whats is x − 2 /3 = 1 5 /6??

The numbers are 666666 X 4443332221119111. The number solved multiplication is \(2.962218518 \times10^{21}\).

Given that,

The numbers are 666666 X 4443332221119111

We have to solve the number multiplication.

Multiplication means the fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The outcome of multiplying two or more numbers is referred to as the product of those numbers, and the factors are the quantities that are multiplied. Multiplying the numbers makes it simpler to add the same number repeatedly.

666666 X 4443332221119111

\(2.962218518 \times10^{21}\)

Therefore, the number solved multiplication is \(2.962218518 \times10^{21}\).

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Answer:

A translation down 4 units followed by a translation right 7 units

Step-by-step explanation:

If you move the center down 4 units, it is on the same horizontal line as the other circles center, and by reflecting the circle across the y-axis gives align both circles

The transformations are a shift of 4 units to the right and a shift of 4 units down.

On the image, we can see that the radius does not change, so we only have translations.

The center goes from (-2, 5) to (2, 1).

So we have a horizontal shift of 4 units (from -2 to 2)

And a vertical shift of -4 units (from 5 to 1).

Then the transformations are a shift of 4 units to the right and a shift of 4 units down.

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The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

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The steps for writing the equation of this cubic polynomial function involve, substituting given points in f(x) = k(x - a)²(x - b) and taking derivative.

If a cubic polynomial function has the same zeroes, it means that it has a repeated root. Let's say that the repeated root is "a". Then, the function can be written in the form:

f(x) = k(x - a)²(x - b)

Where "k" is a constant and "b" is the other root. However, we still need to determine the values of "k" and "b".

To do this, we can use the fact that the function passes through the coordinate (0, -5). Plugging in x = 0 and y = -5 into the equation, we get:

-5 = k(a)²(b)

We also know that "a" is a repeated root, which means that the derivative of the function at "a" is equal to zero:

f'(a) = 0

Taking the derivative of the function, we get:

f'(x) = 3kx² - 2akx - ak²

Setting x = a and f'(a) = 0, we get:

3ka² - 2a²k - ak² = 0

Simplifying this equation, we get:

a = 3k

Substituting this into the equation -5 = k(a)²(b), we get:

-5 = k(3k)²(b)

Simplifying this equation, we get:

b = -5 / (9k²)

Now we know the values of "k" and "b", and we can write the cubic polynomial function:

f(x) = k(x - a)²(x - b)

Substituting the values of "a" and "b", we get:

f(x) = k(x - 3k)²(x + 5 / 9k²)

Therefore, this is the equation of the cubic polynomial function that has the same zeroes and passes through the coordinate (0, -5).

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The equation to illustrate this will be 600 + 28m m.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

In this situation, the owners of a recreation area are filling a small pond with water and they are adding water at a rate of 28 liters per minute. There are 600 liters in the pond to start.

The equation to illustrate this will be:

= 600 + (28 × m)

= 600 + 28m

m = number of minutes.

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Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 28 liters per minute. There are 600 liters in the pond to start. Write the equation to illustrate this.

The angle in standard position is  150°

The angle of any position (x, y) on a graph is given by Ф = tan⁻¹(y/x).

Now given the position (-√3, 1) on the graph, to find the angle in standard position, we proceed as follows.

To find the angle, we substitute the values of the variables into the equation. so, we have that

Ф = tan⁻¹(y/x)

Given that

Ф = tan⁻¹(y/x)

Ф = tan⁻¹(1/-√3)

= tan⁻¹(-1/√3)

= 180° - tan⁻¹(1/√3)

= 180° - 30°

= 150°

So, the angle is  150°

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Answer:

my laptop doesnt let me download pdf :/

1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.

  The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.

  Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word

  Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.

  Probability of choosing AA = Number of favorable outcomes / Total number of outcomes

  Probability of choosing AA = 0 / 30 = 0.

Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

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Answer:

8.1

Step-by-step explanation:

The distance between Points M and N is 8.062258

so to round it to the nearest tenth will be to first look at the second decimal, if it is higher then 5 then it crosses over to the first decimal in this case that is zero so it then becomes 1.

Answer:

Either 36.35 or 16.00173

Step-by-step explanation:

the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.

IF you are supposed to use inverse cosine:

16.00173

IF NOT:

36.35182

A class of 16 students can be divided into 2 A's, 2 B's, 6 C's, 3 D's, and 3 F's in 19,293,120,000 different ways.

We can solve this problem using the concept of permutations and combinations. We need to find the number of ways in which 2 A's, 2 B's, 6 C's, 3 D's, and 3 F's can be assigned to 16 students.

First, we can select the 2 students who will receive an A in 16C2 ways (using combination). After selecting the 2 A's, we can select the 2 students who will receive a B in 14C2 ways.

Next, we need to assign the 6 C's to the remaining 12 students. We can do this in 12C6 ways. After this step, we have 6 students left to assign D's and F's.

Out of these 6 students, we can select 3 who will receive a D in 6C3 ways. The remaining 3 students will receive an F.

Therefore, the total number of ways in which the assignment can be made is:

16C2 * 14C2 * 12C6 * 6C3 = 120 * 91 * 924 * 20 = 19,293,120,000

Therefore, there are 19,293,120,000 ways in which a class of 16 students can be assigned 2 A's, 2 B's, 6 C's, 3 D's, and 3 F's.

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Answer:

1. The Positive Integers - Natural Numbers

2. An Ordering of Quantities Separated by Commas - Sequence

3. The Sum of The Terms of an Associated Sequence - Series

4. One of The Individual Quantities of a Sequence - Term of a Sequence

5. A Formula That Yields The Value of a Term When That Term is Substituted In It - General Term of a Sequence

6. A Series That Has a Common Difference Between Terms - Arithmetic Series

7. A Series That Has a Common Ratio Between Terms Sequence - Geometric Series

8. A Sequence in Which Each Successive Terms Changes Sign - Alternating Sequence

Series are sum of terms of sequences. The names of each of the items specified are specified below.

Sequence is an ordering of numerical or mathematical quantities separated by commas, and series is sum of terms of sequences if addition is defined for those terms.

For the considered definitions, their names are given as:

1. the positive integers : It is called Natural Numbers. Example: 4 is a natural number.

2. an ordering of quantities separated by commas: Sequence

Example: 2,4,6...

3. the sum of the terms of an associated sequence: Series

Example: 2 + 4 + 6 + ...

4. one of the individual quantities of a sequence term of a sequence: Term

5. a formula that yields the value of a term when that term is substituted in it: general term of a sequence

6. a series that has a common difference between terms: Arithmetic series

7. a series that has a common ratio between terms: Geometric series

8. a sequence in which each successive terms changes sign: Alternating sequence

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Yes, the test in an "if" function must evaluate to either a True or a False value.

An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.

When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.

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The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

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The probability that the average fracture strength of 100 randomly selected pieces will be equal to 33.19%.

In order to find the probability first we find the Z score. The Z score related the standard deviation and the mean of any data as

Z = X - μ/σ where Z is the Z score, X is the random variable, μ is the mean and σ is the standard deviation.

The standard deviation of the randomly selected 100 variables will be given as

s = σ/√n where n = 100 and σ = 2

s = 2/√100

s = 0.2

Now, the Z score for this data will be

Z = X - μ/s where X = 13.8, and μ = 13.5 and the value of s = 0.2

Z = 13.8 - 13.5/0.2

Z = 1.5

Now, for Z = 1.5 the p value will be 0.66807

The probability will be P = 1 - 0.66807 = 0.33193 that is 33.19%

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4×4×4×4×4 = 4 ^ (5)

(1) (2) (3) (4) (5)

4^5 ( )

Tasha is correct, we can rewrite the difference of given two numbers as the product of GCF of the two numbers and another difference

Greatest Common Factor: The greatest common factor is the largest factor which is common to two or more numbers. For example, the factors of 4 are 1, 2, and 4, and factors of 16 are 1, 2, 4, 8, and 16. We can see that 1, 2, and 4 are the common factors and in these 4 is the largest common factor as compared to 1 and 2. Therefore, 4 is the greatest common factor of 4 and 16.

given in the question that Tasha believes that she can rewrite the difference 84-60 as a product of the GCF of the two numbers and another difference

   84-60=24

we can write this as,

=12(7-5)  where 12 is the greatest common factor of 84 and 60

=12(2)

= 24

She is correct

we can rewrite the difference of given two numbers as the product of GCF of the two numbers and another difference

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240÷90= between 2 and 3

170÷60= between 2 and 3

250÷80= between 3 and 4

140÷40= between 3 and 4

170÷70= between 2 and 3

110÷30= between 3 and 4

there we go! :)

a. True. The product of two 2 x 2 matrices A and B is given by the formula AB = [a1*b1 + a2*b3, a1*b2 + a2*b4; a3*b1 + a4*b3, a3*b2 + a4*b4], where a1, a2, a3, and a4 are the elements of A and b1, b2, b3, and b4 are the elements of B.

In this case, the columns of A are ay and az, and the columns of B are bI and ba. So, the product AB is given by [ay*bI + az*ba, ay*ba + az*bb], which is equivalent to [a,b ab].

b. True. Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A. This is because the elements of each column of AB are obtained by multiplying the elements of the corresponding column of A with the elements of the corresponding row of B and summing the products.

c. True. The sum of two matrices is obtained by adding the corresponding elements of the matrices.

So, AB+ AC = [a1*b1 + a2*b3 + a1*c1 + a2*c3, a1*b2 + a2*b4 + a1*c2 + a2*c4; a3*b1 + a4*b3 + a3*c1 + a4*c3, a3*b2 + a4*b4 + a3*c2 + a4*c4] = [a1*(b1+c1) + a2*(b3+c3), a1*(b2+c2) + a2*(b4+c4); a3*(b1+c1) + a4*(b3+c3), a3*(b2+c2) + a4*(b4+c4)] = A(B+C).

d. True. The transpose of a matrix is obtained by flipping the matrix along its main diagonal. So, AT + BT = [a1, a3; a2, a4] + [b1, b3; b2, b4] = [a1+b1, a3+b3; a2+b2, a4+b4] = (A + B)T.

e. False. The transpose of a product of matrices equals the product of their transposes in the reverse order. So, if A and B are two matrices, then (AB)T = BT*AT.

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Answer:

Eric's father works for 5 hours in the afternoon

Step-by-step explanation:

Eric's father works two part time jobs, one in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek.

Step 1

The number of hours he works each days is calculated as:

40 hours÷ 5days

= 8 hours per day.

Hence, he works 8 hours per day.

Step 2

We are told in the question that:

If his schedule is the same each day, and he works 3 hours each morning, how many hours does Eric's father work each afternoon?

The total number of hours in works in a day = Number of hours worked in the morning + Number of hours worked in the afternoon

Hence:

8 hours = 3 hours + x

x = 8 hours - 3 hours

x = 5 hours

Therefore, Eric's father works for 5 hours in the afternoon

Answer:

m=40

Step-by-step explanation:

first write out the equation as shown:

-5+m/2=15

next, add 5 to both sides to isolate the term with the variable:

-5+5+m/2=15+5 which then simplifies to m/2=20

finally multiply both sides by 2 to get rid of the fraction and isolate the variable completely:

2(m/2)=(20)2 which simplifies to m=40

therefore, the solutiojn to this equation is m=40.

Answer:

13

Step-by-step explanation:

using the Pythagorean theorem  a²+b²=c²

or the two shorter sides square added together equal the longest side squared

5²+12²

5²=25

12²=144

144+25=169

then we just have to take the square root of 169

√169=12

have a great day :D

Answer:

set ={Sunday,Monday,Tuesday,Wednesda,Thursda,Friday, Saturday} and set={1,2,3,4,5}

Step-by-step explanation:

Answer:

100 degrees

Step-by-step explanation:

α=2θ

α=2(50)

α=100

It should take approximately 1.98 hours, or around 1 hour and 59 minutes, to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

To calculate the cooking time for a 5.17 pound roast, we can use the recommended guideline of 23 minutes per pound. First, we need to convert the weight from pounds to minutes, and then convert minutes to hours.

Cooking time in minutes = 5.17 pounds * 23 minutes/pound

Cooking time in minutes = 118.91 minutes

To convert minutes to hours, we divide the total minutes by 60:

Cooking time in hours = 118.91 minutes / 60

Cooking time in hours ≈ 1.98 hours

Therefore, it should take approximately 1.98 hours to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

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The topmost common factor of 6 and 30 is 6.

To find the topmost common factor( GCF) of 6 and 30.

We can determine the factors of both figures and identify the largest factor they've in common.

The factors of 6 are 1, 2, 3, and 6.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

From the common factors listed over, the largest factor that both 6 and 30 share is 6.

Thus, the topmost common factor of 6 and 30 is 6.

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Answer:

Skills Practice. Multiplying a Polynomial by a Monomial. Find each product. 1. a(4a + 3). 2. -c(11c + 4). 4a2 + 3a. -11c2 - 4c. 3. x(2x - 5). 4. 2y( y - 4).

Step-by-step explanation:

The minimum sample size required to estimate the mean weekly wage of the workers employed in the plant within plus or minus $20 with a 90% degree of confidence = 11.

To calculate the minimum sample size required to estimate the mean weekly wage of workers employed in a plant within plus or minus $20 with a 90% degree of confidence, we can use the formula for sample size determination:

n = (Z * σ / E)^2

where:

n = minimum sample size

Z = Z-score corresponding to the desired confidence level (in this case, for a 90% confidence level, Z = 1.645)

σ = standard deviation of the population

E = margin of error (in this case, $20)

The standard deviation of the weekly wages is $40 and the desired margin of error is $20, we can substitute these values into the formula:

n = (1.645 * 40 / 20)^2

Calculating this:

n = (1.645 * 2)^2

n = (3.29)^2

n = 10.8241

Since we need a whole number for the sample size, we round up to the nearest whole number:

n = 11

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