What is the area of a circle with a diameter of 14 meters? Leave the answer in terms of π.

49π square meters
7π square meters
196π square meters
14π square meters

The required exponential function is given as y = aˣ where the value of a should be positive always.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

here,
Since from the above definition exponential function is given as y = aˣ,
This shows the exponential increase and decrease, by means of exponential increase and decrease, a sudden in increase and sudden decrease of function as the value of a varies, see in the graph after the answer. And the value of an always remains positive.

Thus, the required exponential function is given as y = aˣ where the value of a should be positive always.

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If the perimeter of the triangle is 64 units, then the length of the side PR is 24 units.

This is referred to as a three-sided polygon that consists of three edges and three vertices and the longest side is referred to as the hypotenuse.

The perimeter of a triangle is the sum of all the sides which is:

P = a + b + c

64 = 3x +4x - 1 + x + 1

64 = 8x

x = 64/8 = 8 units

Therefore the length of side PR is :

3x = 3 (8) = 24 units.

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On solving the provided question, we can say that - the given triangles ECD and triangle PQR

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here,

EC = PQ

CD = PR

ED = QR

therefore both triangles are similar by SSS property

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Answer:

true

Explanation

1. if a man has a hundred apples and like to share between 20 men. this has to be equal.

5 to 1man.

If we compare the given values then we can find that database B is more likely to have a smaller standard deviation.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Given that the values in database A are 0 from 100 and have a mean of 50 and Database B has entries from 49 to 51 and also has a mean of 50.

We are required to find the database whose standard deviation is lower.

Standard deviation measures the variation of values. It is calculated after finding the mean. The square of a standard deviation is known as a variance.

Database A has values from 0 to 100 and has a mean of 50. Because the values are somewhat very larger than 50 and database B has values from 49 to 51, there are more chances that the standard deviation of database B will have a smaller value than the standard deviation of database A.

Hence if we compare the given values then we can find that database B is more likely to have a smaller standard deviation.

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Answer:

125 per minute.

Step-by-step explanation:

To get this answer, you simply need to divide 500 (the amount that it can make it 4 minutes.) by 4. (The amount of time it takes to make 500 copies.)

You get the answer 125.

Answer:

3

Step-by-step explanation:

[tex] \sin(45) = \frac{a}{7 \sqrt{2} } [/tex]

[tex]a = 7[/tex]

[tex] \tan(30) = \frac{7}{c} [/tex]

[tex]c = 7 \sqrt{ 3} [/tex]

therefore 3 is required in the green box

Answer:

In geometry, a polygon can be defined as a flat or

plane, two-dimensional closed shape bounded with

straight sides. It does not have curved sides. The

sides of a polygon are also called its edges. The

points where two sides meet are the vertices (or

corners) of a polygon

1. polygon with four sides is called a Quadrilateral

2. polygon with six sides is called hexagon

3. polygon with five sides is called pentagon

Hope this helps?

The standard deviation of 83 million eggs and 2,655 millions eggs represent that of 3% of the farmers, of the production that is normally distributed, indicates that the mean egg production by Queensland farmers is about 2498.1 million eggs.

A normal distribution is a probability distribution such that the values of the distribution are symmetrical around the mean value of the distribution.

The standard deviation, σ = 83 million eggs

The percentage of farmers that produce more than 2,655 million eggs, x = 3%

The formula for the z-score is; [tex]Z = \dfrac{x - \mu}{\sigma}[/tex]

Therefore, we get;

[tex]Z = \dfrac{2655 - \mu}{83}[/tex]

From the z-score table for P(Z > Z₁), where Z₁ is the z-score corresponding to Φ(1 - 0.03) = Φ(0.97)

The z-value corresponding to Φ(0.97) is about 1.89

Therefore;

[tex]Z = \dfrac{2655 - \mu}{83} \approx 1.89[/tex]

83 × 1.89 ≈ 2655 - μ

μ ≈ 2655 - 83 × 1.89 = 2498.1

The mean egg production by Queensland farmers is about 2498.1 million eggs per year

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Answer: We know that the order from the doctor is 450mg

The stock available has a value of 150mg

Order/Available stock=450mg/150mg=3 tablets

Step-by-step explanation:

The equation for situation 1 is y=4x and is directly proportional and the situation two will have equation y=x+4 and is not proportional.

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here, graph 1 varies 4 times the x value every time there is an increase of 1 in the x-axis and in graph 2 it is a linear equation with intercept at 4 and thus the graph increases with +4 and   A proportional relationship exists between two values x and y when they can be expressed in the general form y = kx,

Hence, The equation for situation 1 is y=4x and is directly proportional and the situation two will have equation y=x+4 and is not proportional.

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The slope of the relation is 1/4

You should know that slope is the rate of change of y with respect to x.  slope is denoted by change in y over change in x

The table of values is given as:

x −2 −1 0 1 2

y −13 −9 −5 −1 3

The slope is calculated as:

Slope = y₂ - y₁/x₂ - x₁

So, we have

Slope = 2 - 1/3 + 1

Evaluate the like terms

Slope = 1/4

In conclusion, the slope of the relation is 1/4

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Total cost is the sum of all expenses incurred to produce a particular type of product. The answer is $1.50.

Total cost is the sum of all expenses incurred to produce a specific kind of output. Financial reporting, when overhead costs must be allocated to specific assets, is where the total cost approach is more useful from an accounting standpoint.

$8 was spent in total.

Xavier bought four $1.25 snacks.

4 x 1.25 = $5

The 2 cans cost $3 because 5 + 3 = 8, and we know how much the snacks cost ($5), making the total cost ($8).

Each can cost $1.50 because, if the price of the two cans was $3, we would have to divide it by two to get the price of the second can, which comes out to be $1.50. As a result, each can was $1.50.

Therefore, the answer is $1.50.

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Using the conversion between metric and U.S systems the value of 0.828oz is 2347.34 cg.

A system of measurements is called the metric system. It is employed in calculations and research across the globe. Some examples of metric system are distance in lengths, weights in grams, volume in milliliters and much more.

The conversion between ounces (oz) into centigram (cg) is given as follows:

1 oz = 2834.95

To convert 0.828 oz into centigram we need to multiply the value 0.828 oz with 2834.95 as follows:

(0.828) (2834.95)

2347.35

Hence the value of 0.828 oz is 2347.34 cg according to the conversion from metric to US system.

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Therefore , the solution of the given problem of trigonometry comes out to be c =6.

Trigonometry is a discipline of mathematics that examines relationships between triangles' angles and sides. Trigonometry is used frequently in geometry because every straight-sided form may be broken down into a group of triangles. Trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, have a staggering amount of interrelationships.

Here,

Given :

In triangle LMN,

m∠L = (4c + 53)°.

∠L  = 87°

To find the value of c:

87° =  (4c + 53)°

=> 4c = 87-53

=> 4c = 24

=> c =6

Therefore , the solution of the given problem of trigonometry comes out to be c =6.

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Answer:

Strategies that Frankie should consider:

1.) What he needs vs what he wants (does Frankie need new shoes?)

2.) Opportunity cost (savings Frankie would have to give up if he buys new shoes)

3.) Short-term and long-term goals (Does Frankie needs shoes now, or can he wait?)

Frankie should think about a number of options before purchasing a new pair of shoes. He should first consider whether he actually needs or wants these shoes. He should then think about opportunity cost. How else could he have used that money if he had not purchased the shoes? Could he have utilized his resources more effectively? He must also think about the issue of setting goals. He needs to decide if this is a task for the present or the future.

Also I dont understand how this is math

On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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Answer:

Ratios and fractions are connected. A ratio of 3 to 14 is the same thing as 3/14. Multiply 686 by 3/14. You will get 147. That is your amount of zinc. If we simplify 147/686, or 147:686, we get 3:14 confirming our answer.

Answer:

-----------------------------------

Let the amount of zinc be x. Then we have equal ratios:

Solve it for x:

The remainder on dividing 2x⁴-3x+3 by x-1 is 2

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here: 2x⁴-3x+3 by x-1

The remainder theorem states that when a polynomial p(x) is divided by (x - a), then the remainder = f(a)

∴ The remainder would is f(1) = 2×1-3+3

                                                 =2

Hence, The remainder on dividing 2x⁴-3x+3 by x-1 is 2

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Rami's glass is fuller than Will's glass by 1/8

From the question, we have the following parameters that can be used in our computation:

Rami's glass is 1/2 full. Will's glass is 3/8 full.

Convert the fractions to decimal

This gives

Rami's glass is 0.5 full. Will's glass is 0.375 full.

0.5 is greater than 0.375

So, Rami's glass is fuller

To do this, we calculate the difference

So, we have

Difference = 0.5 - 0.375

Evaluate

Difference = 0.125

Rewrite as

Difference = 1/8

Hence, it is 1/8 fuller

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Balance after 8 years is $2,306.86 at an interest rate of 15 % compounded yearly.

Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.

given, Melissa opened a savings account and deposited $700.00 as principal. The account earns 15% interest

from the general formula of compound interest

A = [tex]P(1 + r/n)^{nt}[/tex]

where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.

Given, P = 700$

r = 15%

t = 8 years

A = 700(1 + 15/100)⁸

A = 2306.86$

Therefore, At a 15% annual compounded interest rate, the remaining balance after 8 years is $2,306.86.

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Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.

It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.

Sterling to Euro : [tex]$750 \times 1.14=6855$[/tex]

Pounds to dollars : [tex]$750 \times 1.39=\$ 1042.5$[/tex]

One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.

The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.

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The newly rewritten function expression of V(x) is V(x) = (x)(x + 1)(x – 2)/1000

From the question, we have the following parameters that can be used in our computation:

A function expression

The function expression is given as

V(x) = (x)(x + 1)(x – 2)

Where if x is in centimeters and V(x) is in cubic centimeters

The new function for the volume of the refrigerator is stated to be in cubic millimeters

Using the above as a guide, we have the following:

1 cubic centimeters = 1000 cubic millimeters

So, we have

V(x) = (x)(x + 1)(x – 2)

1 cubic centimeters = 1000 cubic millimeters

Cross multiply

V(x) * 1000 = 1* (x)(x + 1)(x – 2)

Divide both sides by 1000

V(x) = (x)(x + 1)(x – 2)/1000

Hence, the function is V(x) = (x)(x + 1)(x – 2)/1000

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The Chinese yuan you can buy for a dollar is 6.86483 Chinese yuan

From the question, we have the following parameters that can be used in our computation:

1 Chinese yuan= $0.14567

Divide both sides of the equation by 0.14567

So, we have the following representation

1/0.14567 Chinese yuan= $0.14567/0.14567

Evaluate the quotient

1/0.14567 Chinese yuan= $1

Evaluate the other quotient

6.86483 Chinese yuan= $1

This means that

$1 = 6.86483 Chinese yuan

Hence, you can buy 6.86483 Chinese yuan for $1

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Explanation:

You have a right triangle with legs of 11 and 60. The hypotenuse is unknown.

Use the pythagorean theorem to find the hypotenuse.

[tex]a^2 + b^2 = c^2\\\\11^2 + 60^2 = c^2\\\\121 + 3600 = c^2\\\\3721 = c^2\\\\c^2 = 3721\\\\c = \sqrt{3721}\\\\c = 61\\\\[/tex]

The ramp is exactly 61 inches long.

The kind of sequence that you will obtain when you list the number of tickets sold over time is given as follows:

A geometric sequence.

A sequence can be classified as either arithmetic or geometric, as follows:

If none of these statements is true, then the function is neither arithmetic or geometric.

A growing amusement park is able to sell 7 times as many tickets each year as it did the year before, which means that there is a constant ratio of 7 between the amounts of tickets sold each year, and thus this sequence is a geometric sequence.

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Answer:

5

Step-by-step explanation:

Answer:I believe it would be 5

Step-by-step explanation:

because if you do it on a table chart you reach five first as the same number

Answer:

So there are 60 minutes in an hour, and since there are 24 hours in a day you will multiply 60 by 24:

60 * 24 = 1440.

That multiplied by 1.5 is 2160, so that would be your answer.

Step-by-step explanation:

Hope it helps! =D