Prove the following statement: The difference of any two odd integers even

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:WAIT HE IS TELLING THE TIME

Step-by-step explanation:

Answer:

Where are the options????

Yes, It will give her a obtuse scalene triangle. Obtuse because one of its angle is 136° which is between 90° and 180° and scalene because it's all sides are unequal. Thus, Proving it a obtuse scalene triangle..

Drawing a line between these stars on a diagram would give Kaylee an obtuse scalene triangle.

Scalene triangles are triangles which has all three sides having different side lengths and the measure of all the three angles is different.

Given that,

Star A is 13 light years (ly) from Star B. Star B is 35.2 ly from Star C, and Star C is 24.4 ly from Star A.

So the distance between each star has different values.

Thus side lengths of the triangle are different.

So it is scalene.

Obtuse triangles are those which has one of the angle greater than 90 degrees.

Given that

The angles between them are 14°, 139°, 27°.

139° > 90°, which is one of the angle.

So it is obtuse.

Hence Kaylee can make an obtuse scalene.

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Answer:

C

Step-by-step explanation:

x going to 4 is given by limx->4 and closer to 7 is given by =7

The correct statement is \(\lim_{x \to 4} f(x)\) = 7.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given statement:

x gets closer and closer to 4, the values of f(x) get closer and closer to 7.

So, x gets closer and closer to 4 shows

x-> 4

and,  f(x) get closer and closer to 7 shows

f(x)=7

Combining both we can write using the limit function x gets closer and closer to 4 require limit

\(\lim_{x \to 4} f(x)\) = 7.

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When the trinomial 3x² - x - 10  is factored completely, one of its factors is 3x+5.

Solving the given trinomial 3x² - x - 10.

=>3x² - 6x+5x - 10

=>3x(x-2)+5(x-2)

=>(3x+5)(x-2)

The two factors of the given trinomial 3x² - x - 10 is (3x+5) and (x-2), but according to the given options, the correct answer is option C - 3x+5.

Thus, When the trinomial 3x² - x - 10  is factored completely, one of its factors is 3x+5.

Complete question: 3x² - x - 10

When this trinomial is factored completely, one of its factors is

A) x + 2

B) x - 5

C) 3x + 5

D) 3x - 2

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Answer:

4 inches

Step-by-step explanation:

the middle number is 6 and the distance from 99.7 from the middle is 3 standard deviations. 12/3 =4

The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean. The correct option is e.

If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.

It is given that the heights of a large population of ostriches are normally distributed. The percentage of these heights is within 3 standard deviations of the mean.

As we know from the empirical rule:

It is the rule of 68-95-99.7.

From the data given in the question: The height of a large population of ostriches is normally distributed.

X ~ (u, б²)

Normal distribution.

P{u - 3б < X < u + 3б}

From the distribution table:

P{u - 3б < X < u + 3б} = 99.7%

Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.

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Answer:

The equation of a line that passes through the points(-4, 4) and (2, 12) will be:

Hence, option A is true.

Step-by-step explanation:

The slope-intercept form of the line equation

\(y = mx+b\)

where

Given the points

Finding the slope between (-4, 4) and (2, 12)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-4,\:4\right),\:\left(x_2,\:y_2\right)=\left(2,\:12\right)\)

\(m=\frac{12-4}{2-\left(-4\right)}\)

\(m=\frac{4}{3}\)

Thus, the slope of the line m = 4/3

substituting (-4, 4) and m = 4/3 in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

\(4=\frac{4}{3}\left(-4\right)+b\)

switch sides

\(\frac{4}{3}\left(-4\right)+b=4\)

\(-\frac{16}{3}+b=4\)

Add 16 to both sides

\(-\frac{16}{3}+b+\frac{16}{3}=4+\frac{16}{3}\)

\(b=\frac{28}{3}\)

Thus, the y-intercept b = 28/3

now substituting b = 28/3 and m = 4/3 in the slope-intercept form of the line equation

y = mx+b

y = 4/3x + 28/3

Therefore, the equation of a line that passes through the points(-4, 4) and (2, 12) will be:

Hence, option A is true.

The labor share can be defined as the share of total income or output that goes to labor. The correct answer is: b. B ˉ / (A ˉ k + B ˉ).

To determine the labor share in this production function, we need to find the proportion of total output (Y) that is attributed to labor (L).

Given the production function Y = A ˉ × K + B ˉ × L, we can rewrite it as Y = A ˉ × K + B ˉ × (L/L) = A ˉ × K + B ˉ × (L × (1/L)) = A ˉ × K + (B ˉ / L) × L.

Now, let's express the production function in terms of k = K/L:

Y = A ˉ × (k × L) + (B ˉ / L) × L = A ˉ k × L + B ˉ.

The labor share (L_share) can be calculated as the proportion of output attributed to labor, which is L_share = (A ˉ k × L) / Y.

Dividing both the numerator and denominator by L, we have:

L_share = (A ˉ k × L) / (A ˉ k × L + B ˉ).

Comparing this expression with the provided options, we can see that the correct answer is:

b. B ˉ / (A ˉ k + B ˉ).

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Answer:

2.726

Step-by-step explanation:

This question has a lot of answers because it doesn't specify a certain w or l.

11.6*9.4=109.04

109.04*.1/4=27.26

x*y=27.26

x*10=27.26

x=2.726

any two numbers could multiply to that number.

I just used 10 and got 2.726

Step-by-step explanation:

140/70=2 Therefore, 1 apple equals 2 percent

The remaining 30 percent times 2 equals 60

60 apples plus 140 apples equals 200 apples

Answer B

Answer:

200.

Step-by-step explanation:

70% is equivalent to 140

10 %  .............................. 140/7 = 20 apples

100% ................................. 10*20 = 200.

When Yolanda has chewed, moistened, and mixed the peanut butter and jelly sandwich bite with her saliva, it is called a "bolus".

Given that, Yolanda is eating a peanut butter and jelly sandwich for lunch. She has taken a bite of the sandwich and begun chewing the sticky sandwich. Once the bite of sandwich has been chewed, moistened, and mixed with saliva, it is called a bolus. A bolus is defined as a small rounded mass of a substance, especially of chewed food at the moment of swallowing. So, Yolanda's chewed and moistened peanut butter and jelly sandwich has now become a bolus in her mouth.When Yolanda has chewed, moistened, and mixed the peanut butter and jelly sandwich bite with her saliva, it is called a "bolus."

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In parametric models, "two-way association" refers to the relationship between two variables where each variable has an influence on the other. It implies that changes in one variable affect the other, and vice versa.

In parametric models, two-way association is characterized by a mutual dependency between the variables. This means that the values of both variables are determined by each other rather than being independent. The association can be described in terms of a mathematical equation or model that represents the relationship between the variables.

For example, in a regression model, if we have two variables X and Y, a two-way association implies that changes in X will cause corresponding changes in Y, and changes in Y will cause corresponding changes in X. This indicates a bidirectional relationship where both variables influence each other. Two-way associations are important in understanding and analyzing complex systems and can provide insights into causal relationships and interactions between variables.

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Answer:

decimal 0.42

percent 42%

The price of one candy box was $2.50 if the popcorn were of $3.20 and the total amount was $18.20.

The price of one candy box can be determined using an algebraic expression. An algebraic expression can be defined as one that consists of both numbers and letters.

As he ordered 6 boxes of candy and a bucket of popcorn and the popcorn was of $3.20 and the total was $18.20, an algebraic expression can be given as;

6(x) + 3.20 = 18.20

Here x is the price of one candy box

Solving for x;

6x = 18.20 - 3.20

6x = 15

x = 15 / 6

x = 2.50

Hence the price of one candy box is calculated to be $2.50.

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The probability of this event is 3/13. The event described is choosing a red card with an even number from a deck. To express this event as a set, we will include all even-numbered cards from the red suits (diamonds and hearts). This set is: {2♦, 4♦, 6♦, 8♦, 10♦, 2♥, 4♥, 6♥, 8♥, 10♥}.

Now let's find the probability of this event. There are 52 cards in the deck and 10 cards in the event set. Therefore, the probability is:

P(event) = (number of favorable outcomes) / (total number of outcomes) = 10 / 52 = 5 / 26 ≈ 0.1923

The probability of choosing a red card with an even number from a deck is approximately 0.1923 or 19.23%.

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Functions can be used to model real world situations.

(60,10) is a possible solution because the input and output are feasible.

From the question, we understand that:

\(x = 60\) --- i.e 60 people donated

\(f(x) = 10\) ---- i.e. 10 families received the clothes from the 60 people

This means that 10 families received at least 60 clothes from the 60 people that donated.

The above illustration can happen.

Hence, (60,10) is a possible solution.

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Answer:

1.5 grams

Step-by-step explanation:

This is because if there are five hours there will be 5 half lives due to it decaying 50% every hour. Therefore we would have to dived 48 by 2, 5 times or in other words 48÷\(2^{5}\) = 1.5

Simplify the expression 5(x-3)(x^2+4x+1)

it would be I think answer number 3

Answer:

37.50 per hour for 2 hours. 37.50 x 2 =7575 + 75 =150 it will cost $150. I hope this helps and is correct!!!

Answer:

first 2, second 4, third 3, and the last one 1

Answer:

43cm

Step-by-step explanation:

Given

Length of Log = 291cm

First Piece = 67cm

Second Piece = 181cm

Required

Determine the length of the third piece

Given that the log was cut into three;

this implies that;

Length of Log = First Piece + Second Piece + Third Piece

Substitute values for first piece, second piece and length of log;

\(291 = 67 + 181 + Third\ Piece\)

\(291 = 248 + Third\ Piece\)

Subtract both sides by 248

\(291 - 248 = 248 - 248 + Third\ Piece\)

\(43 = Third\ Piece\)

\(Third\ Piece = 43\)

Hence, the length of the third piece is 43cm

The given statement is True because If the sample mean is close to the population parameter, it suggests representative sampling regarding the variable of interest, although other factors should be considered too.

When the sample mean closely approximates the population parameter, it indicates that the sample is capturing the central tendency of the population. The mean is a measure of central tendency that reflects the average value of the variable of interest in the population.

If the sample mean is similar to the population mean, it suggests that the sample is a good representation of the population in terms of that particular variable.

However, it is important to note that representativeness is a relative concept. A sample may be considered representative in one sense but not necessarily in all aspects. Other factors, such as the sampling method, sample size, and sampling bias, also influence the representativeness of a sample.

In summary, when the obtained mean of the observations in a research study is close to the population parameter, it provides evidence that the sample is representative of the target population to some degree, indicating that the sample captures the central tendency of the population for the variable under investigation.

However, representativeness should be assessed in consideration of other factors as well.

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The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

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The percent change in the cookies sales from Tuesday to Wednesday equals -18.2%.

Number of cookies sold on Tuesday = 132

Number of cookies sold on Wednesday = 108

Percent change between Tuesday and Wednesday sales

= Difference between the two amounts divide by the original amount Tuesday sales and then multiply by 100 to express the change as a percentage.

The difference between the two amounts is,

= 108 - 132

= -24

Negative result because the Wednesday sales were less than Tuesday sales.

Percent change from Tuesday to Wednesday is

= (-24/132) x 100%

= -18.2%

Rounding to the nearest tenth of a percent, we get,

Percent change = -18.2%

Therefore, there was a 18.2 percent decrease in sales from Tuesday to Wednesday.

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Answer:

#nickels = 50

#dimes = 100

Step-by-step explanation:

system of equations:

n + d = 150

.05n + .10d = 12.50

let n = '150 - d' and substitute this into the second equation

.05(150-d) + .10d = 12.5

7.5 - .05d + .10d = 12.5

.05d = 5

d = 5/.05

d = 100

n = 50

The equation g(x) in vertex form of a  quadratic function for the transformations  whose graph is a  translation 4 units left and 1 unit up of the  graph of f(x) is (x-4)² + 1

Given a  quadratic function for the transformations given  the function f(x) = x²

If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value

Hence the equation g(x) in vertex form of a  quadratic function for the transformations  whose graph is a  translation 4 units left and 1 unit up of the  graph of f(x) is (x-4)² + 1

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