Write 7320 correct to one significant figure

The 3 : 7 ratio into which the amount of money is shared by Moira and Non where Non gets $28 more than Moira, indicates;

a) The total amount of money they share is $70

b) The amount Moira gets is $21, while the amount Non gets is 3 : 7

A ratio is a quantitative expression that specifies the number of times a value is contained within another value.

The ratio by which Moira and Non share the money = 3 : 7

The amount Non gets = 28 + The amount Moira gets

Let x represent the amount Moira gets, therefore;

The amount Non gets = 28 + x

The specified ratio indicates;

\(\dfrac{x}{28 + x} = \dfrac{3}{7}\)

7·x = 3 × (28 + x)

7·x = 84 + 3·x

7·x - 3·x = 84

4·x = 84

x = 84 ÷ 4 = 21

x = 21

The total amount of money = The amount Moira gets + The amount Non gets

Therefore; The total amount of money = x + 28 + x = 2·x + 28

2·x + 28 = 2 × 21 + 28 = 70

The total amount of money = $70

b) The amount of money Moira gets, x = $21

The amount of money Non gets = $28 + $21 = $49

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Answer:

0.00294973268304

Step-by-step explanation:

Answer:

300.000 was the market price of the article.

Step-by-step explanation:

300.000*0.1 = 30.000

Then, 300.000 - 30.000 = 270.000

So,

300.000 was the initial price.

The present ages of Raj and his daughter are respectively: 42 years and 12 years.

Present Age of Raj =y years

Present Age of daughter =x years

According to Question :

7 Years ago,

y − 7 = 7(x − 7)

⇒ 7x − y − 42 = 0.............(1)

And 3 Years from now

y + 3 = 3(x + 3)

⇒ 3x − y + 6 = 0............(2)

From eq (1) and eq (2)

Subtract eq 2 from eq 1 to get:

7x − 3x − y + y − 42 − 6 = 0

⇒ 4x = 48

⇒ x = 12

Putting x = 12 in Equation (2). we get,

(3 × 12) − y + 6 = 0

⇒ y = 42

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Answer:

11

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

6+5=11

(sum means addition)

Hope this helps! :)

Step-by-step explanation:

If you dilate a image by a factor of 2 you are multiplying each side by 2.

Side AC = Original AC x 2 = 8 x 2 = 16

Side AB = Original AB x 2 = 15 x 2 = 30

Side BD = Original BD x 2 = 8 x 2 = 16

Side CD = Original CD x 2 = 15 x 2 = 30

Yeah your not the only one i am to

Statistical process control technique that permits only 3.4 defects per million opportunities is Six Sigma.

Six Sigma is a statistical technique that emphasizes the necessity of a standardized approach to enhancing and optimizing the efficiency of the production and management processes by reducing the variation and waste within them. It concentrates on controlling a process to ensure that the results of a process are consistent and reliable by using statistical methods. The objective of the Six Sigma process is to produce 3.4 errors or defects per million opportunities. If the process is better than Six Sigma, it is considered more consistent and predictable.
Six Sigma's statistical approach to process control encompasses a range of tools and methods. Six Sigma's primary objective is to increase revenue and profits by developing and delivering high-quality products and services while eliminating defects and reducing waste.
Six Sigma aims to improve quality by detecting and reducing the reasons for variations in production processes. It accomplishes this by developing quality management practices that enable it to assess quality, establish goals, and implement best practices to achieve those goals.
In conclusion, Six Sigma is a process control approach that emphasizes statistical methods for process control and improvement. Six Sigma is used to reduce variability and eliminate waste, and its goal is to achieve 3.4 defects per million opportunities.

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An expression \((16x^4)^{\frac{1}{2} }\) is equivalent to \((64x^6)^{\frac{1}{3} }\)

The correct answer is an option (B)

Consider an expression,

\((16x^4)^{\frac{1}{2} }\)

we know that the rule of exponents.

\((ab)^m=a^mb^m\)

So we get,\((16x^4)^{\frac{1}{2} } = (16)^\frac{1}{2} \times (x^4)^{\frac{1}{2}\)

Also, \((a^m)^n=a^{m\times n}\)

Thus,

\((x^4)^{\frac{1}{2} }\\\\=x^{4\times\frac{1}{2}}\\\\=x^2\)

We know that the n-th root of any number 'm' is represented as \(m^{\frac{1}{n} }\)

So, the 1/2 power of 16 means the square of 16.

And \(\sqrt{16} =4\)

If we look at the option (B) then we can observe that the (1/3) power of 64 is nothing but the cube root of 64 which is 4 and

\((x^6)^{\frac{1}{3}}\\\\=x^{6\times \frac{1}{3}}\\\\=x^2\)

Therefore, the correct answer is an option (B)

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The probability that at least two students have the same birthday in a class of 35 is approximately 81.4%. This is due to the birthday paradox, which states that the probability of two or more people having the same birthday increases as the number of people in the group increases.

To calculate the probability that at least two students have the same birthday, we can use the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event of interest is that at least two students have the same birthday.

Let's assume that all birthdays are equally likely, and ignore leap years for simplicity. The probability that the first student has a unique birthday is 1. The probability that the second student has a unique birthday is (364/365), since there is one less possible birthday that would lead to a match. The probability that the third student has a unique birthday is (363/365), since there are now two fewer possible birthdays that would lead to a match, and so on.

Using this approach, the probability that all 35 students have unique birthdays is:

P(all unique birthdays) = 1 x (364/365) x (363/365) x ... x (332/365)

To find the probability that at least two students have the same birthday, we can use the complement rule:

P(at least two students have the same birthday) = 1 - P(all unique birthdays)

P(at least two students have the same birthday) = 1 - (1 x (364/365) x (363/365) x ... x (332/365))

Using a calculator, we can find that:

P(at least two students have the same birthday) ≈ 0.814

Therefore, the probability that at least two students have the same birthday in a class of 35 students is approximately 0.814, or 81.4%.

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Answer

the triangle has an angle of 77°

Answer:

I would say the answer is b

Step-by-step explanation:

Given the function:

For t = -4,

For t = -2,

For t = 0,

For t = 2;

For t = 4,

Then we graph the points

(-4,0.2) (-2, 0.4) (0,1) (2, 2.2) and (4,5)

and we get the graph:

the integral is:∬s(x y z)ds = (4/3 - 24/5 + 2/7 - 2/9) = -6/45

∬s(x y z)ds = ∬r(u,v)(2u v)(u − 2v)(u 3v)dudv

= ∫0^1∫0^2 (4uv^2 - 8uv^3 + u^2v^4 -2u^2v^5)dudv

= (4/3 - 24/5 + 2/7 - 2/9) = -6/45

We can evaluate the integral by first rewriting it in terms of parametric equations.

The surface s is defined parametrically by r(u,v) = (2u v)i (u − 2v)j (u 3v)k for 0 ≤ u ≤ 1, and 0 ≤ v ≤ 2.

Therefore, the integral can be written as ∬s(x y z)ds = ∬r(u,v)(2u v)(u − 2v)(u 3v)dudv.

Next, we can evaluate the integral by using double integrals.

We can evaluate the integral by first evaluating the inner integral with respect to v, and then evaluating the outer integral with respect to u.

The inner integral with respect to v is:

∫0^2 (4uv^2 - 8uv^3 + u^2v^4 -2u^2v^5)dv

= (4/3 - 24/5 + 2/7 - 2/9)

The outer integral with respect to u is:

∫0^1 (4/3 - 24/5 + 2/7 - 2/9)du = (4/3 - 24/5 + 2/7 - 2/9)

Therefore, the integral is:

∬s(x y z)ds = (4/3 - 24/5 + 2/7 - 2/9) = -6/45

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Answer:

The slope is 0

Answer:

0

Step-by-step explanation:

In this, the x value is the only one changing, not the y ones. So, if the x values change, and the y values don't, you get a horizontal line. A horizontal line has a slope of zero.

Hope I helped!!!!

Answer:

4 1/4 <_ 2K

Step-by-step explanation:

The inequality that represents the situation is k ≥ 2.125 hours.

Inequality is the statement where two algebraic expressions are equated using an inequality operator, <, >, <> etc.

Karissa takes k time to complete the project.

Oliver takes ≤ 2k

The time spent by Oliver is 4 1/4 = 17/4 = 4.25 hours

2k ≥ 4.25

k ≥ 2.125 hours

Therefore, the inequality that represents the situation is k ≥ 2.125 hours.

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The bonds have a stated interest rate of 6 percent. the bonds mature in 10 years and pay interest once per year on December 31 is

(120000, 204000).

The journal entries are shown below:

(1) Cash A/c Dr $200,000  

To Bond payable A/c $200,000  (Being bond is issued for cash)

(2) Interest expense A/c Dr $12,000 = ($200,000 × 6%)

                                                             = $ 120000

To Interest payable A/c $12,000 (Being accrued interest adjusted)

(3) Bond payable Account Dr $200,000

  Premium on retirement of bond A/c Dr $4,000

To Cash Account $204,000 = ($200,000 × 102%)

                                                = 204000

(Being the early retirement of the bonds is recorded)

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The domain and the range of a function is the set of input and output values of the function.

The domain is the set of all whole numbers.

The range is the set of all whole numbers.

Let the number of tickets be x, and the revenue be y.

So, the revenue function will be:

y = 125

The number of tickets cannot be less than 0.

So, the domain of the revenue function is

domain=0,∞

The above means that, the domain is the set of all whole numbers

Similarly, the revenue cannot be less than 0.

So, the range of the revenue function is

range = 0,∞

The above means that, the range is also the set of all whole numbers (in multiples of 125).

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The average rate of change of each section is 5

The function is given as

f(x) = 5x

The function is a linear function

This means that the average rate of change of each section are the same

A linear function is represented as

y = mx + c

Where

Average rate = m

This means that

Average rate = 5

In (a), we have

The average rate of change of each section are the same

This means that both rates are equal

In (a) and (b), we discovered that both rates are equal

This means that this section is not applicable to the function

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False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.

Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.

Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.

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Answer:

$10

I think

Step-by-step explanation:

hope this helps

Answer:

The answer is  

20x + 17.5

Step-by-step explanation:

Multiply the 5 by the numbers inside the parenthesis.

5 x 4x

5 x 3.5

To find the interest rate required for an investment of $6000 to grow to $8500 in 5 years with different compounding periods, we can use the formula for compound interest.

The equation relating the investment, desired value, time period, interest rate (as a decimal), and the number of compounding periods per year is given by

A = P(1 + r/m)^(mt),

where A is the final amount, P is the principal (initial investment), r is the interest rate, m is the number of compounding periods per year, and t is the time in years. We can rearrange this equation to solve for the interest rate.

a. Annually:

For annual compounding, the equation becomes 8500 = 6000(1 + r/1)^(1*5). Simplifying the equation, we have 8500 = 6000(1 + r)^5. To find the interest rate, we rearrange the equation as

(1 + r)^5 = 8500/6000 and then take the fifth root of both sides. This gives us 1 + r = (8500/6000)^(1/5). Subtracting 1 from both sides yields the interest rate: r = (8500/6000)^(1/5) - 1.

b. Quarterly:

For quarterly compounding, the equation becomes 8500 = 6000(1 + r/4)^(4*5). Simplifying the equation, we have 8500 = 6000(1 + r/4)^20. To find the interest rate, we rearrange the equation as (1 + r/4)^20 = 8500/6000 and then take the twentieth root of both sides.

This gives us 1 + r/4 = (8500/6000)^(1/20). Multiplying both sides by 4 gives us 1 + r = 4 * (8500/6000)^(1/20). Subtracting 1 from both sides yields the interest rate: r = 4 * (8500/6000)^(1/20) - 1.

By using the formula for compound interest and rearranging the equation, we can determine the interest rate required for the investment to grow to the desired amount in the specified time period with different compounding periods.

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Answer:

106,496 kg

Step-by-step explanation:

The value of x in the similar triangle is 6 units.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.

Using the proportional relationship of the similar triangle,

4 / x = x  /9

cross multiply

x² = 36

square root both sides

√x² = √36

x = 6

Therefore,

x = 6 units

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Answer:

the answer is b

Step-by-step explanation:

plz give me a Brainliest

A word that describes the slope of the line is negative. The correct answer is option B.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

For this case the first thing you should know is that we have an equation of the form:

y = mx + b

Where,

m: The slope of the line

b: Cutting point with the vertical axis.

For this case, we observe that the values of y decrease when the values of x increase. Therefore, the function decreases.

This means that it is true that:

m < 0

Therefore, the slope of the line is negative.

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Answer: 2.2 and/or 2.20 the zero doesn't matter

Step-by-step explanation:

4 goes into 8, 2 times bring the 2 up (4x2=8)

8-8=0

Bring down the next 8

4 goes into 8, 2 times bring the 2 up (4x2=8)

8-8=0

4 goes into 0, 0 times

0-0=0 bring up the 0 or don't

you should get 2.2 and/or 2.20

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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