А
is a number written with a variable to indicate the product of the number and the variable in a term.

The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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Answer:

12

Step-by-step explanation:

if one group has 4,and there are a total of 16,

16-4=12.

In each identical group, there are 6 each.

The normal to the parabola\(z = x^2 + y^2\) at the point (3, 3, 18) intersects the parabola again at the point (-1/3, -1/3, 20).

To find the normal to the paraboloid\(z = x^2 + y^2\) at points (3, 3, 18), we first need to find the slope of the surface at that point. The gradient vector is given by

\(∇f(x,y,z) = < 2x, 2y, -1 >\)

So the gradient vector at points (3, 3, 18) is

∇f(3, 3, 18) = <6, 6, -1>

This gradient vector is orthogonal to the plane tangent to the surface at the point (3, 3, 18). So the surface normal at this point is parallel to the gradient vector and can be expressed as

x = 3 + 6t

y = 3 + 6t

z = 18 - t

To discover where this line converges the parabola once more, we ought to substitute the x, y, and z equations into the parabola's condition. 

\(z = x^2 + y^2\)

So it looks like this:

\(18 - t = (3 + 6t)^2 + (3 + 6t)^2\)

\(18 - t = 18t^2 + 36t + 18\)

\(0 = 18t^2 + 37t\)

t=0 or t=-37/18

The value t = 0 corresponds to the starting point (3, 3, 18), so we are interested in the second value t = -37/18. Substituting this value into the normal equation gives:

x = 3 + 6(-37/18) = -1/3

y = 3 + 6(-37/18) = -1/3

z=18-(-37/18)=360/18=20

therefore, the normal to the parabola \(z = x^2 + y^2\) at the point (3, 3, 18) intersects the parabola again at the point (-1/3, -1/3, 20). 

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Answer: Substitute the vales for the variables: (3/2)(4/1)-3+(5/3)(3/1) Follow PEMDAS rules. Multiply first. (3/2)(4/1)=12/2 =6 (5/3)(3/1)=15/3=5. So, the expression is now: 6-3+5. Now, add and subtract from left to right. 6-3+5 = 3+5

Step-by-step explanation:sorry if I’m wrong but I’m big brain

The break-even point is 1100 products sold. This means that if the store can sell 1100 products, it will be able to cover its costs and make a profit.

What is average ?

The average is a measure of central tendency that is calculated by adding a set of values together and dividing the sum by the number of values. It is also known as the arithmetic mean. It is a way to represent a typical value of a dataset.

The break-even point is the point at which the cost of the products equals the revenue from the sales of the products. To find the break-even point, we need to set the cost function (C(x) = 550 + 3.00x) equal to the revenue function (R(x) = 5.50x) and solve for x.

C(x) = 550 + 3.00x = R(x) = 5.50x

3.00x = 5.50x - 550

0.50x = 550

x = 1100

So the break-even point is 1100 products sold. This means that if the store can sell 1100 products, it will be able to cover its costs and make a profit.

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if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.

The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.

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Answer:

10. x=3 and y=0

11. Infinitely many solutions.

12. No solutions.

13. x=3/2 and y=-12

14. Infinitely many solutions

15. x=0 and y=−2

Step-by-step explanation:

I just solved them by solving the top part first then the bottom part, I can not put in the actual steps because it takes up way to much space

The point (0, 4) is on the graph of the function y = 8x + 4.

What is the graph of a function?

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function is a special case of the graph of an equation.

The point on the graph of the function y = 8x + 4 depends on the values of x that you plug into the equation.

For any value of x, you can find the corresponding y-value using the equation.

For example:

x = 0, y = 8 * 0 + 4 = 4

So the point (0, 4) is on the graph of the function y = 8x + 4.

Similarly, for any other value of x, you can plug it into the equation and find the corresponding y-value to determine the point on the graph of the function.

Hence, the point (0, 4) is on the graph of the function y = 8x + 4.

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Answer:

If y = 60 then x = 25

Step-by-step explanation:

You know that when y = 12 then x = 5

So when y = 60, x = 25

The reason for this is because 12 * 5 = 60.

Which means that since the y = 12 was multiplied by 5, the x = 5 should be multiplied by 5 too.

Since 5 * 5 = 25, then we know that if y = 60, then x will equal 25.

Hope this helped! :D

The probbaility that the sample conatins at least one green ball is 0.90.

Let E be the event that denotes that the sample conatins at least one green.

According to the given question.

Total number of balls in an urn = 11 + 5 = 16

Total number of white balls = 11

Total number so green balls = 5

Now, the number of ways of selecting 7 balls from 16 balls

= \(^{16} C_{7}\)

= 16!/(7!9!)

= 11440

And the total number of ways of selecting 7 balls which contain atleast on green ball = \(^{11} C_{6} \times \ ^{5} C_{1} + ^{11} C_{5} \times \ ^{5} C_{2} + ^{11} C_{4} \times \ ^{5} C_{3} +^{11} C_{3} \times \ ^{4} C_{4}+^{11} C_{2} \times \ ^{5} C_{5}\)

= \(\frac{11!}{6!5!} \times \frac{5!}{1!4!} +\frac{5!}{2!3!} \times\frac{11!}{5!6!} +\frac{11!}{7!4!} \times\frac{5!}{3!2!} +\frac{11!}{8!3!} \times\frac{4!}{4!0!} +\frac{11!}{9!2!} \times\frac{5!}{0!5!}\)

= 452 × 5 + 10 × 452 + 330 × 10 + 165×1 + 55 ×1

= 2260 +  4520 +3300 + 165 + 55

= 10300

Thereofore, the probability that the sample conatins at least one green ball is given by

P(E) = (total number of ways of selecting 7 balls which contain atleast on green ball) / (the number of ways of selecting 7 balls from 16 balls )

⇒ P(E) = 10300/11440

⇒ P(E) = 0.90

Hence, the probbaility that the sample conatins at least one green ball is 0.90.

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The total number of fishes present in the lake on my 1 is 840.

The given data for the question-

September is equivalent to a percentage of tagged fish in May.

3/42 = 60/x

x = 60 *42 / 3

x = 840

Thus, the total number of fishes present in the lake on my 1 is 840.

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(x + 1)2 and 2x + 1 are not inverse functions. To determine if (x + 1)2 and 2x + 1 are inverse functions, we need to first understand what inverse functions are. Inverse functions are two functions that undo each other. In other words, if we apply one function and then apply its inverse function, we get back the original input.

To find the inverse of a function, we switch the x and y variables and solve for y. So, let's start with (x + 1)2. We can rewrite this as (x + 1) * (x + 1), which gives us x2 + 2x + 1. To find the inverse function, we switch x and y and solve for y:

x = y2 + 2y + 1
x - 1 = y2 + 2y
x - 1 = y(y + 2)
y = (-2 ± √(4x - 7))/2

This gives us two possible inverse functions. However, neither of them is the same as 2x + 1. Therefore, (x + 1)2 and 2x + 1 are not inverse functions.

In summary, to determine if two functions are inverse functions, we need to find the inverse of one function and check if it matches the other function. In this case, we found that the inverse of (x + 1)2 does not match 2x + 1, so they are not inverse functions.

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Here is ur answer

- BRAINLIEST answerer

5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)know i need points

Step-by-step explanation:

hi

Answer:

*View attached graph*

Step-by-step explanation:

Graph those points on your coordinate plane

Hope this helps!

Answer:

13 times

Step-by-step explanation:

lol, I actually did this right now. I got 13 times for both coins being heads, 9 times for each coin being tales, and exactly 30 times both were uneven. I hope this helps :)

The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.

The above statement is True.

Eigenvalue:

An eigenvalue is a special set of scalar values ​​associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.

According to the Question:

If the geometric multiple of the eigenvalues ​​is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.

Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is

Ax = λx.

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The solution is (5 + °) ((2 + 3t²)² / 12) + C for the indefinite integral.

A key idea in calculus is an indefinite integral, commonly referred to as an antiderivative. It symbolises a group of functions that, when distinguished, produce a certain function. The integral symbol () is used to represent the indefinite integral of a function, and it is usually followed by the constant of integration (C). By using integration techniques and principles, it is possible to find an endless integral by turning the differentiation process on its head.

The expression for the indefinite integral with the terms 2 5+°, ( ) 3t?, 2 + 3t 2, and dt is given by;\(∫ 2(5 + °) (3t² + 2) / (2 + 3t²) dt\)

To solve the above indefinite integral, we shall use the substitution method as shown below:

Let y = 2 + \(3t^2\) Then dy/dt = 6t, from this, we can find dt = dy / 6t

Substituting y and dt in the original expression, we have∫ (5 + °) (3t² + 2) / (2 + 3t²) dt= ∫ (5 + °) (1/6) (6t / (2 + 3t²)) (3t² + 2) dt= ∫ (5 + °) (1/6) (y-1) dy

Integrating the expression with respect to y we get,(5 + °) (1/6) * [y² / 2] + C = (5 + °) (y² / 12) + C

Substituting y = 2 +\(3t^2\) back into the expression, we have(5 + °) ((2 + 3t²)² / 12) + C

The solution is (5 + °) ((2 + 3t²)² / 12) + C.

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Answer:

1 2/3, and -1 2/3

Step-by-step explanation:

Im wondering how old you are, and since you seem young just based off the math you're asked to do, please listen to the explanation and teach yourself this. This skill in particular is SOOO important to the rest of the math world. So since your number line is already divided into thirds, there are two ways you could find your answer. One, you can count 5 thirds away from zero, or two, you could simplify 5/3 from an improper fraction to a mixed number (1 2/3) and find your spot from there. "and the opposite" means not only the point 5/3 Away from zero on the Right, but also 5/3 away from zero on the Left. start from zero again and count the same amount away but in the opposite direction. With negatives it can help to think of how all numbers are just descriptions of how far left or right a number is from zero. i hope this helped lol, negatives are a confusing batch, but they're so so important to math as a whole.

Answer:

41.11m

Step-by-step explanation:

You're looking for the hypotenuse of a right triangle, so you'll use the pythagorean theorem of a^2 + b^2 = c^2. And here, you're looking for c^2

(18)(18) + (36)(36) = c^2

324 + 1296 = c^2

1690 = c^2

c = square root of 1690 = 41.1096095, round to 41.11

Answer:

41.11

Step-by-step explanation:

Let's use algebra to find out what is 15% of Z.We know that percent means "per hundred," or "out of 100".

Therefore, 15% can be represented in fraction form as `15/100` or in decimal form as `0.15`.

So, if we want to find out what is 15% of Z,

we can use the following equation:`0.15Z`Or, we can also express it as:`15/100 * Z`

Both of these expressions are equivalent and represent what is 15% of Z using algebra.

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If an inequality contains the less than symbol (<) or greater than symbol (>), its graph would be a dotted or dashed line.

This is because these symbols indicate that the boundary line is not included in the solution set. For example, the inequality x > 3 would have a dotted line at x = 3, indicating that 3 is not included in the solution set. On the other hand, if the inequality contains the less than or equal to symbol (≤) or greater than or equal to symbol (≥), its graph would be a solid line.

This is because these symbols indicate that the boundary line is included in the solution set. For example, the inequality y ≤ 2 would have a solid line at y = 2, indicating that 2 is included in the solution set.

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Answer:

a: 34%

b: couldn't find the answer

Step-by-step explanation:

first we put the radius as r

we know surface area is 4pirsquared

so then we minus percent which is 119 so it is 81/100

square that fraction which will result 6561/10000

now we put in and equation of 4pirsquared -4pirsquared multiply 6561/10000 divide this all by 4pirsquared to get 3439/10000 or 0.3439 change it to %

34.39%

The correct answers for both the part of the problem is given as, (a) 41.61% and (b) 73.2%.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The given relation for the surface area A and radius r can be written as,

A ∝ r²

(a) Suppose the new radius be r'.

As per the question r' = r + 19% of r

                                    = r + 19/100 × r

                                    = 1.19r

As per the relation A ∝ r², the new area A' is,

A' ∝ r'²

=> A' ∝ (1.19r)²

=> A' ∝ 1.4161r²

=> A' = 1.4161A

Thus, increase in area is 41.61%.

(b) When the area is tripled,

A' = 3A

Use the relation A ∝ r² to get,

r'² = 3r²

=> r' = √3r

=> r' = 1.732r

Thus, increase in the radius is 73.2%

Hence, the area increases by 41.61% and the radius by 73.2% for both the cases.

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The slope (m) of the line is 19 and the y-intercept (b) is -4. The equation of the line can be expressed as y = 19x - 4.

The slope (m) of a straight line can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

Using the given points (3, 53) and (5, 91), we can substitute the values into the formula:

m = (91 - 53) / (5 - 3)

m = 38 / 2

m = 19

Therefore, the slope (m) of the straight line is 19.

To determine the y-intercept (b), we can use the slope-intercept form of a linear equation:

y = mx + b

where m is the slope and b is the y-intercept.

Using the point (3, 53) and the slope we just calculated (m = 19), we can substitute the values into the equation:

53 = 19(3) + b

53 = 57 + b

Now, solving for b:

b = 53 - 57

b = -4

Therefore, the y-intercept (b) of the straight line is -4.

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Answer:

28:32

Step-by-step explanation:

The average speed of the tsunami was approximately 496.45 km/hr.

To find the average speed of the tsunami, we need to know the distance it traveled (7546 kilometers) and the time it took to travel that distance (15 hours and 12 minutes).

First, we need to convert the time to a single unit of measurement. For this calculation, we'll use hours. To do this, we'll convert the minutes to hours:

15 hours + 12 minutes ÷ 60 minutes/hour

= 15.2 hours

Next, we can divide the distance traveled by the time it took:

7546 km ÷ 15.2 hours

= 496.45 km/hr

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Answer:d. 6500

Step-by-step explanation:

Answer: D)$6500

Step-by-step explanation: took the quiz

Answer:

3,2

No explantation needed,

Cost of 1 shirt=$7.5 and 1 pant cost=$18.5

A linear equation is an equation where the optimal strength of the variables is usually unity. 1 Diploma Also known as the equation. The trend form of a single-variable linear equation is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant. The trendy form of linear equations in variables is of the form Ax + By = C. where x and y are variables, A and B are coefficients, and C is a constant. 

Now for the given Question:

Let the cost of shirt and pant be x and y respectively.

Then the linear equations will be;

3x+5y=115          (1)

4x+3y=85.5        (2)

Now we will balance the coefficient of x in both the equation so

multiplying equation 1 and 2 with 4 and 3 respectively then the equations become,

12x+20y=460          (3)

12x+9y=256.5          (4)

subtracting equation 4 from 3 we get

11y=203.5

y=203.5/11

y= $18.5

substituting above value of y in equation 1 we get

4x+5*18.5=85.5

4x+55.5=85.5

4x=85.5-55.5

4x=30

x=30/4

x=$7.5

Hence cost of shirt and pant are $7.5 and $18.5 respectively.

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