(r/s)(3)=

It’s a two part question, I’m to lazy to answer

The height of water left in the can  is determined as 9.9 cm.

option B.

The height of water left in the can is calculated by the difference between the volume of a cylinder and volume of a cone.

The volume of the cylindrical can is calculated as;

V = πr²h

where;

V = π(4.6 cm)²(13.5 cm)

V = 897.43 cm³

The  volume of the cone is calculated as;

V = ¹/₃ πr²h

V = ¹/₃ π(5.1 cm)²( 8.7 cm )

V = 236.97 cm³

Difference in volume =  897.43 cm³ - 236.97 cm³

ΔV = 660.46 cm³

The height of water left in the can  is calculated as follows;

ΔV = πr²h

h = ΔV /  πr²

h = ( 660.46 ) / (π x 4.6²)

h = 9.9 cm

Learn  more about volume of cones here: https://brainly.com/question/13677400

#SPJ1

Answer:

$39.80

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

The volume generated by rotating the region bounded by y=14√x, y=0, and x=1 about x=-2 is approximately 188.5 cubic units.

To use the method of cylindrical shells, we need to consider a vertical strip of width dx at a distance x from the axis of rotation. When this strip is rotated about the axis, it generates a cylindrical shell with radius (x+2) and height y = 14√x.

The volume of this cylindrical shell can be expressed as:

dV = 2π(x+2)(14√x)dx

Integrating this expression from x=1 to x=4 (the limits of the region), we get:

V = ∫1^4 2π(x+2)(14√x)dx

= 28π ∫1^4 (x+2)√x dx

= 28π (∫1^4 x√x dx + ∫1^4 2√x dx)

= 28π [2/5 x^(5/2) + 4/3 x^(3/2)]_1^4

= 28π [(2/5 4^(5/2) + 4/3 4^(3/2)) - (2/5 1^(5/2) + 4/3 1^(3/2))]

= 28π [(32/5 + 16/3) - (2/5 + 4/3)]

= 28π (102/15)

= 188.4955592

Therefore, the volume generated by rotating the region bounded by y=14√x, y=0, and x=1 about x=-2 is approximately 188.5 cubic units.

Learn more about  volume from

https://brainly.com/question/27710307

#SPJ11

Answer:

The answer is 144

The value of x from the given equation is 144. Therefore, option C is the correct answer.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression is \((x^{\frac{1}{8} })(x^{\frac{3}{8} })\).

Using exponent formula aⁿ×aˣ=aⁿ⁺ˣ we get

\((x^{\frac{1}{8} })(x^{\frac{3}{8} })\) = \(x^{\frac{1}{8} +\frac{3}{8} }\)

= \(x^{\frac{4}{8}}\)

= \(x^{\frac{1}{2}}\)

The simplified expression is equal to 12.

So, \(x^{\frac{1}{2}}\)=12

Squaring on both side, we get

x=12²

x=144

Therefore, option C is the correct answer.

To learn more about an exponents visit:

https://brainly.com/question/15993626.

#SPJ7

Answer:

??????????????????????

Step-by-step explanation:

mmm+#-#+273(-2(2

Answer:

1,3

Step-by-step explanation:

Answer:

(4, 2.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \(\frac{x_{1}+x_{2} }{2}\), \(\frac{y_{1}+y_{2} }{2}\) )

Here (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (9, 5) , then

midpoint = ( \(\frac{-1+9}{2}\), \(\frac{2+5}{2}\) ) = ( \(\frac{8}{2}\), \(\frac{7}{2}\) ) = (4, 3.5 )

The experimental probability of landing on A is 0.3 and the experimental probability of landing on C is 0.4.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To find the experimental probability of landing on A or C, we need to add up the number of times the spinner landed on A and C, and then divide that by the total number of spins.

From the table, we can see that the spinner landed on A 30 times and on C 40 times. Therefore, the total number of times the spinner landed on either A or C is:

30 + 40 = 70

So the experimental probability of landing on A or C is:

70/100 = 0.7

However, we need to find the experimental probability of landing on A or C separately. To do that, we need to divide the number of times the spinner landed on A or C individually by the total number of spins:

Experimental probability of landing on A = 30/100 = 0.3

Experimental probability of landing on C = 40/100 = 0.4

Therefore, the experimental probability of landing on A is 0.3 and the experimental probability of landing on C is 0.4.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ1

The statement "If R₁ and R₂ are equivalence relations, then R₁ ∩ R₂ is an equivalence relation" is true. The intersection of two equivalence relations is also an equivalence relation.

To prove that the intersection of two equivalence relations is an equivalence relation, we need to demonstrate that it satisfies the three properties of reflexivity, symmetry, and transitivity.

Reflexivity: Since R₁ and R₂ are equivalence relations, they both satisfy reflexivity. Therefore, every element is related to itself in both R₁ and R₂. As a result, the intersection R₁ ∩ R₂ will also contain the pairs where elements are related to themselves, making it reflexive.

Symmetry: Similarly, since R₁ and R₂ are equivalence relations, they both satisfy symmetry. This means that if (a, b) is in R₁, then (b, a) is also in R₁. The same holds for R₂. Therefore, the intersection R₁ ∩ R₂ will also have the property of symmetry.

Transitivity: Again, as R₁ and R₂ are equivalence relations, they both satisfy transitivity. If (a, b) and (b, c) are in R₁, then (a, c) is also in R₁. The same holds for R₂. Hence, the intersection R₁ ∩ R₂ will also satisfy the transitivity property.

Since R₁ ∩ R₂ satisfies all three properties of an equivalence relation, we can conclude that if R₁ and R₂ are equivalence relations, then R₁ ∩ R₂ is indeed an equivalence relation.

Learn more about equivalence relation here:

https://brainly.com/question/30956755

#SPJ11

Answer:

x = 4

Step-by-step explanation:

Cancel common factor of 9,

(x/5)=(4/5)

Multiply both sides by 5,

(5x/5)=(20/5)

Simplify to get x = 4

Answer:

x= 2.5

Step-by-step explanation:

We can use ratios to solve

AB          AD

------- = ----------

AC          AE

X          5

------- = ----------

x+1         7

Using cross products

7x = 5(x+1)

Distribute

7x = 5x+5

subtract 5x

7x-5x = 5x-5x+5

2x= 5

Divide by 2

2x/2 = 5/2

x = 2.5

Answer:

She left the museum at 1:11pm

Step-by-step explanation:

Answer:

125 kilometres does 1 1/2 decimetres represent

Step-by-step explanation:

Given

3 cm = 25 KM  (Representative)

we have to find value of 1 1/2 decimetre

1 1/2 decimetre = (1*2+1)/2 decimetre = 3/2 decimetre

we know

1 decimetres = 10 cm

3/2 decimetres = 3/2 *10 cm = 15 cm

thus, we have to find 15 cm on the 3 cm = 25 KM map.

3 cm = 25 KM

1 cm = 25/3 KM

15 cm = 15*25/3 KM = 125 KM

Thus,

125 kilometres does 1 1/2 decimetres represent

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

The number of ways the foreign language club can choose 4 movies from the available is \(nC4 = n! / 4!(n-4)!\).

To calculate the number of ways the foreign language club can choose four movies from the available subtitled movies, we need to use the combination formula, which is:

\(nCr = n! / r!(n-r)!\)

Where n is the total number of available subtitled movies and r is the number of movies to choose (in this case, r=4).

Assuming there are at least four subtitled movies available, the number of ways to choose four movies would be:

\(nC4 = n! / 4!(n-4)!\)

Simplifying the equation further, we have:

\(nC4 = (n * (n-1) * (n-2) * (n-3)) / 4 * 3 * 2 *1\)

Therefore, the number of ways the foreign language club can choose four movies from the available subtitled movies is given by the formula nC4.

The formula calculates the number of possible combinations of four movies that can be selected from the total number of available subtitled movies, without regard to the order in which they are shown.

Learn more about equation here:

https://brainly.com/question/29174899

#SPJ4

Answer:

-4

Step-by-step explanation:

Move variables to one side and numbers on the other.

12 - 3x = -6x

+ 3x +3x

12 = -3x

/-3 /-3

-4 = x

Answer:

C

Step-by-step explanation:

Because for every x value there is only one y value

Let us label the sides of each triangle using hypotenuse (hyp), opposite (opp), and adjacent (adj) terms.Triangle 1 In the above right triangle, the hypotenuse is opposite to the right angle and the other two sides are adjacent to the right angle.

Therefore,AB is the adjacent side to angle θAC is the hypotenuse BC is the opposite side to angle θThus, the sides of Triangle 1 are labeled as follows:Adjacent side to angle θ is AB which is labeled as ADJ.Hypotenuse is AC which is labeled as HYP. Opposite side to angle θ is BC which is labeled as OPP.Triangle 2In the above right triangle, the hypotenuse is opposite to the right angle and the other two sides are adjacent to the right angle. Therefore,XZ is the adjacent side to angle θ XY is the hypotenuse YZ is the opposite side to angle θ.

Thus, the sides of Triangle 2 are labeled as follows:Adjacent side to angle θ is XZ which is labeled as ADJ.Hypotenuse is XY which is labeled as HYP. Opposite side to angle θ is YZ which is labeled as OPP.

To know more about Traingle visit-

https://brainly.com/question/2773823

#SPJ11

It seems that a study was conducted to investigate the effects of cinnamon on people's health. The question at hand is whether the data from the study provide convincing statistical evidence that taking cinnamon for one month results in a higher proportion of people being classified as normal compared to those who do not take cinnamon.

However, in general, statistical evidence is considered convincing when the probability of the observed results occurring by chance alone is very low. This is typically determined by calculating a p-value, which is a measure of the probability of obtaining results as extreme as the ones observed, assuming that there is no real effect of the intervention being tested (in this case, cinnamon).

Without more information, it is difficult to say whether the data from this study provide convincing statistical evidence for the effectiveness of cinnamon. It is also important to note that statistical evidence alone does not necessarily provide a complete picture of whether a treatment or intervention is effective or safe. Other factors, such as potential side effects and the overall health and needs of the people being treated, should also be considered.

learn more about statistical evidence here: brainly.com/question/27382920

#SPJ11

The answer is:

5/4

Work/explanation:

Let's work out the slope of the line.

The equation is in y = mx + b form where m = slope; b = y intercept.

Similarly, in y=5/4x - 7/4, the slope is 5/4.

Answer: y=\(\sqrt[3]{x}\)-4

Step-by-step explanation:

The fencing needed to keep our rabbits is approximately 44 meters

Given that a circle garden has an area of 25π and the radius is increased by 2 meters and fencing is sold only in one meter section. We need to find how much fencing is needed to keep our rabbits.

Step 1: Area of a circle is given by:

A = πr²

where

r is the radius of the circle garden.

So, the area of circle garden with radius r is given by:

25π = πr²

Dividing both sides by π,

we get:

r² = 25r = ± 5

The radius cannot be negative.

So, r = 5 m

Step 2: When the radius is increased by 2 m, the new radius is:

r + 2 = 5 + 2

= 7 m

Step 3: The length of fencing required will be equal to the circumference of the new circle with radius 7 m.

Circumference of the new circle with radius 7 m is given by:

C = 2πr

= 2π(7)

≈ 43.98 m

Therefore, the fencing needed to keep our rabbits is approximately 44 meters.

To know more about circle visit:

https://brainly.com/question/12930236

#SPJ11

Answer:

A dilation by 2 and a rotation about the origin at 90 degrees counter-clockwise

Step-by-step explanation:

Already taken geometry.

The second solution is: y2(x) = -1 / x¹⁸ + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx) where C is a constant of integration.

To find a second solution y2(x) for the given differential equation x²y'' - xy' + 26y = 0 with the function y1(x) = x sin(5 ln x), we'll use the reduction of order formula:y2(x) = y1(x) * e^(-∫P(x)dx) * ∫(e^(∫P(x)dx) / y1(x)^2 dx)
First, rewrite the given differential equation in the standard form:
y'' - (1/x)y' + (26/x²)y = 0
From this, we can identify P(x) = -1/x.
Now, calculate the integral of P(x):
∫(-1/x) dx = - ln|x|
Now, apply the reduction of order formula:
y2(x) = x sin(5 ln x) * e^(ln|x|) * ∫(e^(-ln|x|) / (x sin(5 ln x))² dx)
Simplify the equation:
y2(x) = x sin(5 ln x) * x * ∫(1 / x² (x sin(5 ln x))² dx)
y2(x) = x² sin(5 ln x) * ∫(1 / (x² sin²(5 ln x)) dx)
Now, you can solve the remaining integral to find the second solution y2(x) for the given differential equation.

To find the second solution y2(x), we will use the reduction of order method. Let's assume that y2(x) = v(x) y1(x), where v(x) is an unknown function. Then, we can find y2'(x) and y2''(x) as follows:
y2'(x) = v(x) y1'(x) + v'(x) y1(x)
y2''(x) = v(x) y1''(x) + 2v'(x) y1'(x) + v''(x) y1(x)
Substituting y1(x) and its derivatives into the differential equation and using the above expressions for y2(x) and its derivatives, we get:
x^2 (v(x) y1''(x) + 2v'(x) y1'(x) + v''(x) y1(x)) - x(v(x) y1'(x) + v'(x) y1(x)) + 26v(x) y1(x) = 0
Dividing both sides by x^2 y1(x), we obtain:
v(x) y1''(x) + 2v'(x) y1'(x) + (v''(x) + (26/x^2) v(x)) y1(x) - (1/x) v'(x) y1(x) = 0
Since y1(x) is a solution of the differential equation, we have:
x^2 y1''(x) - x y1'(x) + 26y1(x) = 0
Substituting y1(x) and its derivatives into the above equation, we get:
x^2 (5v'(x) cos(5lnx) + (25/x) v(x) sin(5lnx)) - x(v(x) cos(5lnx) + v'(x) x sin(5lnx)) + 26v(x) x sin(5lnx) = 0
Dividing both sides by x sin(5lnx), we obtain:
5x v'(x) + (25/x) v(x) - v'(x) - 5v(x)/x + v'(x) + 26v(x)/x = 0
Simplifying the above expression, we get:
v''(x) + (1/x) v'(x) + (1/x² - 31/x) v(x) = 0

This is a second-order linear homogeneous differential equation with variable coefficients. We can use formula (5) in Section 4.2 to find the second linearly independent solution:
y2(x) = y1(x) ∫ e^(-∫P(x) dx) / y1^2(x) dx
where P(x) = 1/x - 31/x^2. Substituting y1(x) and P(x) into the above formula, we get:
y2(x) = x sin(5lnx) ∫ e^(-∫(1/x - 31/x²) dx) / (x sin(5lnx))² dx
Simplifying the exponent and the denominator, we get:
y2(x) = x sin(5lnx) ∫ e^(31lnx - ln(x)) / x^2sin²(5lnx) dx
y2(x) = x sin(5lnx) ∫ x^30 / sin²(5lnx) dx
Let u = 5lnx, then du/dx = 5/x, and dx = e^(-u)/5 du. Substituting u and dx into the integral, we get:
y2(x) = x sin(5lnx) ∫ e^(30u) / sin²(u) e^(-u) du/5
y2(x) = x sin(5lnx) ∫ e^(29u) / sin²(u) du/5
Using integration by parts, we can find that:
∫ e^(29u) / sin^2(u) du = -e^(29u) / sin(u) - 29 ∫ e^(29u) / sin(u) du + C
where C is a constant of integration. Substituting this result into the expression for y2(x), we get:
y2(x) = -x sin(5lnx) e^(29lnx - 5lnx) / sin(5lnx) - 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx)
Simplifying the first term and using the substitution u = 5lnx, we get:
y2(x) = -x⁶ e^(24lnx) + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx)
y2(x) = -x⁶ / x^24 + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx)
y2(x) = -1 / x¹⁸ + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx)
Therefore, the second solution is: y2(x) = -1 / x¹⁸ + 29x sin(5lnx) ∫ e^(29u) / sin(u) du/5 + Cx sin(5lnx) where C is a constant of integration.

Learn more about integration here: brainly.com/question/18125359

#SPJ11

Answer:

V = π*r^2*h/3

the formula not sure which answer represent that

117.29 ft^3

Step-by-step explanation:

Answer:

8.99.19 × 10^12 or

8991900000000

Step-by-step explanation:

9000000000000 (12 zeros)

Minus

8100000000 (8 zeros, the 1 takes the 9th decimal place)

Equals = 8991900000000

Answer:

A=hbb= 2

Step-by-step explanation:

your welcome plz brainlist

Answer:

21.75u2

Step-by-step explanation:

first use pythag for this

use rule c2=b2+a2

reverse the rule so that

b2=c2-a2

b2=100-81

b2=19

b=4.35

how u got the height of the triangle

use formula bh/2

10x4.35/2

=43.5/2

=21.75u2

Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

Answer:

D

Step-by-step explanation:

Left side of graph having a y almost =0 but not on the line of y=0