What is the surface area of this
rectangular prism?

The mass of the decoration is 200 kg and for each passenger car is 550 kg

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

These can be represented as

(6, 3500) and (4, 2400)

The slope of the above points represent the mass of each passenger car

This is calculated as

Slope = Difference in mass/Difference in number of cars

So, we have

Slope = (3500 - 2400)/(6 - 4)

Evaluate

Slope = 550

When there are no passenger cars in the train, we have

(0, Mass of decoration)

Using the slope formula, we have

Slope = (Mass of decoration - 3500)/(0 - 6)

So, we have

Slope = (Mass of decoration - 3500)/(-6)

This gives

(Mass of decoration - 3500)/(-6) = 550

Cross multiply

Mass of decoration - 3500 = -3300

Add 3500 to both sides

Mass of decoration = 200

Hence, the mass of decoration is 200 kg

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Answer:

9:11

Step-by-step explanation:

subtract the amount of girls to get the amount of boys then put it in ratio form in the order it is asked so it is 9:11

A critical value, z subscript alpha (zα), denotes the boundary or cutoff point for a statistical test where the level of significance, also known as alpha (α), is set.

A critical value, z subscript alpha (zα), denotes the value at which the probability of observing a test statistic in the tail(s) of the sampling distribution equals the pre-determined significance level (alpha).

The critical value can be defined as the value that is compared with the parameter value in the hypothesis test to determine whether the null hypothesis will be rejected. If the value of the parameter is less than the critical value, the null hypothesis is rejected.

However, if the measured value is higher than the critical value, reject the null hypothesis and accept the alternative hypothesis. In other words, cropping divides the image into acceptable and unacceptable areas. If the value of the index falls within the rejection range, the rejection of the fact is rejected, otherwise the negative hypothesis is rejected.

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Answer:

C, 5/2

Step-by-step explanation:

3 I2x -1I + 4 = 16

Isolate absolute value:

3 I2x -1I + 4 - 4 = 16 - 4

3 I2x -1I= 12

(3 I2x -1I) / 3 = 12 / 3

I2x -1I= 4

Since the question is only asking for the positive, all you need to solve for is the +4. Solve for x

2x -1 = 4

2x -1 + 1 = 4 +1

2x = 5

2x / 2 = 5 / 2

x = 5/2 or C

Answer:

Step-by-step explanation:

boody boody

Answer:

The square root of 37 is approximately 6.0827. To determine which two integers it lies between, we can find the integers that are closest to the square root of 37.

The integer that is smaller than 6.0827 is 6, and the integer that is larger than 6.0827 is 7.

Therefore, the square root of 37 is between the integers 6 and 7.

DM is congruent to line CM because CDM is congruent to triangle CBM using the SAS congruence criteria for triangles.

Draw a diagram of the rectangle ABCD with M as the midpoint of AB. Draw lines CM and DM ( refer to the attached image). Since AB is a line segment, we know that AM is congruent to MB (because M is the midpoint of AB). Since ABCD is a rectangle, we know that AB is parallel to CD, and AD is parallel to BC. Thus, we have two pairs of parallel lines: AB and CD, and AD and BC.

Using the fact that opposite sides of a rectangle are congruent, we have CD = AB. Now, we have a pair of congruent sides (DM and CM) that are opposite each other in triangle CDM and CBM respectively. We also have another pair of congruent sides (CD and AB) that are opposite each other in both triangles. Finally, we know that the angle CMD is congruent to the angle CMB because they are vertical angles. By the Side-Angle-Side (SAS) congruence criterion, we can conclude that triangle CDM is congruent to triangle CBM.

Therefore, line DM is congruent to line CM by SAS congruence criteria.

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The scale factor of the ΔABC to the triangle ΔXYZ as evident in the task content is; 12/3 = 4.

It follows from the task content that the two triangles ΔABC and ΔXYZ are said to be similar triangles.

On this note, it can be concluded from the statement of similarity that the ratios of their corresponding side lengths must be in proportion.

Consequently, since side AC is labelled 12 and side XZ is labelled; 3, the scale factor from ΔABC to ΔXYZ is; 12/3 = 4.

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120 of the 200 dentists that participated in the survey and recommended Sparkle toothpaste.

If 60% of dentists recommended Sparkle toothpaste, then the remaining 40% did not.

To find out how many dentists recommended Sparkle toothpaste, we can multiply the total number of dentists in the survey (200) by the percentage who recommended it (60% or 0.6):

To solve for x, we can cross-multiply and simplify:

100x = 60 * 200

x = (60 * 200)/100

x = 120

Number of dentists who recommended Sparkle = 0.6 * 200 = 120

Therefore, 120 of the 200 dentists who took part in the survey recommended Sparkle toothpaste.

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Answer:

v=1

Step-by-step explanation:

The simplified value of (3⁴)⁻¹ is 1/(3⁴) , which means one over three raised to the fourth power , the correct option is (a) .

In the question ,

the expression is given as (3⁴)⁻¹ ,

the rule of law of exponents states that a⁻ⁿ = 1/aⁿ .

Using the above mentioned law of indices , the expression  (3⁴)⁻¹ can be written as ,

(3⁴)⁻¹ = 3⁻⁴ = 1/3⁴

which can be expressed in words as one over three raised to the fourth power .

Therefore , the simplified value of (3⁴)⁻¹ is 1/(3⁴) , which means one over three raised to the fourth power , the correct option is (a) .

The given question is incomplete , the complete question is

The Simplified value of (3⁴)⁻¹ is

(a) one over three raised to the fourth power

(b) one over three raised to the power of negative four

(c) −3 to the power of 4

(d) 3 to the power of 3

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Answer:

Absolute Value

Step-by-step explanation:

Absolute Value is very useful in finding the distance between two points on the number line. The distance between any two points a and b in the number line is

|a-b| or |b-a|.

The distance between points A and B can be represented as AB and the distance can be found using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

\(\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We have two points A and B:

The distance between A and B can be found using the distance formula.

Let point A is (a, b) and point B is (c, d)

The distance between points A and B can be represented as:

Using the distance formula:

\(\rm AB=\sqrt{(c-a)^2+(d-b)^2}\)

From the above expression, the distance cannot be negative because the square root of any number cannot be negative.

Thus, the distance between points A and B can be represented as AB and the distance can be found using the distance formula.

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5/1

Step-by-step explanation:

you get the whole number which is 5, turn it into a fraction which is 5/1 and it says 5 students like to sing.

I hope this helped

#5/1 is answer

Answer:

AA similarity (Postulate).

Step-by-step explanation:

The AA Similarity Postulate states that two triangles are similar if all their corresponding angles are congruent, and their corresponding sides are proportional.

In this case:

∡ACE ≅ ∡DBE (Given)

∡BED ≅ ∡AEC (Vertical Angles Theorem)

For Proportionality, you will have to get more information on the measurements of the sides. As side measurements are not given, you cannot use any similarities based on sides to prove the similarities of the triangles.

Answer: 6

Step-by-step explanation:

the biggest number that can go into both 24 and 18 evenly is 6. 24/6 is four, and 18/6 is three

the solution of question 17 to 24.

to plot any points (x,y) on the graph,

1. The x-component of the point (x, y) moves the point along a horizontal line. If the x- value is positive, the point moves “x-units” towards the right side. On the other hand, if the x-value is negative, the point moves “x-units” towards the left.

2. The y-component of the point (x, y) moves the point along a vertical line. If the y-value is positive, the point moves “y-units” in an upward direction. However, if the y-value is negative, the point moves “y-units” in a downward direction.

consider the case of (-1,-5)

here x=-1

so, x component moves on the left side,

y=-5,

so at x=-1, the point moves downward (negative y-axis) and stop at -5

the stopping is the point whose coordinates are (-1,-5).

Similarly goes with all the points.

The mass of hydrogen atoms that measures 54 u is 89.64 x 10^-24

Analysis:

If 1 u = 1.66 x 10^-24, then 54 u = 54 x 1.66 x 10^-24 = 89.64 x 10^-24

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The interval of the function f(x) = x⁵ ln(x) is increasing for x >  \(e^{(-1/5)\)  ≈ 0.818.

The interval on which function f(x) is decreasing for x < 0.

An interval in math is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers.

To determine the intervals on which the function f(x) = x⁵ ln(x) is increasing or decreasing, we need to analyze the derivative of the function. Let's find the derivative of f(x) first.

Taking the derivative of f(x) with respect to x using the product rule, we have:

f'(x) = (5x⁴)(ln(x)) + (x⁵(1/x)

= 5x⁴ ln(x) + x⁴

= x⁴ (5 ln(x) + 1)

Now, to find the intervals on which f(x) is increasing or decreasing, we need to examine the sign of the derivative f'(x).

For f'(x) = x⁴ (5 ln(x) + 1), we can determine the sign by considering the intervals where each factor is positive or negative.

x⁴: This factor is positive for x > 0 and negative for x < 0.

5 ln(x) + 1: To analyze the sign of this term, we need to consider the logarithm. ln(x) is only defined for x > 0. Since the logarithm is positive for values greater than 1, we can determine the sign of 5 ln(x) + 1 by considering the intervals where ln(x) > -1/5.

For ln(x) > -1/5, we have x >  \(e^{(-1/5)\)  ≈ 0.818.

Now, let's summarize the intervals for each factor:

x⁴: Positive for x > 0, negative for x < 0.

5 ln(x) + 1: Positive for x > \(e^{(-1/5)\)  ≈ 0.818.

Based on this information, we can determine the intervals on which f(x) is increasing or decreasing:

Increasing interval: f(x) is increasing for x > \(e^{(-1/5)\) ≈ 0.818.

Decreasing interval: f(x) is decreasing for x < 0.

In conclusion:

The function f(x) = x⁵ ln(x) is increasing for x > \(e^{(-1/5)\) ≈ 0.818.

The function f(x) is decreasing for x < 0.

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The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

Answer:

a. 677

Step-by-step explanation:

Add the three scores, 690+ 691+651 then divide by 3

equals to 677.3 so by rounding to the nearest whole point it’s 677.

The mean credit score of Ned is 677. The correct answer would be option (A).

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

The mean credit score of Ned can be calculated by adding all three credit scores and dividing the sum by 3.

So, (690 + 691 + 651) / 3

= 2032 / 3

= 677.33

Rounding to the nearest whole point, we get

= 677

Therefore, the mean credit score of Ned is 677.

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Answer:

1 hour   : 15 dollars

2 hours: 20 dollars

3 hours: 25 dollars

4 hours: 30 dollars

5 hours: 35 dollars

Step-by-step explanation:

Substitute the hour number in for h and solve. for example, if you were trying to find 5 hours, you would produce the equation c = 5(5) + 10. once you solve that you get c = 25 + 10 which is also c = 35.

The LCM of the set of numbers are:

1. {12,15} = 60

2. {16,24} = 48

3. {18,27} = 54

4. {20,28} = 140

5. {36,54} = 108

6. {9,12,24} = 72

7. {15, 20, 45} = 180

8. {6,8,12} = 24

9. {4,6,9} = 36

10. {8,9,12} = 72

The least common multiple of two or more numbers is the least multiple that is common to two or more numbers. A multiple of a number is the product of an integer and that number. For example, the multiples of 6 are 12 and 18.

Prime factors of 12 = 2 x 2 x 3

Prime factors of 15 = 3 x 5

LCM = 2 x 2  x 3 x 5 = 60

Prime factors of 16 = 2 x 2 x 2 x 2

Prime factors of 24 = 2 x 2 x 2 x 3

LCM = 2 x 2 x 2 x 2 x 3 = 48

Prime factors of 18  = 2 x 3 x 3

Prime factors of  27  = 3 x 3 x 3

LCM = 2 x 3 x 3 x 3 = 54

Prime factors of 20  = 2 x 2 x 5

Prime factors of 28  = 2 x 2 x 7

LCM = 2 x 2 x 5 x 7 = 140

Prime factors of 36  =2 x  2 x 3 x 3

Prime factors of 54  = 2 x 3 x 3 x 3

LCM = 2 x 2 x3 x 3 x3 = 108

Prime factors of 9  = 3 x 3

Prime factors of 12 = 2 x 2 x 3

Prime factors of 24 = 2 x 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 x 3 = 72

Prime factors of 15 = 3 x 5

Prime factors of 20 = 2 x 2 x 5

Prime factors of  45 = 3 x 3 x 5

LCM = 2 x 2 x 3 x 3 x 5 = 180

Prime factors of 6  = 2 x 3

Prime factors of 8= 2 x 2 x 2

Prime factors of  12= 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 = 24

Prime factors of 4  = 2 x 2

Prime factors of 6= 2 x 3

Prime factors of  9= 3 x 3

LCM = 2 x 2 x 3 x 3 = 36

Prime factors of 8 = 2 x 2 x 2

Prime factors of 9= 3 x 3

Prime factors of 12 = 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 x 3 = 72

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Answer:

35=3J-1

Step-by-step explanation:

Yes.

Btw J=12

Measurement of 5 quarts is equal to 20 cups.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

We have the measurement, 1 cup = 1/4 quarts

Let x be the number of quarts for 20 cups.

By using proportion,

1 / (1/4) = 20 / x

Cross multiplying,

x = 20 × (1/4)

x = 5

Hence the measurement of 20 cups is equal to 5 quarts.

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Thee measurement equals to 20 cups is 5 quarts.

Thus, option (a) is correct.

To determine which measurement is equal to 20 cups, compare the conversion factors between cups and each of the given measurements.

As, the conversion factors are:

1. 5 quarts

= 5 x  4 cups/quart

= 20 cups

2. 40 pints

= 40 x  2 cups/pint

= 80 cups

3. 1 gallon

= 1 x  16 cups/gallon

= 16 cups

4. 320 fluid ounces

= 320 x  0.125 cups/fluid ounce

= 40 cups

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The value of the equation A = 154,504 / 28 = 5518

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Let the dividend be p = 154,504

Let the divisor be q = 28

Substituting the values in the equation , we get

A = p / q

A = 5,518

     5518

28 | 154504

1 4 0      

 1 4 5    

 1 4 0    

     5 0  

     2 8  

     2 2 4

     2 2 4

         0

So , the remainder of the equation is 0 and the quotient is 5518

Hence , the equation is A = 5518

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Answer:

B. y=50x

Step-by-step explanation:

We can see the y intercept is 0 because the line starts at 0.

To find the slope, we can look at the first point. It is at (1, 50).

Slope=rise/run or change in y/change in x=50/1=50.

Answer:

10

Step-by-step explanation:

x x y

5x2

10

The expression e^(-3)(1+3+3^2/2!+3^3/3!+3^4/4!) equals the cumulative probability of 4 arrivals during an interval for which the average number of arrivals equals 3.

Here's a step-by-step explanation:

1. Recognize that the given expression represents the cumulative probability for a Poisson distribution.
2. Identify the average number of arrivals (λ) as 3, which is the exponent in the e^(-3) term.
3. Recognize that the terms inside the parentheses correspond to the Poisson probability mass function (PMF) for k=0, 1, 2, 3, and 4 arrivals.
4. Since the expression sums up the probabilities for k=0 to k=4, it represents the cumulative probability of 4 arrivals.
5. In summary, the expression represents the cumulative probability of 4 arrivals during an interval where the average number of arrivals is 3.

The 3rd (third term )of the sequence with  a₁ = 6 and aₙ = aₙ₋₁ • 2 using Geometric Sequence is 24.

To find the third term of the geometric sequence with a recursive formula, we can use the given formula which is a GP formula:

a₁ = 6

aₙ = aₙ₋₁ • 2

Given

First term (a₁) = 6

Therefore

Second term (a₂) = a₁ • 2

                            = 6 • 2 = 12

Third term (a₃) = a₂ • 2

                        = 12 • 2 = 24

Therefore, the third term of the sequence is 24.

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Answer:

-----------------------------------

Number of hours is h.