Can anyone explain? Please let me know!

9514 1404 393

Answer:

  D) 45 and 1.2

Step-by-step explanation:

The "varies inversely" relationship is described by the equation ...

  y = k/x . . . . . . y varies inversely with x (and vice versa)

The value of k can be found from known values of x and y:

  xy = k . . . . . . multiply the above equation by x

  (10)(6) = k = 60 . . . . using the given values

__

To check if a given pair of numbers satisfies ...

  y = 60/x

you can multiply them together to see if the product is 60.

  (A) 12×5 = 60

  (B) 15×4 = 60

  (C) 25×2.4 = 60

  (D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.

45 and 1.2 are not a possible solution for x and y.

Miguel's family used approximately 14.0 gallons of gas for their weekend trip.

To find the gallons of gas used, we need to divide the total distance by the car's average gas mileage:

Gallons of gas used = Total distance / Average gas mileage

Gallons of gas used = 357 miles / 25.5 miles per gallon

Gallons of gas used = 14.0 gallons (rounded to the nearest tenth)

what is gallons?

Gallons are a unit of measurement used to quantify the volume of liquid. In the context of the given problem, it refers to the amount of gas used by Miguel's family to drive 357 miles.

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Answer:

I would say -F=0.4

Step-by-step explanation:

if F=-0.4 and -F is the opposite of F then the opposite of -0.4 is 0.4

Answer: The probability that a millet seed will fall next can be found by dividing the number of millet seeds by the total number of remaining seeds.

Total number of remaining seeds = 40 + 65 + 60 + 35 = 200

Probability that a millet seed will fall next = Number of millet seeds / Total number of remaining seeds

= 65 / 200

= 0.325 or 32.5% (rounded to one decimal place)

Therefore, the probability that a millet seed will fall next is 0.325 or 32.5%.

Step-by-step explanation:

Answer:

24F...........,.....

Answer:

hope this is correct

(a) The relation is a function because each value of x maps onto only one value of y.

(b) Domain is \((-\infty, 3]\), range is \([-1, \infty)\).

Answer:

8.5

Step-by-step explanation:

Applying pythagora's theorem,

hypotenuse^2 = opposite^2 + adjacent^2

but, hypotenuse = 9

opposite = X

adjacent = 1/2(base of triangle)= 1/2(6)

adjacent = 3

9^2 = X^2 + 3^2

X^2 = 81 - 9

X^2 = 72

X = 8.5

The radius of convergence of given power series is \(\frac{1}{\rho} = \limsup_n \sqrt[n^2]{|c_n|}\).

According to the statement

we have to find that the radius of convergence of the given power series.

So, For this purpose, we know that the

The radius of convergence of a power series is the radius of the largest disk at the center of the series in which the series converges.

So,

If R is the radius of convergence of \(\sum_{n=0}^{\infty}c_n x^n\) then the series converges absolutely if |x|<R and diverges if |x|>R.

Hence, \(\sum_{n=0}^{\infty}c_n x^{2n}= \sum_{n=0}^{\infty}c_n (x^2)^n\) converges absolutely if |x^2|<R, and diverges if |x^2|>R. Hence the radius of convergence must be \(\sqrt{R}\).

For the second, note that if we write the power series as

\(\sum_{n=0}^{\infty}a_n x^n\) then an=0 if n is not a square, and \(a_n =c_k\) if \(n=k^2\).

Hence the radius of convergence is \(\frac{1}{\rho} = \limsup_n \sqrt[n^2]{|c_n|}\).

So, The radius of convergence of given power series is \(\frac{1}{\rho} = \limsup_n \sqrt[n^2]{|c_n|}\).

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Answer:

2009.6

Step-by-step explanation:

64*10*3.14

Answer:

  0, 1, or 2 real solutions

Step-by-step explanation:

Including complex and repeated solutions, a polynomial with real coefficients, and of degree n, always has n solutions.

If you're only concerned about real solutions, a 2nd degree equation in one variable may have 0, 1, or 2 real solutions. Here are some examples.

The measure if arc CD is 112 degrees

The measure of a chord- chord angle is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

∠ AED and ∠ CED are a linear pair and sum to 180° , that is

80° + ∠ CED = 180°( subtract 80° from both sides )

∠ CED = 100°

then

1/2(CD + AB) = ∠ CED

1/2 ( CD + 88) = 100° ( multiply both sides by 2 to clear the fraction )

CD + 88° = 200° ( subtract 88° from both sides )

CD = 112°

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Answer:

B. A student watches approximately 3 minutes less television for every 10 points gained in their math grade.

Blake can purchase approximately 60.75 pounds of Cheese Filled Lizards and 10 dozen of Fried Frog Skins with the $432 he saved by recycling old aluminum cans.

First we need to set up some equations.

Let's denote the amount of Cheese Filled Lizards in pounds as "c" and the number of dozen Fried Frog Skins as "f". We can then set up the following system of equations:

8c + 6f = 432 (the total cost of the party is $432)

12f = k (the number of Fried Frog Skins in individual pieces, k is an unknown constant)

To solve for "c" and "f", we need to eliminate one of the variables. We can do this by solving the second equation for "f" and substituting it into the first equation:

f = k/12

8c + 6(k/12) = 432

8c + (1/2)k = 432

16c + k = 864

Now we have a single equation in two variables. We can choose one of the variables and solve for it in terms of the other. For example, solving for "k" in terms of "c", we get:

k = 864 - 16c

Substituting this expression for "k" into the equation 12f = k, we get:

12f = 864 - 16c

f = (72/4) - (4/3)c

f = 18 - (4/3)c

So we have expressed the number of Fried Frog Skins in terms of the amount of Cheese Filled Lizards. We can now substitute this expression into the cost equation:

8c + 6(18 - (4/3)c) = 432

Solving for "c", we get:

8c + 108 - 8c/3 = 432

16c/3 = 324

c = 60.75

So, Blake can purchase approximately 60.75 pounds of Cheese Filled Lizards and 10 dozen of Fried Frog Skins with the $432 he saved by recycling old aluminum cans.

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The rate of change of the functions are: I. -3 II. -1/4.

Therefore, C. Both functions are decreasing and have different rates of change.

The rate of change of any function can be calculated as = change in y / change in x.

If the rate of change is a negative number, the function is decreasing. If it is a positive number, the function is decreasing:

Rate of change of the line that passes through (3, 3) and (4, 0):

Rate of change = (0 - 3) / (4 - 3)

= -3/1

= -3 [this means the function is decreasing].

Rate of change of the function represented by the table, using two pairs of the table values, (0, -1) and (-4, 0):

Rate of change = (0 -(-1)) / (-4 - 0)

= 1/-4

= -1/4 [this shows the function is decreasing]

Therefore, the answer is: C. Both functions are decreasing and have different rates of change.

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The wire should be cut at 6.67 meters for the square and 3.33 meters for the equilateral triangle.

To maximize the total area enclosed by the square and the equilateral triangle, we need to determine the optimal lengths of the wire used for each shape. Let's break down the problem step by step:

Let's assume the length of the wire used for the square is x. Therefore, the length of the wire used for the equilateral triangle will be 10 - x.

For the square, all sides are equal, so each side will have a length of x/4.

For the equilateral triangle, all sides are equal as well, so each side will have a length of (10 - x)/3.

The area of a square is given by side squared, so the area of the square will be (\(x/4)^2 = x^2/16.\)

The area of an equilateral triangle is given by (sqrt(3)/4) * side squared, so the area of the equilateral triangle will be\([(\sqrt{(3)/4)} * ((10 - x)/3)^2] = (\sqrt{(3)/36)} * (10 - x)^2.\)

The total area enclosed will be the sum of the areas of the square and the equilateral triangle:\(x^2/16 + (\sqrt{(3)/36)} * (10 - x)^2.\)

To find the maximum area, we can take the derivative of the total area function with respect to x, set it equal to zero, and solve for x.

Differentiating the total area function with respect to x, we have:

\((1/16) * 2x - (2\sqrt{(3)/36)} * (10 - x) = 0.\)

Simplifying and solving for x, we get:

\((1/8) * x = (\sqrt{(3)/18)} * (10 - x).\)

Multiplying both sides by 8/3, we have:

x = (8/3) * (10 - x).

Simplifying further, we get:

4x = 80 - 8x.

Combining like terms, we have:

12x = 80.

Dividing by 12, we get:

x = 80/12 = 6.67.

Therefore, to maximize the total area enclosed, the wire should be cut at approximately 6.67 meters for the square and (10 - 6.67) = 3.33 meters for the equilateral triangle.

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  To integrate the function x^3 * e^x dx, we can apply the integration by parts method. To determine the appropriate choice for u, we have the options of u = x^3 or u = e^x.

When applying integration by parts, we utilize the formula ∫u dv = u v - ∫v du, where u and v are functions of x. In this case, we need to select u and dv in a way that simplifies the integration process.Let's consider the options for u. If we choose u = x^3, then dv = e^x dx. Alternatively, if we choose u = e^x, then dv = x^3 dx. To decide which option is more convenient, we examine how the choice affects the differentiation and integration steps.
Differentiating u = x^3 gives du = 3x^2 dx, which simplifies the integration process as we move from a higher power of x to a lower power. Integrating dv = e^x dx results in v = e^x, which is a relatively simple function.Therefore, we select u = x^3 and dv = e^x dx. By applying integration by parts with these choices, we can proceed to integrate the function x^3 * e^x dx. The integration by parts formula becomes ∫x^3 * e^x dx = x^3 * e^x - ∫3x^2 * e^x dx.
This process can be repeated by applying integration by parts to the new integral on the right-hand side, which involves the term 3x^2 * e^x. Continuing the process will eventually lead to a solvable integral.Please note that carrying out the complete integration requires multiple iterations of the integration by parts method, but the exact steps and calculations involved in the subsequent iterations are not provided in the question.

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When studying the relationship between test performance (exam score) and length of sleep (the night before), here the true population correlation is being used.

Correlation:

Correlation analysis examines relationships between variables. The purpose of correlation analysis is to find out whether there are relationships between variables that are unlikely to be caused by sampling error. The null hypothesis states that there is no relationship between the two variables. Correlation analysis provides the following information:

Direction of relationship: positive or negative - indicated by the sign of the correlation coefficient.

Strength or magnitude of relationship between two variables - indicated by the correlation coefficient, which varies from 0 (no relationship between variables) to 1 (perfect relationship between variables).

Positive Correlation:

A positive correlation indicates that high scores for one variable are associated with high scores for the other variable. Low values ​​of one variable are associated with low values ​​of the second variable. For example, in the chart below, a higher score for negative impacts corresponds to a higher score for perceived stress.

Negative Correlation:

A negative correlation indicates that high values ​​of one variable are associated with low values ​​of the other variable. This graph shows that people with higher perceived stress scores are more likely to have lower proficiency scores. The slope of the graph decreases toward the right. In the chart below, the higher the mastery score, the lower the perceived stress score.

Strength or Magnitude of Relationship

The strength of a linear relationship between two variables is measured by a statistic known as the correlation coefficient, which varies between 0 and -1 and 0 and +1. There are some correlation coefficients. The most common are Pearson's r and Spearman's rho. The strength of the relationship is interpreted as follows.

Small/Weak: r= 0.10 to 0.29

Medium/Medium: r= 0.30 to 0.49

Large/Strong: r= 0.50 to 1

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Answer:

i’m pretty sure it is 3 but i could be wrong

Step-by-step explanation:

Answer:

10.6 miles

Step-by-step explanation:

I hope this helps you

Answer:

= 7.5 USD per hour

Step-by-step explanation:

This is a fraction equal to

52.5 USD ÷ 7 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 7

\(\frac{52.5}{7}\)= 7.5 USD per hour

The volume of the cone in the composite figure is approximately 29.32 cubic centimeters

To calculate the approximate volume of the composite figure, we need to determine the volumes of the individual components and then add them together.

The composite figure consists of a cone. The formula for the volume of a cone is:

V = (1/3) * π * r^2 * h

where V is the volume, π is the constant approximately equal to 3.14, r is the radius, and h is the height of the cone.

Given that the radius of the cone is 2 centimeters and the height is 7 centimeters, we can substitute these values into the formula:

V = (1/3) * 3.14 * 2^2 * 7

V = (1/3) * 3.14 * 4 * 7

V = (1/3) * 3.14 * 28

V = 29.32 cm^3 (rounded to two decimal places)

Therefore, the volume of the cone in the composite figure is approximately 29.32 cubic centimeters.

It's important to note that if there are other components in the composite figure, their volumes need to be calculated separately and added to the volume of the cone to find the total volume of the composite figure.

However, since the given information only specifies a cone, the calculated volume represents the approximate volume of the entire composite figure.

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Answer:

10

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

3 1/3 * 3 = 10

Answer:

\(\frac{289}{4}\)

Step-by-step explanation:

\((\frac{-b}{2a})^{2} = (\frac{-17}{2}) ^2 = \frac{289}{4}\)

Answer:

B

Step-by-step explanation:

Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of the

pyramid to the volume of the prism?

1

A} volume of Pyramid

volume of priam

B} volume of pyramid

volume of priuam

C} volume of pyramid

volume of priim

D} Volume of pyramid

volume of

prime

____________________________________________

volume of the prism

The letter with the least probability of being selected is "n" since it appears only once in the word "senselessness".

The probability of an event A is calculated by dividing the number of favourable outcomes by the total number of possible outcomes.

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