbf{r} = \textbf{i} - 5\textbf{j} + 4\textbf{k} + \lambda(3\textbf{i} + \textbf{j} - 2\textbf{k}) + \mu(-\textbf{i} + 2\textbf{j} + \textbf{k})\)

The vector 3i + j - 2k is perpendicular to n.

The vector -i + 2j + k is perpendicular to n.

\(\textsf{So}\;\;\textbf{n}=\left|\begin{array}{ccc}\textbf{i}&\textbf{j}&\textbf{k}\\3&1&-2\\-1&2&1\end{array}\right|\)

        \(=\textbf{i}\left|\begin{array}{rr}1&-2\\2&1\end{array}\right|-\textbf{j}\left|\begin{array}{rr}3&-2\\-1&1\end{array}\right|+\textbf{k}\left|\begin{array}{rr}3&1\\-1&2\end{array}\right|\)

        \(=\textbf{i}(1 \cdot 1 - (-2) \cdot 2)-\textbf{j}(3 \cdot 1-(-2) \cdot (-1))+\textbf{k}(3 \cdot 2-1 \cdot (-1))\)

        \(=\textbf{i}(1 +4)-\textbf{j}(3-2)+\textbf{k}(6+1)\)

        \(=5\textbf{i}-\textbf{j}+7\textbf{k}\)

So the equation of the plane written in Cartesian form is:

\(5x-y+7z+d=0\)

Substituting (1, -5, 4) gives:

\(5(1)-(-5)+7(4)+d=0\)

\(5+5+28+d=0\)

\(38+d=0\)

\(d=-38\)

Therefore, the given vector equation in Cartesian form is:

\(5x-y+7z-38=0\)

or

\(5x-y+7z=38\)