is there anybody to solve this need step by step solution details

Is There Anybody To Solve This Need Step By Step Solution Details

Answers

Answer 1

The circumference of the circles from biggest to smallest are; 30π, 15π and 7.5π

How to find the area of a circle?

The formula for area of a circle is;

A = πr²

In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.

The area of a circle formula is useful for measuring the region occupied by a circular field or a plot. Suppose, if you have a circular table, then the area formula will help us to know how much cloth is needed to cover it completely.

The area formula will also help us to know the boundary length i.e., the circumference of the circle. Does a circle have volume? No, a circle doesn't have a volume

Area of entire circle is 706 cm².

Thus;

πr² = 706

r² = 706/π

r = √(706/π)

r ≈ 15

Circumference of biggest circle = 2πr

Circumference of biggest circle = 2π * 15

Circumference of biggest circle = 30π

Circumference of second biggest circle = 2π * (15/2)

Circumference of second biggest circle = 15π

Circumference of smallest circle = 2π * (15/4)

Circumference of smallest circle = 7.5π

Read more about area of circle at; https://brainly.com/question/15673093

#SPJ1


Related Questions

45.7 kilometers =
meters

Answers

Answer:

45.7 kilometers = 45,700 meters

Explanation:

Hi!
Okay, so basically, in one kilometer, there are 1000 meters.
Using this problem, all you have to do is multiply 45.7 by 1000, which is 45,700.

Whatever value is used for kilometers (ex. 2), just multiply by 1000, and you’ll get the value as meters (ex. 2 x 1000 = 2000 meters).


Hope this helps!

Length conversion

To convert kilometers to meters, multiply the kilometer value by 1000 meters which is equal to 1 km.

Convert 45.7 kilometers to meters:

Knowing that 1000 m = 1 km.

               [tex]\boldsymbol{\sf{Therefore \ \ \longmapsto \ \ 45.7\not{km}*\left(\dfrac{1000 \ m}{1\not{km}}\right)=45700 \ m }}[/tex]

45.7 km = 45,700 m

ヘ( ^o^)ノ\(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:

https://brainly.com/question/15805924

In a student club, the probability that a randomly selected member volunteered for a recent activity was 24/43. What is the probability that a randomly selected member did not volunteer for the recent activity?

Answers

The probability that a randomly selected member did not volunteer for the recent activity is 19/43.

What is the probability?

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.

The probability that a randomly selected member did not volunteer for the recent activity = 1 - ratio of randomly selected members that volunteered

1 - 24/43

(43/43) - (24/43) = 19/43

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

a man borrowed GHC 1200 at the bank for 4 months at the rate of 5%.Calculate a. his simple interest

Answers

there are 12 months in a year, so then 4 months is really 4/12 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & 1200\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=\to \frac{4}{12}years\dotfill &\frac{1}{3} \end{cases} \\\\\\ I = (1200)(0.05)(\frac{1}{3})\implies I=20~GHC[/tex]

Show all work to write the expression in simplified radical form:
[tex]\sqrt[4]{3^{7}}[/tex]
(Fourth root of three to the seventh power)

Answers

Answer:

1.873

Step-by-step explanation:

Use the exponent rule for roots

[tex]\sqrt[4]{3^{7} } = 3^{\frac{4}{7} }=3^{0.5714} = 1.873[/tex]

Good luck!

urgently needing help ​

Answers

Answer:

the answer is 86,016

Step-by-step explanation:

i took the test

Answer:

The answer is 4.

Step-by-step explanation:

8(-1)^4 - 3(-1) - 7

    8 + 3 - 7

      11 - 7

         4

J(1)²,
x ≤ 0
x > 0
2²,
Complete the table of values for function f, and then plot the ordered pairs on the graph.
-2
-1
0
1
2
f(x)
=
X
f(x)
Drawing Tools
Select
Point
Open Point
>
O
Click on a tool to begin drawing.
-10
-8
-6
-4
-2
10
8
6
4-
2-
-2
पं
CC
f(x)
Delete
2
4
Undo
6
3
+00
8

Answers

Answer:

1/4 ,- 4, 1/2 2 1/2 4 1/4

Step-by-step explanation:

1/4, 4 1/2, 2,1/2,4, 1/4,

which table of ordered pairs represents a proportional relationship?

Answers

Answer:

B

Step-by-step explanation:

Every (x,y) pair is equal to each other, thus making them proportional :)

What is the missing factor in the equation? Assume x * 0 and y* 0.
(5x²)(7) = 3xV²
5y
10
O
O
3x
लौजे अने
5y
4x
O 2xy²
5
O 9x³y
25

Answers

Answer:

[tex]\sf b) \quad \dfrac{y^3}{4x}[/tex]

Explanation:

[tex]\sf \left(\dfrac{6x^2}{5y}\right) \left(?}\right) = \left(\dfrac{3xy^2}{10}\right)[/tex]

cross multiply variables

[tex]\sf ? = \left(\dfrac{3xy^2 (5y)}{10(6x^2)}\right)[/tex]

distribute inside parenthesis

[tex]\sf ? = \left(\dfrac{15xy^3}{60x^2}\right)[/tex]

remove parenthesis and simplify

[tex]\sf ? = \dfrac{y^3}{4x}[/tex]

6. A cube of side 10 cm is melted down
and made into ten identical spheres.
Calculate the surface area of one of the
spheres.

Answers

The surface area of the Spheres is 104.19 cm².

According to the statement

we have given that the

there is a cube with side 10 cm and convert into ten spheres and we have to find the surface area of a sphere.

So,

we know that the cube has a  6 sides, each one 10 x 10 cm

So,

A cube with sides of 10 cm will have a surface area of 600 cm².

And The volume of the cube will be 1,000 cm³  ( = 10 x 10 x 10).

If you melt it down to form ten identical spheres, each of them will have a volume of:

1,000 cm³ / 10  =  100 cm³

And the volume of a sphere is:

[tex]V = 4/3 (pi)r ^{2}[/tex]

So you can calculate the radius of the spheres:

r³ =  3V / 4pi  =  (300) / (12.5664)  =  23.8732 cm³

r  =  2.8794 cm

Now, you can use the radius to find the surface area of the spheres:

As  =  4pi*r² =  (12.5664)(2.8794)^2  =  104.19 cm²

So, The surface area of the Spheres is 104.19 cm².

Learn more about surface area here https://brainly.com/question/16519513

#SPJ1

suppose you are given the following information and the coordinate plane below

Answers

Answer: 4.9

Step-by-step explanation:

[tex]AB=\sqrt{(-4-3)^2 +(6-4)^2}=\sqrt{53}\\\\A'B'=\frac{2}{3}\sqrt{53} \approx \boxed{4.9}[/tex]

The spread of a disease can be modeled as N = 250√ where N is
the number of infected people, and t is time (in days).
How long will it take until the number of infected people reaches
2,500?

Answers

The spread of the disease will take a time 100 days to reach 2,500 infected people.

How to find the number of infected people at a certain time

In this problem we have a radical equation that represents the number of infected people as a function of time, we are suppose to find the time when that number will be 2,500 by algebra properties: (N = 2,500)

2,500 = 250 · √t

√t = 2,500 / 250

√t = 10

t = 10²

t = 100

The spread of the disease will take a time 100 days to reach 2,500 infected people.

Remark

The statement is poorly formatted and presents typing mistakes, correct form is shown below:

The spread of a disease can be modeled as N(t) = 250 · √t, where N is the number of infected people, and t is time (in days). How long will it take until the number of infected people reaches 2,500?

To learn more on radical equations: https://brainly.com/question/11631690

#SPJ1

what percent of 15.5 is 12.9? round to the nearest hundredth of 8%

Answers

Answer:

83.23%

Step-by-step explanation:

Proportioned Value = 12.9

Total Value = 15.5

Percentage = Proportioned Value / Total Value * 100%

= [tex]\frac{12.9}{15.5}*100[/tex]

= 83.23% (nearest hundredth)

The answer is 83.23%.

To find the percentage, take the ratio between 12.9 and 15.5, and multiply by 100%.

12.9/15.5 × 100%0.8323 × 100%83.23%

Patrick is an electrical engineer who is testing the voltage of a circuit given a certain current and resistance. He uses the following formula to calculate voltage: voltage=(current) × (resistance) The circuit he tests had a current of 4+j2 amps and a resistance of 2-j3 ohms. What is the voltage of the current?

Answers

Based on the given current and the given resistance, the voltage of the current is 14 + j8

How to determine the voltage of the current?

From the question, we have the following parameters

current of 4+j2 amps and a resistance of 2-j3 ohms.

This can be rewritten as:

Current (I) = 4+j2 amps

Resistance (R) = 2-j3 ohms.

The formula to calculate voltage is given as

Voltage=(current) × (resistance)

Rewrite as:

V = I * R

Substitute the known values in the above equation

V = (4 + j2) * (2 - j3)

Expand the brackets

V = 8 - j4 + j12 + 6

Collect the like ters

V = 8 + 6 - j4 + j12

Evaluate the like term

V = 14 + j8

Based on the given current and the given resistance, the voltage of the current is 14 + j8

Read more about current and voltage at:

https://brainly.com/question/14883923

#SPJ1

Q.2. Solve the following. a) How many triangles can you find in the figures below? b) How many different edges are used in these triangles? c) If the area of each of the 4 smallest triangles is the same and thi area is 1 square unit, what is the area of each triangle in the figure?​

Answers

Total 8 triangles are formed in figure and 4 edges used to make triangles and The area of all triangle is 1 square unit.

According to the statement

we have given that a figure and we have to the number of triangle present in it and the area of each square and the number of edges used in all triangles.

So, For this purpose, we know that the

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

So,

A. The number of triangles present in figure:

There is a rectangle provided with two diagonals and due to this structure

Firstly 4 triangles are formed with 2 diagonals (big size).

And 4 triangles are formed in diagonals because diagonals cut each other (small size).

So, Total 8 triangles are formed in figure.

B. Edges used to form triangle :

there are 4 edges used to form triangles because of presence of overall shape of rectangle because triangles are formed in a rectangle shape.

So, 4 edges used to make triangles.

C. Area of the triangle:

If the area is 1 square unit and area of all triangles are same

So, The area of all triangle is 1 square unit.

So, Total 8 triangles are formed in figure and 4 edges used to make triangles and The area of all triangle is 1 square unit.

Learn more about triangle here

https://brainly.com/question/1675117

#SPJ1

Factor problems 9 - 12 by using the difference of squares method.
9. x2 – 4
A. This polynomial cannot be factored by using the difference of squares method.
B. (x – 2)(x – 2)
C. (x – 2)(x – 1)
D. (x – 2)(x + 2)
E. (x – 1)(x – 4)
F. (x + 2)(x + 2)
10. x2 – 25
A. (-x – 5)(x - 5)
B. This polynomial cannot be factored by using the difference of squares method.
C. (-x + 5)(x + 5)
D. (x – 5)(x + 5)
E. (x + 5)(-x - 5)
F. (x – 5)(x - 5)
11. 36x4 – 4x2
A. (6x2 – 2x)(6x2 - 2x) = 4x2(3x - 1)(3x - 1)
B. (6x2 + 2x)(6x2 + 2x) = 2x2(3x + 1)(2x + 1)
C. This polynomial cannot be factored by using the difference of squares method.
D. (-6x2 – 2x)(-6x2 - 2x) = 4x2(-3x - 1)(-3x - 1)
E. (6x2 – 2x)(6x2 + 2x) = 4x2(3x - 1)(3x + 1)
F. (-6x2 + 2x)(6x2 - 2x) = 2x2(-3x + 1)(3x - 1)
12. x2 + 100
A. (x + 10)(x – 10)
B. (-x + 10)(x – 10)
C. (x + 10)(x + 10)
D. This polynomial cannot be factored by using the difference of squares method.
E. (x - 10)(x – 10)
F. (-x + 10)(-x – 10)

Answers

Answer:

Step-by-step explanation:

9. D

10.D

11.E

12.D

Answer:

9.

[tex]x^2-4\\(x-2)(x+2)[/tex]

10.

[tex]x^2-25\\(x-5)(x+5)[/tex]

11.

[tex]36x^4-4x^2\\4x^2(9x^2-1)\\4x^2(3x+1)(3x-1)[/tex]

12.

[tex]x^2+100\\[/tex]

This polynomial cannot be factored by using the difference of squares method

A satellite orbits the Earth at a height of 343 kilometers. If the satellite makes 8 revolutions around the Earth, how many kilometers does it travel? (Earth's diameter is 6371 kilometers.) Use 3.14 as the approximate value of pi .

Answers

The number of kilometres travelled by the satellite in discuss in which case, the satellite makes 8 revolutions around the earth is; C = 177,271.8 km.

What is the distance in kilometres covered by the satellite after 8 revolutions?

Given from the task content, the earth's diameter is; 6371 km and since, the height at which the satellite orbits the earth is; 343km, it follows that the diameter of orbit if the satellite in discuss is;

D = 6371 + (343)×2

Hence, we have; diameter, D = 7057 km.

Hence, the distance travelled after 8 revolutions is;

C = 8 × πd

C = 8 × 3.14 × 7057

C = 177,271.8 km.

Read more on circumference of a circle;

https://brainly.com/question/20489969

#SPJ1

On a baseball
field, the
pitcher's
mound is 60.5
feet from home
plate. During
practice, a
batter hits a ball
226 feet at an
angle of 39° to
the right of the
pitcher's
mound. An
outfielder
catches the ball
and throws it to
the pitcher.
Approximately
how far does
the outfielder
throw the ball?
outfielder
batter
A. 147.2 ft
B. 172.1 ft
C. 183.0 ft
D. 162.8 ft

Answers

Based on the distance of the pitcher's mound from the home plate, the path of the ball, and the height the ball was hit, the distance the outfielder threw the ball is C. 183.0 ft.

How far did the outfielder throw the ball?

Based on the shape of a mound, the law of cosines can be used.

The distance the ball was thrown by the outfielder can therefore be d.

Distance is:

d² = 60.5² + 226² - (2 x 60.5 x 226 x Cos(39))

d ²= 33,484.42ft

Then find the square root:

d = √33,484.42

= 182.9874

= 183 ft

Find out more solving for distance at https://brainly.com/question/10739348

#SPJ1

Find the changes in each four month period
Month and Year Prices in Dollars per Gallon Absolute Change Relative Change
Apr-20 1.841 n/a n/a
Aug-20 2.183
Dec-20 2.195
Apr-21 2.858
Aug-21 3.158
Dec-21 3.307
Apr-22 4.109
b. How would you describe the change in the gas prices? Explain your answer.
c. Use the inflation calculator to find the costs of gas in April 2020 in 2022 dollars. Here is the
link to the calculator from the U.S. Bureau of Labor Statistics:
https://www.bls.gov/data/inflation_calculator.htm
d. How does the inflation-adjusted cost of gas in April 2020 compare to the April 2022 as an
absolute and relative change?
e. What can be attributed to the two most drastic rises in gasoline prices? Explain in a sentence
or two.

Answers

a. The changes in each four-month period are as follows:

Month and       Prices       Absolute      Relative

Year              in Dollars     Change       Change

Apr-20              1.841             n/a                n/a

Aug-20            2.183         $0.342        18.58%

Dec-20            2.195            0.012         0.55%

Apr-21             2.858          0.663         30.21%

Aug-21             3.158          0.300        10.50%

Dec-21            3.307           0.149          4.72%

Apr-22            4.109          0.802        24.25%

b. The change in gas prices has been relatively unstable.

c. Using the inflation calculator, the costs of gas in April 2020 in 2022 dollars terms should be $2.08.

d. The inflation-adjusted cost of gas in April 2020 when compared to April 2022 as absolute and relative changes are as follows:

Absolute change = $2.268 ($4.109 - $1.841)

Relative change = 123.2% ($2.268/$1.841 x 100)

e. The two most drastic rises in gasoline prices in April 2021 and April 2022 can be attributed to spikes in demand relative to supply.

What causes gasoline prices to rise?

Gasoline prices rise when there is an increased demand relative to supply.

Increasing prices in gasoline prices can also be attributed to cuts in production and supply by the oil cartel.

What is the difference between Absolute and Relative Changes?

An absolute change is a dollar change from one period to another.

A relative change is an absolute change expressed in percentages.

The calculations of absolute change and relative change are demonstrated below.

Data and Calculations:

Month and       Prices       Absolute      Relative

Year              in Dollars     Change       Change

Apr-20              1.841             n/a                n/a

Aug-20            2.183         $0.342        18.58% ($0.342/$1.841 x 100)

Dec-20            2.195           0.012         0.55% ($0.12/$2.183 x 100)

Apr-21             2.858          0.663        30.21% ($0.663/$2.195 x 100)

Aug-21             3.158          0.300        10.50% ($0.3/$2.858 x 100)

Dec-21            3.307           0.149          4.72% ($0.149/$3.158 x 100)

Apr-22            4.109          0.802        24.25% ($0.802/$3.307 x 100)

Absolute Change for Aug-20 = $0.342 ($2.183 - $1.841)

Learn more about CPI inflation calculations at https://brainly.com/question/24723238

#SPJ1

se the FOIL method to evaluate the expression: (5+2)(4-5)

Answers

The FOIL method is a method of expanding two given brackets by following the required steps. Thus using the FOIL method, the required answer is: -7

Expansion of brackets may be done using different methods, but these methods would give the same answer. Some methods that can be used are the binomial expansion method, FOIL method, etc.

The FOIL method is a shortened form of the steps required for the process. These required steps are First, Outside, Inside, and last.

Thus to expand the given brackets in the question, we have;

(5+2)(4-5) = 5(4 - 5) + 2(4 - 5)

                = 20 - 25 + 8 - 10

                = 28 - 35

(5+2)(4-5) = -7

Thus using the FOIL method, the answer to the question is -7.

Quick check: (5+2)(4-5) = (7)(-1)

                             = -7

For more clarifications on expansion of brackets using the FOIL method, visit: https://brainly.com/question/1592629

#SPJ 1

Taylor is building doghouses to sell. Each doghouse requires 4 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 12 sheets.​

How many doghouses can Taylor make from 16 bundles of plywood?

Answers

Answer: 48 doghouses

Step-by-step explanation:

We will look at the details given, then we will perform the necessary operations to solve the problem.

     16 bundles of plywood * 12 sheets in a bundle = 192 sheets

     192 total sheets / 4 sheets to build a dog house = 48 doghouses

Read more about a similar problem here, please note they use different numbers:

https://brainly.com/question/739960

Is TriangleMNL ≅ TriangleQNL? Why or why not?

Yes, they are congruent by either ASA or AAS.
Yes, they are both right triangles.
No, AngleM is not congruent to AngleNLQ.
No, there are no congruent sides.

Answers

Triangle MNL and triangle QNL are congruent to each other based on by either ASA or AAS.

What are congruent triangles?

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angle triangle. Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent to each other.

From triangle MNL and triangle QNL, in triangle MNL:

∠M + ∠N + ∠L = 180° (sum of angles in a triangle)

90 + 58 + ∠L = 180

∠L = 32°

Hence Triangle MNL and triangle QNL are congruent to each other based on by either ASA or AAS.

Find out more on congruent triangles at: https://brainly.com/question/2938476

#SPJ1

Suppose X, Y and Z are uncorrelated random variables with means 1, 2 and 3 and standard deviations 2, 4 and 5 respectively. If U = Y – X and V = Z – Y. Compute the correlation coefficient between U and V and comment on your result.

Answers

The correlation coefficient between U and V is -0.5587 and it illustrates to at there's a negative relationship between U and V.

How to illustrate the information?

The data shows that:

E(x) = 1

E(y) = 2

E(z) = 3

Var(X) = 2² = 4

Var(Y) = 4² = 16

Var(Z) = 5² = 25.

Cov(U, V) = 16

Var(U) = Var(Z - Y)

= 25 - 0 + 16

= 41

The correlation coefficient will be:

= -16/✓(20 × 41)

= -0.5587

The correlation coefficient between U and V is -0.5587 and it illustrates to at there's a negative relationship between U and V.

Learn more about correlation on:

brainly.com/question/4219149

#SPJ1

2. One day at Coffee Town a customer asks for exactly 300 ml of coffee. To this 300 ml of
coffee,
the customer wants pure cream added until the cream represents 20% of the total volume of
the drink (cream and coffee. Not just 20% of the 300 ml). How much pure cream should the
barista add?

Answers

Answer:60 ml

Step-by-step explanation:20 % of 300 = 60 and snce the rest of the the l are coffee thats 20%

19. What is the probability that the student only plays football?
(a) 35 /66 (b) 20 /33 (c) 13 /33 (d) 5 /33


20. What is the probability that the student plays baseball, but not football?
(a) 3 22 (b) 7 22 (c) 411 (d) 8 33

Answers

Using the probability concept, we have that:

The probability that the student only plays football is: (c) 13 /33.The probability that the student plays baseball, but not football is: (d) 8/33.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The total number of students is given by:

26 + 3 + 9 + 10 + 6 + 5 + 7 = 66

Of those, 26 play only football, hence the probability is:

p = 26/66 = 13/33

Which means that option c is correct for question 19.

Of those same 66 students, 9 + 7 = 16 play baseball but not football, hence the probability is:

p = 16/66 = 8/33

Which means that option d is correct for question 20.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Use the Divergence Theorem to evaluate the surface integral

Answers

Compute the divergence of [tex]\vec F[/tex].

[tex]\mathrm{div}(\vec F) = \dfrac{\partial(2x^3+y^3)}{\partial x} + \dfrac{\partial (y^3+z^3)}{\partial y} + \dfrac{\partial(3y^2z)}{\partial z} = 6x^2 + 3y^2 + 3y^2 = 6(x^2+y^2)[/tex]

By the divergence theorem, the integral of [tex]\vec F[/tex] across [tex]S[/tex] is equivalent to the integral of [tex]\mathrm{div}(\vec F)[/tex] over the interior of [tex]S[/tex], so that

[tex]\displaystyle \iint_S \vec F\cdot d\vec S = \iiint_{\mathrm{int}(S)} \mathrm{div}(\vec F)\,dV[/tex]

The paraboloid meets the [tex]x,y[/tex]-plane in a circle with radius 3, so we have

[tex]\mathrm{int}(S) = \left\{(x,y,z) \mid x^2+y^2\le3 \text{ and } 0 \le z \le 9-x^2-y^2\right\}[/tex]

and

[tex]\displaystyle \iiint_{\mathrm{int}(S)} \mathrm{div}(\vec F) \,dV = \int_{-3}^3 \int_{-\sqrt{9-x^2}}^{\sqrt{9-x^2}} \int_0^{9-x^2-y^2} 6(x^2+y^2)\,dz\,dy\,dx[/tex]

Convert to cylindrical coordinates, with

[tex]\begin{cases}x = r\cos(\theta) \\ y = r\sin(\theta) \\ z = \zeta \\ dV = dx\,dy\,dz = r\,dr\,d\theta\,d\zeta\end{cases}[/tex]

so that [tex]x^2+y^2=r^2[/tex], and the domain of integration is the set

[tex]\left\{(r,\theta,\zeta) \mid 0 \le r \le 3\text{ and } 0 \le \theta\le2\pi \text{ and } 0 \le \zeta \le 9-r^2\right\}[/tex]

Now compute the integral.

[tex]\displaystyle \int_0^3 \int_0^{2\pi} \int_0^{9-r^2} 6r^2\cdot r\,d\zeta\,d\theta\,dr = 12\pi \int_0^3 \int_0^{9-r^2} r^3\, d\zeta \, dr \\\\ ~~~~~~~~~~~~ = 12\pi \int_0^3 r^3 (9 - r^2) \, dr \\\\ ~~~~~~~~~~~~ = 12\pi \int_0^3 (9r^3 - r^5) \, dr \\\\ ~~~~~~~~~~~~ = 12\pi \left(\frac94 r^4 - \frac16 r^6\right)\bigg|_0^3 = 12\pi \left(\frac94\cdot3^4-\frac16\cdot3^6\right) = \boxed{729\pi}[/tex]

A TV has a listed price of $540.99 before tax. If the sales tax rate is 9.75% , find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

■ Sales tax: $52.75

■ Cost/Price before ST: $540.99

■ Total Cost/Price including ST: $593.74

Step-by-step explanation:

540.99 x 0.0975

= 52.75

Total

= 540.99+52.75

=593.74

Choose the equation that
matches the graph.
a. (1/2)x-4
b. y = 4x-1
C.
y = (1/1)
(¹²) ² − 4
-
d.
e.
x-4
y = (1/1)
y = 4x + 1
y = 4x+1

Answers

Answer: d

Step-by-step explanation:

The graph is increasing, so the base must be more than 1.

Eliminate a and c.

Also, the y-intercept is 2.

Eliminate b and e.

This leaves d.

Find the rational roots f(x) =3x3+ 2x2 + 3x + 6

Answers

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

How to determine the rational root of the function f(x)?

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

For a function P(x) such that

P(x) = ax^n +...... + b

The rational roots of the function p(x) are

Rational roots = ± Possible factors of b/Possible factors of a

In the function f(x), we have:

a = 3

b = 6

The factors of 3 and 6 are

a = 1 and 3

b = 1, 2, 3 and 6

So, we have:

Rational roots = ±(1, 2, 3, 6)/(1, 3)

Split the expression

Rational roots = ±(1, 2, 3, 6)/1 and ±(1, 2, 3, 6)/3

Evaluate the quotient

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3, 1, 2)

Remove the repetition

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3)

Hence, the rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

The complete parameters are:

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

Read more about rational roots at

https://brainly.com/question/17754398

#SPJ1

In a mathematics class, half of the students scored 87 on an achievement test.
With the exception of a few students who scored 52, the remaining students
scored 71. Which of the following
statements is true about the distribution of
scores?

Answers

Statistics exist in the analysis of collection, analysis, interpretation, and presentation of data or into discipline to collect and summarize the data.

Therefore, the correct answer is option A. The mean is less than the median.

What are statistics?

Statistics exist in the analysis of collection, analysis, interpretation, and presentation of data or into discipline to collect and summarize the data.

Half the students scored 87.

The next highest score exists at 71.

Then the median will be (71+ 87) / 2 = 79

A few students scored 52, so the mean exists a little lower than the mean of 71 and 87.

Therefore, the correct answer is option A. The mean is less than the median.

To learn more about statistics refer to:

brainly.com/question/10951564

#SPJ9

The complete question is:

In a mathematics class, half of the students scored 87 on an achievement test. With the exception of a few students who scored 52, the remaining students scored 71. Which of the following statements is true about the distribution of scores?

A. The mean is less than the median.

B. The mean and the median is the same.

C. The mean is greater than the mode.

D. The mean is greater than the median.

What is the probability that the mean score for 10 randomly selected people who took the LSAT would be above 157? Round your answer to three decimal places. (Example: 0.398)

Answers

Using the normal distribution, there is a 0.007 = 0.7% probability that the mean score for 10 randomly selected people who took the LSAT would be above 157.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Researching this problem on the internet, the parameters are given as follows:

[tex]\mu = 150, \sigma = 9, n = 10, s = \frac{9}{\sqrt{10}} = 2.85[/tex]

The probability is one subtracted by the p-value of Z when X = 157, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (157 - 150)/2.85

Z = 2.46

Z = 2.46 has a p-value of 0.993.

1 - 0.993 = 0.007.

0.007 = 0.7% probability that the mean score for 10 randomly selected people who took the LSAT would be above 157.

More can be learned about the normal distribution at https://brainly.com/question/15181104

#SPJ1

Other Questions
A system of equations is shown:4x = -3y + 173x - 4y = -6What is the solution to this system of equations? (5 points)(3,2)(-3,-2)(-2,-3)(2,3) Explanation to :an insurance agent is paid a salary of gh200 and a commission of 3% on all sales over gh2000 per month. if his total income in a particular month was gh530, what was the amount of his sales for that month Emphysema can lead to which acid/base disturbance? What would be the compensation? High unemployment, family background, recessions, and lack of educational opportunities are all ________ factors of why people may be in poverty. a. unchangeable b. situational c. temporary d. dispositional The percentage of workers who left an organization and were replaced during a time period is called employee ________ Describe laboratory tests, clinical procedures, and abbreviations related to endocrinology. Allison is saving money to buy a new phone that costs $600 by selling her graphic designs. She is using an app to manage her sales, but it keeps a fraction of each sale. Her net pay is modeled by the function P(x) = x2 + 18x 160, where x represents the number of sales. How many sales does Allison to make to earn $600? What is the ph of a solution which is 0. 025 m in weak base and 0. 039 m in the conjugate weak acid ( a = 7. 1 106)? The Mogul Runners ski club planned a trip to Park City. Of the total number of club members, 11 signed up to go. If this is 25% of the club, how many members does the ski club have? Light of a given wavelength is used to illuminate the surface of a metal, however, no photoelectrons are emitted. in order to cause electrons to be ejected from the surface of this metal you should:_________ Select the correct sentence to describe your brother and sister. Be careful with the adjective agreement. Ils sont gostes. Nuclear explosions require a specific amount of mass to trigger and self-sustain a nuclear chain reaction. That mass is called the Jacob is always cold in the winter. he feels like everyone but him is going somewhere warm for spring break. What mental process is jacob experiencing? The research department of Mark 2 Limited in a recent stakeholder meeting argued that socially responsible businesses win the trust and respect of their employees, customers, and society and, in the end, increase profitability. With the knowledge you have acquired in this course, discuss an organizations social responsibilities to its key stakeholders, the environment, and the community. EV(8Marks) help me with this question As mass increases, which of the following is always true? a. volume decreases b. density decreases c. inertia increases d. all of these Jessica and her friend found some money under the couch. they split the money evenly, each getting $16.32. how much money did they find? why was slavery brough to the British colonies? Based on what you have learned, what emotion best describes the tenor of europe after world war i? anxiety complacency joyfulness superiority Read this sentence from paragraph 9.Fewer Americans are watching the address via livetelevision, but it still influences American voters andpublic discourse.Which idea mentioned in Atel's article does thissentence support?.. that coverage of the State of the Union in realtime is important to the American peopleOB.OC.OD.that the State of the Union has changed frombeing an update on the status of the nationthat more of the American public is accessingthe State of the Union through newertechnologythat analysts record the numbers of words inthe State of the Union that are devoted toparticular issues