the heights of two cylinders are in the ratio of 5:3 and their volume are in the ratio 20:27. then the ratio of their radius is...... ?

plz its urgent

Answer:

the base should be a circle

Step-by-step explanation:

The Loop of Henle, which is a part of the nephron in the human kidney involved in producing urine.

The Loop of Henle is divided into three parts:

The thin descending limb, the thick ascending limb, and the thin ascending limb.

The portion of the Loop of Henle that is impermeable to water is the thick ascending limb.

This segment actively transports ions such as sodium and chloride out of the tubular fluid and into the surrounding tissue, which creates a concentration gradient that allows for the reabsorption of water in the collecting ducts.

Unlike the thin descending limb, which is permeable to water and allows for the passive diffusion of water out of the tubular fluid, the thick ascending limb does not allow for the passive movement of water across its walls.

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Answer: 28 because 16+12=28

Answer:yes the ratios are the same

Step-by-step explanation: when found to common denominator they are equal 16x3 equals 48 and 12x4 equals 48

The given system of differential equations is:

Jx' = Ax + By

y' = Cx + Dy

To find the solution to the given system of differential equations, let's first rewrite the system in matrix form:

Jx' = A*x + B*y

y' = C*x + D*y

where

J = [-67 -210]

A = [21 66]

B = [0]

C = [0]

D = [1]

Now, let's solve the system using the initial conditions. We'll differentiate both sides of the second equation with respect to t:

y' = C*x + D*y

y'' = C*x' + D*y'

Substituting the values of C, x', and y' from the first equation, we have:

y'' = 0*x + 1*y' = y'

Now, we have a second-order ordinary differential equation for y(t):

y'' - y' = 0

This is a homogeneous linear differential equation with constant coefficients. The characteristic equation is:

r^2 - r = 0

Factoring the equation, we have:

r(r - 1) = 0

So, the solutions for r are r = 0 and r = 1.

Therefore, the general solution for y(t) is:

y(t) = c1*e^0 + c2*e^t

y(t) = c1 + c2*e^t

Now, let's solve for c1 and c2 using the initial conditions:

At t = 0, y(0) = -5:

-5 = c1 + c2*e^0

-5 = c1 + c2

At t = 0, y'(0) = 17:

17 = c2*e^0

17 = c2

From the second equation, we find that c2 = 17. Substituting this into the first equation, we get:

-5 = c1 + 17

c1 = -22

So, the particular solution for y(t) is:

y(t) = -22 + 17*e^t

Now, let's solve for x(t) using the first equation:

Jx' = A*x + B*y

Substituting the values of J, A, B, and y(t), we have:

[-67 -210] * x' = [21 66] * x + [0] * (-22 + 17*e^t)

[-67 -210] * x' = [21 66] * x - [0]

[-67 -210] * x' = [21 66] * x

Now, let's solve this system of linear equations for x(t). However, we can see that the second equation is a multiple of the first equation, so it doesn't provide any new information. Therefore, we can ignore the second equation.

Simplifying the first equation, we have:

-67 * x' - 210 * x' = 21 * x

Combining like terms:

-277 * x' = 21 * x

Dividing both sides by -277:

x' = -21/277 * x

Integrating both sides with respect to t:

∫(1/x) dx = ∫(-21/277) dt

ln|x| = (-21/277) * t + C

Taking the exponential of both sides:

|x| = e^((-21/277) * t + C)

Since x can be positive or negative, we have two cases:

Case 1: x > 0

x = e^((-21/277) * t + C)

Case 2: x < 0

x = -e^((-21/277) * t + C)

Therefore, the solution to the

given system of differential equations is:

x(t) = C1 * e^((-21/277) * t) for x > 0

x(t) = -C2 * e^((-21/277) * t) for x < 0

y(t) = -22 + 17 * e^t

where C1 and C2 are constants determined by additional initial conditions or boundary conditions.

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Answer:

100,000

Step-by-step explanation:

Answer:

3.16 x 10⁵ or 316,000

Step-by-step explanation:

We can start by dividing the mass of the sun by the combined mass of the moon, Earth, and Pluto:

1.898 x 10³⁰ / 5.986 x 10²⁴ ≈ 3.16 x 10⁵

This means that approximately 3.16 x 10⁵ (or 316,000) combined masses of the moon, Earth, and Pluto are needed to equal the mass of the sun.

Answer:

Step-by-step explanation:

\(\frac{5}{10}*\frac{-4}{12}-\frac{1}{3}-\frac{4}{12}*\frac{2}{10}\\\\=\frac{1}{2}*\frac{-1}{3}-\frac{1}{3}-\frac{1}{3}*\frac{1}{5}\\\\= \frac{-1}{3}[\frac{1}{2}+1+\frac{1}{5}]\\\\=\frac{-1}{3}[\frac{1*5}{2*5}]+\frac{1*10}{1*10}+\frac{1*2}{5*2}]\\\\=\frac{-1}{3}[\frac{5}{10}+\frac{10}{10}+\frac{2}{10}]\\\\=\frac{-1}{3}[\frac{5+10+2}{10}]\\\\=\frac{-1}{3}*\frac{17}{10}\\\\=\frac{-17}{30}\)

P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

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The probability that Marshall wins a prize on his second spin =  0.1875

Consider an event X = the number of spins until Marshall wins a prize.

Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.

So, the sample space n = 4

For given event x, the possible outcomes = 1

Using the formula of probability,

p = x/n

p = 1/4

p = 0.25

So, the probability of success p = 0.25

q = 1 - p

q = 1 - 0.25

q = 0.75

To find the probability that Marshall wins a prize on his 2nd spin.

Using formula, \(P(X = k) = (1 - p)^{k-1}p\)

For  k = 2,

\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)

P(X = 2) = 0.75 × 0.25

P(X = 2) = 0.1875

Thus, the required probability is  0.1875

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Answer:

-11

Step-by-step explanation:

See the picture for your understanding.

Since a and b are oppoiste angles of 80° and 60° respectively

a = 80°

b = 60°

Since sum of three angles in a triangle is 180°

x + 51 + 60° + 80° = 180°

x = -11

Answer:

1) 0.9 as fraction is:  \(\mathbf{\frac{9}{10}}\)

2) Solve for c =4 for the equation \(2 \times (c^2-5)\) we get 22

3) t = 64

4) p=3.15

5) Volume of Cuboid = 160 m³

6) x =9

Step-by-step explanation:

1) Write as fraction: 0.9

For writing the fraction, Since we have decimal point at tent's place so we can write it as: \(\frac{9}{10}\)

So, 0.9 as fraction is:  \(\mathbf{\frac{9}{10}}\)

2) Solve for c =4

\(2 \times (c^2-5)\)

Put c = 4 and find the answer

\(2 \times (c^2-5)\\Put\:c=4\\=2\times ((4)^2-5)\\=2\times (16-5)\\=2\times(11)\\=22\)

So, Solve for c =4 for the equation \(2 \times (c^2-5)\) we get 22

3) \(\frac{t}{4}=16\)

We need to find value of t

Multiply both sides by 4

\(4\times\frac{t}{4}=16\times 4\\t=64\)

So, we get t = 64

4) \(2.4p=7.56\)

We need to find value of p

Divide both sides by 2.4

\(\frac{2.4p}{2.4}=\frac{7.56}{2.4}\\p=3.15\)

So, we get p=3.15

5) Find Volume of Cuboid

The formula used is: \(Volume\:of\: Cuboid=Length\times Breadth \times Height\)

We have Length = 4, Breadth = 8 and Height = 5

Putting values and finding volume:

\(Volume\:of\: Cuboid=Length\times Breadth \times Height\\Volume\:of\: Cuboid=4\times 8 \times 5\\Volume\:of\: Cuboid=160\)

So, Volume of Cuboid = 160 m³

6) \(3x=27\)

We need to find value of x

Divide both sides by 3

\(3x=27\\\frac{3x}{3}=\frac{27}{3}\\x=9\)

We get x =9

Answer:

9

Step-by-step explanation: 3x4= 12  -3=9

Answer:

what's nelly's age

Step-by-step explanation:

4x divided by 3?

here is the graph for 1 y = -x - 7 2

Answer:

Slope: \(-1\)

y-intercept: \((0,72)\)

Step-by-step explanation:

\(1y=-x-72\)

Look down below for graph.

Hope this helps!

Real-World Application: Image Compression: Image compression is a fundamental concept in the field of computer graphics and image processing.

Linear algebra plays a crucial role in various image compression techniques. Let's consider a complete solution for image compression using concepts of linear algebra.

Linear algebra concepts, such as matrix operations and transformations, are fundamental to every step of the image compression process outlined above. By applying these techniques, we can achieve efficient storage and transmission of images while balancing the trade-off between image quality and compression ratio.

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Check the picture below.

\(z+25=(z-27) + (z-11)\implies z+25=2z-38 \\\\\\ 25=z-38\implies \boxed{63=z}\)

Answer:

top right

Step-by-step explanation:

The bank account balance is decreasing by a constant fraction each month, which is characteristic of an exponential function.

An exponential function is a function of the form f(x) = a * b^x, where a and b are constants. The function f(x) increases or decreases by a constant factor each time x increases by 1.

In the case of the bank account, the balance is decreasing by a constant fraction each month. This means that the function that represents the bank account as a function of time is an exponential function.

The constant fraction that the bank account balance is decreasing by can be found by calculating the ratio of the balance in two consecutive months.

For example, the ratio of the balance in month 2 to the balance in month 1 is 2880/3600 = 0.8. This means that the bank account balance is decreasing by a factor of 0.8 each month.

The function that represents the bank account as a function of time can be written as f(x) = 3600 * (0.8)^x, where x is the month.

Here is a table of the bank account balance and the function f(x):

Month Balance f(x)

1 3600 3600

2 2880 2880

3 2304 2304

4 1843.2 1843.2

5 1474.56 1474.56

As you can see, the function f(x) matches the bank account balance very closely. This means that the bank account balance is indeed an exponential function.

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The length of KI is 10 cms.

The skill of measuring the lengths of objects and understanding the units of length is very crucial as it helps us to interact with our environment in a more organized manner.

Here, ΔRJS ≈ Δ IJK

then JR / JI = SR/KI

         1/2   =5 /ki

         kI = 5 X 2

        kI = 10 units.

Thus, The length of KI is 10 cms.

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Answer:

they are basically asking how many size they have on the triangle

Step-by-step explanation:

The required inequality to show how many refrigerators and how many pianos the truck could carry is  300x + 425y ≤ 7300.

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

We have,

A truck that can carry no more than 7300 lb is being used to transport refrigerators and upright pianos.

Let x be the number of refrigerators in the truck and y be the number of pianos in the truck.

Then

300x + 425y = 7300

At x = 11 and y = 9

300(11) + 425(9)

= 7125 ib

So, the truck will not overload.

Inequality will we

300x + 425y ≤ 7300

Thus, required inequality is 300x + 425y ≤ 7300.

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The perimeters of the two composite figures are listed below:

Case C: 50.913π mm

Case D: 20.310 cm

In this problem we find two composite figures, whose perimeter have to be found. Perimeter is the length of all borders of the figure. The first figure is formed two semicircles and the second figure is formed by two semicircles and two right triangles, whose perimeter formulas are:

Semicircle

s = π · r

Triangle

s = b + h + p

Where:

Case c - The perimeter of the shape is:

s = π · (28 mm) + π · (14 mm) + 28 mm

s = 50.913π mm

Case d - The perimeter of the shape is:

s = 2π · (1.8 cm) + 2 · (4.5 cm)

s = 20.310 cm

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Answer:

48 cubic inches.

Step-by-step explanation:

The volume of a rectangular prism is given by the formula:

Volume = length x width x height

Since the rectangular prism has a volume of 6 cubic inches, we can write:

6 = length x width x height

When the prism is dilated using a scale factor of 2, each of its dimensions (length, width, and height) is multiplied by 2. Therefore, the new dimensions of the prism are:

2 x length, 2 x width, and 2 x height

The volume of the dilated prism can be calculated as:

Volume of dilated prism = (2 x length) x (2 x width) x (2 x height)

= 2³ x length x width x height

= 8 x (length x width x height)

Since the original rectangular prism had a volume of 6 cubic inches, we know that:

length x width x height = 6

Substituting this value into the equation for the volume of the dilated prism, we get:

Volume of dilated prism = 8 x 6 = 48 cubic inches

Therefore, the volume of the dilated rectangular prism is 48 cubic inches.

No outliers exist in this data. The class did well overall with the lowest score at 18 and most scores over 50.

For 5 bins: [18-30), [30-42), [42-54), [54-66), [66-82];

10 bins: [18-24), [24-30), [30-36), [36-42), [42-48), [48-54), [54-60), [60-66), [66-72), [72-82].

c. The 10-bin histogram may represent the data better, providing more detail about score distribution.

d. No outliers exist in this data. The class did well overall with the lowest score at 18 and most scores over 50. The largest concentration is in the 60s-80s range, indicating a positive skew.

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The appropriate test for comparing the means of two measurement methods is a paired t-test. Therefore, the answer is (a) paired t-test.

A paired t-test is used to compare the means of two related groups or samples. In this case, the two measurement methods are applied to the same sample of carp, and the results of the two methods are paired or matched by carp. The paired t-test calculates the mean and standard deviation of the differences between the two methods for each carp, and then tests whether the mean difference is significantly different from zero.

The paired t-test is an appropriate test in this scenario because it accounts for the variability within the sample and reduces the potential impact of confounding factors, such as differences in the size or age of the fish. Additionally, since the sample size is relatively small (18 carp), a t-test is more appropriate than a z-test, which assumes larger sample sizes and a known population standard deviation.

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The missing length of the triangle is given as follows:

x = 35 units.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the missing length is obtained as follows:

x² + 12² = 37²

x = sqrt(37² - 12²)

x = 35 units.

The image is blurry, hence the mistake in Jeff's part cannot be explained.

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Answer:

Hexagon

Step-by-step explanation:

Explanation: The sum of the interior angles of a hexagon must equal 720 degrees. Because the hexagon is regular, all of the interior angles will have the same measure. A hexagon has six sides and six interior angles.

The evaluated expression is 9x^13y√x

From the question, we have the following parametes that can be used in our computation:

\(x\2sqrt{x}9xx^{7}yx^{5}\)

Express properly

So, we have

x√x * 9x^7 * yx^5

Evaluate the products by applying the law of indices

So, we have the following representation

√x * 9* yx^13

This can be rewritten as

9x^13y√x

Hence, the solution is 9x^13y√x

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Answer:

28*3(x)

Step-by-step explanation:

The product of 7 and 4 is 28.

Times a number multiplied by three is the number 28 multiplied with 3x.

The value of the unknown number will be 2.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the product of seven and four times a number multiplied by three is 168. Then the value of the number will be calculated as below:-

Let the unknown number be x form an expression and solve for the value of x.

[ 7 ( 4x )(3) = 168

28x(3) = 168

x = 168 / 84

x = 2

Therefore, the value of the unknown number will be 2.

The complete question is given below:-

The product of seven and four times a number multiplied by three is 168. Find the value of the unknown number.

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