Find the volume of a cylinder with a diameter of 19km and height of 5 km. Label your answer

Answer:

Roy is 10 years old at present and Joan is 5 years old at present

Step-by-step explanation:

Let

x----> Roy's age

y----> Joan's age

we know that

x=2y ----> equation A

(x+3)+(y+3)=21 ----> equation B

substitute equation A in equation B

(2y+3)+(y+3)=21

solve for y

3y+6=21

3y=21-6

3y=15

y=5 years

Find the value of x

x=2y  ----> x=2(5)=10 years

therefore

Roy is 10 years old at present

Joan is 5 years old at present

Answer:

Roy is 10 and Joan is 5

Step-by-step explanation:

Answer:

the solution is (5, -6)

Step-by-step explanation:

Let the numbers be x and y.  Then x + y = -1 (meaning that either x or y is negative), and x - y = 11.

Solve the system:

x + y = -1

x - y = 11

-------------

2x    = 10, or x = 5.  If x = 5, then x - y = 11 becomes 5 - y = 11, or y = -6.

Then the solution is (5, -6).

Is the sum of 5 and -6 equal to -1?  YES.

If -6 is subtracted from +5, is the difference 11?  Yes.

Final answer:

The two numbers in the system of equations are 5 and -6. By adding the equations x + y = -1 and x - y = 11, we find x = 5, and substituting back, we find y = -6.

Explanation:

Let's define the two unknown numbers as x and y. According to the question, we have two equations. The first one, x + y = -1, tells us the sum of the two numbers is -1. The second one, x - y = 11, tells us the difference between the two numbers is 11.

To solve this system of linear equations, we can use the method of substitution or elimination. However, adding both equations is the simplest approach here:

Adding both equations, we get:

2x = 10

Now we can solve for x by dividing both sides by 2:

x = 5

Substituting the value of x into one of the original equations to find y:

5 + y = -1

Solving for y gives us:

y = -1 - 5

y = -6

So the two numbers are 5 and -6.

Final answer:

The absolute deviation of 15 in the data set {20, 20, 30, 15, 40} is the absolute value of (15 minus the mean 25), which is 10. So, the correct answer is B. 10.

Explanation:

To calculate the absolute deviation of a number in a data set, you subtract the number from the mean of the data set and take the absolute value of the result. The mean of the data set {20, 20, 30, 15, 40} is (20 + 20 + 30 + 15 + 40) / 5, which equals 125 / 5 or 25. The absolute deviation for the number 15 would be the absolute value of (15 - 25), which is the absolute value of -10 or simply 10. Therefore, the correct answer is B. 10.

In both cases,

[tex]AB^2=AD^2[/tex]

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

[tex](4x+7)^2=(6x-3)^2[/tex]

[tex]16x^2+56x+49=36x^2-36x+9[/tex]

[tex]20x^2-92x-40=0[/tex]

[tex]5x^2-23x-10=0[/tex]

[tex](5x+2)(x-5)=0\implies\boxed{x=5}[/tex]

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

[tex](4x^2-18x-10)^2=(x^2+x+4)^2[/tex]

[tex]16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16[/tex]

[tex]15x^4-146x^3+235x^2+352x+84=0[/tex]

[tex](x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}[/tex]

(again, omit the solutions that would give a negative length for either AB or AD)

The value of x for first figure is x = 5 and for second x = 7 and -2/3.

The property of tangent is that "if two tangents from the same exterior point are tangent to a circle, then they are congruent".

1. The value of x using the above tangent property.

BA = AD

4x + 7 = 6x -3

4x - 6x = -3 -7

-2x = -10

x = -10/-2

x = 5

2. The value of x using the above tangent property.

BA = AD

[tex]\rm 4x^2-18x-10=x^2+x+4\\\\4x^2-18x-10-x^2-x-4=0\\\\3x^2-19x-14=0\\\\x =\dfrac{-(-19)\pm\sqrt{(-19)^2-4\times 3\times -14} }{2\times 3}\\\\x =\dfrac{19\pm\sqrt{361+168} }{6}\\\\x =\dfrac{19\pm\sqrt{529} }{6}\\\\x =\dfrac{19+23 }{6}, \ x =\dfrac{19-\ 23}{6}\\\\x =\dfrac{42}{6} , \ x =\dfrac{-4}{6}\\\\x=7, \ x=\dfrac{-2}{3}[/tex]

Hence, the value of x for first figure is x = 5 and for second x = 7 and -2/3.

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Answer:

x=8

Step-by-step explanation:

To solve this, we must use the Pythagorean theorem.

a=15, b=x, and c=17

[tex](15)^2 +b^2=(17)^2\\\\b=\sqrt{17^2-15^2} \\\\b=\sqrt{289-225} \\\\b=\sqrt{64} \\\\b=8[/tex]

a^2+b^2=c^2

In this case, 15=a and 17=c and if you substitute the variables as the numbers, you would get the equation 15^2+b^2=17^2. If you simplify that you would get 225+b^2=289. You subtract 225 from both sides and you get left with b^2=64. The square root of 64 is 8 so I’m this problem x is 8.

ANSWER~ 8

Answer:

with?

Step-by-step explanation:

Answer:

C. Center (3,-2) and radius 3

Step-by-step explanation:

The given circle has equation:

[tex]x^2+y^2-6x+4y+4=0[/tex]

We rearrange to get:

[tex]x^2-6x+y^2+4y=-4[/tex]

We add the square of half the coefficients of the linear terms to both sides of the equation:

[tex]x^2-6x+(-3)^2+y^2+4y+(2)^2=-4+(-3)^2+(2)^2[/tex]

We factor the  perfect squares and simplify to get;

[tex](x-3)^2+(y+2)^2=9[/tex]

We can rewrite as;

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

Comparing this to  the standard equation of the circle;

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

We have (3,-2) and the center and r=3 as the radius.

Answer:

∠ABD = 20°

Step-by-step explanation:

Since BD is the angle bisector of ∠ABC then

∠ABD = ∠DBC ← substitute values

3x - 1 = 34 - 2x ( add 2x to both sides )

5x - 1 = 34 ( add 1 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Hence

∠ABD = 3x - 1 = (3 × 7) - 1 = 21 - 1 = 20°

Answer:

  2.  h(t)=0.6cos (πt/6) + 1.4

Step-by-step explanation:

The average water level is (2 +0.8)/2 = 1.4, so this is the offset that is added to the sine or cosine function. That eliminates choices 1 and 4.

The high tide occurs when t=0 (at 12 AM), so eliminating choice 3.

The function that models the height of the tide t hours after 12 AM is ...

  h(t)=0.6cos (πt/6) + 1.4

Final answer:

The height of the tide t hours after 12 a.m. at Orca Beach can be modeled by the function h(t)=0.6cos(πt/6)+1.4, which is choice 2 among the given options. This function correctly represents the amplitude and timing of the high and low tides with the period of 12 hours between each high tide.

Explanation:

The question is asking to find a function that models the height of the tide at Orca Beach t hours after 12 a.m. Given that the high tide of 2 meters occurs at 12 a.m. and 12 p.m., and the low tide of 0.8 meter occurs at 6 a.m. and 6 p.m., we're looking for a trigonometric function with a period that corresponds to the tidal cycle of 12 hours. The amplitude of the tide would be half the difference between the high and low tides, and the vertical shift would position the midline of the oscillation at the average of the high and low tides.

First, we calculate the amplitude (A) as half the difference between the high and low tide heights:

A = (2 - 0.8) / 2 = 0.6 meters

Next, we calculate the vertical shift (D) as the average of the high and low tide heights:

D = (2 + 0.8) / 2 = 1.4 meters

Now, knowing that the period (T) of the tide is 12 hours, we can use the cosine function, as it starts at the maximum value at t=0, corresponding to the high tide at 12 a.m. The function representing the tide's height h(t) can be modeled as:

h(t)=Acos(Bt)+D

Where B is the frequency, calculated as B = 2π / T.

Since the tide has a 12-hour period, we plug T = 12 into B:

B = 2π / 12 = π / 6

So the function that models the height of the tide t hours after 12 a.m. with the correct amplitude, frequency, and vertical shift is:

h(t)=0.6cos(πt/6)+1.4

Therefore, the correct choice from the options provided is:

Choice 2: h(t)=0.6cos (πt/6) + 1.4

Answer:

Its 9 1/16

Step-by-step explanation:

I guessed and got it right. I just knew it wasn't 9 and the two 16 answers didn't make sense, lol. In the future I think just go with the one closest (but not exact) to the shown thingy, not sure tho?

Update:

Im silly. Solve it like this:

AE*EB=CEtimesED

so 9 which is 4.5*2 would be 4.5*4.5

thats 20.25

20.25/4(the radius)

is 5.06.

That plus 4 is the diameter, lol.

so it rounds to 9 1/16

Answer:

The area of the circular cross section of the pipe is [tex]100\pi\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the circle (cross section of the pipe) is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=20/2=10\ cm[/tex] ----> the radius is half the diameter

substitute

[tex]A=\pi (10)^{2}[/tex]

[tex]A=100\pi\ cm^{2}[/tex]

Answer:

It can be A. (not B or C)

Step-by-step explanation:

It is A because x-6=0 can be simplified to x=6. Then, 2x + 6, you can divide the whole equation resulting in x+3=0, simplify this and you get x=-3. YES

It is not B because, while x+3=0 results in a zero of -3, 6x-1 can be simplified to be divided by 6. When we do this we get x-1/6=0, which is not equivalent to 6. NO

It is not C because, while x-6=0 results in a zero of 6, -3x can be simplified with the zero product property to get -3x=0 then dividing -3 by 0 giving you 0 which is not equivalent to one. NO

Answers:0m/s

Step-by-step explanation: once she has completed one lap, displacement is 0, therefore her velocity is 0m/s

The average velocity of her is zero.

Average velocity is defined as the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs.

Given

A runner runs around a track consisting of two parallel lines 96 m long connected at the ends by two semicircles with a radius of 49 m.

She completes one lap in 100 seconds.

The formula is used to find average velocity is;

[tex]\rm Average \ velocity=\dfrac{Change \ in \ displacement }{Change \ in \ time \ interval}[/tex]

Here, the runner displacement is zero.

Therefore,

[tex]\rm Average \ velocity=\dfrac{Change \ in \ displacement }{Change \ in \ time \ interval}\\\\\rm Average \ velocity=\dfrac{0 }{100}\\\\\rm Average \ velocity=0[/tex]

Hence, the average velocity of her is zero.

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Answer:

Step-by-step explanation:

The study doesn't prove any causation.  The only conclusion is that people with lower cholesterol levels are more likely to eat blueberries.

Answer:

There may be a correlation between eating blueberries and a lower cholesterol level.

Step-by-step explanation:

An organization of berry farmers releases a study reporting that people who eat blueberries every day have a lower cholesterol level.

The statement that describes the best conclusion to draw from the study is :

I would say that the study reveals that there may be a correlation between eating blueberries and a lower cholesterol level.

Answer:

The answer would be c

Step-by-step explanation:

The accurate statement about the value of acceleration is 3 meters per second squared.

Given data:

Acceleration is a fundamental concept in physics that describes the rate at which an object's velocity changes over time. It is a vector quantity, meaning it has both magnitude and direction.

It can be expressed as:

a = Δv / Δt

where Δv represents the change in velocity and Δt represents the change in time.

So, the denominator of the acceleration expression has the square of time.

Hence, the statement 3 meters per second squared determines the acceleration.

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The complete question is attached below:

Which of the following is an accurate statement of an acceleration value, translated from symbols into words?

A) 3 meters per second

B) 3 meters per second squared

C) 3 square meters per second

D) 3 meters in 3 seconds

Answer is C. This is because in quadrant 2, [tex]\sin\theta>0[/tex] so [tex]\csc\theta>0[/tex] is also true.

Answer with explanation:

Let , Theta =A

[tex]\tan A=\frac{-12}{5}\\\\ \csc A=\frac{-13}{12}[/tex]

In First Quadrant all Trigonometric Function are Positive.

→In Quadrant,II , Sine and Cosecant , Function are Positive only.

→Cosecant theta is negative.So, Terminal point can't be in Second Quadrant.

Option C:

there are 30 marbles in the jar originally

Answer:

452.16 ft²

Step-by-step explanation:

The surface area is the area of the cylindrical wall plus the area of the circular floor.

A = 2πrh + πr²

h = 5.  The radius is half the diameter, so r = 8.

A = 2π(8)(5) + π(8)²

A = 144π

A ≈ 452.16 ft²

Answer:

A ≈ 452.16 ft mark me brainy plz!

Step-by-step explanation:

The surface area is the area of the cylindrical wall plus the area of the circular floor.

A = 2πrh + πr²

h = 5.  The radius is half the diameter, so r = 8.

A = 2π(8)(5) + π(8)²

A = 144π

A ≈ 452.16 ft²

Answer:

1) 1/2

Step-by-step explanation:

Answer:

With Veronica's hair

Median: 13

Mean: 17.9

Mode: 13,5

Without

Mean :13.8

median: 13

mode: 13,5

Step-by-step explanation:

Answer:

1.875

Step-by-step explanation:

1+ 0.5 = 1.5

1.5+0.25 = 1.75

1.75+0.125 = 1.875

Answer:

1.875

Step-by-step explanation:

Answer:

6188 different combinations of people

Step-by-step explanation:

This is a combination problem since it does not matter the order of people that answer the phones.  The combination looks like this:

₁₇C₅ = [tex]\frac{17!}{5!(17-5)!}[/tex]

This expands to

[tex]\frac{17*16*15*14*13*12!}{5*4*3*2*1(12!)}[/tex]

The 12! cancels out in the top and bottom so the remaining multiplication leaves you with

₁₇C₅ = [tex]\frac{742560}{120}[/tex]

which divides to 6188

The number of groups of 5 people that can be selected from a total of 17 to answer 5 different phone lines is 6188. This is a combinatorics problem calculated using the combinations formula.

The question is asking us to determine how many groups of 5 people out of 17 people can answer the 5 different phone lines in an office. This problem is a combination problem in mathematics, particularly in combinatorics. Combinations refer to the selection of items without regard for the order in which they are arranged.

Here, we are selecting groups of 5 people out of 17 to answer the phone lines. The formula for combinations is C(n, r) = n! / r!(n-r)!, where n is the total number of items, r is the items to be selected, and '!' denotes the factorial.

Substituting our values into the formula, we get C(17, 5) = 17! / 5!(17-5)!. When we calculate this, the answer we obtain is 6188. Therefore, there are 6188 ways to form groups of 5 out of 17 people to answer the phone lines.

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If im not wrong, i believe the answer is C.

Answer:

  B)  6.9 cm

Step-by-step explanation:

The remaining angle is the smallest, 180° -48° -97° = 35°. The shortest side is opposite this angle. The Law of Sines tells you its length is ...

  short side = (longest side)·(sin(smallest angle)/sin(largest angle))

  = (12 cm)sin(35°)/sin(97°) ≈ 6.9 cm

The shortest side is about 6.9 cm.

ANSWER

Yes, k=-3 and y=-3x

EXPLANATION

Let's assume y varies directly as x.

Then, we can write the equation:

y=kx

From the table, when x=1, y=3

Substitute these values to obtain;

3=-k

This implies

k=-3

The equation now becomes:

y=-3x

We check for a second point to see if it satisfy the equation.

When x=5,y=-15

-15=-3(5)

-15=-15

Hence the relation represent a direct variation.

To find the answer, we should multiply 132 by 6.

132*6=792

792+1=793

Tammy’s answer is correct.

Answer: multiply all of them by two and then put the fx2 behind the equal signs in punuations =(fx2)

Step-by-step explanation:

Answer:

16 ft²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 8 and h = 4, thus

A = 0.5 × 8 × 4 = 16 ft²

Answer:

Step-by-step explanation:

2) Boyle's law says volume varies inversely with pressure:

V = k / P

3) V = 4 when P = 3:

4 = k / 3

k = 12

4) [tex]\left[\begin{array}{cc}P&V\\1&12\\2&6\\3&4\end{array}\right][/tex]

5) Since P = d/33 + 1:

V = 12 / (d/33 + 1)

6) [tex]\left[\begin{array}{cc}d&V\\0&12\\33&6\\66&4\\99&3\end{array}\right][/tex]

Answer:

a = 6

x^2 + 6x is equal to x(x+6)

b=2

Denominator and numerator of the first term are multiplied by x. 

c=6

Second term is multiplied by (x-6)/(x-6)

d=2

Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term

e=6

In the same way as d is carried over from b, e is carried over from c. 

f = 6

2x - x + 6 = x + 6

g = 1 

We factor out the (x+6) from the numerator and denominator.

Answer:

a= 6

b= 2

c= 6

d= 2

e= 6

f= 6

g= 1

Step-by-step explanation:

i like math

For water 1 gram = 1 ml.

This means 45 grams are equal to 45 ml's.

Neither one is greater than the other one as they are equal.

The problem doesn't state what is being measured, so the answer could be different depending on the density of the product being measured.