What is an equivalent to b(little 3) x (b(little 3)?

The answer is angle 3, i think

The slope of the ramp with a perpendicular of 1 and a base of 3 is -1/3 with downward slope. option D.

To determine the slope of a ramp, we need to use the formula for slope, which is given by the ratio of the vertical change (rise) to the horizontal change (run). In this case, we are given the perpendicular as 1 and the base as 3.

The perpendicular and base of a right triangle are related to the slope of the ramp. The perpendicular represents the vertical change or rise, and the base represents the horizontal change or run.

In this case, the perpendicular is 1 and the base is 3. So, the rise is 1 and the run is 3. To find the slope, we divide the rise by the run:

Slope = Rise / Run

Slope = 1 / 3

Therefore, the slope of the ramp is 1/3.

The slope can also be expressed as a fraction, -1/3, if we consider the direction of the slope. A negative slope indicates that the ramp is descending or sloping downward.

To summarize, the slope of the ramp with a perpendicular of 1 and a base of 3 is 1/3 or -1/3, depending on the direction of the slope.

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Answer:

Step-by-step explanation:

Yes

Step-by-step explanation:

the answer geheieoeokejrhdhhshejekdkhfhsjsjjs

The answer to question 15 is, an equivalent exposure for 1/125 sec. at f/16 may be 1/60 sec. at f/22. Option A is the correct answer.

In photography, equivalent exposure also means exposure compensation and it means change in the combination of the speed of shutter and that of aperture that produces the same exposure value.

To find an equivalent exposure for 1/125 sec. at f/16,

Adjust either the shutter speed or aperture using exposure triangle but ensure that exposure value is not changed.

If ISO sensitivity is fixed,  double the shutter speed to 1/60 sec. and halve the aperture to f/22. When you do this, you will realize that the exposure value is the same because the amount of light entering the camera is the same in both cases.

Thus, an equivalent exposure for 1/125 sec. at f/16 would be 1/60 sec. at f/22.

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Solution for the given system of equations is : a = -2, b = -13 by substitution method.

To solve the system of equations:

a - 4b = 50    ...(1)

b + 5 = 4a    ...(2)

We can use the method of substitution or elimination. Let's solve it using the substitution method.

From equation (2), we can express b in terms of a:

b = 4a - 5

Now we substitute this value of b in equation (1):

a - 4(4a - 5) = 50

a - 16a + 20 = 50

-15a = 50 - 20

-15a = 30

a = 30 / -15

a = -2

Substitute this value of a back into equation (2) to solve for b:

b + 5 = 4(-2)

b + 5 = -8

b = -8 - 5

b = -13

Therefore, the solution to the system of equations is a = -2 and b = -13.

To verify the solution, substitute these values back into the original equations:

For equation (1): -2 - 4(-13) = 50

-2 + 52 = 50 (True)

For equation (2): -13 + 5 = 4(-2)

-8 = -8 (True)

Thus, the solution is confirmed to be correct. The values a = -2 and b = -13 satisfy both equations in the system.

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Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

The population of bacteria in the culture after 13 hours to the nearest whole number is 623

The doubling time is the time it takes for a population to double in size/value. It is applied to population growth, inflation, resource extraction, consumption of goods, compound interest.

P(t) = P(o) 2^(t/d)

P(o) = 230

t = 13hours

d = 9hours

Therefore ;

P(t) = 230 × 2^{13/9}

P(t) = 230 × 2^{ 1.44}

P(t) = 230 × 2.71

P(t) = 623.3

Therefore, the population of bacteria after 13 hours to the nearest whole number is 623

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The factored form of the polynomial function f(x) = 2x² - 9x - 18 is:

(2x + 3 )( x - 6 ).

Given the function in the question:

f(x) = 2x² - 9x - 18

For a polynomial in the form: ax² + bx + c,

Rewrite the middle term as a sum of the two terms whose product is:

a × c = 2 × -18 = -36

And whose sum is b = -9

f(x) = 2x² - 9x - 18

Factor -9 out of 9x:

f(x) = 2x² - 9( x ) - 18

Rewrite -9 as 3 - 12

f(x) = 2x² + (3 - 12)( x ) - 18

Distribute the x:

f(x) = 2x² + 3x - 12x - 18

Factor out the greatest common factor from each group:

f(x) = x( 2x + 3 ) - 6( 2x + 3 )

Group the first and last two:

f(x) = (2x + 3 )( x - 6 )

Therefore, the factored form is f(x) = (2x + 3 )( x - 6 ).

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The percentage change is 83.82%.

Percentage is the fraction of an amount that is usually expressed as a number out of hundred. The sign that is used to represent percentages is %. In order to convert a number to percentage, multiply the number by 100.

Percentage change = [tex](\frac{new value}{intial value} -1)[/tex] x 100

[tex](\frac{125}{68}- 1)[/tex] x 100 = 83.82%

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Answer:

[tex]x=\frac{2}{3}[/tex]

Step-by-step explanation:

We are given:

4x+3(2-x)=8-2x

To solve this, we first distribute the 3 among the numbers in parenthesis:

[tex]4x+3(2-x)=8-2x\\4x+6-3x=8-2x[/tex]

next, we rearrange terms that are the same next to each other

[tex]4x-3x+6=8-2x[/tex]

combine like terms

[tex]x+6=8-2x[/tex]

add 2x to both sides

[tex]3x+6=8[/tex]

subtract 6 from both sides

[tex]3x=2[/tex]

divide both sides by 3

[tex]x=\frac{2}{3}[/tex]

Hope this helps! :)

The surface area of the larger pot is  2,205 cm².

When we have two similar figures related by a scale factor K, then:

If A is the area of the smaller figure, the area of the larger one is:

A' = A*K²

If V is the volume of the smaller figure, then the volume of the other one is:

V' = V*K³

Now, in this case, the surface area of the smaller pot is 45cm² and the scale factor is 7, then the surface area of the other one is:

A' = 45cm²*7² =  2,205 cm².

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[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{0}-\underset{x_1}{(-4)}}} \implies \cfrac{-1}{0 +4} \implies \cfrac{ -1 }{ 4 } \implies - \cfrac{1}{4}[/tex]

Answer:

16

Step-by-step explanation:

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Answer:

Mode : 16

Explanation:

The mode is the number that occurs the most in a set of data.

So let's find that number in the set:

16, 23, 12, 12, 20, 21, 16, 33, 21, 16.

In the set, all numbers except 12 occur twice; however, 16 occurs three times.

Hence, 16 is the mode.

To be able to answer this question, we need to know that this problem linear function is . If we see the problem, we have:

1. Mary is spending money at an average rate of $5 per day. In this case, it represents the slope of the line. The slope of the line is the rate of change of this function. Then, we have that the slope is m = -5 --$5 per day (because she is spending money. She is going to have less and less money as time passes.) The slope is given by the difference in the y-coordinates over the difference in the x-coordinates, or, in this case, change in money (y variable), and change in days (x variable). We are told that the amount left depends on the number of days (money is a dependent variable of time):

2. In the question, we are given a point of the function (14 days, $68) (see below in the graph.)

Therefore, we have the slope of the line, and also a point of the line. As a result, we can write the equation in the point-slope form of this situation as follows:

We have that:

m = -5

x1 = 14

y1 = 68

Then, we have the point-slope form for the situation:

And to find the slope-intercept form of the line, we need to simplify the previous expression as follows:

Then, we have:

1. First, apply the distributive property:

2. Now, add 68 to both sides of the equation:

The graph for this line is:

We can see the graph with the values of the x- and y-intercepts. In the beginning, Mary had $138, and after almost 28 days, at this rate, she will have no money with her.

In summary, we have that:

1. The equation in point-slope form is:

[tex]y-68=-5(x-14)[/tex]

2. The equation in slope-intercept form is:

[tex]y=-5x+138[/tex]

The largest interval in which x0 must lie is:√2 − 10−4 √2 ≤ x0 ≤ √2 + 10−4 √2

To find the largest interval in which x0 must lie to approximate √2 with relative error at most 10−4, let's first recall the formula for the relative error. What is relative error? Relative error is the ratio of the absolute error to the true value. It is expressed as a fraction or a percentage. If the exact value is known, relative error can be calculated using the following formula: Relative error = (approximate value − exact value) / exact value.

Let x0 be the approximation to √2. We want to find the largest interval for x0 that ensures that the relative error is at most 10−4. We can use the formula for relative error to write:10−4 ≥ | (√2 − x0) / √2 |. Multiplying both sides by √2 gives: 10−4√2 ≥ | √2 − x0 |. Taking the square of both sides, we get:10−8 × 2 ≥ ( √2 − x0 )².

Simplifying:10−8 × 2 ≥ 2 − 2√2x0 + x0²10−8 ≥ x0² − 2√2x0. Solving the quadratic inequality: x0² − 2√2x0 − 10−8 ≤ 0. The solutions of this inequality are:x0 ≤ √2 + 10−4 √2x0 ≥ √2 − 10−4 √2.

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The risk ratios for Virtual Gaming Systems for 2021 are as follows:

Current Ratio: 2.5

Quick Ratio: 1.5

Inventory Turnover: 7.5 times

Days' Sales in Receivables: 29.3 days

Debt-to-Equity Ratio: 1.7

Gross Profit Margin: 35.9%

Return on Assets: 14.5%

Return on Equity: 40.6%

The risk ratios for Virtual Gaming Systems for 2021 are as follows:

Current Ratio: The current ratio is calculated by dividing current assets by current liabilities.

Current Ratio = (Cash + Accounts Receivable + Inventory + Prepaid Rent) / Accounts Payable

Current Ratio = (188,000 + 83,000 + 107,000 + 12,200) / 68,000

Current Ratio = 2.5

Quick Ratio: The quick ratio (also known as the acid-test ratio) is calculated by excluding inventory from current assets in the current ratio formula.

Quick Ratio = (Cash + Accounts Receivable + Prepaid Rent) / Accounts Payable

Quick Ratio = (188,000 + 83,000 + 12,200) / 68,000

Quick Ratio = 1.5

Inventory Turnover: The inventory turnover ratio is calculated by dividing the cost of goods sold by the average inventory.

Inventory Turnover = Cost of Goods Sold / (Opening Inventory + Closing Inventory) / 2

Inventory Turnover = 1,952,000 / (137,000 + 107,000) / 2

Inventory Turnover = 7.5 times

Days' Sales in Receivables: The days' sales in receivables ratio is calculated by dividing accounts receivable by the average daily sales.

Days' Sales in Receivables = (Accounts Receivable / Net Sales) * 365

Days' Sales in Receivables = (83,000 / 3,046,000) * 365

Days' Sales in Receivables = 29.3 days

Debt-to-Equity Ratio: The debt-to-equity ratio is calculated by dividing total liabilities by total stockholders' equity.

Debt-to-Equity Ratio = (Current Liabilities + Long-term Liabilities) / Stockholders' Equity

Debt-to-Equity Ratio = (68,000 + 6,400 + 16,000 + 287,000) / (302,000 + 229,800)

Debt-to-Equity Ratio = 1.7

Gross Profit Margin: The gross profit margin is calculated by dividing gross profit by net sales and multiplying by 100 to express it as a percentage.

Gross Profit Margin = (Gross Profit / Net Sales) * 100

Gross Profit Margin = (1,094,000 / 3,046,000) * 100

Gross Profit Margin = 35.9%

Return on Assets: The return on assets ratio is calculated by dividing net income by total assets and multiplying by 100 to express it as a percentage.

Return on Assets = (Net Income / Total Assets) * 100

Return on Assets = (131,800 / 909,200) * 100

Return on Assets = 14.5%

Return on Equity: The return on equity ratio is calculated by dividing net income by total stockholders' equity and multiplying by 100 to express it as a percentage.

Return on Equity = (Net Income / Stockholders' Equity) * 100

Return on Equity = (131,800 / 531,800) * 100

Return on Equity = 40.6%

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The selling price of the house is approximately $110,516.97.

To calculate the selling price of the house, we need to consider the down payment and the monthly mortgage payments. We can use the formula for the present value of an ordinary annuity to calculate the mortgage payments and then add the down payment.

The formula for the present value of an ordinary annuity is:

PV = [tex]PMT × (1 - (1 + r)^(-n)) / r[/tex]

Where:

PV = Present value (selling price)

PMT = Monthly payment

r = Interest rate per period (monthly interest rate)

n = Total number of periods (number of months)

Given:

Down payment = $25,000

Monthly payment = $525

Interest rate = 7.8% per year (monthly interest rate = 7.8% / 12 / 100)

Number of periods = 30 years (30 years × 12 months per year)

Calculating the monthly interest rate:

Monthly interest rate = 7.8% / 12 / 100 = 0.0065

Calculating the number of periods:

Number of periods = 30 years × 12 months per year = 360 months

Calculating the present value (selling price):

PV = [tex]PMT × (1 - (1 + r)^(-n)) / r[/tex]

PV = [tex]525 × (1 - (1 + 0.0065)^(-360)) / 0.0065[/tex]

Now let's calculate the selling price:

PV = [tex]525 × (1 - (1 + 0.0065)^(-360)) / 0.0065[/tex]

PV ≈ $110,516.97

Therefore, the selling price of the house is approximately $110,516.97.

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The length and the width of the garden are 12 and 13

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

Length = Width + 1

So, we have

Area = 156

Represent the width with x

So, we have

Area = x(x + 1)

Recall that

Area = 156

So, we have

x(x + 1) = 156

When evaluated, we have

x = 12

Next, we have

Width = 12 + 1 = 13

Hence, the length and the width of the garden are 12 and 13

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The equivalent expressions are listed as;

-10x+3/2

Algebraic expressions are defined as expressions that are made up of terms, coefficients, constants and factors.

These algebraic expressions are made up of arithmetic operations. They include;

From the information given, we have that;

-2(5x - 3/4)

expand the bracket, we get;

-10x + 6/4

Divide the values, we have;

-10x + 3/2

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Answer:

[tex] \sqrt{ {( - 3 - 0)}^{2} + {( - 3 - 1)}^{2} } = [/tex]

[tex] \sqrt{ {( - 3)}^{2} + {( - 4)}^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]

The sine function for this problem is defined as follows:

y = sin(1/6(x - 2π)) - 5.

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are given as follows:

The parameter values for this problem are given as follows:

A = 1, D = -5, C = 2π.

Considering the period of 12π, the coefficient B is obtained as follows:

2π/B = 12π

12B = 2

B = 1/6.

Hence the equation is given as follows:

y = sin(1/6(x - 2π)) - 5.

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Answer:

How many numbers can divide 21

3

7

Answer:

Step-by-step explanation:

It's great that you included a diagram! It helps make the question more clear.

To find the measure of angle X, we will use the fact that the sum of the angles in a quadrilateral is 360°.

We can see from the diagram that there are seven angles in the quadrilateral. We will denote the angles as a1, a2, a3, b1, b2, b3, and b4, such that angle a1 is the angle at the top left of the quadrilateral, and angle b4 is the angle at the bottom right.

We can use the given angles to find the measures of some of the other angles in the quadrilateral. For example

32° + 142° + b4 = 180°

b4 = 180° - 32° - 142° = 46°

We can apply similar reasoning to find the measures of angles a2 and a3.

a1 + b2 = 180°

b2 = 180° - a1

a2 + b3 = 180°

b3 = 180° - a2

We now have enough information to find the measure of angle X.

The quadrilateral is symmetrical across the midline, so the measure of angle a3 must be equal to the measure of angle a1.

Now we can find the measure of angle X using the fact that the sum of the angles in a quadrilateral is 360°, and we have the measures of six of the seven angles.

a1 + a2 + a3 + b1 + b2 + b3 + b4 = 360°

a1 + 2a2 + b1 + b2 = 180°

We can use substitution to find the measure of angle X:

a3 + 2a2 + b1 + b2 = 180°

a3 = 180° - 2a2 - b1 - b2

Substituting this into the last equation, we get:

(180° - 2a2 - b1 - b2) + 2a2 + b1 + b2 = 180°

180° = (180° - 2

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Earll Investments is a well-established company with a track record of success, making it less likely to be fraudulent.

Earll Investments and Pima Financial Trading are two investment opportunities that can be reviewed to determine which one is more likely to be fraudulent. Here's a brief overview of both investment opportunities:Earll Investments Earll Investments is a company that deals with investments. This investment firm offers its clients a wide range of investment options, including the stock market, bonds, real estate, and others.

The company claims to have a team of expert investors who use their experience to make informed investment decisions and achieve the best possible returns for their clients. Pima Financial Trading Pima Financial Trading is an investment firm that claims to offer high returns on investment in a short period.

According to the firm, it specializes in trading different financial instruments, including commodities, stocks, and derivatives. The firm claims to use a proprietary trading strategy that is designed to generate profits for its clients quickly. Based on the evidence, Pima Financial Trading is more likely to be fraudulent.

Here's why: First, Pima Financial Trading claims to offer high returns on investment in a short period, which is a red flag. Investment opportunities that promise quick returns with little or no risk are often too good to be true and are more likely to be fraudulent.

Second, Pima Financial Trading's proprietary trading strategy is not backed by any credible evidence or data. The firm does not provide any details about the strategy, making it difficult to evaluate its effectiveness. This lack of transparency raises questions about the legitimacy of the firm's claims.Finally, there are several reports of clients losing money with Pima Financial Trading. These reports indicate that the investment opportunity is a scam and not a legitimate investment opportunity.

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According to the information we can infer that the option A, a 2-pack of paper towels for $2.24, has a lower unit price than Quick 'N Clean paper towels.

To compare the unit prices, we need to calculate the price per roll for each option.

For the Quick 'N Clean paper towels, we have a 4-pack for $4.28, so the unit price per roll is 4.28 / 4 = $1.07 per roll.

Among the given options, option A has the lowest unit price per roll ($1.12), which is lower than the unit price of the Quick 'N Clean paper towels ($1.07). Therefore, option A has a lower unit price than the Quick 'N Clean paper towels.

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The length of fabric Mary need to buy if she wants to sew 2 shirts is:

[tex]4\frac{3}{4}[/tex]  yards

A fraction represents the parts of a whole or collection of objects e.g. 3/4 shows that out of 4 equal parts, we are referring to 3 parts.

We have that:

3 1/6 yards of the fabric  can make only 1 1/3 shirts.

To find the length of fabric that will sew 2 shirts. We will use the ratio of the number of yards to number of shirts.

Let L be the length of fabric for 2 shirts. Thus, we can say:

[tex]\frac{3\frac{1}{6} }{1\frac{1}{3} } = \frac{L}{2}[/tex]

[tex]L = 2 * \frac{3\frac{1}{6} }{1\frac{1}{3} }[/tex]

[tex]L = 2 * 2\frac{3}{8}[/tex]

[tex]L = 4\frac{3}{4}[/tex]  yards

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Complete Question

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock. But this quantity of fabric can make only 1 1/3 shirts. What length of fabric does Mary need to buy if she wants to sew 2 shirts?