If y varies inversely as x2 and y=6 when x=30, what is y when x=6

Number 10 is Answer: y=2.5/2x+3.5

Step-by-step explanation:

The 3.5 is the y intercept because it is when x is 0. The slope is just the change in y over the change in x

Answer:

C: 1.5

Step-by-step explanation:

For point D, the y value goes from 4 -> 6. This means that 4x = 6 , \(x=\frac{6}{4} = 1.5\).

For point F, both values (x and y) are multiplied by 1.5.

Answer:

c.1.5 is your answer

Step-by-step explanation:

For point D, the y value goes from 4 -> 6. This means that 4x = 6 , x=6/4=1.5

The probability that the arrangement reads xoxo xoxoxo is 1/10.

There are three tiles that are marked as xx and two other tiles are marked as oo. The five tiles are selected without replacement in a row.

the possible probability is given by

                                                      \(\frac{2!3!!}{5!}\)

                                                  \(=\frac{3}{5} .\frac{2}{4}.\frac{2}{3}.\frac{1}{2}.\frac{1}{1} \\ =\frac{1}{10}\)

hence by expanding the factorial as 5!=5*4*3*2*1 (on multiplying we get 120 )and similarly 2!=2*1 (on multiplying we get 2) and 3!=3*2*1  (on multiplying we get 6 ) by solving these factorials we get 1/10 as a probability for a given arrangement.

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To find the maximum or minimum value of the function f(x, y, z) = x^2y^2z^2 subject to the given constraint, we need to apply the method of Lagrange multipliers.

To find the maximum or minimum value of f(x, y, z) = x^2y^2z^2 subject to a constraint, we introduce a Lagrange multiplier λ and form the Lagrangian function L(x, y, z, λ) = f(x, y, z) - λg(x, y, z), where g(x, y, z) is the constraint equation.

In this case, there is no specific constraint equation given, so we assume that the function is subject to some constraint. Let's denote the constraint equation as h(x, y, z) = 0.

To find the maximum or minimum value, we solve the following system of equations:

∇L = λ∇h,

h(x, y, z) = 0.

Taking the partial derivatives of L with respect to x, y, z, and λ, we obtain:

2xy^2z^2 = λhₓ,

2x^2yz^2 = λhᵧ,

2x^2y^2z = λh_z,

h(x, y, z) = 0.

Solving this system of equations will yield the critical points where the maximum or minimum of f(x, y, z) occurs subject to the given constraint.

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Answer:

4x-5y=3

-3=4x-5y

Step-by-step explanation:

4x-5y = 3

4x-5y = -3

both statements have different answers but has the same problem making the statement x=x and 0=0 making it have no solution

a) The mean can be calculated by adding all values and then divide by the total number of values:

b) The median is the middle value in the list of numbers, then you have to order the numbers as follows: 0, 0, 1, 3, 6.

c) The mode is the value that occurs most often, as you have a 0 value twice, then

d) To calculate the sample variance you can use this formula

The sample standard deviation is the square root of sample variance, then

Answer:

(15×7)×29/€549×898×68

Answer:

0

Step-by-step explanation:

Continuing from where Karissa stopped, solving for the value of x in the equation can be done as follows:

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

\(\frac{x}{2} = \frac{-x}{2}\)

Cross multiply

2x = -2x

2x + 2x = 0

4x = 0

Divide both sides by 4

\(\frac{4x}{4} = \frac{0}{4}\)

x = 0

The value of x in the equation Karissa was solving is 0

Answer:

she would need like 2cups of sugar

Answer:

This can't be simplified anymore...its 8x^2

Step-by-step explanation:

This is a 2nd degree polynomial (also called a quadratic polynomial) since the highest power (or exponent) of a variable that occurs in the polynomial is the power 2.

Hope this helps:)

Answer:

the answer is (8x^2)

Step-by-step explanation:

Statement I is correct, while statements II and III are false. The longer-term bond (Bond L) fluctuates more due to its higher interest rate risk compared to the shorter-term bond (Bond S).

To calculate the value of Bond L and Bond S, we need more information, specifically the interest rate or yield associated with these bonds.

a. Bond prices are influenced by various factors, including the bond's face value, coupon payments, time to maturity, and prevailing interest rates. Without the interest rate or yield, we cannot determine the exact values of Bond L and Bond S.

The bond price can be calculated using the present value formula, which discounts the future cash flows of the bond to their present value.

b. The longer-term bond (Bond L) tends to fluctuate more when interest rates change compared to the shorter-term bond (Bond S) due to interest rate risk. Interest rate risk refers to the impact of changes in interest rates on the value of a bond.

I. Longer-term bonds have more interest rate risk than shorter-term bonds. This statement is true. Longer-term bonds are exposed to changes in interest rates for a more extended period, which makes their prices more sensitive to interest rate movements. When interest rates rise, the value of longer-term bonds tends to decrease more than shorter-term bonds.

II. Longer-term bonds have less reinvestment rate risk than shorter-term bonds. This statement is false. Reinvestment rate risk refers to the risk of reinvesting coupon payments at lower interest rates when the bond matures. Longer-term bonds have a higher reinvestment rate risk because they have more coupon payments to reinvest over the bond's longer lifespan.

III. Longer-term bonds have less interest rate risk than shorter-term bonds. This statement is false. As mentioned earlier, longer-term bonds have more interest rate risk because their prices are more sensitive to changes in interest rates compared to shorter-term bonds.

In summary, statement I is correct, while statements II and III are false. The longer-term bond (Bond L) fluctuates more due to its higher interest rate risk compared to the shorter-term bond (Bond S).

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The ratio of Chinese Yuan to Saudi Riyal is given as follows:

0.19 : 0.2857.

The ratio between two amounts a and b is given by the division of a by b, applying a proportion.

One U.S. dollar is equivalent to about 5.25 Chinese yuan, hence the value of one Chinese Yuan is given as follows:

1/5.25 = $0.19.

One U.S, dollar is equivalent to about 3.5 Saudi riyal, hence the value of one Saudi riyal is given as follows:

1/3.5 = $0.2857.

Then the ratio is given as follows:

0.19 : 0.2857.

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Answer:

9^20

Step-by-step explanation:

When the exponents are multiply by an exponent, you multiply the exponent in this case the exponents are 4 and 5 so 4(5)=20.

Roads that are well-maintained, dry, and free from hazards are generally less likely to result in traction loss.

The likelihood of losing traction depends on various factors such as road conditions, weather, vehicle type, and driver behavior. However, in general, roads that are well-maintained, dry, and free from debris or hazards are less likely to result in traction loss. Additionally, roads with good grip surfaces, such as asphalt or concrete, tend to provide better traction compared to unpaved or slippery surfaces. It's important to drive cautiously and adapt to the specific conditions of the road to minimize the risk of losing traction.

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\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{doubled}{2V} \end{cases}\implies 2V=\cfrac{\pi r^2 h}{3}\implies V=\cfrac{\pi r^2 h}{3\cdot 2} \\\\\\ V=\cfrac{\pi r^2}{3}\cdot \cfrac{h}{2}\implies V=\cfrac{\pi r^2\left( \frac{h}{2} \right)}{3}\qquad \textit{half the previous "h"}\)

Answer: 2h

Step-by-step explanation:

1 pound is equivalent to 16oz

Answer:

0.0312

Step-by-step explanation:

You subtract 29.12 by 26 which equals 3.12

Then you divide by 100 which equals 0.0312

Answer:

12

Step-by-step explanation:

The work required to pump all the water over the top edge of the cylindrical tank is approximately 83,500 kJ.

To calculate the work required to pump all the water over the top edge of the cylindrical tank, we need to determine the volume of the water in the tank and the force required to lift it to the top edge.

The volume of water in the tank can be found by multiplying the cross-sectional area of the tank by the depth of the water. Since the tank is cylindrical, the cross-sectional area is given by πr^2, where r is the radius of the tank. Therefore, the volume of water in the tank is:

V = πr^2h = π(6m)^2(5m) = 540π m^3

To lift the water to the top edge of the tank, we need to overcome the force of gravity acting on the water. The force required to lift an object of mass m against gravity is given by F = mg, where g is the acceleration due to gravity (9.81 m/s^2).

The mass of the water in the tank can be found by multiplying its volume by its density. The density of water is approximately 1000 kg/m^3. Therefore, the mass of the water in the tank is:

m = ρV = (1000 kg/m^3)(540π m^3) = 1.7 x 10^6 kg

The force required to lift the water to the top edge of the tank is:

F = mg = (1.7 x 10^6 kg)(9.81 m/s^2) = 16.7 x 10^6 N

To find the work required to lift the water, we need to multiply the force by the distance over which it acts. The distance is equal to the height of the water in the tank, which is 5 m.

Therefore, the work required to pump all the water over the top edge of the tank is:

W = Fd = (16.7 x 10^6 N)(5 m) = 83.5 x 10^6 J

Rounding to the nearest kilojoule, the work required is approximately 83,500 kJ.


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Answer:

1/5

Step-by-step explanation: You add 4+10+6 to get 20. So the probability that the spinner lands on red would be 4/20. If you need it simplified  you take 4 and divide it by 4 to get 1, then you would divide 20 by 4 to get 5. that would leave you with 1/5.

The standard error of the distribution of sample proportion is 0.0490.

What is the standard error of the distribution?

The standard error of a statistic's sampling distribution, denoted as x, describes how much the computed statistics should differ from one another when calculated from a sample of similar size and drawn from similar population models.

We have,

Population parameter (P) = 0.4,

n = 100,

The standard error (S.E.) =?

The formula of standard error (S.E.) =  \(\sqrt{\frac{P(1 - P)}{n} }\)

By using the formula:

S.E. = √0.4(1 - 0.4)/100

S.E. = √0.0024

S.E. = 0.0489

S.E. = 0.0490

Hence, the standard error of the distribution of sample proportion is 0.0490.

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The graph of the function is given above.

The graph of the function f(x) = x + 3x + 2 is a parabola that opens upwards.

We have,

The graph of the function f(x) = x + 3x + 2 is a parabola.

The coefficient of x² is positive, so the parabola opens upwards.

To sketch the graph of the function, we can use the vertex formula.

The x-coordinate of the vertex is given by -b/2a, where a and b are the coefficients of x^2 and x, respectively.

In this case, a = 1 and b = 3, so the x-coordinate of the vertex is -3/2.

To find the y-coordinate of the vertex, we can substitute this value of x into the function to get:

f(-3/2) = (-3/2)^2 + 3(-3/2) + 2 = 1/4 - 9/2 + 2 = -15/4

So the vertex is at (-3/2, -15/4).

We can also find the y-intercept by setting x = 0:

f(0) = 0² + 3(0) + 2 = 2

So the y-intercept is at (0, 2).

Thus,

The graph of the function is given below.

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Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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The is used as a measure of to overcome the range is influenced too much by .

?

are then selected as 3 points such that

they create four groups in the data, each groups approximately possessing 25% of the data.

(inter quartile range) is defined as the between third and first quartile.

Since, range is used as a measure of to overcome the difficult of the range.

The interquartile range can be affected by , so the IQR (interquartile range) is used as a better of the range.

Hence, The interquartile range is used as a measure of variability to overcome the range is influenced too much by

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The interquartile range is used to overcome the difficulty of range as a measure of variability which is affected by outliers.

The range is a measure of variability which is determined by calculating the difference between the highest and lowest values in a dataset. However, this measure of variability can be affected by outliers - values that are unusually high or low. For example, if a dataset includes one value that is much higher than the rest, then the range will be much higher than it would be without the outlier. The interquartile range is used to overcome this difficulty by ignoring the outliers when calculating the range. It is calculated by dividing the data into quartiles and then subtracting the lower quartile from the upper quartile. This gives a more reliable measure of variability as it ignores the outliers and is not affected by them.

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Answer:

\(\sf a) y^{\frac{5}{3}}\\\\b) x^{\frac{-1}{5}}\\\\c)w^{\frac{7}{8}}\)

Step-by-step explanation:

Radical to exponent form:

   \(\sf \boxed{\sqrt[n]{x}=x^{\frac{1}{n}} }\)

\(\sf a) \sqrt[3]{y^5}=y^{5*\frac{1}{3}} =y^\frac{5}{3}\)

\(\sf b) \dfrac{1}{\sqrt[5]{x} }=\dfrac{1}{x^{\frac{1}{5}}}=x^{\frac{-1}{5}}\)

\(\sf c) \sqrt[8]{w^7}=w^{7* \frac{1}{8}}=w^{\frac{7}{8}}\)

Answer:

The population standard deviation is a measure of how much variation there is among individual data points in a population. It's a way of quantifying how spread out the data is from its mean.