Taylor’s gymnastics team is selling 5 raffle tickets for $8.00 What is the constant of proportionality of dollars per ticket? (options below)


$40.00 per ticket


$8.00 per ticket


$1.60 per ticket


$0.63 pet ticket

Answer:

Let the radii of two cylinders be 4x and 5x and their heights be 7y and 6y respectively. The lateral surface area of a cylinder is given by the formula 2πrh where r is the radius and h is the height. The lateral surface area of the first cylinder is 2π(4x)(7y) = 56πxy. The lateral surface area of the second cylinder is 2π(5x)(6y) = 60πxy. Therefore, the ratio of their lateral surface area is 56πxy : 60πxy which can be simplified to 14:15. Hence, the ratio of their lateral surface area is 14:15.

The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point

To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.

Taking the partial derivative with respect to x, we have:

∂f/∂x = 24x^2 + 6y = 0.

Taking the partial derivative with respect to y, we have:

∂f/∂y = 2y + 6x = 0.

Solving these two equations simultaneously, we get:

24x^2 + 6y = 0,

2y + 6x = 0.

From the second equation, we can solve for y in terms of x:

Y = -3x.

Substituting this into the first equation:

24x^2 + 6(-3x) = 0,

24x^2 – 18x = 0,

6x(4x – 3) = 0.

Therefore, we have two possibilities for x:

1. x = 0,

2. 4x – 3 = 0, which gives x = ¾.

Substituting these values back into y = -3x, we get the corresponding y-values:

1. x = 0 ⇒ y = 0,

2. x = ¾ ⇒ y = -9/4.

Hence, the critical points of the function are (0, 0) and (3/4, -9/4).

To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.

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The statements that are true regarding triangle XYZ are XZ = 9√2 and YZ = 9

from the question, we have the following parameters that can be used in our computation:

XY = 9 cm

Also, we have the right triangle

The acute angle in the triangle is 45 degrees

This means that

XY = YZ = 9

It also means that

XZ = XY√2

So, we have

XZ = 9√2

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Answer:

x = - 5, y = - 6

Step-by-step explanation:

Given the 2 equations

7x - 4y = - 11 → (1)

7x + 4y = - 59 → (2)

Adding the 2 equations term by term will eliminate the term in y

14x = - 70 ( divide both sides by 14 )

x = - 5

Substitute x = - 5 into either of the 2 equations and solve for y

Substituting into (2)

7(- 5) + 4y = - 59

- 35 + 4y = - 59 ( add 35 to both sides )

4y = - 24 ( divide both sides by 4 )

y = - 6

Thus x = - 5 and y = - 6

Answer:

x = -5

y = -6

Step-by-step explanation:

Let's take the top equation.

7x - 4y = -11

and solve it for x.

7x - 4y = -11

7x = 4y - 11

x = \(\frac{4y - 11}{7}\)

Now we can substitute it in to the other equation.

7x + 4y = -59

7(\(\frac{4y-11}{7}\)) + 4y = -59

Now solve this equation.

4y - 11 + 4y = -59

8y - 11 = -59

8y = -48

y = -6

Then substitute negative 6 into the first equation.

7x - 4(-6) = -11

7x -(-24) = -11

7x = 35

x = -5

Answer:

so it  equation a= 0.2

Step-by-step explanation:

Answer:

The first one (a = 0.2 x 150). And a = 30

Step-by-step explanation:

To find a percentage of a number, you multiply it by 0.10 for 10%, 0.20 for 20%, and so on. Since a is the unknown number, that makes the first option correct. Now, we multiply .2 and 150 to get 30. That is the answer to the second part.

The equation that represents the sentence "28 is the quotient of a number and 4" is 28 = n/4.

In the given sentence, "28 is the quotient of a number and 4," we can break down the sentence into mathematical terms. The term "quotient" refers to the result of division, and "a number" can be represented by the variable "n." The divisor is 4.

1) Define the variable.

Let's assign the variable "n" to represent "a number."

2) Write the equation.

Since the sentence states that "28 is the quotient of a number and 4," we can write this as an equation: 28 = n/4.

The equation 28 = n/4 represents the fact that the number 28 is the result of dividing "a number" (n) by 4. The left side of the equation represents 28, and the right side represents "a number" divided by 4.

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The interest is %2 of 520 which, if you do the math, is 10.4 cents. You want to find out how much interest it is for 6 years so you have to multiply them.

10.4 x 6 = 62.4

The total interest for 6 years is $62.4

your welcome

The equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: \(18 = 0.1s\)

Suppose that the whole thing is of value V.

Then its one-nth part is symbolically written as: \(V \times \dfrac{1}{n}\) (V is divided in n equal part, and each part is called one-nth part of V).

For the considered case, we've got the figures as:

Every seventh grade student at considered school takes one language class. It means, if s = Total number of seventh grade student, then:

\(\dfrac{s}{7}\)  is the number of students taking language class.

Now, it is said that: One-tenth of the seventh grade students like French, and that they are total 18 in counts.

Writing it symbolically gives:

\(\dfrac{s}{10} = 18\)

Since we know that \(\dfrac{a}{b} = a \times \dfrac{1}{b}\)

Thus,

\(\dfrac{s}{10} = s \times \dfrac{1}{10} = s \times 0.1= 18\\\\0.1 s = 18\\18 = 0.1s\)

(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Thus, the equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: \(18 = 0.1s\)

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The cartesian vector form of \(F\) is \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\). We call x + yi the Cartesian form for a complex number.

Given that \(i,j,p\) and \(q\) are unit vectors and the angle \(\alpha = 222\)°, we can express the cartesian vector form of \(F\) as \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\).

To calculate the components of \(F\) , we use the trigonometric functions \(cos(\alpha )\) and \(sin(\alpha )\) with the given angle \(\alpha = 222\)°.

\(cos(222) = -0.766\\sin(222) = -0.643\)

Substituting these values into the cartesian vector form, we have:

\(F = (-31cos(222)i + 102sin(222)j)\\F = (-31 * -0.766i + 102*-0.643j)\\F = (23.746i - 65.586j)\)

Therefore, the cartesian vector form of \(F\) is \(F = (23.746i - 65.586j)\).

The cartesian vector form of \(F = (23.746i - 65.586j)\)

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Given -

To Find -

Type of Triangle =?

Step-by-Step Explanation -

As we can see we have an obtuse angle in the triangle and also, the two sides are equal.

So,

It is an Obtuse angle triangle.

It is also an isosceles triangle

Final Answer -

B. Obtuse

E. Isoseceles

Using a system of equations, the quantity of Type A coffee that Trey's Coffee Shop blended with Type B coffee was 78 pounds.

A system of equations or simultaneous equations is two or more equations solved concurrently, simultaneously, or at the same time.

Unit Cost Per Pound:

Type A coffee = $5.80

Type B coffee = $4.25

The total quantity of pounds of the blend = 142 pounds

The total cost of 142 pounds = $724.40

Let the number of Type A coffee = x

Let the number of Type B coffee = y

x + y = 142 ... Equation 1

5.8x + 4.25y = 724.40 ... Equation 2

Multiply Equation 1 by 4.25:

4.25x + 4.25y = 603.5 ... Equation 3

Subtract Equation 3 from Equation 2:

5.8x + 4.25y = 724.40

-

4.25x + 4.25y = 603.5

1.55x = 120.9

x = 78

Substitute x = 78 in either equation:

x + y = 142

78 + y = 142

y = 64

Thus, 78 pounds of Type A coffee was used for the mixture.

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The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

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The formula that represents l in terms of f and w is l = (f-5w)/2

This is way of representing a variable with other variables in an expression, Given the expression that represent the amount of fence a farmer needs to create a garden with width w and length

f = 5w + 2l

Make l the subject of the formula

2l = f - 5w

Divide both sides by 2

2l/2 = (f-5w)/2

l = (f-5w)/2

Hence the formula that represents l in terms of f and w is l = (f-5w)/2

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The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

\(I=\dfrac{Prt}{100}\)

Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).

Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,

\(P=83.42\times12\\P=1001.04\)

The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,

\(I=\dfrac{1001.04\times1.83}{100}\\I=54.06\)

The total total amount in his bank account after 3 years is,

\(A=P+I\\A=1001.04+54.06\\A=1055.10\)

Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

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Answer:

b.

$1,055.10

Step-by-step explanation:

right on edg 22

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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Answer:

False true true true

Step-by-step explanation:

So sorry for the rough sketch but that is how it will reflect

Answer:

The pizza was heated at a constant rate. The table compares the pizza's temperature (in degrees Celsius) and the time since Suraj started heating it (in minutes). Time(Minutes) Temperature( degree .

Answer:

14 did it on khan

Step-by-step explanation:

proof:

Answer:

56.55 or 18pi

Step-by-step explanation:

Pi time radius squared divided by two

Y = (1/6)*e^5t  is  differential equation .

What exactly does differential equation mean?

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.  

                                     Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.

y′′−9y′+26y=e^(5t)

The characteristice equation of the differential equation is : r^2 -9r +26 =0

On solving we get the values of r=4.5 + 2.34i (z1) ,  4.5 - 2.4i(z2)--- (complex roots)

homogeneous solution is: yh = c1e^z1t + c2e^z2t

Plug  Y = Ae^5t in the ODE:

=   25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)

25A -45A +26A =1 ;  6A = 1; A =1/6

Y = c1e^z1t + c2e^z2t  is a general solution but we wnata particular solution

So, simply Y = (1/6)*e^5t

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The correct answer is B. The derivative is 2x - 49.

To find the derivative of the function (x - 50 + (x + 1)), we can apply the product rule, which states that the derivative of the product of two functions is the first function times the derivative of the second function, plus the second function times the derivative of the first function.

Let's break down the given function into its components:

f(x) = (x - 50) + (x + 1)

To differentiate this function, we can consider each term separately:

Term 1: (x - 50)

Term 2: (x + 1)

Now, applying the product rule, we differentiate each term and combine the results:

Derivative of Term 1 = 1  (since the derivative of x is 1)

Derivative of Term 2 = 1  (since the derivative of x is 1)

Using the product rule, the derivative of the function is:

f'(x) = (x - 50) * 1 + (x + 1) * 1

f'(x) = x - 50 + x + 1

f'(x) = 2x - 49

Therefore, the correct answer is B. The derivative is 2x - 49.

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Answer:

We know that you put (90-50), or 40 ml of lemon juice. If 40 ml of lemon juice is 1/3 of the total sauce, then 80 ml of it should be oil.

So you should add 30 ml more oil to make it proportional.

Let me know if this helps!

The correct option regarding which cap Louay can buy is given as follows:

D. Cap 1 or 3.

The fraction of white stars is obtained using a proportion, dividing the number of white stars by the total number of stars.

Hence the fractions for each cap are given as follows:

Meaning that Cap 1 and Cap 3 have the desired ratio of white stars relative to total stars, and thus the correct option is given by option D.

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A test for two proportions and the null hypothesis would be the best test statistic to assess the variance in bacon consumption from 2011 to 2016.

The null hypothesis for the test is that the proportion of adults who consumed at least 3 pounds of bacon in 2011 is equivalent to the proportion of adults who consumed at least three pounds of bacon in 2016.

A potential explanation would be that the percentage of adults who ate at least 3 pounds of bacon in 2011 and 2016 differed.

Additionally, the test statistic may be likened to a chi-squared distribution with one degree of freedom; hence, it is necessary to compute the test statistic's p-value in order to establish whether the null hypothesis can be ideally rejected or not.

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Answer:

7

Step-by-step explanation:

42/6=7

Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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The probability is 0.4647.

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