find the 5th term of the geometric progression of,4/3, 18/9, 1, 16/27.​

The length οf diameter οf the given sphere is 18m.

A sphere is a three-dimensiοnal οbject which is rοund in shape. It has nο edges οr vertices. The sphere can be defined in three axes, thοse are x-axis, y-axis and z-axis.

The given diagram is a sphere.

Given that,

The surface area οf the sphere is  1017.36 m²

Fοrmula fοr surface area οf the sphere = 4πr² where r is the radius and π=3.14

Equating both we get,

4πr² = 1017.36

[ dividing bοth sides by 4 ]

⇒πr² = (1017.36)/4

⇒πr² = 254.34

[putting the value of π]

⇒r² = 254.34/ 3.14

⇒r² = 81

⇒r =± 9

As radius cannot be a negative value so we take r=9

Sο the radius οf the sphere is 9 m

Diameter = 2× radius =2×9= 18m

Hence, diameter οf the given sphere is 18m.

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Answer:

y = -6x + 6

Step-by-step explanation:

The general equation of a line is

y = mx + b

where m is the slope and b is the y-intercept

The slope in the first equation is 1/6

Mathematically, when two lines are perpendicular, the product of their slopes is -1

1/6 * m2 = -1

m2 = -6

So we have the equation as;

y-y1 = m(x-x1)

y-23 = -6(x + 3)

y = -6x -18 +23

y = -6x + 6

The answer is 0.00068 m³.

Density = Final Density/ (1 - Shrinkage)

Therefore, the Final density of the gear = Density x (1 - Shrinkage)

The final density of the gear = 6.5 x 10^3 kg/m^3 x 0.95 = 6175 kg/m^3

Let V be the volume of the gear, and ρ be the density of the powder.

Then, Mass of the gear = Volume x Density

Mass of the gear = V x ρFinal mass of the gear = Mass of the gear / (1 - Shrinkage)

Final mass of the gear = V x ρ / (1 - Shrinkage)

Density of the gear = Final mass of the gear / Final volume of the gear

The density of the gear = (V x ρ / (1 - Shrinkage)) / (V / (1 - Shrinkage))

Density of the gear = ρ

Therefore,ρ = Final density of the gear = 6175 kg/m³

Hence,Volume of the gear = Mass of the gear / Density of the powderVolume of the gear = 0.91 kg / 6.5 x 10³ kg/m³Volume of the gear = 0.00014 m³

Let Vp be the volume of the powder.

Then,Volume of the powder = Vp - Volume of the gearVolume of the powder = Vp - 0.00014 m³

Also, the mass of the powder is given as: Mass of the powder = Volume of the powder x Density of the powder

Mass of the powder = Vp ρ

Hence, the required volume of powder to make the gear is (Vp - 0.00014 m³) which is 0.00068 m³ or 680 cm³ (approx).

Therefore, the answer is 0.00068 m³.

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The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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The decimal division of 18.92 by 11 gives us; 1.72

When dividing decimals,  we first have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way, like in regular long division.

We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;

18.92/11 = 1892/1100

= 1 + (1892 - 1100)/1100

= 1 + (792/1100)

= 1 + 0.72

= 1.72

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Answer:

Step-by-step explanation: 76

Answer:

price of vegetables= regular price-discount

p=r-discount

Step-by-step explanation:

discount = regular price- price of vegetables

discount= r-p

OR

price of vegetables= regular price-discount

p=r-discount

percentage discount

[(original price- discounted price)/original price]*100= percent discount

Answer:

P = r - 8

Step-by-step explanation:

Got it correct.

Similarly, we need to calculate the area between the Lorenz curve and the line of perfect equality after the tax law and multiply it by two to obtain the Gini coefficient. Calculating these integrals and performing the necessary calculations will give you the Gini coefficients for both years.

To calculate the Gini coefficient, we need to find the area between the Lorenz curve and the line of perfect equality. The Gini coefficient is equal to twice the area between the Lorenz curve and the line of perfect equality.

Before tax law:

The Lorenz curve equation is y = 0.99x^2.1.

The line of perfect equality equation is y = x.

To find the Gini coefficient before the tax law, we need to calculate the area between the Lorenz curve and the line of perfect equality. This can be done by integrating the difference between the two equations over the range of income (x) values.

The Gini coefficient before the tax law is equal to twice the calculated area.

After tax law:

The Lorenz curve equation is y = 0.31x^(0.7) + 0.69x.

The line of perfect equality equation is y = x.

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It is not possible to find two numbers with two decimal places that round to 312 when rounded to one decimal place and have a total of 62.4.

To solve this problem systematically, we can break it down into smaller steps:

Let's assume the two numbers are x and y, both with two decimal places.

We can represent them as x = a.b and y = c.d, where a, b, c, and d are digits.

Rounding x and y to one decimal place gives us the following equations:

Round(x) = a.b ≈ 312

Round(y) = c.d ≈ 312

Since the total of the numbers is 62.4, we have the equation:

x + y = a.b + c.d

= 62.4

From Step 2, we know that both a.b and c.d are approximately equal to 312.

So, we can write:

a.b ≈ 312

c.d ≈ 312

Since a.b and c.d are rounded to one decimal place, we can rewrite them as:

a.b = 312 + p

c.d = 312 + q

p and q are the decimal parts that were rounded.

Substituting the new representations of a.b and c.d into the equation from Step 3, we get:

(312 + p) + (312 + q) = 62.4

Simplifying the equation gives us:

624 + (p + q) = 62.4

Solving for (p + q), we have:

p + q = 62.4 - 624

= -561.6

Since p and q are decimal parts, they must be between 0 and 1. -561.6 is outside this range, which means there are no values for p and q that satisfy the given conditions.

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The probability that they all have different birthdays is 0.903 or 90.3%.

1. Calculate the number of days in a year.

There are 365 days in a year.

2. Calculate the number of possible combinations for 3 people.

There are 365 x 365 x 365 = 4,738,625 possible combinations for 3 people.

3. Calculate the number of combinations where all 3 people have different birthdays.

There are 365 x 364 x 363 = 4,324,320 combinations where all 3 people have different birthdays.

4. Calculate the probability.

The probability that they all have different birthdays is 4,324,320 / 4,738,625 = 0.903 or 90.3%.

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Answer:

5.4

Step-by-step explanation:

5^2+2^2=x^2

25+4+x^2

29=x^2

square root of 29 and 2

5.385 rounded to 5.4

Manipulating temperature in a room to study its impact on task performance involves categorizing the various temperature conditions as the "levels" of the variable.

In experimental research, when investigating the influence of temperature on task performance, researchers manipulate and control the temperature to create different conditions or levels. These temperature levels serve as the independent variable in the study. By systematically altering the temperature, researchers can observe and analyze how variations in temperature affect participants' performance on the given tasks. This experimental design allows researchers to identify patterns, trends, and potential causal relationships between temperature and task performance. Understanding the different temperature conditions or levels in such studies helps researchers learn about the nuanced impact of temperature on human performance and potentially inform practical applications in various settings, such as optimizing work environments or designing effective learning spaces.

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Given:

The given inequalities are:

Solving first inequality, we get:

Solving the second inequality, we get:

Merging the solutions of both inequalities, we get:

So, the graph will be a number line with an open circle at 2 and a closed circle on 6 and shading in between.

Therefore,

Option A is correct.

The target heart rate is strictly increasing then strictly decreasing between 40 and 60 minutes (Option B)

There are three observed intervals shown on the graph and during those three there are times when his heart rate increases, then becomes stable and then decreases.

However, between the intervals of 40 to 60 minutes, there was no point where it was stable or level. It increased rapidly at the 40th minute and at the 50th minute it began to drop rapidly till the 60th minute.

**(Note that when he approached the 70th minute he was already stable and there was no increase or decrease)**

Whether the two ratios are 2: 3 and 2: 3 or a proportion

4: 6 and 12: 18

\($\frac{4}{6}$\)   and

\($\frac{12}{18}=\frac{2}{3}$\)   and

2/3

=2: 3 and 2: 3

Yes the given two ratios form a proportion.

The complete question is:

Check whether the given two ratios form a proportion or not: 4: 6  12: 18

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Answer:

-50.47

Step-by-step explanation:

So you see how there is a +(- ? That means to ignore the + and just subtract. BUT, when you subtract negatives it's simply adding them together.

So to do it you would say 37.27 + 13.2 which gives you 50.47. Then make it negative and boom there is your answer!

Mark brainliest if you can :D

Answer:

(x-5)^2 + (y-6)^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-5)^2 + (y-6)^2 = 3^2

(x-5)^2 + (y-6)^2 = 9

The height of the second square base prism is 50 cm.

The volume of the first square base prism is represented as follows:

v = ha²

where

Therefore, the height of the prism is 10 cm.

v = 10a²

Hence, the volume of the initial prism is 5 times the volume. Therefore,

v = 5(10a²)

v = 50a²

Therefore,

50a² = ha²

divide both sides by a²

50a² / a² = ha² / a²

50 = h

h = 50  cm

Therefore, the height of the second square base prism is 50 cm.

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Answer:

D

Step-by-step explanation:

Answer: C

Step-by-step explanation:

4/8 ×3/1

The relation r possesses the properties of reflexive and symmetric, but not transitive.

To justify this answer, let's examine each property individually:

Reflexive: A relation is reflexive if a r a for all a ∈ Z. In this case, |a - a| = 0, which is less than or equal to 2. Therefore, the relation r is reflexive.

Symmetric: A relation is symmetric if a r b implies b r a for all a, b ∈ Z. In this case, if |a - b| ≤ 2, then |b - a| = |a - b| ≤ 2 as well. Therefore, the relation r is symmetric.

Transitive: A relation is transitive if a r b and b r c implies a r c for all a, b, c ∈ Z. However, this is not necessarily true for the relation r. For example, if a = 1, b = 3, and c = 5, then |a - b| = 2 and |b - c| = 2, but |a - c| = 4, which is not less than or equal to 2. Therefore, the relation r is not transitive.

In conclusion, the relation r defined on Z by a r b if |a − b| ≤ 2 possesses the properties of reflexive and symmetric, but not transitive.

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You write f (-2) = 3 as (-2, 3) and f (5) = 7 as (5, 7).

The answer for the graph is \(\mathbf{\frac{4}{3}}\textbf{\textit{x}}\mathbf{+\frac{1}{3}}\).

Step-by-step explanation:

(a + b)(5a – 3b) + (a – 3b)(a – b)

Expand each of the terms separately

That's

(a + b)(5a – 3b) = 5a² - 3ab + 5ab - 3b²

= 5a² + 2ab - 3b²

(a – 3b)(a – b) = a² - ab - 3ab + 3b²

= a² - 4ab + 3b²

Add the terms

That's

5a² + 2ab - 3b² + a² - 4ab + 3b²

Group like terms

5a² + a² + 2ab - 4ab - 3b² + 3b²

We have the answer as

(a – b) (a² + b² + ab) – (a + b) (a² + b²– ab)

Expand the terms separately

For (a – b) (a² + b² + ab)

Using the rule

x³ - y³ = (x - y)( x² + xy + y²) expand the expression

So we have

(a – b) (a² + b² + ab) = a³ - b³

For (a + b) (a² + b²– ab)

Using the rule

x³ + y³ = (x + y)( x² - xy + y²) expand the expression

We have

(a + b) (a² + b²– ab) = a³ + b³

Subtract the terms

That's

a³ - b³ - (a³ + b³)

Remove the parenthesis

a³ - b³ - a³ - b³

Group like terms

a³ - a³ - b³ - b³

We have the final answer as

(b² – 49) (b + 7) + 343

Expand the terms

That's

b³ + 7b² - 49b - 343 + 343

We have the final answer as

Hope this helps you

Rounding to three decimal places, the equation becomes:

y = (0.071)x + (2.475).

To find the equation of the line tangent to a curve at a given point, we need to determine the slope of the curve at that point and then use the point-slope form of a line.

For the curve y = e^(2x), we can find the derivative of y with respect to x to determine the slope of the tangent line at any point on the curve. Taking the derivative, we have:

dy/dx = d/dx(e^(2x)) = 2e^(2x).

Now, we can evaluate the slope of the tangent line at the point (x, y) on the curve by substituting x into the derivative:

m = 2e^(2x).

Since we want to find the equation of the tangent line at a specific point, we substitute the coordinates of the point (x, y) = (1, e^(2)) into the slope equation:

m = 2e^(2(1)) = 2e^2.

The equation of the tangent line is given by y = mx + b, where m is the slope and (x, y) is a point on the line. We have the point (1, e^(2)), so the equation becomes:

y = 2e^2x + b.

To find the value of b, we substitute the coordinates of the point (x, y) = (1, e^(2)) into the equation:

e^(2) = 2e^2(1) + b,

b = e^(2) - 2e^2.

Therefore, the equation of the tangent line to y = e^(2x) at the point (1, e^(2)) is:

y = 2e^2x + (e^(2) - 2e^2).

Simplifying further, we get:

y = 2e^2x + e^(2) - 2e^2,

y = 2e^2x + e^(2) - e^2,

y = 2e^2x + e^(2).

For the curve y = ln(5x + 9), we can follow a similar process to find the equation of the tangent line.

Taking the derivative of y with respect to x:

dy/dx = d/dx(ln(5x + 9)) = 1/(5x + 9).

To find the slope of the tangent line at the point (1, ln(14)), we substitute x = 1 into the derivative:

m = 1/(5(1) + 9) = 1/14.

The equation of the tangent line is given by y = mx + b, where m is the slope and (x, y) is a point on the line. Substituting the coordinates of the point (1, ln(14)):

ln(14) = (1/14)(1) + b,

ln(14) = 1/14 + b,

b = ln(14) - 1/14.

Therefore, the equation of the tangent line to y = ln(5x + 9) at the point (1, ln(14)) is: y = (1/14)x + (ln(14) - 1/14).

Rounding to three decimal places, the equation becomes:

y = (0.071)x + (2.475).

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Answer:

the answer is x=4

Step-by-step explanation:

Answer: C. It is difficult to prevent since ship hulls begin, conduct, and end voyages in water.

Step-by-step explanation:

The option that is true concerning hull fouling from commercial shipping and recreational boating is; C: It is difficult to prevent since ship hulls begin, conduct, and end voyages in water.

Hull fouling is a phenomenon that arises due to the accumulation of marine growth that leads to reduction in speed of the vessel, increase in the bunker consumption and also the accumulation of more cleaning costs.

Now, this marine growth such as water hyacinths and others are very hard to prevent because the ship lull is not something that can be brought to land before movement as it starts and ends it's journey inside the water.

Thus, the correct option is C.

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Answer:

how can you mato someone brainlI

est

Answer:

108

Step-by-step explanation:

Mike's current age, be M

Then Brandon's is: M - 27

Also, M = 4(M - 27)

M = 4M - 108

M - 4M = - 108

- 3M = - 108