The body of a
154
−
154−pound person contains approximately
2
×
1
0
−
1
2×10
−1
milligrams of gold and
6
×
1
0
1
6×10
1
milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?​

​Enter your answer in the box.

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

a.) The statement P(1) is obtained by substituting n=1 into the equation. So, P(1) would be: 1³ = (1(1 + 1) / 2)²

b.) To show that P(1) is true, we need to prove that both sides of the equation are equal:

Left side: 1³ = 1

Right side: (1(1 + 1) / 2)² = (1(2) / 2)² = (2 / 2)² = 1² = 1

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

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a) The equation is not true for n = 1, so P(1) is false.

b) The positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1

a) To find P(1), we substitute n = 1 into the equation given:

13 = (1(1 + 1) / 2)²

13 = (1 / 2)²

13 = 1/4

The equation is not true for n = 1, so P(1) is false.

b) To complete the basic step of the proof, we need to show that P(1) is true.

However, we have just shown that P(1) is false.

This means that the statement "for the positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1.

Therefore, the proof cannot proceed and is incomplete.

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Answer:

18$

Step-by-step explanation:

Answer:

Average value: 87,125

Step-by-step explanation:

(82,84,84,87,88,90,90,92)  ↔  8

(82+84+84+87+88+90+90+92)/8 = 697/8 = 87,125

The bullwhip measure for Super Toy Mart can be calculated using the formula Bullwhip measure = Variance of orders / Variance of demand

a)In this case, the variance of orders is given as 12,000 units and the variance of demand is given as 10,000 units. Plugging these values into the formula:

Bullwhip measure = 12,000 units / 10,000 units = 1.2

Therefore, the bullwhip measure for Super Toy Mart is 1.2.

b. The bullwhip effect refers to the amplification of demand variability as we move upstream in the supply chain. A bullwhip measure greater than 1 indicates an amplifying effect, suggesting that the fluctuations in demand are magnified as they propagate upstream.

In this case, since the bullwhip measure is 1.2, it indicates that Super Toy Mart is experiencing an amplifying effect on the supply chain. This means that the demand fluctuations are being magnified as they move from the customer to Super Toy Mart. This can result in inefficiencies such as increased inventory holding costs, stockouts, and production inefficiencies.

Super Toy Mart should focus on reducing the bullwhip effect by improving demand forecasting, communication, and coordination with its suppliers and customers. By reducing the amplification of demand fluctuations, they can achieve a more efficient and responsive supply chain.

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The ratio tells us how often one number is contained in another. In the class, there are six girls for every five boys. D is the right answer.

A ratio is an ordered pair of numbers a and b, expressed as a / b, where b is not equal to 0. A percentage is an equation in which two ratios are made equal to one another. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) One-fourth are boys and three-fourths are girls.

The ratio tells us how often one number is contained in another.

Considering that 96 of the 176 junior students are female. Consequently, the class's gender distribution is,

96 girls are present.

80 boys out of 176, or 96 boys.

Currently, the junior class's gender distribution is as follows:

Girls to Boys in Ratio

96 girls and 80 boys.

Divide the numerator and denominator by 16 to simplify.

Boys/Girls: 6 to 5.

Therefore, the answer is option d) 6:5.

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Answer:

 z=  0.0000 - 2.0000 i

 z=  0.0000 + 2.0000 i

Step-by-step explanation: i used an algebraic calculator to find the two answers

Answer:

4/z + 4/3z - z/3= 0

12+4-z²/3z=0

12+4-z²=0

Z²=16

SO Z could be -4 or 4

I hope it helps❤

please give me brainliest

The correct answer is x = -1 and the remainder of the division is -22.

Kayla proceeds to the correct answer by using the remainder theorem which states that if a polynomial f(x) is divided by x-a, then the remainder is equal to f(a). In this case, Kayla evaluates the numerator of the rational expression when x = -1, since -1 is the value that makes x+1 equal to zero, which is the factor of the divisor (x+1).

Evaluating the expression, she gets a remainder of -22. Therefore, the correct answer is x = -1 and the remainder of the division is -22.

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The main function of the female reproductive system is to allowing a person to have sexual intercourse, it also helps a person reproduce.

Both internal and exterior organs make up the female reproductive system. It is in charge of hormone production, menstruation, and sexual activity.

The physical parts that assist women or those who were assigned female at birth (AFAB) are the female reproductive system:

Have a sexual encounter.

Reproduce.

Menstruate.

The female reproductive system serves a number of purposes. It aids in sexual reproduction in addition to enabling sexual activity.

You make eggs using your ovaries. During ovulation, these eggs are subsequently moved to your fallopian tube where sperm fertilisation may take place. The fertilised egg is then transferred to your uterus, where the lining has expanded due to the regular hormones produced during your menstrual cycle (also called your reproductive cycle).

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The reproductive system of a woman performs three primary tasks: releasing eggs that may be fertilized by sperm; (ii) producing female sex hormones including progesterone and oestrogen; and (iii) creating a favorable environment for the development of a fertilized egg during pregnancy.

The female reproductive system is made up of both internal and external organs. Menstruation, sexual activity, and hormone production are all under its control.

The female reproductive system is one of the physical components that helps women or people who were given that gender at birth (AFAB):

Engage in sexual activity.

Reproduce.

Menstruate.

There are many uses for the female reproductive system. Along with permitting sexual activity, it also promotes sexual reproduction.

A woman's reproductive system primarily serves to: I release eggs that may be fertilized by sperm; (ii) produce female sex hormones like progesterone and oestrogen; (iii) create an environment for a fertilized egg to develop throughout pregnancy; and (iv) facilitate labor and childbirth.

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Ex

We can use basic arithmetic operations to to transform the linear equation 6x+5y=15 into 5y=15-6x.

What is a linear equation, exactly?

A linear equation is an algebraic equation that represents a straight line on a graph. It is an equation of the form y = mx + b, where x and y are variables, m is the slope or gradient of the line, and b is the y-intercept.

In general, a linear equation can be written in the form ax + by = c, where a, b, and c are constants.  However, this form can be converted into the slope-intercept form (y = mx + b) by solving for y and rearranging the terms.

Now,

To transform the equation 6x + 5y = 15 into the form 5y = 15 - 6x, we can use basic algebraic operations such as addition, subtraction, multiplication, and division to isolate the variable we want to solve for (in this case, y) on one side of the equation.

Start with the equation 6x + 5y = 15.

Subtract 6x from both sides of the equation to isolate the term with y. This gives:

5y = 15 - 6x

So, we can use basic algebraic operations such as subtraction.

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Right question:-

Explain how you can use basic movies to transform the equation 6x+5y=15 into 5y=15-6x

The present value of Mark's prize, considering the $10,000 annual payments for 10 years and the subsequent $20,000 annual payments for 30 years, with an 8% discount rate, amounts to $171,391.44.

To calculate the present value of Mark's prize, we need to determine the current worth of the future cash flows he will receive. The $10,000 annual payments for 10 years can be considered an annuity, while the subsequent $20,000 annual payments for 30 years can be viewed as a perpetuity starting from the 11th year.

First, we calculate the present value of the annuity using the formula for the present value of an ordinary annuity:

PV_annuity = \(C * [1 - (1 + r)^(-n)] / r\),

where PV_annuity is the present value of the annuity, C is the annual cash flow, r is the discount rate, and n is the number of years. Plugging in the values, we have:

PV_annuity = $10,000\(* [1 - (1 + 0.08)^(-10)] / 0.08\) = $85,394.45.

Next, we calculate the present value of the perpetuity using the formula for the present value of a perpetuity:

PV_perpetuity = C / r,

where PV_perpetuity is the present value of the perpetuity. Plugging in the values, we have:

PV_perpetuity = $20,000 / 0.08 = $250,000.

Finally, we sum up the present values of the annuity and the perpetuity to obtain the total present value:

Total present value = PV_annuity + PV_perpetuity = $85,394.45 + $250,000 = $335,394.45.

Therefore, with an 8% discount rate, the present value of Mark's prize is $171,391.44.

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Answer: Yes write it like \(x=\sqrt{90}\)

Step-by-step explanation:

The equation says   \(x^{2} = 90\)   In this case, the square root of 90 squared will equation to 90 so  x is the square root of 90.

Answer:

129

Step-by-step explanation:

If you are finding the answer of the hole thing you need to add 49+90

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer:

try B if not maybe C

Step-by-step explanation:

Answer:

\(\frac{-1+-i\sqrt{17} }{6}\)

Step-by-step explanation:

\(\sqrt{68}=2\sqrt{17}\)

To compute the performance measures using the Naive Forecast, we need to use the actual values from April to December.

ME (Mean Error) is the average of the forecast errors. To compute it, we subtract the actual values from the forecasts and take the average. In this case, since we are using the Naive Forecast, the forecast for each month is equal to the actual value of the previous month. Therefore, we have:

ME = (1086 - 1008) + (1081 - 1086) + (1036 - 1081) + (1058 - 1036) + (1128 - 1058) + (1113 - 1128) + (1027 - 1113) + (1021 - 1027) + (1081 - 1021) = -29

The MSE (Mean Squared Error) is the average of the squared forecast errors. To compute it, we square each forecast error, sum them up, and then divide by the number of observations. In this case, we have:

MSE = [(1086 - 1008)^2 + (1081 - 1086)^2 + (1036 - 1081)^2 + (1058 - 1036)^2 + (1128 - 1058)^2 + (1113 - 1128)^2 + (1027 - 1113)^2 + (1021 - 1027)^2 + (1081 - 1021)^2] / 9 = 2218

MAD (Mean Absolute Deviation) is the average of the absolute forecast errors. To compute it, we take the absolute value of each forecast error, sum them up, and then divide by the number of observations. In this case, we have:

MAD = (|1086 - 1008| + |1081 - 1086| + |1036 - 1081| + |1058 - 1036| + |1128 - 1058| + |1113 - 1128| + |1027 - 1113| + |1021 - 1027| + |1081 - 1021|) / 9 = 33

MAPE (Mean Absolute Percentage Error) is the average of the absolute forecast errors as a percentage of the actual values. To compute it, we divide each absolute forecast error by the actual value, sum them up, and then divide by the number of observations. In this case, we have:

MAPE = (|1086 - 1008| / 1008 + |1081 - 1086| / 1086 + |1036 - 1081| / 1081 + |1058 - 1036| / 1036 + |1128 - 1058| / 1058 + |1113 - 1128| / 1128 + |1027 - 1113| / 1113 + |1021 - 1027| / 1027 + |1081 - 1021| / 1021) / 9 * 100 = 2.99%

The Tracking Signal is the ratio of the cumulative forecast errors to the MAD. To compute it, we sum up the forecast errors and divide by the MAD. In this case, we have:

Tracking Signal = (-29) / 33 = -0.88

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We can calculate the line equation with two points the following manner:

For problem 19, we have:

For problem 20, we have:

For problem 21 and 22, we have to graph the equations, to do that we need to find two points on the line.

For problem 21, we can choose x = 2 and x = 3 and found the respective y-value:

With the points (2, -3) and (3, -1) we can graph the line:

The level of Q that will yield the maximum net benefits is 4.92, and the maximum level of benefits is 96.

To find the level of Q that maximizes net benefits, we need to calculate the difference between the total benefits (B(Q)) and the total costs (C(Q)). In this case, the net benefits (NB) can be represented as NB(Q) = B(Q) - C(Q).Given B(Q) = 40Q - 2\(Q^2\) and C(Q) = 4 + 2\(Q^2\), we can substitute these expressions into the net benefits equation:
NB(Q) = (40Q - 2\(Q^2\)) - (4 + 2\(Q^2\))
Simplifying, we get:
NB(Q) = 40Q - 2\(Q^2\) - 4 - 2\(Q^2\)
NB(Q) = -4\(Q^2\) + 40Q - 4
To find the level of Q that maximizes net benefits, we need to find the value of Q that maximizes NB(Q). This can be done by finding the maximum point of the quadratic function. In this case, the maximum point occurs at the vertex of the quadratic.
The formula for the x-coordinate of the vertex of a quadratic function of the form a\(x^2\) + bx + c is given by x = -b / (2a). In our case, a = -4 and b = 40.

Calculating the x-coordinate of the vertex:
Q = -40 / (2 * -4)
Q = 40 / 8
Q = 5
Therefore, the level of Q that yields the maximum net benefits is Q = 5. Plugging this value back into the net benefits equation, we can calculate the maximum level of benefits:
NB(5) = -4\((5)^2\) + 40(5) - 4
NB(5) = -4(25) + 200 - 4
NB(5) = -100 + 200 - 4
NB(5) = 96
Hence, the maximum level of benefits is 96.

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Answer:frfr it made hard

Step-by-step explanation:

Answer:

9 - y

Step-by-step explanation:

less than means Subtraction

Answer:

  (a)  $810.45

Step-by-step explanation:

You want the value of an investment of $300 earning 5% interest compounded quarterly for 20 years.

The compound interest formula tells you the value is ...

  A = P(1 +r/n)^(nt)

where P = 300, r = 0.05, n = 4, t = 20.

Using the given parameters in the given equation, you find the account value to be ...

  A = $300(1 +0.05/4)^(4·20) ≈ $810.45

__

Additional comment

The "rule of 72" tells you the account value will approximately double in a number of years equal to 72 divided by the interest rate percentage: 72/5 = 14.4 years. After 20 years, it will be worth more than that doubled amount, $600. This only leaves one reasonable answer choice.

<95141404393>

Answer:

1. 1.28

2. 55

3. +

Step-by-step explanation:

1. 0.043 x 10 {3}

= 0.043 x (10 x 3)

= 0.043 x 30

= 1.28

2. 5 + (9) (6) - 4

= 5 + 9 x 6 - 4

= 5 + 54 - 4

= 59 - 4

= 55

3. Which of the these operations should be completed last when solvingan equation?

a. x

b. +

c. ()

d.÷

b. +

Answer: 12 square units

Step-by-step explanation: first you must count hom many units there are between points A and B, which is 4, and then count the points between B and C, which is 6.

Now that we have the units we do 6 x 4 = 24, however, you may be asking why we do not do 24 then, well if you were to be doing 6 x 4, you would be getting the area of a rectangle, and half of a rectangle is a triangle, so we have to do 24/2 which equals 12.

1) Because \(\angle AOC\) is a central angle, the answer is 50 degrees.

2) By the inscribed angle theorem, the answer is 25 degrees.

Answer:

4:2:3

Step-by-step explanation:

First you need to divide each number by a common factor like 2.

1. 16:8:12

Divide all numbers by two

8:4:6

Divide by two again

4:2:3

Since, you cannot simplify all of them again, the asnwer is

4:2:3

Answer:

4:2:3

Step-by-step explanation:

Blue : Green : Red

 16   :      8    :  12

  4   :       2   :    3

When a sample has the same characteristics as the target population, the sample is said to be a representative sample.

When a sample has the same characteristics as the target population, the sample is said to be a representative sample.

Let's take a look at this definition in more detail below:

A representative sample is a sample that adequately represents the population, which is selected randomly, so that each member of the population has an equal chance of being included. A representative sample should have the same characteristics of the population it represents.

To get a representative sample, researchers must select participants randomly. A representative sample has the same distribution of variables as the population in which it was derived. It is generally believed that a representative sample is necessary for generalizing the results to the population

Therefore, the results obtained from a representative sample can be generalized to the larger population.In a nutshell, a representative sample is a sample that represents the population from which it was selected. It should have similar characteristics to the population from which it was drawn.

A representative sample is a necessary prerequisite for generalizing the results to the larger population. It ensures the accuracy of the study and the validity of the results obtained. The sample size should be large enough to provide adequate statistical power and enable the results to be generalized to the population.

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Answer:  8.94 is the length of GI

Step-by-step explanation: The two triangles are similar, so the ratios of the sides to each other will be the same.

the unknown length of GI in triangle FIG corresponds to the known length 20 of IH in Triangle GIH, and the known length 4 of side FI in triangle FIG corresponds to GI in Triangle GIH. So the ratio looks like 4:x as x:20

4/x = x/20  multiply both sides by x and 20 to "cancel" the denominators.

20x(4/x) = 20x(x/20)

80 = x²    Calculate the square roots  

√x² = x . √80 = 8.94