PLEASE HELP OF YOURE GOOD AT GEOMETRY! DUE TOMORROW. THANK YOU SO MUCH.

PLEASE HELP OF YOURE GOOD AT GEOMETRY! DUE TOMORROW. THANK YOU SO MUCH.

Answers

Answer 1

The coordinates of Room 1314 are given as follows:

(2, 13).

How to obtain the coordinates of room 1314?

We are going to label the rooms are follows:

Room 1305: X.Room 1324: Y.Room 1314: Z.

Then the coordinates of Room 1314 are obtained applying the proportions in the context of the problem.

Room 1314 is located five-sevenths of the distance from Room 1305 to Room 1324, hence the equation is given as follows:

Z - X = 5/7(Y - X).


Then the x-coordinate is obtained as follows:

x + 8 = 5/7(6 + 8)

x = 10 - 8

x = 2.

The y-coordinate is obtained as follows:

y + 2 = 5/7(19 + 2)

y + 2 = 15

y = 13.

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Related Questions

what is 120kg in lb?

Answers

Answer and Step-by-step explanation:

120 kg is approximately 264.55 lbs (pounds).

In a post office, the mailboxes are numbered from 1 to 4,500. These numbers represent О А categorical dataO B quantitative data O C e ither categorical or quantitative data. O D since the numbers are sequential, the data is quantitative.

Answers

The numbers on the mailboxes could be considered either categorical or quantitative data. The correct Option is C: Either categorical or quantitative data.

The numbers on the mailboxes can be considered either categorical or quantitative data, depending on the context in which they are being used.

If the numbers are simply labels for the mailboxes, with no inherent numerical value or order, then they can be considered categorical data. In this case, the numbers would be treated as labels for the different categories or groups, rather than as measurements with numerical significance.

On the other hand, if the numbers are being used to represent a quantity or a position in a sequence, then they can be considered quantitative data. For example, if the numbers represent the physical location of the mailbox within a building, or the order in which mail is sorted and delivered, then they can be treated as numerical measurements.

Therefore, without further context, the numbers on the mailboxes could be considered either categorical or quantitative data.

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What is the conversion of 350 euros to dollars ?

Answers

The converted value of the currency 350 euros to dollars is equal to 374.1493 dollars.

Euro and the dollars both are units which represents the currency of a particular country.The value of currency changes time to time.

The value of One Euro in dollars in todays time is equal to:

1 Euro = 1.068998 U.S. dollars

Now substitute the required converted Euro value we get ,

⇒ 350 Euros = ( 350 ×  1.068998 ) dollars

⇒ 350 Euros = ( 374.1493 ) dollars

Therefore, the value of the currency after conversion 350 euros to dollars is equal to 374.1493  dollars.

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The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440.

Answers

The measure of each interior angle of a decagon is 144 degrees.

1. A decagon is a 10 sided polygon.

2. The sum of the interior angles of any polygon with n sides is (n - 2) * 180 degrees.

3. For a decagon, n = 10, therefore the sum of the interior angles is (10 - 2) * 180 degrees = 8 * 180 degrees = 1440 degrees.

4. Therefore, the measure of each interior angle of a decagon is 1440 degrees / 10 = 144 degrees.

The measure of each interior angle of a decagon is 144 degrees.

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how to convert 50 meters to yards?

Answers

As per the conversion factor, 50 meters is equal to 54.6805 yards

Before we dive into the mathematical process of converting meters to yards, it is essential to understand the basic concept of these two units of distance. Meters and yards are both units of length used to measure distances, and they are both commonly used in different parts of the world.

Now, to convert 50 meters to yards, we need to know the conversion factor between meters and yards. A conversion factor is a mathematical relationship between two units of measurement. In this case, the conversion factor between meters and yards is 1 meter equals 1.09361 yards.

Using this conversion factor, we can easily convert 50 meters to yards. To do this, we simply multiply the distance in meters by the conversion factor. So,

50 meters x 1.09361 yards/meter = 54.6805 yards.

In conclusion, converting 50 meters to yards involves understanding the conversion factor between these two units of distance and using it to multiply the given distance in meters. With a little bit of practice, you can easily convert distances between meters and yards or any other units of measurement.

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how to convert oz to litre

Answers

One U.S. ounce (oz) is equal to 0.0296 litre. Simply multiply any number of oz with the given value of litre to convert and find volume.

Using a volumetric unit of measurement, the three-dimensional extent of an object or space can be determined. Volume is used to determine capacity. The volumetric unit is therefore essentially a unit for measuring the size or extent of an object or space.

The unit is typically used to describe the volume of goods or liquids. Use the International System of Units to calculate a quantity of something. The SI Units are used globally to communicate the measurements used in research settings despite the fact that people speak various languages.

For measuring volume, the three most widely used SI units are cubic meters, liters, and milliliters. specifically, the SI system's cubic meter as the unit of volume.

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Which inequality written in factored form represents the graphed region?

Answers

The correct inequality written in factored form represents the graphed region is,

⇒ y ≥ (x + 6) (x - 18)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The graph shows the inequality.

And, The point on the graph is, (- 4, - 44)

Now, By all options;

The correct inequality is satisfy the given point on the graph.

From (i);

The inequality is,

⇒ y ≥ (x + 6) (x - 18)

Put x = - 4, y = - 44

⇒ - 44 ≥ (- 4 + 6) (- 4 - 18)

⇒ - 44 ≥ (2) (- 22)

⇒ - 44 ≥ - 44

Hence, It is the correct inequality written in factored form represents the graphed region.

Thus, The correct inequality written in factored form represents the graphed region is,

⇒ y ≥ (x + 6) (x - 18)

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what can be concluded from the fact that the correlation coefficient between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation is -0.32?

Answers

The correlation coefficient -0.32 which is negative and close to zero, we conclude that there is an inverse and weak correlation between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation

What Is the Correlation Coefficient?

The correlation coefficient is a statistical measure of the strength of a linear relationship between two variables. Its values can range from -1 to 1.

Properties of correlation coefficientA positive correlation coefficient indicates a direct relationship between two variablesA negaitive correlation coefficient indicates an inverse relationship between two variablesA correlation coefficient close to 1 indicates a strong relationship between two variablesA correlation coefficient close to zero indicates a weak or no relationship between two variables

Now, since the correlation coefficient between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation is -0.32.

Since the correlation coefficient is negative and close to zero, we conclude that there is an inverse and weak correlation between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation

So, there is an inverse and weak correlation between them.

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Which of the following is NOT a key feature of the function h(x)?

h of x equals the quantity x minus 5 end quantity squared when 0 is less than or equal to x is less than or equal to 4 and negative log base 4 of x plus 6 when x is greater than 4.

The domain of h(x) is [0, ∞).
The x-intercept of h(x) is (5, 0)
The y-intercept of h(x) is (0, 25).
The end behavior of h(x) is as x → ∞, h(x) → –∞.

Answers

The key feature that is NOT present in the function h(x) is "The x-intercept of h(x) is (5, 0)".

To find the x-intercept of a function, we need to set the y-value to 0 and solve for x. In the case of h(x), we have two different equations for different ranges of x:

h(x) = (x - 5)² when 0 ≤ x ≤ 4

h(x) = -log₄(x + 6) when x > 4

Setting the first equation to 0 and solving for x, we get:

0 = (x - 5)²

0 = x - 5

x = 5

However, this value of x does not fall within the range of 0 ≤ x ≤ 4, so it is not a valid x-intercept for this equation.

Setting the second equation to 0 and solving for x, we get:

0 = -log₄(x + 6)

log₄(x + 6) = 0

4⁰ = x + 6

1 = x + 6

x = -5

This value of x also does not fall within the range of x > 4, so it is not a valid x-intercept for this equation either.

Therefore, the function h(x) does not have an x-intercept of (5, 0), and this is the key feature that is NOT present in the function.

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-4x=3(x+7) solve this please

Answers

ur mom (sorry i need to see answers)

Southeastern Bell stocks a certain switch connector at its central warehouse for supplying field service offices. The yearly demand for these connectors is 15,000 units. Southeastern estimates its annual holding cost for this item to be $25 per unit. The cost to place and process an order from the supplier is $75. The company operates 300 days per year, and the lead time to receive an order from the supplier is 2 working days.a)Find the economic order quantity.b) Find the annual holding costs.c) Find the annual ordering costs.d) What is the reorder point?

Answers

a) The economic order quantity is 300 units.

b) The annual holding costs are 3,750.

c) The annual ordering costs are 3,750.

d) The reorder point is 117 units.

To solve this problem, we can use the Economic Order Quantity (EOQ) model, which helps determine the optimal order quantity to minimize total inventory costs. The formula for EOQ is:

[tex]EOQ = \sqrt{((2DS/H)}[/tex]

where D is the annual demand, S is the setup cost per order, and H is the annual holding cost per unit.

a) Find the economic order quantity:

D = 15,000 units

S = 75 per order

H = 25 per unit per year

Substituting into the formula for EOQ:

[tex]EOQ = \sqrt{((2\times15000\times75)/25)} = \sqrt{90000} = 300 units[/tex]

Therefore, the economic order quantity is 300 units.

b) Find the annual holding costs:

To find the annual holding costs, we need to multiply the average inventory level by the holding cost per unit. Half of the EOQ can be used to compute the average inventory level.

Average inventory level = [tex]EOQ/2 = 300/2 = 150 units[/tex]

Annual holding costs = Average inventory level x Annual holding cost per unit

= [tex]150 \times25 = 3,750[/tex]

Therefore, the annual holding costs are 3,750.

c) Find the annual ordering costs:

To find the annual ordering costs, we need to divide the annual demand by the EOQ and then multiply by the setup cost per order:

Number of orders per year = Annual demand / EOQ =[tex]15,000 / 300 = 50[/tex] orders per year

Annual ordering costs = Number of orders per year x Setup cost per order

=[tex]50 \times75 = 3,750[/tex]

Therefore, the annual ordering costs are 3,750.

d) What is the reorder point?

The inventory level at which a new order ought to be placed is known as the reorder point. It is calculated as the lead time demand plus safety stock. The lead time demand is the demand during the lead time, which is 2 working days in this case. We can assume that the demand is evenly distributed over the 300 working days per year, so the lead time demand is:

Lead time demand = (Annual demand / 300) x Lead time = [tex](15,000 / 300) \times 2 = 100 units[/tex]

The safety stock is the buffer inventory kept to cover unexpected demand during the lead time. The safety stock depends on the desired service level and the variability of demand and lead time. Assuming a 95% service level and a normal distribution of demand and lead time, we can use the z-score corresponding to a 95% service level, which is 1.645. The standard deviation of demand during the lead time can be estimated as the square root of the lead time demand:

Standard deviation of demand during lead time = [tex]\sqrt{100}[/tex] = 10 units

The safety stock is then:

Safety stock = z-score x Standard deviation of demand during lead time

= [tex]1.645 \times 10 = 16.45[/tex] units (rounded up to 17 units)

Therefore, the reorder point is:

Reorder point = Lead time demand + Safety stock

= [tex]100 + 17 = 117[/tex]units

Therefore, the reorder point is 117 units.

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Two cards are dealt one after the other from a shuffled 52 card deck why is it wrong to say that the probability of getting two red cards is

Answers

It is wrong to say that the probability of getting two red cards is the same as the probability of getting one red card because the two events are not independent.

Why is it wrong to say that the probability of getting two red cards is same?

The probability of getting a red card on the first draw is 26/52 or 1/2. However, the probability of getting a red card on the second draw depends on what card was drawn first. If a red card was drawn first, there are now only 25 red cards left in the deck and the probability of getting a red card on the second draw is 25/51. If a black card was drawn first, there are still 26 red cards left in the deck and the probability of getting a red card on the second draw is 26/51. Therefore, it is wrong to say that the probability of getting two red cards is the same as the probability of getting one red card.

The correct way to calculate the probability of getting two red cards is to multiply the probability of getting a red card on the first draw by the probability of getting a red card on the second draw given that a red card was drawn first. This gives us:

P(two red cards) = P(red card on first draw) * P(red card on second draw | red card on first draw)

= (26/52) * (25/51)

= (1/2) * (25/51)

= 25/102


So the probability of getting two red cards is 25/102 or approximately 0.2451.

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what is multiplying polynomials calculator?

Answers

A multiplying polynomials calculator is a tool used to multiply two or more polynomials together.

A multiplying polynomials calculator is a tool used to multiply two or more polynomials together. It can be helpful for simplifying algebraic expressions, solving equations, and performing various calculations in mathematics and engineering.

The calculator takes the coefficients of each polynomial as input and uses the distributive property to multiply the terms of each polynomial together. It then combines like terms and arranges the result in descending order of degrees. Multiplying polynomials can be a tedious and error-prone process, especially for large polynomials, so using a calculator can save time and reduce the chances of errors. The multiplying polynomials calculator is commonly used by students, teachers, engineers, and anyone working with algebraic expressions.

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Suppose that when your friend was​ born, your​ friend's parents deposited ​$7000 in an account paying ​6.1% interest compounded quarterly. What will the account balance be after 15 ​years?

Answers

The account balance after 15 years will be $17,945.90.

Determine whether the variable is a discrete random variable, continuous random variable, or not a random variable.
a. The height of a randomly selected giraffe.
b. The number of textbook authors now sitting at a computer.
c. The gender of college students.
d. The number of people in a restaurant that has a capacity of 300.
e. The number of bald eagles in a country.
f. The number of people with blood type A in a random sample of 43 people.

Answers

a) It is a continuous random variable.

b) It is a discrete random variable.

c) It is not a random variable nor discrete.

d) It is a continuous random variable

e)  It is a discrete random variable

f) It is a discrete random variable

What is Continuous Random Variable?

A continuous variable has an uncountable range of possible values.

Any value falling inside an interval is acceptable.

What Is Discrete Random Variable?

They cannot be stated as decimal numbers and can only accept a discrete value. Counting is used to obtain them rather than measuring.

a). The height of a randomly selected giraffe is a continuous random variable.

b). The random variable is discrete. You can count how many people are sitting at a computer.

c). The gender of college students ⇒ Gender is categorical data. It is neither continuous nor discrete.

d). The number of people in a restaurant that has a capacity of 300 is a continuous random variable

e). The number of bald eagles in a country Since the number of people cannot be expressed as decimals, thus it is a discrete random variable

f). it is a discrete random variable as a number of people is a discrete count, which takes values such as 0 or 1 or 2.

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what is sample variance formula

Answers

The sample variance formula is: (sum of squared differences between each data point and the sample mean) divided by (sample size minus one).

The sample variance formula is a statistical calculation used to measure the variability of a set of data values in a sample. Variance is a measure of how spread out a set of data is, and it provides a measure of the average deviation of the individual data points from the sample mean.

The sample variance formula is calculated by taking the sum of the squared differences between each data point and the sample mean, and dividing that value by the sample size minus one. The resulting value provides a measure of how much the data points vary from the mean of the sample, and is an important tool for assessing the reliability and validity of statistical results.

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Select the correct answer.
If f(x) = 3x + 2 and g(x) = 2x - 2, what is (f- g)(x)?
O A.
OB.
X + 4
OE.
X-2
O C. X
O D. 5x-2
X-4

Answers

Answer:

A

Step-by-step explanation:

(f - g )(x)

= f(x) - g(x)

= 3x + 2 - (2x - 2) ← distribute parenthesis by - 1

= 3x + 2 - 2x + 2 ← collect like terms

= x + 4

The value of the function (f-g)(x) is x+4.

What is a function?

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).

Given are two functions, f(x) = 3x+2 and g(x) = 2x-2, we need to find the value of (f-g)(x)

So,

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

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

= x+4

Hence, the value of the function (f-g)(x) is x+4.

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find the zeros of 2x^3+px^2+qx+18

Answers

Answer:

p = 29 and q = -3.

Step-by-step explanation:

Using long division, the remainder when we divide by x − 1 is p+q−16.  The remainder when we divide by x + 1 is p−q−20.

A book cost $18 that is 3 times more than a dvd how much does a dvd cost

Answers

Answer:

Hi! This question tells us that the book costs $18 and that it costs 3 times more than a DVD. In order to determine the cost of the DVD, all we have to do is divide 18 by 3. 18 divided by 3 is 6. Therefore, the DVD costs $6.

Hope this helps!

Answer:$6

Step-by-step explanation: 18÷3=6

etermine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. Weight of subject (kg) Choose the correct answer below. O A. The ordinal level of measurement is most appropriate because the data can be ordered, but differences (obtained by subtraction) cannot be found or are meaningless. OB. The nominal level of measurement is most appropriate because the data cannot be ordered. OC. The ratio level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, and there is a natural zero starting point. OD. The interval level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, but there is no natural zero starting point.

Answers

The correct option is (A) The ordinal level of measurement is most appropriate because the data can be ordered, but differences cannot be found or are meaningless.

The ordinal level of measurement is most commonly used when dealing with data that can be ordered, but the differences b/w the data points are not significant or cannot be determined. This type of data is commonly used when looking for ranking or grading data.

For example In customer satisfaction surveys, or when categories are assigned values, like when a student's performance in a class is assigned a letter grade. With the ordinal data, the values ​​are ordered in a meaningful way, but the differences between the values ​​are not necessarily significant.

For example, if you assign a letter grade to a student's performance, difference between an A and a B is not importantly difference among C and D. This type of data is useful for finding a quick and easy way to compare data points, but this gives no information about the actual differences between the data points.

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question brian and nicole went to watch the local basketball team. each of them bought a game ticket and a $16.50 team jersey. together, they paid a total of $75.50. how can brian determine the cost of each ticket?

Answers

The solution is, the cost of each ticket is $21.25.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

each of them bought a game ticket and a $16.50 team jersey.

together, they paid a total of $75.50.

now, we get,

total cost of jersey = 16.50 * 2

                               =33

so, total cost of ticket = 75.50 - 33

                                    =42.50

so, we get,

the cost of each ticket = 42.50 / 2

                                     =21.25

Hence, The solution is, the cost of each ticket is $21.25.

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Find the solution to the linear system of differential equations {x′= 22x + 60y, y′= -6x - 16y
satisfying the initial conditions satisfying the initial conditions x(0)=5 and y(0)=3:

Answers

The solution to the system of differential equations that satisfies the initial conditions x(0)=5 and y(0)=3 is:

x(t) = (29/3) [tex]e^{\frac{22t}{3} }[/tex] - (4/3) [tex]e^{\frac{-16t}{3} }[/tex]

y(t) = (-13/3) [tex]e^{\frac{22t}{3} }[/tex] + (2/3) [tex]e^{\frac{-16t}{3} }[/tex]

To solve the system of differential equations, we can use matrix exponential. The system can be written in matrix form as follows:

X' = AX, where X = [x y], A = [22 60; -6 -16]

The matrix exponential of A can be calculated as follows:

[tex]e^{(At)}[/tex] = I + At + [tex]\frac{(At)^{2}}{2!}[/tex] + [tex]\frac{(At)^{3}}{3!}[/tex] + ...

where I is the identity matrix and t is the variable of integration.

We can substitute A and t = 1 into the formula to get:

[tex]e^{A}[/tex]= I + A + [tex]\frac{(A)^{2}}{2!}[/tex] + [tex]\frac{(A)^{3}}{3!}[/tex]+ ...

= [1 0; 0 1] + [22 60; -6 -16] + [44 192; -36 -104]/2! + [ -256 -768; 96 272]/3! + ...

= [1 + 22 + [tex]\frac{44}{2!}[/tex] - [tex]\frac{256}{3!}[/tex]*60 + [tex]\frac{192}{2!}[/tex] - [tex]\frac{768}{3!}[/tex];

-6 + [tex]\frac{(-6)}{2!}[/tex] + [tex]\frac{96}{3!}[/tex] - 16 + [tex]\frac{(-104)}{2!}[/tex]+ [tex]\frac{272}{3!}[/tex]]

= [[tex]\frac{29}{3}[/tex] [tex]\frac{102}{3}[/tex];

[tex]\frac{-13}{3}[/tex]  [tex]\frac{-4}{3}[/tex] ]

Now we can use the initial conditions to find the constants of integration. We have:

X(0) = [x(0) y(0)] = [5 3]

So,

[[tex]e^{A}[/tex]] [[tex]c_{1}[/tex]] = [5]

[[tex]c_{2}[/tex]] [3]

Multiplying both sides by the inverse of [tex]e^{A}[/tex], we get:

[[tex]c_{1}[/tex]] = [29/3 102/3]^(-1) [5]

[[tex]c_{2}[/tex]] [-13/3 -4/3] [3]

Solving this system of linear equations, we get:

[tex]c_{1}[/tex] = -4/3

[tex]c_{2}[/tex] = 2/3

Therefore, the solution to the system of differential equations that satisfies the initial conditions x(0)=5 and y(0)=3 is:

x(t) = (29/3) [tex]e^{\frac{22t}{3} }[/tex] - (4/3) [tex]e^{\frac{-16t}{3} }[/tex]

y(t) = (-13/3) [tex]e^{\frac{22t}{3} }[/tex] + (2/3) [tex]e^{\frac{-16t}{3} }[/tex]

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What is the conversion of 3/16 as a decimal ?

Answers

Answer: 0.1875

Step-by-step explanation: ..

Multiply the following rational expressions. Remember to fully simplify your answer.
(x^2-1)/(2x-3) ∙ (2x^2+x-6)/(x^2+3x+2)
PLEASE SHOW ALL WORK FOR BRAINLIEST

Answers

Answer:

Answered By Unish ©

Verified Answer ✅

Step-by-step explanation:

Multiply the following rational expressions. Remember to fully simplify your answer.

(x^2-1)/(2x-3) ∙ (2x^2+x-6)/(x^2+3x+2)

First, let's factor the expressions in both numerators and denominators to simplify the multiplication:

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(x^2 - 1)/(2x - 3) = (x + 1)(x - 1)/(2x - 3)

scss

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(2x^2 + x - 6)/(x^2 + 3x + 2) = (2x - 3)(x + 2)/(x + 1)(x + 2)

Notice that the factor (x + 2) appears in both the numerator and denominator of the second expression. We can cancel this factor and simplify the expression:

scss

Copy code

(x^2 - 1)/(2x - 3) ∙ (2x^2 + x - 6)/(x^2 + 3x + 2)

= [(x + 1)(x - 1)/(2x - 3)] ∙ [(2x - 3)/(x + 1)]

= (x - 1)

Therefore, the simplified product of the two rational expressions is x - 1.

are the expressions -3^2 and (-3) ^2 equivalent? explain

Answers

The value of the expressions are not equal

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

p = -3²

q = ( -3 )²

On simplifying the equations , we get

The value of p = -9

The value of q = 9

So , the value of p and q are not equal

Hence , the equations are not equal

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Find the measure of the largest exterior angle

Answers

Answer:

sum of all side of Pentagon= 540

10x+6x+4x+3x+x=540

24x. =540x. =540/24x. = 22.5

According to question

10x = 10×22.5=225

Type the missing number to complete the proportion.

9 laps in 1 day = 18 laps? in
days

Answers

Answer: 9 laps in 1 day = 18 laps in 2 days

Step-by-step explanation:

To complete the proportion, we can use the fact that the number of laps is directly proportional to the number of days:

9 laps in 1 day = 18 laps in x days

To solve for x, we can use the property of proportions that the product of the means equals the product of the extremes:

9 laps × x days = 1 day × 18 laps

Simplifying, we get:

9x = 18

Dividing both sides by 9, we get:

x = 2

Therefore, the missing number to complete the proportion is 2. The complete proportion is:

9 laps in 1 day = 18 laps in 2 days

Answer: 2 days

Step-by-step explanation: 9 + 2 equals 18 therefor 18 laps in 2 days

Find the area of the surface generated when the given curve is revolved about the given axis. y=1/16(e^8x+e^−8x)​,
for
−3≤x≤3​;
about the​ x-axis The surface area is
square units.

Answers

In this problem, the lower limit of integral is -3 and the upper limit of integration is 3.

We can use the formula for the surface area of a solid of revolution generated by a curve revolving around a given axis. The formula is S = 2π ∫ a b y dx, where a and b are the lower and upper limits of integration, and y is the height of the curve at x. In this problem, the lower limit of integration is -3 and the upper limit of integration is 3. Substituting y = 1/16(e^8x + e^-8x) into the equation gives S = 2π ∫ -3 3 (1/16(e^8x+e^-8x)) dx. Integral this expression gives S = 10512π.

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Find the perimeter of an equilateral triangle with an alititude of 18 inches

Answers

the perimeter of the equilateral triangle with a side length of 12√3 is 36√3 units.

In order to find the perimeter of the given triangle, we have to find the side of the triangle. The altitude of the triangle  = 18 inches. Let us assume the side of the triangle as a. The formula for calculating the altitude of an equilateral triangle is : Altitude  =√3/2×a  (side)

18 =√3/2 × a

a = 18 × 2√3

a = 36√3

a = 36 ×√3 / √3×√3

a =36√3/3

a = 12√3 inches.

If the side of an equilateral triangle is 12√3, then all three sides of the triangle are of equal length, since it is an equilateral triangle. Therefore, the perimeter of the triangle is simply the sum of the lengths of its three sides. Since each side of the triangle has a length of 12√3, the perimeter is: Perimeter = 3 x (12√3) = 36√3.

Therefore, the perimeter of the equilateral triangle with a side length of 12√3 is 36√3 units.

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What is the result 17 x 2 ?

Answers

Answer: 34

Step-by-step explanation:

The result of multiplying the numbers 17 by 2 is 34.

When you multiply two numbers, you are essentially adding the first number to itself a certain number of times, determined by the second number.

In this case, when you multiply 17 by 2, you are adding 17 to itself two times:

17 + 17 = 34

Therefore, the result of multiplying 17 by 2 is 34.

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