Find the diameter of each circle.

Given:

The table of values is:

x      y

-4     3

0     8

4     13

8     18

To find:

The slope of the line that described by the data in the table.

Solution:

Consider any two points from the given table.

Let the two points are (0,8) and (4,13). So, the slope of the line is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{13-8}{4-0}\)

\(m=\dfrac{5}{4}\)

\(m=1.25\)

Therefore, the slope of the line described by the data in the table is 1.25.

Step-by-step explanation:

-x+5y>-5

5y>-5+x

y>-1+ 1/5x

y>1/5x -1

There are 1,663,200 different orderings of the letters of millimicron containing the letters cr next to each other in order and the letters next to each other in order.

Total no. of letters = 11

Millimicron, dissecting will give us the following:

Number of m = 2

Number of i = 3

Number of l = 2

Number of c = 1

Number of n =1

Number of r = 1

Number of o = 1

o compute this by using permutation

total no. of ways to arrange = 11! ÷ [ 2! × 3! × 2! × 1! × 1! × 1! × 1!]

= 39,916,800 ÷ 24

= 1,663,200 is the answer

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Step-by-step explanation:

Answer:

7p+7=37-3p

10p=30

p=3

answer : p=3 because ke=be

Answer:

No

Step-by-step explanation:

y= -x

-2= -1

-2 does not equal -1

The Percent increase in the number of mobile users in India from last year to this year is 25%.

The percent increase in the number of mobile users in India from last year to this year, we can use the following formula:

Percent Increase = (New Value - Old Value) / Old Value * 100

Given that there were 432 million mobile users last year and it increased to 540 million mobile users this year, we can substitute these values into the formula:

Percent Increase = (540 million - 432 million) / 432 million * 100

Simplifying the calculation:

Percent Increase = 108 million / 432 million * 100

Percent Increase = 0.25 * 100

Percent Increase = 25

Therefore, the percent increase in the number of mobile users in India from last year to this year is 25%.

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Given the following equation:

You can solve for "x" by following these steps:

1. You must distribute the negative sign of the left side of the equation:

2. Now you need to add the like terms of the left side of the equation:

3. Apply the Subtraction property of equality by subtracting 7 from both sides of the equation:

4. Finally, you can apply the Division property of equality by dividing both sides of the equation by -2:

The answer is:

The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases. we need to consider the information given regarding its decrease in value.

The piece of machinery decreases in value by 22.5% each year. This means that its value after one year is \(100\% - 22.5\% = 77.5\%\) of its original value. In other words, its value is 0.775 times its original value.

To model the value of the machinery after x years, we need to consider the exponential decay function. The general form of an exponential decay function is:

y = \(a(1 - r)^x\)

Where:

- y represents the value after x years.

- a represents the initial value.

- r represents the decay rate (expressed as a decimal).

In this case, the initial value (a) is $150,000 and the decay rate (r) is 22.5% or 0.225.

Therefore, the equation representing the value of the piece of machinery after x years would be:

y = \(\$150,000 * (1 - 0.225)^x\)

Simplifying the equation further, we have:

y = \(\$150,000 * (0.775)^x\)

From this equation, we can see that the value of the machinery decreases exponentially over time. The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases.

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Answer:

a linear function with slope 3 and y intercept -6

Step-by-step explanation:

f(x) = 3x - 6 is definitely a linear function with slope 3 and y intercept -6.

Next time please be sure to share the answer choices.  Thanks.

Given function of \(f(x)= 3x-6\) represents a linear function representing straight line with no maximum and no minimum. Slope of the given line \(= 3\) and y - intercept \(= -6.\)

" Linear function is defined as the relation between variables with highest exponent equals to one".

According to the question,

Given

Function\(f(x)= 3x-6\)

\(f(x)= 3x-6\) is function in one variable x with highest exponent 1.

Therefore, it is a linear function.

Represents the straight line.

x increases y also increases.

No maximum and minimum point.

Compare it with general equation of line \(y = mx + c\)

Slope of the line \(= 3\)

Y- intercept \(= -6\)

Hence,  function of \(f(x) = 3x-6\) represents a linear function representing straight line with no maximum and no minimum. Slope of the given line \(= 3\) and y - intercept \(= -6.\)

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Answer:

A and B and C

Step-by-step explanation:

D and E are both resulting in answers that are not 2 and 1/2

Answer:

Step-by-step explanation:

I am assumimg you mean 5/9 and 16/5.

2 irrational numbers between these values are e and π.

Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

Two rational numbers are,

⇒ 5 / 9 and 16 / 5

Now, We get;

⇒ 5 / 9 = 0.5555

⇒ 16 / 5 = 3.2

Hence, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

Thus, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

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The length of A'B' = 5 units

The line segment AB is of 5 units. AB is then transformed through translation of 3 units to the right.

The translation only means change through a straight line. This transformation does not change the length of a line segment.

So the length of A'B' will also be 5 units.

But the position of A'B' will be different from that of AB on the co-ordinate plane. To be exactly, A'B' would be 3 units right to the position of AB on the co-ordinate plane.

Also the co-ordinates of A'B' will be different. Still their lengths will be same.

Thus the length of A'B' = 5 units

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The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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The probability of spinning an even number or a prime number is 5/6.

The total number of possible outcomes is 12 since there are 12 sections on the spinner.

Therefore, the probability of spinning an even number or a prime number is:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

Probability = 10 / 12

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:

Probability = (10 / 2) / (12 / 2)

Probability = 5 / 6

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Answer:

between -6 and -4 (-5), because -A is opposite from A

Answer:

Im not sure what you're supposed to solve but if you need to find what m = then its 110

Answer:

5

Step-by-step explanation:

\(f(x) = 3x - 1\)

\(f(2) = 3 \times 2 - 1 = 6 - 1 = 5\)

Just replace the x with 2

I think this is the right way to do it

Given:-

\( \: \)

To find:-

\( \: \)

Solution:-

\( \: \)

put the value of x= 2 in equation:

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

Answer: Toya Todoroki

Step-by-step explanation:

Answer:

Touya Todoroki

Step-by-step explanation:

i used to watch the show

The axis of symmetry of the equation f(x) = - 3x ^ 2 + 13x + 10 is

The axis of symmetry is calculated

= -b / 2a

The quadratic equation is an equation of the form

ax^2 + bx + c

Comparing the given equation f(x) = - 3x^2 + 13x + 10 with ax^2 + bx + c the values of the axis of symmetry is

x = -b / 2a

x = -13 / 2(-3)

x = -13 / -6

x = 13/6

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The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

The if statement evaluates the test expression inside the parenthesis ().

If the test expression is evaluated to true, statements inside the body of if are executed.

If the test expression is evaluated to false, statements inside the body of if are not executed.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

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In conditional statements, the part of the statement following 'if' is called the antecedent.

The antecedent is the condition that needs to be true for the consequent to occur.

The consequent is the part of the statement that follows 'then.'

An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.

It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is

required to establish what or to whom a pronoun in a sentence is referring.

In summary, a conditional statement is structured as "if (antecedent) then (consequent)."

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The measure of angle x is 90°

In a semicircle, an angle that has its vertex at the center of the circle will always be a right angle, which is 90 degrees.

This is because a semicircle is defined as half of a full circle, and the diameter of a circle forms a right angle with any chord that it intersects.

Therefore, any angle in a semicircle that has its vertex at the center of the circle will be 90 degrees.

Thus, the measure of angle x is 90°.

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Answer:

p = 6

Step-by-step explanation:

\((x^{2})(x^{2})^{2}\)

\((x^{2}) ^{2}\) is \(x^{2*2}\)

The equation is now \((x^{2} )(x^{4})\)

add the two exponents together 2 + 4

the final answer is \(x^{6}\)

Answer:

Yes, because a quadrilateral is four side. While the rhombus also have 4 sides.

Explanation:

Just did

Answer:

Yes, it is. A quadrilateral is any shape with four, straight (non-intersecting) sides, and so is a rhombus.

I hope this helps!

Answer:

C

Step-by-step explanation:

If x = a is a zero of f(x) then (x - a) is a factor of f(x)

Here the zeros are x = 6 and x = - 4 then the corresponding factors are

(x - 6) and (x - (- 4) ) , that is (x - 6) and (x + 4)

Then f(x) is the product of the factors

f(x) = a(x - 6)(x + 4) ( a is a multiplier )

If a = 1 , then

f(x) = (x - 6)(x + 4) ← is a possible choice → C

Answer:

С.

Step-by-step explanation:

f(x) = (x − 6)(x + 4)

x-6=0

x1=6

x+4=0

x2=-4

The series expansion will converge within a certain radius of convergence determined by the singularities of the function. In this case, the function has singularities at z = 0 and z = 2, so the series will converge within the annulus defined by 0 < |z| < 2.

To expand the complex function f(z) = 1/z(z - 2)² into a Laurent series about z = 0, we can use partial fraction decomposition and the geometric series expansion. Here's how we can proceed:

Step 1: Perform partial fraction decomposition

1/z(z - 2)² = A/z + B/(z - 2) + C/(z - 2)²

To find the constants A, B, and C, we can multiply both sides by z(z - 2)² and equate the coefficients of corresponding powers of z:

1 = A(z - 2)² + Bz(z - 2) + Cz

Expanding the right-hand side:

1 = A(z² - 4z + 4) + Bz² - 2Bz² + Cz

1 = (A + B)z² + (-4A - 2B + C)z + 4A

Comparing coefficients:

A + B = 0 (coefficient of z²)

-4A - 2B + C = 0 (coefficient of z)

4A = 1 (constant term)

Solving this system of equations, we get A = 1/4, B = -1/4, and C = 1/2.

Step 2: Substitute the values of A, B, and C back into the partial fraction decomposition:

1/z(z - 2)² = (1/4)/z - (1/4)/(z - 2) + (1/2)/(z - 2)²

Step 3: Expand each term using the geometric series expansion.

For (1/4)/z:

(1/4)/z = (1/4) * (1/z) = (1/4) * (1/(z - 0)) = 1/(4z) = 1/(4z) * (1/1)

Using the geometric series expansion:

1/(1 - w) = 1 + w + w² + w³ + ...

Where |w| < 1

Applying this to our term:

1/(4z) * (1/1) = (1/4z) * (1/(1 - (-z/4))) = (1/4z) * (1 + (-z/4) + (-z/4)² + (-z/4)³ + ...)

For (-1/4)/(z - 2):

(-1/4)/(z - 2) = (-1/4) * (1/(z - 2)) = (-1/4) * (1/(z - 2 - 0)) = -1/(4(z - 2)) = -1/(4(z - 2)) * (1/1)

Again, applying the geometric series expansion:

-1/(4(z - 2)) * (1/1) = (-1/(4(z - 2))) * (1/(1 - (z/4 - 1))) = (-1/(4(z - 2))) * (1 + (z/4 - 1) + (z/4 - 1)² + (z/4 - 1)³ + ...)

For (1/2)/(z - 2)²:

(1/2)/(z - 2)² = (1/2) * (1/(z - 2)²) = (1/2) * (1/(z - 2)² * (1/1)

Again, applying the geometric series expansion:

(1/2)/(z - 2)² * (1/1) = (1/2)/(z - 2)² * (1/(1 - (z/2 - 1))) = (1/2)/(z - 2)² * (1 + (z/2 - 1) + (z/2 - 1)² + (z/2 - 1)³ + ...)

Combining all the expanded terms, we get the Laurent series expansion of f(z) = 1/z(z - 2)² about z = 0:

f(z) = 1/(4z) - 1/(4(z - 2)) + 1/(2(z - 2)²) + ...

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Step-by-step explanation:

1st Answer is 120°

if not correct

2nd Answer is 60°

by Alternate Interior Angles..

hope it helps!!(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)(・∀・)

Answer:

y = 60°

Step-by-step explanation:

y and 60° are alternate angles and are congruent , then

y = 60°

Answer:

volume = 174.8 sq. units.

Answer:

61.5752159 units³

Step-by-step explanation:

The height of a cone can be found using the following formula:

\(v=\frac{1}{3} \pi r^2h\)

We know that the height is 14.7 and the radius is 2.

\(h=14.7 \\r=2\)

Substitute the values into the formula.

\(v=\frac{1}{3} \pi (2)^2(14.7)\)

Evaluate the exponent.

⇒ 2²= 2*2 = 4

\(v=\frac{1}{3} \pi (4)(14.7)\)

Multiply 4 and 14.7

\(v=\frac{1}{3} \pi (58.8)\)

Multiply 1/3 and pi.

\(v=1.04719755*58.8\)

Multiply the two numbers together.

\(v=61.5752159\)

Add appropriate units. Volume is cubic units, and we aren't given units. So, we should use cubic units.

\(v=61.5752159 units^3\)

The volume of the cone is 61.5752159 cubic units.