Need a little help with this problem!
(Just need the CORRECT answer no need to explain the details on how you got that answer)

Given,

The radius of the circle is 5 meters.

Required

The area of the circle shaped swimming pool.

The area of the circle is calculated by using the formula,

Substituting the values then,

Hence, the area of the swimming pool is 78.5 square meters.

The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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

This means that

Initial, a = 250 bacterial cultures.

Rate = 3

So, the recursive formulas is

f(n) = 3f(n - 1), where f(1) = 250

For the explicit formula, we have

f(n) = 250(3)ⁿ‐¹

Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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Answer:

k

Step-by-step explanation:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Answer:

Step-by-step explanation:

The area of the 4 exterior walls:

The area of the 2 triangular faces:

Total area to be painted:

Paint required:

Answer:

30=6x(vertically opposite angle)

x=30/6=5

b.x=5,angle measure is 30

Answer:

\(\pi (\frac{diameter}{2} )^{2}\)

Step-by-step explanation:

The formula is pretty similar to the standard equation, π·r², since the diameter is just the radius times two.

Hope that helps! :)

The sumerian mathematical system was based on units of sixty, ten, and six and survives in what modern system time measurement.

Sumer (a region of Mesopotamia, present-day Iraq) is sometimes referred to as the Cradle of Civilization because it was the origin of writing, the wheel, agriculture, the arch, the plow, irrigation, and many other accomplishments.

We really know more about ancient Sumerian and Babylonian mathematics than we do about early Egyptian mathematics because the Sumerians invented the first known writing system, the pictographic cuneiform script, which uses wedge-shaped symbols engraved on baked clay tablets. In fact, we even have math and geometry problems that seem like school exercises.

The base number 60 was created by adding a "celestial" 6 and a "common" 10 in the Sumerian "sexagesimal" system.

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Answer:

2:3

Step-by-step explanation:

Answer:

2-3

Step-by-step explanation:

Answer: X= 57/4   Y= 31/4

Step-by-step explanation: I assumed and used substitution from the two equations you provided to find the answer. Hope this helped! :)

Independent value: Quarts of oil

Dependent variable: Cost of oil

Constant of proportionality: 5.8

The negative correlation between IQ and age guarantees that all younger people have higher IQ's than older people.

The strength of the linear link between two separate variables, x and y, is shown by correlation coefficients. A positive association is shown by a linear correlation coefficient larger than zero. Indicating a negative association is a value less than zero. The two variables x and y do not have any relationship when their values are 0, to sum up.

A positive correlation indicates that both variables move in the same direction when the correlation value is higher than 0. When is 1, it denotes a complete positive association between the two variables under comparison; when one variable rises or falls, the other one rises or falls in the same direction and by the same amount.

When the correlation coefficient is less than 0, there is a negative (inverse) correlation. This suggests that both variables are moving in the obverse direction. In essence, any reading between 0 and -1 denotes an opposing movement of the two securities. The connection is said to as fully negatively correlated when is equal to -1.

Thus, the negative correlation between IQ and age guarantees that all younger people have higher IQ's than older people.

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Answer:

3

Step-by-step explanation:

Where did you get this question?

The number of cookies left, if Matt has 5 Cookies and Linn eats 3 of the cookies, is 2.

The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.

Given:

The total number of cookies, t = 5,

The number of cookies Linn eats, n = 3,

Calculate the number of cookies left by using subtraction as shown below,

The number of left cookies = Total number of cookies - The number of cookies Linn eats

The number of left cookies = t - n

The number of left cookies = 5 - 3

The number of left cookies = 2

Thus, the number of cookies left is 2.

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The complete question is: Matt has 5 Cookies and Linn eats 3 of the cookies, how many cookies are left?

The item which is closest in size to one mole of gas at STP is C) A microwave

A mole is the quantity of matter contained in a body.

We know that at STP the volume of gas occupied by one mole of a gas at STP is 22.4 dm³.

Now, we have 4 items.

Let us assume that each item is a cube. Also, since 22.4 dm³ is the volume of the cube, its length is

L = ∛22.4 dm³

=  ∛(22.4 × 10³) cm³

= 28.2 cm

So, ithe item that is comparable to this length is the microwave.

So, the item is C. A microwave

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Answer:

Step-by-step explanation:

Answer:

40percent

Step-by-step explanation:

30-12-6 is 12

12/30 times 100 is 40

Daneeka gets an amount of 26250 after selling the car.

Ratio defines the relationship between two quantities where it tells how much one quantity is contained in the other.

A ratio of a : b indicates that an amount of 'a' units of one quantity corresponds to 'b' units of the other quantity.

Given that,

Amount Daneeka paid for buying the car = 35000

Amount Shona paid for buying the car = 80000

Ratio of the amounts spend for buying the car = 35000 : 80000

                                                                             = 35000/ 80000

                                                                             = 7/16

Daneeka paid 7 parts and Shona paid 16 parts of the total amount.

After selling the car Shona gets 60,000.

Let x be the amount Daneeka gets after selling the car.

Given that, the amount they get is in the same ratio as that they paid to buy the car.

x / 60000 = 7 / 16

x = (7/16) × 60000

x = 26250

Hence Daneeka gets an amount of 26250 after selling the car.

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the answer is -4

Step-by-step explanation:

f(x)=4(x)-12

=4(2)-12

=-4

Answer:

Your answer is A, 3x - 2x.

Step-by-step explanation:

Triple a number means to multiply it by 3.

Double a number means to multiply it by 2.

Difference means to subtract.

Hope this helps!

Answer:cim not sure tho

Step-by-step explanation:

y-y1 = m(x-x1) — point-intercept form

Given both x1 and y1 = coordinate point.

First​ we have to find the slope by using rise over run. (y2-y1)​/(x2-x1)​ = m

The slope should be m = -4 then we substitute m-value in point-slope form.

y-y1=-4(x-x1) — new equation. After substituting slope in, we need to find the coordinate point that is part of the graph. You can use any points that are given in the picture. I will use point F or (5,0).

Then we substitute x1 = 5 and y1 = 0 in the point-slope form

y-0=-4(x-5) — point-slope form

y=-4x+20 — slope-intercept​ form..

How about we change to another coordinate point to substitute in? We can check if these points also give same equation (slope-intercept).

Let's substitute (4,4) in the equation.

y-4=-4(x-4)

y=-4x+16+4

y=-4x+20

Same answer. Meaning that all these points that are shown can be substituted in the equation and get the same slope intercept form.

Therefore, point-slope form for the graph can be

y-4=-4(x-4)

you can also change the coordinate point value.

The forecast for the first week in April is Option B, 217.33.

By using a three-week moving average to forecast the rate of new driver's license applications for the first week of April, means that we will average the rate of new driver's license applications over the last three weeks to forecast the rate for the next week.

Let's calculate the moving average for the first week of April.

Given weeks 2, 3, and 4 of March are 199, 215, and 212, respectively.

To find the three-week moving average, we add these three rates and divide by three:

(199 + 215 + 212) / 3 = 208.67

Therefore, the forecast for the rate of new driver's license applications for the first week of April using the three-week moving average is 208.67, rounded to two decimal places, the closest option to 208.67 is option B, which is 217.33.

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Answer:

Distribute the 3 on the left hand side

Step-by-step explanation:

3 (x − 2) = 2x + 7

Distribute the 3 on the left hand side

3x -6 = 2x +7

Then subtract 2x from each side

Answer:

4 square root of 5

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

The equation that represents the growth of the population of a town will be y = 57,000 × (1.046)ˣ.

Let a be the initial value and x be the power of the exponent function and r be the increasing rate.

The exponent is given as,

y = a(1 + r)ˣ

A town's (y) population grows at a pace of 4.6% each year. If the town had a population of 57,000 inhabitants in the year 2000.

Let 'x' be the number of years from 2,000. Then the equation is given as,

y = 57,000 × (1 + 0.046)ˣ

y = 57,000 × (1.046)ˣ

The equation that represents the growth of the population of a town will be y = 57,000 × (1.046)ˣ.

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The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius is given as,

r = 36 / 2

r = 18 inches

The area of the circle is given as,

A = π x (18)²

A = 3.14 x 324

A = 1,017.36 square inches

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

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The complete question is given below.

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.

How many square inches of cloth is cut from the square?

(π = 3.14)

1,017.36 in2

1,489.24 in2

1,182.96 in2

1,276.00 in2

The similar triangle the value is AE=8m , EI=6m and AI=10m.

What is similar triangle?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionality equal and their corresponding angles are congruent.

According to the question, we know that,

=> \(DE=\frac{1}{2}AE\)

=> AE = 2DE

Similarly EI=2EF and AI=2DF then,

=> AE=2*4=8m

=>EI=2*3=6m

=>AI=2*5=10m

Hence the value is AE=8m , EI=6m and AI=10m.

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It's important to note that the mean is not an appropriate measure of center for this data set since it can be heavily influenced by the outliers in the higher range of the distribution.

The shape of the distribution in the histogram appears to be skewed to the right. This means that there are more scores in the lower range, with a few outliers at the higher range.

The most appropriate measure of center to report the typical value is the median, since the data is not normally distributed. The median represents the middle value of the data set.

The most appropriate measure of spread to report how spread out the observations are in this histogram is the interquartile range (IQR). The IQR is the difference between the upper and lower quartiles, which provides an indication of the amount of spread in the data. This is especially important for skewed distributions, as it ignores any outliers in the data.

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Answer:

no because there are multiple points on the x-axis

Step-by-step explanation:

Answer:

48 ounces

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

To three decimal places, The process capability index is 0.167

Step-by-step explanation:

We have to find the process capability index,

Upper specification = 16.5 ounces,

Lowe specification = 15.5 ounces

Mean = 16.0 ounces

Standard Deviation = S = 1 ounce

process capability index = (upper specification - lower specification)/6S

process capability index = (16.5 - 15.5)/6(1)

= 1/6

Process capability index = 1/6 = 0.16666667

To 3 decimal places, we get,

Process capability index = 0.167