Is the point (20,13) on this line? Explain your reasoning​

Mohr's circle is a graphical method used to determine the principal stresses and shear stresses in a material. Given the stress components σx = 16 ksi, σy = 9 ksi, and τxy = 5 ksi, we can follow several steps to draw and analyze Mohr's circle.

1. To begin, draw a stress element with the x-axis representing normal stress (σ) and the y-axis representing shear stress (τ). Label the x-axis as σ and the y-axis as τ.

2. Find the center of Mohr's circle by calculating the average of the normal stresses: (σx + σy) / 2. In this case, the center is ((16 + 9) / 2, 0) = (12.5 ksi, 0).

3. Determine the radius of Mohr's circle using the formula: R = ((σx - σy) / 2). In this case, the radius is ((16 - 9) / 2) = 3.5 ksi.

4. Draw Mohr's circle with the center at (12.5 ksi, 0) and a radius of 3.5 ksi. The circle represents all possible stress states for the given stress components.

5. To draw the principal stress element, draw a line from the center of the circle to the right edge of the circle. The angle between this line and the x-axis represents the orientation of the principal stress element.

To find the absolute shear stress when σx = σy, we need to identify the point on Mohr's circle where the x-axis intersects. At this point, the shear stress (τ) is zero, since there is no shear stress when σx = σy.

Mohr's circle can be drawn by following the steps outlined above. The circle represents all possible stress states, and the principal stress element can be identified by drawing a line from the center to the right edge of the circle. The absolute shear stress when σx = σy is zero, as indicated by the point where the x-axis intersects Mohr's circle.

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Answer:

$6.00

Step-by-step explanation:

Total amount of money = 0.25q + 0.1d

where q is the number of quarters and d is the number of dimes

The problem states we have 18 quarters: d = 18

And that there are 15 dimes: d = 15

Plugging it in we get

= 0.25(18) + 0.1(15)

= 4.5 + 1.5

= 6.0

Answer:

The correct answer is -4.

Six less than the quotient of two and a number "W"

Let's take this step-by-step. First, change the written-out numbers to numerals:

6 less than the quotient of 2 and a number "W"

Next, combine the smallest part. In this case, it would be:

the quotient of 2 and a number "W"

Here, you are finding the quotient of a specific part: 2 and W. When we have specific sections like this in math, we put parentheses around them, like this:

6 less than the quotient of (2 and a number "W")

Now we need to remember what a "quotient" is. This means that there is division between the two numbers mentioned - in this case, 2 and the number W. But which is being divided into which? The number 2 comes first, so we think of 2 as being the first number used. Therefore, we are looking at:

6 less than (2 divided by W)

Division problems are exactly the same as fractions. For example, 3 divided by 1 is the same as 3 ÷ 1, which is also the same as 3/1 (which equals 3). In our case, 2 divided by W is the same as 2/W (your teacher might want this written as 2 ÷ W, but they mean the same thing). Now, we can write the equation as:

6 less than (2/W)

Which can also be written as:

6 less than 2 ÷ W

To finish this up, let's take a step back for a moment Imagine you have 10 jelly beans, and you eat 7 of them. You now have 7 less than 10, or 3 jelly beans. This can also be written as 10-7 = 3.

In our example, we have 6 less than (2/W). If we use the jelly bean equation we found as a starting point, we can change the 7 to 6 and the 10 to (2/W). Then, we get this:

(2/W) - 6

Which can also be written as:

2 ÷ W - 6

And that's your answer! Both of those mean the same thing so they're both correct. Your teacher might prefer you write it one way or the other, though. If this is the case, make sure to choose the solution that best fits your teacher's request.

53 inches is the mean height of the students in the group.

Given data: \(54,48,52,56,55\)

We know that mean of the heights =  \(\frac{Sum of all the heights}{No. of students}\)

                                                         \(= \frac{54+48+52+56+55}{5}\)

                                                         \(= \frac{265}{5}\)

                                                         \(= 53\) inches

Thus, the mean height of the students is 53 inches

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Consider the following integral equation, so called because the unknown dependent variable,

y, appears within an integral:S

sin(4(t − w)) y(w) dw = 2t².

The equation is defined for t ≥ 0.

Separating the integralS sin(4(t − w)) y(w) dw,

we have:S sin(4t) ∫ y(w) dw - S cos(4t) ∫ w y(w) dw = 2t².

On differentiating with respect to t,

we obtain:4S cos(4t) ∫ y(w) dw - 4S sin(4t) ∫ wy(w) dw = 4t.T

he differentiation was done with the application of the Leibniz integral rule. Taking the second derivative,

we have:-16S sin(4t) ∫ y(w) dw - 16S cos(4t) ∫ wy(w) dw = 4.

Thus, y''(t) - 16S cos(4t) y(t) = 4S sin(4t).

The general solution is y(t) = c1 e^4tsin(4t) + c2 e^4t cos(4t) - (1/16) sin(4t).

The complementary function of the equation is: y_cf(t) = c1 e^4t cos(4t) + c2 e^4t sin(4t).

After finding the particular integral, the general solution is:y(t) = y_cf(t) + y_pi(t) = c1 e^4t cos(4t) + c2 e^4t sin(4t) - (1/16) sin(4t).

Hence, the integral equation is defined for t ≥ 0 and the solution is given by the general equation y(t) = c1 e^4t cos(4t) + c2 e^4t sin(4t) - (1/16) sin(4t).

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Answer:

  1.6 L or 1600 mL

Step-by-step explanation:

You want to know the total volume of one 0.9 L box and two 350 mL boxes.

The units are related by ...

  1 L = 1000 mL

Then the volumes of the given boxes are ...

  0.9 L = 900 mL

  350 mL = 0.35 L

You can add the volumes in either of the like units:

  900 mL + 2 × (350 mL) = 1600 mL

  0.9 L + 2 × (0.35 L) = 1.6 L

The total volume of the juice boxes is 1.6 L or 1600 mL.

__

Additional comment

You can convert the units a couple of ways.

Because the fraction has equal measures in the numerator and denominator, it does not change the size of the volume. It only changes the units of the volume.

The size of a Simple Random Sample (SRS) for estimating the mean score of medical college admissions test takers on your campus depends on the desired level of precision and the variability of the population.

The sample size required to estimate the mean score of a population depends on the desired level of precision, the variability of the population, and the level of confidence desired. In general, a larger sample size is needed to estimate the mean of a population with high variability or when a high level of precision is desired.

On the other hand, a smaller sample size is sufficient if the population is relatively homogeneous or if a lower level of precision is acceptable. It's important to note that a sample size that is too small may result in an imprecise estimate, while a sample size that is too large may be unnecessarily wasteful. A statistician can help determine the appropriate sample size for a given situation.

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Answer:

The graph decreases everywhere.

Step-by-step explanation:

you use the bottom line first, so start from the bottom and go up to the 3. it's opposite to trick you. think of it as a 9 going to a 3.

Answer:

x = 12

Step-by-step explanation:

1.25x = 15

x = 12

Answer: i thinks its C

Step-by-step explanation:

The formula for the temperature in ºC is:

\(C = \frac{5}{9}(F - 32)\)

As shown in the problem, the rule is as follows:

F(C) = 9C/5 + 32.

We want to find the temperature in Celsius given the Fahrenheit temperature, hence we have to solve for C the above formula, hence:

9C/5 = F - 32

9C = 5(F - 32)

C = 5/9(F - 32).

For better notation I will use Latex, as follows:

\(C = \frac{5}{9}(F - 32)\)

The above formula is the formula for the temperature in ºC.

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The function g(x) is equal to 2.

We have given that,

f(x)=c^2.

g(x)=1/2 x^2  take point (2,2) and input the values in the equation

for the value of x.

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

g(x)=1/2 (2)^2

g(x)= 1/2 *4

g(x)=2

Therefore the function g(x) is equal to 2.

Option B is correct.

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Answer:

their might be some videos on y o u t u b e about this but i don't know the answer to this cause I'm only in middle school

Step-by-step explanation:

The mean absolute deviation of the given data 10, 4, 12, 4, 2, 10, 10, 6 is 3.1875.

According to the given question.

The given data set is

10, 4, 12, 4, 2, 10, 10, 6

Mean of the given data set  

= (10 + 4 +  12 + 4 + 2 + 10 + 10 + 6)/8

= 7.25

Now, the absolute values are:

|10 - 7.25| = 2.75

|4 - 7.25| = 3.25

|12 -7.25| = 4.25

| 4 - 7.25| = 3.25

| 2 - 7.25| = 5.25

| 10 - 7.25| = 2.75

| 10 - 7.25| = 2.75

| 6 - 7.25| = 1.25

The average of all absolute values

= (2.75 + 3.25 + 4.25 + 3.25 + 5.25 + 2.75 + 2.75 + 1.25)/8

= 25.5/8

= 3.1875

Therefore, the mean absolute deviation of the given data 10, 4, 12, 4, 2, 10, 10, 6 is 3.1875.

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The order of the schools from the closest to farthest away from summer snow cones is South Elementary < West Side Elementary < North Junior High  .

In the question ,

it is given that

the Summer is planning to build a small snow cone shed .

the distance from north junior high = 7/8 miles = 0.875 miles

the distance from South elementary = 0.680 miles

the distance from West Side elementary = 5/6 miles = 0.833 miles

From , above result we see that

the farthest from summer snow cone is north junior high which is 0.875 miles .

the nearest from summer snow cone is South Elementary which is 0.680 miles .

So , the order from closest to farthest is

South Elementary < West Side Elementary < North Junior High

Therefore , The order of the schools from the closest to farthest away from summer snow cones is South Elementary < West Side Elementary < North Junior High  .

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The probability that an animal chosen at random from the pet shop is a rabbit or a hamster is 9/13.

Given that 3/13 of the animals are rabbits and 6/13 are hamsters, we can calculate the probability as follows:

Probability of choosing a rabbit = 3/13

Probability of choosing a hamster = 6/13

To find the probability of choosing either a rabbit or a hamster, we add these probabilities:

Probability of choosing a rabbit or a hamster = Probability of choosing a rabbit + Probability of choosing a hamster

                                              = 3/13 + 6/13

                                              = 9/13

Therefore, the probability that an animal chosen at random from the pet shop is a rabbit or a hamster is 9/13.

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Answer:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

wala muna akung ma explantion hahah sore

Let a function f be analytic everywhere in a domain D. Prove that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D. Suppose a function f(z) is analytic and real-valued throughout a domain D. Assume that there are two different points in D, say w and z, so that f(z) ≠ f(w). Therefore, we have a closed path consisting of the line segment from z to w and the line segment from w to z. Now let γ be any closed path in D that encloses the path from z to w.  Since f(z) ≠ f(w), f(z) - f(w) ≠ 0, so f(z) - f(w) / z - w ≠ 0. This makes the function 1 / (f(z) - f(w)) analytic throughout D. Thus, by Cauchy's theorem, $\oint_{\gamma } \frac{1}{f(z)-f(w)}dz = 0$.where gamma is a function.

frac stands for fraction. This leads to $\int_{w}^{z} \{1}/{f(z)-f(w)}dz + \int_{z}^{w} \{1}/{f(z)-f(w)}dz = 0$. But by substituting f(w) = f(z) and reversing the direction of integration in the second integral, we get, $\int_{w}^{z} \frac{1}{f(z)-f(w)}dz - \int_{w}^{z} \frac{1}{f(w)-f(z)}dz = 0$ . This results in the integral$\int_{w}^{z} \frac{f'(w)}{f(z)-f(w)}dz - \int_{w}^{z} \frac{f'(z)}{f(w)-f(z)}dz = 0$. Now it is time to simplify and evaluate each of the integrals. The first integral has value $\ln|f(z)-f(w)|$ and the second integral has value $\ln|f(z)-f(w)|$. Therefore, $f'(z)/f(z)-f(w) = f'(w)/(f(w)-f(z))$. This equation, however, is not possible unless $f(z) = f(w)$. Hence, we conclude that the function f(z) is constant throughout D.

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(b) (i) the sum of the even numbers from 2 to 2n is equal to n(n + 1). (ii)  the sum of the first 200 even numbers is 40,200. (iii) the sum of the first 200 odd numbers is 40,000.

(b) (i) To prove that the sum of the even numbers from 2 to 2n is equal to n(n + 1), we can use the formula for the sum of an arithmetic series.

The sum of an arithmetic series can be calculated using the formula: Sn = (n/2)(a + L), where Sn is the sum of the series, n is the number of terms, a is the first term, and L is the last term.

In this case, the first term (a) is 2, and the last term (L) is 2n.

So, applying the formula, we have:

Sn = (n/2)(2 + 2n)

Simplifying the expression further:

Sn = n(n + 1)

Therefore, the sum of the even numbers from 2 to 2n is equal to n(n + 1).

(ii) The sum of the first 200 even numbers can be found by substituting n = 200 into the formula we derived in part (i).

Sum of the first 200 even numbers = 200(200 + 1)

= 200(201)

= 40,200

Therefore, the sum of the first 200 even numbers is 40,200.

(iii) The sum of the first 200 odd numbers can be found using a similar approach.

The first odd number is 1, the second odd number is 3, and so on.

The sum of the first n odd numbers can be calculated using the formula: Sn =\(n^2.\)

Substituting n = 200, we have:

Sum of the first 200 odd numbers = 200^2

= 40,000

Therefore, the sum of the first 200 odd numbers is 40,000.

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You can use a random number generator to set a new y-value for Pac-man, causing him to reappear at a different vertical position when he goes off the screen.

To fix Pac-man to use random y-values each time he goes off screen, you would need to modify the code for his movement. Specifically, you would need to add a conditional statement that checks if Pac-man has gone off the screen, and if so, generates a random y-value for him to move to. This conditional statement should be placed within the function or method that controls Pac-man's movement. By doing this, Pac-man will use a random y-value each time he goes off the screen, creating a more unpredictable and exciting gameplay experience. To fix the Pac-man to use random y-values each time he goes off the screen, you would modify the game code in the section responsible for handling the Pac-man's position when it reaches the screen's edge.

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The rate of change remains the same over the mentioned intervals, function f cannot be quadratic or exponential.

Hence, it can be concluded that function f is a linear function.

Based on the given information that the rate of change of function f is the same from x = -9 to x = -4 as it is from x = 1 to x = 6, we can conclude that function f is a linear function.

A linear function is characterized by a constant rate of change, meaning that the change in the function's value is consistent over any given interval.

In this case, the rate of change remains the same from x = -9 to x = -4 and from x = 1 to x = 6.

On the other hand, a quadratic function is characterized by a changing rate of change, meaning that the function's value changes at an increasing or decreasing rate over different intervals.

An exponential function, on the other hand, exhibits a rapid growth or decay with an increasing rate of change.

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Answer:

Step-by-step explanation:

The length of each wall is 11.7 feet.

The area of Square is the product of its side

Area of Square = side x  side

Given:

Area of the floor is 137 square feet.

Now,

Area of the floor =137 square feet

side x side = 137

Side² = 137

side = √137

side = 11.7 feet.

Hence, length of each wall is 11.7 feet.

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By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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Answer:

p > 7

Step-by-step explanation:

4(p - 4) > 12 ( divide both sides by 4 )

p - 4 > 3 ( add 4 to both sides )

p > 7

The tool that ensures greater accuracy by aligning the numbers scale with the edges or points to be measured is a Vernier caliper.

A Vernier caliper is a tool used to accurately measure small lengths, widths, and diameters with precision. It has two parts: an outer frame and a sliding vernier scale. The frame is used to place the object to be measured, while the vernier scale is moved along the frame to measure the object's length.

The graduations on the vernier scale are smaller than the main scale graduations, allowing for more precise measurements to be made. This makes the Vernier caliper a more accurate measuring tool than a standard ruler or tape measure.

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Answer:

a) 3

Step-by-step explanation:

3+10= 13

hope this helped :)

Answer:

A. 3

Step-by-step explanation:

? + 10 = 13

? = 13 - 10

? = 3