Brynn rides her bike 84 miles in 4 hours.
a. Create a ratio of Brynn's miles per hour.

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Explanation:

We'll need these trig ratios

Refer to the diagram below.

sin(B) = r = r/1 which tells us that the side opposite angle B is r units long. The hypotenuse is 1.

cos(B) = s = s/1 means the adjacent side to angle B is of length s

sides r and s are the two legs of the right triangle.

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From that diagram, we can then say:

sin(angle) = opposite/hypotenuse

sin(C) = s/1

sin(C) = s

This is identical to cos(B). We can say cos(B) = sin(C)

Also, we can say:

cos(angle) = adjacent/hypotenuse

cos(C) = r/1

cos(C) = r

So cos(C) = sin(B)

This works because B+C = 90

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So,

sin(C) - cos(C) = cos(B) - sin(B) = s - r

The correct function for h(x), which represents the transformation of f(x) by shifting it down 4 units and right 3 units, is h(x) = |x - 3| + 4. To determine the correct function for h(x) that represents the desired transformation of f(x).

We need to understand the effects of shifting down and right on the absolute value function. Shifting a function down by a certain number moves all the points on the graph vertically downward by that amount. In this case, f(x) is shifted down by 4 units. To achieve this, we add 4 to the original function, resulting in |x| + 4.

Shifting a function right by a certain number moves all the points on the graph horizontally to the right by that amount. In this case, f(x) is shifted right by 3 units. To achieve this, we replace x in the function with (x - 3), resulting in |x - 3|.Combining the two transformations, we have h(x) = |x - 3| + 4, which correctly represents the function obtained by shifting f(x) down 4 units and right 3 units.

In h(x) = |x - 3| + 4, the term |x - 3| represents the absolute value of the shifted variable x - 3, and adding 4 moves the entire graph vertically upward by 4 units. Therefore, h(x) = |x - 3| + 4 is the correct function for h(x), representing the desired transformation of f(x) by shifting it down 4 units and the right 3 units.

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Answer:

Step 1: Add the ratios

Step 2: Divide 160 by 8.

Step 3: Multiply.

Therefore, there are 60 boys and 100 girls at Rotterdam High School

Hoped this helped.

\(BrainiacUser1357\)

Answer:

I think A  but if im wrong tell me sorry if it wrong

Step-by-step explanation:

Answer:

8 is 2 answers. the answer is A

The answer of the given expression as a common fraction in lowest terms is  437/495  .

In the question ,

it is given that ,

the expression is 0.4overline 8 + overline 0.37 ,

that can be written as \(0.4\overline{8}\) + \(0.\overline{37}\)

On further simplifying the above expression further ,

we get ,

= (48 - 4)/90 + 37/99

= 44/90 + 37/99

taking the LCM of 90 and 99 as 990 and solving further ,

we get ,

= 484/990 + 390/990

= ( 484 + 390 )/990

= 874/990

in lowest form it is = 437/495 .

Therefore , the answer to the expression is  437/495  .

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Answer:

d =3√5

Step-by-step explanation:

\((2,0) =(x_1,y_1)\\ (8, -3) =(x_2,y_2)\\\\d =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d=\sqrt{\left(8-2\right)^2+\left(-3-0\right)^2}\\\\d = \sqrt{(6)^2+(-3)^2}\\ \\d = \sqrt{36+9}\\ \\d = \sqrt{45} \\\\d = 3\sqrt{5}\)

The best measure of central tendency to represent the ages of the team, including the coach, would be the mean or average age.

To calculate the mean, we add up all the ages and divide by the total number of people:

Mean = (Sum of all ages) / (Total number of people)

In this case, we have:

12 players who are 15 years old

8 players who are 16 years old

1 coach who is 43 years old

So, the total number of people is 12 + 8 + 1 = 21.

The sum of all the ages is:

12 × 15 (years old) + 8 × 16 (years old) + 43 (years old) = 180 + 128 + 43 = 351 (years old)

Therefore, the mean age of the team is:

Mean = 351 / 21 = 16.71 (rounded to two decimal places)

The mean is a good measure of central tendency because it takes into account all the ages in the team, including the coach, and provides an average value that is representative of the ages of the entire team. It is also a useful measure for making comparisons between different groups or teams based on their age and to estimate the mean ages of various people.

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Answer:

5 oranges would cost $1.60

Answer:

(1,-5)

Step-by-step explanation:

Answer:

(x, y) --( 3/2x, 3/2y)

Step-by-step explanation:

The probability of the spinner landing on whistle during Edgar's turn is 4/9

The experimental results are given as:

3 glow sticks, 5 bouncy balls, 8 whistles, and 2 foam gliders

The total number of sample is:

Sample = 3 + 5 + 8 + 2

Sample = 18

The probability that Edgar's spin land on whistle is:

P(Whistle) = Whistle/Sample

This gives

P(Whistle) = 8/18

Evaluate

P(Whistle) = 4/9

Hence, the probability of the spinner landing on whistle during Edgar's turn is 4/9

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The option that describes Myra’s distance as time increases is increasing.

Looking at the table provided, it can be seen that as time passes, the distance ran by Myra increases. It can be seen that distance increases from 0.4miles to 0.8 miles when time increases from 2 seconds to 4 seconds.

Change in distance run per time = change in distance / change in time

(0.4 - 0) / (2 - 0)

0.4 / 2 = 0.2

Myra's distance increases by 0.2 per second. This means that Myra is running at a constant speed. Thus, the rate of the increase in the distance run by Myra is a constant 0.2 per second.

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Answer:

the answer is increasing

Answer:

y = $10 + I

where I = PRT/100

P = $10, R = $20 T = x

Step-by-step explanation:

I represents the Simple Interest formula

P is the Principal or the Money used to start the savings account.

R represents the rate which in this case is $20 let month

T is the time expended which in this case is x

Hope this helps!!

To determine whether the number of customers, which is expected to be 15 each day, follows a uniform distribution, a chi-square test for goodness of fit should be performed with a specified significance level (alpha).

The chi-square test for goodness of fit is used to determine if observed data follows an expected distribution. In this case, we want to test whether the number of customers each day, which is expected to be 15, follows a uniform distribution.

To perform the test, we need to collect data on the number of customers over a period of time and compare it to the expected uniform distribution. The observed frequencies for each category (e.g., the number of days with 0 customers, 1 customer, 2 customers, etc.) would be obtained.

Then, the chi-square test statistic can be calculated based on the observed and expected frequencies. The test statistic measures the discrepancy between the observed and expected distributions.

To interpret the test results, we compare the calculated chi-square value to the critical chi-square value at the chosen significance level (alpha). If the calculated chi-square value exceeds the critical value, we reject the null hypothesis and conclude that the number of customers does not follow a uniform distribution. Conversely, if the calculated chi-square value does not exceed the critical value, we fail to reject the null hypothesis, indicating that the number of customers can be considered to follow a uniform distribution.

Please note that the specific calculations and decision-making process require additional data and the use of statistical software or tables to obtain the critical chi-square value.

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Answer:

6

Step-by-step explanation:

6x(3)=18    (3)x2= 6

     |_____|

A: The percent of bromegrass hay in the ration is 30%.

B: The concentration of NEm on a DM basis is 16.00 Mcal/cwt.

To balance a ration for 70% TDN (DM) using bromegrass hay and wheat middlings, we need to determine the percentage of bromegrass hay in the ration. Since the total ration needs to provide 70% TDN, the remaining portion (30%) will be composed of wheat middlings. Therefore, the percent of bromegrass hay in the ration is 30%.

Wet beet pulp contains 17% DM and 13.60 Mcal NEm/cwt on an as-fed basis. To find the concentration of NEm on a DM basis, we need to convert the values to a dry matter basis. Since wet beet pulp has 17% DM, it means that 83% of it is moisture.

The NEm value of 13.60 Mcal/cwt is already on an as-fed basis, considering the total weight including moisture. To find the NEm concentration on a DM basis, we divide the NEm value by the percentage of DM, which is 17%. So, the concentration of NEm on a DM basis is 13.60 Mcal/cwt / 0.17 = 16.00 Mcal/cwt.

By calculating these values, we can determine the percentage of bromegrass hay in the ration and the concentration of NEm on a DM basis.

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Answer:

Economic importance

Step-by-step explanation:

Answer:

Economic importance

Step-by-step explanation:

OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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Equation: 80 - 6.75x = 19.25

Sandwiches: 9

(x=9)

The constant of proportionality that relates the cost in 72 dollars as y, to the number of gallons of unleaded gasoline in 22.5 gallons of unleaded gasoline as x is $3.20 per gallon of unleaded gasoline.

The constant of proportionality is the ratio of the so-called proportional relationship that relates two given values ​​to each other.

Other names for the constant of proportionality are constant ratio, constant rate, unit rate, variable constant, and even rate of change.

The relationship between two variables, X and Y, is directly proportional if it can be expressed in terms of Y/X = k or Y = Xk.

y/x = k

k is the constant of proportionality.

Given that:

y = $72 and x = 22.5 gallons.

So, the value of the constant of proportionality (k) = 72/22.5

=> k = 720/225

Dividing both by the numerator and denominator by 45. We get,

=> k = 16/5

The value of the constant of proportionality (k) = $3.20 per gallon of unleaded gasoline.

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Answer:

$24,582

Step-by-step explanation:

E = 2.75q + $24,582

The expense equation above has the general relation :

Expense = [(variable cost * number of units) + fixed cost]

The fixed cost incurred is not dependent on the number of units purchased or produced and as such is usually regarded as a constant in the formula.

Thus, the fixed cost in the expense equation is thus : $24,582

Answer:

Step-by-step explanation:

-5 and 5 make

if you add them you will get 0

-5+5

=0

therefore

The exact relationship between x and y may vary depending on the material and design of the object.

The relationship between the variables x and y, in terms of length and weight, is that as the length of the object (x) increases, the weight or load it can bear (y) also increases.

This is because the longer an object is, the more support it can provide, and the more weight it can hold without breaking or collapsing.

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The correct answer is c. P(B∣A) = b/a.

When two events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event. In this case, P(B∣A), the probability of event B given event A, is equal to the probability of event B, which is b.

P(A∣B), the probability of event A given event B, would be calculated using Bayes' theorem:

P(A∣B) = P(A) * P(B∣A) / P(B)

Since P(B∣A) = b/a and P(B) = b, substituting these values into Bayes' theorem, we get:

P(A∣B) = a * (b/a) / b = 1

Therefore, P(A∣B) is equal to 1.

The options provided in the question do not include the correct answer for P(A∣B).

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Answer:

x = 14

Step-by-step explanation:

The triangles are similar, so the ratios of corresponding sides are equal, that is

\(\frac{DF}{AC}\) = \(\frac{EF}{BC}\) , substitute values

\(\frac{x}{21}\) = \(\frac{18}{27}\) ( cross- multiply )

27x = 378 ( divide both sides by 27 )

x = 14

So the answer is 1.3 after rounding to 10.

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Answer:

Given - angle X = angle A

angle Z = angle C

To find - criteria of congruence

Solution -

In triangle BAC and triangle YXZ

angle X = angle A

angle Z = angle C

we need one pair of side to be comgruent to show the following traingles congruent

if AC is congruent to XZ

then by angle side angle criteria of triangle both the triangles are congruent..

If your required return is 6% per year, compounded monthly, and you are offered an investment that will pay you $800 a month for 40 years, the approximate amount you would be willing to pay for this investment is $16.80.

To determine the present value of the investment, we need to calculate the discounted value of the future cash flows. In this case, the cash flow is $800 per month, and the time period is 40 years, or 480 months.

Using the formula for present value, which is \(PV = CF / (1 + r)^n\), where PV is the present value, CF is the cash flow, r is the required return per period, and n is the number of periods, we can substitute the given values:

PV = $800 / (1 + 0.06/12)\(^(480)\)

Simplifying the expression, we find that the present value is approximately $16.80. This means that if you want to achieve a required return of 6% per year, compounded monthly, you would be willing to pay approximately $16.80 for this investment.

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