A circular tabletop has a diameter of 2.1 m.
a) What is the area?
b) The table is to be painted. One tin of paint can cover an area of 1.75 m² and cost 5.50 dollars.
ii)How any tins of paint must be bought?
iii) How much will it cost for materials and labour is 2/3 the cost of materials?

Answer:

Surface area of prism A is approximately 12.4 square units.

Step-by-step explanation:

Since prism A and prism B are similar, their corresponding side lengths are proportional. Let's use the scale factor k to represent the ratio of the side lengths of prism B to those of prism A. Then, the volume of prism B is (k³)(27) = 27k³ cubic units. Similarly, the surface area of prism B is (k²)(surface area of prism A).

We are given that the volume of prism B is approximately 512 cubic units. Therefore, we can solve for k:

27k³ = 512

k³ = 512/27

k ≈ 3.62

Now, we can use k to find the surface area of prism A:

surface area of prism B = (k²)(surface area of prism A)

128 = (3.62²)(surface area of prism A)

surface area of prism A ≈ 12.4 square units

Therefore, the surface area of prism A is approximately 12.4 square units.

A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.

This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where \(e = y - ŷ\), where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.

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Answer:

8.18

Step-by-step explanation:

Answer:

8.19

Step-by-step explanation:

a irrational number

Answer:

1,764

Step-by-step explanation:

first you 6x7 then 3x4x3.5 then add the products together

p.s. your welcome

Answer:

1. City A
2. Exponential Growth
3. Linear

Step-by-step explanation:

The equation for exponential growth is f(x)=a(1+r/100)^x, where a is the initial growth/starting population, r is the growth rate, and x is the time intervals.

City A
f(x)=200(1+1.05/100)^x
Simplify:
f(x)=200(1.105)^x

City B
An increase in 20 people each year is NOT exponential but linear:
f(x)=20x+200

Now we plug in x for 1 to stand for 1 year and see which city has a greater number:
City A:
f(1)=200(1.105)^1
f(1)=200 x 1.105
f(1)=221

City B:
f(1)=20(1)+200

f(1)=20+200

f(1)=220

City A will have more people.

City A is an exponential function because there's a percent increase every year, and there will be more people every year because there are more people. This is kind of how compound interest also works

City B is a linear equation because a set number of people are added every year and doesn't change based on the amount of people already in it.

1. City B will have more population after 1 year.

In this case, we have been given of both the cities A and B with each year's growth factor and we have been told to find out, which city will have more population after 1 year. So to find out the comparison, first we need to find out the individual popoulation of both the cities after 1 year of interval.

So, population of City A after 1 year will be 200 * 1.05 = 210

Similarly,  population of City B after 1 year will be 200 + 20 = 220

It is clear that City B has more population as compared to City A.

Therefore, after 1 year City B has more population.

2. equation for City A is Exponential Growth Equation.

Exponential growth is the growth which takes place when a particular quantity increases at a constant rate over a fixed time period. It is given in the form of \(P = P_{0} * (1 + r)^t\), where P is population, \(P_{0}\) is initial population, r is the growth rate, and t is time period.

3. equation for City B is Linear Equation.

Linear equation is a representation of a straight line when graphed on paper. It has constant coefficients and variables raised to power 1. It is given in the form of \(P = P_{0} + rt\), where P is population, \(P_{0}\) is initial population, r is the growth rate, and t is time period.

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Answer c

Step-by-step explanation:

Solution:

The volume of a cylinder is expressed as

Given the cylindrical water tank below:

where

By substitution, we have

Hence, the volume of the cylindrical water tank, to the nearest whole number, is

Answer:

Mila= 420 Nadia= 60

Step-by-step explanation:

Let's call Mila 7x. And x to Nadia. The two of them had a total of 480s.

Then we say 7x + x. Their total is 8x. So 480 = 8x. We divide both sides by 8. Here x = 60. Since Mila is 7x, we find Mila as 7.60 = 420, and since Nadia as x, we find Nadia as 1.60 = 60.

If there is any place you don't understand, you can ask.

#Achievements

The answer is sin 2x = 4/5, cos 2x = -21/25, and tan 2x = -4/3

tan x = 2/1, and x terminates in the first quadrant

We can use the Pythagorean theorem to find the opposite side;

we get Opposite side = sqrt(5)

Adjacent side = 2cos x

                       = adjacent/hypotenuse

=> 1/sqrt(5) = cos x

=> cos x = sqrt(5)/5

sin x = opposite/hypotenuse

=> 2/sqrt(5) = sin x

=> sin x = 2sqrt(5)/5

Now, we can use the double angle formulas to find sin 2x, cos 2x and tan 2x.

The formulas are sin 2x = 2sin x cos x

cos 2x = cos²x - sin²x

tan 2x = 2tan x/

1 - tan²x sin 2x = 2sin x cos x

= 2(2sqrt(5)/5 * sqrt(5)/5)

= 4/5cos 2x

= cos²x - sin²x

= (sqrt(5)/5)² - (2sqrt(5)/5)²

= -21/25tan 2x

= 2tan x/1 - tan²x

= 2(2/1)/(1 - (2/1)²)

= -4/3

Therefore, sin 2x = 4/5cos 2x = -21/25 tan 2x = -4/3

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Answer:

The Answer is 20 cake pops are covered with green sprinkles.

Step-by-step explanation:

So if you have 1/2 choclate, 1/3 strawberry, and the rest are green, you first need to convert the Chocolate and the Strawberry into the same fraction. As shown:

Chocolate: 1/2=3/6

Strawberry:1/3=2/6

The rest are Green sprinkles.

So, your equation would be:

Chocolate sprinkles + Strawberry Sprinkles + Green Sprinkles = Total

And their are 5/6 of Chocolate and Strawberry Sprinkles...

That would mean 100 Chocolate and Strawberry Sprinkles!

Because 1/6 of 120 is 20 and multiply that by five and you have 100...

Now that we have that, and we know the rest are green...

we just do 120-100=20

So their you go!

Sorry its long but hope it helps! <3

A correlational result can be used to infer causality, but only if the value of r is greater than 0.

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first one is easy money

right angle = 90, and we also have 42 so:

90+42=132

180-132=48

2nd one is weird, why is there a 150 down there? triangles add up to 180 nso right angle already gets 90 degrees.--oh wait I just got it, so that is the angle of the outer. we know a line is 180 degrees, so 180-150=30 so we found that degree

So now 90+30=120, 180-120=60

Answer:

x = 120

y = 30

Step-by-step explanation:

Given that RST is equilateral, each of its interior angles will be 60 degrees

Looking at x, it lies on a starting line with one of the interior angles of RST

The sum of angles on a straight line is 180

Thus;

x + 60 = 180

x = 180-60

x= 120

Looking at triangle RSU, the markings indicates that we have an isosceles triangle

For an isosceles triangle, the base angles are equal in value

This means that SRU is also y

Mathematically, the sum of angles in a triangle is 180

Hence;

x + y + y = 180

x + 2y = 180

120 + 2y= 180

2y = 180-120

2y = 60

y = 60/2

y = 30

Answer:

The answer is -3 2/7

Step-by-step explanation:

5- 1x1 - -4x4 + 3/2-1-4-4

5 - 1 +16+3/2-1-4-4

4+16+3/-7

23/-7

or - 3 2/7

Sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, lies between 1/10 and 1/9

1/10 < S < 1/9

The correct option is C.

From the question, we have the following information is:

If S is the sum of the reciprocals of the consecutive integers from 91 to 100.

Now, we have to find the which of the following is less than S?

Now, According to the question:

There are 10 consecutive integers from 91 to 100 , inclusive

If all 10 integers be 90 , then sum of the reciprocals of the consecutive integers :

=> \((\frac{1}{90} )10 =\frac{1}{9}\)

If all the 10 integers be 100, then sum of the reciprocals of the consecutive integers:

=> \((\frac{1}{100} )10 =\frac{1}{10}\)

This means, sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, lies between 1/10 and 1/9

1/10 < S < 1/9

Hence, 1/10 is less than S  

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Answer:

x is what????

Step-by-step explanation:

fobt ≈ 1.945. This is the calculated value of the F-statistic for the given data.

The fobt, also known as the F-statistic, is used in statistical analysis to assess the significance of differences between groups or treatments. It is calculated by dividing the mean square variation between groups (MSbetween) by the mean square variation within groups (MSwithin).

In this case, we are given MSbetween = 54.2 and MSwithin = 27.9. To find fobt, we use the formula fobt = MSbetween / MSwithin. Substituting the given values, we have fobt = 54.2 / 27.9.

Dividing these two values gives us fobt ≈ 1.945. This is the calculated value of the F-statistic for the given data. The significance of this value depends on the context and the specific analysis being performed. Generally, the fobt value is compared to a critical value or p-value to determine if the observed differences between groups are statistically significant.

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The value of alpha is 0.025. The Z-value is 1.96. The P(z) is 0.5. The effect size is 0.05. The Sample size for the study is 384.

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers. The 68-95-99.7 Rule states that 95% of values lie within two standard deviations of the mean, hence to get the 95% confidence interval, you add and subtract two standard deviations from the mean.

Here,

All the calculations attached in image.

z= 1.96

p = 0.5

q = 1-p = 0.5

E = 0.05

sample size =

(z^2).(pq)=(1.96^2).(0.5)(.0.5)

384.16,

round up

n for study =385

Alpha has a value of 0.025. There is a 1.96 Z-value. P(z) equals 0.5. The impact factor is 0.05. The Sample size for the study is 384.

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Answer:

Hope this helps!!

The prime factorization of the radicand 2 is 9√15.

A number can be expressed as the product of its prime components through the process of prime factorization. A number with precisely two elements, 1 and the number itself, is said to be a prime number.

As an illustration, let's use the number 30. We know that 30 = 5 × 6, but 6 is not a prime number. The number 6 can further be factorized as 2 × 3, where 2 and 3 are prime numbers. Therefore, the prime factorization of 30 = 2 × 3 × 5, where all the factors are prime numbers.

Given that,

x= 3√135

Solving the equation further using the rule √A*B = √A*√B

x= 3√9*15

x= 3√9*√15

x=3*3*√15

x= 9√15

Therefore, the prime factorization of the radicand 2 is 9√15.

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56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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STEP - BY - STEP SOLUTION

What to find?

The similarity ratio of WXYZ to EFGD.

Given:

The ratio of WXYZ to EFGD can be determine by taking the ratio of any of the simila side of WXYZ to EFGD.

That is;

Since EFGD is a rectangle, using the property of the rectangle that state " opposite sides are congruent, we can deduce that ED = EG = 6

Hence,

ANSWER

1/2

The total number of ways to earn extra credit is n + m + p + q.

There are four options given for earning extra credit: redoing an assignment, redoing a quiz, completing a project, or doing corrections for a quiz. To determine the number of ways you can earn extra credit, we can consider each option individually and count the possibilities.

Redoing an assignment: If there are 'n' assignments available to redo, you have 'n' ways to earn extra credit by choosing one of them.

Redoing a quiz: If there are 'm' quizzes available to redo, you have 'm' ways to earn extra credit by choosing one of them.

Completing a project: If there are 'p' projects available to complete, you have 'p' ways to earn extra credit by choosing one of them.

Doing corrections for a quiz: If there are 'q' quizzes available for corrections, you have 'q' ways to earn extra credit by choosing one of them.

To find the total number of ways to earn extra credit, we can sum up the possibilities for each option:

Total ways = (Number of ways to redo an assignment) + (Number of ways to redo a quiz) + (Number of ways to complete a project) + (Number of ways to do corrections for a quiz)

Total ways = n + m + p + q

Therefore, the total number of ways to earn extra credit is n + m + p + q.

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Answer:

The presence of many unpaired electrons in the valence shell of an atom enables it to form multiple bonds with other atoms. The paired electrons present in the valence shell do not take participate in the formation of chemical bonds as per the valence bond theory.

Answer:

16

Step-by-step explanation:

The quadratic equation –3 = –x2 + 2x must first be rewritten in standard form:  

x^2 - 2x - 3 = 0

or:

1x^2 - 2x - 3 = 0

The coefficients a, b and c are thus {1, -2, -3}, and therefore the discriminant, b^2 - 4ac, is

(-2)^2 - 4(1)(-3), or 4 + 12 = 16

Answer:

d) 16

Step-by-step explanation:

edge 2020-2021

Answer:

Y = 3

X = 2

Step-by-step explanation:

(6x2) = 12

(8x3) = 24

12 + 24 = 36

(6x2) = 12

(5x3) = 15

12 + 15 = 27

Answer:

Its D if you think about it

Step-by-step explanation:in your mind move the triangle on the top right down 6 units and then turn your triangle 90 degrees counter clockwise (quick maths)

The only transformation that will move the triangle in quadrant 1 onto the similar triangle in quadrant three is;

Option D; translation 6 units down and rotation 90° counterclockwise

The y-coordinate of the right angle vertex of the triangle in quadrant 1 is y = -2. Meanwhile the y-coordinate of the same right angle point of the triangle in quadrant 3 is y = -4.

Thus, for the triangle in quadrant 1 to be on the same level with that in quadrant 3, we need to translate the triangle in quadrant 1 downwards by 6 units.

Now, since we want to map this newly translated triangle to the one in quadrant 3 and as such we need to rotate it 90° counterclockwise

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Answer:

The equation for this is:

n(g) + 49 - 3

Step-by-step explanation:

The term "Product" means "multiplication." And "number" can be reduced to the term "n," like "g" is. The word "and" means "addition." And, "3 less" means - 3:

n(g) + 49 - 3

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Answer:

49g -3

Step-by-step explanation:

3 less than the product of a number g and 49

Writing an algebraic expression

less than means it comes after

the product of a number g and 49

49g

3 less than

49g -3

Answer: First Choice. no solution

Step-by-step explanation:

Given

5 (x + 1) ≤ 5x + 3

Expand parentheses and apply the distributive property

5x + 5 ≤ 5x + 3

Subtract 5x on both sides

5x + 5 - 5x ≤ 5x + 3 - 5x

5 ≤ 3

5 ≤ 3 is not true, therefore, there is no solution.

Hope this helps!! :)

Please let me know if you have any questions