Solve for r (PLEASE HELP DUE TODAY)

3468 = π (r²) (7.7)

Answers

Answer 1

Answer:

Exact Form:

r=√143.36346562,    −√143.36346562

Decimal Form:

r

=

11.97344835

,

11.97344835

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.


Related Questions

The bars in a _____________ do not touch since data is ______________.
A. bar graph ; continuous
B. bar graph ; discrete
C. histogram ; continuous
D. histogram ; discrete

Answers

Answer:

b

Step-by-step explanation:

Bat Graphs represent discrete data. They are spaced and don't touch to represent a discrete value.

Histograms represent continuous data. They are close and connected to represent variation in continuous data.

PLEASE HELP!!!!
Question 8(Multiple Choice Worth 5 points)
(05.02 MC)


Based on the figure below, what is the value of x?

A right angle is shown divided in two parts. The measure of the angle of one part is 20 degrees and the measure of the other part is 5x plus 15 degrees.

A) 1

B) 9

C) 11

D) 15

Answers

The value of x from the given figure is 11

Complementary angles

The sum of two complementary angles is 90 degrees.

The angles shown in the diagram are complementary such that;

20 + 5x + 15 = 90

5x + 35 = 90

5x = 90- 35

5x = 55

x = 55/5

x = 11

Hence the value of x from the given figure is 11

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How to use the distributive property to multiply two variables together

Answers

Distributive property states that A × (B + C) = AB + AC. are always equal.

According to the statement

we have to explain the distributive property over multiplication.

Distributive property is the multiplication property.

According to this property, it generalizes the Distributive Law and it tells us that the an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.

It means that From distributive property

A × (B + C) = AB + AC.

These are always equal with each other.

Now we will explain with an example,

Let A = 2, B = 3 and C = 4

Then

2 × (3 + 4) = 2(3) + 2(4).

2 × (7) = 2(3) + 2(4).

14 = 6 + 8.

14 = 14.

It proves that the A × (B + C) = AB + AC.

So, Distributive property states that A × (B + C) = AB + AC. are always equal.

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Find the circumference and the area of a circle with diameter equal to 8.6 inches. Use 3.14 for pie.

Answers

The circumference and area of the circle are 27. 0 inches and 58. 0 inches square respectively.

How to calculate the circumference

The formula for circumference of a circle is given as;

Circumference = 2 π r

We have diameter = 8. 6 inches

Radius = diameter/ 2

Radius = 8.6/2 = 4. 3 inches

Circumference = 2 × 3. 14 × 4. 3 = 27. 0 Inches

The formula for area of a circle = π r ^2

Area = 3. 14 × 4. 3 × 4. 3

Area = 58. 0 Inches square

Thus, the circumference and area of the circle are 27. 0 inches and 58. 0 inches square respectively.

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What is the standard deviation of the data set? 6.5, 11.2, 13, 6.3, 7, 8.8, 7.4

Answers

Using it's concept, the standard deviation of the data-set is of 2.39.

What are the mean and the standard deviation of a data-set?

The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.

The mean of the data-set in this problem is given by:

M = (6.5 + 11.2 + 13 + 6.3 + 7 + 8.8 + 7.4)/7 = 8.6.

Hence the standard deviation is:

[tex]S = \sqrt{\frac{(6.5-8.6)^2+(11.2-8.6)^2+(13-8.6)^2+(6.3-8.6)^2+(7-8.6)^2+(8.8-8.6)^2+(7.4-8.6)^2}{7}} = 2.39[/tex]

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Which table represents a quadratic function?

Answers

Answer:

  A  (see attached)

Step-by-step explanation:

There are a couple of things you can look for to see if a table represents a quadratic function:

do the values increase, then decrease, or vice versado the differences have a constant difference.

Observation

In the first of the given tables, the f(x) values start out decreasing, and end up increasing. This is a good indication the table represents a quadratic function.

In the remaining tables, the f(x) values are always increasing.

table 2: differences are always +2 (linear function)table 3: differences are always +4.5 (linear function)table 4: table values have a common ratio of 2 (exponential function)

Analysis

The f(x) values in table 1 have differences of ...

  -3, -1, 1, 3

These values have differences of ...

  2, 2, 2

The constant "second differences" mean that the function can be represented by a 2nd-degree polynomial, a quadratic. In fact, the equation for this table is ...

  f(x) = x² +2

What is the percent rate??
Kryton -85 is a radioisotope of krypton that has a half-life of about 10.75years. This isotope is produced by the nuclear fission of uranium and plutonium in nuclear weapons and in nuclear reactors, as well as cosmic rays. An important goal of the Limited Nuclear Test Ban Treaty of 1963 was to eliminate the release of such radioisotopes into the atmosphere. At present, the activity of Krypton -85 in the atmosphere is about 135 mCi.

Answers

Using an exponential function, it is found that the decay rate is of 6.24% a year.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

The half-life is of 10.75 years, hence A(10.75) = 0.5A(0) and this is used to find the decay rate r.

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]0.5A(0) = A(0)(1 - r)^{10.75}[/tex]

[tex](1 - r)^{10.75} = 0.5[/tex]

[tex]\sqrt[10.75]{(1 - r)^{10.75}} = \sqrt[10.75]{0.5}[/tex]

[tex]1 - r = (0.5)^{\frac{1}{10.75}}[/tex]

1 - r = 0.9376.

r = 1 - 0.9376.

r = 0.0624.

The decay rate is of 6.24% a year.

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Enter the degree of the polynomial below.
5,5 + 8,2 + 2x - 319 - 8x1 -4,5

Answers

Based on the given polynomial, the degree of the polynomial can be calculated to be 1.

what is the degree of the polynomial?

the degree of the polynomial is defined as the highest exponential degree or power in a polynomial.

from the above, we see that the highest power is 1 from 8x¹.

the degree of the polynomial is therefore 1.

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Please explain the answer before, and also help with number line!

Answers

The solution to the given inequality is x < -6

For the number line, an open circle will be drawn on the value of -6 and the arrow pointing to the left side.

Number line and inequality

Given the inequality expression as shown

6x + 6 < -30

Subtract 6 from both sides

6x < -30 - 6

6x < -36

Divide through by 6

x < -36/6

x < -6

For the number line, an open circle will be drawn on the value of -6 and the arrow pointing to the left side.

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-x^2 +x+6=0 (Please solve by completing the square, and show steps)

Answers

The solution to the equation using the completing the square are 2 and -3

Quadratic equation

These are equation that has a leading degree of 2. Given the equation below

-x^2 +x+6=0


This can also be written as

x^2-x-6 = 0

Complete the square

x^2-x = 6

x^2-x+ (1/2)^2 = 6 + (1/2)^2

(x-1/2)^2 = 6 + 1/4

(x+1/2)^2 = 25/4

x+1/2 = ±√25/4

x = 5/2 -1/2  or -5/2-1/2

x = 4/2  or -6/2

x = 2 and -3

Hence the solution to the equation using the completing the square are 2 and -3

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The perimeter of a rectangle is 99 ft, and the length is twice the width. what are its dimensions?

Answers

The dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.

What are the dimensions of the rectangle?

Perimeter of rectangle is expressed as;

P = 2( l + w )

Given that;

Perimeter P = 99ftLet width w = xLength l = 2x

We substitute into the formular above.

P = 2( l + w )

99ft = 2( x + 2x )

99ft = 2x + 4x

99ft = 6x

x = 99ft/6

x = 16.5ft

Width = x = 16.5ft

Length = 2x = 2( 16.5ft ) = 33ft

Therefore, the dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.

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Sarah bought two t-shirts and one sweatshirt. The t-shirts cost $\$15.22$ each. If Sarah spent a total of $\$67.94,$ how many dollars did the sweatshirt cost

Answers

Answer: $37.50

Step-by-step explanation:

2(-2-4) = use the distributive property to expand the expression below.

Answers

Answer:

-12

Step-by-step explanation:

First, solve in parentheses.

2(-2-4)

=

2(-6)

Next, multiply 2 by -6.

Which equals -12.

So therefore using the distributive property shown above, the answer would be -12.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{What is the distributive formula?}[/tex]

[tex]\mathsf{a(b + c)}[/tex]

[tex]\mathsf{= a(b) + a(c)}[/tex]

[tex]\mathsf{= ab + ac}[/tex]

[tex]\huge\textbf{What is the equation?}[/tex]

[tex]\mathsf{2(-2 - 4)}[/tex]

[tex]\huge\textbf{What are we simplifying?}[/tex]

[tex]\mathsf{2(-2 - 4)}[/tex]

[tex]\mathsf{= 2(-2) + 2(-4)}[/tex]

[tex]\mathsf{= -4 - 8}[/tex]

[tex]\mathsf{= -12}[/tex]

[tex]\huge\textbf{How are you going to translate to}\\\\\huge\textbf{easier terms?}[/tex]

[tex]\mathsf{2(-2 - 4)}[/tex]

[tex]\mathsf{= 2(-6)}[/tex]

[tex]\mathsf{= -12}[/tex]

[tex]\huge\textbf{What is the ANSWER to the question?}[/tex]

[tex]\huge\boxed{\mathsf{-12}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

PLEASE HELP!!!!
This year, the Nature Club made 3 exhibits per month for its annual fair. This year's fair has twice as many exhibits as last year's. How many exhibits were there in last year's fair?

Answers

Answer: 18

Step-by-step explanation:

There are 12 months in a year. The club made 3 exhibits each month. 3 times 12 is 36. They made twice as many as last year, so divide 36 by 2 and you get 18.

I hope this helps!

The angle measurements in the diagram are represented by the following expressions.

Answers

Answer:

Angle A= 30

Step-by-step explanation:

Angle A and B are same side interior

So A + B = 180

x = 8

6(8)-18=30

Answer:23

Step-by-step explanation:

jaja

3x^2=7x solve the equation ​

Answers

Answer:

3x^2 - 7x =0

x(3x-7) = 0

3x - 7 = 0

3x =7

x= 7/3

PLEASE HELP 50 POINTS

Answers

Step-by-step explanation:

The initial velocity of a particle moving along x−axis is u (at t=0 and x=0) and its acceleration a is given by a=kx.

please help asap i am so confused

Answers

The table so fined below based on the information given about the function.

How to illustrate the information?

The table based on the function given will be:

Plan A. Plan B

Monday. 10. 30

Tuesday. 20. 40

Wednesday. 40. 50

Thursday. 80. 60

Friday. 160. 70

A is illustrated as it's double minutes for each day. B is illustrated by adding 10min each day.

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The distance from the Sun to Mercury is approximately 57910000 km.
Assuming Mercury has a circular** orbit around the Sun, find the distance Mercury travels in orbiting the Sun through an angle of 2.65 radians.

Answers

Mercury travels a distance of 153 461 500 kilometers on its orbit.

How much distance did Mercury travel on its orbit?

The statement indicates that Mercury has a circular orbit and indicates the central angle covered by translation. The distance traveled is found by definition of circular arc:

s = (2.65 rad) · (57 910 000 km)

s = 153 461 500 km

Please notice that the radius of translation is the distance from the Sun to Mercury.

Mercury travels a distance of 153 461 500 kilometers on its orbit.

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Compare the graphs of the functions listed below.

Function 1: y = 0.25x2

Function 2: y = 4x2

Function 3: y = -½x2

Function 4: y = -16x2

The graph of
✔ function 1
is the widest.
The graph of
is the narrowest.

Answers

Answer:

Function 1 is the widestFunction 4 is the narrowest

Step-by-step explanation:

The graph is widest when the coefficient of [tex]x^2[/tex] has the smallest absolute value.

The graph is narrowest when the coefficient of [tex]x^2[/tex] has the largest absolute value.

By comparing the graphs of the functions, function 1: y = 0.25x2 is the widest and function 4: y = -16x2 is the narrowest.

The graph is widest when the coefficient of [tex]x^{2}[/tex] has the smallest absolute value.

The graph is narrowest when the coefficient of [tex]x^{2}[/tex] has the largest absolute value.

The answer lies in the coefficient for the [tex]x^{2}[/tex] term. When the absolute value of the coefficient gets bigger, the graph gets narrower (positive and negative simply show the direction the parabola is pointing, with positive opening up and negative opening down).

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A group of friends wants to go to the amusement
park. They have no more than $420 to spend on
parking and admission. Parking is $8.75, and
tickets cost $25.75 per person, including tax.
Which inequality can be used to determine x, the
maximum number of people who can go to the
amusement park?

Answers

Answer:

The maximum amount of people that can go to the amusement park is 15.

Step-by-step explanation:

First you create an equation to represent the question

8.75+25.75x≤420

You put the less than or equal to sign because 420 is the maximum amount of money.

Now you just solve the equation.

25.75x≤420-8.75

25.75x≤411.25

x≤411.25/25.75

x≤15.9708738

Then you have to round down because you cant have .9 of a person.

So x≤15

Then, Check your solution

8.75+(25.75 x 15)≤420

8.75+386.25≤420

395≤420

That is true. But to make sure that is the maximum add another 25.75

395+25.75≤420

420.75≤420

This is equation is false so, our answer is correct.

The maximum amount of people that can go to the amusement park is 15.

HELP ME, IT'S AN EMERGENCY

Answers

Answer:

(A) 36°

Step-by-step explanation:

Find intercepted arc (RT):

360° - 288° = 72

*A circle is 360°*

Find angle RST:

An inscribed angle = 1/2 intercepted arc

angle RST = 1/2(72)

Angle RST = 36°

A company designs microphones for use in conference rooms. a new microphone needs to focus on the person speaking and not the voices of other people in the room. which polar equation would best match the desired audible range of the microphone?

Answers

r = 3 + 3cos(θ) polar equation would best match the desired audible range of the microphone.

How do you know if an equation is polar?Determine the kind of polar equation. The polar equation has the shape of a limaçon, and is written as r = a - b cos. We just need to assess the equation throughout the range [0, 1] and then reflect the graph about the polar axis because the equation passes the condition for symmetry to the polar axis.

What is a polar in math?The polar coordinate system in mathematics is a two-dimensional coordinate system in which the distance from a reference point and the angle from a reference direction are used to identify each point's location on a plane.

What is the meaning of polar form?In addition to the rectangular form, a complex number can also be represented in polar form. Typically, we write complex numbers as z = x + iy, where I is an imaginary integer. However, in polar form, complex numbers are modeled as a union of argument and modulus.

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Answer:

D

Step-by-step explanation:

142857/500000 simplified

Answers

Using your own examples, explain why all statements are sentences but not all sentences are statements. Clearly indicate which type of non-statement you have used in each case. (Your response should be between 500 and 600 words).

Answer:

0.285714 -> 0.29

Step-by-step explanation:

One can convert temperature from kelvin into fahrenheit using the formula . what is the temperature in kelvin corresponding to f degrees fahrenheit?

Answers

One can easily convert the temperature using temperature conversion formula given below

K = [tex]\frac{5(F - 32)}{9} + 273.15[/tex]

where F = degrees in Fahrenheit

K = degrees in Kelvin

What is temperature conversion? The measuring units of the temperature recorded in a particular unit can be converted with the aid of a temperature converter. The degree of heat or cold that a solid, liquid, or gas has is expressed by its temperature. A thermometer is used to determine temperature. Although the SI unit for temperature is Kelvin (K), most people measure temperature in Centigrade or Celsius (°C) and Fahrenheit (°F).

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Find the volume of the composite figure. Round to the nearest tenth if necessary.

Answers

The volume of the composite figure is of 425 m³.

What is the volume of a prism?

The volume of a prism is given by the base area multiplied by the height.

In this problem:

For the top figure, the base is a square with 5m, with height of 13m.For the bottom figure, the base is a square with 5m, with height of 4m.

Hence the volume in m³ is:

V = 5² x 13 + 5² x 4 = 25 x 17 = 425 m³.

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For 19-20, Decide whether the polygons are similar. If so, find the scale factor of Figure A to Figure B.

Answers

Answer: Not similar

Step-by-step explanation:

The polygons are not similar because the ratio of the corresponding sides is not equal (30/18 is not equal to 18/8)

Select the correct answer.
Consider these functions:
f(x) = 4x³ - 10
g(x) = 3x - 4/2
What is the value of g(f2))?

Answers

Answer:

3x - 4/2

Step-by-step explanation:

2 result(s) for "f(x) = 4x³ - 10 g(x)

Find the x​ - and y​ -intercepts of the graph of the linear equation 2 x plus 3 y is equal to 2x+3y=12

Answers

Answer:

x-intercept is 6 [(6, 0) is the point]

y-intercept is 4 [(0, 4) is the point]

Step-by-step explanation:

To find the x-intercept, we can set y equal to 0 and solve for x. This works because the x-intercept is the point of the graph where the line crosses the x-axis (meaning y is equal to 0 at this point. So, if we set y=0 and solve, we get this:

[tex]2x+3(0)=12\\2x=12\\x=6[/tex]

So, the x-intercept is 6; if it is written as a point, it is (6, 0) since y is 0

To find the y-intercept, we can set x equal to 0 and solve for y. This works the same way - x is equal to 0 at the point where the line crosses the y-axis. If we set x=0 and solve, we get this:

[tex]2(0)+3y=12\\3y=12\\y=4[/tex]

So, the y-intercept is 4; if it is written as a point, it is (0, 4) since x is 0

given points (8,6) and ( 8, 0) as the endpoints of a radius ,what is the equation of the circle with center ( 8,6)

Answers

Circle Equations

The general equation of a circle is written like [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is the centre and r is the radius.

Solving the Question

Firstly, we're given that the centre is (8,6).

Plug this into the general equation:

[tex](x-h)^2+(y-k)^2=r^2\\(x-8)^2+(y-6)^2=r^2[/tex]

We're given this other point on the circumference of the circle, (8,0), which is 6 units away from the center.

Therefore, the radius is 6 units. Plug this into the general equation too:

[tex](x-8)^2+(y-6)^2=r^2\\(x-8)^2+(y-6)^2=6^2\\(x-8)^2+(y-6)^2=36[/tex]

Answer

[tex](x-8)^2+(y-6)^2=36[/tex]

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Yet more influential than Union soldier's preexisting notions, or even their firsthand observations of the South, were their interactions with actual slaves, which led many to view slavery as a dehumanizing and evil institution that corroded the moral virtue necessary for a population to govern itself.Hostility to slavery did not necessarily mean support for racial equality. In fact, white Unionsoldiers strove mightily to keep the issues of slavery and black rights separate. [Still], contact with slaves and southern society convinced many Union troops that the immoral and blighting institution of slavery was antithetical to republican government, and that any republican government that tried to accommodate slavery was doomed to eventual failure. [C]lear demands for the destruction of slavery plainly emerged among enlisted Union soldiers, especially those stationed in the slave states who were witnessing slavery with their own eyes for the first time. Even some border state Union soldiers joined the clamor, either because they had witnessed for years the violence that slavery could engender or out of shock and anger that slaveholders in their home states valued the peculiar institution over the Union. Slaves themselves did the most to force emancipation onto the Union agenda,. [primarily] by winning over enlisted Union soldiers, who, in the first year of the war, became the first major group after black Americans and abolitionists to call for an end to slaverySource: Gary Gallagher, The Fight to Save the Union, 2011"The loyal American citizenry fought a war for the Union that also killed slavery. Unionalways remained the paramount goal, a fact clearly expressed by Abraham Lincoln inspeeches and other statements designed to garner the widest popular support for the wareffort... That hardpan of unionism held millions of Americans to the task of suppressing theslaveholders' rebellion, even as the human and material cost mushroomed.[The Union] represented a cherished legacy of the founding generation, a democratic republicwith a constitution that guaranteed political liberty and afforded individuals a chance tobetter themselves economically. From the perspective of loyal Americans, their republic stoodas the only hope for a democracy in [the] western world [following] the failed Europeanrevolutions of the 1840s. Slaveholding aristocrats who established the Confederacy poseda direct threat not only to the long-term success of the American republic but also to thebroader future of democracy. Issues related to the institution of slavery precipitated secession and the outbreak of fighting, but the loyal citizenry initially gave little thought to emancipation in their quest to save the Union. By the early summer of 1862, long before black men donned blue uniforms in large numbers, victorious Union armies stood poised to win the war with slavery largely intact. Eventually, most loyal citizens, though profoundly prejudiced by twenty-first century- standards and largely indifferent toward enslaved black people, embraced emancipation as a tool to punish slaveholders, weaken the Confederacy, and protect the Union from future internal strife."a. Briefly describe ONE major difference between Manning's and Gallagher' historicalinterpretations of the motivations of Union soldiers in the Civil War.b. Briefly explain how ONE historical event or development from the period 1861 to 1865 that is not explicitly mentioned in the excerpts could be used to support Manning's argument.C. Briefly explain how ONE historical event or development from the period 1861 to 1865 that is not explicitly mentioned in the excerpts could be used to support Gallagher's argument How do you plot y =- 2x on a graph?