A circle divided into 6 parts. 1 part is shaded.
Which best describes the fraction represented by the shaded portion of the circle?

Since 1 of the 6 equal parts is shaded, the shaded portion represents One-sixth.
Since 1 of the equal parts is shaded and 5 are not shaded, the shaded portion represents One-fifth.
Since 5 of the 6 equal parts are unshaded, the shaded portion represents Five-sixths.
Since 5 of the equal parts are unshaded, the shaded portion represents Five-fifths.

Answer:

Danny

Step-by-step explanation:

danny has a better offer

We cannot solve the corresponding first-order linear ODE using this technique.

The method of integrating factors is a technique used to solve first-order linear ordinary differential equations (ODEs) of the form:

y'(x) + p(x) y(x) = q(x)

where p(x) and q(x) are continuous functions on some interval I. The idea of the method is to multiply both sides of the equation by an integrating factor, which is a function u(x) chosen to make the left-hand side of the equation the derivative of a product:

u(x) y'(x) + p(x) u(x) y(x) = u(x) q(x)

The goal is to choose u(x) so that the left-hand side of the equation is the derivative of u(x) y(x). If we can find such a function u(x), we can integrate both sides of the equation to obtain:

u(x) y(x) = ∫ u(x) q(x) dx + C

where C is a constant of integration.

Now, if we cannot find an explicit formula for u(x) or the integral ∫ u(x) q(x) dx, the method of integrating factors fails. In other words, we cannot use this technique to solve the ODE. This is because without an explicit formula for u(x), we cannot integrate both sides of the equation to obtain a solution for y(x).

For example, consider the following first-order linear ODE:

y'(x) + x^2 y(x) = x

We can see that p(x) = x^2 and q(x) = x. To apply the method of integrating factors, we need to find a function u(x) such that:

u(x) y'(x) + x^2 u(x) y(x) = x u(x)

We can see that u(x) = e^(x^3/3) is a suitable integrating factor, as it makes the left-hand side of the equation the derivative of e^(x^3/3) y(x). Multiplying both sides of the equation by e^(x^3/3), we obtain:

e^(x^3/3) y'(x) + x^2 e^(x^3/3) y(x) = x e^(x^3/3)

which is equivalent to:

(d/dx)(e^(x^3/3) y(x)) = x e^(x^3/3)

Integrating both sides with respect to x, we obtain:

e^(x^3/3) y(x) = ∫ x e^(x^3/3) dx + C

We can see that the integral on the right-hand side of the equation does not have an explicit formula, so we cannot find an explicit solution for y(x) using the method of integrating factors. In other words, the method fails in this case.

In conclusion, if we cannot compute an explicit formula for one or both of the integrals that appear in the method of integrating factors, we cannot solve the corresponding first-order linear ODE using this technique.

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Mathematical proofs are used to prove or disprove mathematical statements.

The theorems to use are:

From the question, we have: \(\triangle ABC\)

This means that, ABC is a triangle

Also, we have:

BP || AC

This means that lines BP and AC are parallel

So, the following angles are congruent by alternate angle theorem

The angles on a straight line add up to 180 degrees.

So, we have:

\(\angle 4 + \angle 1 + \angle 5 = 180\)

By substitution, the above equation becomes

\(\angle 2 + \angle 1 + \angle 3 = 180\)

Rewrite the equation as:

\(\angle 1 + \angle 2 + \angle 3 = 180\)

Hence, the statement that \(\angle 1 + \angle 2 + \angle 3 = 180\) has been proved

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There are 12 players of right handed, according to the question.

What do you mean by percentage?

A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.

According to data in the given question,

We have given data:

A local little league has a total of 60 players of whom 20% are right-handed.

Let x be the total number of players that are right-handed.

The value of x can be found as follow:

x = 20% of 60

x = (20/100)60

x = 0.2(60)

x = 12

Therefore, the total number of players that are right-handed is 12, if the local little league has a total of 60 players of whom 20% are right-handed.

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The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Given \(-6x-20\)

Proof that it is equal to the \(-2x + 4(1 - 3x)\) or not

\(-2x + 4(1 - 3x)\)

Distribute

\(-2x+ 4-12x\)

\(4-14x\)

Not equal to the \(-6x-20\) \(\neq\) \(4-14x\)

So, it is false

What is Distribute in math?

To "distribute" anything is to divide it up or to give someone a piece of it.

What does the mathematical distributive property mean then?

The distributive property is the distributive law of multiplication over operations in fundamental arithmetic, such as addition and subtraction.

Distributive property: What Is It?

This property states that multiplying the total of two or more addends by a number will provide the same outcome as multiplying each addend by the number separately and then adding the results together.

In other words, an expression of the type A (B + C) can be resolved as A (B + C) = AB + AC in accordance with the distributive property.

This characteristic also holds for subtraction.

A(B-C) = AB-AC

This demonstrates that the other two operands share operand A.

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Answer:

9240

Step-by-step explanation:

22

​

​

×

Vice President

21

​

​

×

Treasurer

20

​

​

Answer:

Step-by-step explanation:

9240

Answer:

3rd one

Step-by-step explanation:

y moves same amount for each x

Answer:

15 use a calculator it's easier

Answer:

The value of your equation would be 371/30

Step-by-step explanation:

Given tanθ=8/15 - -(1)

sec^2θ

= 1+tan^2θ

= 1+(8/15)^2

= 1+64/225

= 225+64/225

= 289/225

=17^2+15^2

Now, secθ = \(\sqrt{\frac{17^2}{15^2} }\)

= 17/15

Cosθ = 15/17 - -(2)

Value of sinθ+cosθ/cosθ(1-cosθ)

Dividing numerator and denominator by cosθ, we get

= sinθ+cosθ/cosθ/cosθ(1-cosθ)/cosθ

= (sinθ/cosθ+cosθ/cosθ)/(1-cosθ)

= tanθ - 1/1-cosθ

= 8/15 + 1/1-15/17

= 8+15/15/17-15/17

= 23/15/2/17

= 23/15 x 17/2

= 371/30

Hope this helps!

Answer:

\(\huge\boxed{\sf x = 83\°}\)

Step-by-step explanation:

So,

x + 53 + 44 = 180

x + 97 = 180

x = 180 - 97

\(\rule[225]{225}{2}\)

Answer:

x = 83

Step-by-step explanation:

You can apply the theory of euclidean triangle: all three measurements of a triangle sum up and equal to 180°.

Therefore, we sum three angles and set to 180°

\(\displaystyle{x^{\circ} + 44^{\circ} + 53^{\circ} = 180^{\circ}}\\\\\displaystyle{x^{\circ} + 97^{\circ} = 180^{\circ}}\)

Solve for x; subtract both sides by 97°:

\(\displaystyle{x^{\circ} + 97^{\circ}-97^{\circ}= 180^{\circ}-97^{\circ}}\\\\\displaystyle{x^{\circ} = 83^{\circ}}\)

Therefore, x = 83

Answer:

36

Step-by-step explanation:

2(10)+4^2

20+4^2

20+16

36

Answer: The result of the math formula =2*10+4^2 is 28.

To calculate this formula, you first need to perform the exponentiation operation of 4^2, which is 16. Then, you multiply 2 by 10, which gives you 20. Finally, you add 20 to 16, which gives you the final answer of 28.

Regression analysis asks a) how a single variable depends on other relevant variables. Regression analysis is a statistical approach that attempts to find a relationship between two variables. Hence, option a) is the correct answer.

The aim is to investigate how one variable depends on another or several other variables, as the case may be. It is used to understand and predict the relationships between variables that are not directly related. The technique can be used to test hypotheses about relationships between two or more variables.

The equation of the line is then used to predict the value of the dependent variable for any given value of the independent variable. Polynomial regression is used when the relationship between two variables is nonlinear. It is used to find the best-fit curve that passes through the data points. Multiple regression is used when there are two or more independent variables.

The goal is to find the best-fit line that passes through the data points in multidimensional space. Logistic regression is used when the dependent variable is dichotomous (binary). It is used to find the best-fit line that separates the two classes of data points.

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Answer:

n=-20

Step-by-step explanation:

\(0 = 4 + \frac{n}{5} \\ ⟶ 0 - 4 = \frac{n}{5} \\ ⟶ - 4 \times 5 = n \\ ⟶ - 20 = n\)

Answer:

-20

Step-by-step explanation:

Zero equals four plus n over 5

Solving for n:

Answer:

4.50

Step-by-step explanation:

2 KVD Frogs at 6 each is 12 dollars.

Total=48

48-12=36

36/8=4.50

The cashier giving him 2 dollars off is irrelevant.

Answer:

75 (approx.)

Step-by-step explanation:

Cross Products

Cross product of two non-collinear vectors is a third vector which is orthogonal to the first two. The magnitude of the cross product equals the area of a parallelogram having the two given vectors as sides.

The the cross product u x v of vectors u<u1,u2,u3> and v<v1,v2,v3> is the value of the determinant formed by the direction vector <i,j,k> and u, v :

i     j    k

u1 u2 u3

v1 v2 v3

which evaluates to

P = u x v = (u2*3 - u3*v2)i – (u1*v3 - v1*u3)j + (u1*v2 – v1*u2)k = <p1, p2, p3>

The magnitude, which equals the area of the parallelogram, is the norm of P

Area = ||P|| = sqrt(p1²+p2² +p3²)

Plugging in values,

u<-4,-9,1>

v<-6,1,5>

Cross product P=(-45-1)i+(20-6)j+(-54-4)k =<-46+14-58>

Magnitude = sqrt((-46)^2+(14)^2+(-58)^2) = 2sqrt(1419)=75.34 (approx.)

So the area of the parallelogram is 75.3 approx.

Answer:

Step-by-step explanation:

Answer:

The change was 4 and part b is 162

Step-by-step explanation:

Answer 1: 4 dollars

Answer 2: Total club size 162

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Answer 1:

No. of shares = 5

Total value down by = 20

share value of each stock goes down by = 20/5 = 4

Answer 2:

each week 9 new members added

Total weeks = 18

Total members at the end of 18 week = 18*9 = 162

therefore, total club size = 162

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Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Answer: The volume of the resulting solid is 288π/5 cubic units.

Step-by-step explanation:

First, we need to graph the region bounded by the curves.

The curve x=(y-9)^2 opens to the right and its vertex is at (9,0). The curve x=16 is a vertical line at x=16.

The region we want to rotate is between these two curves and above the x-axis. It is a horizontal strip with width 16 and height (y-9)^2.

To obtain the volume, we need to integrate the area of each slice as it rotates around the line y=5.

For a given y-value, the distance from the line y=5 to the curve x=(y-9)^2 is (y-5)-(y-9)^2. So the radius of the circular slice at height y is:

r(y) = (y-5) - (y-9)^2

The area of each circular slice is πr^2, where r is the radius of the slice. So the volume of the solid is:

V = ∫[5,13] πr(y)^2 dy

V = ∫[5,13] π[(y-5)-(y-9)^2]^2 dy

Using integration techniques, we can evaluate this integral to find:

V = 288π/5

Therefore, the volume of the resulting solid is 288π/5 cubic units.

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Answer:

i think it's 45

sorry if its wrong

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

The value of a is 9, and the value of b is 5. AB is a and b multiplied together, so you have 9(5), which is equal to 45.

the numerators are both negative, the answer will be a negative number. The numerator of the first fraction (-5) divided by the numerator of the second fraction (5) is -1. Multiply this answer by the common denominator (18) to get the final answer: -5/2.

To solve this fraction division problem, first convert the fractions to have a common denominator. To do this, multiply the denominator of the first fraction (-1/3) by the denominator of the second fraction (6), and the denominator of the second fraction (6) by the denominator of the first fraction (-1/3). This will change the fractions to -5/18 and 5/18, respectively.

Next, divide the numerators of the fractions. Since the numerators are both negative, the answer will be a negative number. The numerator of the first fraction (-5) divided by the numerator of the second fraction (5) is -1.

Multiply this answer by the common denominator (18) to get the final answer: -5/2.

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Answer:

CA ≈ 3.1 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{CA}\) = \(\frac{2.6}{CA}\) ( multiply both sides by CA )

CA × tan40° = 2.6 ( divide both sides by tan40° )

CA = \(\frac{2.6}{tan40}\) ≈ 3.1 ft ( to the nearest tenth )

Given:

44, 38, 21, 37, 48, 43, 28

To find the box-and-Visker plot representing the given data:

Let us write it in ascending order.

21, 28, 37, 38, 43, 44, 48.

The median of the given data is 38.

The median of the first three terms is 28.

The median of the last three terms is 44.

The lowest of the given data is 21.

The highest of the given data is 48.

Hence, the correct option c.