Alberto changes 800 Argentine pesos (ARS) into dollars (S) when the rate is S1 - 3.8235 ARS
He spends $150 and changes the remaining dollars back into pesos when the rate is
SI - 3.8025 ARS.
Calculate the amount Alberto now has in pesos.

Answer: (3,1)

Step-by-step explanation: Use the midpoint formula

Answer:

219/16

Step-by-step explanation:

We can prove the formula given in the question as a theorem using the truth table method.

A Truth Table is referred to as a logic table that can be used to perform logic functions with some formulas. The logic functions that can be performed include Boolean algebra.

Let A, B, and C represent propositions. We construct a truth table as follows:

A B C (A → (B − C)) (B → (A → C))

T T T T T

T T F T F

T F T T T

T F F T T

F T T T T

F T F T T

F F T T T

F F F T T

From the truth table, we can see that the formula holds for all possible truth values of A, B, and C. Therefore, the formula is a theorem.

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Answer:

Step-by-step explanation:

15-10=5 degrees

Step-by-step explanation:

since we need to multiply only one equation with something, elimination might be a good method here. we bring both equations to 4x terms and then subtract the second from the first equation :

4x + 2y = 6

- 4x - 12y = 20

-----------------------

0 14y = -14

y = -1

=> e.g. in the second original equation

x - 3×-1 = 5

x + 3 = 5

x = 2

Answer:

All real numbers

Step-by-step explanation:

The domain of the function is the set of real values that can be substituted into a function to produce a valid output. Any real number can be substituted into the function (y = x), and produce a valid output. Thus, the domain is all real numbers.

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Answer:

C

Step-by-step explanation:

Answer:

25p+45<480

Step-by-step explanation:

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Hi, there!

 ______

\(\begin{tabular}{c|1} \boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}\)

(1)

 - The slopes of parallel lines are identical.

{The line \(\sf{y=7x-1}\) has a slope of 7}

Thus,

{The slope of the line that is parallel to the aforementioned line (whatever its equation happens to be) is \(\sf{7}\).}

(2)

 - The slopes of perpendicular lines are negative inverses of each other.

The negative inverse of 7 is

\(-\dfrac{1}{7}\).

Therefore,

\(\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-\dfrac{1}{7}} \end{cases}}\)

Hope the answer - and explanation - made sense,

happy studying!!                                                                 \(\tiny\boldsymbol{Frozen \ melody}\)

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

\(sin^4(x) + cos^4(x)\)

We can rewrite this as:

\((sin^2(x))^2 + (cos^2(x))^2\)

Now we can add and subtract cos^2(x)*sin^2(x) to get:

\((sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)\)

We can complete squares to get:

\((cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2\)

and we know that:

cos^2(x) + sin^2(x) = 1

then:

\(1 - 2*sin(x)^2*cos(x)^2\)

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

\(1 - \frac{sin^2(2*x)}{2}\)

Then the simplification is:

\(cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}\)

Answer:

Step-by-step explanation:

The pairs of angles referenced in statements 1 and 2 are "corresponding" angles, so the Corresponding Angle Postulate applies.

The Reflexive Property is what says something is the same as itself. This is used in statement 3.

The upshot of the AA Similarity postulate is to say triangles are similar (as in statement 4).

A dot plot would show 7 points for numbers greater than 2 and a histogram would have a maximum of 7 bars. Hence, Both statements b and d are true about a graph representing the data.

Statement b: A dot plot would show 7 points for numbers greater than 2. This is true because there are 7 data points (2, 3, 4, 4, 4, 5, 6) in the data set that is greater than 2.

Statement d: A histogram would have a maximum of 7 bars. This is because there are 7 unique values in the data set (0, 1, 2, 3, 4, 5, 6), and each unique value would correspond to a bar in the histogram.

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Answer:

-244

Step-by-step explanation:

(4)(−2)−(−2)(8)−4−248

Answer:

8

Step-by-step explanation:

ab - bc

(4)(-2) - (-2)(8)

= 8

Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

The value of the longest of the four side lengths is 13 meters.

Let us assume the smallest side of quadrilateral be x. The consecutive sides of quadrilateral will be (x + 1), (x + 2) and (x + 3). As per the known fact, the perimeter is the sum of all the sides of quadrilateral.

x + x + 1 + x + 2 + x + 3 = 42

Performing addition on Left Hand Side of the equation

4x + 6 = 42

Shifting 6 to Right Hand Side of the equation

4x = 42 - 6

Performing subtraction on Right Hand Side of the equation

4x = 36

Shifting 4 to denominator on Right Hand Side of the equation

x = 36 ÷ 4

Performing division Right Hand Side of the equation

x = 9 meters

Longest side of quadrilateral = x + 4

Longest side of quadrilateral = 9 + 4

Longest side of quadrilateral = 13 meters

Therefore, the longest side of quadrilateral is 13 meters.

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Answer: serbia

Step-by-step explanation:

n+23=33 - This equation shows this relationship.

Let, one number be = n

another number is =23

The sum of two numbers is = 33

The sum is the result of adding two or more numbers in mathematics. It is an essential and valuable concept in mathematics. The numbers which are to be added are called addends.

In short, some can be defined as a way by which all things can be put together. We can show an equation of a sum horizontally or vertically.

Horizontal Addition :

     59+37=96

Vertical addition:

    59

   +37

   = 96

Therefore, the equation is:  n+23 =33

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Answer:-1

Step-by-step explanation: It’s seen as a pattern going back and forth between a few answers.

Answer:

It's -1.

Step-by-step explanation:

i has no value but if you multiply it by itself 30 times you get -1. Imaginary numbers are great, I know.

Answer:

1) \(\displaystyle \frac{25\pi}{21}\) cubic units

2) \(\displaystyle \frac{22\pi}{15}\) cubic units

Step-by-step explanation:

Problem 1

Because our axis of rotation is not the x-axis, we must use the washer method, which is \(\displaystyle A=\pi\int\limits^b_a \bigr[{\text{(Outer Radius)}^2-\text{(Inner Radius)}^2)}\bigr] \, dx\).

If we plot the graphs of each function, we see that \(y=x\) is our outer function, and \(y=x^3\) is our inner function. If we set the equations equal to each other, we can get our bounds of integration where the equations intersect, which are \(a=0\) to \(b=1\).

Taking into consideration our axis of revolution is \(y=-2\) and NOT \(y=0\), the x-axis, the outer radius would be \(-2-x\), and our inner radius would be \(-2-x^3\).

Putting everything together, we calculate the definite integral:

\(\displaystyle A=\pi\int\limits^b_a \bigr[{\text{(Outer Radius)}^2-\text{(Inner Radius)}^2)}\bigr] \, dx\\\\A=\pi\int\limits^1_0 \bigr[(-2-x)^2-(-2-x^3)^2}\bigr] \, dx\\\\A=\pi\int\limits^1_0 \bigr[(x^2+4x+4)-(x^6+4x^3+4)}\bigr] \, dx\\\\A=\pi\int\limits^1_0 \bigr[x^2+4x-x^6-4x^3}\bigr] \, dx\\\\A=\pi\int\limits^1_0 \bigr[-x^6-4x^3+x^2+4x}\bigr] \, dx\\\\A=\pi\biggr[-\frac{x^7}{7}-x^4+\frac{x^3}{3}+2x^2\biggr]^1_0\\\\A=\pi\biggr[-\frac{(1)^7}{7}-(1)^4+\frac{(1)^3}{3}+2(1)^2\biggr]\)

\(\displaystyle A=\pi\biggr[-\frac{1}{7}-1+\frac{1}{3}+2\biggr]\\\\A=\pi\biggr[-\frac{3}{21}-\frac{21}{21} +\frac{7}{21}+\frac{42}{21}\biggr]\\\\A=\frac{25\pi}{21}\approx3.74\:\text{cubic\:units}\)

Problem 2

The shell method for revolving the area between the two curves \(f(x)\) and \(g(x)\) about \(x=h\) is \(\displaystyle A=2\pi\int\limits^b_a {(x-h)\bigr[f(x)-g(x)\bigr]} \, dx\) where \(f(x)\geq g(x)\).

By graphing the two equations, we can see that \(f(x)=\sqrt{x}\) is the upper function, and \(g(x)=x\) is the lower function. If we set the two equations equal to each other and find the points of intersection, we can determine our bounds of integration. Since they intersect at points \((0,0)\) and \((1,1)\), our bounds of integration will be \(a=0\) to \(b=1\).

Since our axis of revolution is \(x=-4\) and NOT \(x=0\), the y-axis, we must account for this as indicated in the above equation.

Putting everything together, we can calculate the definite integral:

\(\displaystyle A=2\pi\int\limits^b_a {(x-h)\bigr[f(x)-g(x)\bigr]} \, dx\\\\A=2\pi\int\limits^1_0 {(x-(-4))\bigr[\sqrt{x}-x\bigr]} \, dx\\\\A=2\pi\int\limits^1_0 {(x+4)\bigr[\sqrt{x}-x\bigr]} \, dx\\\\A=2\pi\int\limits^1_0 {\bigr[x\sqrt{x}-x^2+4\sqrt{x}-4x\bigr]} \, dx\\\\A=2\pi\int\limits^1_0 {\bigr[x^\frac{3}{2} -x^2+4x^{\frac{1}{2}}-4x\bigr]} \, dx\\\\A=2\pi\biggr[\frac{2x^\frac{5}{2} }{5}-\frac{x^3}{3}+\frac{8x^\frac{3}{2}}{3}-2x^2\biggr]^1_0\)

\(\displaystyle A=2\pi\biggr[\frac{2(1)^\frac{5}{2} }{5}-\frac{(1)^3}{3}+\frac{8(1)^\frac{3}{2}}{3}-2(1)^2\biggr]\\\\A=2\pi\biggr[\frac{2}{5}-\frac{1}{3}+\frac{8}{3}-2\biggr]\\\\A=2\pi\biggr[\frac{2}{5}+\frac{7}{3}-2\biggr]\\\\A=2\pi\biggr[\frac{6}{15}+\frac{35}{15}-\frac{30}{15}\biggr]\\\\A=2\pi\biggr[\frac{11}{15}\biggr]\\\\A=\frac{22\pi}{15}\approx4.61\:\text{cubic\:units}\)

Answer:

Susan spilled 1/6 of a gallon of lemonade.

Step-by-step explanation:

Since Susan was carrying a pitcher that contained 2/3 of a gallon of lemonade to the table for lunch, and she slipped and spilled 1/4 of the lemonade in the pitcher, to determine what fraction of a gallon of lemonade did she spill the following calculation must be performed:

2/3 = 0.6666

0.666666 x 1/4 = X

0.166666 = X

0.166666 = 1/6

Therefore, Susan spilled 1/6 of a gallon of lemonade.

Like usual, we can solve this question using an equation. Let’s assume that John’s age is x, and his sister’s age is y.

x = 2y

To figure out John’s age, we need to know his sister’s age. He’s 2 times older than his sister.

x + y = 27

The sum of their ages is 27, and we can substitute the value of x here to figure out y.

2y + y = 27

We can now simplify this, and get y by itself.

3y = 27

Now, we can divide by 3 to get the y by itself.

y = 9

We now know that John’s sister is 9.

Now, using our original equation, we can substitute in the value of y.

x = 2(9)

We can simplify this.

x = 18

John’s age is 18!

Hope this helps.

Answer:

I think its d

Step-by-step explanation:Because i think that.

Answer:

x = 8

Step-by-step explanation:

The ratio between the traingle is

2:3

x:12

3*4 = 12

2*4 = 8

8:12

Answer:

Step-by-step explanation:

Answer:

the domain is "the set of all real numbers."

the range of the given function is (5, infinity)

Step-by-step explanation:

This is an exponential function.  For the sake of clarity you must enclose "x - 2" inside parentheses:  f(x) = 2(3)^(x-2).  This function is defined for all real x-values, so the domain is "the set of all real numbers."  

Focusing on  (3)^x:  This has the same shape as the basic exponential y = e^x; the graph starts in Quadrant II and increases with x, more and more rapidly as you pass x = 0.  The functions y = e^x and that of y = 3^x are always positive.  Likewise in the case of f(x) = 2(3)^(x-2):  the function is always positive.  If we look at f(x) = 2(3)^(x-2) alone, we conclude that the domain is (0, infinity).  But that " + 5 " in y=2(3)^(x-2) + 5 translates the entire graph of f(x) = 2(3)^(x-2) upward by 5 units.

Thus, the range of the given function is (5, infinity).

Answer:

\( (180 - 2x)\degree \)

Step-by-step explanation:

In circle with center O, \( m\angle BCD = x\degree ... (given) \\\)

By inscribed angle theorem:

\( m\angle BCD= \frac{1}{2} \times m\widehat {BD} \\

\therefore x\degree = \frac{1}{2} \times m\widehat {BD} \\

\therefore \widehat {BD} = 2x\degree \\

\because m\widehat {BCD}+m\widehat {BD}= 360\degree \\(By\: arc\: sum\: postulate\: of\: a \: circle) \\

\therefore m\widehat {BCD}+2x\degree = 360\degree \\

\therefore m\widehat {BCD} = 360\degree - 2x\degree \\\\

\because m\angle BAD = \frac{1}{2}(m\widehat {BCD} - m\widehat {BD}) \\\\

\therefore m\angle BAD = \frac{1}{2}(360\degree - 2x\degree - 2x\degree) \\\\

\therefore m\angle BAD = \frac{1}{2}(360\degree - 4x\degree ) \\\\

\therefore m\angle BAD = \frac{1}{2}\times 2(180\degree - 2x\degree \\\\

\red {\boxed {\bold {\therefore m\angle BAD =(180- 2x)\degree}}} \\\\\)

Answer in its simplest form. = ∠BAD  = 180° - \(\bold {2x}\)

B, C and D are points on a circle, center O.

AB and AD are tangents to the circle

We have to find an expression for the size of ∠BAD in terms of x.

∠BCD = x ( Given )

Expression for the size of ∠BAD in terms of x can be derived from the following steps

Center angle is twice the angle inscribed at the arc of a circle .

∠BCD =(1/2) ∠ BOD

\(x =\) (1/2) ∠ BOD

\(\bold{2x}\) = ∠ BOD ........ (1)

So in quadrilateral BODA

∠BOD + ∠ BAD  = 180° ........(2)  ( By two tangent theorem)

Since ∠ ODA = 90 °

         ∠ OBD = 90 °

From Equation (1) and (2)

∠BAD  = 180° - \(\bold {2x}\)

Answer in its simplest form is  given by the expression given as follows ∠BAD  = 180° - \(\bold {2x}\)

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To find the value of the angles we must take as reference the angles that have their value.

To find the value of the missing angles we must take as reference the angles that are labeled with their value. Additionally, we must take into account that the internal angles of a triangle must add up to 180° and the angles of a straight line are 180°. According to the above, the missing angles are:

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Answer: 6/32 or .1875

Step-by-step explanation:

There are 6 numbers between 2 and 33 that are either squares or cubes

Square 4,9,16,25

Cube 8,27

Therefore the probability of getting a squared or cubed number is 6/32 or 0.1875

The average T2, T7, T6, T4, and T10 in Processor 1

T8, T9, T3, T1, and T5 on Processor 2.

Work on tasks t2, t7, t6, t4, and t10 will be done by processor 1. The first task to be finished is task t2, followed by tasks t7, t6, t4, and lastly t10. Work on tasks t8, t9, t3, t1, and t5 will be done by processor 2. The first work to be finished is task t8, followed by t9, t3, t1, and ultimately t5. In order to finish the job quickly, both processors will cooperate, with Processor 1 concentrating on the early tasks and Processor 2 concentrating on the later duties. This guarantees that the project is finished on schedule and that all the tasks are carried out in the proper order.

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Answer:

2118+3391+4785+6354= 16648

Step-by-step explanation: