what is the average of 2,4,6,8
the answer plus 2​

Answer:

3240°

Explanation:

The formula for calculating the sum of the interior angles of a polygon is (n-2)x180 where n refers to the number of sides. Because we know that the polygon has 20 sides, the equation would be (20-2)x180. The answer would be 3240°.

To calculate the number of divisors by the prime factors, one has to take all the exponents in the factorization.

It should be noted that a prime factor simply means the prime numbers that are multiplied to get a number.

In order to calculate the number of divisors by the prime factors, one has to take all the exponents in the factorization, add one to each and then multiply the exponents.

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Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

Answer:

Add 1 unit to the X coordinates and Y coordinates for each new pair.

step-by-step explanation:

X: 10 + 1 = 11 + 1 = 12

Y: 20 + 1 = 21 + 1 = 22

The correct weekly profit of company B as represented by quadratic  inequality is as below:

y≤−50x2+19950x+20,000 y less than or equal to negative 50 x squared plus 19950 x plus 20,000

What is the initial weekly profit?

The initial weekly profit is determined as the initial price of $10 multiplied by 2,000 units sold in one week.

However, a change in price by $5, I mean an increase of $5 means that the quantity sold falls from 2,000 units to 1,990 units, however, it is evident that volume falls but the profit would increase the increase in profit by $5 on 1,990 units is more than the decrease in sales revenue by 10 units, hence, the equation should have an equal to sign and less than not just less than.

Profit after decrease of 10 units=1990*($10+$5)

Profit after decrease of 10 units=$19,950(the option that $19,950 and > or = signs is correct)

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Answer:

i dont even have the first one on my computer

Step-by-step explanation:

Therefore, there are approximately 1,830,652,240,494,424 ways for Patricia to choose 44 pizza toppings from a menu of 55 toppings if each topping can only be chosen once.

To calculate the number of ways Patricia can choose 44 pizza toppings from a menu of 55 toppings, we can use the concept of combinations.

In this case, we want to determine the number of combinations of 44 toppings chosen from a total of 55 toppings, where each topping can only be chosen once.

The formula to calculate combinations is given by:

C(n, k) = n! / (k!(n-k)!)

Where n represents the total number of items and k represents the number of items being chosen.

Using this formula, the number of ways Patricia can choose 44 pizza toppings from 55 toppings is:

C(55, 44) = 55! / (44!(55-44)!)

= 55! / (44! * 11!)

Calculating this value would result in a large number. However, using a calculator or a mathematical software, you can find that:

C(55, 44) is approximately equal to \(1.830652 x 10^{15\), or 1,830,652,240,494,424.

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Answer:

0.04%

Step-by-step explanation:

According to the conversation we can infer that the information focused on the conversation of two people; one of them is studing for an exam.

To identify what is the conversation about we have to consider who is talking and what are the ideas that they share. In this case, we can infer that the main idea of this conversation is that one of them is studying for an exam this week.

Also, the second person is apologizing because he considered that he is distracting the other person. So, the correc information about de conversation is a short conversation about study.

Note: This question is incomplete. Here is the complete information:

Conversation:
Hello

Hello, How are you?

I am fine, and you?

i am fine too, What are you doing?

I am studing for an exam this week.

Oh, sorry I won´t distract you.

Don´t worry.

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Answer:

2 pints

Step-by-step explanation:

if you add all of it up you get 2 pints.

1/4*8 = 2 pints

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.

The American Institute of CPAs would like to update the study.

They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.

Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.

The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²

Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

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The image curves of the paths c(t) and d(s) are the same, as for each value of t there is a unique corresponding value of s = a(t) such that c(t) = d(s). The paths c(t) and d(s) have the same arc length, as the change of variable from t to s preserves the arc length of the curve.

(a) To argue that the image curves of c and d are the same, we need to show that for each t in [a, b], the point c(t) is also represented by the point d(s) for the corresponding value of s = a(t).

Since a is strictly increasing and continuously differentiable, it has an inverse function a^(-1), which is also strictly increasing and continuously differentiable.

Thus, for every t in [a, b], we can find a unique s = a(t) such that a^(-1)(s) = t. Therefore, c(t) = c(a^(-1)(s)) = d(s), which implies that the image curves of c and d are the same.

(b) To show that c and d have the same arc length, we can consider the parameterization of the path c(t) as t varies from a to b. The arc length of c(t) is given by the integral:

L_c = ∫[a,b] ||c'(t)|| dt

Using the change of variable t = a^(-1)(s), we can rewrite the integral in terms of s as:

L_c = ∫[a(a),a(b)] ||c'(a^(-1)(s)) * (a^(-1))'(s)|| ds

Since a is continuously differentiable, (a^(-1))'(s) ≠ 0 for all s in [a(a),a(b)]. Therefore, the factor ||c'(a^(-1)(s)) * (a^(-1))'(s)|| does not change sign on [a(a),a(b)]. Consequently, the integral L_c remains the same when expressed in terms of s. This implies that c and d have the same arc length.

(c) We have that s = a(t) = ∫[a,t] ||a'(u)|| du, we can differentiate both sides of the equation with respect to s:

1 = d/ds (s) = d/ds (∫[a,t] ||a'(u)|| du)

Applying the Fundamental Theorem of Calculus, we obtain:

1 = ||a'(t)||

Now, let d(s) = c(t), where t is determined by s = a(t). Using the chain rule, we can express the derivative of d(s) with respect to s as:

d/ds (d(s)) = d/ds (c(t)) = c'(t) * dt/ds = c'(t) / a'(t)

By the definition of arc length, we know that ||c'(t)|| = 1. Combining this with the earlier result ||a'(t)|| = 1, we have ||c'(t)|| / ||a'(t)|| = 1. Hence, we get:

d/ds (d(s)) = c'(t) / a'(t) = 1

Therefore, |d(s)| = 1, which shows that the path sd(s) is an arc-length reparametrization of c.

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Answer: 80

Step-by-step explanation: established

You are exactly halfway to the top of the ferris wheel at 72 seconds, and you are 28 feet above the ground at that point.

1. Calculate the circumference of the ferris wheel:

  Circumference = π * diameter

  Circumference = π * 60 ft ≈ 188.5 ft

2. Determine the time it takes for the ferris wheel to make half a rotation:

  Half rotation time = 48 seconds / 2 = 24 seconds

3. Calculate the distance traveled by the ferris wheel in 24 seconds:

  Distance = (Circumference / time) * distance traveled in 24 seconds

  Distance = (188.5 ft / 48 s) * 24 s ≈ 94.25 ft

4. Find the height at which you are halfway to the top of the ferris wheel:

  Height halfway = distance traveled - height from the ground

  Height halfway = 94.25 ft - 8 ft = 86.25 ft

5. Determine the time it takes for you to reach the halfway point:

  Time to halfway = 24 seconds + 48 seconds = 72 seconds

6. Calculate the height at the halfway point:

  Height at halfway = Height halfway + height from the ground

  Height at halfway = 86.25 ft + 8 ft = 94.25 ft

Therefore, you are exactly halfway to the top of the ferris wheel at 72 seconds, and you are 94.25 ft above the ground at that point.

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Step-by-step explanation:

as we have a point and the slope, we can start with the point-slope form and then transform.

the point-slope form is

y - y1 = a(x - x1)

(x1, y1) being a point on the line, a being the slope.

the slope-interceot form is

y = ax + b

a being the slope again, b being the y-intercept (the y value for x = 0).

so, we have

y - -5 = 5/2 × (x - -4)

y + 5 = 5/2 × (x + 4) = 5x/2 + 5×4/2 = 5x/2 + 10

y = 5x/2 + 5

or

y = (5/2)x + 5

and this is already the slope-intercept form. all done.

Answer:

$32

Step-by-step explanation:

If the video game is 40 dollars, then we divide that by 5, since 20*5 makes 100%. 40/5=8 so then we subtract 8 from the original 40 since it's 20% off.

The circumference of the circle in terms of π whose radius is given would be = 63π. That is option D.

To calculate the circumference of a circle, the formula that should be used would be given below.

That is;

circumference of circle= 2πr

The radius = 31½

circumference = 2×π × 31½

= 2×π× 63/2

= 63π

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Applying L'Hôpital's rule: lim x→4 (x^2 - 3x - 4)/(x - 4), the limit is 5. Applying L'Hôpital's rule: lim x→∞ (x^2 + 4)/(x^3 - 16),  the limit is 0. Using L'Hôpital's rule: lim x→1 (ln(x^3))/(x - 1), the limit is undefined since it results in an indeterminate form. Applying L'Hôpital's rule: lim x→0 (e^x - 1)/(3x), the limit is 1/3.

(a) To find the limit, we apply L'Hôpital's rule: lim x→4 \((x^2 - 3x - 4)/(x - 4)\)\((x^2 - 3x - 4)/(x - 4)\)

Taking the derivative of the numerator and denominator separately:

lim x→4 (2x - 3)/(1) = (2(4) - 3)/(1) = (8 - 3)/(1) = 5/1 = 5

Therefore, the limit is 5.

(b) Applying L'Hôpital's rule: lim x→∞ \((x^2 + 4)/(x^3 - 16)\)

Taking the derivatives: lim x→∞ \((2x)/(3x^2) = 2/3x\)

As x approaches infinity, the denominator grows faster than the numerator, resulting in the limit approaching zero.

Therefore, the limit is 0.

(c) Using L'Hôpital's rule: lim x→1 (ln(x^3))/(x - 1)

Taking the derivative: lim x→1 (3x^2)/(x - 1)

Plugging in x = 1: lim x→1 (3(1)^2)/(1 - 1) = 3/0 (undefined)

The limit is undefined since it results in an indeterminate form.

(d) Applying L'Hôpital's rule: lim x→0 (e^x - 1)/(3x)

Taking the derivative: lim x→0 (e^x)/(3) = 1/3

Therefore, the limit is 1/3.

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9514 1404 393

Answer:

  J Compound interest; $298.65

Step-by-step explanation:

Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.

For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...

  1.051^4 = 1.22024337

and the effective multiplier for simple interest is ...

  1 +0.051·4 = 1.204

Then the difference in interest rate multiplier for the 4-year period is ...

  1.22024337 -1.204 = 0.01614337

That fraction of the $18500 principal is $298.65.

Compound interest earns $298.65 more than simple interest in this scenario.

Answer:

1250

Step-by-step explanation:

Answer:

  k = (p -2)/5

Step-by-step explanation:

You want to make k the subject of the formula p = 5k +2.

The operations done to k are ...

To solve for k, we undo these operations in reverse order.

Subtract 2 to undo the addition.

  p = 5k +2 . . . . . . . . . . given

  p -2 = 5k +2 -2 . . . . . . subtract 2 from both sides

  p -2 = 5k . . . . . . . . . simplify

Divide by 5 to undo the multiplication.

  (p -2)/5 = (5k)/5 . . . . . divide both sides by 2

  (p -2)/5 = k . . . . . . . . simplify

Writing this with k as the subject, we have ...

  k = (p -2)/5

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Answer:

x=39

Step-by-step explanation:

180-102=78

78/2=39

Answer:

x=39

Step-by-step explanation:

180-2x=102

-2x=-78

x=39

answer is here :)

please check :)

∛

Answer:

89,470

Step-by-step explanation:

(a) The expression for the image distance, di, for a concave mirror can be found using the mirror equation:

1/do + 1/di = 1/f

where do is the object distance, f is the focal length, and di is the image distance.

To find f, we can use the formula:

f = r/2

where r is the radius of curvature.

Substituting the given values, we get:

f = 19.1/2 = 9.55 cm
do = 5.7 cm

Now, we can solve for di:

1/5.7 + 1/di = 1/9.55

1/di = 1/9.55 - 1/5.7

di = -16.13 cm

Note: the negative sign for di indicates that the image is virtual and upright.

(b) Numerically, the image distance, di, is -16.13 cm.

(c) This is a virtual image.

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Answer:

12.5

Step-by-step explanation:

Answer:

.125

Step-by-step explanation:

divide 1 by 8

or  divide 1 by 4 then divide by 2

The equation "theta=pi/4" does not define a surface.

The variable theta typically represents the polar angle in spherical or cylindrical coordinates and does not uniquely determine a surface.

To define a surface, additional equations or constraints are needed, such as equations involving the radial distance and/or the azimuthal angle.

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Answer:

Multiply the numerator by the reciprocal of the denominator to get 650 x 2 divided by 3. Then, multiple 650 and 2 which is 1300, then it is 1300 over 3, or 433.3, and it is repeating.

Step-by-step explanation:

By the concept of division by a fraction, 650 divided by 3/2 will result in \(433 \frac{1}{3}\).

We have to solve 650 divided by 3/2.

Mathematically, it can be expressed as:

650 ÷ \(\frac{3}{2}\)   -----(1)

To solve the above expression, at first we can apply the concept of dividing by a fraction. Which say that:

dividing by a fraction =  multiplying by the reciprocal of the fraction

And the reciprocal of any fraction is simply the ratio of denominator and numerator.

So, the reciprocal of  \(\frac{3}{2}\)  is \(\frac{2}{3}\) .

Then, expression (1) will be equivalent to

\(650 \div \frac{3}{2} = 650 \times \frac{2}{3}\)  ------(2)

That means we have to multiply 650 and fraction 2/3.

To get the multiplication of two fractions, we multiply the numerators together and the denominators together.

\(650 \times \frac{2}{3} = \frac{650\times 2}{3}\)

\(650 \times \frac{2}{3} = \frac{1300}{3}\)

\(650 \times \frac{2}{3} = \frac{1300}{3}\)

\(650 \times \frac{2}{3} = 433 \frac{1}{3}\)

Thus, from equation (2)  

\(650 \div \frac{3}{2} = 433 \frac{1}{3}\)

Hence, 650 divided by 3/2 is:

\(650 \div \frac{3}{2} = 433 \frac{1}{3}\)

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