Hiroshi is 6 years older than Kaido. Saitama is three times as old as Hiroshi. The sum of their three ages is 79 Find the ratio of Kaido's age to Hiroshi's age to Saitama's age. (Use the letter x for any algebraic method) 14°C Heavy rain soon Optional working Search Answer: Total marks: 4 hp​

Answer: -4

Step-by-step explanation:

The common ratio of the geometric sequence  \(19, -76, \ 304, \ ...\) is \((-4)\) .

Geometric sequence also known as a geometric progression, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. i.e.  \(r=\frac{a_{k+1} }{a_{k} }\)

Common ratio the number which is multiplied (or divided) at every stage of a geometric sequence.

We have,

Geometric sequence  \(19, -76, \ 304, \ ...\)

Here,

\(a_{1} =19, \ a_{2} =(-76), \ a_{3} =304\)

So,

\(r=\frac{-76}{19}\)

\(r=(-4)\)

So,

Common ratio of the given geometric sequence  is \((-4)\) .

Hence, we can say that the common ratio of the geometric sequence  \(19, -76, \ 304, \ ...\) is \((-4)\) .

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Answer: Finally, translate the circles back to their original positions. This will not change their similarity. Therefore, ⊙O and ⊙P are similar.

Step-by-step explanation:

To construct a circle circumscribed about triangle △DEF, follow these steps:

Draw the perpendicular bisectors of the sides of the triangle. Each bisector should intersect the opposite side of the triangle at a point.

Find the point of intersection of any two perpendicular bisectors. This point is the center of the circle.

Measure the distance from the center to any of the vertices of the triangle. This distance is the radius of the circle.

Draw the circle with the center and radius found in the previous steps. The circle should pass through all three vertices of the triangle.

To prove that ⊙O and ⊙P are similar using similarity transformations, follow these steps:

Translate both circles so that their centers coincide with the origin. This will not change their relative positions.

Scale one of the circles by a factor equal to the ratio of the radii of the two circles. This will make the two circles have the same size.

Since both circles are centered at the origin and have the same size, they must be similar. This is because any two circles with the same size are either congruent or similar.

Finally, translate the circles back to their original positions. This will not change their similarity. Therefore, ⊙O and ⊙P are similar.

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Solution

- The domain is the set of all x-values for which the function is defined.

- Thus, we can answer the question as follows:

- The domain is -3, -2, 1, 6

- The answer is

Option B:

The calculation; (9.04-8.23+21.954+81.0) * 3.1416 should have three significant figures.

To determine the number of significant figures in a calculation, we follow these rules:

1. When adding or subtracting numbers, the result should have the same number of decimal places as the number with the fewest decimal places.

2. When multiplying or dividing numbers, the result should have the same number of significant figures as the number with the fewest significant figures.

Let's calculate the expression:

(9.04 - 8.23 + 21.954 + 81.0) * 3.1416

First, perform the addition and subtraction:

(0.81 + 21.954 + 81.0) * 3.1416

= 103.764 * 3.1416

Next, perform the multiplication:

325.8512544

To determine the number of significant figures, we look at the original numbers involved in the calculation.

9.04 has three significant figures.

8.23 has three significant figures.

21.954 has five significant figures.

81.0 has three significant figures.

3.1416 has five significant figures.

Among these numbers, the number with the fewest significant figures is 81.0 with three significant figures.

Therefore, the result of the calculation, 325.8512544, should have three significant figures to match the least precise value.

In scientific notation, the result would be expressed as 3.26 x 10^2.

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The given calculation would yield a result with five significant figures because we base our significant digits off of the least precise term within the parentheses, which is 81.0. The result is then rounded according to this rule.

In the case of the calculation (9.04-8.23+21.954+81.0) * 3.1416, it's important to first consider the rule for significant figures in calculations - the result should be reported with the smallest number of decimal places in the numbers used in the calculation. The number 81.0 has two numbers after the decimal point, therefore, our final answer should have two numbers after the decimal point. When you calculate the inside of the parentheses, the result is 103.764. Multiplying that by 3.1416 would approximately yield 325.854. Rounding this to the least precise measurement (which is to two decimal places due to 81.0) would give us 325.85 which has five significant figures, effectively limiting our calculated value to five significant figures.

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Therefore, the trace is the hyperbola \(y^2 - z^2 = 16 - k^2\) in the y-z plane.

To find the trace of the quadric surface \(x^2 + y^2 - z^2 = 16\) in the plane x = k, we substitute x = k into the equation and solve for y and z.

Substituting x = k, we have:

\(k^2 + y^2 - z^2 = 16\)

Now we can rearrange the equation to isolate y and z:

\(y^2 - z^2 = 16 - k^2\)

This equation represents a hyperbola in the y-z plane. The traces of the quadric surface in the plane x = k are given by the equation \(y^2 - z^2 = 16 - k^2.\)

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Sure. Here are the steps I took to estimate the percent of mini chocolate chips in Container 3:

1. I assumed that each scoop of chocolate chip dough contains the same amount of mini chocolate chips.

2. I estimated that Container 1 contains 20% mini chocolate chips and Container 2 contains 40% mini chocolate chips.

3. I multiplied the percentage of mini chocolate chips in each container by the number of scoops I added to Container 3.

4. I added the two results together to get an estimate of the percentage of mini chocolate chips in Container 3.

The estimated percentage of mini chocolate chips in Container 3 is 32%.

Here is a more detailed explanation of each step:

1. I assumed that each scoop of chocolate chip dough contains the same amount of mini chocolate chips because I did not have any other information to go on. This assumption may not be accurate, but it is the best I can do with the information I have.

2. I estimated that Container 1 contains 20% mini chocolate chips because I know that most chocolate chip cookie dough contains between 10% and 30% mini chocolate chips. I chose 20% as my estimate because it is in the middle of this range.

3. I estimated that Container 2 contains 40% mini chocolate chips because I know that some chocolate chip cookie dough contains more than 30% mini chocolate chips. I chose 40% as my estimate because it is a high percentage, but it is not unrealistic.

4. I added the two results together to get an estimate of the percentage of mini chocolate chips in Container 3. This gave me an estimate of 32%.

It is important to note that this is just an estimate. The actual percentage of mini chocolate chips in Container 3 could be higher or lower than 32%. This is because my assumptions about the percentage of mini chocolate chips in each container may not be accurate.

Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

The value of the objective function at this point is Z = 840.  The solution (7, 7) is feasible.

a. Formulation of linear programming model:To solve this problem, the following linear programming model can be used:x1 = Activity 1 (in units)x2 = Activity 2 (in units)Maximize Z = 60x1 + 50x2 subject to30x1 + 126x2 ≤ 4,752 (Acceptable limit)60x1 + 126x2 ≤ 8,436 (Benefit 1)Step-by-step explanation is given below:Function: Linear Programming modelSolution:

a. Formulation of linear programming model:To solve this problem, the following linear programming model can be used:x1 = Activity 1 (in units)x2 = Activity 2 (in units)Maximize Z = 60x1 + 50x2 subject to30x1 + 126x2 ≤ 4,752 (Acceptable limit)60x1 + 126x2 ≤ 8,436 (Benefit 1)  

b. Checking for feasible solutionsWe need to check the following solutions:(x1, 32) (7, 7) (7, 8) (8, 7) (8, 8) (8, 9) (9, 8)Let us substitute the values in the linear programming model for each solution:Solution: (x1, 32)30x1 + 126(32) = 4,752 + 4,032 = 8,784 > 4,752 (Infeasible)Solution: (7, 7)30(7) + 126(7) = 966 < 4,752 (Feasible)60(7) + 126(7) = 1,092 < 8,436 (Feasible)Solution: (7, 8)30(7) + 126(8) = 5,070 > 4,752 (Infeasible)Solution: (8, 7)30(8) + 126(7) = 5,016 > 4,752 (Infeasible)Solution: (8, 8)30(8) + 126(8) = 5,196 > 4,752 (Infeasible)Solution: (8, 9)30(8) + 126(9) = 5,322 > 4,752 (Infeasible)Solution: (9, 8)30(9) + 126(8) = 5,358 > 4,752 (Infeasible)Therefore, only the solution (7, 7) is feasible.

c. Expressing the model in algebraic form:We have,x1 = Activity 1 (in units)x2 = Activity 2 (in units)Maximize Z = 60x1 + 50x2 subject to30x1 + 126x2 ≤ 4,752 (Acceptable limit)60x1 + 126x2 ≤ 8,436 (Benefit 1)The solution x = (7, 7) is feasible and optimal, with Z = 60(7) + 50(7) = 840.d. Using the graphical method:Below is the graph plotted for the above linear programming model:graph{(y-4752)/126<=-(3/2)x+316}The feasible region is given by the shaded region in the graph. The optimal solution is (7, 7), which is at the point of intersection of the two lines. The value of the objective function at this point is Z = 840.

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Answer:

x and y can be any two numbers greater than zero such that y is also greater than x

D.no more than 45

C.50 miles per hour

Step-by-step explanation:

Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .

Suppose we take y= 9 and x= 3 then

9/3 > 1

3>1

Also

3/9 < 1

1/3 < 1

x and y can be any two numbers greater than zero such that y is also greater than x

2. Total weight that can be carried is 3000 pounds.

The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.

The smaller machines weigh 60 pounds

The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.

3. Total distance = Speed * time

                           = 48 * (40/60) = 32 miles

New distance = 32+ 8= 40 miles

New time = 48 minutes

Speed = distance / time = 40/ 48/60=  50 miles per hour

The function f(x,y) does not have any other stationary points.Step by step explanation to find all derivatives of

f(x,y) = x^0.9 y^1.8

and the number of stationary points it has is given.

To find the derivatives of

f(x,y)

= x^0.9 y^1.8

and the number of stationary points it has, use the following steps:

Derivatives of f(x,y)

To find the derivatives of f(x,y), differentiate the equation partially with respect to x and y individually.Partial derivative with respect to x: Differentiating f(x,y) partially with respect to x,

we get:fx

= ∂f/∂x

= 0.9 x^-0.1 y^1.8

Partial derivative with respect to y: Differentiating f(x,y) partially with respect to y,

we get:fy

= ∂f/∂y

= 1.8 x^0.9 y^0.8

Stationary points A stationary point is a point where the partial derivatives of f(x,y) are equal to zero. To find stationary points, we will equate the partial derivatives to zero

.fx

= 0.9 x^-0.1 y^1.8

= 0fy

= 1.8 x^0.9 y^0.8

= 0

We get two equations:

0.9 x^-0.1 y^1.8

= 01.8 x^0.9 y^0.8

= 0

We can easily find that when x

=0 or y

=0,

the above equations are equal to zero. Therefore,

the point (0,0) is a stationary point of the function.

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Answer:

y = 4x +17

Step-by-step explanation:

we can find the equation of line when given two points or a point and the gradient/slope.

In the above line we have two points (0,10) and (10,50),

The slope of the line is therefore 4

 Parallel lines have equal slopes or gradient, therefore the slope of the other line is still 4. And the line pases through a point (2,25), hence

Equation will be, (y-25)/(x-2) = 4

                          = y-25 = 4x-8

                          = y =4x +17

Thus the appropriate equation is y = 4x +17

Answer:

Y = 4 x + 17

Step-by-step explanation:

Confirmed. Just took it

The Louisa age as per the given information about the age is equal to 14 years old.

Age of Desmond = 72 years

Let us consider 'D' to represent Desmond's age.

Relation between ages is equal to,

Samuel is 1/3 of Desmond's age, so Samuel's age is (1/3)D.

Also, Anima is 5/6 as old as Samuel,

So Anima's age is (5/6)(1/3)D = (5/18)D.

We know that Desmond is 72 years old, so D = 72.

Substituting this value into the expressions for Samuel's and Anima's ages, we get,

Samuel's Age = (1/3)(72)

                       = 24

Anima's Age = (5/18)(72)

                     = 20

Now we can use the information about Louisa's age to find her age.

Louisa's age is a quarter of Amina's age plus 9.

Louisa's Age = (1/4)(20) + 9

                      = 14

Therefore, Louisa age is equal to 14 years old.

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The above question is incomplete, the complete question is:

Desmond is 72 years old , Samuel is 1/3 of Desmond and Anima is 5/6 as old as Samuel. If Louisa is a quarter the age of Amina added to 9. How old is Louisa?​

Answer: The unit value of a cubic centimeter (cm^3) is the same as the metric measurement of a milliliter (mL).

This is because 1 milliliter is equal to 1 cubic centimeter. In other words, if you have a cube that measures 1 centimeter on each side, its volume would be 1 cubic centimeter, which would also be equivalent to 1 milliliter of volume.

This relationship between cm^3 and mL is commonly used in scientific and medical measurements involving liquids and gases.

The unit value of a cubic centimeter (cc) is equivalent to one milliliter (mL) in the metric system. Both cubic centimeters and milliliters are used to measure volume, and their conversion is straightforward: 1 cc = 1 mL.

The metric system uses base units such as meters, liters, and grams, and applies prefixes like kilo-, centi-, and milli- to indicate larger or smaller units of measurement.
Cubic centimeters are often used to measure the volume of solid objects or the capacity of containers, while milliliters are more commonly used to measure the volume of liquids. However, both units represent the same volume and can be used interchangeably.
It is important to understand the difference between volume measurements and other metric measurements, such as length or mass. For instance, meters are used to measure length or distance, and grams are used to measure mass or weight. These units cannot be directly converted to cubic centimeters or milliliters, as they represent different physical properties.
In summary, a cubic centimeter (cc) is a unit of volume in the metric system that is equivalent to one milliliter (mL). Both units can be used to measure volume, and they have a simple conversion of 1 cc = 1 mL. Understanding the relationship between these units and other metric measurements is essential for accurately quantifying and comparing different physical properties.

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Answer:

12996

Step-by-step explanation:

Here, we want to calculate the probability of choosing a student with long hair or an A student

From the question, the number of students with long hair is 15

The number of students having an A grade is 3 + 5 = 8 students

The probability of choosing a student with long hair is;

The probability of choosing an A student is;

Finally, the probability of choosing a studen

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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Answer:

65

Step-by-step explanation:

set up the equation:

PQK+KQR=PQR

(14x-5)+(102)=(34x-3)

calculate the equation

you'll get x=5

put 5 into PQK

14(5)-5= 65

Answer:

Well, as it turns out, when two figures are similar or congruent, they have certain properties, and these properties can be used to prove relationships between the figures. When two figures are similar figures, they have the following properties: Corresponding angles have equal measure.

Step-by-step explanation:

The solution of the system is x = 5 and y = 40.

A simultaneous equation is anyone or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is a simultaneous equation.

Given:

system of equations,

8x=x+35    {equation 1}

y=8x          {equation 2}

From equation 1,

8x = x+35

7x = 35

x = 5

Substituting the value of x to the equation 2,

And y  = 8(5)

y = 40

Therefore, the solution is x = 5 and y = 40.

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Answer:

3x = 38

Step-by-step explanation:

x = 38/3

x = 12. 6666 or 12.7

Answer:

Step-by-step explanation:

3x = 38

Divide both sides by 3

x = 38/3

x = 12 2/3

Answer:A) -16

Step-by-step explanation:

Answer:

as 92 is 2 std deviaiton above mean ; th

Step-by-step expla

According to the question The local sidereal time (LST) at noon on March 21st is approximately 12:00 (option c).

To determine the LST, we need to consider the rotation of the Earth and its relation to the stars. LST is based on the apparent motion of the vernal equinox, which completes a full cycle in approximately 24 hours.

Since noon is halfway through the day, we can estimate that the LST at noon would be approximately half of 24 hours, which is 12:00. This assumes that we are considering a location where the local time is synchronized with the standard time zone and there are no factors like daylight saving time or variations in the location's longitude that can affect the LST calculation.

Therefore, the correct answer is option c) 12:00 local sidereal time.

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Answer:

Sum: Not present.

Product: 12 (achieved by using the distributive property to multiply 4 by 3).

Term: x

Factor: Not present (I think.)

Quotient: Not present.

Coefficient 2 (placed before x).

Step-by-step explanation:

Your final result will be: \(\frac{8xy + 12y}{5}\).

From the expression, we get

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are: Constant: A constant is a fixed numerical value. Variable: A variable is a symbol that doesn't have a fixed value.

The distributive property is a property of multiplication used in addition and subtraction. This property states that two or more terms in addition or subtraction with a number are equal to the addition or subtraction of the product of each of the terms with that number.

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The error sum of squares (SSE) is a measure of the variability or dispersion of the observed values around the regression line.

It is calculated by summing the squared differences between the observed values and the predicted values from the regression line. The formula for SSE is given by: SSE = Σ(yᵢ - ŷᵢ)². where yᵢ represents the observed values and ŷᵢ represents the predicted values from the regression line. In this case, the standard error of estimate (Se) is provided as 21, which is the square root of the mean squared error (MSE). Since the MSE is equal to SSE divided by the degrees of freedom (n - 2) for a simple regression problem, we can use this information to calculate SSE. Se² = MSE = SSE / (n - 2). Rearranging the equation: SSE = Se² * (n - 2). Substituting the given values: SSE = 21² * (12 - 2).SSE = 441 * 10. SSE = 4410. Therefore, the error sum of squares is 4410. Option a) is the correct answer.

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Answer:The measure of ∠ABD is (0.18x+51)° and the measure of ∠CBD is (0.07x+56)°. Find the value of x

Step-by-step explanation:Thanks for the free points!Have an amazing weekend

Answer:

This is approximately 6 meters

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

36.61 = 2 *3.14 * r

Divide each side by 6.28

36.61/6.28 = r

5.829617834

This is approximately 6 meters

Answer:

D. 6 m

Step-by-step explanation:

circumference = 36.31 m

36.31 = 2 * 3.14 * r

6.28r = 36.31

= 36.31/6.28  

= 5.8 (which is closest to choice D)

Hope this helps, and please mark me brainliest if it does!

Answer:

The answer in C

Step-by-step explanation:

if you add all the numbers and divide by 25 you get 17

Answer:

He only added Sundays run

Step-by-step explanation:

Answer:

-10 ||10||

Step-by-step explanation: