An earthquake measured on the richter scale. use the formula to determine approximately how many times stronger the wave amplitude a of the earthquake was than .

The distance between two points can be calculated using the formula;

For points;

Given the points;

The distance between the two points can be calculated using the above formula;

The distance between the two points is;

Answer:

27.6%

Step-by-step explanation:

See the attached worksheet. Find the total number of marbles (29) and then take the green marbles and divide by the total and multiply by 100%.  (8/29)*(100%) = 27.6% to the nearest tenth.

The angles of a triangle with side lengths 5 , 12 and 13 are 90°, 22.63°, 67.38°.

In trigonometry, the law of cosines, also known as the law of cosines or cosine formula, basically relates the length of a triangle to one cosine of its angle. It states that if we know the lengths of two sides of a triangle and the angle between them, we can determine the length of the third side. c² = a²+ b² – 2ab cosγ

where a, b, c are the sides of the triangle and γ is the angle between a and b, see image above.

To find the length of a side of a triangle, take △ABC according to the cosine formula, which can be written as follows.

We have , a = 5 , b = 12 , c= 13

cos α =( 12² + 13² - 5² )/2×12×13= 288/312

=> α = cos⁻¹(0.923 ) = 22.63°

cos β = (5² + 13² - 12² )/2×13×5 = 50/130

=> β = cos⁻¹(5/13) = 67.38°

cos γ = (12² + 5² - 13² )/2×12×5= 0

=> γ = cos⁻¹(0) = 90°

Hence, the required angles are 90°, 22.63°, 67.38°.

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Answer: 5 inches

Step-by-step explanation:

The volume of a cylinder is equal to pi*radius^2*height.

We can replace the height with 12 inches and the volume with 942 cubic inches.

Therefore, 942 in^3 = pi*radius^2*12 inches

We can divide both sides by 12:

pi*radius^2 = 78.5 inches^2

We can divide both sides by pi:

Radius^2 = About 24.99 inches^2

We can square both sides:

Radius approximately equals 5 inches.

In this question, the z-score associated with the 97.5 percent confidence interval is option e) 1.960.

In statistics, the z-score is used to determine the number of standard deviations a particular value is away from the mean in a normal distribution. The z-score is commonly used in confidence interval calculations, where it corresponds to a certain level of confidence.

The 97.5 percent confidence interval corresponds to a two-tailed test, meaning we need to find the z-score that captures 97.5 percent of the area under the normal distribution curve, with 2.5 percent of the area in each tail.

Looking up the z-score in a standard normal distribution table or using statistical software, we find that the z-score associated with the 97.5 percent confidence interval is approximately 1.960.

Therefore, the correct answer is e) 1.960. This z-score is used when constructing a 97.5 percent confidence interval, which means there is a 97.5 percent probability that the true population parameter lies within the interval calculated using this z-score.

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To find the production level c at which the average cost is minimized, we need to determine the value of c for which the average cost function C(a) reaches its minimum. This can be done by finding the derivative of the total cost function C(x) with respect to x, setting it equal to zero, and solving for c.

The average cost function C(a) is given by the total cost function C(x) divided by the production level a:

C(a) = C(x) / a

To find the minimum average cost, we need to find the value of a that minimizes C(a). We can achieve this by finding the value of x that corresponds to the minimum average cost.

First, let's differentiate the total cost function C(x) with respect to x:

C'(x) = 4 + 0.26x

Next, we set C'(x) equal to zero to find the critical point:

4 + 0.26x = 0

Solving for x, we get:

x = -4 / 0.26 ≈ -15.38

Since the production level cannot be negative, we disregard the negative value and choose the positive value that corresponds to the minimum average cost. Therefore, the production level c is approximately 15.38 (rounded to 2 decimal places).

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Therefore, the directional derivative of f at P=(1,-1,-2) in the direction of A=3i+2j-6k is -2.

To find the directional derivative of f(x,y,z) at P=(1,-1,-2) in the direction of A=3i+2j-6k, we first need to find the gradient of f at P, which is given by:

grad(f) = ∇f = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k

Here, f(x,y,z) = xy + yz + zx, so we have:

∂f/∂x = y + z

∂f/∂y = x + z

∂f/∂z = x + y

Thus, at P=(1,-1,-2), we have:

∇f(P) = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k

= (y+z)i + (x+z)j + (x+y)k

= (0+(-2))i + (1+(-2))j + (1+0)k

= -2i - 1j + 1k

Next, we need to find the unit vector in the direction of A:

|A| = sqrt(3^2 + 2^2 + (-6)^2) = 7

u = A/|A| = (3/7)i + (2/7)j - (6/7)k

Finally, we can compute the directional derivative of f at P in the direction of A as:

(DAf) | 1(1,-1,-2) = ∇f(P) · u

= (-2i - 1j + 1k) · (3/7)i + (2/7)j - (6/7)k

= -6/7 - 2/7 - 6/7

= -2

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~Shoto Todoroki here~

Let's consider what we are asked. The domain is defined as a set of points that satisfy the equation on the x-ordinate.

So, essentially, we need to find if and what the restriction on x is.

Let's now consider just f(x) because g(x) is completely irrelevant to the question.

f(x) = 2 - x^(1/2)

Since f(x) can never be 0 for a defined function, let's consider when f(x) = 0 to find a restriction on x.

2 - x^(1/2) = 0

2 = x^(1/2)

+-4 = x

But we can only take the positive 4 because inside a square root has to always be positive (unless you're dealing with complex numbers), so the only restriction is that x cannot be equal to 4.

hope this helps :D

Answer:

4 lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

\(x=1\)

\(x=-1\)

Step-by-step explanation:

 Let's use the quadratic formula to solve this.

  Quadratic formula is usually defined as the formula for determining the   roots of a quadratic equation from its coefficient. Quadratic equations are  equations containing a single variable of degree 2. Its general form is ax^2   + bx + c = 0, where x is the variable, and a,b, and c are constants (a ≠ 0).

_______

     1 ) move terms to the left side

                                \(x^2=1\)

                            \(x^2-1=0\)

        2) Use the quadratic formula

\(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)

       Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

     \(x^2-1=0\)

        \(a =1 \\b = 0\\c=-1\)

      \(x=\frac{-0\pm\sqrt{0^2-4*1(-1)} }{2*1}\)

    3) Simplify

 - evaluate the exponent

\(x=\frac{0\pm\sqrt{0^2-4*1(-1)} }{2*1}\)

\(x=\frac{0\pm\sqrt{0-4*1(-1)} }{2*1}\)

 -   Multiply the numbers

 \(x=\frac{0\pm\sqrt{0-4*1(-1)} }{2*1}\\\)

\(x=\frac{0\pm\sqrt{0+4} }{2*1}\)

- add the numbers

     \(x=\frac{0\pm\sqrt{0+4} }{2*1}\)

    \(x=\frac{0\pm\sqrt{4} }{2*1}\)

-  Evaluate the square root

 \(x=\frac{0\pm\sqrt{4} }{2*1}\)

\(x=\frac{0\pm2}{2*1}\)

- add zero

 \(x=\frac{0\pm2}{2*1}\)

  \(x=\frac{\pm2}{2*1}\)

-  Multiply the numbers

 \(x=\frac{\pm2}{2*1}\)

 \(x=\frac{\pm2}{2}\)

   4) separate the equations

  -  To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

                  \(x=\frac{2}{2}\\x=\frac{-2}{2}\)

          5) solve

 - Rearrange and isolate the variable to find each solution

    \(x=1\\x=-1\)        

___________

\(x=1\\x=-1\)

The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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In stroke play, when Player A concedes a short putt to Player B on the 7th hole and Player B picks up their ball and tees off on the 8th hole before holing out on the 7th hole, the ruling is that Player B incurs a penalty for not completing the hole.

In stroke play, if player A concedes a short putt to player B on the 7th hole, it means that player B can pick up their ball without completing the hole.

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Answer:

24

Step-by-step explanation:

you multiply 5 by 3 to get 15 so you multiply 8 by 3 also

She had 9 red candies, 43 orange candies, and 14 yellow candies. Therefore, there are total 66 candies.

In mathematics, total is the addition of a series of arbitrary numbers called addition or addition; the result is their sum. In addition to numbers, other types of values ​​can be added: functions, vectors, matrices, polynomials, and in general, elements of any type of mathematical object on which a "+" operation is defined. The sum of infinite sequence is called sequence. They involve the concept of limits and are not considered in this article.

Given that:

9 red candies

43 orange candies and 14 yellow candies.

Therefore, there are  = 9 + 43 + 14

                                   = 66 candies.

Therefore, there are total 66 candies.

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Answer:

A

Step-by-step explanation:

Since you are multiplying -2 and 12, you can put them in any order as long as you get - 24/5

Answer: X = (d-b) / (a-c)

This way this worded is weird but I think I got it

Step-by-step explanation:

Subtract B from both sides

ax = cx +d -b

Then subtract CX from both sides

ax -cx =d-b

Distributive Property

x(a-c) =d-b

Divide both sides by a-c

X = (d-b) / (a-c)

There were 90 grapes in the container at first.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

Let's assume that there were x grapes in the container at first.

Arianna ate 0.45 of the grapes, which means she ate 0.45x grapes.

Alex ate 35% of the grapes, which means he ate 0.35x grapes.

The total number of grapes eaten is the sum of what Arianna and Alex ate:

0.45x + 0.35x = 0.8x

This means that 0.8x grapes were eaten, and the number of grapes left is x - 0.8x = 0.2x.

We know that there were 18 grapes left, so we can set up an equation:

0.2x = 18

Solving for x, we get:

x = 90

Therefore, there were 90 grapes in the container at first.

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If sixteen teams compete, the winner will be decided after 15 games.

Since there are 16 teams and each team is playing with some of the other, there are 16/2 =8 pairs

Out of each pair only one team will move on.

So, there are 8 teams left after the first round.

These 8 teams pair up to have 8/2 =4 pairings

Continuing this process, we get the total number of games played to determine the winner is,

8+4+2+1=15

Each game's losing team gets eliminated from the tournament. If sixteen teams participate, the winner will be decided after 15 games.

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Answer:

The answer is D.

Step-by-step explanation:

Answer:

The choice D)

\(2 \sqrt{2} \)

Step-by-step explanation:

Sin = Opposite/ hypotenuse

\( \sin(45) = \frac{x}{4} \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{4} \\ \\ \sqrt{2} x = 4 \\ \\ x = \frac{4}{ \sqrt{2} } \\ \\ x = \frac{4}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\ x = \frac{4 \sqrt{2} }{2} = 2 \sqrt{2} \\ \\ \\ x = 2\sqrt{2} \)

I hope I helped you^_^

The answer would be...

R + 7

Step-by-step explanation:

collect like terms

10r - 2r - 7r + 4 - 3 =

= r + 1

The regression equation of the data values is y = 0.3x^2 - 2.8x +4.2

Using a technology such as a graphing calculator, we simply input the data values in the graphing calculator and then wait for the result.

The x coordinates must be entered into the x values and the y coordinates must be entered into the y values

Using a graphing technology, the regression equation of the data values is y = 0.3x^2 - 2.8x +4.2

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Given that each number can be repeated, we use the following formula to find the number of possible codes.

Where n = 8 (the total number of digits) and m = 3 (the number of digits needed for a code).

In order to find the probability of randomly selecting the correct access code is 1/512 because there's just one correct code among 512 total.

At last, to find the probability of not selecting the correct code, we just have to find the complement probability, which consists in subtracting from 1.

Answer:Computer Store sells DVDs for a day =    110

No. of days the store works                 =    266

No. of DVDs saled in 266 days          =    266 days  x   110DVDs

                                                             =    29,260 DVDs

Step-by-step explanation:

The one-year forward effective annual rate of interest is approximately 9.06%, and the two-year forward effective annual rate of interest is approximately 10.78%.

Let's denote the 1-year effective interest rate by r1, the 2-year effective interest rate by r2, and the 3-year effective interest rate by r3.

Using the given information, we can write:

(1 + r1) = (1 + 0.08) * (1 + r2)^2

(1 + r2)^2 = (1 + 0.10) * (1 + r3)^3

We can solve for r1 and r2 by first solving for r3:

(1 + r3) = ((1 + r2)^2 / (1 + 0.10))^(1/3)

(1 + r3) = ((1 + r2)^2 / 1.1)^(1/3)

Substituting this into the equation for r1:

(1 + r1) = 1.08 * ((1 + r2)^2 / 1.1)^(1/3)

Simplifying:

(1 + r1) = 1.08 * (1 + r2)^(2/3) * 1.1^(-1/3)

Now we can solve for r1:

r1 = 1.08^(1/3) * 1.1^(-1/3) * (1 + r2)^(2/3) - 1

Similarly, we can solve for r2 by first solving for r1:

(1 + r1) = (1 + 0.08) * (1 + r2)^2

1 + r2 = sqrt((1 + r1) / 1.08)

Substituting this into the equation for r3:

(1 + r3) = ((1 + sqrt((1 + r1) / 1.08))^2 / 1.1)^(1/3)

Simplifying:

(1 + r3) = 1.1^(-1/3) * (1 + sqrt((1 + r1) / 1.08))^(2/3)

Now we can solve for r2:

r2 = (1 + r3)^(3/2) / sqrt(1 + r1) - 1

insert  in the values for the given interest rates, we get:

r1 ≈ 0.0906

r2 ≈ 0.1078

Therefore, the one-year forward effective annual rate of interest is approximately 9.06%, and the two-year forward effective annual rate of interest is approximately 10.78%.

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The equation y = -2x +12 in slope - intercept form.

Find the slope of the line that is parallel to y = -2x +3

Slope (m) = -2

Substitute and calculate ;

m = -2, x = 8 ,y = -4 into y = mx + b

-4 = -2 x 8 + b

Calculate the product :

-4 = -16 + b

Calculate the sum or difference:

-b = -12

b = 12

Again, Substitute m = -2 , b = 12 into y = mx +b :

y = -2x + 12

Rewrite the equation y = -2x + 12 in slope - intercept form:

y = -2x + 12

Hence, The equation y = -2x +12 in slope - intercept form.

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Answer:

the 11th term

Step-by-step explanation:

f(n) = 9+ 5n;

Let f(n) =64

64 = 9+5n

Subtract 9 from each side

64-9 = 9+5n-9

55 = 5n

Divide each side by 5

55/5 = 5n/5

11= n

Answer:

\(\boxed{3x-5y}\)

Step-by-step explanation:

=> \(9x^2-25y^2\)

Let's factor it out

=> \((3x^2)-(5y)^2\)

Using Formula \(a^2-b^2 = (a+b)(a-b)\)

=> \((3x-5y)(3x+5y)\)

So, (3x-5y) is one of the factor of it!

Answer:

6t + 909

Step-by-step explanation:

t - tutor (hours)

101 - t = waitress (hours)

$15t + $9(101-t) = 15t + 909 - 9t

6t + 909

Answer:

hope this helps you

have a great day