Suppose that today the exchange rate between the u.s. dollar and the chinese yuan is $1 =.12 yuan. if next week the exchange rate is $1 = .20 yuan, it is clear that:____.

Let D be the number of dimes and N be the number of nickels.

Since there is a total of 236 coins, then:

Since a dime is worth 0.1 and a nickel is worth 0.05, then for D dimes and N nickels, they will worth 0.1D + 0.05N. Then:

Isolate D from the first equation:

Replace D for the expression 236-N in the second equation and solve for N:

Substitute N=124 into the expression for D to find the amount of dimes:

Therefore, there are 124 nickels in total.

Answer:

1. 7+62+5+4

2. 18+62+5

3.15+4+1

4.5 families

6. three

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

The relationship between logarithmic and exponential functions is that they are inverses of each other. The graphs of these functions are symmetric about the line y = x.

The statement that the inverse of every logarithmic function is an exponential function, and vice versa, means that if we have a logarithmic function f(x) and its inverse g(x), then g(x) is an exponential function, and vice versa. In other words, if f(x) = log_b(x), then its inverse g(x) is given by g(x) = b^x, where b is the base of the logarithm.

When we consider the graphs of these functions, we observe that they are symmetric about the line y = x. This means that if we reflect any point (a, b) on the graph of a logarithmic function across the line y = x, we will obtain a corresponding point (b, a) on the graph of its inverse exponential function.

The line y = x represents the identity line, where the x-coordinate is equal to the y-coordinate. The symmetry of the graphs about this line arises from the inverse relationship between logarithmic and exponential functions. This symmetry is a fundamental property of inverses and can be seen by observing that the composition of a function and its inverse results in the identity function.

To know more about logarithmic functions, visit:

brainly.com/question/30339782
#SPJ11

The expected recorded score in a grade book is the total amount of points earned on both parts of the assignment. This is written as e(x+y), where e stands for expected, x is the points earned on part 1, and y is the points earned on part 2. Therefore, the expected recorded score is the sum of the points earned on both parts, e(x+y).

e(x+y)

e = expected

x = points earned on part 1

y = points earned on part 2

So, the expected recorded score is the total of points earned on both parts: e(x+y).

The expected recorded score in a grade book is the total amount of points earned on both parts of the assignment. This is written as e(x+y), where e stands for expected, x is the points earned on part 1, and y is the points earned on part 2. Therefore, the expected recorded score is the sum of the points earned on both parts, e(x+y). This formula is useful for quickly calculating the total score of an assignment, allowing the grade book to be updated quickly and accurately.

Learn more about sum here

https://brainly.com/question/641910

#SPJ4

Answer:

i need help

Step-by-step explanation:

Answer:

Your answers are:

A, B and C

Step-by-step explanation:

So 12 over 3 is equal to 4 which is a Whole number. meaning Not a fraction, an Integer is a whole number (not a fractional number) that can be positive, negative, or zero. Rational numbers would include this example as well

Hope this helped have a wonderful day/night/afternoon

Answer:

22meter per second

Step-by-step explanation:

374/17=22

Answer:

Could I have branliest please and heart answer is below <>

Step-by-step explanation:

22

374meters. 17

(/). divided by (/)

17seconds 17

Equals 22 meters per second

Equation for a function f(x) = 8π.

The function of a sine curve with the period of 8π, amplitude of 3, left phase shift of π/4, and vertical translation down 2 units can be represented by the following equation:

f(x) = -3sin [ (π/4) - (2π/8π) (x) ] - 2  where, f(x) is the function-3 is the amplitude of the function-2 is the vertical translation π/4 is the left phase shift

The period of the function can be calculated as:

T = 2π/b = 2π/[(2π/8π)] = 8

Therefore, the period of the function is 8π.

To learn more about function

https://brainly.com/question/11624077

#SPJ11

The constant of proportionality for the relationship between number of laps (x) and minutes swimming (y) is 5x-2y = 0.

A proportionality graph, also known as a direct proportionality graph, is a graph that represents the relationship between two variables that are directly proportional to each other.

In a proportionality graph, the x-axis represents the independent variable, while the y-axis represents the dependent variable. When the two variables are directly proportional, the graph will form a straight line passing through the origin (0,0). This means that as the independent variable increases, the dependent variable also increases in proportion to it.

Here we by using the graph the relationship is 5x = 2y

Let x is a number of laps and y is the minutes swimming then the constant of proportionality is 5x-2y = 0.

To know more about graph, Visit:

https://brainly.com/question/19040584

#SPJ1

Answer:

Step-by-step explanation:

5x-10  = 180-130

5x-10 = 50

5x = 60

x = 12°

Answer:

1/10

Step-by-step explanation:

Answer:

n = -3

Step-by-step explanation:

11(n – 1) + 35 = 3n

11n - 11 + 35 = 3n

24 = -8n

n = -3

The mathematical procedure for decomposing a complex waveform into simpler waveforms is known as Fourier analysis. It allows for the identification of the individual frequency components that contribute to the overall pattern.

Fourier analysis, named after the French mathematician Jean-Baptiste Joseph Fourier, is a fundamental technique used in many fields, including signal processing, physics, and engineering. It is based on the concept that any complex waveform can be represented as a combination of simpler sinusoidal waveforms. These simpler waveforms are characterized by their frequency, amplitude, and phase.

The procedure involves decomposing a complex waveform into its constituent frequencies by applying the Fourier transform. The Fourier transform converts the waveform from the time domain to the frequency domain, revealing the underlying frequency components. By analyzing the resulting spectrum, which shows the amplitude and phase of each frequency component, one can determine the simpler waveforms that make up the original complex pattern.

Fourier analysis has numerous applications, such as analyzing sound waves, image processing, and data compression. It enables us to better understand and manipulate complex signals by breaking them down into their fundamental building blocks.

Learn more about fourier analysis here:

https://brainly.com/question/28385206

#SPJ11

Answer:

draw a rectangle with side lengths 8 and 5. the ratio of the side lengths will be 8:5.

There is no value of x that meets the requirements because this is a contradiction.

The angle addition postulate can be used to determine the value of x. According to the angle addition postulate, if point Y is inside the angle ZUVX, then

According to the geometry postulate known as the angle addition, if two or more angles are placed side by side, with a common vertex and arm connecting each pair, the sum of those angles will equal the sum of the resulting angle1.

Take the two nearby angles ACB and CDB as an illustration. To identify undiscovered angles, we can combine their measurements. According to the angle addition postulate,∠ ACB + ∠CDB equals∠ ADC2.

ZUVX plus YUVX equals ZVYX and YVYX.

Since mVYX = 282 and mZUVX = (4x - 5) are known values, we may replace them in the equation as follows:

(4x - 5) + mYUVX + mZVYX = 282

The values of mYUVX and mZVYX are unknown, but since they are supplementary angles, we do know that they add up to 180 degrees. Hence, we may replace mYUVX with 180 - mZUVX and mZVYX with 180 - mVYX:

(180 - mZUVX) + (4x - 5) = 282 + (180 - mVYX)

When we simplify this equation, we obtain:

4x - 5 + 180 - (4x - 5) = 282 + 180 - 282

More simplification results in:

175 = 78

No value of x is there:

To know more about Angle adding postulate visit:

brainly.com/question/29713158

#SPJ1

Answer:

I hope it will help you .

Sorry my handwriting is not good.

Answer:

E

Step-by-step explanation:

By the conjugate root theorem, both \(1+2i\) and \(1-2i\) are roots of \(f\).

Answer:

Step-by-step explanation:

The number of days that the second voyage last's is 480 days.

Given,

The discrepancy in the length of the two excursions, we are asked to determine how many days the second voyage lasted.

We initially assign variables in order to overcome this issue. Let the duration of the first cruise be f days and the duration of the second expedition be s days.

We are aware that the first journey lasted 43 days longer than the second.

In mathematics, f = 43 plus s. (I)

The cumulative duration of the two journeys was 1003 days. Mathematically:

f + s = 1003........(ii) (ii)

We transform I into ii

43 + s + s = 1003

43 +2s = 1003

2s = 1003 - 43

2s = 960

s = 960/2 = 480 days

That is,

The second voyage lasted about 480 days

Learn more about number of days here;

https://brainly.com/question/15030303

#SPJ4

The limit for the given equation: Ar3 - VB6 + 5 lim > 00 C3+1 (A,B,C >0) is 0.

To calculate this limit without using L'Hospital's Rule, we can simplify the expression first:

Ar3 - VB6 + 5
------------
C3+1

Dividing both the numerator and denominator by C3, we get:

(A/C3)r3 - (V/C3)B6 + 5/C3
--------------------------
1 + 1/C3

As C approaches infinity, the 1/C3 term becomes very small and can be ignored. Therefore, the limit simplifies to:

(A/C3)r3 - (V/C3)B6

Now we can take the limit as C approaches infinity. Since r and B are constants, we can pull them out of the limit:

lim (A/C3)r3 - (V/C3)B6
C->inf

= r3 lim (A/C3) - (V/C3)(B6/C3)
C->inf

= r3 (lim A/C3 - lim V/C3*B6/C3)
C->inf

Since A, B, and C are all positive, we can use the fact that lim X/Y = lim X / lim Y as Y approaches infinity. Therefore, we can further simplify:

= r3 (lim A/C3 - lim V/C3 * lim B6/C3)
C->inf

= r3 (0 - V/1 * 0)
C->inf

= 0

Therefore, the limit is 0.

To know more about L'Hospital's Rule refer here:

https://brainly.com/question/105479#

#SPJ11

The amount needed for retirement, rounded to the nearest cent, is option b. $398,407.85.

To determine the amount needed for retirement, we can use the present value formula for an annuity. In this case, we want to calculate the present value of the monthly withdrawals of $2,154 for 30 years, with a monthly interest rate of 5.1%.

First, we need to convert the interest rate to a monthly decimal rate. We divide 5.1% by 100 to get 0.051, and then divide it by 12 to get 0.00425.

Next, we use the formula: PV = PMT * (1 - (1 + r)^(-n)) / r, where PV is the present value, PMT is the monthly withdrawal amount, r is the monthly interest rate, and n is the total number of withdrawals.

Plugging in the values, we have:

PV = $2,154 * (1 - (1 + 0.00425)^(-12*30)) / 0.00425

Using a calculator, we find that PV is approximately $398,407.85.

Therefore, the amount needed for retirement, rounded to the nearest cent, is option b. $398,407.85. This amount will allow the individual to make monthly withdrawals of $2,154 for 30 years from an account paying 5.1% compounded monthly.

Learn more about interest rate here

https://brainly.com/question/30501640

#SPJ11

Answer:

(x+5) m

Step-by-step explanation:

Given that,

The area of a square shape, \(x^2+10x+25\)

We need to find the expression for the length of one side of the square.

The area of a square shaped object is given by :

\(s=x^2\)

x is side of the square

\(s=\sqrt{A} \\\\s^2=x^2+10x+25\\\\=x^2+5x+5x+25\\\\=x(x+5)+5(x+5)\\\\=(x+5)^2\\\\s=(x+5)\)

So, the sides of the square is (x+5) m.

Answer:

(x−5) ^2

Step-by-step explanation:

The correct answer is: b

8 points within any 36-month period

6 points within any 24-month period

4 points within any 12-month period

In most US states, drivers are assigned points for certain traffic violations or accidents. If a driver accumulates too many points within a certain period of time, they may be labeled as a "negligent operator" and face penalties such as license suspension or revocation. The point thresholds for being labeled as a negligent operator may vary by state, but the options given in the question are generally accurate.

To know more about negligent operator refer here:

https://brainly.com/question/28192448#

#SPJ11

The remainder from the division of p(x) = (x + √3)^16 by q(x) = x^2 + 1 is a polynomial of degree less than 2.

We perform polynomial long division by dividing (x + √3)^16 by x^2 + 1. The first step is to divide the leading term of the dividend by the leading term of the divisor, which gives us (x + √3)^16 / x^2. We obtain x^14√3 + x^12(3√3) + x^10(9√3) + ... + x^2(216√3) + x^0(648√3).

Next, we multiply the divisor, x^2 + 1, by x^14√3 and subtract it from the dividend. This cancels out the x^14√3 term. We repeat this process for each subsequent term, multiplying the divisor by the highest power of x in the dividend and subtracting it from the dividend.

Eventually, after all the terms have been canceled, we are left with a polynomial that does not contain x^2 or any higher powers of x. This remaining polynomial is the remainder. Since the degree of the divisor is 2, the remainder will have a degree less than 2.

Therefore, the remainder from the division of p(x) = (x + √3)^16 by q(x) = x^2 + 1 is a polynomial of degree less than 2.

To learn more about polynomial click here, brainly.com/question/11536910

#SPJ11

Answer:

28x - 16

Step-by-step explanation:

multiply in the brackets

5 × 5x = 25x, 5 × -2 = -10, 3 × x = 3x, 3 × -2 = -6

25x - 10 + 3x - 6

simplify by collecting like terms

25x + 3x = 28x

-10 - 6 = -16

final answer = 28x - 16

the equation for the level surface passing through the point (3, 0, 1) is x + 2y - 3z = 0. The given function is f(x, y, z) = (x - y + 2z) / (2x + y - z). We are asked to find an equation for the level surface passing through the point (3, 0, 1).

To find the equation for the level surface, we need to set the function equal to a constant value and solve for z.

Let's start by substituting the coordinates of the given point into the function:

f(3, 0, 1) = (3 - 0 + 2(1)) / (2(3) + 0 - 1)
           = 5 / 5
           = 1

So, the constant value for the level surface passing through (3, 0, 1) is 1.

Now, let's set the function equal to 1 and solve for z:

1 = (x - y + 2z) / (2x + y - z)

Cross-multiplying, we get:

2x + y - z = x - y + 2z

Rearranging the terms, we have:

x + 2y - 3z = 0

Therefore, the equation for the level surface passing through the point (3, 0, 1) is x + 2y - 3z = 0.

In summary, the equation for the level surface passing through the point (3, 0, 1) is x + 2y - 3z = 0.

To Know more about  function  Visit:

https://brainly.com/question/33611077

#SPJ11