PLEASE HELP 25 POINTS, state the slope

1. To obtain the graph of g(x) = 2x + 7 from the graph of f(x), we need to perform a translation of the graph of f(x).

Graph is a type of visual representation of data that is used to show the relationship between two or more variables. It is a pictorial representation of data that is used to identify trends, patterns, and correlations. Graphs can be used to compare different sets of data or to show the change in data over a period of time. Graphs can be used to represent data in various forms, including bar graphs, line graphs, scatter plots, histograms, and pie charts. Graphs are a powerful tool for understanding complex data and can be used to make predictions about future trends and behavior.

2. A translation of a graph is a transformation that moves the graph left, right, up, or down without changing its shape.

3. To translate the graph of f(x) up 7 units, we need to add 7 to the y-coordinates of the points on the graph of f(x).

4. This will move the graph of f(x) up 7 units, and the resulting graph will be the graph of g(x) = 2x + 7.

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The solution to the given problem is given by

(a) x = 202.2921 USD

(b) y = 95.8132 USD

To solve for the values of x and y in the given arbitrage strategy, let's analyze each step:

1. Borrow x USD at 1.91% today, with a total loan repayment obligation after one year of (1+1.91%)x USD.

2. Convert y USD into CAD at the spot rate of 1.49. This gives us an amount of y * 1.49 CAD.

3. Lock in the 3.79% rate on the deposit amount of 1.49y CAD. After one year, the deposit will grow to \((1+3.79\%) * (1.49y) CAD.\)

4. Simultaneously, enter into a forward contract that converts the full maturity amount of the deposit into USD at the one-year forward rate of USD = 1.41 CAD.

The strategy generates 100 USD today and nothing otherwise. We can set up an equation based on the arbitrage condition:

\((1+1.91\%)x - (1+3.79\%) * (1.49y) * (1/1.41) = 100\ USD\)

Simplifying the equation, we have:

\((1.0191)x - 1.0379 * (1.49y) * (1/1.41) = 100\)

Now we can solve for x and y by rearranging the equation:

\(x = (100 + 1.0379 * (1.49y) * (1/1.41)) / 1.0191\)

Simplifying further:

\(x = 99.0326 + 1.0379 * (1.0574y)\)

From the equation, we can see that x is dependent on y. Therefore, we cannot determine the exact value of x without knowing the value of y.

To find the value of y, we need to set up another equation. The total amount in CAD after one year is given by:

\((1+3.79\%) * (1.49y) CAD\)

Setting this equal to 100 USD (the initial investment):

\((1+3.79\%) * (1.49y) * (1/1.41) = 100\)

Simplifying:

\((1.0379) * (1.49y) * (1/1.41) = 100\)

Solving for y:

\(y = 100 * (1.41/1.49) / (1.0379 * 1.49)\\\\y = 100 * 1.41 / (1.0379 * 1.49)\)

\(y = 95.8132\ USD\)

Therefore, the values are:

(a) \(x = 99.0326 + 1.0379 * (1.0574 * 95.8132) ≈ 99.0326 + 103.2595 ≈ 202.2921\ USD\)

(b) \(y = 95.8132\ USD\)

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Answer:

116.663333333 repeating

Step-by-step explanation:

do 349.99 divided by 3

Answer:

7866

Step-by-step explanation:

thanks i guess

Answer:

n-8666

Step-by-step explanation:

or 7755

The statement that is true is "the study is observational and lacks control of too many lurking variables" and "the study should be replicated with other populations."Here are the reasons why:

The study is observational and lacks control of too many lurking variables:

This statement is true since the study was done with people who used turmeric in the meals they consume. There are a lot of things that could affect the difference in mileage walked by the turmeric users compared to those who do not consume it. For instance, the intensity of exercise, lifestyle, and overall diet could have been contributing factors. Thus, there is no guarantee that turmeric is solely responsible for the difference in miles walked.

The study should be replicated with other populations:

This statement is true since the study was carried out with a small sample size and in one geographic location. This means that there is a possibility that the results were just unique to that region. Replicating the study in a different location would help to establish the generalizability of the results and whether or not they are consistent across populations.

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If no sheets of plywood are bought and 220 units of currency are available, it is possible to buy 44 sheets of drywall.

Two or more expressions with an Equal sign is called as Equation.

Given that the equation 5 x + 22y=220 represents the number of sheets of drywall x and sheets of plywood y that can be bought with 220

If no sheets of plywood are bought, the equation 5x + 22y = 220 simplifies to 5x = 220, since 22y = 0 when y = 0.

We can isolate x on one side of the equation by dividing both sides by 5:

5x = 220

Divide both sides by 5.

x = 220/5

Divide numerator and denominator by five.

x = 44

Therefore, if no sheets of plywood are bought and 220 units of currency are available, it is possible to buy 44 sheets of drywall.

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The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Given that the are of the great circle is 227 km^2.

The hemisphere is the half of a sphere, the surfsce area wiill be:

SA= (1/2)surface area of the sphere+ base area

the curve surface area will be:

and we know that the base area is:

substituting:

The surface area is: 680.96 square kilometers.

The volume of the solid obtained by rotating the region bounded by the curves y = x^2, x = 0, and y = 1 about the y-axis is π/2 cubic units.

The solid obtained by rotating the region bounded by the curves y = x^2, x = 0, and y = 1 about the y-axis can be found using the method of disks or washers.

To use the method of disks, we can imagine dividing the region into thin vertical strips, each with width dx. The volume of each disk is then πy^2dx, where y is the distance from the strip to the axis of rotation (which is the y-axis in this case). We can find y in terms of x by solving y = x^2 for x, which gives x = sqrt(y).

Thus, the volume of each disk is π(sqrt(y))^2dx = \(\pi ydx\). Integrating from y = 0 to y = 1, we get the total volume of the solid as π∫(0 to 1) \(ydx\).

Using the power rule of integration, this simplifies to π[x^2/2] from 0 to 1, which equals π/2.

To use the method of washers, we can imagine dividing the region into thin horizontal strips, each with height \(dy\). The volume of each washer is then π(R^2 - r^2)\(dy\), where R is the outer radius (which is 1 in this case) and r is the inner radius. The inner radius is simply the distance from the strip to the y-axis, which is x.

Using the equation y = x^2, we can solve for x in terms of y to get x = sqrt(y).

Thus, the inner radius is sqrt(y) and the volume of each washer is π(1^2 - (sqrt(y))^2)\(dy\) = π(1 - y)\(dy\). Integrating from y = 0 to y = 1, we get the total volume of the solid as π∫(0 to 1) (1 - y)\(dy\).

Using the power rule of integration, this simplifies to π[y - y^2/2] from 0 to 1, which equals π/2.

Therefore, the volume of the solid obtained by rotating the region bounded by the curves y = x^2, x = 0, and y = 1 about the y-axis is π/2 cubic units, regardless of which method we use.

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Answer:

Step-by-step explanation:

y=mx + b

substitute the values

y = (-3/2)x + 4

multiply both sides of the equestion by 2

The probability that an incoming call is for firefighting equipment (or any other reason besides medical assistance) is 0.33 or 33%.

The statement "the probability that an incoming call is for medical assistance is 0.67" can be expressed as:

P(Medical Assistance) = 0.67

This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.67 or 67%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:

P(Not Medical Assistance) = 1 - P(Medical Assistance) = 1 - 0.67 = 0.33

In science, the probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability

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Answer:

real, rational

Step-by-step explanation:

The set to which the fraction 5/8 belongs to are real numbers and rational numbers.

A real number is a number that is both a rational number and an irrational number. A rational number is a number that can be expressed as a fraction of two integers

Examples of rational numbers are 1, 0, - 1, 5/8.

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By evaluating the expression for s(tB), we can determine whether driver A crossed the finish line before or after driver B. If s(tB) is positive, it means driver A crossed the finish line before driver B. If s(tB) is negative, it means driver A crossed the finish line after driver B.

To solve the initial value problem, we start with the equation vA'(t) = -k(vA(t))^2, where vA'(t) represents the derivative of vA with respect to t.

This equation describes the deceleration of driver A, proportional to the square of his remaining speed. Rearranging and solving the differential equation, we get vA(t) = 1 / (kt + C), where C is a constant determined by the initial conditions.

To find the expression for s(t), we integrate vA(t) with respect to t: s(t) = ∫(1 / (kt + C)) dt. Integrating this expression gives us s(t) = (1/k) ln(kt + C) + D, where D is another constant determined by the initial conditions.

At t = t1 (when driver A's speed is halved, i.e., one mile after running out of gas), we have vA(t1) = vA(0) / 2. Plugging this into the expression for vA(t) from step 1, we find 1 / (k * t1 + C) = (1 / (k * 0 + C)) / 2. Simplifying, we get k = ln(2) / t1.

Using the expression for s(t) from step 2, we can find tB by settings S(tB) = 3 (since driver A was leading by 3 miles). Simplifying this equation, we find tB = (e^(3k) - C) / k. Plugging in the value of k we found in step 3, we have tB = (e^(3ln2 / t1) - C) / (ln2 / t1).

To evaluate s(tB), we substitute t = tB into the expression for s(t) from step 2, resulting in s(tB) = (1/k) ln(ktB + C) + D. Since tB depends only on vB and t1, and C and D are constants determined by the initial conditions, s(tB) depends only on vB.

If s(tB) is positive, it means driver A crossed the finish line before driver B. If s(tB) is negative, it means driver A crossed the finish line after driver B.

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push ups Step-by-step explanation:

The exact values of the trigonometric functions are (a) cos(19π/6) = √3/2,

(b) cos(-7π/6) = -√3/2, (c) cos(-11π/6) = -√3/2

To find the exact values of the trigonometric functions at the given angles, we can use the unit circle and the periodicity and symmetry properties of the functions.

(a) cos(19π/6):

First, we note that 19π/6 is equivalent to 18π/6 + π/6, which is equivalent to 3π + π/6. Since cosine has period 2π, we can reduce 3π to π and write:

cos(19π/6) = cos(3π + π/6) = cos(π/6) = √3/2

(b) cos(-7π/6):

We can use the symmetry property of cosine to write:

cos(-7π/6) = cos(π - 7π/6) = -cos(π/6) = -√3/2

(c) cos(-11π/6):

We can again use the symmetry property of cosine to write:

cos(-11π/6) = cos(π - 11π/6) = -cos(π/6) = -√3/2

Therefore, the exact values of the trigonometric functions are:

(a) cos(19π/6) = √3/2

(b) cos(-7π/6) = -√3/2

(c) cos(-11π/6) = -√3/2

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The solutions to the equation are x= -9 and x = 6

From the information given, we have that;

|x2 + 9x| = 6x + 54

To solve the quadratic equation, collect the like terms, we have;

x² + 9x - 6x = 54

subtract the terms

x² + 3x = 54

Put in standard form

x² + 3x - 54 = 0

Find the pair factors of -54 that add up to give 3 and substitute the values

x² + 9x - 6x - 54 = 0

group in pairs

(x² + 9x) - (6x - 54) = 0

factorize the expressions

x(x + 9) - 6(x + 9) = 0

Then, we have;

x- 6 = 0

x = 6

x + 9 = 0

x = -9

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The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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Answer:

part a is b part b is 230 tell me if im wrong

Step-by-step explanation:

Step-by-step explanation:

Let x represent the number of correct answers School A gave.

Then x is also the number of incorrect answers School A gave and the number of correct answers School B gave.

Final score of School A

= 165 + 12x - 5x.

Final score of School B

= 65 + 12x

Hence the correct equation is

12x - 5x + 165 = 12x + 65. (B)

=> 7x + 165 = 12x + 65

=> 5x = 100

=> x = 20

Hence Schools A and B got 20 correct answers each.

Answer:

7.99/19= 0.42052631578

about 0.42 per pound

Step-by-step explanation:

The scale factor of the smaller figure to the larger figure is 4:11 (option A)

Given:

The volume of the smaller rectangular prism = 64 in^3

The volume of a larger rectangular prism = 1331 in^3

The prisms are similar

To find:

the scale factor of the smaller figure to the larger figure

For similar shapes, the scale factor of the shapes when the volumes are given:

The scale factor of the smaller figure to the larger figure is 4:11 (option A)



Answer:

The answer is

\(c = \frac{3m + 5k}{2} \)

Step-by-step explanation:

You have to move all the unrelated terms to the other side :

\(3m = 2c - 5k\)

\(3m + 5k = 2c\)

\(2c = 3m + 5k\)

Next you have to divide it by 2 :

\(c = \frac{3m + 5k}{2} \)

The solution is, the Sale Price is $ 35.7.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

Original Price : $42

Percent of Discount : 15%

so, discount = 42 * 15%

                    =6.3

i.e. Sale Price: = 42 - 6.3

                        =$ 35.7

Hence, The solution is, the Sale Price is $ 35.7.

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Answer:

49.5 $

Step-by-step explanation:

Comencemos por lo siguiente:

Si llamamos  x al precio del  par de zapatos  y  "y"  al precio de cada pantalón, entonces la tienda ofrece:

un par de zapatos   x    más dos pantalones   2*y  en  70.000 $  (deben ser 70 $ pero esa cifra no importa a los fines de resolver el problema, habrá solo que hacer el ajuste correspondiente, en lo que aqui respecta hablaremos de 70 $)

Entonces  de acuerdo a lo expuesto

x  +  2y  =  70         or    y  =  ( 70 - x) /2      (1)

Esa es la condición inicial.

Ahora bién  Juan paga por tres pantalones  38.25 $

Eso quiere decir ( como los pantalones son iguales) que pago 38.25/3 por cada pantalón

38.25/3  =  12.75 $

Ahora bién ese precio tubo una rebaja del precio original del 15 % ( quiere decir que el precio original de cada pantalón es de

12.75/0.85  =  15 $            x =  15 $

Entonces si nos vamos a la ecuación (1) (alli los precios son originales) tenemos que

y  =  ( 70  - x ) / 2       y  =  ( 70 - 15 ) / 2    y  = 55/2     y  =  27.5 $

Ahora Juan paga por dos pares de zapatos donde según las ofertas de la tienda el debera tener un descuento del 10 % en cada par

Por lo que si  un par cuesta  27.5 $  le darán un descuento del 10% es decir pagará  27.5 *0.9 =   24.75  por cada par, como son dos pares

pagará 2 * 24.75  =   49.5 $

Answer:

the answer is A

Step-by-step explanation:

The case in which the triangle can be drawn are

the triangle is most effective viable while the sum of aspects is exactly extra than the 0.33 side.

This hassle is primarily based totally at the triangle inequality assets which states that if the sum of lengths of any aspects of a triangle is extra than the 0.33 side, then it's miles viable to attract a triangle. The indoors angles rule states that the 3 angles of a triangle need to identical 180°. As you may see below, the 3 perspective measurements of obtuse triangle ABC upload to 180°.

Even, if there may be a single pair now no longer enjoyable the circumstance, the triangle will now no longer be viable.The sum of the lengths of aspects needs to be extra than the 0.33 side. If the given lengths fulfill this circumstance then most effective it's miles viable to assemble a triangle.

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The solution to the given question is given below:(a) f(x) = 3x^2+4/x^2+2To differentiate the given function, we will use the quotient rule of differentiation.

which is given by,(f(x)/g(x))'=[f'(x)g(x)-f(x)g'(x)]/[g(x)]2Now, putting the given values into the formula, we get,f(x) = 3x2+4/x2+2Let f(x) = 3x2+4 and g(x) = x2+2Now,f'(x) = d/dx[3x2+4] = 6xg'(x) = d/dx[x2+2] = 2xAfter substituting all the values in the quotient rule, we get,(f(x)/g(x))'=(6x(x2+2)-2x(3x2+4))/(x2+2)2=(-6x^3-8x+12x^3+16x)/[x^4+4x^2+4] = (6x^3+8x)/[x^4+4x^2+4]Hence, f'(x) = (6x^3+8x)/[x^4+4x^2+4].Therefore, the required derivative of the given function is (6x^3+8x)/[x^4+4x^2+4].(b) f(x) = (x2 - 7x)12To differentiate the given function, we will use the chain rule of differentiation which is given by, d/dx[f(g(x))] = f'(g(x)).g'(x)Now, putting the given values into the formula, we get,Let f(x) = x^12 and g(x) = x2-7xThen,f'(x) = 12x^11g'(x) = d/dx[x2-7x] = 2x-7After substituting all the values in the chain rule, we get,d/dx[f(g(x))] = f'(g(x)).g'(x) = 12(x2-7x)11.(2x-7)Therefore, the required derivative of the given function is 12(x2-7x)11.(2x-7).(c) f(x) = x^4√6x+5To differentiate the given function, we will use the product rule of differentiation which is given by, (fg)' = f'g + fg'Now, putting the given values into the formula, we get,Let f(x) = x^4 and g(x) = √6x+5Then,f'(x) = d/dx[x4] = 4x3g'(x) = d/dx[√6x+5] = 3/√6x+5After substituting all the values in the product rule, we get,(fg)' = f'g + fg' = (4x3).(√6x+5) + (x^4).(3/√6x+5)Hence, f'(x) = (4x3).(√6x+5) + (x^4).(3/√6x+5).Therefore, the required derivative of the given function is (4x3).(√6x+5) + (x^4).(3/√6x+5).

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The derivatives of the functions of the differentiation of the given functions has been calculated.

(a) The rule of differentiation applied to

f(x) = 3x²+4/x²+2 is as follows:

f'(x) = [12x(x²+2)-(6x)(4)] / [(x²+2)²]

=> f'(x) = [12x³-24x] / [(x²+2)²]

=> f'(x) = 12x(1-x²)/[(x²+2)²].

(b) The rule of differentiation applied to f(x) = (x² - 7x)^12 is as follows:

f'(x) = 12(x²-7x)^11(2x-7).

We apply the chain rule, which is the following:

[f(g(x))]' = f'(g(x)) * g'(x).(c)

The rule of differentiation applied to f(x) = x⁴√(6x+5) is as follows:

f'(x) = 4x³ * (6x+5)¹∕² + x⁴ * 1/2(6x+5)^-1/2 * 6

=> f'(x) = [24x³(6x+5) + 3x⁴(6)]/[2(6x+5)¹∕²]

=> f'(x) = [3x³(8x²+15)]/[(6x+5)¹∕²].

Thus, the differentiation of the given functions has been calculated.

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Answer:

what is the question?

Step-by-step explanation:

uhh ok