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The width of a window in this blueprint is 54 inches. How wide is the actual window?

Answer:

3

Step-by-step explanation:

1.2/0.4=3, isolate the y to get the answer. Please mark brainliest!

+) slope = ∆y/∆x = (9-7)/[4-(-2)] = 2/6 = 1/3

Ans: 1/3

Ok done. Thank to me >:333

Answer:

Yes you would know

Step-by-step explanation:

We can view these tents as sides on a shape that is 30 sided, with lines connecting each tents together.

After this we calculate the interior angle of each side, and use our given 20m to calculate it.

Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

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Answer:

Multiply the measurements by length & width to get the answer!

Answer:

2:3

Step-by-step explanation:

2a/3a a is out

cya a

The ratio 2a/3a in the simplest form is 2/3.

Ratio is the way to compare one thing that is related to another thing.

Simplifying ratio means reducing its terms to the lowest possible digits by dividing them with the possible common factor

For example if we have a ratio 3/6 then we divide both terms by 3 to get 3/6 = 1/2 which is the simplest form of ratio 3/6

Given that a ratio 2a/ 3a

2 and 3 have nothing in common . therefore a is the common factor between 2a and 3a

Then divide the terms of ratio by a

⇒ 2a/ 3a = (2a/a)/(3a/a) = (2/1)/(3/1) = 2/3

Therefore, the simplest form of the ratio 2a/3a is 2/3.

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Answer: the length of the base is 15 kilometers.

Step-by-step explanation:

formula : Area of parrallelogram  = Length of base x height

Given: Area of parallelogram = 300 square kilometers

height = 20 kilometers

Substituting values in the formula , we get

300 = Length of base x 20

Length of base  = \(\frac{300}{20}\)

= 15 kilometers

Hence, the length of the base is 15 kilometers.

Answer:

C

Step-by-step explanation:

Using linear function concepts, the meaning of the y-intercept of Ivania's position is given by:

Ivania begins the race 6 meters behind Javier.

A linear function is modeled by:

y = mx + b

In which:

Ivania's equation is given by:

y = 9x - 6.

The y-intercept is of -6, which is her relative position, given by:

Ivania begins the race 6 meters behind Javier.

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Hello,

a) photo attached

b) When y = 1, x ≈ 0.5

Verification through calculation :

We have :

y = 4x - 1

⇔ 1 = 4x - 1

⇔ 4x = 2

⇔ x = 2/4 = 0.5

This is just !

:-)

Answer:

the selling price of the product that will generate zero dollars in profit

Step-by-step explanation:

PLATO

The x-intercept of the given data represents the selling price of the product that will generate zero dollars in profit.

Thus, the x-intercept represents the selling price of the product that will generate zero dollars in profit.

Hence, option A is the correct answer.

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Answer:10

Step-by-step explanation:

8+2=10

Two steps that will complete the list correctly are:

4. The original measurement should be multiplied by the conversion factors.

5. Verify that it makes sense.

A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.

Let's use an example of converting from inches to centimeters to address this query.

10 inches should be converted to cm.

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the probability that at least seven customers arrive in three minutes, given that exactly two arrive in the first minute, is approximately 0.081 or 8.1%.

How to solve?

To solve this problem, we can use the Poisson distribution, which models the probability of a certain number of events occurring in a fixed interval of time or space, given the expected rate of occurrence.

Let lambda be the expected rate of customer arrivals per minute. If exactly two customers arrive in the first minute, then the expected number of customers to arrive in three minutes is lambda ×3. We can use this expected value to calculate the probability of at least seven customers arriving in three minutes:

P(X ≥ 7 | X ~ ∝(λ×3))

= 1 - P(X ≤ 6 | X ~ ∝(λ×3))

= 1 - ∑[k=0 to 6] (e²(-λ3) ×(lλ3)²k / k!)

where e is the mathematical constant approximately equal to 2.71828, and k! denotes the factorial of k.

To find lambda, we can use the fact that exactly two customers arrive in the first minute. The Poisson distribution assumes that the number of events in a fixed interval of time or space follows a Poisson distribution with parameter lambda, which represents the expected rate of occurrence. Therefore, lambda is equal to the number of customers arriving per minute, which is 2.

Substituting lambda = 2 into the formula, we get:

P(X ≥ 7 | X ~ ∝(2×3))

= 1 - P(X ≤ 6 | X ~ ∝(6))

= 1 - ∑[k=0 to 6] (e²(-6) ×6²k / k!)

Using a calculator or computer software, we can evaluate this expression to get:

P(X ≥ 7 | X ~ ∝(6)) ≈ 0.081

Therefore, the probability that at least seven customers arrive in three minutes, given that exactly two arrive in the first minute, is approximately 0.081 or 8.1%.

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Give to each part of the fraction a variable (a letter)

Numerator: n

Denominator: d

the denominator of a fraction is two more than the numerator:

both numerator and denominator are increased by ten, the simplified is 9/10:

Use the equation above to find the value of n:

As n is equal to 8 find the value of d:

The original fraction is:

The lifter would need to perform approximately 27 reps of lifting a 16-lb barbell through a distance of 1.1 ft to work off 150 C.

To answer this question, we need to know the amount of work done in each rep of the lift. Work is defined as force multiplied by distance, so the work done in lifting the 16-lb barbell through a distance of 1.1 ft is:

Work = Force x Distance
Work = 16 lb x 1.1 ft
Work = 17.6 ft-lb

Now we can calculate the number of reps required to work off 150 C. One calorie is equivalent to 4.184 joules of energy, so 150 C is equal to:

150 C x 4.184 J/C = 627.6 J

We can convert this to foot-pounds of work by dividing by the conversion factor of 1.3558:

627.6 J / 1.3558 ft-lb/J = 463.3 ft-lb

To work off 463.3 ft-lb of energy, the lifter would need to perform:

463.3 ft-lb / 17.6 ft-lb/rep = 26.3 reps (rounded up to the nearest whole number)

Therefore, the lifter would need to perform approximately 27 reps of lifting a 16-lb barbell through a distance of 1.1 ft to work off 150 C.

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The standard, vertex, and intercept forms of quadratic functions are f(x) = ax²+bx+c, f(x) = a(x-h)² +k, and f(x) = (x-a)(x-b).

The equation of the form ax² + bx +c is known as a quadratic equation.

(1)The standard form of a quadratic function is f(x) = ax² + bx +c.

It is useful to determine the end behavior of the graph of the function.

If the sign of the leading coefficient is positive, then the graph opens upward rising in both directions, and if the leading coefficient is negative, then the graph opens downward decreasing in both directions.

(2)

The vertex form of a quadratic function is f(x) = a(x-h)² +k.

The vertex form is useful to determine the coordinates of the vertex of the parabola, which are (h, k).

(3)

The intercept form of the parabola is f(x)= (x-a)(x-b) where a and b are the zeros of the function.

So, it is useful to find the x-intercepts or zeros of the function.

Hence, the standard, vertex, and intercept forms of quadratic functions are f(x) = ax²+bx+c, f(x) = a(x-h)² +k, and f(x) = (x-a)(x-b).

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Answer:

Step-by-step explanation:

First, we need to write down the equations so we can have a vision of the equations.

3x - 6y = -12

x - 2y = -8

Now we find the simpler equation, and we make it to where one of the variables is on one side.

Let's use the bottom equation.

x = 2y - 8

Now we plug in the equation to the other equation.

3(2y - 8) - 6y = -12

6y - 24 - 6y = -12

-24 = -12

0 = 12

This is a false statement. 0 does not equal 12. That means that the equation has no solutions.

Answer: the answer would be 16

Step-by-step explanation:

it’s because the volume is V = 1/3 Bh and B is the area of the base and h is the height.

Answer:

80

Step-by-step explanation:

Answer:

The presentation would seem to show that the points in the scatterplot would trend up from left to right because as the weight in pounds grows, so does the weight in kilograms as well, based on the example described above on Kevin's scatterplot on the weight of the fish he caught. The best choice is A.

Step-by-step explanation:

The statistic that describes the average distance between the measurements in a frequency distribution and the mean of that distribution is the mean absolute deviation (MAD).

The MAD measures the dispersion or spread of the data points around the mean. It is calculated by taking the absolute value of the differences between each data point and the mean, summing these absolute differences, and dividing by the number of data points.

Unlike the standard deviation, the MAD does not square the differences, making it easier to interpret. The MAD provides a measure of the variability of the data and is useful in comparing the spread of different data sets.

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Answer:

yes, x=6 is a solution

Step-by-step explanation:

-18 = -2(6+3)

-18 = -2(9)

-18= -18

Answer:

Yes, it is

Step-by-step explanation:

If you substitute the value of x into the equation, we would get:

-18=-2(6+3)

By using BIDMAS (or whatever else people use, BODMAS, PEDMAS), we first have to do the brackets. In the brackets we have 6+3 (which equals 9).

Now our equation can be simplified to -18=-2(9).

Now  we simply multiply -2 with 9, as a number next to something in a bracket usually means multiplication. If you multiply a positive by a negative, the product will be negative. Therefore, -9 x 2 = -18.

This proves it is a correct solution.

Answer:

Option A is correct.

i.e. x = 1, x = 0 is an extraneous solution.

Step-by-step explanation:

Given the expression

\(\frac{5}{x}=\frac{4x+1}{x^2}\)

Solving the rational function

\(\frac{5}{x}=\frac{4x+1}{x^2}\)

Apply fraction across multiply: if \(\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\)

\(5x^2=x\left(4x+1\right)\)

Subtract x(4x+1) from both sides

\(5x^2-x\left(4x+1\right)=x\left(4x+1\right)-x\left(4x+1\right)\)

Simplify

\(5x^2-x\left(4x+1\right)=0\)

5x² - 4x² - x = 0

x² - x = 0

Factor x² - x = x(x-1)

so

x(x-1) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

\(x=0\quad \mathrm{or}\quad \:x-1=0\)

Thus, the solution to the equation is:

\(x=0,\:x=1\)

But, it is clear that if we substitute x = 0, the equation becomes undefined because we can not have the denominator to be 0.

In other words, the equation is undefined for x = 0

Thus, x = 0 is an extraneous solutions.

Therefore, option A is correct.

i.e. x = 1, x = 0 is an extraneous solution.

The proper way to move on coordinate surface from point A's location to point b is to move 6 units to the right and 1 unit to the up. The correct option is a.

What does the word "coordinate" mean in mathematics?

Coordinates are a pair of numbers (also known as Cartesian coordinates), or occasionally a letter and an integer, that identify a particular point on a grid,also known as a coordinate system. The \(x\) -axis (horizontal) and \(y\) -axis are the two vectors on a coordinate plane, which has four quadrants. (vertical).

On the coordinate surface, we can use the following methods to move from Point A to Point B:

Point A, which is two units to the right of the Centre and nine units up, is a good place to start.

Point C, which is situated at Move five floors to the toward the right and five units up to get there. (5, 5).

Move three units to your right and three units up from Point C to Point B, which is situate

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The runner's average speed is approximately 11.63 mph, which is slightly faster than 11 mph. So, the runner doesn't maintain exactly 11 mph throughout the entire race, but they are close.

If a runner completes a 6.2 mile race in 32 minutes, we can calculate their average speed by dividing the total distance by the total time.

6.2 miles ÷ 32 minutes = 0.194 miles per minute

To convert this to miles per hour, we need to multiply by 60 (the number of minutes in an hour):

0.194 miles per minute x 60 minutes = 11.63 miles per hour

So the runner must be running at an average speed of 11.64 miles per hour throughout the entire race in order to complete it in 32 minutes. This is an impressive pace and shows that the runner is very fit and capable of sustaining a fast speed for a relatively long distance.

A runner completes a 6.2-mile race in 32 minutes, and we are to determine if they maintain an 11 mph pace throughout the race. To do this, we need to convert the race time to hours and then divide the race distance by the time.

First, convert 32 minutes to hours:
32 minutes / 60 minutes/hour = 0.5333 hours

Next, calculate the average speed:
6.2 miles / 0.5333 hours ≈ 11.63 mph

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The scale of measurement being used to classify the students in the introductory art class as art majors and non-art majors is nominal.

Nominal scales are used for categorical data, where the items being measured can be placed into categories or labels, but no order or ranking is implied. In this case, the students are being classified into two categories: art majors and non-art majors.

The students are being classified into two categories: art majors and non-art majors. These categories are mutually exclusive and exhaustive, meaning that every student in the class falls into one and only one of the two categories. There is no inherent order or ranking to the categories, and it is not meaningful to say that one category is greater or smaller than the other. This type of data classification is an example of nominal scale measurement.

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Answer: overindulgence in or dependence on an addictive substance, especially alcohol or drugs.

overindulgence in or dependence on an addictive substance, especially alcohol or drugs