sec^2 (pi/2 - x) * [sin^2 (x) - sin^4 (x)]

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

I think the anwser for this is 60 in miles

Answer:

23

Step-by-step explanation:

Answer:

9. 72

10. 67

11. 41

12. 67

Answer:

the answer is 2342

Step-by-step explanation:

because 7x add 2y = 2342

Answer:

75%

Step-by-step explanation:

Step-by-step explanation:

quarter = 25¢

dime = 10¢

nickel = 5¢

1 quarter (25¢) + 3 dimes (3 x 10¢, which is 30¢) + 4 nickels (4 x 5¢, which is 20¢)

25 + 30 + 20

25 + 50

75¢

1 dollar is 100¢

75/100 = 75%

The total quarts of paint D'Naisa mix to form her favorite shade of orange paint is 7.5 quarts.

Convert pints to quarts

1 pints = 0.5 quarts

3 pints = 1.5 quarts

Convert gallon to quarts

1 gallon = 4 quarts

Total quarts of paint D'Naisa mix = orange + yellow + red

= 4 quarts + 2 quarts + 1.5 quarts

= 7.5 quarts

Therefore, the total quarts of paint D'Naisa mix to form her favorite shade of orange paint is 7.5 quarts.

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Answer:

2(x^2-16y^2)

Step-by-step explanation:

9514 1404 393

Answer:

  2(x -4y)(x +4y)

Step-by-step explanation:

Once you factor out the common factor of 2, what remains is the difference of squares. That can be factored further.

The factoring of the difference of squares is ...

  a² -b² = (a -b)(a +b)

Then we have ...

  2x² -32y² = 2(x² -16y²) = 2(x² -(4y)²)

  = 2(x -4y)(x +4y)

The statement "Just because there seems to be a linear relationship between an X and a Y, does not mean that Y is affected or influences by X" is false.

If there is a linear relationship between two variables X and Y, it means that changes in X are associated with changes in Y. This association can be positive, meaning that as X increases, Y also tends to increase, or negative, meaning that as X increases, Y tends to decrease.

However, it is important to note that a linear relationship does not necessarily imply causation. Just because two variables are linearly related, it does not necessarily mean that one variable is affecting or influencing the other. There could be other factors or variables that are affecting both X and Y, or the relationship could be spurious, meaning that the association is due to chance or some other factor that is not related to the variables in question.

Therefore, while a linear relationship is an important indicator of association between two variables, it does not necessarily imply causality or a direct influence between them. Additional research and analysis are often needed to establish the nature and direction of the relationship and to identify any possible underlying causes or factors.

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Answer:

yes. it is.

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Answer:its b i think

Step-by-step explanation:

Answer: D, polygenis because a trait is controlled by three different genes.

Step-by-step explanation: I got 100 of the test ^^

Answer:

The answer is 4

Step-by-step explanation:

g(x)=3x-2

g(2)=3*2-2=6-2=4

It is impossible to construct an equilateral triangle with three vertices with integer coordinates.

Suppose ABC is an equilateral triangle with integer coordinates.

Then its area by the formula \(\frac{1}{2} (x_{1} (y_{2} -y_{3})+x_{2}(y_{3} -y_{1})+x_{3} (y_{1} -y_{2}))\) is an integer.

Let a be the length of a side. Then \(a^{2}\) is a positive integer. The area of the equilateral triangle is \(\sqrt{\frac{3}{4} } a^{2}\) which is irrational.

Hence we get a contradiction.

Therefore an equilateral triangle cannot have all its vertices integer coordinates.

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It is impossible to construct an equilateral triangle with three vertices with integer coordinates because the distance between any two points with integer coordinates is also an integer. In an equilateral triangle, all three sides must have equal length. However, if the distance between two points with integer coordinates is an integer, then the distance between the third point and either of the first two points will not be an integer in most cases. This means that it is not possible to find three points with integer coordinates that are equidistant from each other.

The distance between two points with integer coordinates can be calculated using the Pythagorean theorem. If we consider two points with coordinates (x1, y1) and (x2, y2), the distance between them is √((x2-x1)²+(y2-y1)²). If the distance between two points is an integer, it means that the difference between the x-coordinates and the y-coordinates is also an integer. In an equilateral triangle, the distance between any two points must be the same. However, it is impossible to find three points with integer coordinates that are equidistant from each other.

In conclusion, it is not possible to construct an equilateral triangle with three vertices with integer coordinates because the distance between any two points with integer coordinates is also an integer. In an equilateral triangle, all three sides must have equal length. However, if the distance between two points with integer coordinates is an integer, then the distance between the third point and either of the first two points will not be an integer in most cases. This means that it is not possible to find three points with integer coordinates that are equidistant from each other.

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Answer: It has 13 sides

Step-by-step explanation:

Answer:

e = - \(\frac{1}{2}\) q + \(\frac{1}{3}\)

Step-by-step explanation:

- 12e = 6q - 4 ( divide through by - 12 )

e = \(\frac{6}{-12}\) q - \(\frac{4}{-12}\) , that is

e = - \(\frac{1}{2}\) q + \(\frac{1}{3}\)

Statements (iii) and (iv) are not equivalent, as they also have different truth values for some combinations of p and q.

What are proportions?

In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:

a/b = c/d

To construct the truth tables, we assign a truth value of either true or false to each statement. We use "T" to represent true and "F" to represent false. Then, we evaluate the truth value of each statement for all possible combinations of truth values for the variables involved. In this case, there is only one variable, which is whether or not someone knows CPR.

Let's use the variable p to represent the statement "someone knows CPR" and q to represent the statement "someone is a paramedic".

Then, the statements can be rewritten as follows:

i. p is necessary for q.

ii. p is sufficient for q.

iii. not p is necessary for not q.

iv. not p is sufficient for not q.

The truth tables for each statement are as follows:

i.

p q p is necessary for q

T T T

T F F

F T T

F F T

ii.

p q p is sufficient for q

T T T

T F F

F T T

F F T

iii.

p q not p is necessary for not q

T T F

T F T

F T F

F F T

iv.

p q not p is sufficient for not q

T T F

T F T

F T F

F F T

From the truth tables, we can see that statements (i) and (ii) are not equivalent, as they have different truth values for some combinations of p and q. Similarly, statements (iii) and (iv) are not equivalent, as they also have different truth values for some combinations of p and q.

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Answer

The equation described is

(3n/5) + 8 = 15

Explanation

Let the number of people in the cafeteria be n

- Each person had 1 friend come sit with them and this tripled the amount.

Number of people in the cafeteria = 3n

- Then, the entire group divided into 5 groups, and all but one group left and went outside, so only 1/5 of the total people were left in the cafeteria.

Number of people left in the cafeteria = (3n/5)

- 8 more people came into the cafeteria.

Number of people left in the cafeteria = (3n/5) + 8

- The total number of people in the cafeteria by the end of lunch was 15.

Number of people left in the cafeteria = (3n/5) + 8 = 15

(3n/5) + 8 = 15

Hope this Helps!!!

Answer:

Step-by-step explanation:

Given the expressions :

The list price of the item is 80 percent of the original price. The price of the item has been reduced by 80 percent.

Write a pair of linear equations using variables of your choice to prove that these two statements are not equivalent.

Let the original price = x

Expression 1 : The list price of the item is 80 percent of the original price

List price = 80% of x

List price = 0.8x

Expression 2: The price of the item has been reduced by 80 percent

Price = x - 80% of x

Price = x - 0.8x

Price = 0.2x

Multiply by percentages is different from an Incremental or decrement in percentage. The first expression above signifies a direct multiplication by the stated percentage while the second signifies a decrease in price based on a certain percentage of the original price.

Wording of percentages are so important for clarity in other to understand if the statement signifies a direct application of the percentage prescribed or a change in quantity, amount or size relative to the base unit.

Answer:

x=6,  y=5

Step-by-step explanation:

Since in a parellelogram, 2 sides equal eachother, so we get an equation:

2y+4=14

2y=10

y=5

5x-4=6x-10

5x-4+10=6x

5x+6=6x

x=6

So we get that x=6 and y=5.

Answer:

59

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

5x8=40

10+40=50

50+9=59

Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

Limits at infinity refer to the behavior of a function as its input values approach positive or negative infinity.

When we say that a function has a limit as its input approaches infinity, we mean that as the input values become larger and larger, the output values of the function approach a certain value or become infinitely large themselves. Consider the function f(x) = 1/x.

As x approaches infinity, the value of the function approaches 0, because no matter how large x gets, 1/x becomes smaller and smaller. We can write this as:

lim f(x) = 0

x → ∞

Similarly, if we consider the function g(x) = x², as x approaches infinity, the value of the function becomes infinitely large. We can write this as:

lim g(x) = ∞

x → ∞

On the other hand, if we consider the function h(x) = e⁻ˣ, as x approaches infinity, the value of the function approaches 0 as well, because the exponential term becomes very small as x becomes very large. We can write this as:

lim h(x) = 0

x → ∞

Limits at negative infinity work in a similar way, but the input values approach negative infinity instead of positive infinity. For example, consider the function j(x) = 1/x. As x approaches negative infinity, the value of the function approaches 0 again, but from the negative side. We can write this as:

lim j(x) = 0

x → -∞

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Complete Question:

What is meant by limits at infinity?

Bob Sparkle is mixing up batch of Nuclear Fizz punch. He combines cranberry juice and soda water in a ratio of 3 to 5. he will require 22.8 fl oz of cranberry juice should to mix with 38 fl oz of soda wate

The ratio Bob Sparkle is mixing up batch of Nuclear Fizz punch is

The ratio of cranberry juice = 3

the ratio of soda water = 5

Using the ratio

5 ⇒ 38 fl oz

3 ⇒ ?

cross multiplying gives

5 * ? = 3 * 38

? = 3 * 38 / 5

? = 114 / 5

? = 22.8 fl oz of cranberry juice

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Answer: what is a and c

Step-by-step explanation:

We need a and c to solve for b.

Answer:

B

Step-by-step explanation:

To go from B' to B , perform the inverse operation

That is the translation rule is (x - 4, y - 5 ) , then

B'(7, - 4 ) → B (7 - 4, - 4 - 5 ) → B (3, - 9 ) → option B

The Average Rate Of Change for intervals is

(a) from the year 1930 to 1940 the graph is moving upwards so it is positive  ,

(b) from year 1950 to 1970 the graph is moving downwards so it is negative ,

(c) from year 1930 to 1970 the graph is decreasing so it is negative .

The Average Rate Of Change for a function "f" over interval [a,b] is represented by

(f(b) - f(a))/(b - a) ;

From the graph that represents the the population with year ,

we have to calculate whether the rate of change is positive or negative .

Part(a) ,

In the year 1940 , population is approx. 44000 and in the year 1930 population is 40000 ,

So , the Rate Of Change from  the year 1930 to 1940 is

= (44000-40000)/(1940 - 1930)

= 4000/10

= 400 which is positive .

Part(b) ,

In the year 1970 , population is approx. 35000 and in the year 1950 population is 45000 ,

So , the Rate Of Change from  the year 1950 to 1970 is

= (35000-45000)/(1970 - 1950)

= -10000/20

= -500 which is negative .

Part(c) ;

In the year 1970, population is approx. 35000 and in the year 1930 population is 40000 ,

So , the Rate Of Change from  the year 1930 to 1970is

= (35000-40000)/(1970 - 1930)

= -5000/40

= -125 which is negative .

The given question is incomplete , the complete question is

For each interval, in the graph given below decide if the every rate of change is positive or negative.

(a) from 1930 to 1940

(b) from 1950 to 1970

(c) from 1930 to 1970 .

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The mean is 13, the median is 13, the mode is 7, and the range is 14 for this given data set.

To find the mean of a set of data, we add up all the values and divide by the total number of values. To find the median, we arrange the values in order, and then find the middle value or the average of the two middle values. To find the mode, we look for the value in the data set that occurs most frequently. To find the range, we subtract the smallest value from the largest value.

For the given data set: 13, 7, 17, 19, 7, 15, 11, 7, 21

Mean:

(13 + 7 + 17 + 19 + 7 + 15 + 11 + 7 + 21) / 9 = 13

Median:

Arranging the values in order: 7, 7, 7, 11, 13, 15, 17, 19, 21

The median is the middle value, which is 13.

Mode:

The value that occurs most frequently is 7.

Range:

The smallest value is 7 and the largest value is 21.

Therefore, the range is 21 - 7 = 14.

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The sequence is arithmetic. The common difference is 6. Answer: b

If a sequence is arithmetic, there exists a common difference d that is added to each term to get the next term. For instance, given the sequence 2, 5, 8, 11, 14, ...  to get each of the subsequent terms, we add 3. 2 + 3 = 5; 5 + 3 = 8, and so on.

The given sequence is 2,7,13,20, ...To determine whether it is an arithmetic sequence, we need to find the common difference d.

Subtract each subsequent term from its preceding term;7 - 2 = 513 - 7 = 620 - 13 = 7

Therefore, the common difference d is 6.

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When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a Z-Score.

In statistics, each mathematical formula and each element has an internationally recognised name. This is to ensure that everyone in the world understands what every researcher has to say in every letter. A statistic that tells the number of standard deviations a data value is above or below the mean is called a z-score. And its formula is, Z = (X − μ)/σ

where, μ--> population mean,

σ --> population standard deviation and

x --> the raw-score.

Hence, when a data value is converted to a standardized scale, new value, Z-Score is representing the number of standard deviations the data value lies from the mean.

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