Consider the circle centered at the origin and passing through the point (0, 4)

Answer:

3 7/10

Step-by-step explanation:

Hope this helps and good luck!

Answer: \(3\frac{7}{10}\) or \(\frac{37}{10}\)

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below. Follow these steps I made for you.

Step 1: Convert \(8\frac{4}{5}\) to an improper fraction. Use this rule: \(a\frac{b}{c} = \frac{ac + b}{c}\).

\(\frac{8 * 5 + 4}{5} - 5\frac{1}{10}\)

Step 2: Simplify 8 × 5 to 40.

\(\frac{40 + 4}{5} - 5\frac{1}{10}\)

Step 3: Simplify 40 + 4 to 44.

\(\frac{44}{5} - 5\frac{1}{10}\)

Step 4: Convert \(5\frac{1}{10}\) to an improper fraction. Use this rule \(a\frac{b}{c} = \frac{ac + b}{c}\).

\(\frac{44}{5} - \frac{50 * 10 + 1}{10}\)

Step 5: Simplify 5 × 10 to 50.

\(\frac{44}{5} - \frac{50 + 1}{10}\)

Step 6: Simplify 50 + 1 to 51.

\(\frac{44}{5} - \frac{51}{10}\)

Step 7: Find the Least Common Denominator (LCD) of \(\frac{44}{5}, \frac{51}{10}\). In other words, find the Least Common Multiple (LCM) of 5, 10.

LCD = 10

Step 8: Make the denominators the same as the LCD.

\(\frac{44 * 2}{5 * 2} - \frac{51}{10}\)

Step 9: Simplify. Denominators are now the same.

\(\frac{88}{10} - \frac{51}{10}\)

Step 10: Join the denominators.

\(\frac{88- 51}{10}\)

Step 11: Simplify.

\(\frac{37}{10}\)

Step 12: Convert to a mixed fraction.

\(3\frac{7}{10}\)

~I hope I helped you! :)~

Carla's behavior of putting in extra practices to become faster can be seen as an example of (Option A.) compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

Carla's behavior of putting in extra practices to become faster can be seen as an example of compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

By engaging in extra practices, Carla is attempting to compensate for her lack of speed and improve her performance. This is different from rationalization, which is the act of making excuses for one's behavior, or from regression, which is the act of reverting to a younger age in response to a stressful situation.

Finally, displacement is the act of redirecting one's emotions or anger onto another person or object.

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A and B are typically subitized, which means that they can be immediately recognized without counting. C and D are more likely to be counted.

Counting is the process of determining the number of items in a set by successively adding one. Subitizing, on the other hand, is the ability to immediately recognize the number of items in a small set without counting. The capacity for subitizing is limited to small sets typically ranging from 1 to 5 items, depending on the individual's age and mathematical ability. The answer to this question would be option C, 3. For most individuals, recognizing the number of items in a set of 3 would require counting rather than subitizing, as 3 is at the upper limit of the typical range for subitizing.

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To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.

1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:

V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49

We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:

V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)

Here is a more detailed explanation of the substitution:

In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.

When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3

In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.

When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)

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None of the number lines represents the solution of the given inequality as the solution of the inequality is all real numbers less than -7/22 and it does not include the number -7/22.

The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals.

A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). The numbers to the left of zero are all negative whereas the numbers on the right of zero are all positive.

The given inequality is

1/7m < -1/22

Multiply both sides by 7

7 × 1/7 m< -1/22 × 7

m < -7/22

So, the solution to the inequality is all real numbers less than -7/22.

The graph (A) and (B) cannot be the solution to the inequality as they are going to the right.

Graph (C) also cannot be the solution, although it is going left, the point (-14./11) is closed and it does not belong to the solution of the inequality.

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Answer:

square root of 50

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

the product of the external part and the entire secant of one is equal to the product of the external part and the entire secant of the other, that is

(x - 2)(x - 2 + x + 4) = 4(4 + 5)

(x - 2)(2x + 2) = 4 × 9

2x² + 2x - 4x - 4 = 36 ( subtract 36 from both sides )

2x² - 2x - 40 = 0 ( divide through by 2 )

x² - x - 20 = 0 ← in standard form

(x - 5)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 4 = 0 ⇒ x = - 4

But x > 0 , then x = 5

Answer: 59

Step-by-step explanation: cus im cool like that

Answer:

about 62%

Step-by-step explanation:

add all of the numbers

subtract the number of purple skittles

do 16÷26

multiply your answer by 100

get 61.5

round up

Answer:

5/32

Step-by-step explanation:

This is already in its simplest form, so you don't need to do anything! Nothing is a same multiple of both 5 or 32 except 1.

Hope this helps!! Have an amazing day ❤

Answer:

The measure of the indicated exterior angle is 110°

Step-by-step explanation:

Let us revise the rule of the exterior angle

In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.

We will use this rule to solve the question

∵ The ladder, the house, and the ground formed a right triangle

∵ The ladder's angle with the ground facing away from the house is

   an exterior angle of the triangle

∵ The angles of measures 90° and 20° are its opposite interior angles

→ By using the rule above

∴ The measure of the exterior angle = 90° + 20°

∴ The measure of the exterior angle = 110°

∴ The measure of the ladder's angle with the ground facing away

   from the house is 110°

∴ The measure of the indicated exterior angle is 110°

It takes Jay, Elle and Kay to work individually for 70 minutes, 105 minutes and 52.5 minutes respectively

A ratio can sometimes be regarded as fraction. While rate has something to do with time.

Given that Jay and Kay can pack the shelves in one aisle of the supermarket in 30 minutes. Kay and Elle take 35 minutes to do the same job. When Jay and Elle work together, the job takes 42 minutes.

Let

The interpretation of the question go thus;

1/J + 1/K = 1/30 ........ (1)

1/K + 1/E = 1/35 .........(2)

1/J + 1/E = 1/42 .........(3)

Make 1/J and 1/E the subject of formula in equation 1 and 2 respectively and substitute them in equation 3

1/J = 1/30 - 1/K  ........ (4)

1/E = 1/35 - 1/K  .........(5)

1/30 - 1/K + 1/35 - 1/K = 1/42

Collect the like terms

- 1/K - 1/K = 1/42 - 1/30 - 1/35

-2/K = (35 - 49 - 42)/1470

-2/K = -56/1470

1/K = 28/1470

Reciprocate both sides

K = 1470/28

K = 52.5 minutes.

Substitute K in both equation 4 and 5

1/J = 1/30 - 28/1470

1/J = (49 - 28)/1470

1/J = 21/1470

Reciprocate both sides

J = 1470/21

J = 70 minutes

1/E = 1/35 - 28/1470

1/E = (42 - 28)/1470

1/E = 14/1470

Reciprocate both sides

E = 1470/14

E = 105 minutes

Therefore, it takes Jay, Elle and Kay to work individually for 70 minutes, 105 minutes and 52.5 minutes respectively

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The future value of $100 compounded continuously for 2 years at a stated annual interest rate of 10 percent per year is approximately $121.04.

To calculate the future value using continuous compounding, we can use the formula:

FV = P * e^(rt)

Where FV is the future value, P is the principal amount (initial investment), e is the base of the natural logarithm (approximately 2.71828), r is the annual interest rate (expressed as a decimal), and t is the time period in years.

In this case, the principal amount (P) is $100, the annual interest rate (r) is 0.10 (10% expressed as a decimal), and the time period (t) is 2 years. Plugging these values into the formula, we have:

FV = $100 * e^(0.10 * 2)

Calculating the exponent, we get:

FV ≈ $100 * e^0.20

Using the value of e (approximately 2.71828), we find:

FV ≈ $100 * 2.71828^0.20 ≈ $121.04

Therefore, the future value of $100 compounded continuously for 2 years at a stated annual interest rate of 10 percent per year is approximately $121.04.

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Answer:

z=2256

did you mean

2z=4512?

i hope this was the question and that the answer is correct!^^

Answer:

26.019

Step-by-step explanation:

Answer:

26.01

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

All you have to do it first add f(x)+ g(x) and then plug in x=5.

(f+g) = f(x) + g(x)

= (7x- 2) + (9x-4)

= 7x - 2 + 9x - 4

= 16x - 6

(f + g)(5) = 16(5) - 6

= 80 - 6

= 74

Answer:

93600

Step-by-step explanation:

The divisibility rule of 24 is that the number has to be divisible by both 3 and 8. So we need to plug in numbers for x and y to find the greatest number. 93600 should be the answer.

Answer:

The random process described is a symmetrical random walk.

A symmetrical random walk is a mathematical model that represents a series of steps taken in either a forward (+1) or backward (-1) direction, each with equal probability. Starting from point zero, the process involves taking a certain number of steps. The outcome at each step is independent of previous steps, making it a stochastic process. The key characteristic of a symmetrical random walk is that, on average, the process remains centered around its starting point. This means that over a large number of steps, the expected displacement from the starting point approaches zero.

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The midpoint of the line AB lies on the line 4y= x +9 is (-6, 248)

Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.

Let we've two endpoints of a line segment as A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

\(x = \dfrac{p+m}{2}\\y = \dfrac{q+n}{2}\)

We are given that the normal to the curvey = x³ + 6x² -34x+44 at the point P(2, 8) cuts the x-axis at A and the yaxis at B.

y = x³ + 6x² -34x+44

dy/ dx = 3x² + 12x -34

Then the equation is

(y - 4) = -34(x - 0)

y + 34x = 44

So, -34x + 44 =  x³ + 6x² -34x+44

x = 0

x = -6

Also, we d² y/ dx gives us  248

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The price range for the past week's common stock is $1.125.

To calculate the price range, we need to find the difference between the highest and lowest prices. The highest price is $62 and the lowest price is $60.875. So, the difference between them is:

$62 - $60.875 = $1.125

Therefore, the price range for the past week's common stock is $1.125.

This information can be useful for investors who are monitoring the performance of the company's stock over time.

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Answer: this is correct

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The transformation of the shape is most definitely correct.

Answer:

1:use the differentiation rules

2:find the derivative

3:simplfy

4:solution

Answer: 2.2 | 4.2 | 4.1

Step-by-step explanation:

Answer:

12°

Step-by-step explanation:

it is a ratio let represent by x

6x+5x+4x=180

15x=180

x=12°

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.