the apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides.

Answer:

Jack has a toy poodle names Lucy. He is supposed to feed Lucy 11 ounces of dog food a day. He has s ounces of food in the bag he bought for the month. The amount of dog food left in the bag after feeding Lucy today is represented by s-11.

Answer:17

Step-by-step explanation:

i took the test

Yes, I agree with Andre's strategy for calculating the volume of a cylinder.

The volume of a cylinder is equal to the area of the base (which is a circle) multiplied by the cylinder's height. This formula is expressed as follows:

Volume = r2h, where r is the radius of the circular base and h is the cylinder's height.

We can use the following formula to calculate the area of the circular base:

Area = r2

So, if we multiply the area of the circular base by the cylinder's height, we get:

Volume = r2h is the formula for calculating the volume of a cylinder.

As a result, Andre's strategy of calculating the volume of a cylinder by finding the area of a circular cross section and multiplying it by the height of the cylinder is valid and correct.

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Answer: y in terms of x is y = 5x + 5.

Step-by-step explanation:

Since the graph of y^3 against x is a straight line passing through the points (1,5) and (6,15), it means that y^3 can be modeled as a linear equation in terms of x.

Let's call the slope of the line m and the y-intercept b. We can find the values of m and b using the two points (1,5) and (6,15).

Using the point-slope form of a linear equation, we can write:

y - 5 = m(x - 1)

Substituting (6,15) into the equation:

15 - 5 = m(6 - 1)

So, m = 5.

Next, we can use the slope-intercept form of a linear equation to write y in terms of x:

y = mx + b

Substituting the values of m and b:

y = 5x + 5

So, y in terms of x is y = 5x + 5.

If a first time homebuyer is given the choice of two loans: loan a: 390,000, 15 year-fixed, 4 discount points. The amount the hole buyer save in total by choosing loan is:  b) 11,427.

To compare the total cost of each loan, we need to calculate the total payments made over the life of the loan.

For loan A, the monthly payment is $3,509.71 and the loan term is 15 years, so the total payments would be:

Total payments = monthly payment x number of months

Total payments = $3,509.71 x (15 x 12)

Total payments = $631 747.8

However, loan A also has a 4-point discount, which means the borrower paid 4% of the loan amount upfront to reduce the interest rate.

Discount points = loan amount x discount rate

Discount points = $390,000 x 0.04

Discount points = $15,600

To calculate the total cost of loan A, we need to add the discount points to the total payments:

Total cost of loan A = total payments + discount points

Total cost of loan A = $631 747.80 + $15,600

Total cost of loan A = $647,347.80

For loan B, the monthly payment is $3,659.86 and the loan term is 15 years, so the total payments would be:

Total payments = monthly payment x number of months

Total payments = $3,659.86 x (15 x 12)

Total payments = $658,774.5

To calculate the total cost of loan B, we simply add the total payments:

Total cost of loan B = total payments

Total cost of loan B =  $658,774.5

Therefore, the total amount saved by choosing loan A over loan B is:

Savings = total cost of loan B - total cost of loan A

Savings = $658,774.5 - $647,347.80

Savings = $11,427

Therefore, the answer is option b) $11,427.

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The Number of terms in the expression 8 - 4c is 2.

An equation is an expression that shows the relationship between two or more numbers and variables.

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

We are given an expression as;

8 - 4c

Here c is the variable.

The first one is 8 and the second one is 4c

Therefore, number of terms are 2

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The probability of spinning a red, then green is 1/4.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1. Probability is applied in many areas, including finance, statistics, weather forecasting, and gambling.

The probability of spinning a red, then green is 1/4. This is because there are four equal parts on the spinner (red, blue, yellow, and green), and spinning red first and then green means that you have a 1 out of 4 chance of getting the desired result. Therefore, the numerator is 1 and the denominator is 4.

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Answer: It is 1/16

Step-by-step explanation: It said twice so you had to multiple 8 by 2 since there are 8 possible color panels.  

The sequence is an = 8(one half)n − 1, and the average rate of change from n = 1 to n = 3 is -3.

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
The sequence graphed below is a geometric sequence with the first term a1 = 8 and the common ratio r = 1/2. The sequence can be expressed as:

an = 8(1/2)^(n-1)

To find the average rate of change from n = 1 to n = 3, we need to calculate the difference between the third term and the first term, and then divide by 2 (since there are two terms between n = 1 and n = 3):

an = 8(1/2)ⁿ⁻¹

a₁ = 8(1/2)¹⁻¹ = 8

a₃ = 8(1/2)³⁻¹) = 2

Average rate of change from n = 1 to n = 3:

= (a₃ - a₁) / (3 - 1)

= (2 - 8) / 2

= -3

Therefore, the sequence is an = 8(one half)n − 1, and the average rate of change from n = 1 to n = 3 is -3.

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Answer: x = 0, 2 or 3/2 (look at the image for the solution)

Step-by-step explanation:

The 30th term value is 2900.

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:
A sequence,

10, 110, 210, 310, …

To find the common difference:

110 - 10 = 100

So, d = 100

Remember that,

aₙ= a₁ + (n-1)d

aₙ=a₁+(n−1)d

So,

aₙ = 10 +(n−1)100.

a₃₀ = 10 + (30 - 1)100

a₃₀ = 10 + 29(100)

a₃₀ = 10 + 2900

a₃₀ = 2910.

Therefore, a₃₀ = 2910.

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Our friend's mistake when wanting to make a new mixture of pink paint is that she is only going to add 2 parts of white paint, the correct formula would be 3.

Painting is the practice of applying paint, pigment, color or other medium to a solid surface.

To mix 3 gallons of pink paint we must take into account the following information:

1 gallon of pink paint is equal to 3 parts red paint and 1 part white paint.

To find out how many parts we need to prepare 3 gallons of pink paint we must multiply the mix values for a gallon by 3.

Red paint:

3 x 3 = 9

White paint:

1 x 3 = 3

Therefore, we need to use 3 parts white paint and 9 parts red paint to make 3 gallons of pink paint.

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The steps for subtracting mixed numbers are the transformation of improper fractions, subtraction of denominator, then subtracting numerator, making it the smallest term, and reverse.

Finding the difference between two mixed numbers is required when subtracting mixed numbers. The steps for subtracting mixed numbers are as follows:

Step 1: Transform the mixed values into improper fractions in step 1. To achieve this, divide the total by the denominator, then add the numerator. The new numerator is the outcome, and it is positioned above the denominator.

Step 2: Identify a common denominator in step two. You must identify a common denominator to subtract fractions with various numerators.

Step 3: Subtract the fractions in step three. Subtract the numerators from the fractions while maintaining the same denominator.

Step 4: Make the outcome simpler. Simplify the outcome if you can by breaking the fraction down into its smallest terms. 13/4 in this instance may be expressed as 3 1/4.

Step 5: Reverse the incorrect fraction to a mixed number in step 5. Divide the numerator by the denominator to return the improper fraction to a mixed number. The full number serves as the numerator, and the remainder serves as the quotient.

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The question is -

How to Subtract mixed numbers?

Answer:22.5

Step-by-step explanation:

A representation that could represent function w (nonlinear function) is: D. table D.

In Mathematics, a linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, a linear function has the same slope and it is typically used for uniquely mapping an input variable to an output variable, which both increases simultaneously.

Therefore, table D represents a non-linear function because the slope is not constant and the common difference is not constant between successive data points.

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Answer:

See explanation

Step-by-step explanation:

40% of the original $54 is $21.60, therefore the pants are $21.60 off of their original price. This makes the pants $32.40.

20% of the new $32.40 is $6.48, therefore the pants are $6.48 off of the 40%-off price. This makes the pants $25.92 for their final price.

The equation of conversion between the length y inches to centimeters is y inches = 2.54y centimeters.

Both the inches and centimeters are units of length, where the inch is an ES unit and the centimeter is a CGS unit. They are connected by the relation, 1 inch equals 2.54 centimeters.

Let, the length is y inches.

It is known that 1 inch = 2.54 centimeters. So, convert the y inches to centimeters.

y inches = y×1 inch

= y×2.54 centimeters

= 2.54y centimeters

Therefore, the obtained answer is y inches = 2.54y centimeters, where y is the length of an object.

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The value of x is 10.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Parallelogram has the property that the consecutive or adjacent angles of a parallelogram are supplementary.

That is, they sum up to 180°.

Here, (6x)° and (12x)° are supplementary.

6x + 12x = 180

18x = 180

x = 10

Hence the value of x is 10.

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Answer: i think that its D

Step-by-step explanation:

im really sorry if its wrong

Answer:

Step-by-step explanation:

Take my answer with a grain of salt as this is an educated guess based on the problem.

The exponentiation rule for raising a power to another power (a^b)^c = a^{bc} therefore a power to a power is equal to the powers multiplied together.  so if the base is equal to (32/5) and the power is -2x. some number raised to the x is equal to (32/5)^-2x therefore because -2^x is equal to -2x the answer is B which is the original base (32/5) with the exponent -2 when raised to the x will be equal to (32/5)^-2x.

Therefore, B is the answer

The radius of the ball which is the each of the smaller balls is R = 2r.

The formula for the volume of a sphere is V = 4/3 π r³, where V = volume and r = radius. The radius of a sphere is half its diameter. So, to calculate the surface area of a sphere given the diameter of the sphere, you can first calculate the radius, then the volume.

We can use the following formula to get the volume of a sphere whose radius is "r": A sphere's volume is equal to 4/3r³.

here, we have,

Given,

A steel ball which is melted down to make eight smaller identical balls.

If the radius of the original steel ball was 20 cm:

Let the spherical ball's radius be R.

And with r being the radius of 8 similar balls,

According to the inquiry,

Volume of 8 similar balls = the volume of a larger sphere

3/4πR³ = 8 × 3/4πr³

R³ = 8r³

R = 2r

Hence, The radius of the ball which is the each of the smaller balls is R = 2r.

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Answer:

x = 3 , y = 8

Step-by-step explanation:

Consider the figure to be a parallelogram.

• opposite sides of a parallelogram are congruent

then

8x = 5x + 9 ( subtract 5x from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

and

7y - 16 = 5y ( subtract 5y from both sides )

2y - 16 = 0 ( add 16 to both sides )

2y = 16 ( divide both sides by 2 )

y = 8

The number of people that read their computer everyday out of 1270 surveyed adults using the given fraction is; 762 people

Wea re told that eric reads an article that says 15 out of 25 adults use their computer everyday. Thus, fraction of those that read their computer everyday = 15/25

Now, to find the number of people that read their computer everyday out of 1270 surveyed adults using the article fraction is;

15/25 * 1270 = 762 people

This represents the number of people that read their computer everyday

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Answer:

Step-by-step explanation:(:;44(()6)!

Answer:

used to works by in BBC FDA's in BBC FDA's keep that u now u now u now how to be successful so do it.

Step-by-step explanation:

no exception

7.2 million is the company's profit be in the year 2004.

percentage, a relative value indicating hundredth parts of any quantity.

To find the company's profit in the year 2004

We have to first calculate its profit in the year 2003.

We know that its profit in 2002 was $6.5 million, so we can use the formula:

Profit in 2003 = profit in 2002 + (5% of profit in 2002)

= $6.5 + (0.05 x $6.5 )

= $6.825 million

Now, to find the profit in 2004, we use the same formula:

profit in 2004 = profit in 2003 + (5% of profit in 2003)

= $6.825  + (0.05 x $6.825 )

= $7.16625 million

profit in 2004=$7.2 million

Hence, 7.2 million is the company's profit be in the year 2004.

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Answer:

What is the distance between the two control stations on the earth's surface?

To find the distance between the two control stations, we can use the law of cosines. Let's call the distance between the control stations "d". Then, using the information that the angle of separation between the two stations is 10°:

d^2 = 2 * 3963^2 - 2 * 3963^2 * cos(10°)

d = sqrt(2 * 3963^2 - 2 * 3963^2 * cos(10°))

Using a calculator, we find that d = approximately 5657 miles. Rounding to the nearest whole number, the distance between the two control stations is 5657 miles.

What is the height of the satellite above the surface of the earth?

To find the height of the satellite, we can use the law of sines. Let's call the height of the satellite "h". Then, using the information that the distance between the two control stations is d:

h / sin(10°) = d / 2

h = d / 2 * sin(10°)

Using the value of d from the previous question, and a calculator, we find that h = approximately 22,795 miles. Rounding to the nearest whole number, the height of the satellite above the surface of the earth is 22,795 miles.

Step-by-step explanation:

Answer:

Let x be the measure of the smaller angle. Then the measure of the larger angle is 3x - 12.

We can write this as an equation:

larger angle = 3 * smaller angle - 12 or 3x - 12 = larger angle.

Alternatively, we can write it as:

smaller angle + larger angle = 180 (since they form a straight line)

Substituting larger angle with 3x - 12, we get:

x + 3x - 12 = 180

Simplifying:

4x - 12 = 180

4x = 192

x = 48

Therefore, the measure of the smaller angle is 48 degrees, and the measure of the larger angle is 3(48) - 12 = 132 degrees.

The measure of the larger angle is 12 less than 3 times the measure of the smaller angle x = 48

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’ meaning “corner.”

Angles can mean is an acute angle.

Let smaller angle = x

Larger angle = 3x - 12

x & (3x - 12) are supplementary

So, x + 3x - 12 = 180°

4x - 12 = 180

4x = 180 +12

4x = 192

x = 192/4

⇒ x = 48°

Hence, the measure of the larger angle is 12 less than 3 times the measure of the smaller angle x = 48

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The correlation coefficient can take values between -1 and 1, inclusive. A correlation coefficient of -1 indicates negative correlation and 1  indicates positive correlation.

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as the values of one variable increase, the values of the other variable decrease. A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as the values of one variable increase, the values of the other variable also increase.

A correlation coefficient of 0 indicates no correlation, meaning that there is no relationship between the two variables. Correlation coefficients can take any value between -1 and 1, inclusive, including fractional and decimal values.

Positive values indicate positive correlation, negative values indicate negative correlation, and values close to 0 indicate little or no correlation. The magnitude of the correlation coefficient indicates the strength of the relationship between the two variables.

The closer the coefficient is to 1 or -1, the stronger the relationship between the variables.

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The height of the cylindrical concrete pillar is approximately 153.2 centimeters.

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as;

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

We are given that;

Diameter of pillar= 10cm

Volume = 12,042 cubic centimeters

Now,

First, we need to find the radius of the pillar. The diameter of the pillar is given as 10 centimeters, so the radius is half of that:

r = 10/2 = 5 centimeters

Now we can substitute the given volume and radius into the formula and solve for the height:

12,042 = π(5)^2h

Divide both sides by π(5)^2:

h = 12,042 / (π(5)^2)

h ≈ 153.2 centimeters (rounded to one decimal place)

Therefore, by the given volume the answer will be 153.2 centimeters.

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Answer:

9 a3 b8

Step-by-step explanation:

109 a11 b16 - 100 a8 b8

The percentage error of Charlie is given by the equation A = 13 %

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage error of the gobstopper be A

Now , the initial price of the gobstopper = $ 13.50

The final price of the gobstopper = $ 15.25

Now , the equation will be

The percentage error A = ( final price - initial price / initial price ) x 100

The percentage error A = [ ( 15.25 - 13.50 ) / 13.50 ] x 100

The percentage error A = ( 1.75 / 13.50 ) x 100

The percentage error A = 0.1296 x 100

The percentage error A = 12.96 %

The percentage error A = 13 %

Hence , the percentage error is 13 %

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