If one earthquake is 31 times as intense as another, how much larger is its magnitude on the Richter scale?

Answer:

  (c)  40.75°

Step-by-step explanation:

Given an isosceles triangle with one angle 98.5°, you want the measures of each of the other two angles.

The sum of angles in a triangle is 180°, so we have ...

  2x + 98.5° = 180° . . . . . . x is the unknown angle measure

  x +49.25° = 90° . . . . . . divide by 2

  x = 40.75° . . . . . . . . . . subtract 49.25°

The measure of one of the congruent angles is 40.75°.

Answer:

the lines are NOT perpendicular because their slopes aren't negative reciprocals

The inequality used to determine the maximum number of days Miguel can afford to rent while staying within his budget is 202.5 + 36.39x ≤ 480.

What is an inequality?

An inequality is a comparison between two or more mathematical expressions. It can be of the form ≤, ≥, < or >.

We are given per day charges as $36.39 and the charges per mile as $0.90.

Also, it is given that in total 225 miles have been driven.

So, the charges of 225 miles are:

⇒225 x 0.90

⇒$202.5

It is given that he can spend maximum $480.

So, for the maximum number of x days, we get the inequality as

202.5 + 36.39x ≤ 480

Hence, the inequality used to determine the maximum number of days Miguel can afford to rent while staying within his budget is

202.5 + 36.39x ≤ 480.

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Answer:

a) Coefficient of Variation for Height = 4.46%

b) Coefficient of Variation for Ages

= 12.26%

c)Comparing both Variations, the coefficient of variation for ages is larger than that of the mean and this is due to the fact that the

Step-by-step explanation:

Coefficient of Variation formula = Standard deviation / Mean × 100%

From the attached diagram, we are given sample data

1) For the Height

a) Mean of the Heights

= Sum of term/ Number of terms

= 74 + 70 + 70 + 76 + 77 + 72 + 75+ 70 + 70 + 80 + 75 + 75/12

= 884/12

= 73.66666667

b) Standard Deviation of Heights

For Sample data, the formula

=√ (X - Mean)²/n - 1

= 3.284490644

c) Coefficient of variation for Heights

Coefficient of Variation formula = Standard deviation / Mean × 100%

=( 3.284490644/73.66666667) × 100

= 0.04458584584 × 100

= 4.45858458441%

≈ 4.46%

2) Mean of ages

= Sum of terms/ Number of terms

= 21 + 26 + 22 + 27 + 29 + 26 + 27 + 29 + 30 + 31 + 31 + 31/12

= 330/12

= 27.5

b)Standard Deviation of Ages

For Sample data, the formula

=√ (X - Mean)²/n - 1

= √ (21 - 27.5)² + (26- 27.5)² +( 22- 27.5)² + (27- 27.5)² + (29- 27.5)² +( 26- 27.5)² +( 27- 27.5)² + (29- 27.5)² + (30 - 27.5)² + (31- 27.5)² + (31- 27.5)²+ (31- 27.5)²/12

=√ -6.5² + -1.5² + -5.5²+ -0.5² + 1.5² + -1.5² + -0.5² + 1.5² + 2.5² +3.5² + 3.5² + 3.5²/ 11

= √125/11

= √11.36363636

= 3.370999312

c) Coefficient of Variation

= Coefficient of Variation formula = Standard deviation / Mean × 100%

= (3.370999312/27.5) × 100

= 0.12258179316 × 100

= 12.258179316%

It should be noted that the coefficient of variation for height will be 4.46%.

The Coefficient of Variation formula will be:

= Standard deviation / Mean × 100%

The mean of the heights will be:

= Sum of term/ Number of terms

= 74 + 70 + 70 + 76 + 77 + 72 + 75+ 70 + 70 + 80 + 75 + 75/12

= 884/12

= 73.7

The standard deviation of heights is 3.28. Therefore, the coefficient of variation for heights will be:

= ( 3.28/73.7) × 100

= 4.46%

The mean of ages will be:

= 21 + 26 + 22 + 27 + 29 + 26 + 27 + 29 + 30 + 31 + 31 + 31/12

= 330/12

= 27.5

The standard deviation of ages is 3.37. Therefore, the coefficient of variation will be:

= (3.37/27.5) × 100

= 0.123 × 100

= 12.3%

In conclusion, the coefficient of variation for ages is larger than that of the mean.

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The expression for the sum of 1 cubed, 2cubed and 3 cubed is 1² + 2³ + 3³ and the value is 36.

It should be noted that the information is to find the expression for the sum of 1 cubed, 2cubed and 3 cubed.

This will be:

= 1³ + 2³ + 3³

= 1 + 8 + 27

= 36

Therefore, the correct answer is 36.

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Answer:

8

Step-by-step explanation:

each corner of the cube is a vertex

Answer:

Mean: 8.25

Step-by-step explanation:

*I used a calculator*

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

1. Commutative property

2. Associative property

Answer:

5

Step-by-step explanation:  3. You can make the addition easier by finding a common denominator 12.

7/4 + 1/2 + 5/3 + 1/3 + 1/4 + 1/2 --> 21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12  need to multiply every numerator and denominator by the same number until the denominator is equal to 12. When it is 12 you can add up all the fractions to get 5.

The total amount of money Carol originally invested is £22,000 in the bank account.

Compound interest is interest that is calculated not only on the initial amount of money invested or borrowed, but also on any accumulated interest from previous periods.

This results in exponential growth or accumulation of interest over time.

Let X be the amount that Carol originally invested in the account.

After 1 year, the amount of money in the account will be X(1+0.025) = X(1.025).

After Carol withdrew £1000, the amount of money in the account will be X(1.025) - £1000.

After 2 years (i.e. on 1st January 2016), the amount of money in the account will be (X(1.025) - £1000)(1+0.025) = (X(1.025) - £1000)(1.025).

We know that the amount of money in the account on 1st January 2016 was £23,517.60, so we can write the equation:

(X(1.025) - £1000)(1.025) = £23,517.60

Expanding the left-hand side and simplifying, we get:

X(1.025)² - £1000(1.025) = £23,517.60

X(1.025)² = £24,567.63

Dividing both sides by (1.025)², we get:

X = £22,000 (rounded to the nearest pound)

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The complete question is -

On the 1st of January 2014, Carol invested some money in a bank account. The account pays 2.5% compound interest per year. On the 1st of January 2015, Carol withdrew £1000 from the account. On the 1st of January 2016, she had £23 517.60 in the account. Work out how much Carol originally invested in the account?

Answer:

the are is all the the lengths on the shape your using added

Step-by-step explanation:

Answer:

Describe the two functions f(x) and g(x) , using the terms increasing, decreasing, maxima and minima. The graph of f(x) is periodic.

Answer:

Step-by-step explanation:

The probability she pulls out a purple piece of candy would be 0.22.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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Answer:

Base, b = 4.5 yards

Step-by-step explanation:

Given the following data;

Area of triangle = 45 square yards

Height = 20 yards

To find the base of the triangle;

Mathematically, the area of a triangle is given by the formula;

Area of triangle = ½ * b * h

Where;

b is the base of the triangle.

h is the height of the triangle.

45 = ½ * b * 20

90 = 20b

Base, b = 90/20

Base, b = 4.5 yards

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

I've done this question: Its batch 5

Step-by-step explanation:

It has to be all equal proportions

Step-by-step explanation:

D batch 5

c. batch 4

so d and c

Answer:

0.920

I think this is right

Mathematically, it will take you 315 minutes (5 hours, 15 minutes) at most to visit with all 7 clients.

We can employ mathematical operations, including addition, subtraction, division, and multiplication to determine the total time required to visit the seven clients.

Since we know that a client requires 3/4 hours or 45 minutes of your visiting time, we can multiply 45 minutes by 7.

The product of the multiplication operation gives 315 minutes, which we can convert into hours and minutes by a division operation.

The number of clients visiting today = 7

The time it a client requires of your visit time = 3/4 hours

3/4 hours = 45 minutes (0.75 x 60)

For the 7 clients, it will take you 315 minutes (45 x 7)

315 minutes equal 5 hours and 15 minutes.

Thus, using basic mathematical operations, we can conclude that, at most, you require 5 hours and 15 minutes to attend to all seven clients today.

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The Circle Sector Area correct answer is: O n(30in)2

To calculate the area of the sector in the circle, you would typically use the formula:

Area = (θ/360) * π *\(r^2\)

where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

From the options you provided, the correct choice would be:

O n(30in)2

This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)

Therefore, the Circle Sector Area correct answer is: O n(30in)2

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The graph of the absolute value function is

Then, using the rules of transformation of functions you can graph the given function. Some of these rules are:

*If you have -f(x) the function is reflected over the x-axis.

*If you have f(x-h) the function moves h units to the right.

*If you have f(x) + k the function moves k units up

*If you have a*f(x), where a > 1, the function is stretched vertically by a factor of a.

So, in this case

And the graph will be

Now, by definition, the domain of a function f(x) is the set of all values for which the function is defined, so since the absolute value function is defined for all reals, then the domain of this function will be

On the other hand, the range of the function is the set of all values that y or f(x) takes. So, as you can see in the graph, the maximum value that the function takes is 1, then the range of this function will be

On the other hand, As you can see in the graph, the function has an increasing interval for the x whose values ​​are in

And the function has a decreasing interval for the x whose values ​​are in

Some rules of transformation of functions:

*If you have -f(x) the function is reflected over the x-axis.

*If you have f(x-h) the function moves h units to the right.

*If you have f(x) + k the function moves k units up

*If you have a*f(x), where a > 1, the function is stretched vertically by a factor of a.

The difference in overall loss or gain between sell at the current day's high price or low price is found tp be the difference in overall gain as $280.10

The third option is correct.

High price value: 115 shares * $105.19 per share = $12,084.85

Low price value: 115 shares * $103.25 per share = $11,858.75

High price value: 30 shares * $145.18 per share = $4,355.40

Low price value: 30 shares * $143.28 per share = $4,298.40

The overall value at high price:

$12,084.85 + $4,355.40

= $16,440.25

The overall value at low price:

$11,858.75 + $4,298.40

= $16,157.15

In conclusion, the difference in overall gain or loss:

$16,440.25 - $16,157.15 = $280.10

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Answer:

588200

Step-by-step explanation:

3% of 826,000 is 24780, 24780 x 10 years is 247800

826,000-247800= 588200

The present age of the man is 36 years and his son is 11 years.

Answer:

Solution given:

let the age of man be x.

and his son be y.

By question

x-6=6(y-6)

x=6y-36+6

x=6y-30. ......(1)

and

3(x+4)=8(y+4)

3x+12=8y+32

3x=8y+32-12

3x=8y+20. ...(2)

substituting value of x in equation 2 ,we get

3(6y-30)=8y+20

18y-90=8y+20

18y-8y=90+20

10y=110

y=110/10

y=11 years

again substituting value of y in equation 1 we get

x=6*11-30

x=66-30

x=36 years

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The relationship between the depth(d), the base area (b) and volume (V) is d = 2400/b

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Let d represent the depth of the tank, b represent the area of the base and V represent the volume.

The depth of water is inversely proportional to the area of its base at constant volume. Hence

d = V/b

When b = 200 ft² and d = 12:

12 = V/200

V = 2400

d = 2400/b

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The function f(-4) has a value of -158

From the question, we have the following function that can be used in our computation:

f(k) = 6k+ + 2k3-6,

Rewrite properly

So, we have

f(k) = 6k + 2k³ - 6,

The notation f(-4) means that k = -4

So, we have

f(-4) = 6(-4) + 2(-4)³ - 6,

Evaluate

f(-4) = -158

Hence, the value is -158

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Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The translation does not change the shape and size of the geometry. But changes the location.

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

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Answer:

Step-by-step explanation:

I don't know what the Ray tool is, but I can give you the graph using Desmos.

You should note a couple of things.

Answer:

c , I think :))))))))))))

Answer: C

Step by Step Explanation:

Can not give, sorry