Find the difference and simplify the following
expressions.
(n – 8) – (2n + 2)

Answer:

i think its the 3rd option

Answer: on the bottom is (-6,5) and on the top is (1,7)

Step-by-step explanation:

Sum and difference identities are formulas in trigonometry that allow us to express the trigonometric functions of the sum or difference of two angles in terms of the trigonometric functions of the individual angles.

The sum identities are:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

tan(a + b) = (tan(a) + tan(b)) / (1 - tan(a)tan(b))

The difference identities are:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

cos(a - b) = cos(a)cos(b) + sin(a)sin(b)

tan(a - b) = (tan(a) - tan(b)) / (1 + tan(a)tan(b))

For example, if we want to find the value of sin(45 + 30), we can use the sum identity for sine:

sin(45 + 30) = sin(45)cos(30) + cos(45)sin(30)

We know that sin(45) and cos(30) are both equal to √2/2, and that cos(45) and sin(30) are both equal to 1/2, so we can substitute these values into the formula and simplify:

sin(45 + 30) = (√2/2) x (1/2) + (√2/2) x (1/2)

= (√2 + 1)/2

Therefore, sin(45 + 30) = (√2 + 1)/2.

To learn more about Sum and difference please click on below link    

https://brainly.com/question/29774937

#SPJ4

1) The probability that you and your friend both get lemon-lime drinks is approximately 0.3077.

2) The probability that the first coin you pick is a nickel and the second coin is a dime is 0.25.

1) In the cooler, there are a total of 14 bottles of sports drink: 8 lemon-lime flavored and 6 orange flavored. When you randomly grab a bottle for your friend and another one for yourself, you both end up with lemon-lime flavored drinks.

The probability of this happening can be calculated as the probability of picking a lemon-lime bottle for your friend and then, given that, picking another lemon-lime bottle for yourself:

P(both lemon-lime) = P(lemon-lime for friend) * P(lemon-lime for yourself)

= (8/14) * (7/13)

= 56/182

≈ 0.3077

2) Next, you randomly pick a coin from your pocket and place it on the counter. Then, you randomly pick another coin. The first coin is a nickel and the second coin is a dime. Since the coins are selected randomly, the probability of these specific outcomes can be calculated as the product of the individual probabilities:

P(nickel and dime) = P(nickel) * P(dime)

= (1/2) * (1/2)

= 1/4

= 0.25

Therefore, the probability that the first coin you picked is a nickel and the second coin is a dime is 0.25.

For more such questions on probability  visit:

https://brainly.com/question/24756209

#SPJ11

Predatory pricing. Predatory pricing occurs when a dominant firm intentionally sets its prices below the cost of production or below its competitors' prices in order to eliminate competition and deter new entrants into the market.

In this scenario, Firm A, the monopolist, engages in predatory pricing by reducing its prices in response to the entry of Firm B into the market. The aim is to make it financially difficult for Firm B to survive and eventually force it out of the market. By lowering its prices, Firm A hopes to attract customers away from Firm B and regain its monopoly power.

Predatory pricing is considered an anti-competitive practice and is often illegal in many jurisdictions. It can harm competition, limit consumer choice, and lead to higher prices in the long run. Regulatory bodies and competition authorities closely monitor such practices and may take legal action against firms found engaging in predatory pricing.

Overall, predatory pricing is a strategy employed by dominant firms to protect or strengthen their market position by driving out competitors. However, it is important for regulators to enforce antitrust laws to ensure fair competition and protect the interests of consumers and smaller market players.

Learn more about interests here: https://brainly.com/question/8100492

#SPJ11

To test if there is a difference between the means of the two populations, we can perform a two-sample t-test. The null hypothesis is that there is no difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

Let's assume that the researcher has collected the following data:

Sample of families with no children: n1 = 30, sample mean = 4.5 hours per week, sample standard deviation = 1.2 hours per week.

Sample of families with children: n2 = 40, sample mean = 3.8 hours per week, sample standard deviation = 1.5 hours per week.

Using the critical value method, we need to calculate the t-statistic and compare it to the critical value from the t-distribution table with n1+n2-2 degrees of freedom and a significance level of α = 0.05.

The formula for the t-statistic is:

t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2)

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Plugging in the numbers, we get:

t = (4.5 - 3.8) / sqrt((1.2^2/30) + (1.5^2/40)) = 2.08

The degrees of freedom for the t-distribution is df = n1 + n2 - 2 = 68.

Using a t-distribution table, we find the critical value for a two-tailed test with α = 0.05 and df = 68 is ±1.997.

Since our calculated t-statistic of 2.08 is greater than the critical value of 1.997, we can reject the null hypothesis and conclude that there is a statistically significant difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

Learn more about null hypothesis, here:

brainly.com/question/30404845

#SPJ11

Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To know more about theta visit:-

https://brainly.com/question/21807202

#SPJ11

Answer:

Yes, the ratio of friends who chose blue to the total asked is equivalent to the ratio of friends who chose green to the total asked.

Step-by-step explanation:

This can be determined as follows:

For Alex, we have:

Number of people who prefer blue = 4

The total asked = 6

Therefore, the ratio of friends who chose blue to the total asked can be calculated as follows:

Ratio of friends who chose blue to the total asked = Number of people who prefer blue / The total asked = 4 / 6 = 0.67

For Jordan, we have:

Number of people who prefer green = 8

The total asked = 12

Therefore, the ratio of friends who chose green to the total asked can be calculated as follows:

Ratio of friends who chose green to the total asked = Number of people who prefer green / The total asked = 8 / 12 = 0.67

Conclusion

From the calculations above, we have:

Ratio of friends who chose blue to the total asked = Ratio of friends who chose green to the total asked = 0.67

Since the ratio of friends who chose blue to the total asked is equal to the ratio of friends who chose green to the total asked is equal to 0.67, it therefore implies that the ratio of friends who chose blue to the total asked is equivalent to the ratio of friends who chose green to the total asked.

Answer:

Step-by-step explanation:

When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form \((x,y)\).

So, first, we need to plot 11 on the \(x\)-axis (the line going left to right, horizontal) then plot 7 on the \(y\)-axis (the vertical line)

So we first go 11 units to the right along the \(x\)-axis then go up 7 units along the \(y\)-axis.

Hope this helped.

Plot a point on a coordinate plane just remember that the coordinate given is of the form .  Follow this simple steps and the image given below.

For more details about graph plot click the link given below.

https://brainly.in/question/10164601

Answer:

Step-by-step explanation:

The transformations of interest are ...

  f(-x) . . . . reflects across the y-axis

  f(x -h) +k . . . . translates by (h, k)

__

The translation left 4 and up 7 is translation by (-4, 7), so the translated function is ...

  f(x +4) +7

Reflection over the y-axis replaces x with -x (and also reflects the left-translation). The reflected translated function is ...

  g(x) = f(-x +4) +7 = (-x +4)^2 +7 = x^2 -8x +16 +7

  g(x) = x^2 -8x +23

__

Translation right 4 and down 5 is translation by (4, -5), so the translated function is ...

  f(x -4) -5

Reflection over the y-axis replaces x with -x. The new equation is ...

  g(x) = f(-x -4) -5

  g(x) = √(-x -4) -5

The distance formula in mathematics establishes a right triangle with the given points defining the hypotenuse. This is the longest side of the triangle and it represents the direct distance between the two points.

The correct answer is D).

When using the distance formula in mathematics, you're indeed constructing a right triangle. However, the part of the triangle that goes between the two given points is not the angle, base, or leg of the triangle, but rather the hypotenuse. This is the longest side of the right triangle, lying opposite to the right angle, and it represents the direct distance between your two given points. For instance, if you have points A and B, draw a horizontal line from A to directly under B, then draw a vertical line from that point to B. These form two legs of your right triangle. The hypotenuse would be the line drawn directly from A to B.

https://brainly.com/question/11231122

#SPJ1

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

To learn more about t-distribution value

https://brainly.com/question/30701897

#SPJ4

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

To learn more about t-distribution value here:

brainly.com/question/30701897

#SPJ4

Answer:

1/3

Step-by-step explanation:

Pounds of cheese for 1 pizza=1/6

Pounds of cheese for 2 pizza

=2x pounds of cheese for 1 pizza

=2x(1/6)

=1/3.

Hope this will help:)

Answer:

Each goat gets 3 carrots and there are 4 extra carrots left

Step-by-step explanation:

5*3=15

OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.

5*3.8=19

Answer:

the answer is simple 3 remainder of 4

Step-by-step explanation:

so he had 5 goats and 19 carrots  

19/5=3.8 which mean 3 and 4  left

Answer:

D

Step-by-step explanation:

Because the x-coordinate of the vertex is negative, only A or D could be the correct equation for this parabola.  D is correct because its constant (4) matches the y-coordinate of the vertex (-5, 4).

Answer:

y = -(x + 5)2 + 4

Step-by-step explanation:

Answer:

6 miles bicycleriding per day

Step-by-step explanation:

5x+18=48

5x=48-18

5x=30

x=30/5

x=6

A linear relationship between two variables indicates a correlation, but correlation does not necessarily imply causation. There might be other factors affecting the relationship, or it could be a coincidence. To determine causation, further investigation and analysis would be needed.

Tue,  ,Just because there is a linear relationship between x and y, it implies that there is some degree of influence or effect of x on y.

                                          However, the strength and direction of this relationship may vary, and it is necessary to evaluate other factors such as confounding variables to establish causality. Therefore, it is important to examine the details of the relationship between x and y before making any conclusions.
                                    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 influenced by x" is true

                               A linear relationship between two variables indicates a correlation, but correlation does not necessarily imply causation. There might be other factors affecting the relationship, or it could be a coincidence. To determine causation, further investigation and analysis would be needed.

Learn more about linear relationship

brainly.com/question/15070768

#SPJ11

x=2 potato potato

\(￣︶￣*\))

Answer:

x = 2

Step-by-step explanation:

2x + 2 = 6

step 1 subtract 2 from each side

2 - 2 cancels out

6 - 2 = 4

now we have 2x = 4

step 2 divide each side by 2

2x / 2 = x

4 / 2 = 2

we're left with x = 2

Answer:

-21

the answer isss -21

Answer:

-6 p+4

-6+4

= -2

Step-by-step explanation:

Mark brainliest

p +4= -2

Like the given function is a linear equation with one variable (p). You can solve this equation replacing p for the informed value (-6).

Here it is important to remember the rules to addition of integers numbers:

+  +   Add  Final result (+)  

-   -          Add  Final result (-)  

+  -      Subtract  Final result (the sign of the integer having greater value )

-   +      Subtract  Final result (the sign of the integer having greater value )

If p=-6, then for p+4, you have:

-6+4=-2. The sign is negative because according to the rules to addition of integers numbers, you must use the sign from the larger number, in this case, -6.

Read more about rules for adding integers here:

https://brainly.com/question/18375556

Answer:

One Solution

Step-by-step explanation:

Calculating  9(w−9) −2 = −7 + 7(w−8)
is on paper is w = 10.

Hope this helps you! :))
Please let me know if its incorrect

Answer:

I only

Step-by-step explanation:

any point and its coordinates is an ordered pair of (x, y).

in other words, we get the x value used for the function and the resulting y value.

if the equation is true for such a pair, then the point is on the line. if it is false, then not.

y = (-5/4)x + 5

(4, 0)

0 = (-5/4)×4 + 5 = -5 + 5 = 0

true.

(0, 5)

5 = (-5/4)×0 + 5 = 0 + 5 = 5

true.

y + 5 = (-5/4)(x - 4)

(4, 0)

0 + 5 = (-5/4)(4 - 4)

5 = (-5/4)×0 = 0

false.

so, II is not containing (4, 0).

therefore, only I is contains both points.

The compound interest received by Matthew Westhoven is $51.80

The interest you earn on interest is known as compound interest. Simple math may be used to demonstrate this: if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You'll have $110.25 after the second year is over.

Given, the principal amount (P) = $925

Compound interest percentage (r) = 5.5% = 0.055

Time period (t) = 1

Since, it is semiannually compounded (n) = 2*t = 2

Amount (A) = P(1 + r/n)^nt

= 925(1 + 0.055/2)^2

= 925(1.0275)^2

= 925(1.056)

= 976.80

Thus, Interest amount (CI) = A - P

= $976.80 - $925

= $51.80

The compound interest received by Matthew Westhoven is $51.80

To know more about compound interest visit:

brainly.com/question/14295570

#SPJ1

The circumference of the circle after T seconds is given by 2πr₀ + 8πT.

The circumference of the circle created by the ripples or waves in Stillwater can be calculated using the formula C = 2πr, where C represents the circumference and r represents the radius of the circle.

In this case, the radius of each circular wave increases at a rate of 4 cm/s. To find the circumference after T seconds, we need to determine the value of the radius at that specific time.

Let's consider the initial radius of the circle as r₀. Since the radius increases at a rate of 4 cm/s, after T seconds, the radius will be r = r₀ + 4T.

Now, we can substitute the value of the radius into the formula for the circumference:

C = 2π(r₀ + 4T)

Simplifying this equation further, we get:

C = 2πr₀ + 8πT

So, the circumference of the circle after T seconds is given by 2πr₀ + 8πT.

It's important to note that the initial radius, r₀, is not provided in the question. Without that information, we cannot determine the exact circumference of the circle after T seconds.

For more such questions on circumference, click on:

https://brainly.com/question/27447563

#SPJ8

Answer:

Option C, 3x = 30

Step-by-step explanation:

Cuz both angles are vertical angels and therefore congruent to each other.

Hope this helps!

Answer:

x = -4

Step-by-step explanation:

Angles are congruent because they are corresponding

x + 90 = 86

x = -4

Answer:

B

Step-by-step explanation:

You can find the nth term of the arithmetic sequence calculator to find the common difference of the arithmetic sequence. The approach of those arithmetic calculator may differ along with their UI but the concepts and the formula remains the same. You need to find out the best arithmetic sequence solver having good speed and accurate results.

Answer:

iaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Given:

Value of an investment of $4000 at 11% compounded continuously for 5 years.

Required:

Find the accumulated value of an investment.

Explanation:

We know that

Where, P = Original principal sum

r = Nominal annual interest rate

t = length of time the interest is applied.

Now,

Answer:

Hence, option b is correct.

We can find the percentage of increase in the number of Magikarps that Jose captured in the lake by taking the initial number of them and subtracting it from the number that he had by the end of the day, like this:

16 - 8 = 8

Now, we just have to divide 8 by 16 and then multiply by 100, like this:

Then, his number of Magikarps increased a 50%

Answer:

12.5 pie , 39.25 using pie=3.14, and 39.28 to be exact

Step-by-step explanation:

BTW n=pie

10in= Diameter

5in=Radius

Area=n5^2

= 25n/2

=12.5n

12.5 times 3.14= 39.25

22/7 times 12.5= 39.2857143