Which of the following statements are equivalent to the statement "Every integer has an additive inverse" NOTE: (The additive inverse of a number x is the number that, when added to x, yields zero. Example: the additive inverse of 5 is -5, since 5+-5 = 0) Integers are{ ... -3, -2,-1,0, 1, 2, 3, ...} All integers have additive inverses. A. There exists a number x such that x is the additive inverse of all integers.B. All integers have additive inverses.C. If x is an integer, then x has an additive inverse.D. Given an integer x, there exists a y such that y is the additive inverse of x.E. If x has an additive inverse, then x is an integer.

Answer:

(36 × $7) - $15 = $252 - $15 = $237

Answer: We have f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16

                        (f-g)(x)= 3x⁵-2x⁴-x²+x-21

Step-by-step explanation:

Here we have,

Given : f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16

We know,

(f-g)(x)= f(x)-g(x)

= (3x⁵+6x²-5 ) - ( 2x⁴+7x²-x+16)

On subtracting g(x) from f(x) we get,

(f-g)(x)= (3x⁵+6x²-5  - 2x⁴-7x²+x-16)

On simplify,

 (f-g)(x) =3x⁵-2x⁴-x²+x-21

Hence,

(f-g)(x) = f(x) - g(x) = 3x⁵-2x⁴-x²+x-21

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Answer:

The answer is B)2

Step-by-step explanation:

As you can see, the length and height of the bigger rectangle is twice the length and height of the smaller rectangle.

Answer:

1 out of 6

Step-by-step explanation:

Each roll of the die is an independent event. This means that the second roll does not rely on the first roll. The probability of rolling a six is one out of six. The probability of rolling a two is also one out of six. Since the two events are independent of each other, you would take the average of the two probabilities, which since they are both one out of six, the probability of rolling a six and then a two is one out of six.

Answer:

Angle: 82.5°

Complement of the angle: 7.5°

Step-by-step explanation:

Set the complement of the angle as ∠x. The angle itself is 11 * m∠x.

Thus:

m∠x + 11 * m∠x = 90

12 * m∠x = 90

m∠x = 7.5°

So, the complement must be 7.5° and the angle itself must be 82.5°.

Answer:

Since this is a proportional relationship,

We know that the number which are proportional are a multiple of each other

the number which we can multiply one of the numbers to get the other number is the constant of proportionality

we could check for proportionality by using the following formula:

p1 / s1 = p2/s2 = p3/s3 = p4/s4  if they were equal, we can say that the relation is proportional

The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality

Therefore, the constant of proportionality = 20 / 5 = 4

Answer:

Since this is a proportional relationship,

We know that the number which are proportional are a multiple of each other

the number which we can multiply one of the numbers to get the other number is the constant of proportionality

we could check for proportionality by using the following formula:

p1 / s1 = p2/s2 = p3/s3 = p4/s4  if they were equal, we can say that the relation is proportional

The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality

Therefore, the constant of proportionality = 20 / 5 = 4

Answer:

is that a question?????????????

Answer:

27:18.

Step-by-step explanation:

27/9 = 3

18/9 = 2

Answer:

27:18

more equivalent ratios:

6 : 4

21 : 14

Answer:

5

Step-by-step explanation:

5555

Answer:

5c = 24.75

Step-by-step explanation:

5c = 24.75  If you divide both sides by 5, you will find out how much each movie cost.

\(\frac{5c}{5}\) = \(\frac{24.75}{5}\)

c = 4.95

Each movie cost $4.95 to rent.

Answer:

Confidence Interval = (1.41, 1.59)

Step-by-step explanation:

To construct a confidence interval for the population mean, we can use the following formula:

Confidence Interval = sample mean ± (margin of error * standard error)

where the standard error is equal to the standard deviation divided by the square root of the sample size.

Given the information provided, we can calculate the standard error as:

standard error = 2.16 / sqrt(1370) = 0.058

Then, we can calculate the margin of error as 0.12.

Substituting these values into the formula, we get:

Confidence Interval = 1.5 ± (0.12 * 0.058)

Confidence Interval = (1.41, 1.59)

Therefore, we can interpret the 95% confidence interval as follows: we are 95% confident that the true population mean of the number of days that people feel lonely in the past 7 days is between 1.41 and 1.59. This means that if we were to take many samples of 1370 subjects and compute the confidence intervals for each sample using the same method, we would expect about 95% of the intervals to contain the true population mean.

Answer:

x = 5 + 1.2y

Step-by-step explanation:

i think this is it

Answer:

Your answer

56100 per person

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

Answer: y= -5x - 6

Step-by-step explanation:

One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

Digital Construction is known to be a term that connote  the act of using digital technologies to be able to make construction to be more better and  with higher quality.

Note that  a lot of the new technologies have been seen to have proven themselves and gives  a lot of opportunities for the construction,

In the use of the digital tools, one can Construct a line or a line segment and then uses the move tool to drag some points around, and then watch to see what happens.

Therefore,  One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

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Answer:

4 12/25

Step-by-step explanation:

4.48 can be written as 4 48/100

Simplify

4 24/50

Simplify some more.

4 12/25

Hope this helped :)

The trigonometric expression (sec x - csc x) / (1 - tan x) is equivalent by trigonometric formulas and algebra properties to - sin x.

Herein we find a trigonometric expression that must be rewritten in terms of sin x by means of trigonometric formulas and algebra properties. The original expression is shown below:

(sec x - csc x) / (1 - tan x)

First, the original expression is written:

(sec x - csc x) / (1 - tan x)

Second, use the definitions of secant, cosecant and tangent:

[(1 / cos x) - (1 / sin x)] / [1 - (sin x / cos x)]

Third, use algebraic properties to simplify the expression:

[(sin x - cos x) / (sin x · cos x)] / [(cos x - sin x) / cos x]

[(sin x - cos x) · cos x] / [sin x · cos x · (cos x - sin x)]

- sin x

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The conclusion that the herds are not statistically different is false.

The correct option is B.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

You conducted a t-test to determine whether two herds of elk have statistically different migration dates.

The resulting p-value was .03.

Here, the p-value is less than 0.05.

That means,

the p-value is statistically significant.

And there is a 3% chance that the null hypothesis should be rejected.

Your conclusion is that the herds are not statistically different.

Therefore, your conclusion is incorrect.

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Answer:

Since the transformation is made by shifting the function right, it is a horizontal transformation.

Answer:

the third one will be it

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

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Answer:

may not be exact

1- surveying every fifth student who walks in

2-randomly selected people of both genders

3-asking 8 random students from each second period

4-asking 4 girls and 4 boys from each~~

5-randomly choosing a page and counting the words

Step-by-step explanation:

1-explanation; the first one is skewed two 7th graders, the third one is skewed to volleyball players, the fourth one is skewed to eight graders

it's interpreted as 28 - 21 = 7

Check the picture below.

Answer:

Graph A

Step-by-step explanation:

We can plug the function into a graphing calculator and check to see which graph matches up.

Answer:

\(a_{20} = 1/1048576\)

Step-by-step explanation:

Given

\(Sequence: -1/2;1/4;-1/8;1/16\)

Required

Determine \(a_{20\)

Since it is a geometric sequence, first we need to calculate the common ratio (r)

\(r = \frac{a_2}{a_1}\)

From the sequence:

\(a_2 = 1/4\)

\(a_1 = -1/2\)

\(a_1\) is the same as \(a\)

So:

\(r = \frac{a_2}{a_1}\)

\(r = \frac{1/4}{-1/2}\)

\(r = -1/2\)

\(a_{20\) is then calculated as:

\(a_n = ar^{n-1}\)

Where

\(n = 20\)

\(a_{20} = ar^{20-1}\)

\(a_{20} = ar^{19}\)

\(a_{20} = (-1/2) * (-1/2)^{19}\)

Apply law of indices

\(a_{20} = (-1/2)^{1+19}\)

\(a_{20} = (-1/2)^{20}\)

Evaluate the exponent

\(a_{20} = 1/1048576\)

Answer:

\(y - 5x = 4\)

Step-by-step explanation:

\(y = 5x + 9 \\ m1 = 5 \\ since \: the \: line \: is \: parallel \: m1 = m2 \\ y - y1 = m(x - x1) \\ y - ( - 3) = 5(x - ( - 2)) \\ y + 4 = 5(x + 2) \\ y + 4 = 5x + 10 \\ y - 5x = 10 - 6 \\ y - 5x = 4\)

Answer:

December at -10

Step-by-step explanation:

first you rule out all positive numbers

then you finder the biggest number with a negative side and that is you lowest temperature