How do I graph all 5 points correctly?

Answer:

565.2

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi * r

C = 2 * (3.14) * 90

C =565.2

Answer:

565.2

Step-by-step explanation:

Given,

Radius ( r ) = 90

π = 3.14

To find : Circumference of a circle

Formula

Circumference of a circle = 2πr

Circumference of a circle

= 2 x 3.14 x 90

= 6.28 x 90

= 565.2

The expression which are equals to 6⁻¹⁰ are as follow,

option A. (1 /6² )⁵ , Option b. 6⁻³ / 6⁷ , Option ( 6⁻⁵ )².

The expression is equal to,

6⁻¹⁰

Simplify all the given options to find the equivalent expression to 6⁻¹⁰.

(1 /6² )⁵

Apply law of exponent here,

= ( 1 / 6¹⁰)

= 6⁻¹⁰

Option A. is correct answer.

6⁻³ / 6⁷

Apply law of exponent we get,

= 6⁻³⁻⁷

= 6⁻¹⁰

Option B. is correct answer.

( 6⁵ × 6⁻³ )/ 6⁻⁸

= 6⁵⁻³⁺⁸

= 6¹⁰

It is not the correct answer.

( 6⁻⁵ )²

Apply law of exponent here

= 6⁻¹⁰

Option D. is the correct answer.

6⁻⁵ × 6²

= 6⁻³

It is not correct option.

Therefore, the expression equivalent to the given expression are option A. (1 /6² )⁵ , Option b. 6⁻³ / 6⁷ , Option ( 6⁻⁵ )².

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Answer:

0.009 meters is equal to 9 millimeters.

Answer:

[tex]25x+1000=1500[/tex] which means [tex]x=20[/tex] guests

Step-by-step explanation:

The initial 40 employees cost 40*25  = $1000

So, we can set up the equation:

[tex]25x + 1000=1500[/tex] where x is the number of guests.

This means [tex]25x=500[/tex].

[tex]x=20[/tex]

Step-by-step explanation:

For a RIGHT triangle such as this :

Sin Φ  =  opposite leg / hypotenuse

sin (47) = AB/5.7

5.7 sin (47) = AB = 4.17 m

Thymus—Function 1; Pituitary—Function 2 is the correct to depict the function of the glands, thymus is associated with the immune system, hence option C is correct.

Thymus associated with the immune system, it reaches its peak size during adolescence.

The pituitary produces hormones needed for different bodily activities, including development.

The pituitary gland is known as the "master gland" because it uses hormones to monitor and control a variety of body functions. Growth and sexual development is the function of this gland.

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The center of the circle is (-7, -1) and the radius is the square root of 36, which is 6. So, correct option is D.

To find the center and radius of a circle given by its equation in the form of (x-a)² + (y-b)² = r², we need to convert the given equation to this standard form by completing the square for both x and y terms.

x² + y² + 14x + 2y + 14 = 0

(x² + 14x) + (y² + 2y) = -14

(x² + 14x + 49) + (y² + 2y + 1) = -14 + 49 + 1 // add and subtract the square of half the coefficient of x and y terms respectively

(x + 7)² + (y + 1)² = 36

Comparing with the standard form (x-a)² + (y-b)² = r², we can see that the center of the circle is (-7, -1) and the radius is the square root of 36, which is 6.

Therefore, the correct answer is option D, (-7, -1), 6 units.

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The coordinates of B so that AB is 5/9 of AC is (51/14, -10/7).

Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane.

To calculate the coordinates of B (x,y), so that AB is 5/9 of AC, we use the formula below

Formula:

Ferom the question,

Given:

Substitute these value into equation 1

Similarly for coordinate x we use the  formula below

Where:

Substitute into equation 2

Hence, the coordinates of B is (51/14, -10/7).

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The values of the trigonometric identities are;

sin θ = 4/5 = 0. 800

cos θ = 3/5 = 0. 600

tan θ = 4/3 = 1. 333

There are six trigonometric identities;

For the secant identity, we have the ratio;

sec θ = hypotenuse/adjacent

Then, using the Pythagorean theorem, we have the the square of the hypotenuse is equal to the sum of the squares of the other two sides, then

5² = 3² + x²

x² = 25 - 9

x²= 16

find square root

x = 4

For the value of sin θ

sin θ = 4/5 = 0. 8000

For cosine ratio

cos θ = 3/5 = 0. 6000

for tangent ratio

tan θ = 4/3 = 1. 333

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The place value of 3 in this number be ten.

Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.

The number 42,316 is different from 61,432 because the digits are in different positions.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.

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False. The best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n^2), not O(n+n) or O(2n).

An algorithm is a set of instructions or a procedure for solving a problem or performing a task. In computer science, an algorithm is typically a step-by-step process for solving a problem or performing a computation. Algorithms can be expressed in various forms, such as natural language, pseudocode, flowcharts, or programming languages. They are used in a wide range of applications, from simple arithmetic operations to complex data processing and artificial intelligence. The efficiency and correctness of an algorithm depend on various factors such as the input size, the data structure, and the computational complexity of individual operations.

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Because each of n bits of a number x must be multiplied by each of n bits of a number y, the best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n+n)-O(n^2

While it is true that each of n bits of a number x must be multiplied by each of n bits of a number y, it is possible to achieve a better big-o bound than O(n+n) or O(2n). The best-known algorithm for multiplying two n-bit numbers, the Karatsuba algorithm, achieves a big-o bound of O(n^log2(3)), which is faster than O(n^2).

Therefore, the statement that the best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n+n) or O(n^2) is false.
Main answer: b. false

The given statement implies that the best big-O bound for multiplying two n-bit numbers is O(n+n)-O(n^2), which simplifies to O(2n)-O(n^2) or simply O(n^2). However, this is not the best bound achievable for multiplying two n-bit numbers. The best known algorithm, the Karatsuba algorithm, has a time complexity of O(n^log2(3)), which is approximately O(n^1.585). This is faster than O(n^2) and thus, the statement is false.

The best big-O bound that any algorithm that multiplies two n-bit numbers can achieve is not O(n^2), but rather O(n^log2(3)), as demonstrated by the Karatsuba algorithm. Therefore, the given statement is false.

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An actor invested some money at 9​% simple​ interest, and ​$49,000 more than three times the amount at 10%. The total annual interest earned from the investment was ​$38,440. Then, the actor invested $307,000 at 10% simple interest.

Let's use the following variables to represent the amounts invested;

x; amount invested at 9% simple interest

3x + 49000: amount invested at 10% simple interest (as it is $49,000 more than three times the amount invested at 9%)

We know that the total annual interest earned from the investment was $38,440, so we can set up the following equation;

0.09x + 0.1(3x + 49000)

= 38440

Simplifying and solving for x, we get;

0.09x + 0.3x + 4900 = 38440

0.39x = 33540

x = 86000

So the actor invested $86,000 at 9% simple interest. Using this value, we can calculate the amount invested at 10%;

3x + 49000 = 3(86000) + 49000

= 307000

Therefore, the actor invested $307,000 amount.

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Answer:

18

Step-by-step explanation:

To solve this problem, you could either do this two ways: solve for x immediately and then multiply it by 2, or you could multiply the equation by two and solve for x.

I will be using the first option.

Step 1: Solve for x

[tex]-2x+7=-4x+11\\\\[/tex] - We can set these equal to each other because a square has all sides congruent, which means that this side and all the others are equal to each other

[tex]-2x+2x+7=-4x+2x+11\\\\7=-2x+11[/tex]- We add 2x to both sides so we can isolate all the variables on one side and all the constants on one

[tex]7-11=-2x+11-11\\\\-4=-2x[/tex]- We do this so all the constants are on one side

[tex]\frac{-4}{-2}=\frac{-2x}{-2} \\\\2=x[/tex]- We divide by the coefficient of x so that we can fully isolate it

So now we have what x is, so we have to reinsert x into the equations and multiply it by itself to find the original area, after that we multiply it by 2.

[tex]-2x+7\\\\-2(2)+7\\\\-4+7\\\\3*3=9\\\\9*2=18[/tex]

The rate at which the machine crushes dry fruit is option (D) 4 1/3 kilograms per minute.

To find the rate at which the machine crushes dry fruit, we need to divide the amount of fruit crushed by the time taken. We can convert the mixed number of 3 1/4 kilograms to an improper fraction as follows

3 1/4 = (3 x 4 + 1)/4 = 13/4

So the rate at which the machine crushes dry fruit is

rate = amount of fruit crushed / time taken

= (13/4) / (3/4)

= 13/4 x 4/3

= 13/3

Convert to mixed fraction

= 4 1/3

Therefore, the correct option is (D) 4 1/3

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The given question is incomplete, the complete question is:

A processing machine crushes 3 1/4 kilograms of dry fruits in 3/4 minute. What is the rate, in kilograms per minute, at which the machine crushes dry fruit? A. 3/13 B. 16/39 C. 2 7/16 D. 4 1/3

Answer:

Step-by-step explanation:

The inequality y ≥ (1/3)x + 1 represents all the points that lie on or above the line y = (1/3)x + 1.

To graph this line, we can first plot the y-intercept at (0, 1). From there, we can use the slope of (1/3) to find additional points on the line.

For example, if we move one unit to the right (x = 1), we would move up one-third units (y = 1 + 1/3), giving us the point (1, 4/3). Similarly, if we move two units to the right (x = 2), we would move up two-thirds units (y = 1 + 2/3), giving us the point (2, 5/3).

To indicate that the inequality includes points on the line, we use a solid line.

Finally, to determine which region to shade, we can test a point not on the line. For example, the point (0, 0) is below the line, so we shade the region above the line.

Therefore, the correct answer is: The graph shows a solid line that passes through negative 3 comma 0 and 0 comma 1, with shading above the line.

Answer:

First problem:

Area of shaded region:

(1/6)π(9^2) - (1/2)(9)(4.5√3) = 7.4 m^2

Second problem:

Area of shaded region:

(1/3)π(6^2) - 2(1/2)(3)(3√3) = 22.1 cm^2

Answer: Answer is A. -11

Step-by-step explanation:

Try doing all the numbers ( The answer choices) minus 9.

-11 - 9 = -2

Answer:

The point (a, b) would be in Quadrant III, where both the x-coordinate and y-coordinate are negative.

a state accounting process in brief

7,920 × 3.14 = 24,868.8, not the answer above. How is this right?

The wrapping paper design could consist of a repeating pattern of quadrilaterals with at least one pair of parallel lines.

Inside each quadrilateral, there could be two congruent angles and two congruent segments. The segments could be bisected by perpendicular lines, creating a bisected angle within the quadrilateral.

In addition, there could be perpendicular lines drawn from a point not on a line to a line and perpendicular lines drawn through given points on given lines. These lines could intersect with the quadrilaterals in various ways, creating a dynamic and visually interesting design.

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If Jenise wants to find out if the students at her school would support using money to buy new band uniforms, the survey that will result in a random sample is D. She picks 75 names at random, sends emails, and records those that return.

A random sample is a sample that gives each unit in the population an equal chance of participation or being selected.

A random sample involves selecting a subset of the population.  The result of the sample survey is generalized on the population to each some conclusions about the population parameters.

Thus, the correct option is D because it involves a random selection.

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If Mike bought 4 "soft-pretzels" and 4 bottles of water for $15, Ling purchased 3 "soft-pretzels" and 2 bottles of water for $10, the each "soft-pretzels" cost $2.5 and each "water-bottle" cost 1.25.

Let the cost of a "soft-pretzel" be =  $x and

Let the cost of a bottle of water be = $y,

We know that, Mike purchased 4 "soft-pretzels" and 4 bottles of water for $15,

Ling purchased 3 "soft-pretzels" and 2 bottles of water for $10,

So, the equations are :

⇒ 4x + 4y = 15 ...(1)

⇒ 3x + 2y = 10 ...(2)

We solve this by using substitution method:

Solving equation (2),

We get,

⇒ 3x + 2y = 10,

⇒ x = (10 - 2y)/3,

Now we substitute this expression for "x" in equation(1),

⇒ 4x + 4y = 15,

⇒ 4[(10 - 2y)/3] + 4y = 15,

⇒ y = 5/4,

Substituting this "y" into equation(2),

We get,

⇒ 3x + 2y = 10,

⇒ 3x + 2(5/4) = 10,

⇒ x = 5/2 = 2.5,

Therefore, cost of a soft pretzel is $2.5 and cost of a bottle of water is $1.25.

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For the 5th question, the length of the pool based on the information given will be 70ft.

The length of the pool can be described by the equation: length = 5x + 10, while the width of the pool can be portrayed through the equation: width = 2x + 12.

After weighing out the rationale for both sides of the expression, simplify it down to: x^3 + 12x^2 - 528x - 564 = 0. This can be broken up with synthetic division or a calculator and a possible solution to this problem is x = 12.

Further compounding the two equations, length = 70 ft and width = 36 ft emerge; presenting length being 70 ft and width claimed at 36 ft.

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The interest rate required  in order for Amelia to end up with $64,000 assuming the interest is compounded continuously is 6.2%.

Given that,

Amelia is going to invest $47,000 and leave it in an account for 5 years.

Principal amount, P = $47,000

Time, t = 5 years

Final amount, A = $64,000

Interest is compounded continuously.

Final amount, A, can be calculated as,

A = P e^(rt)

64,000 = 47,000 e^(5r)

e^(5r) = 1.3617

Taking natural logarithms on both sides,

5r = ㏑ (1.3617)

r = 0.0617 ≈ 6.2%

Hence the interest rate is 6.2%.

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Answer:

1. neither

2. x axis

3. y axis

Step-by-step explanation:

The transformation from green triangle to blue triangle is translation moved down by 6 units.

Given that,

Vertices of green triangle are (-3, 9), (-5, 4) and (2, 6)

Vertices of blue triangle are (-3, 3), (-5, -2) and (2, 0)

We can see that, x-coordinates of all the ordered pairs are same.

y-coordinates of all the ordered pairs are changed that is

(9-3)=6, (4-(-2))=6 and (6-0)=6

So, the triangles are slide down by 6 units.

Mathematically it is represented as (x, y-6)

Therefore, the transformation from green triangle to blue triangle is translation moved down by 6 units.

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Answer: 7

Step-by-step explanation:

The probability of Kara is on the red team among all four equally sized team is given by 0.03%.

Total number of students in class = 20

Number of equally sized team = 4

Since there are 4 equally sized teams and 20 students,

There are 20/4 = 5 students on each team.

Since each student is equally likely to be assigned to any of the four teams.

The probability of Kara being on the red team is ,

= Ratio of number of ways she can be assigned to red team to total number of possible assignments.

The number of ways Kara can be assigned to the red team is 5 since there are 5 students on the red team.

Total number of possible assignments is the number of ways to choose 5 students out of 20.

= ²⁰C₅

= 20! / (5! × 15!)

= 15,504

The probability that Kara is on the red team is,

⇒ P(Kara is on the red team) = 5/15,504

⇒ P(Kara is on the red team) ≈ 0.0003225

⇒ P(Kara is on the red team) ≈ 0.03%.

Therefore, the probability of the Kara is on the red team is equal to 0.03%.

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