Simplify to a single trig function

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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On solving the provided question, we can say that - y proportional to  as the cube of s, y = ks3, then  8 = k * 23 => k = 1 then y  = 1 * 53 = 125

If two numbers are directly proportional, then as one quantity grows by a specific percentage, so does the other quantity by the same percentage. As an illustration, as gas costs rise, the price of food may also increase. If the ratio of two values x to y never changes, then x and y are said to be directly proportional to one another. example: Let's say you spend Rs. 50 on two pens. 4 pens cost 100 rupees each. If the ratio of two numbers, x and y, is greater than 1, then the two values The value of y1 is constant.

Since y proportional to  as the cube of s, y = ks3.

8 = k * 23 => k = 1

then y  = 1 * 53 = 125

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Answer:

x= 3 and -1

Step-by-step explanation:

[tex]f(x) = {x}^{2} - 2x - 3[/tex]

add three to both sides

[tex]3 = {x}^{2} - 2x[/tex]

figure out what half of -2 is

half of -2 is (-1) than square that (-1)^2=1

the 1 is what you add to both sides

[tex]3 + 1 = {x}^{2} - 2x + 1 \\ 4 = {(x - 1)}^{2} [/tex]

than take the square root of both sides

[tex] \sqrt{4} = \sqrt{ {(x - 1)}^{2} } [/tex]

this than equals

+2=x-1

than to find the x values

2=x-1

+1 +1

3=x

-2=x-1

+1 +1

-1=x

Answer:

False

Step-by-step explanation:

6/8=3/4=0.75 not 0.750750750750...

Answer:

False

Step-by-step explanation:

The fraction in decimal form will be 0.75 and not a repeating decimal.

Answer: 1. Trapezoid. 2 scalene 3: 24  4: Q and R

Step-by-step explanation:

1 is trapzoid because there's only one parallel side. 2 is scalene since scalene triangles have no same sides. 3 is 24 because 4*2*3. 3 is Q and R because those sides are the same.

The total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].

Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).

Given is that George peels and eats 2 whole satsumas. He then splits another satsuma into 6 equal segments and eats 1 of these segments.

The total number of satsumas eated by him can be written as -

2 + 1/6

2[tex]\frac{1}{6}[/tex]

Therefore, the total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].

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Answer:

The other complementary angle measures 40 degrees.

Step-by-step explanation:

Given that one of the angles of a pairs of complementary angles is 50 degrees, to find the ratio of the pair of complementary angles, the following calculation must be performed, knowing that the sum of two complementary angles is equal to 90 degrees:

X + 50 = 90

X = 90 - 50

X = 40

Therefore, the other complementary angle measures 40 degrees.

The measure of decimal number is 2 tenths + 5 thousandths is 0.205.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

Given expression

2 x 0.1 + 5 x 0.001

the expanded form is 2 tenths + 5 thousandths

= 2/10 + 5/1000

multiply and divide by 100 in 2/10

we get 200/1000

now 200/1000 + 5/1000 = 205/1000 = 0.205

Hence value of expression is 0.205.

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Answer:

48

Step-by-step explanation:

20 percent off of 60 is 48

Sixty is 20 percent more than 50.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Let's call the unknown number x.

We know that 60 is 20% more than x, which can be written as:

60 = x + 0.2x

Simplifying:

60 = 1.2x

Dividing both sides by 1.2:

x = 50

Therefore, 60 is 20% more than 50.

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On solving the value of provided question we can say that - the value of the slope intercept y = -3.

The point on the y-axis where the slope of the line passes is known as the intersection point in mathematics. the location on a line or curve where the y-axis crosses that point. This is demonstrated by putting y = mx+c as the equation for the straight line, where m denotes the slope and c the y-intercept. In the intercept form of the equation, the slope (m) and y-intercept (b) of the line are highlighted. The slope is m, and the y-intercept is b for equations in the intercept form (y=mx+b). Additionally, certain equations may be recast to seem like slope intercepts. For instance, if y=x is rewritten as y=1x+0, the slope becomes 1 and the y-intercept becomes 0.

as we can see from graph that,

line passes through origin, so x= 0

the, y = -5x - 3

y = -3

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Answer:

Analysis for these data will be based on a __survey__ design.

Step-by-step explanation:

A survey design is a process through which surveys are conducted to acquire enough insight about a given situation or matter of interest.  In this case, the National Park Service's interest is finding out the amount of money that visitors in the two different national parks spend.  Visitors are sampled from each park to get the required information.  The mean spends are calculated and then compared.

Answer: A

The circumference formula for a circle is 2 x pi x r. So if the radius is 10 then 2 x 10 = 20. Then 20 x pi.

Hope it helps.

The circumference of the garbage can will be 20 x π inches

The circumference of a circle or oval in geometry is its perimeter. That is, if somehow the circle were expanded out and squared out to a line segment, the perimeter would be the lengths of the arc. The curve distance around any closed image is more often referred to as the circumference.

Let 'r' be the radius of the circle that is 10 inched.

The circumference of the circle will be

C = 2πr units

The radius of the garbage can is 10 inches. Then the circumference of the garbage can is calculated as,

C = 2πr

C = 2 x πx 10

C =  20 x π inches

The circumference  will be 20 x π inches.

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Answer:

24 or uhm 44.6? i.d.k.

Step-by-step explanation:

The median of the given set {86, 24, 65, 65, 24, 24} is 44.5.

To find the median of the given set of numbers: 86, 24, 65, 65, 24, 24, we need to first arrange the numbers in ascending order:

24, 24, 24, 65, 65, 86

Now, there are six numbers in the set. Since there is an even number of data points, the median is the average of the two middlemost values.

The two middlemost values are 24 and 65.

Median = (24 + 65) / 2 = 89 / 2 = 44.5

So, the median of the given set is 44.5.

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Answer:

60.092%

Step-by-step explanation:

For this problem, we will simply create a ratio to find the difference created between the prices, and subtract this from 1 (100%) to find the percent decrease.

$19.95 / $49.99 = 0.39908

1 - 0.39908 = 0.60092

Given that we take away the difference from the price from the percent of the whole, we find that the price decrease is 60.092%.

Thus, we have found the percent decrease.

Cheers.

The solution to the system of equation shown in the graph is (2, 3)

An equation shows how two or more numbers and variables are related to each other.

The standard linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Given the equation:

y=−x+5   (1)

y=2x−1   (2)

Solving by elimination method. Subtract equation 2 from 1:

0 = -3x + 6

x = 2

Put x = 2 in eqn 1:

y = -(2) + 5 = 3

The solution is (2, 3)

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When all liabilities have been paid for a business, what is left over are referred to as the stockholders' equity.

After all liabilities have been paid, a company's residual assets are referred to as its stockholders' equity. This amount is computed by deducting total liabilities from total assets, or alternatively, by adding share capital and retained earnings and deducting treasury stock.

Total Assets - Total Liabilities = Shareholders' Equity

The aforementioned equation is known as the fundamental accounting equation and is fairly simple to apply. The value of all obligations is subtracted from the total amount of assets on the balance sheet.

SE is therefore the owners' remaining claim to the assets after all debts have been paid. Total assets less total liabilities gives a company's shareholder equity. Shareholder equity includes retained earnings as well as any invested capital.

The complete question is:

Statement of stockholders' equity

The revenues and expenses of Paradise Travel Service for the year ended May 31, 20Y6, follow:

Fees earned $900,000

Office expense 300,000

Miscellaneous expense 15,000

Wages expense 450,000

Everett McCauley invested an additional $40,000 in the business in exchange for common stock, and $10,000 of dividends were paid during the year. Common stock had a balance of $60,000 and retained earnings had a balance of $300,000 as of June 1, 20Y5.

Prepare a statement of stockholders' equity for the year ended May 31, 20Y6.

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When all liabilities have been paid for a business, what is left over are referred to as the stockholders' equity.

After all liabilities have been paid, a company's residual assets are referred to as its stockholders' equity. This amount is computed by deducting total liabilities from total assets, or alternatively, by adding share capital and retained earnings and deducting treasury stock.

Total Assets - Total Liabilities = Shareholders' Equity

The aforementioned equation is known as the fundamental accounting equation and is fairly simple to apply. The value of all obligations is subtracted from the total amount of assets on the balance sheet.

SE is therefore the owners' remaining claim to the assets after all debts have been paid. Total assets less total liabilities gives a company's shareholder equity. Shareholder equity includes retained earnings as well as any invested capital.

The complete question is:

Statement of stockholders' equity

The revenues and expenses of Paradise Travel Service for the year ended May 31, 20Y6, follow:

Fees earned $900,000

Office expense 300,000

Miscellaneous expense 15,000

Wages expense 450,000

Everett McCauley invested an additional $40,000 in the business in exchange for common stock, and $10,000 of dividends were paid during the year. Common stock had a balance of $60,000 and retained earnings had a balance of $300,000 as of June 1, 20Y5.

Prepare a statement of stockholders' equity for the year ended May 31, 20Y6.

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Answer:

76

Step-by-step explanation:

4^2 x 5^2 - 18^2

PEMDAS is our acronym for order of operations: Parentheses, exponents, multiplication, division, addition, subtraction.

Since we have no parentheses, we'll calculate the numbers and exponents (PEMDAS) first. "to the power of 2" is also called "squared" and means multiplying that number by itself.

(4x4) x (5x5) - (18x 18)

=16 x 25 - 324

Now we multiply: (PEMDAS)

= 400 - 324

then subtract: (PEMDAS)

=76

Answer:

76

Step-by-step explanation:

See 4^2 = 4x4 = 16

5^2 = 5x5 = 25

18^2 = 18x18 = 324

So it is

16 x 25 - 324

= 76

Hope it helps :D

On solving the provided question we can say that - the inequality equation which will be formed is 290x [tex]\geq[/tex] -23 + y

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

here,

we have 290x

so the inequality equation which will be formed is

-y + 290x [tex]\geq[/tex] -23

290x [tex]\geq[/tex] -23 + y

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Answer:

If we're looking for those that don't have insurance, it's 504. If we're looking for those that do, it's 1,512.

Step-by-step explanation:

Multiply 22.4 by 30 because there's roughly 30 days in a month. You'll get 2,016. Divide 2,016 by 4. You'll get 504. Multiply 504 by 3 to get how many have insurance.

In math, a pattern is defined as a sequence of repeating objects, shapes or numbers. We can relate a pattern to any type of event or object.

A pattern has a rule that identifies the items that are part of the pattern and those that are not. A pattern in mathematics is a series of recurring figures, shapes, or numbers.

Any kind of event or thing can be connected to a pattern. A pattern has a rule that identifies the items that are part of the pattern and those that are not. A specific set of rules must be taken into account in order to create a full pattern.

We must first comprehend the nature of the sequence and the distinction between the two successive numbers provided in the pattern in order to apply these rules. 

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Answer:

D. Multiply the top equation by -3.

Step-by-step explanation:

2x – 4y= 5           -3(2x – 4y= 5)          -6x + 12y= -15

6x - 3y=10                                                6x - 3y=10

No you can eliminate -6 and 6

Answer:

The answer is D.

Step-by-step explanation:

D. Multiply the top equation by -3.

This works because if you multiply the top equation by -3 then it will be

-3(2x – 4y= 5) which is -6x + 12y = -15

now our equation is : -6x +12y = -15

                                     6x - 3y = 10

As you can see we can eliminate -6x and 6x if we add those two equation together.

Answer:

[tex] m = \boxed{10}, \: \: c = \boxed{0}[/tex]

Step-by-step explanation:

[tex]y = 10x \\ \\ y = 10x + 0 \\ \\ equating \: it \: with \\ y = mx + c \\ \\ m = \boxed{10} \: \: c = \boxed{0}[/tex]

Answer:

I think 105.

Step-by-step explanation:

3 × 5 = 15

15 × 7 = 105.

Answer: The answer is 105 cubic feet.

Step-by-step explanation: V= l x w x h, so V= 3 x 5 x 7 is the equation.

Rewrite all 4 numbers as decimals to compare them:

88/25 = 3.52

3 11/20 = 3.55

Now arrange them in the correct order:

88/25, 3 11/20, 3.551, 3.88

Answer:

Step-by-step explanation:

all numbers are 3 and some more

start by arranging the decimals from least to greatest

3.551,  3.88

88/25 ( 25, three times is 75) = 3 and (88-75)/25 = 3 and 13/25 =3.52

3 11/12 is almost 4 because 11/12 is almost 12/12

the order is :

88/25, 3.551, 3.88, 3 11/20

Answer:

c = 62 degrees

b = 118 degrees

Step-by-step explanation:

vertical angles are congruent. the 62-degree angle is vertical to angle c

linear pair angles are supplementary. the 62-degree angle is supplementary to angle b. 180  = 62 + b. 118 = b

Answer:

No, it is not a proportion

Step-by-step explanation:

10/12 and 40/64 is not a proportion since although the numerator is constant because when multiplied by 4, it gives us 40, however, when you multiply 4 by 12, you get 48, therefore, it is not a proportion since the changes in the value of a proportion must be constant in both the numerator and denominator.

Hope this helped!  :D

Answer:

125°

Step-by-step explanation:

The total must be 180°.

180° - 55°

125°

Answer:

Step-by-step explanation:

Angle on a straight line = 180°

Given angle = 55°

Unknown angle = x°

[tex]x+55=180\\\\x=180-55\\\\x=125\°[/tex]

Answer:

0.76 = 76% probability that he will wait longer than 6 minutes

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

A geyser erupts every 25 minutes. A hiker has not consulted a schedule before heading to see the geyser, so the amount of time he spends waiting to see an eruption follows a uniform distribution.

This means that [tex]a = 0, b = 25[/tex]

What is the probability that he will wait longer than 6 minutes?

[tex]P(X > 6) = \frac{25 - 6}{25 - 0} = 0.76[/tex]

0.76 = 76% probability that he will wait longer than 6 minutes