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Answer:

1/12

Step-by-step explanation:

Hope this helps!

Answer:

tan angle = x/5.

Step-by-step explanation:

If I understand your description,

tan angle at bottom of ramp = 1.2/3.

Then tan angle = x/5.

Check my thinking.

Rick's house is approximately 6.40 miles away from the school.

To determine the distance between Rick's house and the school, we need to consider the given information about the distances between various points on the map.

From the information provided, we can identify a right triangle formed by Mia's house, the school, and the fruit market. Mia's house is 5 miles from the school, and it is also 4 miles from the fruit market. Rick's house is 6 miles from the fruit market.

Let's label the distances as follows:

Distance from Mia's house to the school: 5 miles

Distance from Mia's house to the fruit market: 4 miles

Distance from Rick's house to the fruit market: 6 miles

Using the concept of the Pythagorean theorem, we can find the distance between Rick's house and the school.

According to the Pythagorean theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the distance between Mia's house and the school is the hypotenuse of the right triangle. Let's call it "d."

Therefore, we have the equation:

d^2 = 5^2 + 4^2

Simplifying:

d^2 = 25 + 16

d^2 = 41

Taking the square root of both sides, we find:

d ≈ √41

Rounding √41 to the nearest hundredth, we get approximately 6.40.

Thus, Rick's house is approximately 6.40 miles away from the school.

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Answer:

103.125

Step-by-step explanation:

110.00 times 15% = 16.5

16.5 times 6.25% = 103.125

Answer - 103.125

Answer:

With the coupon and sales tax, the bicycle costs $100.38.

Step-by-step explanation:

First, we need to find 6.25% of $110.

110 x 0.0625 = 6.88

Now, let's add this to the total, or $110.

110 + 6.88 = $116.88

After that, we need to find 15% of this total.

116.88 x 0.15 = 17.53

Now, we need to subtract this from the total, which is now $116.88.

116.88 - 16.5 = $100.38

Now, with the coupon and sales tax, the bicycle costs $100.38.

Hope this helps! :D

The reflected polygon of the given polygon with 4 units left and 7 units up has been drawn below.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

Let's take coordinate,

(7,-2)

Since,4 units left and 7 units up thus by rule (x - 4,y + 7)

(7,-2) → (3,5)

Plott all points are similar to get the transformed polygon as shown below.

Hence "The reflected polygon of the given polygon with 4 units left and 7 units up has been drawn below".

Hence "The new coordinate of point A(6,3) after translating two units down and four units to the right will be A'(10,1)".

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Answer:

(x+9)(3x+27)

Step-by-step explanation:

3x^2+54x+243 (243×3=729, Product=729, Sum=54) [27+27=54, 27×27=729]

3x^2+27x+27x+243

3x(x+9)+27(x+9)

=(x+9)(3x+27)

The characteristics of the samples of part of the population that scientists use during scientific research must be unbiased

Sampling is a process of selecting some part of whole to carry out research on.

During a scientific research, the scientist which is the researcher is not expected to be bias while choosing the part he will carry out the research on.

Biased sampling will lead to unfair results which is not wanted in a scientific research

Responses should actually be large enough to make impact. hence sample must not be sample

depending on the purpose of research sampling may be random

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Answer:

603 cm³

Step-by-step explanation:

v = πr²h

v = π(4²)12

v = 3.14 * 16 * 12

v = 602.88

rounded

603 cm³

The good estimate, as well as the actual measurement for the given angle, is 110° and 109°.

In construction, a good estimate is an approximate value of a number that makes it faster to make cognitive deductions.

On the other hand, the actual measurement is the exact measurement of an angle or shape when the appropriate measuring tools are being used.

From the diagram, the angle is an obtuse angle because it is more than 90° since it extends more than its perpendicular axis(90°), but it is less than 180°.

Therefore, we can conclude that the good estimate, as well as the actual measurement for the given angle, is 110° and 109°.  

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Answer: A 110 and 109

Step-by-step explanation:

The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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Answer:

c

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\(\frac{AD}{WZ}\) = \(\frac{CD}{YZ}\) , substitute values

\(\frac{10}{46}\) = \(\frac{5}{YZ}\) ( cross- multiply )

10YZ = 230 ( divide both sides by 10 )

YZ = 23 → c

The opportunity cost of spending $90,000 on advertising but only producing 12,000 units can be calculated by comparing the benefits of the advertising investment to the potential alternative uses of that money.

First, let's calculate the total cost of producing 12,000 units. Fixed costs amount to $48,000, and variable costs are $8 per unit, resulting in a total cost of $48,000 + ($8 × 12,000) = $144,000.

Next, we need to calculate the potential sales revenue without advertising. With a price of $16 per unit, the potential sales revenue would be $16 × 12,000 = $192,000.

Now, let's calculate the potential sales revenue after advertising. The advertising multiplier is given as (30,000 + advertising) / 30,000. In this case, the multiplier would be (30,000 + 90,000) / 30,000 = 4.

Therefore, the potential sales revenue after advertising would be $192,000 × 4 = $768,000.

The opportunity cost is the difference between the potential sales revenue after advertising ($768,000) and the potential sales revenue without advertising ($192,000), which is $768,000 - $192,000 = $576,000.

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The function f(x) is a logarithmic function with a vertical asymptote at x = -8. The range of the function is from negative infinite to positive infinity, and it is increasing on it's entire domain. The end behavior of the function on the left side is that as x -> -8^+, y -> -∞, and to the right side, is that as x -> +∞, y -> +∞.

The function starts being defined at x = -8, hence the vertical asymptote of the function is given as follows:

x = -8.

The range of the function is the set containing all values assumed by y on the graph, hence it is in fact from negative infinity to positive infinity, and the function is increasing on it's entire domain.

The end behavior is the values on the extreme left and extreme right of the graph.

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To calculate the probabilities, we need to use the concept of binomial probability.

For a fair coin being tossed 5 times:

(a) Probability of getting five heads:

The probability of getting a head in a single toss is 1/2.

Since each toss is independent, we multiply the probabilities together.

P(Head) = 1/2

P(Tails) = 1/2

P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125

So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.

(b) Probability of getting four heads:

There are five possible positions for the four heads.

P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625

So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.

(c) Probability of getting one head:

There are five possible positions for the one head.

P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625

So, the probability of obtaining one head is approximately 0.15625 or 15.625%.

For a fair die being thrown eight times:

(a) Probability of a 6 occurring six times:

The probability of rolling a 6 on a fair die is 1/6.

Since each roll is independent, we multiply the probabilities together.

P(6) = 1/6

P(Not 6) = 1 - P(6) = 5/6

P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433

So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.

(b) Probability of a 6 never happening:

P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256

So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.

(c) Probability of an odd number of 6s:

To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

Calculate each term and sum them up to find the final probability.

After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.

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1.35% is the percentage change in the population of the city that grew from the years 2010 to 2020.

The population of the city = 89,000

Percentage in the growth of people from 2010 to 2015 = 6.8%

Percentage in the decline of people from  2015 to 2020 = 4.9%

The formula to calculate the percentage change is:

percentage change = (new value - old value) / old value x 100%

To calculate the population of the city after the growth of 6.8%

Population in 2015 = 89,000 x (1 + 6.8/100)

Population in 2015 = 95,012

To calculate the population of the city after the decline of 4.9%

Population in 2020 = 95,012 x (1 - 4.9/100)

Population in 2020 = 90,199.88

Population in 2020 = 90,200

The total change in the percentage of growth of population in the city is:

percentage change = (new population - old population) / old value * 100%

percentage change = (90,200 - 89,000) / 89,000 x 100%

percentage change = 1,200 / 89,000 x 100%

percentage change = 1.35%

Therefore, we can conclude that the population in the city grew by 1.35% from 2010 to 2020.

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Answer:

57 pear juices

Step-by-step explanation:

because we know we have 76 peach juices and the ratio is 4, so we get 19.  This means that 19=x.  And then we multiply 19 by 3 and we get 57.  

Answer:

1.78 lb

Step-by-step explanation:

Total meat needed = 10 lb

David picks out 3 packages at the supermarket.

Each package weighs

2.73 lb

3.2 lb

2.29 lb

Total weight of the 3 packages = 2.73 lb + 3.2 lb + 2.29 lb

= 8.22 lb

How much more meat does David need?

Amount of meat David needs more = Total meat needed - Total weight of meat picked at the supermarket

= 10 lb - 8.22 lb

= 1.78 lb

David needs 1.78 lb more of meat to complete the total 10 lb meat needed

The functions f(x) and f^-1(x) are inverse functions

The functions are given as

f(x) = (2x + 9)/(x + 2) and f^-1(x) = (2x - 9)/(2 - x)

To determine that they are inverse functions, we make use of the following:

using the above as a guide, we have the following:

f(f^-1(x)) = f((2x - 9)/(2 - x)) = (2((2x - 9)/(2 - x)) + 9)/(((2x - 9)/(2 - x)) + 2) = x

and

f^-1(f(x)) = f^-1((2x + 9)/(x + 2)) = (2((2x + 9)/(x + 2)) - 9)/(2 - (2x + 9)/(x + 2)) = x

Hence, f(x) and f^-1(x) are inverse functions.

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Answer: 5¹⁵/₁₆

Step-by-step explanation:

The Wildflower Trail is currently 2³/₈ miles long.

If the city will extend it by 2¹/₂ in 5 years, the length in five years will be;

= 2³/₈ * 2¹/₂

= 19/8 * 5/2

= 95/16

= 5¹⁵/₁₆

Answer:

x = 6

MP = 30

Step-by-step explanation:

5x = 3x + 12

2x = 12

x = 6

MP = 5x = 5 × 6

MP = 30

Answer:

(x - 5)² + (y - 5)² = 18

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (5, 5) , then

(x - 5)² + (y - 5)² = r²

r is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 8)

r = \(\sqrt{(8-5)^2+(8-5)^2}\)

  = \(\sqrt{3^2+3^2}\)

   = \(\sqrt{9+9}\)

   = \(\sqrt{18}\) ⇒ r² = (\(\sqrt{18}\) )² = 18

Then

(x - 5)² + (y - 5)² = 18 ← equation of circle

The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.

To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:

0 = -b * log(base a)(3 - h) + k

Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:

2 = -b * log(base a)(0 - h) + k

Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.

In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.

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Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.

The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.

B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.

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Answer:

L=2v/n -c n and -c is seperated.

Answer:

Step-by-step explanation:its 27

Answer:

13.C

14.C

Step-by-step explanation:

Hello There!

For 13

The question is asking, which percentage would Darian most likely receive if he had studied for 9 hours.

The line of best fit would be used to determine the percentage he would most likely score based on the amount of hours he studied

Looking at the line of best fit we notice that at 9 hours Darian would most likely score a 78% on the test

Thus the answer is C

For 14

The question want you to find the graph that has a constant rate of change and has a y intercept of (0,0) so essentially

The question is asking "which graph best represents a proportional relationship."

If a relation is proportional it would have  a straight line and it would go through the origin (0,0)

Looking at C we notice that the line is straight ( meaning it has a constant rate of change) and it also goes through the origin therefore C is your answer

The total cost for 10 hours of work would be 25 + 50(10) = 525.

Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.

The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.

The total cost for 8 hours of work would be 25 + 50(8) = 425.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

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Current standards indicate that a single subject research design should demonstrate a functional relation between independent and dependent variables with a minimum of three effects.

Single subject research designs, also known as single case experimental designs, are experimental designs commonly used in behavioral sciences to study the effects of interventions or treatments on individuals. These designs involve repeated measurement of the dependent variable under different conditions or phases.

To establish a functional relation between the independent and dependent variables, current standards suggest that a minimum of three effects should be demonstrated. These effects typically consist of a baseline phase, an intervention phase, and a return-to-baseline phase. The baseline phase serves as a control condition where the independent variable is absent or has no effect on the dependent variable. The intervention phase introduces the independent variable, and its effects on the dependent variable are observed.

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9514 1404 393

Answer:

  400; building and equipment fixed cost

Step-by-step explanation:

The cost equation has two terms. The constant term (400) is the daily fixed cost of building and equipment. The variable term (175p) represents the cost of producing p phones.

The y-intercept is 400. It is the daily fixed cost of the building and equipment.

Answer:

The y-intercept of the function is 400 which represents the fixed cost for rent and equipment.

Step-by-step explanation:

Since Parker must pay $400 even to make 0 phones, that means $400 is the fixed cost that Parker must pay for rent and equipment regardless of the number of phones produced.

Have a good day :)