List two different ways you could break up the factors in 239 x 64 to find the product. Explain why the two ways would have the same product.

The value where the histogram balances when supported at that point is called the mode of the distribution.

The mode of distribution is the value that appears most frequently in the data set. It is often used as a measure of central tendency, along with the mean and median. The mode is especially useful when dealing with categorical or discrete data, where the possible values are limited and well-defined.

For example, the mode of a list of test scores might be the score that occurs most frequently, indicating the most common level of performance. In a histogram, the mode is the value where the distribution is highest, or where the histogram balances when supported at that point.

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The conversion value of the given quantity 58 percentage in decimals is equal to 0.58.

One percentage converted to decimals is written as :

1 percentage = ( 1 / 100 )

                      =  ( 0.01 )

Now Get the value in decimals for 58 percentage using conversion factor we have ,

= 58 percentage

= ( 58 / 100 )

= ( 0.58 ) in decimal form

Therefore, the value which we get after conversion of percentage to decimals is equal to 58 percentage = 0.58 in decimals.

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The 7th term of the arithmetic sequence -3x+5, 2x+3, 7x+1, ... is: 27x-7.

To find the 7th term of the arithmetic sequence, we need to first determine the common difference between the terms. We can do this by subtracting the first term from the second term:

(2x+3) - (-3x+5) = 5x - 2

This means that the common difference between the terms is 5x - 2. Now, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Where an is the nth term, a₁ is the first term, n is the term number, and d is the common difference. Plugging in the values we have:

a₇ = (-3x+5) + (7 - 1)(5x - 2)

Simplifying the equation:

a₇ = -3x + 5 + 30x - 12

a₇ = 27x - 7

Therefore, the 7th term of the arithmetic sequence is 27x - 7.

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Answer:

6x-5 ≤ 29

Step-by-step explanation:

Let translate each part of the sentence into an equation or expression.

1.  "five subtracted from the product of 6 and a number"

2.  "is less than or equal to 29"

3.  Assemble the two expression into an equation

    Combine parts 1 and 2 into an equation.

       6x-5 ≤ 29

=============

Extra

6x-5 ≤ 29 can be simplified:

6x ≤ 29+5

6x ≤ 36

x ≤ 6

The inequality that represents the number of push-up, is p ≥ 33. The minimum number of push-ups Dean must do on each remaining day to reach his goal is 33.

A mathematical statement describing how one linear expression is either less than or greater than another is known as a linear inequality. A real number that, when used as the variable in a linear inequality, results in a true assertion is the solution. There are either an endless number of solutions to linear inequalities or none at all. If there are an unlimited number of solutions, plot the solution set on a number line or use interval notation to express the solution.

Given that, Dean has done 230 push ups.

The remaining number of push ups to reach his goal is:

R = 900 - 230

R = 670

The number of pushups he needs to do in the next 20 days to reach his goal is:

p = 670/20

p ≥ 33

Hence, the inequality that represents the number of push-up, Dean must do on each remaining day to reach his goal is p ≥ 33.

The minimum number of push-ups Dean must do on each remaining day to reach his goal is 33.

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The  single natural logarithm for the expression 4 + ln 2 - ln 4 is ln(2). So, correct option is A.

To express 4 + ln 2 - ln 4 as a single natural logarithm, we can use the properties of logarithms to combine the terms.

First, we can use the rule that ln(a) - ln(b) = ln(a/b) to simplify ln 2 - ln 4:

ln 2 - ln 4 = ln(2/4) = ln(1/2)

Now, we can rewrite the expression as:

4 + ln(1/2)

We can use another logarithmic property, ln(a) + ln(b) = ln(ab), to write this as:

4 + ln(2^(-1))

Simplifying further:

4 - ln(2)

Therefore, 4 + ln 2 - ln 4 can be expressed as a single natural logarithm of:

ln(2^2 / 2) = ln(2)

So, the answer is (a) ln 2.

In general, when simplifying expressions involving logarithms, it's helpful to remember the logarithmic properties and rules, such as the product, quotient, and power rules, as well as the fact that ln(e) = 1. By applying these rules systematically, we can simplify complex expressions into simpler forms that are easier to work with.

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Answer: (x,y)=(1,-10)

Step-by-step explanation:

y=-7x-3

5x+4y=-35

substitute the value of y

5x+4(-7x-3)=-35

solve the equation

x=1

substitute the value of x

y=-7 x 1-3

solve the equation

y=-10

A possible solution is

(x,y)=(1,-10)

Check the solution

-10=-7 x 1-3

5 x 1+4 x (-10)=-35

simplify

-10=-10

-35=-35

The ordered pair is a solution

(x,y)=(1,-10)

The algebraic expression of the statement is 5 + 3y ≤ z + 14

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

5 more than the product of 3 and a number y is less than or equal to the sum of another number z and 14

When represented as expression, we have

5 + 3y is less than or equal to z + 14

As an inequality, we have

5 + 3y ≤ z + 14

hence, the expresion si 5 + 3y ≤ z + 14

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The equation for the total cost of using a computer for t minutes at the internet cafe is C = 0.80t + 3

The cost of using a computer at the internet cafe can be represented by a linear equation, where C is the total cost and t is the number of minutes used. The equation can be written as C = 0.80t + 3, where 0.80 is the cost per minute and 3 is the initial charge.

To make a table of values, we can plug in different values of t into the equation and solve for C
 
   Number of Minutes (t)  Total Cost to Use Computer (C)
            0                            C = 0.80(0) + 3 = 3
            1                             C = 0.80(1) + 3 = 3.80
           2                             C = 0.80(2) + 3 = 4.60
           3                             C = 0.80(3) + 3 = 5.40
 
So the equation for the total cost of using a computer for t minutes at the internet cafe is C = 0.80t + 3.

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The solution to the differential equation is:

[tex]y = \int\limits [(2e^(2x) + 2e^x - 3D^2(e^x+1)^2) / (D^3+1)^2] dx + C[/tex]

What is a differential equation?

Any equation involving the derivatives of one dependent variable with respect to another independent variable is referred to as a differential equation. Differential equations are widely used in mathematics, but they also play an important role in the sciences of medicine, chemistry, physics, and engineering.

To solve this differential equation, we need to find a function y(x) that satisfies the equation. Here's how to do it:

First, we can divide both sides of the equation by D³ + 1 to get:

y = (eˣ+1)² / (D³+1)

Next, we can take the derivative of both sides with respect to x:

dy/dx = d/dx[(eˣ+1)² / (D³+1)]

Using the quotient rule of differentiation, we get:

dy/dx = [(D³+1)(2eˣ)(eˣ+1) - (eˣ+1)²(3D²)] / (D³+1)²

Simplifying the numerator, we get:

[tex]dy/dx = [2e^{(2x)} + 2e^x - 3D^{2}(e^x+1)^2] / (D^3+1)^2[/tex]

Therefore, the solution to the differential equation is:

[tex]y = \int\limits [(2e^(2x) + 2e^x - 3D^2(e^x+1)^2) / (D^3+1)^2] dx + C[/tex]

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Answer:

Elimination , $1.79

Step-by-step explanation:

You were correct with elimination! Good job , now to find the cost of fries we have to put elimination in practice. Elimination is subtracting one equation from the other to get the equation of one variable.

4x + 5y = 24.11

-4x + 3y = 20.53

        2y = 3.58

     2y/2 = 3.58/2

           y = 1.79

The volume of the solid generated when r is revolved about the​ y-axis is 3.2π.

Volume of Solid:

The volume of a solid is a measure of the space occupied by an object. This article explains how to calculate the volume of solids and the volume of regular and irregular solids.

According to the Question:

We know that:

A ( y ) = π × (f₁ (y)² - f₂ (y)²)

where,

f₁ (y) is the function further away from y axis

f₂ (y) is the function closer to y axis

f₁ (y) = 2

f₂ (y) = 2y²

A ( y ) = π × [2² - (2y)²]

A (y) = π × (4 - 4y²)

A (y) = 4π (1 - y²)

Now,

Computing V (y)

[tex]V =\int\limits^1_0 {A(y)} \, dy[/tex]

[tex]V = 4\pi \int\limits^1_0 {(1-y^2)} \, dx[/tex]

V = 4π (1 - 0.2)

V = 3.2π

Therefore, The volume of the solid generated when r is revolved about the​ y-axis is 3.2π.

Complete Question:

Let R be the region bounded by the following curves. Use the disk or washer method to find the volume of the solid generated when R is revolved about the​ y-axis. y= square root of (x/2) , y=0 , x=2

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Answer:

Step-by-step explanation:

I cant see

The required solutions to the equation are x = 2 or x = -14.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Starting with the equation:

(x + 6)² = 64

Taking the square root of both sides, we get:

x + 6 = ±8

Solving for x, we have two cases:

Case 1:
x + 6 = 8

x = 8 - 6

x = 2

Case 2:
x + 6 = -8

x = -8 - 6

x = -14

Therefore, the solutions to the equation are x = 2 or x = -14.

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On converting the length , 151 centimeter is equivalent to 4.954 feet .

The Units of measuring the length are used to measure the distance between two points of an object. There are several units of measuring length , which are : meter , centimeter , kilometer , feet .

We have to convert 151 cm to feet,

So , we use the conversion factor of 0.03281 feet per centimeter  , which means that there are approximately 0.03281 feet in 1 centimeter.

So , to convert 151 cm to feet, we multiply the number of centimeters by this conversion factor ;

Using this method, we get ;

⇒ 151 cm × 0.03281 feet/cm = 4.954 feet ;

Therefore, 151 cm is equal to approximately 4.954 feet.

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To convert temperatures in degrees Celsius to Fahrenheit, multiply by 1.8 (or 9/5) and add 32.

39.5 degrees Celsius is equal to 103.1 degrees Fahrenheit.

Temperatures, across the worlequal td, are measured either in Fahrenheit(the US temperature scale) or Celsius(the metric scale), two of the most popular and widely used scales.Temperature Conversion – Degrees Celsius into Degrees Fahrenheit.

Celsius to Fahrenheit conversion formula is all about converting the temperature denoting in Celsius to Fahrenheit. As mentioned earlier, the temperature of boiling (hot) water in Celsius is 0 degrees and in Fahrenheit is 21 degrees, the formula to convert C to F is

F = C x (9/5) + 32To convert 39.5 degrees Celsius to Fahrenheit, you can use the formula:

°F = (°C × 9/5) + 32

Substituting 39.5 for °C, we get:

°F = (39.5 × 9/5) + 32

°F = (71.1) + 32

°F = 103.1

Therefore, 39.5 degrees Celsius is equal to 103.1 degrees Fahrenheit.

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Answer:

c

Step-by-step explanation:

DO THE MATH!!!!!!!PLEASE

On converting the weight of 140 lbs to Kilogram , we get that 140 lbs is equivalent to 63.49 Kg .

The Conversion Factors is used to convert the weight between pounds and kilograms. that means :  To convert 1 pound to kilograms , We multiply the number of pounds by 0.4535  .

In this case , we have to convert 140 pounds to kilograms ;

So , we multiply the given weight in pounds with 0.4535 .

On multiplying ,

We get ;

⇒ 140 pounds = 140 × 0.4535 Kg ;

⇒ 140 pounds = 63.49 Kg .

Therefore , 140 lbs is approximately equal to 63.49 Kg .

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Answer:

1. The ball is thrown from a height of 2 ft

Step-by-step explanation:

Since 2 does not have a variable that would be the y-intercept; the y-intercept it where the ball is first getting thrown from.

The total number of miles that Parker would have to run is given as follows:

88.41 miles.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

As the number of miles increases by 5% each week, the common ratio is obtained as follows:

100% + 5% = 105% = 1.05.

Hence the number of miles each week is given as follows:

Then the total number of miles is given as follows:

16 + 16.8 + 17.64 + 18.52 + 19.45 = 88.41 miles.

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The probability of needing more than 6 rolls to get doubles is,

⇒ 3 / 20

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Each student in Mr. Jones class has two standard number cubes.

Hence, The probability of needing more than 6 rolls to get doubles is,

Total number of cubes = 20

More than 6 rolls = 3

Thus, The probability of needing more than 6 rolls to get doubles is,

⇒ 3 / 20

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Answer:

Step-by-step explanation:

w is the independent

b is the dependent

Think of it this way: the number of birdhouses depends on the amount of wood available.

John's purchasing power increased by 0.97%.

What is the inflation?

The definition of inflation in the field of economics is "mean increased money supply, but the general public often refer to a sustained increase in the general price level of goods and services in an economy over a period".

If the inflation rate was 3% and John's salary grew 4%, his salary increased more than the rate of inflation. However, his real increase in purchasing power depends on the difference between his salary growth rate and the inflation rate.

To calculate the change in John's purchasing power, we can use the following formula:

Change in purchasing power = (1 + Salary growth rate) / (1 + Inflation rate) - 1

Plugging in the values, we get:

Change in purchasing power = (1 + 0.04) / (1 + 0.03) - 1

Change in purchasing power = 1.01 / 1.03 - 1

Change in purchasing power = 0.0097 or 0.97%

Hence, John's purchasing power increased by 0.97%.

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Answer:

Anything.

Step-by-step explanation:

The reason why I say " anything " is because the fraction, [tex]\frac{1}{1}[/tex] is bascially representing the number 1, nothing else so you can put whatever you want, tens, hundreds, thousands, millions, and so on.

So whatever number you want to put it will always equal, [tex]\frac{1}{1}[/tex], But just remember to always put the number that you choose on top or the numerator such as the following:

[tex]\frac{4}{1}[/tex].

Thus, you answer is, anything.

The Olson family drinks milk at a rate of 1/6 gallon per day.

To find the rate at which the Olson family drinks milk, we need to divide the amount of milk they drink by the time it takes them to drink it.

They use up a 1/2-gallon jug every 3 days, so their rate of milk consumption is:

(1/2 gallon) ÷ (3 days) = 1/6 gallon per day

A gallon is a unit of volume measurement commonly used in the United States and some other countries. There are different types of gallons, but the most commonly used ones are:

US liquid gallon (abbreviated as "gal" or "US gal"): This is a unit of volume used for measuring liquid substances. It is defined as exactly 3.785411784 liters or approximately 0.83267418 Imperial gallons.

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Answer:

$14,498.1

Step-by-step explanation:

To find the amount Rob will have in 5 years with compound interest, we can use the formula:

A = P (1 + r/n)^(nt)

where:

A = the future value of the investment

P = the principal amount invested

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, we have:

P = $7,869 (the principal amount)

r = 13% or 0.13 (the annual interest rate)

n = 1 (the interest is compounded annually)

t = 5 (the number of years)

Substituting these values into the formula, we get:

A = $7,869 (1 + 0.13/1)^(1*5)

A = $7,869 (1.13)^5

A = $14,964.92

Therefore, to the nearest cent, Rob will have $14,964.92 in 5 years.

The number of $56 dollar tickets to center section was 200 and the number of tickets costing $38 to the left and right sections were 200.

Let us consider the number of tickets to the center section be x and right and left sections be y.

Here the total number of tickets sold are 540.

So,  x+ y = 540  ---------> i

The cost of tickets cost $56 will be 56x

The cost of tickets cost $38 will be 38y.

The total cost was given as $24120

So, 56x+ 38y = 24120 -----------> ii

Multiplying equation i with 56,

56x + 56y = 30240  ------------> iii

Subtracting equation ii from equation iii

   56x+ 56y = 30240

-   56x + 38y = 24120

So 18y = 6120

      y = 6120/18 = 340

Since x+ y = 540

          x+ 340 = 540

          x = 540- 340 = 200

So the number of $56 ticket sold is 200 and the number of $38 ticket sold is 340.

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Answer:

1/27

Step-by-step explanation:

Probability of DeeDee choosing Yogurt in diary = 1/3

Probability of DeeDee choosing pineapple as fruit = 1/3

Probability of DeeDee choosing cherries as toppings = 1/3

So the Probability of DeeDee's shake being made with yogurt pineapple and cherries = 1/3×1/3×1/3 = 1/27

Step-by-step explanation:

Principal (P)=$7869

Rate (R)= 13%

Time (T)= 5 years

Compound Interest (CI)=?

We know that,

CI = P { (1+R/100)^T -1}

= $7869 {(1+13/100)^5 -1}

= $7869 {(113/100)^5 -1}

= $7869 {(1.13)^5 -1}

= $7869 {1.84-1}

= $7869 × 0.84

= $6609.96

Compound Amount= CI+p

= $6609.96+7869

= $14478.96

Therefore, he will have $14478.96 after 5 years.

Answer:

Step-by-step explanation:

3*6=18