Question
The epicenter of an earthquake is the point on Earth's surface directly above the earthquake's origin. A seismograph can be used to determine the distance to the epicenter of an earthquake. Seismographs are needed in three different places to locate an earthquake's epicenter. Find the location of the earthquake's epicenter if it is 2 miles away from A(−2,5), 4 miles away from B(2,3), and 7 miles away from C(−2,−4).

Answer:

14:7, 42:21, 6:3, 48:24

Step-by-step explanation:

The ratio can be seen as 2:1 (from the provided 14:7 which is equal to 2), which would be in plums:grapes.

Your ratio of 42:21 is correct for the second column, so we can move on to the third and fourth.

We can use this equation to find your missing values for column 3:

[tex]\frac{14}{7}[/tex] = [tex]\frac{x}{3}[/tex]

Now, we can solve for x through cross multiplication:

7x = 14*3

7x = 42

x = 6

For column 4, we can set up the equation:

[tex]\frac{14}{7}[/tex] = [tex]\frac{x}{24}[/tex]

Now, let's solve for x:

7x = 336

x = 48

Therefore, your ratios will be:

14:7, 42:21, 6:3, 48:24.

Step-by-step explanation:

[tex]3x - y = 20 \\ y = 7 \\ 3x = 20 - 7 \\ 3x = 13 \\ x = \frac{13}{3} \\ x = 4.33[/tex]

The value o x for the given expression will be 9.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3x - y = 20 the value of y is 7. The value of x will be calculated as:-

3x - y = 20

3x - 7 = 20

3x = 20 + 7

3x = 27

x = 27 / 3

x = 9

Therefore, the value of x will be 9.

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Answer: it's C because 4% of 2170 is 86.8 and times 18 years is 1562.4 and 2170 minus 1562.4 equals 607.8. And C is the closest answer to that answer I gave.



Answer:

When you combine all the baking soda recipes from the recipes that use exactly 1 1/4 teaspoons, you will have the same amount of baking soda that was used in all the recipes.

Step-by-step explanation:

In other words, if you have X number of recipes that each use 1 1/4 teaspoons of baking soda, you will have X*1.25 teaspoons of baking soda in total.

It is important to notice that the question is asking about the amount of baking soda used in those exact recipes that calls for 1 1/4 teaspoons and not about the total amount of baking soda you would end up with after making all the recipes. Therefore, the total amount of baking soda you would have after making all the recipes would depend on how much was used in each recipe and how many were made .

The degree of correlation required for significance reduces as the sample size increases. As a result, the correlation size needed to determine significance will be smaller.

The size of our sample and the sample size has an impact on the significance of a sample link. For results to be relevant for high sample sizes, a minimal correlation is required. Fewer correlations and linkages are required for significance as the sample size increases.

Each sampling distribution's variability declines with the sample number and gradually moves toward leptokurtic behavior. The sample distribution's range is smaller than the range of the initial population.

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The value of R when S = 13 and T = 63 is 4361.5

A variation is a relation between a set of values of one variable and a set of values of other variables.

If R varies directly with S and inversely with T . This statement is represented in the form:

R = KS/T.

K is called proportionality constant

When R = 45 ,S = 13 and T = 100, then K=

K = RT/S

K = 45×100/5

K = 4500/5= 900

When S = 13and T = 63, then

R = KT/S

R = 900× 63/13

R= 56700/13

R = 4361.5

Therefore when S = 13 and T = 63, the value of R is 4361.5

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Without a coupon and paying $90 the customer was attended for 2 hours

When a customer with a coupon for 40% off the inspection fee pays $110 for a 4-hour repair the inspection fee is calculated

customer's pay =  (inspection fee * 40% off the inspection fee)  + charge per hour  * number of hours

40% off  means the customer paid 60% of the fees

let the inspection fee be x

110 = (x * 0.60)  + 20 * 4

110 = 0.6x + 80

110 - 80 = 4x

0.6x = 30

x = 50

a customer without a coupon

let the number of hours be y

customer's pay =  inspection fee + charge per hour  * number of hours

90 = 50 + 20 * y

90 = 50 + 20y

20y = 90 - 50

20y = 40

y = 2

the customer spent 2 hours

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Answer:

I think it's b. when you have a negative and a negative it becomes a positive

When Rollins read books it is a expression in which the  number of books he has completed is, N  =  P/( a × b )

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

In given problem,

we have to make relationship between number of books he has completed, how many pages he can read per minute and daily how many minutes he reads book.

suppose,

the number of books he has completed  = N

pages he can read per minute = a

time spent on reading per day = b

Total page in a book = P

N  =  P/( a × b )

Hence, The expression is  N  =  P/( a × b )

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Correct option is B and C, Stocks have higher risk than bonds. A bond offers fixed interest income, while a stock may offer dividends to investors.

In general, stocks are riskier than bonds simply because they do not provide investors with guaranteed returns, as opposed to bonds, which do so through coupon payments. Bondholders, who are a company's creditors, get priority in being paid back in the case of a business bankruptcy, making stocks intrinsically more volatile than bonds. Owners of common stock, on the other hand, are last in line and risk losing everything if the business fails.

Bonds would be a preferable choice for risk-averse investors who want to safely invest their money and feel secure with more standardized payout schedules.

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Answer:

X=10%

Y=30%

Step-by-step explanation:

The required percentages X and Y of copper and zinc in alloy A are given as 10% and 13.34%.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Percentage of copper in A = 1/2 [percentage of copper in ingot]
                                         = 1/2 × 20% = 10%

Percentage of zinc in A = 1/3 [percentage of zincin ingot]
                                    = 1/3 × 40% = 13.34%

Thus, the required percentages X and Y of copper and zinc in alloy A are given as 10% and 13.34%.

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The question seems to be incomplete,
Complete question.
Three specimens of Alloys A, B, and C containing copper and zinc are melted together to create an ingot containing 20% copper and 40% zinc. What are the percentages X and Y of copper and zinc in alloy A when copper is half of the copper in the ingot and zinc is 1/3 of the zinc in the ingot?

Velocity, marginal cost, and acceleration are derivatives of displacement, cost, and velocity functions.

The velocity of an object or particle describes how far it has moved or displaced over time. If the function s(t) determines the position of an object, then the velocity is its first derivative. And, this is written as s'(t). The initial blank is therefore filled with velocity.

The cost difference between producing one more product or serving one more customer is known as the marginal cost. As a result, it can be calculated by dividing the change in overall costs by the change in energy output. So, the cost function's derivative is the marginal cost. If the cost function is c(x), then its derivative c'(x) is the marginal cost.  The second blank is filled with marginal cost.

Acceleration is the time-dependent derivative of velocity. If v(t) is the velocity, then the acceleration is v'(t). The third blank is filled with acceleration.

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Its pair factors are (1, 24), (2, 12), (3, 8), and (4, 6). The prime factorization of 24 gives 2 x 2 x 2 x 3 = 23 x 3, where 2 and 3 are the prime factors of 24. The sum of factors of 24 is 60. The correct answer is 24 = 2³×3

So, the prime factorization of 24 are 2 × 2 × 2 × 3 or 23 × 3, where 2 and 3 are the prime numbers. Learn more about factors and prime factors here with us in BYJU’S and also download BYJU’S – The Learning App for a better experience. What are the factors of 24? Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.

There are many ways to factorization 24 but we have to pick one:

There is a picture of what the solution is to factorization of 24.

Therefore, the correct answer is 24 = 2³×3

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Answer: 8 employees doing both jobs.

Step-by-step explanation:

     If 4 do neither, we can subtract this from the total number of employees. This will give us the employees that work with customers, the warehouse, or both.

           36 - 4 = 32 employees

     Next, we need to find how many do both. We can add 29 and 11 together to find the total number of jobs worked in these sections (this will include employees doing both jobs).

           29 + 11 = 40 employees

     Lastly, we will subtract the total number of employees working in these sections from the number above to find how many are doing both jobs.

           40 - 32 = 8 employees doing both jobs.

Therefore, the expression for the total number of apples Laqueta has in the basket is (n+3) + m.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

A figure or a group of figures used to represent a mathematical item, an action on a mathematical object, a relationship between mathematical objects, or to organize other symbols that appear in a formula are known as mathematical symbols.

The total number of apples Laqueta has in the basket = n+m

When she puts 3 more red apples into the basket, the total number of red apples becomes n+3.

So,  the total number of apples Laqueta has in the basket is (n+3) + m.

This can be simplified as n+m+3.

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The equation of the straight line passing through the point (-4, -4) with slope 3 can be written as y = 3x + 8.

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the line with slope 3 passing through the point (-4, -4)

The equation of the straight line passing through the point (-4, -4) with slope 3 can be written as follows. We can write -

y = 3x + c

For the point ( -4, -4), we can write -

- 4 = 3 x - 4 + c

c = - 4 + 12

c =  8

Therefore, the equation of the straight line passing through the point (-4, -4) with slope 3 can be written as y = 3x + 8.

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Answer:

6358 mm

Step-by-step explanation: multiply the value of decimeters by 100,

we get 6300 mm and then we add the 58 mm in 6300 mm.

The quotient is [tex]2\frac{2}{25}[/tex]. The quotient is a mixed number.

What is a fraction bar?

With mathematics, a fraction bar is a visual representation of fractions that aids in fraction comparison and fraction operations. A part-to-whole representational model is fraction bars or fraction strips. Each fraction bar segment represents one unit of a larger whole.

Given that [tex]2\frac{3}{5}[/tex] divide by [tex]1\frac{1}{4}[/tex].

The mathematical representation is

  [tex]2\frac{3}{5}[/tex]  ÷  [tex]1\frac{1}{4}[/tex]

Convert the mixed fraction to improper fraction:

= (2×5 + 3)/5  ÷ (1×4+1)/4

=(13/5) ÷ (5/4)

To convert the division sign into a multiplication sign, take the reciprocal of 5/4.

= (13/5) × (4/5)   [Reciprocal of 5/4 is 4/5]

= 52/25

If 52 is divided by 25, the quotient is 2 and the remainder is 2.

Convert 52/25 into a mixed fraction:

52/25 =[tex]2\frac{2}{25}[/tex].

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A sine function that has an amplitude of 2, a midline of 4 and a period of 2/3 is write as:

The sine function is written considering the general formula in the form

sine function, y = A sin wx + b

where

A = amplitude

w = 2π / period

b  = midline

In the problem the values available are

A = 2

b = 4

period = 2/3

substituting the known values

sine function, y = A sin wx + b

sine function, y = 2 sin (2π / 2/3) x + 4

sine function, y = 2 sin (3π) x + 4

sine function, y = 2 sin 3πx + 4

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Answer:

72

Step-by-step explanation:

30 minus 12 is 18 and 18 is 25% of 72

The point that will be part of the linear regression line is (6,7).

The least-squares method is used to perform a linear regression on the given data points (6,7), (8,9), and (13,17). This method finds the line of best fit through the set of data points by minimizing the sum of the squares of the differences between the observed values and the predicted values from the line. To check whether a point is part of the regression line or not, we can substitute the x value of the point into the equation of the line and see if it gives the corresponding y value.

In this case, point (6,7) is part of the regression line because it satisfies the equation of the line.

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Answer:

say there are 2 colors, it is 50/50.

if there are 3 it would be a 1/3. 4 colors would be 1/4. now multiply your probability by two. i.e: 1/4 ×2 = 2/8

Answer:

x= 18,0

Step-by-step explanation:

i think i onestly i think maybe 7 cm.

Answer:

20%

Step-by-step explanation:

The probability that the first unbelted driver is in the 6th car stopped is
(1 - 0.20)^5 * 0.20,
where 0.20 is the probability that a driver does not wear their seatbelt (20%),
and (1 - 0.20)^5 is the probability that the first 5 cars stopped all have drivers who wear their seatbelts.

This simplifies to (0.8)^5 * 0.2 = 0.32768 * 0.2 = 0.065536.

The lines y = x + 3 and y = 2 · x + 2 pass through point (1, 4) on Cartesian plane.

In this problem we must graph two lines that pass through point (x, y) = (1, 4). Lines can be represented by equations of following form:

y = m · x + b

Where:

We must choose two slope-intercept combinations to generate two different lines: (x, y) = (1, 4)

Line 1

4 = m · 1 + b

4 = m + b

m = 1

4 = 1 + b

b = 3

y = x + 3

Line 2

4 = m · 1 + b

4 = m + b

m = 2

4 = 2 + b

b = 2

y = 2 · x + 2

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Answer:

One solution:

[tex]\boxed{x = 0,\;y = -\dfrac{6}{5}}[/tex]

Step-by-step explanation:

The solution strategy is to isolate one of the variables by eliminating the other. There are several ways to do this. This is my preferred way

The equations are

[tex]5y = x-6 \cdots[1]\\\\4x - 10y = 12 \cdots[2]\\\\[/tex]

Transform equation [1] into the same form as [2] with x and y variables on the left and the constant on the right:

Subtract x from both sides of equation [1]:

[tex]-x + 5y = -6\cdots[3][/tex]

Multiply equation [3] by 2 to get the coefficients of y the same
[3] x 2 gives

[tex]-2x + 10 y = -12\cdots[4][/tex]

In equations [2] and [4], the coefficients of y are the same but of opposite sign

Add equations [2] and [4] to get

[tex]4x - 10y + (-2x + 10y) = 12 + (-12)\\\\4x - 10y -2x - 10y = 12 -12\\\\4x - 2x -10y + 10y = 0\\\\2x = 0\\\\x = 0\\\\[/tex]

Substitute for x = 0 in any of the equations [1] or [2] and solve for y
Let's pick equation 1

Substitute for x = 0 in [tex]5y = x - 6\\[/tex]

[tex]5y = 0 - 6\\\\5y = -6\\\\y = -\dfrac{6}{5}\\\\[/tex]

So this is a system of equations with one solution:
[tex]\boxed{x = 0,\;y = -\dfrac{6}{5}}[/tex]

Answer:

Step-by-step explanation:43

Answer: C

Because 5(x - 4) is equal to 5 times x and 5 times -4, which is 5x - 20

Whenever you want to add clarification, explanation, or a side remark to a statement, you should use parentheses ().

3(0.4h+5)=4(0.2h+7)

When adding extraneous information or an aside to a sentence, parentheses, a pair of punctuation marks, are most frequently utilized.

Two curving vertical lines can be seen in parentheses: ( ). Parenthesis refers to a single instance of this punctuation.

To the left, we reposition every term:

3(0.4h+5)-(4(0.2h+7))=0

Parentheses are increased.

0h-(4(0.2h+7))+15=0

-(4(0.2h+7)), which we calculate as follows:

4(0.2h+7)

Parentheses are increased.

0h+28

In addition, we add up all the numbers and variables.

h+28

Resuming the equation

-(h+28)

In addition, we add up all the numbers and variables.

h-(h+28)+15=0

Parentheses are removed.

h-h-28+15=0

In addition, we add up all the numbers and variables.

-13!=0

For this equation, there is no answer.

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Answer: x⁰⁄₂ + 0 = y or x⁰⁄₂ = y

Step-by-step explanation:

Equation of a line is mx+b=y

m=slope

The slope is ʸ⁄ₓ or in this case ⁰⁄₂

b=where the line cross the y-axis which is 0, when it is 0 there is no use in write +0 after the equation, as there is no difference, but it is your choice