HEEEEELLLLLLPPPPPPP!!!!!!!!!!!!!!
Find the area and perimeter.

20x2 − 12x; 10x − 5
12x2 − 20x; 7x − 5
7x2 − 5; 11x − 10
12x2 − 20x; 14x − 10

Answer:

dividend is 30

divisor is 6

Step-by-step explanation:

Given, there are hotdogs and sodas as items. Each hotdog costs twice the cost of soda.

Let's assume the cost of soda is x dollars. Then, the cost of a hotdog would be 2x dollars. Then, h hotdogs cost 2xh dollars, and simultaneously, s sodas cost xs dollars.

Given, the vendor takes a total of d dollars, then

d = 2xh + xs

Therefore, if the price of a soda is x dollars, then

x = \(\frac{d}{2h + s}\) dollars

And also, since 1 dollar is 100 cents, therefore, 1 cent would be 0.01 dollars.

So finally, x, the price of a soda in cents would be

x = \(100(\frac{d}{2h+s})\) cents

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Answer:

13.5

Step-by-step explanation:

213.21/15.8 --->  ((213.21)100)/((15.8)100)

21321/1580 = 13 R 781.

781/1580 = 0.49~~~

We only need to be concerned about the tenth and hundredth place digits.

The decimal tells us that it rounds up from 4, so it's 5.

Thus, the answers 13+0.5, which is 13.5

Answer:

41 games ( Brianna Has)

Geo has 82 because 25x25 equals 75 and 75+7 equals 82.

Answer:

Brianna Has  41 games  

Step-by-step explanation:

The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.

A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.

The formula for calculating the confidence interval for the population mean is:

Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)

Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.

Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.

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Answer:

Last Option: y=2x-2

Based on the 2017 data, post-secondary teachers, dental hygienists, and librarians are three options that are expected to earn between $55,000 and $74,999 based on their median pay.

The median pay is the midpoint of a set of salaries, where half of the workers earn less and half earn more. In this case, the link provided takes us to the 2017 median pay column for various occupations.

After reviewing the data, it appears that post-secondary teachers, dental hygienists, and librarians are expected to earn between $55,000 and $74,999 based on their median pay. The median pay for post-secondary teachers is $76,000, while the median pay for dental hygienists is $74,070. Lastly, the median pay for librarians is $59,050.

It's important to note that the median pay for carpenters, firefighters, and childcare workers are below $55,000. This means that half of the workers in these occupations earn less than $55,000 per year.

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The answer is A. True. When working with big data, the sample size is so large that the variability in the data almost completely disappears.

Variability is the degree of difference between values in a set of data. It is a measure of how spread out the values are from the mean or average of the set.

When dealing with smaller datasets, there is typically more variability. This is because a smaller sample size does not represent the entire population of data, and therefore does not provide an accurate representation of the underlying population of data. This variability can make it more difficult to draw valid conclusions from the data.

However, when working with a large sample size, the variability virtually disappears. This is because the data is spread across so many data points that the differences between individual data points become negligible. The result is that the data becomes more consistent and easier to analyze.

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Answer:

19.3 years

Step-by-step explanation:

Given that the initial mass of a sample of Element X is 100 grams,

The formula is given as:

N(t) = No × (1/2) ^t/t½

Element X is a radioactive isotope such that every 30 years, its mass decreases by half.

N(t) = Mass after time (t)

No = Initial mass = 100 grams

t½ = Half life = 30 grams

N(t) = 100 × (1/2) ^t/30

How long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?

This means we are to find the time

N(t) = 100 × (1/2) ^t/30

N(t) = 64 grams

64 = 100(1/2)^t/30

Divide both sides by 100

64/100 = 100(1/2)^t/30/100

0.64 = (1/2)^t/30

Take the Log of both sides

log 0.64 = log (1/2)^t/30

log 0.64 = t/30(1/2)

t = 19.315685693242 years

Approximately = 19.3 years

Answer:

To solve this problem, we need to calculate the change in temperature between noon and 3:30 p.m. and then divide that by the number of hours between noon and 3:30 p.m.

Let's say the temperature at noon was 70 degrees F and the temperature at 3:30 p.m. was 75 degrees F.

The change in temperature between noon and 3:30 p.m. is 75 - 70 = 5 degrees F.

The number of hours between noon and 3:30 p.m. is 3.5 hours.

Therefore, the rate of change in temperature between noon and 3:30 p.m. is 5 degrees F / 3.5 hours = 1.43 degrees F per hour.

Based on the commission percentage that William makes when he sells goods at the electronics store, the amount that William made in commission from the computer is $ 45. 84.

How to find the money made from commission?

Commission made on goods and services are a percentage that is paid to sales people when they make a certain number of sales. The commission is based on the amount that the good or service in question is sold for.

The commission to William here can be found by the formula:

= Percentage made for commission on everything sold x Amount that the computer sold for

Solving for the commission to William gives:

= 6 % x 764

= 0. 06 x 764

= $ 45.84

In conclusion, the commission that William made from the sale of the computer which was valued at $ 764 is $ 45.84.

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The correct option for this question is c) approximately 68% of the students spent between $200 and $400.


Step 1: Identify the given information. The mean is $300, and the standard deviation is $50. The range is between $200 and $400.

Step 2: Calculate the number of standard deviations between the mean and each boundary. For $200, it's ($200 - $300) / $50 = -2 standard deviations. For $400, it's ($400 - $300) / $50 = 2 standard deviations.

Step 3: Since we don't have information about the shape of the distribution, we will use the Empirical Rule, which states that for a normal distribution, approximately 68% of the data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations of the mean.

Step 4: In this case, we are looking at 2 standard deviations from the mean (between $200 and $400). According to the Empirical Rule, approximately 95% of the data falls within this range. However, since we don't know the exact shape of the distribution, we can't say for certain that 95% of the students spent between $200 and $400. However, we do know that at least 68% of the students would fall within 1 standard deviation of the mean. Thus, we can conclude that approximately 68% of the students spent between $200 and $400.

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Answer: The major axis is the line segment that passes through the foci of the ellipse. The endpoints of this axis are called the vertices of the ellipse. The segment passing through the center and perpendicular to the major axis is called the minor axis.

Answer: <1 = 26°

Step-by-step explanation:

given that:

• <ABD = 66°

• <2 = 14° + <1 (since ''more than' means we add)

• Find <1

Since it is obvious that <ABD is a sum of <1 and <2:

⇒ <ABD = <1 + <2

now we know that <2 is 14° more than <1 and that <ABD = 66°

⇒ 66° = <1 + (14° + <1)

⇒ 66° = <1 + 14° + <1

⇒ <1 = (66° - 14°) ÷ 2

⇒ <1 = 26° ...Answer...

hope that helps...

To evaluate the given integral using cylindrical coordinates, first express the limits of integration and the differential volume element in terms of cylindrical coordinates. Therefore, the value of the given triple integral is 2π w [ln(1 + √2) - 1/2].

In cylindrical coordinates, we have:

x = r cos(θ)

y = r sin(θ)

z = z

Also, the differential volume element in cylindrical coordinates is given by:

dV = r dz dr dθ

Now, we need to express the limits of integration in terms of cylindrical coordinates.

From the condition x^2 y^2 z^2 ≤ 1, we have:

r^2 z^2 ≤ 1

Since 1/4 ≤ z ≤ 1, we can write the limits of integration as:

1/2π ≤ θ ≤ 2π

1/2 ≤ r ≤ 1

1/√(r^2) ≤ z ≤ 1

(Note that the lower limit for z is obtained from the condition r^2 z^2 ≤ 1, which implies z ≥ 1/√(r^2). Since we also have 1/4 ≤ z, we take the larger value of the two.)

Now we can evaluate the integral:

∫∫∫ w (x^2 + y^2 + z^2)^(-1/2) dx dy dz

= ∫∫∫ w r (r^2 + z^2)^(-1/2) r dz dr dtheta (substituting x = r cos(θ) and y = r sin( θ))

= ∫[1/2,1] ∫[0,2π] ∫[1/√(r^2),1] w r (r^2 + z^2)^(-1/2) dz dr dθ

= 2π ∫[1/2,1] ∫[1/√(r^2),1] w r (r^2 + z^2)^(-1/2) dz dr

= 2π ∫[1/2,1] [(-w/r) (r^2 + z^2)^(1/2)]|[1/√(r^2),1] dr

= 2π ∫[1/2,1] (-w/r) [(r^2 + 1)^(1/2) - r] dr

= 2π w [ln(1 + √2) - 1/2]

Therefore, the value of the given integral is 2π w [ln(1 + √2) - 1/2].

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a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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The set of parametric equations for the rectangular equation y = 3x - 9, with t = 0 at the point (4, 3), is y = 3t + 3.

To find a set of parametric equations that satisfy the given condition y = 3x - 9, t = 0 at the point (4, 3), we can express the rectangular equation in parametric form using a parameter, typically denoted by t.

Let's begin by introducing the parameter t and assigning initial values for x and y at t = 0. From the given condition, we have x = 4 and y = 3 when t = 0.

Now, we can express x and y in terms of t and write the parametric equations:

x = f(t)

y = g(t)

To find the expressions for f(t) and g(t), let's analyze the relationship between x and y in the rectangular equation y = 3x - 9.

From the equation, we can rearrange it to solve for x:

x = (y + 9) / 3

Now, we have an expression for x in terms of y. However, we want to express x and y in terms of the parameter t. To do this, we substitute y in terms of t into the expression for x:

x = ((g(t) + 9) / 3)

Therefore, we have the parametric equation:

x = ((g(t) + 9) / 3)

Next, we need to determine the expression for g(t). To find g(t), we observe that when t = 0, y = 3. This means that g(0) = 3. Since the slope of the equation y = 3x - 9 is 3, we can express g(t) as:

g(t) = 3t + 3

Substituting this expression for g(t) into the equation for x, we get:

x = ((3t + 3 + 9) / 3)

x = (3t + 12) / 3

x = t + 4

Therefore, the set of parametric equations for the rectangular equation y = 3x - 9, with t = 0 at the point (4, 3), is:

x = t + 4

y = 3t + 3

These parametric equations represent the relationship between x and y in terms of the parameter t. As t varies, the point (x, y) traces out a curve on the Cartesian plane. In this case, the curve is a straight line with a slope of 3 and passing through the point (4, 3). As t increases or decreases, the point moves along this line, resulting in a linear relationship between x and y.

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Answer:

x= -2

Step-by-step explanation:

5x+1/3=1/3x-9

-1/3x.      -1/3x

4 2/3x+1/3= -9

           -1/3.  -1/3

4 2/3x= -9 1/3

14/3x= -28/3

/14/3.    /14/3

x= -28/3*3/14

x= -84/42

x= -2

hopes this helps please mark brainliest

Answer:

x = -2

Step-by-step explanation:

5x + 1/3 = 1/3x - 9

5x - 1/3x + 1/3 = -9

5x * 3                           15x

       --               >           --              (remember -> 5x is the same as 5/1x)

       3                            3

15x/3 - 1/3x + 1/3 = -9

14x/3 + 1/3 = -9

14x+1/3       = -9              (14x + 1 is ALL over 3)

Now multiply by 3 on both sides to cancel out the denominator since 3 is the denominator.

14x + 1 = -27

14x = -28

(divide by 14 to both sides)

x = -2

The world leader who witnessed a peaceful transition from communism to democracy in the second half of the twentieth century was Mikhail Gorbachev, the last General Secretary of the Soviet Union.

Mikhail Gorbachev, the leader of the Soviet Union from 1985 to 1991, played a pivotal role in overseeing the peaceful transition from communism to democracy. His policies of glasnost (openness) and perestroika (restructuring) aimed to bring political and economic reforms to the Soviet Union. Gorbachev's willingness to engage in diplomatic negotiations with the United States and other Western powers led to improved relations and reduced tensions between the East and the West.

By 1991, the Soviet Union itself dissolved, marking the end of its communist regime and the emergence of democratic states in its place. Gorbachev's leadership during this period earned him recognition as a world leader who witnessed and supported a peaceful transition from communism to democracy.

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Answer: the answer is 2x2 - x -6

Step-by-step explanation: I searched it

The value of the given expression will be 3√5.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression c² = 45 will be solved as below:-

c² = 45

Take the square root of the number 45.

c = √45

c = √ 9 x √5

c = 3√5

Therefore, the value of the given expression will be 3√5.

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The given points are T(3,1) and U(5,3)

The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.

The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.

The midpoint is (4,2)

Effectively, we just used the midpoint formula

\((x_m, y_m) = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)\)

In short: add the corresponding coordinates, then divide by 2.

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following information.

We can calculate the adjacent leg by means of Pythagoras' theorem, just like this:

We determine that the angle is in the third quadrant

Answer:

5 years

Step-by-step explanation:

Interest earned ($) = Principal (amount $ invested) x Interest Rate (as a %) x Time (in years)

500 = 2500(.04)(t)

500 = 100t

t = 5 years

Answer:

Y = 18

X = 9

Step-by-step explanation:

all the steps are in the picture. comment if you have any doubts.

Answer:

There are 629 students at the college

There are 91 staff members at the college

Step-by-step explanation:

To solve this problem, you would need to find the ratio, which is already given in this problem. Divide 740 by 20 and the answer is 37. Now that you have 37, multiply it by 17 to get the total number of students in the college.

37*17=629 students. Then subtract 740-629=91

So there are 629 students

And 91 staff members.

Answer:

i got 10 in the end 10000 is a power of 10 so the lowest answer is 10

Step-by-step explanation:

Answer: \(y-2=3(x-4)\\y=3x-12+2\\-3x+y=-10\\3x-y=10\)

Step-by-step explanation:

I showed the steps to find the equation. In case you need to know, I used point-slope form, which involves using the formula y-y1=m(x-x1), in which you use a point like (4,2) and the slope, which we know is 3x since it's parallel to the original line. Simplifying and bringing it to standard form such as Ax+By=C. Ax has to be positive, which is why -3x went to positive, and y and -10 switched signs.

The probability of randomly selecting a permutation of the 26 lowercase letters of the alphabet in reverse alphabetical order is 1 in 26! (26 factorial), which means it is a certain event.

Calculation:

To determine the probability, we must divide the total number of possible permutations by the number of possible permutations in reverse alphabetical order.

The 26 lowercase letters in the alphabet have a total of 26 possible permutations!, which means that the letters can be arranged in any order.

We assume that the first letter has only one option, z, the second letter has only one option, y, and so on until the last letter, a, to determine the number of permutations in reverse alphabetical order. Hence, the quantity of changes backward sequential request is additionally 26!.

The probability can be determined as follows:

Probability is equal to the total number of possible permutations divided by the number of permutations in reverse alphabetical order. 26!

Since 26! is the same as both the numerator and the denominator, They cancel each other, giving them a chance of one.

One in 26 people will choose a permutation of the 26 lowercase letters in reverse alphabetical order at random. 26 factororial), indicating that it is a particular event.

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