The sum of 8 and three times a number is 41

The r-value that represents the no or low correlation is 0.0

For a r value to show no correlation, then the r value must be 0 or close to 0

Since the r values are not given, then we can assume that the r value is 0

Hence, the r-value that represents the no or low correlation is 0.0

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cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.

To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:

cos(tan^(-1)(x)) = 1 / √(1 + x^2)

In this case, x is -2/3. Substituting the value into the identity:

cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)

Now, let's calculate the value:

cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)

                   = 1 / √(13/9)

                   = 1 / (√13/3)

                   = 3 / √13

                   = 3√13 / 13

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One metal switch box has a volume of 10.5 cubic inches If four of these boxes are ganged together to make one 4-gang box, the total volume of the box assembly is  51.84 in^3.

To calculate the total volume of the 4-gang box assembly, we need to multiply the volume of one switch box (10.5 in^3) by the number of boxes in the assembly (4). This gives us 10.5 in^3 x 4 = 42 in^3. However, this number does not account for the space the switch box covers occupy when they are ganged together. To account for this, we need to add the volume of the gap between the boxes.

This gap is typically in the range of 0.2 to 0.3 in^3. To be conservative, we will use 0.3 in^3. Adding this to our previous result gives us 42 in^3 + 0.3 in^3 = 42.3 in^3. This is the total volume of the 4-gang box assembly. To round this number to the nearest hundredth, we can round up to 42.3 in^3 = 51.84 in^3.

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By comparing the result obtained in Part B (6N) with the result obtained in Part A, we can see that the conjecture holds true. The result of the process is indeed related to the original number (N) by multiplying it by 6.

Part A:

Based on the given process, the conjecture that relates the result of the process to the original number (represented as N) is as follows:

Start with the original number N.

Multiply N by 4.

Add 12 to the product.

Divide the sum by 2.

Subtract 6 from the quotient.

The result of this process is the final number obtained.

Part B:

To prove the conjecture using deductive reasoning, we will follow the steps given in Part A:

Start with the original number N.

Multiply N by 12.

Add 4 to the product.

Divide the sum by 2.

Subtract 2 from the quotient.

We will simplify the steps using algebraic notation:

Step 1: N

Step 2: 12N

Step 3: 12N + 4

Step 4: (12N + 4) / 2

Step 5: [(12N + 4) / 2] - 2

Now, let's simplify Step 5:

Step 5: (12N + 4) / 2 - 2

      = (12N + 4 - 2*2) / 2

      = (12N + 4 - 4) / 2

      = 12N / 2

      = 6N

Therefore, the result of this process is 6N.

We may verify that the supposition is correct by comparing the result from Part B (6N) with the result from Part A. By multiplying the outcome by 6, the process does in fact relate to the original number (N).

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The complete question is:

Multiply the number by 4. Add 12 to the product. Divide this sum by 2. Subtract 6 from the quotient. 1st number is 3 and the results 2nd number is 6 and the results 3rd number is 8 and the results 4th number is 12 and the results part A. Write a conjecture that relates the result of the process to the original number selected. Represent the original number as N. What is the result part b Represent the original number as N, use deductive reasoning to prove the conjecture in part (a) multiply the number by 12 and the results add 4 to the product and the results divide the sum by 2 subtract 2 from the quotient

Answer:

Jayden: 9t+3s=420

Carson: 1t+6s=296

Step-by-step explanation:

I hope that helps =)

Answer: 40 cm²

Step-by-step explanation:

Surface Area will be= [2 x {(2x4)+(4x2)+(2x2)}] = 40 cm²

Answer:

whats the question?

Step-by-step explanation:

Answer:

is this just to get free points cause you didint add your question?

Step-by-step explanation:

48/3=16

One gets 16

16-15=1

she kept 1 coutie

Answer:

Because alkylating agents effectively sterilize materials at low temperatures but are carcinogenic and may also irritate tissue.

Step-by-step explanation:

Answer:

one

Step-by-step explanation:

one is the only number that evenly adds up to six and multplys to 77

Answer:

6/18 bags

Step-by-step explanation:

Answer:

8/12 OF A BAG IS THE RIGHT ANSWER

Answer:

y-intercept is at (0,3)

Step-by-step explanation:

The angle m∠J  in the right angle triangle is 58.1 degrees.

One of the angle of a right tangle triangle is 90 degrees. The sum of

angles in a triangle is 180 degrees.

Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.

Hence,

tan ∠J = opposite / adjacent

tan ∠J = 15.1 / 9.4

∠J = tan⁻¹ 1.60638297872

∠J = 58.0909229196

Therefore,

m∠J = 58.1 degrees

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Answer:

Step-by-step explanation:

Given:

• Jumbo burger = $1.95

• Cheeseburger = $0.69

• Medium fries - $0.99

• Small cola = $0.90

Amount spent = $5.79

Let's find what you bought.

To determine what you bought, let's sum up the given costs and find the possible combination that will give us $5.79

We have:

When you buy the following:

2 jumbo burgers = 2 x 1.95 = $3.90

1 Meduim fries = $0.99

1 small cola = 0.90

Now add them up:

2 jumbo burgers + 1 medium fries + 1 small cola

$3.90 + $0.99 + $0.90 = $5.79

Therefore, if you spent $5.79, that means you bought 2 jumbo burgers, 1 medium fries and 1 small cola.

Answer:

58

Step-by-step explanation:

1980+630 then divide by 45

Answer:

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

Given is a quadratic equation:

A quadratic equation has no real solutions if its discriminant is negative.

The discriminant of ax² + bx + c is:

Apply to given equation:

Find the value of n when D < 0:

The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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Answer:

Step-by-step explanation:

what is 12/21 + 18/21 + 14/21

(12 + 18 + 14)/21 =

44/21

Answer:

21

Step-by-step explanation:

(-4)(-2)+2(6+5)

(8)+2(11)

10+11

21

Hope this helps! :)

Answer:32

Step-by-step explanation: First, we do parentheses. 6+5 = 11. Next, we have to do multiplication (-4)(-2) is positive 8 because there are two negatives. 8+2 is 10 + 2(11) is 10+22 which is 32

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer: \(\angle A+\angle D=180^{\circ}\)

Step-by-step explanation:

Adjacent angles of a parallelogram are always supplementary.

The rations for sin M, cos M and tan M is  \(\sqrt{11}\)/6, 5/6, \(\sqrt{11}\)/5

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

\(\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\\)

Given;

Height=\(2\sqrt{11}\)

Base= 10

Hypotenuse= 12

Now,

sin M= 2\(\sqrt{11}\)/12

=\(\sqrt{11}\)/6

cos M= 10/12

=5/6

tan M= 2\(\sqrt{11}\)/10

=\(\sqrt{11}\)/5

Therefore the trigonometric rations will be \(\sqrt{11}\)/6, 5/6, \(\sqrt{11}\)/5

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The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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Answer:

2.)-7, -5, -1, 0

3.) -12, 0, 13, 14, 16, 17

5.) 5

Step-by-step explanation:

The expression/equation as written in the question is ∠A ≈ ∠C

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

∠A ≈ ∠C

The above expression means that

The angles A and C are congruent

From the question, we understand that

The question is not to be solved; we only need to write out the expression

Hence, the expression/equation as written is ∠A ≈ ∠C

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Answer:

\((a)\ g(x) = \frac{2}{3}(x+1)\)

\((b)\ h(y) = \frac{1}{3}[1 + 4y]\)

\((c)\) \(P(x>0.5) =\frac{5}{12}\)

Step-by-step explanation:

Given

\(f(x,y) = \left \{ {{\frac{2}{3}(x+2y)\ \ 0\le x \le 1,\ 0\le y\le 1} \right.\)

Solving (a): The marginal density of X

This is calculated as:

\(g(x) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dy\)

\(g(x) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dy\)

\(g(x) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dy\)

Integrate

\(g(x) = \frac{2}{3}(xy+y^2)|\limits^{1}_{0}\)

Substitute 1 and 0 for y

\(g(x) = \frac{2}{3}[(x*1+1^2) - (x*0 + 0^2)}\)

\(g(x) = \frac{2}{3}[(x+1)}\)

Solving (b): The marginal density of Y

This is calculated as:

\(h(y) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dx\)

\(h(y) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dx\)

\(h(y) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dx\)

Integrate

\(h(y) = \frac{2}{3}(\frac{x^2}{2} + 2xy)|\limits^{1}_{0}\)

Substitute 1 and 0 for x

\(h(y) = \frac{2}{3}[(\frac{1^2}{2} + 2y*1) - (\frac{0^2}{2} + 2y*0) ]\)

\(h(y) = \frac{2}{3}[(\frac{1}{2} + 2y)]\)

\(h(y) = \frac{1}{3}[1 + 4y]\)

Solving (c): The probability that the drive-through facility is busy less than one-half of the time.

This is represented as:

\(P(x>0.5)\)

The solution is as follows:

\(P(x>0.5) = P(0\le x\le 0.5,0\le y\le 1)\)

Represent as an integral

\(P(x>0.5) =\int\limits^1_0 \int\limits^{0.5}_0 {\frac{2}{3}(x + 2y)} \, dx dy\)

\(P(x>0.5) =\frac{2}{3}\int\limits^1_0 \int\limits^{0.5}_0 {(x + 2y)} \, dx dy\)

Integrate w.r.t. x

\(P(x>0.5) =\frac{2}{3}\int\limits^1_0 (\frac{x^2}{2} + 2xy) |^{0.5}_0\, dy\)

\(P(x>0.5) =\frac{2}{3}\int\limits^1_0 [(\frac{0.5^2}{2} + 2*0.5y) -(\frac{0^2}{2} + 2*0y)], dy\)

\(P(x>0.5) =\frac{2}{3}\int\limits^1_0 (0.125 + y), dy\)

\(P(x>0.5) =\frac{2}{3}(0.125y + \frac{y^2}{2})|^{1}_{0}\)

\(P(x>0.5) =\frac{2}{3}[(0.125*1 + \frac{1^2}{2}) - (0.125*0 + \frac{0^2}{2})]\)

\(P(x>0.5) =\frac{2}{3}[(0.125 + \frac{1}{2})]\)

\(P(x>0.5) =\frac{2}{3}[(0.125 + 0.5]\)

\(P(x>0.5) =\frac{2}{3} * 0.625\)

\(P(x>0.5) =\frac{2 * 0.625}{3}\)

\(P(x>0.5) =\frac{1.25}{3}\)

Express as a fraction, properly

\(P(x>0.5) =\frac{1.25*4}{3*4}\)

\(P(x>0.5) =\frac{5}{12}\)

Answer:

70

Step-by-step explanation:

Answer:

13u

Step-by-step explanation:

These are like terms so you may combine them

4u+9u=13u

Answer:

they have the same variable, so we just add them together.

\(4u + 9u = 13u\)