A wallet containing $40 has three times as many $1 notes as $5. Find the number of each kind. (Pls give answer urgently needed with working)

The volume of the rectangular prism is 428,544 cubic cm.

To find the volume of the rectangular prism, we can start by determining the dimensions of the prism.

Let's assume the length, width, and height of the prism are L, W, and H, respectively.

Given that the rectangular prism is filled exactly with 248 cubes, we can express the total number of cubes as the product of the length, width, and height of the rectangular prism:

\(L \times W \times H = 248\)

Since each cube has an edge length of 12 cm, the volume of one cube can be calculated as follows:

Volume of one cube \(= (12 cm) \times (12 cm) \times(12 cm)\)

Volume of one cube \(= 1728 cm^3\)

Now, we can set up the equation based on the given information:

\(L \times W \times H = 248 \times Volume of one cube\)

\(L \times W \times H = 248 \times 1728 cm^3\)

To find the volume of the rectangular prism, we need to calculate the right side of the equation:

\(248 \times1728 = 428,544 cm^3\)

Therefore, the volume of the rectangular prism is \(428,544 cm^3\).

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The number of heads tossed on four distinct coins is a discrete random variable.

A discrete random variable can be a count or a finite set of values. Out of the options given in the question, the random variable that is discrete is the number of heads tossed on four distinct coins.

The correct option is: The number of heads tossed on four distinct coins is a discrete random variable.

The time spent waiting for a bus at the bus stop is a continuous random variable because time can take on any value in a given range. The amount of water traveling over a waterfall in one minute is also a continuous random variable because the water can flow at any rate.

The mass of a test cylinder of concrete is also a continuous random variable because the mass can take on any value within a certain range.

The number of heads tossed on four distinct coins, on the other hand, is a discrete random variable because it can only take on certain values: 0, 1, 2, 3, or 4 heads.

Hence, the number of heads tossed on four distinct coins is a discrete random variable.

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If we transform \(\triangle ABC\) to \(\triangle A'B'C\), the rule applied is \((x,y) \to (2x,2y -14)\)

Answer:

The answer is C.Standard Form. The rest are used when graphing. Hope this helps!

Let's verify all options to see which is correct.

This equation is not in point-slope form because if we compare the given equation with the formula, they both will be in different forms.

Henceforth, this equation is not in point-slope form.

This equation is not in slope intercept form because if we compare the given equation with the formula, they both will be in different forms.

Henceforth, this equation is not in slope intercept form.

This equation is in standard form because if we compare the given equation with the formula, they both will be in similar forms.

Henceforth, this equation is in standard form.

This equation is not in general form because if we compare the given equation with the formula, they both will be in different forms.

Henceforth, this equation is not in slope intercept form.

Answer: Margo does 48 activities in 4 weeks.

Step-by-step explanation:

In the calendar,

Red dots represent homework, yellow dots represent work, and green dots represent practice.

On a typical week , she uses 5 red dots, 3 yellow dots, and 4 green dots.

That means , total activity he does in a week = 5+3+4=12

Then, total activities in 4 weeks = 4 x 12 = 48

Hence, Margo does 48 activities in 4 weeks.

The greatest common divisor of each of these pairs of integers are

a) 1    b)  1    c) 12   d)  1     e)  3   g)  1     h)  2    i) 1  

f) 0 is not a positive integer, so it doesn't have a prime factorization.

The greatest common divisor (GCD), also known as the highest common factor (HCF), of two or more integers is the largest positive integer that divides each of the integers without a remainder.

To find the GCD we need to write each number as a product of prime factorization and then we need to find out the common factors which is greatest among them.

a) 10 = 2 × 5,

11 is prime

GCD(10, 11) = 1 (no common factors)

b) 21 = 3 × 7,

44 = 2 × 2 × 11

GCD(21, 44) = 1 (no common factors)

c) 36 = 2 × 2× 3 × 3

48 = 2 × 2 × 2 × 2 × 3

GCD(36, 48) = 2 × 2 × 3 = 12

d) 34 = 2  × 17,

55 = 5 × 11

GCD(34, 55) = 1 (no common factors)

e) 117 = 3 × 3 × 13,

213 = 3 × 71

GCD(117, 213) = 3

f) 0 is not a positive integer, so it doesn't have a prime factorization.

g) 123 = 3 × 41, 2347 is prime

GCD(123, 2347) = 1 (no common factors)

h) 3454 = 2 × 1727,

4666 = 2 × 2333

GCD(3454, 4666) = 2

i) 9999 = 3 × 3 × 11 × 101,

11111 = 41 × 271

GCD(9999, 11111) = 1 (no common factors)

Therefore,

The greatest common divisor of each of these pairs of integers are

a) 1    b)  1    c) 12   d)  1     e)  3   g)  1     h)  2    i) 1  

f) 0 is not a positive integer, so it doesn't have a prime factorization.

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The metric unit from pounds to tons is 250 pounds = 0.125 tons

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

250 pounds = how many tons

As a general rule, we have

1 pound = 0.0005 tons

Multiply both sides of the equation by 250

So, we have

250 * 1 pound = 0.0005 tons * 250

Evaluate the products

250 pounds = 0.125 tons

Hence, the conversion is 250 pounds = 0.125 tons

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Answer:

That´s easy and plus if it´s not to you, you can look that stuff up

Step-by-step explanation:

Answer:

4. 30

Step-by-step explanation:

-3(-10)

=3×10

= 30

Answer:

0.93

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Answer is linked

Step-by-step explanation:

The equation is in slope-intercept form, which is y = mx + b.

To graph the line, first we have to find the slope, m, and the y- intercept, b.

So, the slope is 2 and the y- intercept is 1.

We can graph this, beginning with the y- intercept, 1. The y- intercept is always on the y axis, so the (x) value will always be zero.

Plot a point at (0, 1).

Next, add more points using the slope. The slope is 2, or \(\frac{2}{1}\). Start at the point we have made on the y axis. The slope equals the \(\frac{rise}{run}\). We can rise 2 units, then run one more unit to the right. If the slope is negative, the run goes to the left. However, in this case, the slope is positive, to it slants to the right.

We end on point (1, 3). We can continue this path infinitely, some other points on the graph could be (2, 5), (3, 7), (4, 9) and (5, 11).

Connect these points to make a line.

The finished line is linked below as well.

I hope this helps :] Good luck ^^

Answer:

-14

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 1/8-3/4

17/8-3/4

17/8-6/8

11/8

6 3/5-3 4/5

33/5-19/5

14/5

1.       2 1/8 - 3/4 = 1 3/8

(work is below)

2 1/8 - 6/8

17/8 - 6/8

11/8

1 3/8

2.       6 3/5 - 3 4/5 = 2 4/5

(work is below)

6 3/5 - 3 4/5

33/5 - 19/5

14/5

2 4/5

Explanation :

First, you need to convert the mixed numbers into improper fractions. Then, you make sure the denominators are the same. (For example, in the first problem, you have to change the 3/4 to 6/8 to match the 17/8.) Then, you subtract the two fractions, and then turn the resulting improper fraction to a mixed number!

The choice that most effectively makes up the list of examples is to generate a steady stream of new technologies. Option C is correct.

Given the passage is shown in the attached images.

It most effectively creates the list of examples of new technologies listed in the following sentence:

"Communication satellites, invisible dental appliances and wireless tools."

Options other than C that are A, B and D are incorrect because they say "international cooperation", "national publicity" and "money for the agency", respectively; However, the following sentence lists examples of Technology.

Therefore, the selection that most effectively forms the list of examples that follows in the next sentence of the given passage will generate a steady stream of new technology.

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Answer

(2x + 3)=x+7

2x+3=x+7

2x-x=7-3

1x=4

To display the terms in the Fibonacci sequence, starting with Fib(0) and continuing as long as the terms are less than 10,000, a program is written with a loop construct. This loop is implemented using a `while` loop with a header line that looks like this: `while term < 10000:`.

Fibonacci sequence is named after the Italian mathematician Leonardo Fibonacci who developed a mathematical sequence in the 13th century to explain the geometric growth of a population of rabbits.

The first two terms in this sequence, Fib(0) and Fib(1), are 0 and 1, and every subsequent term is the sum of the preceding two.

The first several terms in the Fibonacci sequence are:

Fib(0) = 0, Fib(1) = 1, Fib(2) = 1, Fib(3) = 2, Fib(4)= 3, Fib(5)=5.

This program continues as long as the value of the term is less than the maximum

The output is as follows:

```1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765```

The while loop could also be used to achieve the same goal.

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Answer:

The first answer is

"Point D represents a number less than the number Point C represents"

the other answer is

"Point E represents the smallest number of all the numbers represented by the points

Step-by-step explanation:

Hope this helps!

The correct statements are third "Point D represents a number less than the number Point C represents", and fifth "Point E represents the smallest number of all the numbers represented by points".

Given information:

The number line shows 6 points A, B, C, D, E, and F.

The sequence of numbers from left to right is E, B, D, C, A, and F.

In the number line, a point or number on the right is bigger than the point or number on the left.

From this, we can conclude that:

Therefore, the correct statements are third "Point D represents a number less than the number Point C represents", and fifth "Point E represents the smallest number of all the numbers represented by points".

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The name of the solution that is obtained by working backwards , from right to left through a decision tree is (c) rollback technique

The Rollback Technique in finding a solution refers to a method where, instead of proceeding forward step by step, one works backwards from the final solution to the starting point.

This roll back approach is often used when solving problems or making decisions where the desired outcome is known, but the steps needed to reach that outcome are not.

So , by working backwards, one can identify the necessary steps and make the necessary decisions to achieve the desired outcome.

The given question is incomplete , the complete question is

What is the name for a solution that is obtained by working backwards, from right to left, through a decision tree?

(a) progressive method

(b) backwards-thinking

(c) rollback technique

(d) regressive method

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At the end of ten years, Jeri has saved $660.00.

To calculate the total amount Jeri has saved at the end of ten years, we can sum up the savings for each month over the ten-year period.

In the first year, she saves $1.00 per month for 12 months, so her total savings for the first year is:

Year 1 savings = $1.00/month * 12 months = $12.00

In the second year, she saves $2.00 per month for 12 months, so her total savings for the second year is:

Year 2 savings = $2.00/month * 12 months = $24.00

Similarly, in the third year, she saves $3.00 per month for 12 months, and so on, until the tenth year where she saves $10.00 per month.

We can calculate the total savings for each year and then sum them up to find the total savings over ten years:

Total savings = Year 1 savings + Year 2 savings + ... + Year 10 savings

Total savings = $12.00 + $24.00 + $36.00 + ... + $120.00

To simplify the calculation, we notice that the savings for each year form an arithmetic progression with a common difference of $12.00:

Year 1 savings = $12.00

Year 2 savings = $12.00 + $12.00 = $24.00

Year 3 savings = $12.00 + $12.00 + $12.00 = $36.00

The last term of the progression is $120.00 (savings in the tenth year).

We can use the formula for the sum of an arithmetic series to calculate the total savings:

Total savings = (n/2) * (first term + last term)

where n is the number of terms (in this case, 10 years).

Total savings = (10/2) * ($12.00 + $120.00)

Total savings = 5 * $132.00

Total savings = $660.00

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Answer:

18/125

Step-by-step explanation:

9514 1404 393

Answer:

  ∠B = 40°  or  140°

Step-by-step explanation:

The given angle is opposite the shortest of the given sides, so there are two possible solutions.

From the law of sines, ...

  B = arcsin(b/a·sin(A)) = arcsin(9/7·sin(30°)) = arcsin(9/14)

Possible values for angle B are ...

  B = arcsin(9/14) ≈ 40.0°

  B = 180° -arcsin(9/14) ≈ 140.0°

Answer:

5/42

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

:)

The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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The mean and standard deviation of the sample proportion when random samples of size 100 are taken from an infinite population whose population proportion is 0.2 is:

Mean:0.2 Standard deviation:0.04

A random sample is considered when we pick items in a random manner from a set. When we take samples of size n from a population where proportion p of success, we can find the sample proportion, which is the proportion of successes in the sample.

The sample proportion is usually denoted by p-hat.

The population mean and the population standard deviation for a binary variable are the following:

μ=pσ=√p(1-p)For the sample proportion p-hat, the following apply:

μ=pσ=p(1−p)n

As per the given question, population proportion p = 0.2, sample size n = 100, and using the above formula, we can find the sample proportion as follows:

μ=p=0.2σ=p(1−p)n=0.2(1−0.2)100=0.04

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Answer:

Fraction: 89/250

Percentage:35.6%

Step-by-step explanation:

Answer: 1 meter squared

Step-by-step explanation: 1 meter by one meter is one meter squared

The unit tangent vector for the parameterized curve \(\(r(t) = (3t, 2, \frac{2}{t})\)\) for \(\(t \geq 1\)\) is given by \(\(\mathbf{T}(t) = \left(\frac{3}{\sqrt{13t^2 + 4}}, 0, \frac{2}{t\sqrt{13t^2 + 4}}\right)\).\)

The unit tangent vector represents the direction in which a curve is moving at each point. To find it, we need to compute the derivative of (r(t)) with respect to t, which gives us \(\(r'(t) = (3, 0, -\frac{2}{t^2})\)\). Next, we calculate the magnitude of r'(t) using the formula \(\(\lVert \mathbf{v} \rVert = \sqrt{v_1^2 + v_2^2 + v_3^2}\)\), where\(\(\mathbf{v}\) is a vector. In this case, \(\lVert r'(t) \rVert = \sqrt{9 + \frac{4}{t^4}}\)\).

Finally, we divide \r'(t) by its magnitude to obtain the unit tangent vector: \(\(\mathbf{T}(t) = \frac{r'(t)}{\lVert r'(t) \rVert} = \left(\frac{3}{\sqrt{13t^2 + 4}}\), 0, \(\frac{2}{t\sqrt{13t^2 + 4}}\right)\)\).

This vector represents the direction of the curve at each point t on the curve.

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The statement that assigns the values of all data members of time1 to the corresponding data members of time2

countryMin = countryList[0].tvMinutes;

To assign the values of all data members of time1 to the corresponding data members of time2, you can use the following statement:

time2 = time1;

This statement will copy all the data members of time1 to time2 in a member-wise fashion, including any non-static data members such as integers or strings.

To assign the value of the 0th element's tvMinutes data member to the variable countryMin, you can use the following statement:

countryMin = countryList[0].tvMinutes;

This statement will access the 0th element of the countryList array, and retrieve the value of its tvMinutes data member, which will then be assigned to the countryMin variable.

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