find the radius of a cylinder with a volume of 108ft and height of 12 ft

Answer:

168.75, about 169 times

Step-by-step explanation:

1 yd= 36 in

300 yd= 10800 in

10800 in/ 64 in=168.75

Answer:

169

Step-by-step explanation:

We are given that

Circumference of Kiran's bike wheel=64 in

Kiran rides total distance=300 yards

We have to find number of rotations made by wheel.

We know that

1 yard=36 in

300 yards=[tex]36\times 300=10800 in[/tex]

Number of rotation=[tex]\frac{Total\;distance\;covered\;by\; wheel}{Circumference\;of\;wheel}[/tex]

Number of rotations=[tex]\frac{10800}{64}=168.75\approx 169[/tex]

Hence, the wheel rotate=169 times

So first do the diagram (vent) and but two and two donuts until a odd number pops I think the answer is 5.

Answer:

T T → T

Step-by-step explanation:

A conditional statement, signified by t f which means true and false, is an if-then statement with t being a hypothesis and f being an inference. The statement that illustrates the truth value is T T → T because 3 + 2 = 5 which is true and 5 + 5 = 10 which is also true.

The answer is:

The first measurement of volume is equal to 835.23 mL.

Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.

So, we Boyle's Law equation states that:

[tex]P_{1}V_{1}=P_{2}V_{2}[/tex]

Where,

[tex]P_1=FirstPressure\\V_1=FirstVolume\\P_2=NewPressure\\V_2=NewVolume[/tex]

Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:

[tex]P_{1}V_{1}=P_{2}V_{2}\\\\V_{1}=\frac{P_{2}V_{2}}{P_{1}}[/tex]

So, substituting the given information and calculating, we have:

[tex]V_{1}=\frac{8.59atm*527mL}{5.42atm}[/tex]

[tex]V_{1}=\frac{4526.93atm.mL}{5.42atm}=835.23mL[/tex]

Hence, the first measurement of volume is equal 835.23 mL.

Have a nice day!

Check the picture below.

Answer:

[tex]10.5\ gal[/tex]

Step-by-step explanation:

we know that

[tex]1,000\ cm^{3} =1\ l[/tex]

[tex]1\ l=1.75\ pints[/tex]

[tex]1\ gal=8\ pints[/tex]

we have

[tex]48,000\ cm^{3}[/tex]

step 1

Convert to liters

[tex]48,000\ cm^{3}=48,000/1,000=48\ l[/tex]

step 2

Convert to pints

[tex]48\ l=48*1.75=84\ pints[/tex]

step 3

Convert to gallons

[tex]84\ pints=84/8=10.5\ gal[/tex]

The approximate number of gallons that are equal to 48000cm3 is 12.67 gallons.

1 liter is approximately 1.75 pints, 1 gallon = 8 pints

To convert 48000 cm³ to gallons, first recognize that 1 liter is 1000 cm³.

Therefore, 48000 cm³ is 48 liters.

Next, knowing that 1 gallon is approximately 3.79 liters, divide 48 by 3.79 to get approximately 12.67 gallons.

Answer:

< BCA = 70

Step-by-step explanation:

The complete central angle of a circle is 360 degrees. The given portion is 250 degrees.

What is left over? BOA = 360 - 250 = 110

Tangents always meet the radius at 90 degrees. Since there are two tangents <CAO = <BAO = 90 degrees.

So piecing it all together, the equation becomes

<BAO + CAO + BAO + ACB = 360

110 + 90 + 90 + <ACB = 360

290 + <ACB = 360

<ACB + 290 - 290 = 360 - 290

ACB = 70 degrees

Answer:

D.

Step-by-step explanation:

A linear function is one that has a constant rate of change.

On table D, we can see that it has a constant rate of +2 as every time x increases by 1, y increases by 2.

Answer:

D

Explanation:

Because linear function is having the same difference or in another way it’s having the same rate of change.

Good luck,!~s

Answer:

-0.4

Step-by-step explanation:

z score is:

z = (x - μ) / σ

For x = 28.2, μ = 30, and σ = 4.5:

z = (28.2 - 30) / 4.5

z = -0.4

Answer: -0.4

Step-by-step explanation:

Given: Mean : [tex]\mu=30\text{ inches}[/tex]

Standard deviation : [tex]\sigma=4.5\text{ inches}[/tex]

The formula to calculate z-score is given by :-

[tex]z=\dfrac{X-\mu}{\sigma}[/tex]

For X = 28.2 inches, we have

[tex]z=\dfrac{28.2-30}{4.5}\\\\\Rigahtarrow\ z=-0.4[/tex]

Hence, the z-score of a trout with a length of 28.2 inches.= -0.4

Answer: The answer to your question would be the third graph to your left

Step-by-step explanation: because when you calculate the rate of change from these points:

(50,1)

(100,2)

(150,3)

(200,4)

The rate of change would be 50 miles/ km per hour

Finding the slope formula: [tex]m= y2-y1/ x2-x1[/tex]

And when you take any two points from the graph, for example: (50,1) and (200,4), it would look like this:

[tex]\frac{200-150}{4-1}= 50/1= 50 miles/km per hour[/tex]

The correct graph is 3rd.

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Considering the 3rd graph, the coordinates are :-

(50,1)

(100,2)

(150,3)

(200,4)

Finding the slope = (y₂-y₁) / (x₂-x₁)

considering the points (50,1) and (200,4), slope =

slope = 4-1 / 200-50 = 1/50

Since the slope shows the rate, and the rate of change would be 50 miles/ km per hour

Hence, the correct graph is 3rd one.

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Answer:

80

Step-by-step explanation:

A = Area of First Rectangle

B = Area of Second Rectangle

w = Width

12(w)=320+B (1st Equation)

8(w) = B (2nd Equation)

w=B/8 (Plug this value of w into the first equation)

12B/8 = 320 +B (you get this)

12B= 2560 + 8B (Simplify)

4B = 2560

B =640 plug this value into the 2nd equation

8(w) = 640

w = 80

To Test This

12x80 = 960

8x80 = 640

Answer: you have the correct answer hope this helped please mark me the brainlest answer have a good day mate

ANSWER

[tex]y = 2 \: \sin(x) [/tex]

EXPLANATION

A basic sine curve has equation in the form:

[tex]y = a \: \sin(x) [/tex]

Where 'a' is the amplitude.

In this case a=2 because the amplitude is 2.

[tex]y = 2 \: \sin(x) [/tex]

For a transformed sine function, the general equation is:

[tex]y = a \: \sin(bx + c) + d[/tex]

where a=2 is still the amplitude

[tex]y = 2 \: \sin(3x + \pi) [/tex]

This is also a sine function with an amplitude of 2.

Others include:

[tex]y = 2 \: \sin(x + 1) [/tex]

[tex]y = 2 \: \sin(4x - \pi) [/tex]

e.t.c

Answer:

  m∠LPM = 60°

Step-by-step explanation:

The measure of the angle facing the marked arcs is the average of the measures of the arcs:

  m∠LPM = (1/2)(40° +80°) = 60°

Part A

The scatterplot is shown the attachment.

Part B

Using a linear regression equation that models Patrick's referrals has a positive slope.

This means that, there is a positive relation between time(number of days),x and  the number of personal recommendations, y.

In other words, as the number of days increases, the number of personal recommendations also increases.

Question 2.

The given functions are:

[tex]y=x^2+3x-5[/tex]

[tex]y=4x+1[/tex]

To find the point where the graphs of these functions intersect,we solve the two equations simultaneously.

We equate the two equations to get:

[tex]x^2+3x-5=4x+1[/tex]

[tex]x^2+3x-4x-5-1=0[/tex]

[tex]x^2-x-6=0[/tex]

Factor to obtain:

[tex](x-3)(x+2)=0[/tex]

x=3 and x=-2

We put x=-2, into [tex]y=4x+1[/tex] to get;

[tex]y=4(-2)+1=-7[/tex]

when x=3 [tex]y=4(3)+1=13[/tex]

Therefore the graphs intersect at (-2,-7) and(3,13).

Yes, solution is correct.

Answer:

69 feet

Step-by-step explanation:

we have

[tex]h(t)=-16t^{2}+64t+5[/tex]

where

h(t) is the height of the ball

t is the time in seconds

we know that the given equation is a vertical parabola open downward

The vertex is the maximum

so

the y-coordinate of the vertex represent the maximum height of the ball

Convert the quadratic equation into vertex form

The equation in vertex form is equal to

[tex]y=(x-h)^{2}+k[/tex]

where

(h,k) is the vertex of the parabola

[tex]h(t)=-16t^{2}+64t+5[/tex]

[tex]h(t)-5=-16t^{2}+64t[/tex]

[tex]h(t)-5=-16(t^{2}-4t)[/tex]

[tex]h(t)-5-64=-16(t^{2}-4t+4)[/tex]

[tex]h(t)-69=-16(t^{2}-4t+4)[/tex]

[tex]h(t)-69=-16(t-2)^{2}[/tex]

[tex]h(t)=-16(t-2)^{2}+69[/tex]

the vertex is the point (2,69)

therefore

The maximum height is 69 ft

Answer:

4

Step-by-step explanation:

Here let the  number of ride tickets be r, and the number of food tickets be f.

Hence

[tex]r+f\ge16\\4r+2f\le40[/tex]

We first plot the two inequalities on graph as shown in attachment. From the graph we see that the two in-equation meet at (4,12)

Hence we can see that the maximum value of r is 4

Answer:

4

Step-by-step explanation: the maximum number of ride tickets she can buy is 4. so option a is correct

the answer is "Systematic Random Sampling"

Answer:

The side length is multiplied by the scale factor of 3, which makes it 49.5

Step-by-step explanation:

The scale factor goes as follows

length : scale factor

area: scale factor  squared

Volume : scale factor cubed

Since we increased the area by 9, that would be the scale factor squared

Take the square root of 9, which is 3, and that is the scale factor

We want to know what happens to the length

It is multiplied by the scale factor

16.5*3 = 49.5

Answer:

Part A). 20 hours 42 minutes taken by earth to rotate 310°.

Part B). 19 hours 6 minutes taken by earth to rotate 5 radians.

Part C). 2072.4 miles a point on the equator rotate in 2 hours.

Step-by-step explanation:

Given : Earth rotate 360° in 24 hours.

Part A).

Time taken by earth to rotate 360° = 24 hours.

Time taken by earth to rotate 1° = [tex]\frac{24}{360}[/tex] hours.

Time taken by earth to rotate 310° = [tex]\frac{24}{360}\times310[/tex] hours.

                                                   = 20.7 hours = 20 hours 42 minutes (approx.)

Part B).

Time taken by earth to rotate 360° = 24 hours.

We know that 360° = 2π radian

Time taken by earth to rotate 2π radian = 24 hours.

Time taken by earth to rotate 1 radian = [tex]\frac{24}{2\pi}[/tex] hours.

Time taken by earth to rotate 5 = [tex]\frac{24}{2\pi}\times5[/tex] hours.

                                                  = 19.098 hours = 19 hours 6 minutes (approx.)

Part C).

Diameter of Earth = 7920 miles

Radius of Earth, r  = 7920/2 = 3960 miles.

Degree of rotation in 24 hour = 360°

Degree of rotation in 2 hour, [tex]\theta\:=\frac{360}{24}\times2=30^{\circ}[/tex]

Now use Formula used to calculate Length of the arc of the circle.

Length of the Arc = [tex]\frac{\theta}{360}\times2\pi r[/tex]

Length a point on equator moves in 2 hour =  [tex]\frac{\theta}{360}\times2\pi r=\frac{30}{360}\times2\times3.14\times3960=2072.4\:miles[/tex]

Answer:

a couple of irrational numbers: -16±4√19, approximately {1.436, -33.436}

Step-by-step explanation:

Your question can be cast as the quadratic equation

  x² +32x -48 = 0

The solutions can be found using the quadratic formula:

  x = (-32 ±√(32² -4(1)(-48)))/(2(1)) = -16±√304 = -16±4√19

_____

Comment on the equation we used

We notice that when p and q are roots, the equation can be written ...

  (x -p)(x -q) = 0 = x² -(p+q)x +pq

You want p+q = -32, pq = -48, so the equation is ...

  x² -(-32)x +(-48) = 0

  x² +32x -48 = 0 . . . . . . with parentheses eliminated

Answer:

(√5)/2

Step-by-step explanation:

In the attached figure, we have labeled the circumcenter point D and the incenter point E. The points of tangency of the incircle with sides AB, BC and CA are labeled G, H, and F, respectively.

The distances from any vertex to the two points of tangency from that vertex are the same. So, AG = FA, BG = BH, and CF = CH. If we call the radius of the incircle "r", then we have ...

AG = FA = r, BG = BH = 3-r, CF = CH = 4-r

so the side length BC is ...

BC = BH +CH = (3-r) +(4-r) = 7-2r

We already know that side length BC is 5, so ...

5 = 7 -2r

r = (7 -5)/2 = 1

Of course, the circumcenter of a right triangle is the midpoint of the hypotenuse, so the circumradius "R" is 5/2 = 2.5.

The formula for the distance between the two centers is ...

d = √(R(R -2r)) = √(2.5(2.5 -2)) = √1.25 = (√5)/2

_____

Comment on this answer

We have used a formula for the center-to-center distance found using a web search. The attached diagram shows the coordinates of the two centers, so the distance can be found from those. It is the same.

First convert yards to feet.

1 yard = 3 feet.

100 x 3 = 300 feet long.

53 x 3 = 159 + 1 = 160 feet wide.

Now use the Pythagorean theorem to find the diagonal.

x^2 = 300^3 + 160^2

x^2 = 90000 + 25600

x^2 = 115600

x = √115600

x = 340 feet

Answer:

A

Step-by-step explanation:

Final answer:

In step 3 of Kai's calculations, he applied the difference law for logarithms.

Explanation:

In step 1, Kai applied the difference law for logarithms by subtracting the logarithms of 3 and 5 from the logarithm of 27.

In step 3, Kai further simplified by using the property that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. In this case, he applied this property to rewrite 3^3 as (3^2).

Therefore, the correct answer is Step 3.

Answer:

The answer is 10

Step-by-step explanation:

The value of f(5) will be 10 for the given sequence.

A grouping of two or more items in a logical sequence. the sequential arrangement of two or more items. The sequence is a term used to describe chronological order. You should be familiar with the following four primary categories of sequences: arithmetic sequences, geometric sequences, quadratic sequences, and special sequences. a collection of two or more elements arranged logically. the placement of two or more elements in a particular order. The word "sequence" refers to chronological order. Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four main types of sequences that you should be aware of.

Given, A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18.

for n = 1

f(2) = f(1) - 2 = 18 -2 = 16

for n = 2

f(3) = f(2) - 2 = 16 - 2 = 14

for n = 3

f(4) = f(3) - 2 = 14- 2 = 12

for n = 4

f(5) = f(4) - 2 = 12-2 = 10

Therefore, For the above sequence, f(5) will have the value of 10.

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B. 3x+2 is the correct answer

Answer:  The correct option is

(B) [tex]y=3x+2.[/tex]

Step-by-step explanation:  We are given to estimate the line of best fit using the following two points on the line.

(10, 32)  and  (20, 62).

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

So, the slope of the given line will be

[tex]m=\dfrac{62-32}{20-0}=\dfrac{30}{10}=3.[/tex]

Since the line passes through the point (10, 32), so its equation is given by

[tex]y-32=m(x-10)\\\\\Rightarrow y-32=3(x-10)\\\\\Rightarrow y=3x+30+32\\\\\Rightarrow y=3x+2.[/tex]

Thus, the required equation of the line of best fit is [tex]y=3x+2.[/tex]

Option (B) is CORRECT.

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=2,143.57 \end{cases}\implies 2143.57=\cfrac{4\pi r^3}{3}\implies 6430.71=4\pi r^3 \\\\\\ \cfrac{6430.71}{4\pi }=r^3\implies \stackrel{\pi =3.14}{\cfrac{6430.71}{4(3.14) }}=r^3\implies 511.9992\approx r^3 \\\\\\ \sqrt[3]{511.9992}\approx r\implies 7.999996\approx r\implies \stackrel{\textit{rounded up}}{8=r}[/tex]

Answer:

Step-by-step explanation:

The directions tell you what to do and give an example. That work is to be repeated 15 more times. The work is tedious, at best. I found it slightly less tedious to enter the 64 numbers into a spreadsheet and let it do the sums. See the attached for the result.

At the bottom of the array are the sums of columns. At the right are the sums of rows. The upper right and lower left numbers are the sums of the corresponding diagonals.

The "pattern" is that the sums are all -6, which is what you expect from a magic square.

Answer:

C) the difference identity for the cosine function

Step-by-step explanation:

The last line showing shows the cosine of the difference of two angles. The difference identity for the cosine function would seem to be indicated.

Answer:

The correct answer option is B. Number of Days 120 240 360 480 600 Number of Stories 5 10 15 20 25.

Step-by-step explanation:

We are given some tables showing the number of stories completed in the construction of four different high-rise buildings and the number of days spent working on the building.

We are to determine whether which table represents a linear relationship.

Table B represents a linear relationship since its ratio of number of days to number of stories completed is constant.

Number of Days    120  240  360  480  600  

Number of Stories   5      10     15    20     25

Ratio                        24    24    24    24     24