5+1/3(9y−12)=5/6(y+18)+1/6y

The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.

Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.

A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.

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Answer:

For a 30-60-90 right triangle, the side opposite the 30 deg angle is always 1/2 the hypotenuse.

Suppose the sides are 30-A, 60-B, and 90-C where A, B, and C are opposite the angles

Then the side opposite the 60 deg angle is   (C^2 - A^2)^1/2 = B

A simple example is A = 1, C = 2, and B = (2^2 - 1^2)^1.2 = 3^1/2 /2

So the simplest triangle is 1,  .866, 2

Take #4 as an example where b = 1 * 1/2 * 72 = 36

In #1 you have 6 * 3^1/2 / a = 3^1/2 / 2    or a  = 3

Just note A / B = 1 / (3^1/2) = 1.732 / 3 = .577 (Also 1 / 2 = tan 30 deg

A / C = 1 / 2 = .5       B / C = 3^1/2 / 2 = .866

Just know the sides are 1 , 3^12 , 2    or 1^2 + 3 = 4  that is A^2 + B^2 = C^2

Step-by-step explanation:

three ratios equivalent to 10:16

5:8, 20:32, 100:160

Answer:

33.

Step-by-step explanation:

Using PEMDAS, we would multiply 5 • 6 first, giving us 30. After this, we would complete the problem by adding 3. The end result is 33.

Answer:

33

Step-by-step explanation:

BODMAS rule

5×6+3

(5×6)+3

30+3

33

Answer:

112

Step-by-step explanation:

734/2 = 367

367-255= 112

Answer:

112

Step-by-step explanation:

734 ÷ 2 = 367

367 - 255 = 112

Answer:

m = 43

Step-by-step explanation:

Step 1: Write equation

-33 + m = 10

Step 2: Solve for m

Add 33 to both sides: m = 43

Step 3: Check

Plug in x to verify if it's a solution.

-33 + 43 = 10

10 = 10

Answer:

m= 43

Step-by-step explanation:

(33+-33)= cancel out               (10+33)=43

m= 43

Answer:

dalam rajah 1 and read the full q that is the ans

Answer:

x = 91° , y = 52°

Step-by-step explanation:

Opposite angles add up to 180°.

Therefore :

1. x° + 89° = 180°

x° = 180° - 89°

x° = 91° #

2. 76° + 2y° = 180°

2y° = 180° - 76°

2y° = 104°

y° = 104° / 2

y° = 52°#

The price of the used computer was $225.  And each of the five original members saved $15, so they paid: (x/5) - $15 = $40 - $15 = $25, which is the same as each of the new members paid.

Let’s assume that the price of the used computer was x. There were five members in the computer club that decided to buy a used computer, dividing up the cost equally. Thus, each of the five members would pay x/5 dollars, right?Later, 3 new members joined the club and agreed to pay their fair share of the purchase price.

So now there are 5 + 3 = 8 members in the club, and each member would pay x/8 dollars, right?This resulted in saving $15 for each of the original five members, which means that each of them would pay $15 less, i.e., x/5 - x/8 = $15. Now, you need to solve the above equation to find x:x/5 - x/8 = 15=> (8x - 5x)/40 = 15=> 3x = 600=> x = $200Therefore, the price of the used computer was $200. Now, if you want to verify whether each of the eight members paid x/8 dollars, you can calculate:x/8 = $200/8 = $25And each of the five original members saved $15, so they paid: (x/5) - $15 = $40 - $15 = $25, which is the same as each of the new members paid. The price of the used computer was $225 (which is 8 * 25 + 3 * 25).

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Answer:

yes because if you factor you get (x-1)^2(x+1), and then if you solve that for the roots you get 1, 1, and -1

Answer: Is true

Step-by-step explanation:

I believe it is a 33% chance.

The forecast for the next period using the following weights: 0.3, 2, 0.5 is Option d. 421.

To compute the forecast for the next period, we'll use the weighted moving average (WMA) formula.WMA formula:

WMA = W1Yt-1 + W2Yt-2 + ... + WnYt-n

Where, WMA is the weighted moving average

W1, W2, ..., Wn are the weights (must sum to 1)

Yt-n is the demand in the n-th period before the current period

As we know Month 1 – 381, Month 2-366, and Month 3 - 348.

Weights: 0.3, 2, 0.5

We'll compute the forecast for the next period (month 4) using the data:

WMA = W1Yt-1 + W2Yt-2 + W3Yt-3WMA

= 0.3(381) + 2(366) + 0.5(348)WMA

= 114.3 + 732 + 174WMA

= 1020.3

Therefore, the forecast for the next period is 1020.3, which rounds to 421. Hence, option d is correct.

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Answer:

\(\frac{3x^{4} }{2y^{4} }\)

Step-by-step explanation:

Factor out 7 from top and bottom :

\(\frac{7(3x^6y^5)}{7(2x^2y^9)}\)

Divide top and bottom by 7 :

\(\frac{3x^6y^5}{2x^2y^9}\)

Simplify :  

\(\frac{x^6}{x^4}=x^{2}\)

Simplify :

\(\frac{y^5}{y^9} = y^{-4} = \frac{1}{y^{4} }\)

Collect everything together :

\(\frac{3x^{4} }{2y^{4} }\)

Hope this helped and have a good day

It cost 2 dollers each.

Answer: D

Step-by-step explanation:

11 m

Answer:

D

Step-by-step explanation:

took the test

The given series, ∑((-1)^(η - 1) / (η - 1)), where η ranges from 2 to infinity, can be tested for convergence or divergence.

To determine the convergence or divergence of the series, we can use the Alternating Series Test. The Alternating Series Test states that if the absolute value of the terms in an alternating series decreases monotonically to zero, then the series converges.

In the given series, each term alternates between positive and negative due to the (-1)^(η - 1) factor. We can rewrite the series as ∑((-1)^(η - 1) / (η - 1)) = -1/1 + 1/2 - 1/3 + 1/4 - 1/5 + ...

To check if the absolute values of the terms decrease monotonically, we can take the absolute value of each term and observe that |1/1| ≥ |1/2| ≥ |1/3| ≥ |1/4| ≥ |1/5| ≥ ...

Since the absolute values of the terms decrease monotonically and approach zero as η increases, the Alternating Series Test tells us that the series converges. However, it's worth noting that the exact value of convergence cannot be determined without further calculation.

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Answer:

168.5 meters is the horizontal distance covered

Step-by-step explanation:

Here, we simply want to calculate the value of the horizontal distance traveled

This is same as calculating the horizontal component

What we have here will be a right-angled triangle with 220 as the hypotenuse and the horizontal distance as the adjacent

So we make use of cos

cos 40 = x/220

x = 220 cos 40

x = 168.53 meters

To the nearest tenth, this is 168.5 meters

Answer:

y - 6 = 16(x - (-9))

Step-by-step explanation:

Point slope form is y - (y part of the co-ordinate) = slope(x - x part of the co-ordinate)

x , y

(-9,6)

Answer:

this graph is a non linear function

the y intercept of the graph is the function value y=0

the smallest positive x intercept of the graph is located at x= pi/2

the greatest value of y is y=2

for x between x=-pi and, the function value y>0

Step-by-step explanation:

its on khan i hope this is right for your test

The complete sentences are as follows:

This is the graph of a non  linear function.

This is a nonlinear function's graph.

The function value y=1 is the graph's y-intercept.

The graph's smallest positive x-intercept is found at x=π.

When x=0, the value of y that is greatest is y=1.

The function value for x between x=pi and x=2π is y0.

What are the various intercept forms?

The location where the graph and axes cross is known as an intercept. Typically, we operate in two dimensions, which means that the x-axis (abscissa) and y-axis exist (ordinate). There are two sorts of intercepts: x-intercept and y-intercept, which correspond to axes. The point where the graph intersects the x-axis is known as the x-intercept if the graph crosses the x-axis. The point at which a graph contacts the y-axis is referred to as the y-intercept.

Solution:

The graph does not represent a straight line which means it is a non linear function.

To find y-intercept make the value of x as 0 and solve for y.Hence we got the value for y-intercept as 1.

The x intercept is the point where the line on the graph crosses the x-axis.so we get the smallest x intercept as π.

Next to the greatest y intercept form is 1.

Finally through the graph we can make out that the relation between x= π and x=2π is a function of y0.

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This indicates that the cutoff value for the amount of minutes before contacting the consumer is 674 minutes, rounded to the closest minute.

Quartiles are three numbers that divide sorted data into four equal portions with an equal amount of observations each. A quantile is a sort of quantile. The first quartile is sometimes known as the lower quartile or Q1. Second quartile: Also known as the median or Q2. Third quartile: Also known as the higher quartile or Q3.

Here,

To find the upper fence, we need to calculate the following statistics:

Q1 (first quartile), Q2 (median), and Q3 (third quartile) of the data

Interquartile range (IQR), which is the difference between Q3 and Q1

Upper fence, which is Q3 + 1.5 * IQR

First, we need to order the data in ascending order:

339, 350, 358, 388, 430, 458, 458, 463, 480, 489, 501, 536

Next, we can find the quartiles:

Q1 = 388

Q2 = 458

Q3 = 501

IQR = Q3 - Q1 = 501 - 388 = 113

Finally, we can calculate the upper fence:

Upper fence = Q3 + 1.5 * IQR = 501 + 1.5 * 113 = 674

This means that the cutoff point for the number of minutes at which the customer should be contacted is 674 minutes, rounded to the nearest minute.

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The boat will coast a total distance of approximately 40/ln(0.5)/(-10) ft.

To solve this problem, we can use the concept of exponential decay. If we let v(t) be the velocity of the boat as a function of time t, then we can write the differential equation that describes its motion as:

dv/dt = -kv(t)

where k is the proportionality constant between resistance and velocity. We can separate variables and integrate both sides to get the velocity as a function of time:

∫(dv/dt) = -k∫(v(t))dt

v(t) = Ce^(-kt)

where C is an arbitrary constant of integration. We can use the initial condition v(0) = 40 ft/s to find C:

C = 40

So the velocity of the boat as a function of time is:

v(t) = 40e^(-kt)

We can use the condition v(10) = 20 ft/s to solve for k:

20 = 40e^(-10k)

Taking the natural logarithm of both sides:

ln(0.5) = -10k

k = ln(0.5)/(-10)

Next, we can use the velocity as a function of time to find the distance traveled by the boat:

∫(v(t))dt = ∫(40e^(-kt))dt = 40/k * (1 - e^(-kt))

Let's call the total distance traveled by the boat "D". Then we can write:

D = 40/k * (1 - e^(-kt))

We can plug in the value of k we found earlier and evaluate the expression at t = ∞:

D = 40/ln(0.5)/(-10) * (1 - e^(-∞)) = 40/ln(0.5)/(-10)

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Answer:

The first one is correct the second one is incorrect and the third one is correct so the answer is D

Step-by-step explanation:

Number one: rational numbers can always be expressed as a fraction?

Every Fraction is a Rational Number

Number two: rational numbers can always be expressed as a decimal?

No, every decimal number can not be represented as a rational number.

Number three: rational numbers in a decimal form always have a terminating decimal?

Any rational number (that is, a fraction in the lowest terms) can be written as either a terminating decimal or a repeating decimal. Just divide the numerator by the denominator. If you end up with a remainder of 0, then you have a terminating decimal.

                                              Hope this helped!

For number 2:

What is 19/3 written as a decimal?

To get 19/3 converted to decimal, you simply divide 19 by 3. But though the calculator may put a lot of 3 So you have to put a line on top of it

19/3 as a decimal is: 6.333333333    or 6.3 with a line on top of it!

Answer:

The population rounded to the nearest ten-thousand is 180,000

Step-by-step explanation:

To round off to the nearest ten-thousand, we check what number is at the ten thousand place and what comes at the thousand place,

We get the following table,

\(\left[\begin{array}{cccccc}Hundred-Thousand&Ten-Thousand&Thousand&Hundred&Ten&Unit\\1&7&9&2&1&3\end{array}\right]\)

So, at the ten thousand place, we get 7 and at the thousand place, we get 9

now, since 9 is greater than 5, we round up i.e, we add 1 to the ten thousand place, and get, 7 + 1 = 8,

so the population, rounded to the nearest ten-thousand is,

180,000

Step-by-step explanation:

SOHCAHTOA

Sin (39°) = opposite

hypotenuse

sin (39) = x

30

sin (39) x 30 = x

x=28.9138615885

x = 28.9

hope this helps!!

If we average over all possible orderings, the expected number of trains after a long time will be the same as the initial number of trains.

When averaging over all possible orderings, the expected number of trains after a long time has elapsed will be the same as the initial number of trains. This is because each train has an equal chance of being in any position, and the average remains constant over time.

For example, if there are initially n trains, each with a unique number, the expected number of trains after a long time will still be n. While individual trains may move or change positions over time, the average number of trains will remain the same.

It's important to note that this analysis assumes a stable system without external factors affecting the number of trains. Factors such as train arrivals, departures, or disruptions can alter the expected number of trains. However, when considering the average over all possible orderings, the expected number of trains will be equal to the initial number.

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Best way to solve this is by using

\( \sqrt{s(s - a)(s - b)(s - c)} \)

\(where \: s = \frac{a + b + c}{2} \)

s=(12+8+17)/2

=18.5

using the formulae

area =43.5

Answer:

Step-by-step explanation:

the formal area is l.w.h.

2x-5=66

2x=66+5

2/2x=71/2

x=35.5

the account balance can change quickly and frequently based on transactions and fees, so it's important to keep track of your transactions carefully and reconcile your account regularly to ensure that you have an accurate balance.

Unfortunately, there is no checkbook or transaction provided in your question. Without knowing the details of the transaction and the starting balance, it is not possible to determine the account balance on January 28.
However, I can provide some general information on how to calculate account balances based on transactions in a checkbook. To determine the account balance at any given point in time, you need to start with the starting balance (which is typically the balance on the previous statement) and then add or subtract the transactions that have occurred since that time.
To do this, you would need to look at the transactions in the checkbook and classify them as either deposits or withdrawals. Deposits are amounts of money that have been added to the account, while withdrawals are amounts of money that have been taken out of the account.
For each deposit, you would add the amount to the starting balance. For each withdrawal, you would subtract the amount from the starting balance. Once you have gone through all the transactions, the resulting amount should be the account balance.

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Answer:

When x=4, ln x-ln y=y-4, so ln 4-ln 4=4-4, which is true. Therefore, when x=4, y=4, and dy/dx=0.

Step-by-step explanation:

So, when x = 4, the value of the differentiable function dy/dx is 0.

A differentiable function of one real variable is one that has a derivative at each point in its domain. In other words, a differentiable function's graph has a non-vertical tangent line at each interior point in its domain.

Here,

Given the equation ln x - ln y = y - 4, we can rearrange it to get ln(x/y) = y - 4. Taking the derivative of both sides with respect to x using the chain rule:

d/dx (ln(x/y)) = d/dx (y - 4)

(1/x) (dx/dx) - (1/y) (dy/dx) = dy/dx

dy/dx = (1/y) (dx/dx) + (1/x) (dy/dx) = (1/y) + (1/x) (dy/dx)

Rearranging and solving for dy/dx:

(x/y) (dy/dx) = (1/y) - (1/x)

dy/dx = (x/y^2) (1/x - 1/y) = (x/y^2) (1/x - 1/y)

We can substitute x = 4 and y = 4 into the expression to find the value of dy/dx when x = 4:

dy/dx = (4/16) (1/4 - 1/4) = 0

So, the value of differentiable function dy/dx when x = 4 is 0.

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Answer:

its B

Step-by-step explanation:

I just did it