draw the circles (x-4)^2 + (y-5)^2 = 16

Answer:

Alex's circular, fenced-in section has an area of 390 m².

Step-by-step explanation:

Its a circle based fence which has circumference of 70 meters.

so here 2πr = 70

            radius = (70/2π)

            radius = 11.14 meters.

so here area: πr²

                  →  π * 11.14 * 11.14

                  →   390 m²

Answer:

\(x=-5\frac{1}{3}\)

Step-by-step explanation:

36 - 5x = 7x + 48

3x - 5x + 5x = 7x + 5x + 48

3x = 12x + 48

3x - 12x = 12x - 12x + 48

- 9x = 48

- 9x ÷ - 9 = 48 ÷ - 9

\(x=-5\frac{1}{3}\)

If you  deposit $5,000 in a savings account and will earn 6. 5% simple interest over the first 10 years, then will earn $3,250 in interest over the 10-year period

Simple interest is a type of interest that is calculated only on the principal amount of an investment, and not on any interest that has been earned previously. It is typically expressed as a percentage of the principal amount and is applied over a fixed period of time.

To calculate the interest earned on the account over the 10-year period, we can use the formula for simple interest:

Interest = Principal x Rate x Time

Here, the principal is $5,000, the interest rate is 6.5%, and the time is 10 years.

Plugging in the values, we get:

Interest = $5,000 x 0.065 x 10

Interest = $3,250

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The given question is incomplete, the complete question is:

Big Money Bank has an offer for new customers: if you deposit $5,000 in a savings account, you will earn 6.5% simple interest over the first 10 years. How much interest will the account earn over this period?

Answer:

Parallel line: - 1/2

Perpendicular line: 2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

It is weak

Step-by-step explanation:

It is weak, so that means the answer is C. It is weak because it is

The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.

Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.

Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.

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Answer:

The first one is B, the second is A

Step-by-step explanation:

For a polynomial to be in standard form, it needs to have the exponents decreasing from left to right. In order from left to right, B goes 7,3,2,1,0, hence it is in standard form.

A polynomial cannot have a fractional exponent, hence a is not a polynomial.

Answer:

5(2^x)

Step-by-step explanation:

Every polynomial function of odd degree with real coefficients will have at least one real root or zero.

This statement is known as the Fundamental Theorem of Algebra. It states that a polynomial of degree n, where n is a positive odd integer, will have at least one real root or zero.

The reason behind this is that when a polynomial of odd degree is graphed, it exhibits behavior where the graph crosses the x-axis at least once. This implies the existence of at least one real root.

For example, a polynomial function of degree 3 (cubic polynomial) with real coefficients will always have at least one real root. Similarly, a polynomial function of degree 5 (quintic polynomial) with real coefficients will also have at least one real root.

It's important to note that while a polynomial of odd degree is guaranteed to have at least one real root, it may also have additional complex roots.

The Fundamental Theorem of Algebra ensures the existence of at least one real root but does not specify the total number of roots.

In summary, every polynomial function of odd degree with real coefficients will have at least one real root or zero, as guaranteed by the Fundamental Theorem of Algebra.

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Among the given options, the equation that does NOT represent a line perpendicular to the line 8x-4y=1 is option D: y = -1/2x.

To determine if a line is perpendicular to another line, we need to compare their slopes.

Two lines are perpendicular if and only if the product of their slopes is -1.

The given line, 8x-4y=1, can be rewritten in slope-intercept form as y = 2x - 1.

The slope of this line is 2.

Let's analyze each option:

A. x + 2y = 7: This equation can be rewritten as y = -1/2x + 7/2.

The slope of this line is -1/2.

The product of the slopes (-1/2 * 2) is -1, indicating that this line is perpendicular to the given line.

B. 4x - 8y = 1: Dividing by 4 and rearranging the equation, we have y = 1/2x - 1/8.

The slope of this line is 1/2.

The product of the slopes (1/2 * 2) is 1, which means this line is not perpendicular to the given line.

C. y - 4 = -1/2(x + 8): Simplifying the equation, we get y = -1/2x - 6.

The slope of this line is -1/2.

The product of the slopes (-1/2 * 2) is -1, indicating that this line is perpendicular to the given line.

D. y = -1/2x: The slope of this line is -1/2.

However, the product of the slopes (-1/2 * 2) is not -1, indicating that this line is not perpendicular to the given line.

Therefore, the equation that does NOT represent a line perpendicular to the line 8x-4y=1 is option D: y = -1/2x.

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The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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Answer:

Step-by-step explanation:

\(\angle 2,\angle AEG, \angle GEB\)

Answer:

d

Step-by-step explanation:

because there is a closed dot at -4 you use the one with a line under it showing it is included and because there is open at 4 you use one without a line to show it is not included

Answer:

16

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

2 x 7 = 14

Number should be in between 26 and 31

So,

14 x 2 = 28

28 has one of its prime factors as 2 and 7.

Hence,

28 is the number which is in between 26 and 31 it has the prime factors of 2 and 7.

Answer:

Step-by-step explanation: Given prime factors: 2, 7

 By multiplying, 2 X 7= 14

 Given, number is between 26 and 31

       therefore, 14 X 2= 28 (since 2 is a prime factor)

        ans: 28

Answer:

5

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    u-(5)=0

Step by step solution :

STEP

1

:

Solving a Single Variable Equation:

1.1      Solve  :    u-5 = 0

Add  5  to both sides of the equation :

                     u = 5

Answer:

I think it is .000000063

(7 zeros behind the decimal.)

Hope this helps!!!

Step-by-step explanation:

pls mark Brainliest

Answer:

B. 3/5 is correct.

Step-by-step explanation:

P(A or B) is the number of students within either set (circle) divided by the total number of students (10).

There are 6 students (3+1+2)  in the sets, so

P(A or B) = 6/10 = 3/5

Answer B. 3/5 is correct.

The value of P(A or B) from the Venn diagram is 2/5.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

Event A = Students that play basketball

Event B = Students that play Soccer

Now,

From the Venn diagram,

P(A) = 3/10

P(B) = 2/10

P(A ∩ B ) = 1/10

Now,

P(A or B) = P(A U B ) = P(A) + P(B) - P (A ∩ B)

So,

P(A U B )

= P(A) + P(B) - P (A ∩ B)

= 3/10 + 2/10 - 1/10

= (3 + 2 - 1) / 10

= 4/10

= 2/5

Thus,

The value of P(A or B) is 2/5.

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When t = -2, the value of x is -4, where x is defined as x = 2t.

To determine the value of the function x in terms of t and evaluate it at a given value of t, we need to substitute the given value of t into the function and calculate the result. In this case, we have x = 2t and y = t^3. We want to find the value of x when t is equal to -2.

Substituting t = -2 into the function x = 2t:

x = 2(-2)

x = -4

Therefore, when t = -2, the value of x is -4. It's important to note that we are only evaluating the value of x at t = -2, not finding a general expression for x in terms of t. This process involves substituting the given value into the expression for x to find the specific value at that point.

Therefore, when t = -2, the value of x is -4.

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After using the formula for the sum of an infinite geometric series, we conclude that the given infinite series does not converge to 1.

To prove that the infinite series ∑(i=1 to ∞) 2^(i-1) equals 1, we can use the formula for the sum of an infinite geometric series.

The sum of an infinite geometric series with a common ratio r (|r| < 1) is given by the formula:

S = a / (1 - r)

where 'a' is the first term of the series.

In this case, our series is ∑(i=1 to ∞) 2^(i-1), and the first term (a) is 2^0 = 1. The common ratio (r) is 2.

Applying the formula, we have:

S = 1 / (1 - 2)

Simplifying, we get:

S = 1 / (-1)

S = -1

However, we know that the sum of a geometric series should be a positive number when the common ratio is between -1 and 1. Therefore, our result of -1 does not make sense in this context.

Hence, we conclude that the given infinite series does not converge to 1.

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Answer:

You got the answer already but whatever

50.41 and 51.84

Step-by-step explanation:

Like you already have the answer up there.

Answer:

The answer is the second option

Step-by-step explanation:

V=Bh

Answer: 3 1/2 units^3

Step-by-step explanation:

Use the formula V = lwh to find the volume.

V = (2) (1) (7/4)

V = 2 (7/4)

V = 7/2 or 3 1/2 cubic units

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Answer:

Corn Beef = x

Creamed Chipped beef = y

Jan:

2x + 3y = 4.95

Wayne:

3x +2y = 5.95

Graph two equation and find the point where two lines cross and that will be solution.

Point where two lines cross: (1.29, 0.79)

Corn Beef = $1.29

Creamed Chipped Beef = $0.79

Step-by-step explanation:

Answer:

  10 pounds

Step-by-step explanation:

You want to know the number of pounds of peanuts in a mix of $5/lb peanuts and $6/lb almonds that gives 14 pounds of nuts for $74.

Let p represent the number of pounds of peanuts in the mix. The (14-p) is weight of almonds, and the total cost is ...

  5p +6(14 -p) = 74

Simplifying the equation gives ...

  -p +84 = 74

  10 = p . . . . . . . . add p-74

You should buy 10 pounds of peanuts to make the 14 lb bag cost $74.

__

Additional comment

You notice that simplifying the equation gives p a negative coefficient. If you choose the variable to represent the more expensive contributor, then the coefficient of that comes out positive. (We like positive coefficients, as they tend to reduce errors.)

Here, the problem is requesting the amount of the lower cost contributor, so we used the variable to represent that.

Often, you are asked to solve mixture problems using a system of equations. Those would use a variable for each of the quantities, and the equations would be ...

You notice that substituting for 'a' gives the equation we used above.

Jumping directly to this step saves a bit of written work, though the mental work is the same.

The area in square km of a square field 4 cm² is given as follows:

1 km².

The area is obtained applying the proportions in the context of the problem.

The scale is of:

1 cm : 50000 cm -> 1 cm = 0.5 km, as 1 cm = 10^-5 km.

Hence, for the areas, in square units, the scale is obtained squaring both sides, as follows:

(1 cm)² = (0.5 km)²

1 cm² = 0.25 km².

Meaning that the area of the square field is of:

4 x 0.25 = 1 km².

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Answer:a relation between elements of a set that is reflexive, symmetric, and transitive. It thus defines exclusive classes whose members bear the relation to each other and not to those in other classes

Step-by-step explanation:

An equivalence relation is a type of relation that satisfies three conditions: reflexivity, symmetry, and transitivity.

An equivalence relation is often used to partition a set into equivalence classes, where all the elements in an equivalence class are related to each other.

For example, if we have an equivalence relation on the set of integers where two integers are related if they have the same remainder when divided by 3, then we have three equivalence classes: the set of integers that have a remainder of 0, the set of integers that have a remainder of 1, and the set of integers that have a remainder of 2.

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The FV is $107 for the simple interest.

The formula to calculate simple interest is given as:

I = P × R × T

Where,I is the simple interest, P is the principal or initial amount, R is the rate of interest per annum, T is the time duration.

Formula to find FV:

FV = P + I = P + (P × R × T)

where,P is the principal amount, R is the rate of interest, T is the time duration, FV is the future value.

Given that P = $100, R = 7%, and T = 1 year, we can find the FV of the investment:

FV = 100 + (100 × 7% × 1) = 100 + 7 = $107

Therefore, the FV of $100 invested at 7% for one year (simple interest) is $107.

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Answer:

-8n + 8

Step-by-step explanation:

To simplify this expression, we will use the distribution property and distribute -8 through the parenthesis :

-8(n - 1)

-8 * n - 8 * - 1

-8n + 8

Therefore, the answer is -8n + 8

Answer:

24 ft^2

Step-by-step explanation:

just multiply 4 by 3 by 2

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