what is the measure of an angle if it is 660 less than 6 times its own supplement

When b is 3, the value of the expression \(2b^3 + 5\) is 59.

To evaluate the expression\(2b^3 + 5\) when b is 3, we substitute the value of b into the expression and perform the necessary calculations.

Given that b = 3, we substitute this value into the expression:

\(2(3)^3 + 5\)

First, we evaluate the exponent, which is 3 raised to the power of 3:

2(27) + 5

Next, we perform the multiplication:

54 + 5

Finally, we add the two terms:

59

Therefore, when b is 3, the value of the expression \(2b^3 + 5\) is 59.

In summary, by substituting b = 3 into the expression \(2b^3 + 5\), we find that the value of the expression is 59.

It's important to note that the provided equation has multiple possible solutions for x, but when b is specifically given as 3, the value of x is approximately 3.78.

It's important to note that in this equation, we substituted the value of b and solved for x, resulting in a specific value for x. However, if we wanted to solve for b given a specific value of x, we would follow the same steps but rearrange the equation accordingly.

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The solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.

To simplify the equation 3(x-6) - 1/2(8x+10) = -25, we can start by applying the distributive property and then combining like terms.

First, let's distribute the 3 and the -1/2 to the terms inside the parentheses:

3(x-6) - 1/2(8x+10) = 3x - 18 - (4x + 5)

Now, let's simplify further by combining like terms:

3x - 18 - 4x - 5 = -x - 23

So, the simplified equation is -x - 23 = -25.

To solve for x, we can isolate the variable by adding 23 to both sides of the equation:

-x - 23 + 23 = -25 + 23

This simplifies to:

-x = -2

Finally, we can solve for x by multiplying both sides of the equation by -1:

(-1)(-x) = (-1)(-2)

This gives us:

x = 2

Therefore, the solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.

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Answer:

Step-by-step explanation:

She

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The statement is false. A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart.

An \( \bar{X} \) chart is NOT used to track a process with binary outcome variables. The statement is false.

Explanation: A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart. The values for a variable can be collected and analyzed using process charts. An \( \bar{X} \) chart, commonly known as an x-bar chart, is used to monitor a process with continuous numerical data. A binary outcome variable, on the other hand, has only two possible outcomes (e.g., yes/no, pass/fail, etc.). As a result, binary data is unsuitable for an \( \bar{X} \) chart, which is only used to monitor continuous numerical data.

Variables are values that may be altered in a process, which can affect its results. Variables may be categorized as continuous or discrete, depending on whether they can be measured or counted. Discrete variables, such as the number of employees working on a task or the number of items produced in a process, are quantifiable and can be measured precisely. Continuous variables, such as the temperature, length, or weight, can take on any value over a range and are therefore less specific. The reasons for holding inventory include serving as a buffer against uncertainties, ensuring product availability and preventing stockouts, reducing lead times and transportation costs, taking advantage of discounts and bulk purchasing opportunities, and providing a hedge against inflation and price fluctuations.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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The answer to the question is C, which is integers 4,5 or -4,-3.

Let's call the first integer x and the second integer x+1 (since they are consecutive).
According to the problem, we can set up the following equation:
x(x+1) = x + (x+1) + 19
We can simplify this equation by expanding the left side and combining like terms on the right side:
x^2 + x = 2x + 20
Now we can move all the terms to one side and get a quadratic equation:
x^2 - x - 20 = 0
We can factor this equation as (x-5)(x+4) = 0, which means the solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The long answer includes all the steps of solving the quadratic equation:
x^2 - x - 20 = 0
We can use the quadratic formula to solve for x:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a=1, b=-1, and c=-20.
x = (1 ± √(1 - 4(1)(-20))) / 2(1)
x = (1 ± √81) / 2
x = (1 ± 9) / 2

The two solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The product of two consecutive integers is 19 more than their sum. To find the integers, let's represent them as x and x+1.

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Answer:

1) 229 Teens

2) (12,-2)

The expression f(x)=g(x) indicate the points in the graph where the two functions intersect, i.e. when they cross

In this graph, g(x) cuts f(x) in two points (-4,4) and (0,4)

Now f(x) is a contstant, it has no slope and is equal to 4, always.

Since g(x) cuts f(x) in point (-4,4), you can say that f(-4)= g(-4)

Second cut is in point (0,4), this means f(0)= g(0)

The correct option is number 2 f(-4)= g(-4) and f(0)= g(0)

With regards to the probabilities of getting each color in the game played by Larry and Jessica, the correct answer is B. No, the probabilities are NOT equally likely.

In the game being played by Larry and Jessica, the colors that can be picked by either person include:

The probability of picking blue is:

= Number of blue sections / Total sections

= 3 / 8

The probability of picking red is :

= 3 / 8

The probability of picking green is:

= 2 / 8

= 1 / 4

The probabilities are therefore not equally likely.

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Answer:

75

Step-by-step explanation:

If a triangle = 180 degrees, then subtract 105 by 180, and you get 75!

The probability that a person who tries the new flavor will buy it is approximately 0.359. The probability of getting a sum of 4 when rolling a pair of dice is approximately 0.083.

For the first question, the probability that a person who tries the new flavor will buy it can be estimated by dividing the number of people who bought it by the total number of people who tried it. In this case, out of 153 people who tried the new flavor, 55 bought it.

Probability of buying = Number of people who bought / Total number of people who tried

Probability of buying = 55 / 153 ≈ 0.359

Therefore, the estimated probability that a person who tries the new flavor will buy it is approximately 0.359.

Now, let's move on to the second question.

In Monopoly, when rolling a pair of dice, we need to find the probability of getting a sum of 4. To determine this probability, we first need to identify all the possible outcomes that can result in a sum of 4 when rolling two dice.

The possible combinations that result in a sum of 4 are: (1, 3), (2, 2), and (3, 1). There are three favorable outcomes.

The total number of outcomes when rolling two dice is given by the product of the number of outcomes for each die. Since each die has six sides, there are 6 possible outcomes for each die, resulting in a total of 6 × 6 = 36 possible outcomes.

Probability of getting a sum of 4 = Number of favorable outcomes / Total number of possible outcomes

Probability of getting a sum of 4 = 3 / 36 = 1 / 12 ≈ 0.083

Therefore, the probability of getting a sum of 4 when rolling a pair of dice is approximately 0.083.

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Answer:

it's d

Step-by-step explanation:

x goes to the right 8 so it's +8

and y goes up u so it's +7

Answer:

D) (x, y) - ( x+8, y+ 7)

Step-by-step explanation:

A coordinates= (-5, -1)

Add -5+8=3

Add -1+7=6

Which gives you (3,6) which is A’

Do that to all the points and they all line up

Hope this helps :)

Answer:

75%

Step-by-step explanation:

390/520 = 0.75 =75

hope that helps ;)

Answer:

75%

Step-by-step explanation:

390/520×100%

0.75×100%

75%

Answer is the following:

B

Answer:

c=-2

Step-by-step explanation:

4(3+c)+c=c+4

distribute the 4

12+4c+c=c+4

subtract c on both sides

12+4c=4

subtract 12 on both sides

4c=-8

c=-2

Step-by-step explanation:

subtract c and distribute

12 + 4 c = 4

4c = - 8

solve for c

We have with a  study the diagram of the diagram below and the explanations that follows the correct answers are

Generally

1)

OP is a segment bisector.

NO

OP is not a segment bisector because it those not divide segment LKMN in to two equal parts.

2)

OP is a perpendicular bisector.

NO

OP is not a perpendicular bisector because a perpendicular bisector is a bisector that cuts a segment into two equal parts and create an angle to the normal

3)

OP is an angle bisector

NO.

Because OP those not divide any angles into two equal parts

4)

O is the vertex of a pair of congruent angles in the diagram.

YES

Because O lines in between two angles of the same degree()

5)

O is the vertex of a right angle.

NO

Because O those not exist at a right angle

6)

The midpoint of a segment in the diagram

The mid point of this segment can be derived by drawing diagonals across the 4 vertex LMNK.

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Answer:

18

Step-by-step explanation:

Length(L)=6

Breadth(B)=3

so...

P=2(L+B)

=2(6+3)

=2×9

=18

Synthetic division to test one potential root. the numbers that complete the division problem are a = 1 b = 1 c = -12 d = -50

To use synthetic division to test the potential root, we have to arrange the polynomial coefficients in descending order and use the potential root as the divisor.

then the polynomial is written as:

1x^3 + 6x^2 - 7x - 60

Assume that the potential root is x = -5.

-5 |  1   6  -7  -60

   |___-5_-5__10

      1   1 -12__-50

Now the numbers that complete the division problem are:

a = 1 b = 1 c = -12 d = -50

Therefore, the polynomial can be written as  (x - 5)(x^3 + x^2 - 12x - 50)

and the numbers that complete the division problem are a = 1 b = 1 c = -12 d = -50

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Answer:

Awhhhhhhhhhh

No ideas yet

Answer:

B

Step-by-step explanation:

Multiply and Dividing are usually first not adding and Subtracting

Step-by-step explanation:

Store A:

6% of 1,200 is 72

72 + 1,200 = 1,272

Thus, store A has a total of 1,272

Store B:

7% of 1,350 is 94.5

94.5 + 1,350 = 1444.5

Thus, Store B has a total of 1444.5

1444.5 - 1,272 = 172.5

Thus, Store A is cheaper.

Answer:

sales tax- rate×original amount

A- 6/100(1200)=72

B- 7/100(1350)=94.5

Answer:

Probability that she selects a blue bead

= 3/9

= 1/3

Step-by-step explanation:

Please mark me brainliest

Answer:b

Step-by-step explanation:

The proportion of the laptops is equal to 0.6 with the price range between 624 dollars to 768 dollars for the given mean and standard deviation.

As given in the question,

Given condition:

Price of of given laptops set are normally distributed:

Mean 'μ' is equal to 750 dollars

Standard deviation 'σ' is 60 dollars

let 'X' represents the price of laptops

Range of price is given by:

624 < X < 768

= (624 - μ)/σ < (X - μ)/σ < (768 - μ)/σ

= (624 - 750)/60 < (X - μ)/σ < (768 - 750)/60

= -126 /60 < (X - μ)/σ  <  18 /60

= -2.1 < Z < 0.3

From the table , value of z-score is equal to

z-score for -2.1 = 0.01786

z-score for 0.3 = 0.6179

Required proportion is equal to

0.6179 - 0.01786

= 0.6179 - 0.0179

= 0.6

Therefore, the proportion of laptops with the price between 624 and 768 is equal to 0.6.

The complete question is :

A set of laptop prices are normally distributed with a mean of 750 dollars and a standard deviation of 60dollars.

What proportion of laptop prices are between 624 dollars and 768 dollars?!

You may round your answer to four decimal places.

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Relative retention (α ) is 1.06

This factor gives an idea as to how far two compounds can be separated by a given stationary phase. For any two compounds 1 and 2, the relative retention, α is the ratio of their adjusted retention times. Hence, α= t'R2 / t'R1 .  relative retention ( α) has to be always more than 1.

For A,

Retention (\(t_r_A\)) = 12.46

Time

Baseline peak width (W) = 0.141

Number of theoretical plates, N(A) = 16 (\(t_r\)/w)²

                                                            = 16(12.46/0.141)²

                                                            = 124,944.7

For B,

Retention Time (\(t_r_B\)) = 13.12

Baseline peak width (w) = 0.272

Number theoretical plates, N(B) = 16 (\(t_r\)/w)²

                                                     = 16 (13.12/0.272)²

                                                     = 37,226.3

\(\textup{Adjusted retention time,} t_R_'=t_R-t_m\)

\(\textup{Retention factor,} k=\frac{t_R_'}{t_m}\)

For A

    \(t_R\)' = (12.46 min) - (1.265min) = 11.195 min

   Retention factor = 11.95/1.265 = 8.85

For B

     \(t_R\)' = (13.12 min) - (1.265 min) = 11.855

     Retention Factor = 11,855/ 1,265 = 9.37

\(\textup{Relative Retention }, \alpha =\frac{t_R_'(B)}{t_R_'(A)}\)

                                   \(=\frac{9.37}{8.85} = 1.06\)

Hence, relative retention (α) is 1.06

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The final answers are (0, 0, 0), 4x²y³ - 9y²z² + 2y⁵, and 6x²y - 6xyz - 2xz² + 4x²z + 2yz² - 2z³ respectively.

a) curl [grad (f²)]
First, calculate grad (f²).

grad (f²) = (2xy-2yz, 2xy-2xz, 2yz-2xz)

Now, calculate the curl of grad (f²).

curl of grad (f²) = (0, 0, 0)

The final answer is (0, 0, 0).

b) [(curl v) x w].w
First, calculate curl v.

curl v = (0, -4x-2y, -2z)

Now,

calculate [(curl v) x w].[(curl v) x w] = (2y(2z) - (4x+2y)(y²), -(4x+2y)(3z² - y²) - 2z(2y), (4x+2y)(y²) - 3z²(2y))

= (-4xy² + 2yz² + 4x²y - 2y³, -12x²z - 6yz² - 4xy² - 2z³ + 2y³, 8x²y - 6yz² - 6y²z)

cw = (3z²y², -2x²y² + y⁴, y⁴)

Then, calculate [(curl v) x w].w.[(curl v) x w].w

= (-12x²z - 6yz² - 4xy² - 2z³ + 2y³)(3z²y²) + (8x²y - 6yz² - 6y²z)(y⁴) + (-4xy² + 2yz² + 4x²y - 2y³)(y⁴)

The final answer is 4x²y³ - 9y²z² + 2y⁵.

c) [(grad f) x v].v
First, calculate grad f.

grad f = (y, x-z, -y)

Now, calculate

[(grad f) x v].[(grad f) x v] = (2z²y - 4y²x - 2yz², 4x³ - 8x²z - 2z³ + 2xy², 4xy² - 8xyz + 2xz² + 4y²z)

= (-2z(2xy-yz), 2x(2x²-2xz+z²-2y²), 2y(2x²-2yz+y²))

= (-2z(xy-yz), 2x(x²-xz+z²-y²), 2y(x²-yz+y²))

= (2yz-zxy, xz-x²+xy²-y², -xy+y²-yz)cv

= (3z², 2x²-y², y²)

Then, calculate

[(grad f) x v].v.[(grad f) x v].v = (2yz-zxy)(2y) + (xz-x²+xy²-y²)(2z) + (-xy+y²-yz)(4x+z)

The final answer is 6x²y - 6xyz - 2xz² + 4x²z + 2yz² - 2z³.

After performing the required calculations, we get the final answers as (0, 0, 0), 4x²y³ - 9y²z² + 2y⁵, and 6x²y - 6xyz - 2xz² + 4x²z + 2yz² - 2z³ respectively.

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The solution to equation (x+3)² - 5 = 0 is x = -3 +√5 and x = -3 - √5. The solution to equation (2x+1)(x-5)=0 is x = -1/2 and x = 5.

The quadratic function is defined as a function containing the highest power of a variable is two.

To determine the solution to equation (x+3)² - 5 = 0

(x+3)² - 5 = 0

x² + 9 + 6x - 5= 0

x²+  6x + 4 = 0

Using the quadratic formula to solve the above quadratic function

\(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

\(x=\dfrac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \:4}}{2\cdot \:1}\)

\(\sqrt{6^2-4\cdot \:1\cdot \:4}\) = 2√5

x = -6± 2√5 / 2

x = -3± √5

x = -3 +√5 and x = -3 - √5

To determine the solution to equation (2x+1)(x-5)=0

(2x+1)(x-5)=0

(2x+1) = 0 and (x-5)=0

2x = -1 and x = 5

x = -1/2 and x = 5

Thus, the solution to equation (x+3)² - 5 = 0 is x = -3 +√5 and x = -3 - √5. The solution to equation (2x+1)(x-5)=0 is x = -1/2 and x = 5.

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Answer:

  (-2, -2.5)

Step-by-step explanation:

There are an infinite number of such points. One of the easiest to write coordinates for is the one that is on the same horizontal line. Its x-value will be 4 less that that of Q.

  (-2, -2.5) is one such point

_____

Additional comment

All of the points that could be solutions are on that portion of a circle with radius 4 and center Q that lies in quadrant III. They make up the red arc in the attachment.

The probability that a randomly selected airfare between these two cities will be more than $450 is 0.2033.

Given:

Mean (μ) = $387.20

Standard deviation (σ) = $68.50

To find the probability that a randomly selected airfare between Philadelphia and Los Angeles will be more than $450,

calculate the area under the normal distribution curve above the value of $450.

Step 1: Standardize the value of $450.

To standardize the value, we calculate the z-score using the formula:

z = (X - μ) / σ

z = ($450 - $387.20) / $68.50

z= 0.916

So, the area to the right of the z-score approximately equals 0.2033.

Therefore, the probability that a randomly selected airfare between these two cities will be more than $450 is 0.2033.

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The question attached here seems to be incomplete, the complete question is:

Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probability distribution with a mean of $387.20 and a standard deviation of $68.50. What is the probability that a randomly selected airfare between these two cities will be more than $450?

0.0788

0.1796

0.2033

0.3669

Let S denote the sum

\(1\cdot3+2\cdot4+3\cdot5+\cdots+n\cdot(n+2)\)

We can condense this to sigma notation:

\(S=\displaystyle\sum_{k=1}^nk(k+2)\)

Expand the summand:

\(S=\displaystyle\sum_{k=1}^nk^2+2\sum_{k=1}^nk\)

Recall the Faulhaber formulas,

\(\displaystyle\sum_{k=1}^nk=\frac{n(n+1)}2\)

\(\displaystyle\sum_{k=1}^nk^2=\frac{n(n+1)(2n+1)}6\)

So we have

\(S=\dfrac{n(n+1)(2n+1)}6+n(n+1)=\boxed{\dfrac{n(n+1)(2n+7)}6}\)

The complete line ratio AB : BC : CD is 6 : 2 : 5

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

AB : BD = 2 : 3

AC : CD = 2 : 1

Rewrite them as

x ⇒ AB : BD = 2 : 3

y ⇒ AC : CD = 2 : 1

These ratios can be represented using the following equation

2x + 3x = 2y + y

Evaluate the sum

5x = 3y

Simplify

x = 3/5y

So, we have

AB : BC : CD

This gives

AB : CD - BD : CD

So, we have

2x : y - x : y

Solving further, we have

2 * 3/5y : y - 3/5y : y

Evaluate

6/5y : 2/5y : y

Multiply through by 5

6y : 2y : 5y

Divide through by y

6 : 2 : 5

Hence, the ratio is 6 : 2 : 5

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