Find the distance between each pair of points (-4,4),(-7,7)​

Answer:

40

Step-by-step explanation:

The spinner gives you 5 choices.

The die gives you 8 choices

Answer: The total number of choices is 5* 8 = 40

it is saying that You spin a spinner with five equal spaces so, we have 5

roll an eight - sided die so, we have 8

then, it is saying that

How many possible outcomes are in the sample space

= 5 × 8

= 40

The largest number of rods that the pole can be cut into is 86.

Given:

Length of Metal Pole = 500 cm

The pole is cut into rods.

Length of each rod = 5.8 cm

To determine the number of rods we can divide the total length of the pole by the length of each rod.

Number of rods that the pole can be cut into = (Length of Metal Pole) ÷ (Length of each rod )

⇒ Number of rods = 500 ÷ 5.8 = 86.2 ≈ 86

Therefore, the largest number of rods that the pole can be cut into is 86.

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Answer:

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children. 1.

Step-by-step explanation:

Hope this helps

Answer:

\({ \tt{0.48 \times 1594.3 = 765}}\)

Answer: 800

Answer:

1000

Step-by-step explanation:

Rounding 0.48 ≈ 0.5 ( to 1 significant figure )

Rounding 1594.3 ≈ 2000 ( to 1 significant figure ) , then

0.5 × 2000 = 1000

Answer:

60 minutes is 20% of 300 minutes

Step-by-step explanation:

let x be the number of total minutes

60 = 20% of x

20% = 1/5

60 = 1/5x

multiply both sides by 5

300 = x

x = 300 minutes

The required simplified solution of the given expression is (√2 + √5).

Given that, to simplify the expression √3(√6+√15).

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= √3(√6+√15)
= √3×√6 + √3 ×√15
= √3×√3×2 + √3 ×√3×5
= √3×√3(√2 + √5)
= 3(√2 + √5)

Thus, the required simplified solution of the given expression is (√2 + √5).

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Answer:

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

west and north are positive

east and south are negative

so you add them up

Therefore, the measure of the third angle in this isosceles triangle is 60 degrees.

By definition, an isosceles triangle has two sides of equal length, and in this case, two congruent base angles. The third angle, which is not part of the base, is opposite the third side of the triangle.

Since the sum of the measures of the angles in any triangle is always 180 degrees, we can use this fact to find the measure of the third angle in the isosceles triangle. We know that one of the base angles measures 60 degrees, and since the other base angle is also congruent, it also measures 60 degrees. Therefore, the total measure of the base angles is 60 degrees + 60 degrees = 120 degrees.

To find the measure of the third angle, we subtract the sum of the base angles from 180 degrees:

Third angle = 180 degrees - (60 degrees + 60 degrees)

Simplifying this expression gives:

Third angle = 60 degrees

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Answer:

Step-by-step explanation:

n

nnn,'

The solution of the equation x^ay! + 5xy + (4 + x)y = 0, where x > 0, can be represented as a power series of the form y = ΣCnx^n, where C0 = 1 and Cn = 0 for n = 1, 2, 3, ...

To find the solution of the equation x^ay! + 5xy + (4 + x)y = 0, we can represent the solution as a power series expansion of the form y = ΣCnx^n, where Cn is the coefficient of x^n and n ranges from 0 to infinity. Plugging the power series into the equation, we get:

x^a*(ΣCnx^nn!) + 5x*(ΣCnx^n) + (4 + x)(ΣCn*x^n) = 0

We can then collect the terms with the same powers of x:

ΣCnx^(n+a)n! + Σ5Cnx^(n+1) + Σ(4 + x)Cnx^n = 0

For the equation to hold true for all powers of x, each term with the same power of x must be zero. Therefore, we can determine the coefficients Cn for each power of x. For n = 0, the term ΣCnx^a0! simplifies to C0x^a0! = C0*x^a. Since the equation must hold for all x > 0, the coefficient C0 must be non-zero. Therefore, C0 = 1. For n = 1, the term Σ5Cnx^2 simplifies to 5C1x^2 = 0. Therefore, C1 = 0. Similarly, for n = 2, 3, 4, ... , the terms involving Cn will also be zero, as they are multiplied by powers of x. Hence, the solution of the equation x^ay! + 5xy + (4 + x)y = 0 can be represented as y = C0x^a = x^a, where a is a positive real number, and the coefficients Cn are zero for n = 1, 2, 3, ....

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Answer:

107

Step-by-step explanation:

Answer:

107.

Step-by-step explanation:

99

+8

------

107

Please mark as brainliest!

The probability that at least two people will meet is:

1 - [(60 choose n+1)] / (60^n)

To calculate the probability that at least two people will meet at the restaurant, we can use the complement rule. That is, we can find the probability that no two people will meet and subtract this value from 1.

Let's assume that there are n people arriving at the restaurant randomly between 7 and 8 PM. Since each person waits for exactly 15 minutes, their arrival time can be modeled by a uniform distribution with a mean of 7:30 PM and a standard deviation of 2.5 minutes.

To calculate the probability that no two people will meet, we can use the concept of non-overlapping intervals. If we divide the one-hour time interval from 7 to 8 PM into n+1 subintervals, then each person will arrive in one of these subintervals. For no two people to overlap or meet, each person must arrive in a different subinterval.

The number of ways to choose n+1 non-overlapping subintervals out of 60 (the number of minutes in an hour) is given by the following formula:

(60 choose n+1)

Therefore, the probability that no two people will meet is:

[(60 choose n+1)] / (60^n)

Using the complement rule, the probability that at least two people will meet is:

1 - [(60 choose n+1)] / (60^n)

As n increases, the probability of at least two people meeting also increases. For example, when n=10, the probability of at least two people meeting is approximately 0.12. When n=20, the probability increases to approximately 0.41.

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Here using the length of square, it is obtained that

Annie walked 14 blocks in total.

What is a square?

Square is a two dimensional four sided figure.

Here,

Length of each side of one square = 1 block

From Annie's home to the supermarket, Annie will have to walk 1 block

From Supermarket to pet store, Annie will have to walk 1 block straight and then 2 blocks to the left

From pet store to the fruit vendor, Annie will have to walk 1 block straight and then 2 blocks to the left

Total number of blocks walked by Annie from home = 1 + 1 + 2+ 1 + 2

                                                                                        = 7 blocks

Total number of blocks walked by Annie while returning  home

                                                                                        = 1 + 1 + 2+ 1 + 2

                                                                                        = 7 blocks

Total number of blocks walked by Annie = 7 + 7 = 14 blocks

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Complete Question

The figure has been attached

Your answers are correct! Well done!

Answer: x = ±3

Step-by-step explanation:

To solve the quadratic equation x^2 - 9 = 0, we can use the square root property of equality.

Adding 9 to both sides of the equation, we get:

x^2 = 9

Taking the square root of both sides, we get:

x = ±√9

Simplifying the square root of 9, we get:

x = ±3

Therefore, the solution set for the quadratic equation x^2 - 9 = 0 is {3, -3}.

Answer:

Graph A.

because it bends at an angle and doesn't curve makes it a non-function

Answer:

D is not a function

Step-by-step explanation:

To find if a graph is a function draw vertical lines on the graph, if no vertical lines intersect through the graph more than once point then its a function.

Step-by-step explanation:

Find the rule:

2, -6, 18, ...

To get to -6, multiply by -3.

To get to 18, multiply by -3.

The rule is to multiply by -3.

Find the 7th term:

Multiply 18 by -3.

\(-18 \times 3 = -54\)

-54 is the 4th term.

Multiply -54 by-3.

\(-54 \times -3 = 162\)

162 is the 5th term.

Multiply 162 by -3.

\(162 \times -3 =-486\)

-486 is the 6th term.

Multiply -486 by -3.

\(-486 \times -3 = 1458\)

1458 is the 7th term.

Given:

The first 10 GB of data costs $3 per GB.

After exceeds 10 GB, the company charges $15 for each GB.

Required:

We need to find the function for the given situation.

Explanation:

Let x be the number of GB that "Demetrius' used.

Let f(x) be the cost.

The first 10 GB of data costs $3 per GB.

After exceeding 10 GB, the company charges $15 for each GB

Final answer:

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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Answer:

irrational because root3/root64=root3/

Step-by-step explanation:

Irrational probally I’m guessing my brother!

Answer:

For the Midwest region, the proportion of sales from new stores is approximately 15%. Because the proportion is notably different from the sales director's statistical model, the data is inconsistent with the model.

Answer 2:

For the South region, the proportion of sales from current stores is approximately 63%. Because this proportion is notably different from the sales director’s statistical model, the data is inconsistent with the model.

Answer 3:

Based on the first month's data, the proportion of sales from new stores in the Midwest region is 15%, which is far from the company's goal of 25%. However, in the South region, the proportion of sales from new stores is not available.

It is unclear whether additional training is necessary for all of the sales representatives based solely on the first month's data. It may be necessary to collect more data over a longer period to determine whether additional training is necessary.

Step-by-step explanation:

The dishonest shopkeeper marks his goods with a 40% markup and offers a 25% discount to customers. The profit earned by the shopkeeper on this particular item is $105 - $100 = $5.

Let's consider the cost price of an item to be $100. The shopkeeper marks it up by 40%, which results in a selling price of $140. However, the shopkeeper then offers a 25% discount on this inflated price, bringing the price down to $105.

Now, regarding the weight manipulation, the shopkeeper falsely claims that the weight of the item is 1kg. However, in reality, it weighs only 800g. Since the selling price is determined based on weight, the customer is paying the price of 1kg while receiving only 800g of the item.

To calculate the profit, we need to subtract the cost price from the selling price. The selling price, taking into account the discount and weight manipulation, is $105. The cost price is $100. Hence, the profit earned by the shopkeeper on this particular item is $105 - $100 = $5.

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The area of the regular octagon inscribed in a circle with a radius of 16 feet can be found using the formula A = (2 + 2sqrt(2))r^2, where r is the radius of the circle. Plugging in the value for r, we get:

A = (2 + 2sqrt(2))(16)^2

A = (2 + 2sqrt(2))(256)

A = 660.254 ft^2

Therefore, the area of the regular octagon is approximately 660.254 square feet.

To derive the formula for the area of a regular octagon inscribed in a circle, we can divide the octagon into eight congruent isosceles triangles, each with a base of length r and two congruent angles of 22.5 degrees. The height of each triangle can be found using the sine function, which gives us h = r * sin(22.5). Since there are eight of these triangles, the area of the octagon can be found by multiplying the area of one of the triangles by 8, which gives us:

A = 8 * (1/2)bh

A = 8 * (1/2)(r)(r*sin(22.5))

A = 4r^2sin(22.5)

We can simplify this expression using the double angle formula for sine, which gives us:

A = 4r^2sin(45)/2

A = (2 + 2sqrt(2))r^2

Therefore, the formula for the area of a regular octagon inscribed in a circle is A = (2 + 2sqrt(2))r^2.

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The change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

To quantify the change in the area of the surface of a cube when its side length triples from s units to 3s units, we can set up an integral.

Let's denote the side length of the cube as "x". The initial side length is "s" and the final side length is "3s". We want to find the change in surface area, which is the difference between the final surface area and the initial surface area.

The surface area of a cube with side length "x" is given by 6x², as each face of the cube has an area of x² and there are 6 faces.

The change in surface area can be calculated as:

ΔA = ∫(6x²) dx,

where the integral is taken from the initial side length "s" to the final side length "3s".

Now let's evaluate the integral:

∫(6x²) dx = 2x³ + C,

where C is the constant of integration.

To find the change in surface area, we substitute the limits of integration:

ΔA = [2x³]s to 3s

= 2(3s)³ - 2s³

= 2(27)s³ - 2s³

= 52s³

Therefore, the change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

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Answer:

24x + 41

Step-by-step explanation:

Distribute the 6.

6(4x + 5) + 11 = 24x + 30 + 11

Now we just add the 30 and the 11 which are at the back of the expression.

24x + 30 + 11 = 24x + 41

Therefore the answer is 24x + 41. Please mark brainliest if possible and i hope you get a good grade on your homework

Answer:

25

Step-by-step explanation: