What is the value of x when the Richter scale rating is 3.1

The value of the missing side lengths x and y are 5√2 and 5 respectively.

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

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Answer:

its 7

Step-by-step explanation:

why did u delete my answer if its right?

Answer:

C

\( \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{16 \times 3} \\ = 4 \sqrt{3} \)

The prime factorization to write \(\sqrt{48}\) in the simplest form as  

48 = V2 -2 -2 -2 - 3 = 4V3

Prime factorization of any number indicates to express that number as a product of prime numbers. A prime number exists as a number that has precisely two factors, 1 and the number itself.

We require to express 48 as the product of its prime factors as 48.

= 2 \(\times\) 3 \(\times\) 2 \(\times\) 2 \(\times\) 2.

Therefore, \($\sqrt{48}=\sqrt{ (2 \times 2 \times 2 \times 2 \times 2)}\)

\($=4 \sqrt{3}$\)

\($4 \sqrt{3}$\) exists in the lowest radical form.

Therefore, the correct answer is option C. 48 = V2 -2 -2 -2 - 3 = 4V3.

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\(f(x)=2x^2+6x-4\\\)

Find f(-5) by substituting x = -5 in the equation.

\(f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16\)

Therefore, the answer is f(-5) = 16

Answer:

f(-5)=126

Step-by-step explanation:

what you would do first is plug -5 in for x which would give you the equation of f(-5)= 2(-5)^2 + 6(-5) -4

then you multiply the negative 5 and you will get

f(-5)= -10^2 + 30 -4

remove that square by multiplying -10 by -10 and you will get

f(-5)= 100 + 30 -4

combine like terms and you will get

f(-5)=126

i hope this helped you and that i explained it to you in a way that you understand

The area of the circular sector is equal to 49π / 10 square units.

In this problem we find the case of a circular sector, whose area (A) must be found by means of the following formula:

A = (α / 360°) · π · r²

Where:

If we know that r = 6 and α = 49°, then the area of the circular sector is:

A = (49° / 360°) · π · 6²

A = 49π / 10

The circular sector has an area of 49π / 10 square units.

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Answer:

k is -6

Step-by-step explanation:

first you need to simplify:

-6k+42=36-7k

then get the same ones together

6=-k

k=-6

Answer:

440 ≤ x ≤560

Step-by-step explanation:

The length of the segment of the MN is 10 units, by using the midpoint formula and distance formula.

The algebraic phrase is known as the distance formula, which provides the distances between two places in terms of their coordinates (see coordinate system). The distance formulas for points in rectangular coordinates in two- and three-dimensional Euclidean space are based on the Pythagorean theorem.

Since M is the midpoint of side AB and N is the midpoint of side AC, we can use the midpoint formula to find the coordinates of points M and N.

Midpoint Formula: (x₁ + x₂)/2, (y₁ + y₂)/2

For M:

(A x + B x)/2, (A y + B y)/2

= (18 + 0)/2, (0 + 0)/2

= 9, 0

For N:

(A x + C x)/2, (A y + C y)/2

= (18 + 20)/2, (0 + 0)/2

= 19, 0

Step 4: Now that we have the coordinates of M and N, we can use the distance formula to find the length of the segment MN.

Distance Formula: √((x₂ - x₁)² + (y₂ - y₁)²)

For MN:

√((19 - 9)² + (0 - 0)²)

= √(100)

= 10

Therefore, the length of the segment MN is 10 units.

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Making a graph of linear inequalities is similar to making a graph of linear equations. But with inequalities, we find a region instead of a line.

What is linear inequality?

Linear inequalities are mathematical statements that are made up of two expressions which are compared using inequality symbols.

The following steps are to be followed to make a graph of linear inequality:-

1. Solve the inequality for y.

2. Considering the inequality as a linear equation graph the line. ( If the inequality sign does not contain an equal sign then draw a dashed line; if the inequality contains an equal sign then draw a solid line.

3. Shade the region that satisfies the inequality.

Hence, a system of linear inequality is graphed similarly to that of a linear equation, but a region is obtained.

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The mean and the variance of the poisson distribution are;

Mean = 2.66

Variance = 1.277

The formula for the PMF of a Poisson distribution is;

p(x:λ) = [e^(-λ) * λ^(x)]/x! for x = 0, 1, 2......

Thus;

p(x = 0) =  [e^(-λ) * λ^(0)]/0!

e^(-λ) = 0.07

λ = - In 0.07

λ = 2.66

That is the mean

Variance is square root of standard deviation;

Variance = √√(2.66)

Variance = 1.277

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Answer:

2.65926003693 for mean and variance.

Step-by-step explanation:

First of all, when it comes to Poisson distributions, the mean and variance equal the same thing. Here we can find the mean using e^-(lambda)=0.07 therefore lambda= -ln(0.07) which equals 2.65926003693 for both.

Natural numbers are a part of the number system which includes all the positive integers from 1 till infinity and are also used for counting purpose. It does not include zero. In fact, 1,2,3,4,5,6,7,8,9…., are also called counting numbers excluding zero, fractions, decimals and negative numbers.

The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.

Natural numbers are also all numbers 1, 2, 3,4.. and so on. They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart, -4, -3, -2, -1, 0,1, 2, 3, 4,…

So in all these words, this means that natural numbers are all the numbers not including 0 and negative and whole numbers are all the numbers including 0 and negative.

The coordinates of midpoint of line segment with given endpoints (2, -1) and (-6, 0)  are ( -2 , -1/2 ) .

Mid - Point of a line segment : It is a point which divides a line segment into 2 equal halves .

Mid-Point Formula

M = ( \(x_{A}\) + \(x_{B}\) )/2 , ( \(y_{A}\) + \(y_{B}\) )/2

where   x - coordinate of mid - point =  ( \(x_{A}\) + \(x_{B}\) )/2

             y - coordinate of mid - point =  ( \(y_{A}\) + \(y_{B}\) )/2

Calculating x - coordinate :

= ( \(x_{A}\) + \(x_{B}\) )/2

= (-6+2)/2

=-4/2

=-2

Calculating y - coordinate :

= ( \(y_{A}\) + \(y_{B}\) )/2

= (0-1)/2

= -1/2

M = ( \(x_{A}\) + \(x_{B}\) )/2 , ( \(y_{A}\) + \(y_{B}\) )/2

Therefore , M =  ( -2 , -1/2 ) .

Hence , the coordinates of midpoint of line segment with given endpoints (2, -1) and (-6, 0)  are ( -2 , -1/2 ) .

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Answer:

Step-by-step explanation:

148 people

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer: 4.5 units

Step-by-step explanation:

Answer:

4.5 units

Step-by-step explanation:

You would use this equation to find the value of x: \(\frac{18}{x}\) = \(\frac{20}{5}\)

Complete question :

Q11. What is the age of the car you usually drive? (years).

Q12.) About how many times in the past year did you attend formal religious services?

Q13.) How often do you read a daily newspaper? (0 = Never, I = Occasionally, 2 – Regularly).

Q14.) Can you conduct simple transactions in a language other than English? (0 = No. 1 = Yes).

Q15. How often do you exercise (aerobics, running, etc)? (0 = Not at All. 1 Sometimes. 2 = Regularly)

Answer:

Continous, ratio

Discrete, Ratio

Categorical, ordinal

Categorical, nominal

Categorical, ordinal

Step-by-step explanation:

Continous variables usually do have an infute number of values inbetween consecutive integers while discrete numeric variables take up whole number values and has a finite number of values. The

Categorical variables are used for Qualitative variables which takes up labels rather than numeric values.

The measurement scales include ;

Ratio scale used for quantitative variables with a true zero value (that is 0, means there is no value for the variable at that point, on a ratio scale with height variable = 0 then there is no height for the measured point). it allows for mathematical calculation of data values as it has a fixed distance between point.

The interval scale is similar ot the ratio aside that it does not have a true zero value, the zero point only serves as a reference point.

The nominal scale, when numbers are used to depict Qualitative variables, such that there is no rank or order in the label. If labels are 0 and 1 for each options, then one label is not superior or inferior to the other

Ordinal variables on the other hand have a particular order or rank for the Qualitative data represented with numerical values :

Here : for a scale of 1 - 5 ; the magnitude increases from 1 through 5

1. continuous numerical, ratio

2. discrete numerical, ratio

3. categorical, ordinal or interval

4. categorical, nominal

5. categorical, ordinal or interval

just did the question! hope future students are helped

114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

Step-by-step explanation:

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

This is a basic exponential function.

\(y = {2}^{ - x} same \: as \: y = 0.5 {}^{x} \)

The (-x) exponent makes a reflection in the y-axis.

Given:

There is a figure given in the question

Required:

We need to find the surface area of given figure of pyramid

Explanation:

First we need to find the side of base square

use tan function

now to find the side of base square is

The surface area of pyramid is

where P is base of perimeter

l is the slant height which is 6 cm

B is the base area

now find P

now find B

now substitute all the values in the formula of Total surface area of pyramid

simplify as:

Final answer:

Total surface area of given figure is 681.4 square cm

Answer:

Rotation is rotating an object about a fixed point without changing its size or shape. Translation is sliding a figure in any direction without changing its size, shape or orientation.

Step-by-step explanation:

i hope this works

Answer:

h and k are simply variables that stand in for the x and y of a point. Math books could have easily have used x1, x2 y1 y2, etc, but h and k is the convention.

anyway, this is a guess n check question. Substitute the x value of the point for h, and y value for k, and whichever one gives you a true equation is the right one.

Answer:

Step-by-step explanation:

y = a(x-h)²+k is the “vertex-form equation” for a vertical parabola with vertex (h,k).

Since a>0, the parabola opens upwards. (If a<0, it opens downwards. If a=0, it is not a parabola at all.)

The parabola y = a(x-h)²+2k is the same shape as the first equation, but it is shifted vertically by k units.

Since (2,4) is a point on the first parabola, (2,4+k) is a point on the second parabola.

Their car broke down 120 miles from home.

Since both distances to and fro are the same, we have that

30t = d (1) and 20t' = d (2)

30t = 20t'   (3)

Also, since they wer gone for 10 hours, we have that t + t' = 10 (4)

So, t' = 10 - t

Substituting t' into (3), we have

30t = 20(10 - t)

30t = 200 - 20t

30t + 20t = 200

50t = 200

t = 200/50

t = 4 hours.

Substituting t into (1), we have

d = 30t

= 30 × 4

= 120 miles

So, their car broke down 120 miles from home.

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Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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The estimated raw material Inventory balance at the end of July is $27,750.

The estimated raw material inventory balance at the end of July, we need to follow the given information and calculations:

a. Each unit of finished goods requires 5 pounds of raw materials. Therefore, the total raw materials needed for production in August can be calculated as follows:

23,000 units (budgeted unit sales for September) × 5 pounds/unit = 115,000 pounds

b. The ending raw materials inventory equals 10% of the following month's raw materials production. Based on the information provided, the estimated raw materials needed to meet production in August is 111,000 pounds.

111,000 pounds × 0.10 (10%) = 11,100 pounds

This means that the ending raw materials inventory for July should be 11,100 pounds.

c. The cost of raw materials is $2.50 per pound. To find the value of the raw material inventory at the end of July, we multiply the pounds by the cost per pound:

11,100 pounds × $2.50/pound = $27,750

Therefore, the estimated raw material inventory balance at the end of July is $27,750.

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Answer:

253.75

Step-by-step explanation:

Total height of the cylinder is  8 ft . Since the tank holds 580 gallons when filled to capacity so in 1 ft height there will be  \frac{580}{8}  gallons oil when filled to capacity .

Answer:

Im pretty sure the answer is 140

Step-by-step explanation:

If the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

Suppose the selling price of a towel is x, according to the given condition,

5 = x - 15% of x

5=x-0.15x

5=0.85 x

x=5/0.85

x=5.88

Thus, if the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.

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The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

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Answer:

Assuming there all adults, it would be $1625

Step-by-step explanation: