7. Find the circumference of a circle whose diameter is 3.2 meters. Round to the nearest tenth.



A. 32.2 m

B. 8.0 m

C. 10.0 m

D. 5.0 m

The lowest cost per meter of ribbon is represented by option D, which offers 5 meters of ribbon for $1.25.

Option D, offering 5 meters of ribbon for $1.25, represents the lowest cost per meter. With a simple calculation, we find that the cost per meter of ribbon in option D is $0.25. This is the most economical choice compared to the other options.

When considering the price per meter, it's clear that option D provides the best value. With a cost of $0.25 per meter, it is the most cost-effective among the given choices. Option A offers a cost of $0.30 per meter, option B is $0.13 per meter, and option C is $0.32 per meter, making option D the least expensive. Therefore, if the aim is to minimize the cost per meter of ribbon, selecting option D would be the optimal choice.

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Answer:

Step-by-step explanation:

The measure of the third triangle is 59°

Step-by-step explanation:

m<15 = 97°

that is the answer

The graph attached represents a non proportional function

Like the name goes, a Linear graph is a straight line graph that represents a linear relationship with the equation of the form

y = mx + c

A relationship is proportionate if its graph is a line or ray that passes through the origin. in this case c = 0

It is not proportional if the line or graph does not go through the origin.

Additionally, if anything is not linear, it is not proportional.

The attached graph passed through point (0, 1) which is not the origin (0, 0) hence the graph is not a proportional relationship

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Answer:

4.7475615e+12 or 16807^3

Step-by-step explanation:

Nearly half of the newborns among nonsmokers (56 out of 115, 48.7%) have birth weights between 3,000 and 4,000 grammes. 40 of 74, or 54%, of the infants born to smokers have birth weights between 2,000 and 3,000 grammes, with fewer infants in the larger weight groups.

What is birth weight?

The body weight of a newborn is referred to as birth weight. Infants of European descent typically weigh between 2.5 and 4.5 kilogrammes at birth, with an average of 3.5 kilograms. South Asian and Chinese babies weigh about 3.26 kilogrammes on average.

Babies born to nonsmokers typically weighed between 1,000 and 5,000 grammes. Babies born to smokers often ranged in weight from 500 to 4500 grammes.

However, we also notice some significant variations between the two groups' normal ranges of birth weights. With fewer infants in the lower weight ranges, nearly half of the newborns among nonsmokers (56 out of 115, 48.7%) have birth weights between 3,000 and 4,000 grammes. 40 of 74, or 54%, of the infants born to smokers have birth weights between 2,000 and 3,000 grammes, with fewer infants in the larger weight groups.

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Answer:

It looks like 45 degree for the one on the left and maybe 180 degrees on the right (i'm not sure tbh) but those are my guesses

Answer:

x = -4

y = 29

Step-by-step explanation:

Let's take our two equations and turn the decimals into fractions for simplicity's sake. We get:

x/4 + 5y/100 = 9    x + y = 25

Simplifying a bit gives us:

x/4 + y/20 = 9       x + y = 25

Now, we will take the first equation and multiply it by 20 to get rid of the fractions. We get:

5x + y = 9

We will rearrange numbers to give us an answer to y that we can substitute in. we get:

y = 9 - 5x

Then, we will plug this into our second equation giving us:

x + 9 - 5x = 25

Combining like terms and subtracting 9 from both sides gives us:

-4x = 16

Dividing by -4 gives us:

x = -4

Then, we can substitute this into our second equation giving us:

-4 + y = 25

We will add 4 to both sides giving us:

y = 29

Hope this helped!

We are given two linear equations and we have to solve them and get the solution for m and n . This problem can be solved using the basics of algebra and linear equations. By solving these equations we have got the values of m and b to be 2.5, 3.5 .The correct option is none of the above.

Given equations are: m + 3n = 10 m = n - 2. To find the solution to the set of equations in the form (m, n), we need to solve the above equations. We have the value of m in terms of n, therefore we can substitute it in the other equation to get the value of n as follows: m + 3n = 10m + 3(n - 2) = 10m + 3n - 6 = 10 3n = 10 - m + 6 n = (10 - m + 6)/3 n = (16 - m)/3Now we have the value of n, we can substitute it in the equation for m, we get: m = n - 2m = ((16 - m)/3) - 2 3m = 16 - m - 6 4m = 10 m = 5/2.

Thus, the solution to the set of equations in the form (m, n) is (5/2, 7/2) or (2.5, 3.5).Therefore, the correct option is (none of the above).

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Iterative is used when the equations cannot be solved simply.

The given value is put in the equation to solve.

Walter estimation is incorrect.

No, both 3. 61^2 and 3. 62^2 are greater than 13.

First he checks that is 13 between 3.61 and 3.62.

But suppose he cannot because he wants to use iteration.

Suppose he squares both the numbers 3.61 and 3.62 to determine if 13 is between the two numbers.

3.61² = 13.0321  and

3.62² =13.1044

We see that when both the numbers are squared then the answer in each case is greater than 13.

Therefore 13 cannot lie as both numbers are greater than 13.

Hence 13 does not lie between 3.61 and 3.62

From the given choices the best choice is  No, both 3. 61^2 and 3. 62^2 are greater than 13.

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Answer:

1: 6

2: 21 1/3 2

Step-by-step explanation:

Answer:

300 x .05= 15

..............

When evaluating a company's likely future financial performance, there are several qualitative factors that analysts should consider.

In the case of Tesla Inc., some of these factors might include:

Product innovation: Tesla is known for its innovative products in the electric vehicle and renewable energy industries. Analysts should consider whether the company is likely to continue innovating and developing new products that can attract customers and drive revenue growth.

Competitive landscape: Tesla operates in a highly competitive industry, and there are several other companies that are also developing electric vehicles and renewable energy products. Analysts should consider whether Tesla's products are competitive with those of its rivals and whether the company is likely to maintain or improve its market position.

Management team: The performance of a company is heavily influenced by the quality of its management team. Analysts should evaluate the experience and track record of Tesla's executives and assess whether they are capable of leading the company to future success.

Financial position: Tesla's financial position is an important factor to consider when evaluating its future financial performance. Analysts should examine the company's balance sheet, income statement, and cash flow statement to assess its liquidity, profitability, and overall financial health.

Regulatory environment: The regulatory environment can have a significant impact on Tesla's future financial performance. Analysts should consider the potential impact of government policies and regulations on the company's operations, as well as any changes in consumer preferences or behavior that could affect demand for its products.

Sustainability: Tesla has positioned itself as a company that is committed to sustainability and reducing the environmental impact of transportation. Analysts should consider whether the company's sustainability initiatives are likely to resonate with consumers and contribute to its long-term success.

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An equation that relates y, the amount of yellow paint in liters, and the amount of blue paint in liters, needed to make the Green Goober's special green paint is 3y + 5b = 8x.

An equation is a mathematical statement that shows that two or more mathematical or algebraic expressions are equal or equivalent.

Mathematical expressions combine variables with constants, numbers, or values with the mathematical operands, addition, subtraction, multiplication, and division.

The yellow paint mixed with the blue paint = 3 liters

The blue paint mixed with the yellow paint = 5 liters

The quantity of the special green paint = 8 liters

Let the yellow paints = 3y

Let the blue paints = 5b

Let the special green paints = 8x

3y + 5b = 8x

Thus, the equation that represents the situation is 3y + 5b = 8x.

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The equation that Rae should use to determine the width of a pen is 280 = w(w + 6)

A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are kite, rhombus, rectangle, square, parallelogram.

A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. Each angle measure 90 degrees and diagonals bisect each other.

The area of rectangle is:

area = length * width

Let w represent the width of the rectangle

Given that length is 6 feet longer than the width, length = w + 6. Hence:

Area = length * width

substituting:

280 = w(w + 6)

w² + 6w - 280 = 0

The equation is 280 = w(w + 6)

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The treatment mean square can be calculated by dividing the sum of squares for treatment by the degrees of freedom for treatment. In this case, the sum of squares for treatment is 1,122 and the degrees of freedom for treatment is 2. Therefore, the treatment mean square is 1,122/2 = 561. Therefore, the correct answer is: 561.

Based on the ANOVA table you've provided, you're interested in determining the treatment mean square. The treatment mean square (also called mean square between) is calculated by dividing the treatment sum of squares by the treatment degrees of freedom (df). Unfortunately, the ANOVA table appears to be incomplete, and I am unable to give you the specific numbers for the calculations.

However, I can guide you on how to calculate the treatment mean square. Once you have the treatment sum of squares and treatment df, simply follow this formula:

Treatment Mean Square = Treatment Sum of Squares / Treatment df

After applying this formula, you'll be able to choose the correct answer from the multiple-choice options you've mentioned: 71.6, 71.8, 561, or 537.

The treatment mean square can be calculated by dividing the sum of squares for treatment by the degrees of freedom for treatment. In this case, the sum of squares for treatment is 1,122 and the degrees of freedom for treatment is 2. Therefore, the treatment mean square is 1,122/2 = 561. Therefore, the correct answer is: 561.

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Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1  

From the 64 values in the table on the left, count how many fall within the given ranges under the "classes" column in the table on the right. The "frequency" is the number of values in the data that belong to a given "class".

For example, "< -16.0" means "values below -16.0". Only one number satisfies this: -16.2 (first row, third column). So the frequency for this class is just 1.

Then for the range "-15.9 - 13.0", which probably means "numbers between 15.9 and -13.0, inclusive", the frequency is 0 because every number in the table is larger than the ones in this range.

And so on.

Answer:

24 gallons of 50% grape juice

Step-by-step explanation:

if you have 1 gallon of 50% grape juice and 1 gallon of 25% grape juice, the resulting combination will be 2 gallons of 75/2% (or 37.5%) grape juice.

I guessed you would need about 1.5 times of the 50 % mixture to make the 25% mixture into 50 %.  I checked, 1.5 times 16 is 24, so I calculated what is the average concentration (24*50 + 16*25)/40, and I got 40 so that guess was correct.

Answer:So for an isosceles right triangle with side length a , the hypotenuse has a length of a√2 . Similarly, if the hypotenuse of an isosceles right triangle has length of a , the legs have a length of a√2ora√22 each

Step-by-step explanation:

An isosceles triangle is a special triangle due to the values of its angles. These triangles are referred to as triangles and their side lengths follow a specific pattern that states that one can calculate the length of the legs of an isoceles triangle by dividing the length of the hypotenuse by the square root of 2.

FOR EXAMPLE What is the length of the legs of an isosceles right triangle if the hypotenuse is 8 units?

2 Answers By Expert Tutors. For an isoceles right trangle, the legs each have length x and the hypotenuse has length x √2. Therefore, since the hypotenuse has length 8√2, the legs must each be of length 8.

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

[In Picture]

Step-by-step explanation:

There are no given options.

However, I am able to recreate the best answer for the question given.

There would be arrow going to the left from -3. The arrow will include all numbers less than -3.

Since there is a less than sign, the circle at the beginning of the arrow is open.

Choose the option that closely matches the line shown.

The number line is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

The number line of n < - 3 is n less than -3.

The graph of the number line is given below.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

n < - 3

This is read as,

n is less than -3.

The graph of the number line is given below.

Thus,

The number line of n < - 3 is n less than -3.

The graph of the number line is given below.

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Answer:

The new balance, including interest, will be $10,077.99.

Step-by-step explanation:

To calculate the new balance, including interest, we need to take into account the existing balance, the new charges, and the interest that accrues on the balance over the month. Here are the steps to calculate the new balance:

Calculate the interest on the existing balance:

The monthly interest rate is the APR divided by 12, so in this case it is 18.99%/12 = 1.5825%.

The interest on the existing balance is 1.5825% x $9,160.00 = $144.99.

Add the interest to the balance:

The new balance after adding the interest is $9,160.00 + $144.99 = $9,304.99.

Add the new charges:

The new balance after adding the new charges is $9,304.99 + $1,098.00 = $10,402.99.

Subtract the minimum payment:

Zain pays $325.00 towards the balance, so the new balance is $10,402.99 - $325.00 = $10,077.99.

Therefore, the new balance, including interest, will be $10,077.99.

Answer:

A

Step-by-step explanation:

A linear function is a straight line when graphed so is not B.

For confirmation of A note how for each increase of 3 in x we get the same increase of 5 in y.

Answer:

140.085

Step-by-step explanation:

Answer:

140.08

Step-by-step explanation:

Hope it helped!

The county commissioner should test the hypothesis H0: p<=0.5 (null hypothesis) against the alternative hypothesis Ha: p>0.5.

This means that the commissioner assumes that the proportion of people in her district who favor the spending on a sewer system is equal to or less than 50%, and she wants to see if there is enough evidence to reject this hypothesis in favor of the alternative that the proportion is greater than 50%.

The commissioner needs to conduct a hypothesis test to determine if a majority of the people in her district favor the construction of a sewer system. She should test the null hypothesis H0: p<=0.5 against the alternative hypothesis Ha: p>0.5, where p is the proportion of people in her district who favor the spending on the sewer system.

The commissioner will only vote to appropriate funds if she is convinced that the proportion of people who favor the measure is greater than 50%.

In conclusion, by conducting a hypothesis test, the commissioner can determine whether a majority of the people in her district favor the spending on a sewer system and make an informed decision based on the evidence.

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The expected loss per game is approximately -$0.31.

The terms we need to consider in this problem are: standard 52-card deck, face cards, and expected gain or loss.
To find the expected gain or loss per game, follow these steps:

1. Determine the probability of drawing a face card.
There are 12 face cards (Kings, Queens, and Jacks) in a standard 52-card deck. So the probability of drawing a face card is \(\frac{12}{52}\), which simplifies to \(\frac{3}{13}\).

2. Determine the probability of drawing a non-face card.
There are 40 non-face cards in the deck (52 cards - 12 face cards). So the probability of drawing a non-face card is \(\frac{40}{52}\), which simplifies to \(\frac{10}{13}\).

3. Calculate the expected gain or loss per game.
Expected gain or loss = (Probability of drawing a face card x gain from drawing a face card) + (Probability of drawing a non-face card x loss from drawing a non-face card)

4. Simplify the equation.
Expected gain or loss = \((\frac{3}{13} (2))  +  (\frac{10}{13} (-1))\)
Expected gain or loss = \(\frac{-4}{13}\)

Your expected loss per game is approximately -$0.31 (rounded to two decimal places).

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Answer:

Purple

Step-by-step explanation:

Answer:

-95

Step-by-step explanation:

f(9) = -x² - 14

= -(9)² - 14

= -81 - 14

= -95

Answer:

the answer is d. -5120

Step-by-step explanation:

\(a_{n} =-5(4)^{n-1}\\a_{6}=-5(4)^{6-1} \\a_{6}=-5(4)^{5} \\a_{6}=-5(1024)\\a_{6}=-5,120\)