What percent of 2/3 is 1/6? HELP!!!!! :(​

Answer:

We want to solve the equation:

(6 - 1) + (3m)i = -12 + 27i

Where m is a complex number.

first, we can rewrite this as:

5 + 3*m*i = -12 + 27*i

3*m*i = -12 - 5 + 27*i

3*m*i = -17 + 27*i

And we can write m as:

m = a + b*i

Replacing that in the above equation we get:

3*(a + b*i)*i = -17 + 27*i

3*a*i + 3*b*i^2 = -17 + 27*i

and we know that i^2 = -1

3*a*i - 3*b = -17 + 27*i

The real part in the left (-3*b) must be equal to the real part in the right (-17)

then:

-3*b = -17

b = -17/-3 = 17/3

And the imaginary part in the left (3*a) must be equal to the imaginary part in the right (27)

then:

3*a = 27

a = 27/3.

Then the value of m is:

m = a + b*i = (27/3)  + (17/3)*i

The probability of getting at least one head is 15/16.

What is probability?

The ratio of positive outcomes to all possible outcomes of an event is known as the probability.

Formula for probability = favourable outcomes/ total outcomes

Main body:

if 4 coins are tossed , total no. of outcomes = 2⁴ = 16

In a toss there are 2 outcomes T or H

so, Probability of getting Head = 1/2

The probability of getting at least 1 head = 1- probability of getting no heads

⇒1 - Probability of getting tail in 4 tosses

⇒ 1 - (1/2)⁴

⇒ 1 - 1/16

⇒ 15/16

So the probability of getting at least one head is 15/16.

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Answer:

$4,368

Step-by-step explanation:

This is  compound interest. and to calculate compound interest, which is (Amount - Principal) but we dont know the value for amount so we find the amount first by using the formula.

              A =  P ( 1 +   R ) ^n

                                100      

where p = principal    ($8,950)            

a =  amount       (?)

r =  interest rate    (6.85%)

n = time ( no of years)    (6)

A  =  8,950   ( 1   +   6.85 ) ^6

                             100                  A = 8,950 ( 1 + 0.0685) ^6

A = 8,950  ( 1.0685) ^6    

A = 8950 x 1.4881    A = 13,318

WE THEN FIND COMPUND INTEREST   C = A MOUNT - PRINCIPAL

13, 318 - 8950    = $4,368

The implicit differentiation of the given function is dy/dx = ((-4x-8y))/((8x +12y+ 13)).

In implicit differentiation, each side of an equation with two variables (usually x and y) are differentiated by treating one of the variables as a function of the other. The technique of implicit differentiation enables the determine the derivative of y with respect to x without having to solve the given equation for y. The chain rule must be used whenever the function y is being differentiated because of the assumption that y may be expressed as a function of x.

In order to find the differentiate implicitly,

d/dx  (2x^2+8xy+6y^2+13y-2)=0

4x + 8y + 8xdy/dx + 12ydy/dx + 13dy/dx = 0

dy/dx (8x + 12y + 13) = -4x -8y

dy/dx = ((-4x-8y))/((8x +12y+ 13))  

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Answer: the simple interest rate of 4.5%

Step-by-step explanation:

What Is Simple Interest?

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to specific loans. It's also the type of interest that banks pay customers on their savings accounts.

The formula to determine simple interest is an easy one. Just multiply the loan's principal amount by the interest rate by the term.

This type of interest usually applies to automobile or short-term loans, although some mortgages use this calculation method.

What is compound interest?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest. It is the result of reinvesting interest, adding it to the loaned capital rather than paying it out, or requiring payment from the borrower so that interest in the next period is then earned on the principal sum plus previously accumulated interest. Compound interest is standard in finance and economics.

Compound interest is contrasted with simple interest, where previously accumulated interest is not added to the principal amount of the current period, so there is no compounding. The simple annual interest rate is the interest amount multiplied by the number of periods per year. The simple annual interest rate is also known as the nominal interest rate (not to be confused with the interest rate not adjusted for inflation, which goes by the same name).

Answer:

ASA

Step-by-step explanation:

As per the concept of unitary method, the another way to express 8 feet is 2 ²/₃ yards.

In math, unitary method is known as a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

Here we have given that a clothesline rope is 8 feet long.

Now we need to find another way to express 8 feet.

We know that the formula to convert the measurement it to divide the length by the conversion ratio.

As we know that one yard is equal to 3 feet, then we can use this simple formula to convert is written as

=> yards = feet ÷ 3

Here the equivalent yard measurement is written as,

=> yards = 8 ÷ 3

Then we have to convert the improper fraction into mixed fraction form, then we get,

=> 2 ²/₃ yards.

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P/s : I'm not sure

Ok done. Thank to me :>

Answer:

the answer will be

Step-by-step explanation:

\( \sqrt{18} - \sqrt{50} \\ 3 \sqrt{2} - 5 \sqrt{2} \\ (3 - 5) \sqrt{2} \\ - 2 \sqrt{2} is \: the \: answer\)

\(-2\sqrt{2}\)

Main concepts

Concept 1. Radical Terminology

Concept 2. simplifying radicals

Concept 3. Combining like terms

Concept 1. Radical Terminology

For a radical like \(\sqrt[3]{5}\), the "3" (the number written in the little nook) is called the index of the radical, and the "5" (the number/expression) inside of the radical is called the radicand.

Concept 2. simplifying radicals

Note that for our given expression, the index is not explicitly written for either radical.  By default, the index is 2.  If we wrote them in explicitly, the expression would look like this:  \(\sqrt[2]{18}-\sqrt[2]{50}\)

To simplify radicals by hand, factor the radicand (usually completely down to primes), and form groups of matching numbers where the group size is the index of the radical.  In this case, the index is "2", so we're looking for pairs of numbers that match after we factor (if it were a cube root, we'd be looking for triplets):

Factoring the first radicand

18

= 3*6

= 3 * 3*2

= (3*3) * 2

Factoring the second radicand

50

= 2 * 25

= 2 * 5*5

= 2 * (5*5)

So, we can rewrite our expression as follows:

\(\sqrt[2]{(3*3)*2}-\sqrt[2]{2*(5*5)}\)

Once you've found a group that matches (again, in this case, pairs), it can be factored out of the radical (only bring out one number/letter from each group to represent the group).

From the first radical, we have a pair of 3s, so it would simplify to \(3\sqrt[2]{2}\)

Similarly, in the second radical, we have a pair of 5s, so it would simplify to \(5\sqrt[2]{2}\)

So, altogether, our expression would simplify to the following at this point...

\(3\sqrt[2]{2}-5\sqrt[2]{2}\)

Side note: If everything factored out of the radical, it was a perfect "index" number (in this case, a perfect square number).  If this happens, there is no radical left over at the end, and all of the numbers that were factored out, multiply together to make the answer.

Since we're done factoring numbers out of each radical, we don't need the index for each radical written in explicitly to remind us what size group we need, so let's remove them again, and let it be blank to represent the default index of "2".

\(3\sqrt{2}-5\sqrt{2}\)

Concept 3. Combining like terms

Notice that both 3, and the negative 5 are multiplied to a short expression, and that that expression,  \(\sqrt{2}\), is exactly the same in both cases.  This means we could apply the "reverse" distributive property and factor \(\sqrt{2}\)  out of both terms...

\((3-5)\sqrt{2}\)

For some people, it can be easier to think of subtraction as addition of a negative number, so we'll rewrite it:

\((3+(-5))\sqrt{2}\)

Adding positive and negative numbers together, the number with the larger magnitude (the -5 in this case), determines the sign of the result.  The result is then just the difference of the two numbers' magnitudes, with the appropriate sign: -2

So the final simplified expression would be: \(-2\sqrt{2}\)

The solutions to the equation tan(x) = 0 within the interval [0, 2π) are x = 0 and x = 2π. To solve the equation tan(x) = 0 within the interval [0, 2π), we can consider the properties of the tangent function and its periodicity.

The tangent function is defined as the ratio of the sine and cosine functions: tan(x) = sin(x)/cos(x).

First, we note that tan(x) is equal to 0 when sin(x) = 0 and cos(x) ≠ 0. This occurs when x is an integer multiple of π.

In the given interval [0, 2π), the solutions for tan(x) = 0 are x = 0, π, and 2π.

However, we need to consider that the tangent function has vertical asymptotes at x = π/2 and 3π/2, where the cosine function is equal to zero. Therefore, the values x = π/2 and 3π/2 are not solutions within the given interval [0, 2π).

So, the solutions that lie within the interval [0, 2π) and satisfy tan(x) = 0 are x = 0 and x = 2π.

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The excel function that will be utilized to determine the likelihood that a person chosen at random from this area would have a systolic blood pressure of more than 115 mm hg is =1-NORM.DIST(115,112,15,TRUE)

The Excel Statistical functions section includes the NORM.DIST Function. It will determine the likelihood that variable x will go below or coincide with a certain value. In other words, it will determine the cumulative normal distribution function or the normal probability density function for a specific set of parameters. The mean for returns and the standard deviation for risk are two metrics that the normal distribution uses to quantify the two concepts of risk and return.

The formula used: =NORM.DIST(x,mean,standard_dev,cumulative)

The excel function that will be utilized to determine the likelihood that a randomly chosen individual from this area would have a systolic blood pressure higher than 115 mm hg is =1-NORM.DIST(115,112,15,TRUE)

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Therefore, on average, a customer arriving during the morning rush would wait approximately 2.17 hours to be served.

To determine the average waiting time for a customer arriving during the morning rush at the coffee shop, we need to consider the arrival rate and the capacity of the shop.

Given that 100 customers per hour arrive at the coffee shop during the two-hour morning rush, and the shop has a capacity of 80 customers per hour, we can conclude that there will be more customers arriving than the shop can accommodate.

To calculate the average waiting time, we need to account for the time spent by customers who have to wait due to the shop being at full capacity. For simplicity, let's assume that customers arrive uniformly throughout the two-hour period.

During the first hour (8 a.m. to 9 a.m.), there will be 100 customers arriving, but the shop can only serve 80 customers. Therefore, 20 customers will have to wait for their turn to be served.

During the second hour (9 a.m. to 10 a.m.), again, 100 customers will arrive, but since the shop is already at full capacity, all 100 customers will have to wait for their turn.

In total, during the two-hour morning rush, there will be 20 customers who wait for one hour and 100 customers who wait for the entire two hours.

To calculate the average waiting time, we can sum up the waiting times and divide by the total number of customers:

Average waiting time = (20 * 1 hour + 100 * 2 hours) / (20 + 100) = (20 + 200) / 120 = 2.17 hours

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Answer:

8x-40

Step-by-step explanation:

Step-by-step explanation:

the answer is...

8x-40

Please follow me!!!

Answer:

x=1 y=-3

Step-by-step explanation:

given example: y=6x+3

                          y=-x-4

6x+3=-x-4

6x+x=-4-3

7x=-7

x=-1

6*(-1)+3=-3

y=-3

Answer:

sorry it's too long

Step-by-step explanation:

Simplifying

3y + 3(1 + -1y) + -1y = 6

3y + (1 * 3 + -1y * 3) + -1y = 6

3y + (3 + -3y) + -1y = 6

Reorder the terms:

3 + 3y + -3y + -1y = 6

Combine like terms: 3y + -3y = 0

3 + 0 + -1y = 6

3 + -1y = 6

Solving

3 + -1y = 6

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -1y = 6 + -3

Combine like terms: 3 + -3 = 0

0 + -1y = 6 + -3

-1y = 6 + -3

Combine like terms: 6 + -3 = 3

-1y = 3

Divide each side by '-1'.

y = -3

Simplifying

y = -3

Using the formula of volume of rectangular prism;

1. The volume of the rectangular prism is 3672cm³

2. The volume of the rectangular prism is 630in³

3. The volume of the rectangular prism is  3744ft³

The volume of a rectangular prism can be calculated by multiplying its length (l), width (w), and height (h). The formula for the volume of a rectangular prism is:

Volume = length × width × height

V = l × w × h

By substituting the given values for the length, width, and height into the formula, you can calculate the volume of the rectangular prism.

1. To find the volume of the rectangular prism, we have to substitute the value into the formula;

v = 9 * 24 * 17

v = 3672cm³

2. The volume of the rectangular prism is given as;

v = 4.5 * 14 * 10

v = 630in³

3. The volume of the rectangular prism is given as;

v = 8 * 12 * 39

v = 3744ft³

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Answer:

Option B.

Step-by-step explanation:

The general equation of best fit line is

\(y=ax+b\)

where, a is the slope of best fit line and b is y-intercept.

Using graphing calculator a=-4.54762 and b=43.7143. So equation of best fit line is

\(y=-4.54762x+43.7143\)

Here,

\(Slope=-4.54762\)

\(Slope\approx -4.5\)

Note: In alternate method, you can use the below formula to find slope.

\(m=\dfrac{\overline{x}\cdot \overline{y}-\overline{xy}}{(\overline{x})^2-\overline{x^2}}\)

Therefore, the correct option is B.

Answer:

B: -4.5

Step-by-step explanation:

edg2021

y ≈ -4.548x + 43.714 is the entire equation. So -4.548 or -4.5 is the slope.

Answer:

x = 12 and y = 23

So what we are saying is that the coordinates of Tina’s house down the street is (12,23)

Step-by-step explanation:

What this question is actually telling us is that the gas station divides the segment from George’s home to Tina’s house in the ratio 3 to 7; we now want to find the coordinates of Tina’s house which is the end of the line segment.

Mathematically, to get this division, we would have employed the use of the internal division formula;

Coordinates of gas station = (mx2 + nx1)/(m + n) , (my2 + ny1)/(m + n)

m = 3 , n = 1

(x1,y1) = (2,3)

(x2,y2) = (x,y)

So therefore;

(5,9) = 3(x) + 7(2)/3+7) , 3(y) + 7(3)/(3+ 7)

(5,9) = (3x + 14)/10, (3y + 21)/10

Hence;

(3x + 14)/10 = 5

3x + 14 = 10(5)

3x + 14 = 50

3x = 50-14

3x = 36

x = 36/3

x = 12

Also;

(3y + 21)/10 = 9

3y + 21 = 9(10)

3y + 21 = 90

3y = 90-21

3y = 69

y = 69/3

y = 23

The required probability that the total number of spots showing is less than 7 is 9.26%

The probability of an event is found by considering all possibilities that follow the given condition. The probability value cannot exceed the interval [0,1].

Three six-sided dice are rolled at the same time.

It is asked to calculate the probability that the total number of spots showing is less than 7.

If the die is rolled, possible outcomes are as given below.

S: {1, 2, 3, 4, 5, 6}

Number of elements in sample space, n(S) = 6.

Probability of any specific outcome from S = 1/6

If the three dice are rolled together, the total number of elements in the sample space will be \((6^3)\)

Then, the probability of getting any of any specific outcome from this sample will be given by: \(\frac{1}{6^3} =\frac{1}{216}\)

Find the total possibilities for which the total of outcomes of all three dice is less than 7. It is possible when we get the following outcomes.

The minimum total that we get is 3 with outcomes (1,1,1) on three dice.

For a total of 3:

Possible outcomes: [1, 1, 1]

The number of possibilities \(A_1=1\)

For total 4:

Possible outcomes: [1,1,2], [1,2,1], [2, 1, 1]

Number of possibilities \(A_2=3\)

For a total of 5:

Possible outcomes:  [1,1,3], [1,3,1], [3, 1, 1],  [1,2,2], [2,2,1], [2, 1, 2]

The number of possibilities \(A_3=6\)

For a total of 6:

Possible outcomes :  [1,1,4], [1,4,1], [4, 1, 1],[1, 2, 3] ,[1,3,2],[2, 3, 1], [3,2,1], [3, 1, 2],[2,1,3], [2, ,2 ,2]

The number of possibilities : \(A_4=10\)

The number of possibilities for which the total number of spots showing is less than 7 is given by,

\(A_1+A_2+A_3+A_4\)

=> 1+ 3+ 6+ 10

=> 20

The probability that the total number of spots showing are less than 7 is calculated below.

P = 20/216

P = 0.0926

P = 9.26%

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The given question is incomplete, complete question is:

Explain how to solve this problem:

You have three six-sided dice. When all three dice are rolled at the same time, calculate the probability of the following outcomes:

a. The total number of spots showing is less than 7

Answer:

13.33

Step-by-step explanation:

Write the equation for an inverse variation

⇒ y = k/x

Where x is degrees and y is minutes

Substitute 20 and 20 for x and y

⇒ 20 = k/20

Multiply both sides by 20 to solve k

⇒ 20 × 20 = 20 × k/20

⇒ k = 400

After solving for k, write an equation for the inverse variation

⇒ y = 400/x

Substitute 30 for x

⇒ y = 400/30

⇒ y = 40/3

⇒ y = 13.3333333333

⇒ y = 13.33

[RevyBreeze]

Answer:

$5 per adult and $3 per kid

Step-by-step explanation:

5x10=50

3x3=9

50+9=59

4x5=20

3x3=9

20+9=29

Answer:

C

Step-by-step explanation:

Answer:

Acceleration goes to a change in velocity

There are 62 number of ways in which classes to these students can be assigned. It can be solved by using the fomula of combination.

What is the formula of combination?

Following is the fomula of combination:

\(^nC_r=\frac{n!}{r!(n-r)!}\)

Here, n is the total objects available and r is the number of object need to choose from n objects.

Let six friends are A, B, C, D, E, and manoj.

Consider all 6 friends are in chemistry class. Hence, number of ways in which it can be is,

\(^6C_6\)

Consider 5 friends are in chemistry class. Hence, number of ways in which it can be is,

\(^6C_5\)

Consider 4 friends are in chemistry class. Hence, number of ways in which it can be is,

\(^6C_4\)

Consider 3 friends are in chemistry class. Hence, number of ways in which it can be is,

\(^6C_3\)

Consider 2 friends are in chemistry class. Hence, number of ways in which it can be is,

\(^6C_2\)

Consider 1 friend is in chemistry class. Hence, number of ways in which it can be is,

\(^6C_1\)

Consider no friend is in chemistry class all are in biology class. Hence, number of ways in which it can be is,

\(^6C_0\)

Hence, total number of ways in which classes can be assigned to 6 students is,

\(^6C_6+^6C_5+^6C_4+^6C_3+^6C_2+^6C_1+^6C_0=64\)

Now, the number of ways in which mnoj is alon. There are two ways. Either he will be in the chemistry class or he will be in the physics class.

Hence, subtract 2 from 64 to get the answer.

\(64-2=62\)

Hence, there are 62 number of ways in which classes to these students can be assigned.

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the answer is yes, 21

Step-by-step explanation:

you would multiply 7 and 3 to get y

The table of values and the linear equations indicates

4. Andy is correct, the equation of the table of values is; y = 2·x + 4

5. The Three equations are the same

A linear equation is an equation that produces a straight line graph, when plotted on the coordinate plane and can be expressed in the form; y = m·x + c

Where;

m = The slope of the straight line graph of the equation

c = The y-intercept

4. The values in the table indicate that the difference between consecutive terms in the x-values and the first difference in the y-value is constant, therefore, the values represent a linear relationship.

The slope, m, of the linear relationship is constant and it can be found using any two pair of points as follows;

m = (4 - 2)/(0 - (-1))  = 2

The equation is therefore;

y - 2 = 2·(x - (-1)) = 2·(x + 1) = 2·x + 2

y = 2·x + 2 + 2 = 2·x + 4

The equation, y = 2·x + 4 is in the form y = m·x + c, therefore;

Andy is correct

5. The slope-intercept form of the equation of a straight line is; y = m·x + c

Therefore;

y + 1 = 2·x -3

y + 1 - 1 = 2·x - 3 - 1 (subtraction property)

y = 2·x - 4

The equation, y = 2·x - 4, is in the form, y = m·x + c

2·x - 3 = y + 1

2·x - 3 - 1 = y + 1 - 1 (subtraction property)

2·x - 4 = y

y = 2·x - 4 (symmetric property)

The equation, y = 2·x - 4 is in the form, y = m·x + c, which is the same as the first equation

2·y + 2 = 4·x - 6

2·y + 2 - 2 = 4·x - 6 - 2 (subtraction property of equality)

2·y = 4·x - 8

2·y ÷ 2 = (4·x - 8) ÷ 2 (division property)

y = 2·x - 4

The above equation is the same as the first two equations, therefore, the equations are the same

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Answer:

Step-by-step explanation:

\(30g ----> 2.5g -fat\\566g ----> xg -fat\\30x = 1415\\\frac{30x}{30} =\frac{1415}{30} \\\\x = 47.1666\\\\x = 47.2g of Fat\)

At the end of the year, James should expect to earn $562.50 in interest on his savings account.

To calculate the interest that James should expect to earn at the end of the year, we can use the simple interest formula:

Interest = Principal × Rate × Time

Given:

Principal (P) = $12,500

Rate (R) = 4.5% (expressed as a decimal, so 4.5/100 = 0.045)

Time (T) = 1 year

Plugging in these values into the formula:

Interest = $12,500 × 0.045 × 1

= $562.50

Therefore, James should expect to earn $562.50 in interest at the end of the year.

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Answer: the real answer for this will be p=3/2 and s=5

Step-by-step explanation: here

2p=3

2p/2=3b/2 divide both sides by 2

P=3/2

3/2 for p in s=5

S=5

S=5

Answer P=3/2 and s= 5

Got it

Hey there!

“Evaluate 2ps for p=3 and s=5”

• Side note: If p = 3 then SUBSTITUTE where “p” is at in the equation; if s = 5 then SUBSTITUTE where “s” is at in the equation!

• New equation: 2(3)(5)

2(3)(5)

2(3) = 6

6(5) = 30

Answer: A. 30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)