(6) Evaluate the iterated integral. 1 2x (a) ["L" (x + 2y) dy de + (b) [" \"o sin(ro) dr do 0 0

Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than that of the least favorable exchange rate.

It is the factor by which currency conversion of two countries is done.

The most Favorable day is Friday because the exchange rate on Friday is the highest.

So, Mary will receive on Friday= 311.75 x 92.7120 x 94/100

Mary will receive on Friday(a)=27168.788 Yen

The least Favorable day is Wednesday because the exchange rate on Wednesday is the least.

So, Mary will receive on Wednesday= 311.75 x 87.5507 x 94/100

So, Mary will receive on Wednesday(b)= 25,656.2949 Yen

Difference between (a) and (b) = 1512.4931 Yen

Hence, Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate.

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Answer:

Part D is the correct option as square root of 40 is not greater than 7

Answer:

3 2/4

Step-by-step explanation:

3.5 or just 3 if you round

The correct option is C, The given graph represents the rational function   \(\frac{1}{(x-1)(x-2)}\).

Mathematicians use graphs to variable logically depict or chart sentences or values in a visual way. Usually, a graph point shows the connection between two or more objects. A graph is a particular kind of non-linear side chain up of parts known as nodes as well as lines. The borders, also referred to as nodes, should be joined together with glue. The node numbers in this graph are 1, 2, 3, and 5.

Upon solving the given function,

\(\frac{1}{(x-1)(x-2)}\),

As, it is clear from the function that the value of x cannot be 1 or 2,

So,

The graph doesn't lie on x = 1 or x = 2.

So, it is the correct option.

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The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

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After solving the word problem,  the change in the number of shares of stock he owns, is x-96.

In the given question we have to find  the change in the number of shares of stock he owns.

As given that Eric owns shares of a certain stock. If he sells off 8 shares each month for a year.

Let Eric owns x shares of a certain stock.

If he sells off 8 shares each months for a year.

So as we know that in a year have 12 months.

In 1 month = 8 shares sells

12 months = 12×8 shares sells

12 months = 96 shares sells

So in a year Eric sells 96 shares and he have total x shares.

So the remaining shares are x-96.

Hence, the change in the number of shares of stock he owns, is x-96.

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The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

Given function is,f(t) ={ t, 0 < t < π π < t < 2π}

where f(t + 2 π) = f(t)

Let's take Laplace Transform of f(t)

                     L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)

∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}

     ⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0

when e^{2πs} ≠ 1 ⇒ s ≠ 0

∴ The Laplace Transform of f(t) is

                       L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                               = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...

                              = (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

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Answer: B (40,320)

Step-by-step explanation:

I am learning the same stuff.

But you take 8 to the factorial (!) and you end up getting 40,320

Answer:

47 years old.

Step-by-step explanation:

Let c represent each children, 'f' represent the father and 'm' represent the mother. We are given that:

\(4c=15*4=60\ years\\f=m+4\\\frac{4c+m+f}{6}=25\)

Replace the first two equations into the last to solve for 'f':

\(\frac{60+(f-4)+f}{6}=25 \\2f=(25*6)-60+4\\f=47\ years\)

The father is 47 years old.

False. When linearizing exponential data using logarithms, the data will become linear and the r²-value of the regression line will likely increase.

The logarithm transformation of the data will help to better fit the data with a linear regression line, since linear regression is used to fit linear data. Therefore, the use of logarithms can actually increase the r²-value of the regression line, not decrease it.

It is important to note that the r²-value does not necessarily indicate the accuracy of the model, but rather how well the model fits the data.

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A pair of shoes cost on Monday that cost $40 on Thursday is $39.6

What is Marked price ?

the price at which the product is listed to be sold. There can be some discount given on this price, so the actual selling price may be less than the marked price.

Lou increases the marked price of shoes by 10% on $40 therefore the increased marked price of shoes will be given as :

110% of $40 = $44

Now, on Monday we is giving 10% discount on new listed marked price that is $44

therefore, the cost price of the shoes will be given as :

90% of $44 = $39.6

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Answer:

Step-by-step explanation:

See image

The radius is approximately 3.78 inches.

We can solve the question using the formula for the surface area of a sphere:

S=4πr^2

We are given that the surface area is 225 square inches, so we can substitute this value into the formula and solve for r:

\(225=4\pi r^2\frac{225}{4\pi}\)

      = r^2

r={{225}{4π}}

approx  3.78

A sphere does not have any edges or vertices, like other 3D shapes. The points on the surface of the sphere are equidistant from the center.

Hence, the distance between the center and the surface of the sphere are equal at any point. This distance is called the radius of the sphere.

The Radius of a circle or sphere is equal to the Diameter divided by 2.

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The total capacity of the bank is 40 customers per hour.

Given, we have 4 tellers in a bank and each teller takes 6 minutes to server 1 customer. We can calculate how many customers 1 teller serves  in 1 hour by Unitary Method :

⇒ 6 mins = 1 customer

Taking 6 to Right hand side of the equation:

⇒ 1 min = (1/6) customer

∴ In 60 mins = (1/6) x 60 customers

⇒ 10 customers

Hence, 1 teller can serve 10 customers in an hour (60 mins).

Now, the bank has a total of 4 tellers, we can simply find the total capacity of the bank by multiplying the the number of customers served by 1 teller in an hour by 4.

Therefore, total capacity of the bank is  : 4 x 10 = 40 customers per hour.

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Answer: The decreasing interval is

Step-by-step explanation:

Answer:

The decreasing interval is

Step-by-step explanation:

Answer:

19.87 ft

Step-by-step explanation:

cross multiply

5/7.8*x/31

31*5=155

7.8*x=7.8x

155/7.8=19.87

x=19.87 ft

The given function shows imply that the graph g(x) is shifted two units right and three units up.

Option B is correct.

The transformation of a function occurs in a fancy way such that a function maps itself. f: x → x.

From the given information:

Let's take a look at the function f(x) that goes through 0 just when x = 0. Now we want to move it to the right by 2. It implies that it has to go through 0 when x = +2.

Now, we have to add 2 to x, then the function becomes f'(x) = f(x-2) will be shifted by 2 units to the right.

Similarly, the same scenario occurs when shifting up. Again imagine your function passes 0 when x = 0.  We have to add 3. Now, the function f’’(x) = f(x) + 3 will be shifted by 3 units up.

Combining the two transformations, we have:

Therefore, we can conclude that the function implies that the graph g(x) is shifted two units right and three units up.

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Answer:  A & C

Step-by-step explanation:

HL is Hypotenuse-Leg

A) the hypotenuse from ΔABC ≡ the hypotenuse from ΔFGH

   a leg from ΔABC ≡ a leg from ΔFGH

   Therefore HL Congruency Theorem can be used to prove ΔABC ≡ ΔFGH

B) a leg from ΔABC ≡ a leg from ΔFGH

   the other leg from ΔABC ≡ the other leg from ΔFGH

   Therefore LL (not HL) Congruency Theorem can be used.

C) the hypotenuse from ΔABC ≡ the hypotenuse from ΔFGH

   at least one leg from ΔABC ≡ at least one leg from ΔFGH

   Therefore HL Congruency Theorem can be used to prove ΔABC ≡ ΔFGH

D) an angle from ΔABC ≡ an angle from ΔFGH

   the other angle from ΔABC ≡ the other angle from ΔFGH

   AA cannot be used for congruence.

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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Answer:

The answer is A. g(x)=(1^4x)²

Step-by-step explanation:

See the explanation photo

Answer:

the point of intersection would be (2,2)

The point of intersection is at (2, 2)

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the line with equations:

y = 3 x − 4  and y = 1/ 2x + 1

Plotting the graphs using geogebra online tool, the point of intersection is at (2, 2)

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Answer : The integral value is: ∫∫sin(r^2) dr dθ = -π(cos(49) - cos(9))

Given:  we have 3 ≤ r ≤ 7.

The integral becomes: ∫∫sin(r^2) dr dθ

with r ranging from 3 to 7 and θ ranging from 0 to 2π.

Now we can evaluate the integral:

∫(0 to 2π) dθ ∫(3 to 7) r sin(r^2) dr

To solve the inner integral, we use substitution. Let u = r^2, so du = 2r dr.

Then: (1/2)∫(9 to 49) sin(u) du = [-(1/2)cos(u)](9 to 49) = -(1/2)[cos(49) - cos(9)]

Now, evaluate the outer integral:

∫(0 to 2π) [-(1/2)(cos(49) - cos(9))] dθ = -[(1/2)(cos(49) - cos(9))][θ](0 to 2π)

= -(1/2)(cos(49) - cos(9))(2π - 0) = -π(cos(49) - cos(9))

So the integral value is:

∫∫sin(r^2) dr dθ = -π(cos(49) - cos(9))

Answer:

x= < (y+9+7x)/7>

Step-by-step explanation:

first, add 9 to both sides of the equation. Then, subtract 7z on both sides and after that, divide by 7 for both sides.

Answer:

x=y+7z+9/7

Step-by-step explanation:

Answer:

A 20

Step-by-step explanation:

If you subtract 89.99 -68.25 you will equal 20

Step-by-step explanation:

divide 1 by seven in long division it will be 0.142857 then it repeat it self ...so to the nearest thousand is 0.143

Answer:

Step-by-step explanation:

As given by the question,

There are given that the equation:

Now,

First, suppose any number, for which the given equation has satisfied.

So, the number is, x = 2 and y = 6

Then,

Put both values into the given equation

Then,

Put the same value of x and y into the given option and check whether it is satisfied:

So,

From option 3:

Hence, the correct option is 3.

The  slope of the line that passes through the points (9, -5) and (-1, -9) is 2/5

The formula for calculating the slope of a line is expressed as;

Slope = y2-y1/x2-x1

Substitute the coordinates

Slope = -9+5/-1-9
Slope = -4/-10

Slope = 2/5

Hence the  slope of the line that passes through the points (9, -5) and (-1, -9) is 2/5

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