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What is the period of the function y = cos(πΘ)? Explain your reasoning

The area of the figure which consists of two congruent triangles and a rectangle is calculated as: 52 cm².

In the diagram given above, we see a composite figure consisting of two triangles that are congruent, and a rectangle, therefore:

Area of the figure = area of the two triangles + area of rectangle.

The Area of the two triangles:

base = 8 cm²

height = 4.5 cm²

Area of the two triangles = 2(1/2 * base * height) = base * height

Area = 8 * 4.5 = 36 cm²

Area of rectangle = length * width = 4 * 4

= 16 cm²

Total area = 36 + 16 = 52 cm²

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When reading a bar graph, it is important to focus on the range and size of the scale values, the value of the categories and the height of each bar, and the comparison of the height of the bars to each other. These key elements will help to accurately interpret the data represented in the bar graph.

When reading a bar graph, it is most important to remember to:

Identify the range and size of the scale values: The range and size of the scale values determine the overall spread and variability of the data represented in the bar graph. Understanding the range and size of the scale values is important for interpreting the data accurately and making comparisons between different categories or data points.

Note the value of the categories and the height of each bar: The categories and the height of each bar represent the data points in the bar graph. The categories are typically labeled on the x-axis and the height of each bar represents the frequency, count, or proportion of the data points in each category.

Compare the height of the bars to each other: Comparing the height of the bars to each other helps to identify patterns, trends, and relationships in the data. For example, if two bars have similar heights, it may indicate that the categories they represent are similar in some way, while if one bar is much taller than the others, it may indicate that the category it represents is an outlier or an exception.

It is important to remember that while bar graphs are a useful tool for visualizing categorical data, they do not provide information about the relationship between variables. To understand the relationship between variables, a scatterplot is a better choice. The standard deviation is a measure of variability in a set of data, but is not typically shown in a bar graph.

Thus, In conclusion, when reading a bar graph, it is important to focus on the range and size of the scale values, the value of the categories and the height of each bar, and the comparison of the height of the bars to each other. These key elements will help to accurately interpret the data represented in the bar graph.

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When reading a bar graph, it is important to focus on the range and size of the scale values, the value of the categories and the height of each bar, and the comparison of the height of the bars to each other. These key elements will help to accurately interpret the data represented in the bar graph.

When reading a bar graph, it is most important to remember to:

Identify the range and size of the scale values: The range and size of the scale values determine the overall spread and variability of the data represented in the bar graph. Understanding the range and size of the scale values is important for interpreting the data accurately and making comparisons between different categories or data points.

Note the value of the categories and the height of each bar: The categories and the height of each bar represent the data points in the bar graph. The categories are typically labeled on the x-axis and the height of each bar represents the frequency, count, or proportion of the data points in each category.

Compare the height of the bars to each other: Comparing the height of the bars to each other helps to identify patterns, trends, and relationships in the data. For example, if two bars have similar heights, it may indicate that the categories they represent are similar in some way, while if one bar is much taller than the others, it may indicate that the category it represents is an outlier or an exception.

It is important to remember that while bar graphs are a useful tool for visualizing categorical data, they do not provide information about the relationship between variables. To understand the relationship between variables, a scatterplot is a better choice. The standard deviation is a measure of variability in a set of data, but is not typically shown in a bar graph.

Thus, In conclusion, when reading a bar graph, it is important to focus on the range and size of the scale values, the value of the categories and the height of each bar, and the comparison of the height of the bars to each other. These key elements will help to accurately interpret the data represented in the bar graph.

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After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

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Answer:

22.5

Step-by-step explanation:

first of all, the first sign in the designations of the triangles is not an A. it is the Greek Delta (capital) sign. standing for "triangle" due to its shape.

as the diagram shows (and the description says correctly), ADL and AKM are similar triangles.

that means they have the same angles.

and in order to keep the same angles even when the lengths of the sides are different, the relative relation of the side lengths must be the same for all sides.

that means, if one side changes by a factor f, then both other sides must change by the same factor.

so, by checking the change factor for AD (to AK), we can then determine the change of AL to AM. and then we simply subtract AL from AM and get LM.

the original AD = 14.

AK = AD + DK = 14 + 21 = 35

the change factor f is then AK/AD = 35/14 = 5/2

in other words AD grew by a factor of 5/2.

AM is then created by applying the same factor to AL.

=> AM = 15 * 5 / 2 = 75 / 2 = 37.5

=> LM = AM - AL = 37.5 - 15 = 22.5

Step-by-step explanation:

intindihin nyo na lang.

Answer:

3

Step-by-step explanation:

So we have the function:

\(f(x)=3x^2+2x-5\)

To evaluate the value of f(-2), substitute -2 for x. Thus:

\(f(-2)=3(-2)^2+2(-2)-5\)

Square first:

\(f(-2)=3(4)+2(-2)-5\)

Multiply:

\(f(-2)=12-4-5\)

Now, subtract:

\(f(-2)=8-5=3\)

So:

\(f(-2)=3\)

And we're done!

Answer:

30

Step-by-step explanation:

20x/100=6

cross multiply

600=20x

Divide both sides by the coefficient of x

600/20=x

x=30

Answer:

30

Step-by-step explanation:

20% is 1/5 of 100.

This means working backwards we can multiply 6 and 5 because 1/5's reciprocal is 5.

This gets 30 gumballs.

Answer: Reflection about x-axis

Step-by-step explanation:

Given

Initially, vertices are \(A(-2,0), B(2,5),C(3,1)\)

After reflection they become \(A(-2,0),B(2,-5),C(3,-1)\)

It is clear that the x coordinate remains unchanged and the y coordinate changes its sign. It occurs when reflection is done about the x-axis.

For example, when (a,b) is reflected about the x-axis, it becomes (a,-b).

So, here reflection is being done about the x-axis.

Answer:

19

Step-by-step explanation:

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Answer:

1 hour and 30 minuets

Step-by-step explanation:

Answer:

22.1 inches of rain

Step-by-step explanation:

The best way to approach this problem is to find out how much fell in week. As you know what two weeks is, you simply have to halve this, giving you that one week is 5 inches of rain. One you have this, you can multiply this by 4 (as this will give you 4 weeks, or 28 days), and this gives you 20 inches in 28 days. You should then find the odd three days. If you divide 5 by 7, this will give you the rain fall in one day. 5/7= 0.8 inches per day. You then have top multiply this by 3 (as you've got three odd days), and this gives you 2.4. You then have to add together 2.4 and 20, giving you 22.4

Therefore, if the rain continued to fall at the same rate for 31 days, it would receive 22.1 inches of rain.

Viksim, this is the solution:

• Alex's base salary = $ 2,200

• Alex's commision = 10% of total vacuum cleaners or 0.1

• Total sales one month = $ 4,300

In consequence,

• Total salary = Base salary + Commission

• Total salary = 2,200 + (0.1 * 4,300)

• Total salary = 2,200 + 430

• Total salary = 2,630

Alex earned $ 2,630 of total salary

Answer:

a. 64

b. 24

c. 16

d. 6/16

e. 1/8

Explanation:

a. How many different codones are there?

Answer: there are 64 different codons

b. How many different codons are there in which all three bases are different?

Answer:there are 24 different codons in which all three bases are different

c. The base A and G are called purines, while C and T are called pyrimidines. How many different codons are there in which first base is purines and second base is pyrimidines

Answer: there are 16 different codons where the which first base is purines and second base is pyrimidines

d. What is the probability that all three bases are different?

Answer: probability of all three bases being different is

Number of codons with three different bases / total number of codons

= 24/64 = 6/16

e. What is the probability that first base is purines and second and third base is pyrimidines?

Answer: prob is number of codons with first base being purine and second and third base being pyrimidines / total number of codons

= 8/64 = 1/8

Answer:

12

Step-by-step explanation:

If you solve the second equation and substiture to the first, you get y = 5, and x = -7.

5-(-7) = 5+7=12

Answer:

44

Step-by-step explanation:

44

Answer:

484 cars

Step-by-step explanation:

sum the parts of the ratio, 8 + 12 = 20 parts

Divide the total made by 20 to find the value of one part of the ratio

1210 ÷ 20 = 60.5 ← value of 1 part of the ratio , then

number of cars = 8 × 60.5 = 484

Answer:

y = (1/4)x + 0

or

y = (1/4)x

the (1/4) is supposed to be a fraction of 1 in the numerator and 4 in the denominator

Step-by-step explanation:

Answer:

y=1/4x

Step-by-step explanation:

the y-intercept is 0 because when x is 0 y is also 0

the slope is 1/4 because rise/run so if you increase y by 1, x increases by 4

Answer:

B. capacity.

Step-by-step explanation:

In this scenario, Mahak is measuring the maximum space inside a watering can. Thus, this is a measure of capacity because it gives the exact information as to the quantity of water the watering can hold at any given time.

Basically, the capacity of a container is a measure of the volume of fluid or any other substance that it is able to hold, which is typically measured in litres or cubic centimeters.

For example, if the shape of the watering can is cylindrical; its capacity (volume) would be measured using a mathematical expression.

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

Answer:

a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.

Step-by-step explanation:

The model equation is given as:

52(18) + x = 1200

a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.

52($18) + x = $1200

52(18) + x = $1200

Option a is correct

b) Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200.

x = weekly bonus, hence, we have the equation:

$18 + (x)52 = $1200

Option b is wrong

c) Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200.

This is represented as:

$52 + $18(x) = $1200

Option c is wrong

d) Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.

This is represented as :

$52+ $x + $18 = $1200

Option d is wrong.

Therefore, the correct statement that modelled the equation is option a

Answer:

B is the answer I believe. I could be C tho. B is my final answer.

Answer: i believe the answer is 39

Step-by-step explanation:

sum divided by the terms

The best measure of variability for the given data, based on the description provided, is the mean absolute deviation.

To determine the best measure of variability for the given data, we need to consider the characteristics of the data distribution. In this case, the description of the data distribution is missing, so we cannot directly identify whether it is uniform, skewed, or symmetric.

However, regardless of the shape of the distribution, the mean absolute deviation (MAD) is a suitable measure of variability. MAD calculates the average distance between each data point and the mean of the data set. It provides a measure of the average amount of variation or dispersion in the data, regardless of the shape of the distribution.

Other measures of variability, such as the median, mean, and interquartile range, also have their uses, but the mean absolute deviation is particularly suitable when the shape of the distribution is not specified.

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From the given picture, we can note that

Similarly,

In the same way, we have

and finally,

Based on the market research, Dina can determine which ice cream flavor she should put on sale this week by comparing the number of people who would purchase each flavor if it was on sale.

For example, if 70 people said they would purchase chocolate ice cream if it was on sale and only 30 people said they would purchase vanilla ice cream if it was on sale, then Dina should put chocolate ice cream on sale this week.

On the other hand, if 60 people said they would purchase vanilla ice cream if it was on sale and only 40 people said they would purchase chocolate ice cream if it was on sale, then Dina should put vanilla ice cream on sale this week.

It's important to note that Dina's market research only represents a sample of people who walk by her ice cream shop and stop in. It may not be representative of the entire population of potential customers. Therefore, Dina should take this into account when making her decision.

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Answer:

\(\textsf{D.}\quad f(x)=\dfrac{(x-1)}{x(x-3)}\)

Step-by-step explanation:

An asymptote is a line that the curve gets infinitely close to, but never touches.

Vertical asymptotes of a rational function occur when the denominator equals zero.

From inspection of the given graph, the vertical asymptotes are:

Therefore, for the denominator to equal zero, it must include the factors:

Since the only answer option that has the factors x and (x - 3) is option D, the graphed rational function is:

\(f(x)=\dfrac{(x-1)}{x(x-3)}\)

Answer:

A slope of zero means a horizontal line (parallel to the x axis). So the line is y=-6, which is the y intercept. There is no x term because y=-6 for all x.

Step-by-step explanation:

Answer: y + 10 = -9(x - 6)

Step-by-step explanation:

Use this formula to solve for point-slope form: y - y1 = m(x - x1)

m would be the slope and the given slope is -9

y1 refers to the given y coordinate and x1 refers to the given x coordinate.

y + 10 = -9(x - 6)

Answer:

The perimeter is 104 yd. The area is 532 yd².

Step-by-step explanation:

The find the perimeter, you need to add up all of the sides. You need to double the given sides so that you can get the other side lengths. To find the area, you need to multiply the two side lengths that are adjacent (next to each other). Finally, once you have multiplied the two values, you square it (put a "to the power of two" sign) after the "yd."

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.