find the smallest number by which 339 must be multiplied so that the product is a perfect cube. also find the cube root of the perfect cube so obtained

Answer:

2144.66 cubic inches

Step-by-step explanation:

The fishbowl is shaped like a sphere the fishbowl has a diameter of 16.

What is the closest value of water in the Fishbowl in cubic inches?

From the any question, we were told to find the closest value of the water in the fishbowl in cubic inches.

This means we are to find the volume.

The volume of a sphere is given as:

4/3πr³

We are given Diameter of the fish bowl = 16 inches

Radius = Diameter/2 = 16 inches/2

= 8 inches

Hence,

Volume of the sphere (Volume of water) = 4/3 × π × 8³

= 2144.66 cubic inches

If a, b are integers, the product, a x b is odd if and only if a and b are both odd.

We have to prove that the product, a x b is odd if and only if a and b are both odd. To prove this, we need to use the definition of odd numbers. An odd number is any integer that is not divisible by 2. Now we can see that the product of two odd numbers will be odd. This is because when we multiply two odd numbers together, we get an even number of odd factors, which means the result will be odd.

On the other hand, if either a or b is even, then their product will be even. This is because the even number will have at least one factor of 2, and when we multiply it with any other number, the result will have at least two factors of 2, making it even.

Therefore, we can conclude that if a x b is odd, then a and b must both be odd, and if a or b is even, then their product will be even, not odd.

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Answer:

Step-by-step explanation:

I hope this is what you need

you could do 5.74+5 or you could do 10+ .74

or you could do 5.70+5.4

Answer:

$ 35.89

Step-by-step explanation:

Interest = p r t      p = principal   r = interest rate in decimal form  t = time

interest = $ 97   *  .037  *  10yr = $35.89

Answer:

-3/8

Step-by-step explanation:

(-2/3)³ / x = (9/8) -²

-2³/3³ = (2³/3²)²x

-2³/3³ = (2^6/3^4)x

-2³ × 3^-3 × 3^4 × 2^-6 = x

-2^-3 × 3 = x

x = -3/8

For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

To determine the value of n₀ for which Algorithm A is better than Algorithm B when B uses n√n operations, we need to find the point at which the number of operations for Algorithm A is less than the number of operations for Algorithm B.

Algorithm A: 10n log n operations

Algorithm B: n√n operations

Let's set up the inequality and solve for n₀:

10n log n < n√n

Dividing both sides by n gives:

10 log n < √n

Squaring both sides to eliminate the square root gives:

100 (log n)² < n

To solve this inequality, we can use trial and error or graph the functions to find the intersection point. After calculating, we find that n₀ is approximately 459. Therefore, For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

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R-1.3: For \($n \geq 14$\), Algorithm A is better than Algorithm B when B uses \($n^2$\) operations.

R-1.4: Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

R-1.3:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n^2$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n^2$\)

\($10 \log n < n$\)

\($\log n < \frac{n}{10}$\)

To solve this inequality, we can plot the graphs of \($y = \log n$\) and \($y = \frac{n}{10}$\) and find the point of intersection.

By observing the graphs, we can see that the two functions intersect at \($n \approx 14$\). Therefore, for \($n \geq 14$\), Algorithm A is better than Algorithm B.

R-1.4:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n\sqrt{n}$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n\sqrt{n}$\)

\($10 \log n < \sqrt{n}$\)

\($(10 \log n)^2 < n$\)

\($100 \log^2 n < n$\)

To solve this inequality, we can use numerical methods or make an approximation. By observing the inequality, we can see that the left-hand side \($(100 \log^2 n)$\) grows much slower than the right-hand side \($(n)$\) for large values of \($n$\).

Therefore, we can approximate that:

\($100 \log^2 n < n$\)

For large values of \($n$\), the left-hand side is negligible compared to the right-hand side. Hence, for \($n \geq 1$\), Algorithm A is better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

So, for R-1.4, the value of \($n_0$\) is 1, meaning Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

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The integer pairs a and b have a least common multiple of 540 and a greatest common divisor of 18 is (18, 540), (90, 108).

This implies that both numbers can be divided by 18. But, since we already know this pair of numbers, there is no need to rewrite this. There are 11 natural number pairings overall, as a result.

The greatest common divisor (GCD) or highest common factor (HCF) of the numbers 18 and 54 is 18.

Four pairs exist: (18, 540), (36, 270), (54, 180), and (90, 108).

There are 18 components in total: 1, 2, 3, 6, and 9. 1, 3, 9, and 27 make to the number 27. 1, 3, and 9 are the common variables between 18 and 27.

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Answer:

144

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

First, cancel out 16 and 56 by a common factor of 8. The resulting expression is -2/5*-15/7. Then, simply 5 and 15 by a common factor of 5. Then, you will get: -2*(-3/7). The negatives cancel out, so the answer is 6/7.

Answer:

m∠Y  = 40°

Step-by-step explanation:

The sum of the three angles of a triangle must equal 180°

Thus

m∠W + m∠X + m∠y = 180°

→   (10x + 17) +  (2x - 9) + (3x + 7) = 180

→   10X + 17 + 2X + 9 + 3X + 7 = 180

Collecting like terms
→  10X + 2X + 3X + 17 - 9  + 7  = 180°

→ 15x + 15 = 180

Subtract constant 15 from both ssides:

→ 15x + 15 - 15 = 180 - 15

→ 15x = 165

Divide both sides by 15

→ 15x/15 = 165/15

→ x = 11

m∠Y = 3x + 7

m∠Y = 3 x 11 + 7

m∠Y  = 33 + 7

m∠Y  = 40°

The sentence "the Tigers scored twice as many points as the Sharks" means that the Tigers points is 2 times the Sharks points, then we can write

Therefore, the answer is option 1

Answer:

\(\frac{3}{8}\)

Step-by-step explanation:

Subtraction refers to an arithmetic operation that represents the operation of eliminating objects from a collection. Subtraction is meant by the minus sign.

Let \(x\) be subtracted from \(\frac{83}{10}\) to get \(8\).

\(\frac{83}{10}-x=8\\\\x=\frac{83}{10}-8\\\\x=\frac{83-80}{8}\\\\x=\frac{3}{8}\)

Therefore, \(\frac{3}{8}\) should be subtracted from \(\frac{83}{10}\) to get \(8\).

Answer:

Combined volume of the two game systems  \(=416\) cubic inches

Step-by-step explanation:

Volume of a cuboid = length × breadth × height

Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall.

So,

Volume of Soham's video game system = 8 × 6 × 2 = \(96\) cubic inches

As Sean's video game system measures 1 inch longer on all sides,

the video game system measures \(8+2=10\) inches long, \(6+2=8\) inches wide, and \(2+2=4\) inches tall.

Volume of the video game system = 10 × 8 × 4 = \(320\) cubic inches.

Therefore,

Combined volume of the two game systems = \(96+320=416\) cubic inches

This declaration is True.

The anticipated variability or widespread deviation of the means from MANY unique random samples is known Sampling distribution.

The standard deviation of this distribution, i.e. the standard deviation of sample means, is called the standard error. The standard error tells you how accurate the mean of any given sample from that population is likely to be compared to the true population mean.

What is the suggest variance and fashionable deviation of the sampling distribution of the pattern mean?

Since the suggest is 1/N times the sum, the variance of the sampling distribution of the suggest would be 1/N2 instances the variance of the sum, which equals σ2/N. The widespread error of the suggest is the standard deviation of the sampling distribution of the mean.

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The given question is incomplete, complete question is:

The expected variability or standard deviation of the means from MANY different random samples is known as what quantity: a. Sampling variability b. Standard error (panel 51 from slides), itâs also said in the video c. Sampling distribution d. Parameter

The correct answer is

2 loaves of pumpkin bread and 6 loaves of banana bread. Option C.

For the solution for the Pumpkin bread:

4 eggs

3 1/2 cups of flour

Banana bread:

1 egg

1 (0.5) cups of flour

Available ingredients:

14 eggs

16 cups of flour

Assume 2 loaves of pumpkin bread and 6 loaves of banana bread

For the solution for the Pumpkin bread:

PB=4 eggs* 2

PB= 8 eggs

PB=3 *0.5 * 2

PB = 7 cups of flour

For the solution of the Banana bread:

BB =1 *6

BB= 6 eggs

For cups

BB= 1 (0.5) * 6

BB= 9 cups of flour

In conclusion, The solution of the Total used ingredients

I=8 + 6

I= 14 eggs

For cups

IC=7 + 9

IC= 16 cups of flour

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Answer:

C 2 loaves of Pb and 6 loaves of BB

Step-by-step explanation:

Answer:

4 5/6

Step-by-step explanation:

Turn both 8 1/3 and 3 1/2 into improper fractions (just to make it less complicated).

8 1/3 = 25/3

3 1/2 = 7/2

Then, try and make the denominators the same by finding the LCD (least common denominator).

The least common denominator of 3 and 2 is 6. Multiply both the denominators (3 and 2) to get 6, multiply the numerator with it as well (I can't explain this part properly, but the fractions will somehow explain).

\(\frac{25*2}{3*2}\) = \(\frac{50}{6}\)

\(\frac{7*3}{2*3}\) = \(\frac{21}{6}\)

So, then subtract (50/6 - 21/6).

50/6 - 21/6

= 29/6 = 4 5/6

So, 8 1/3 - 3 1/2 is 4 5/6.

Answer:

Step-by-step explanation:

25

If you press the reduction button 7 times, the length of the copy of the poster will be approximately 0.45 feet.

Each time the reduction button is pressed, the poster reduces by 25%. After the first press, the length of the poster becomes 75% of the original length, which is 20 * 0.75 = 15 feet. Following the second press, it reduces to 75% of 15 feet, which is 15 * 0.75 = 11.25 feet. This process continues for the next five presses: 11.25 * 0.75 * 0.75 * 0.75 * 0.75 * 0.75 * 0.75 ≈ 0.45 feet. Rounded to the nearest whole number, the length of the copy of the poster is 0 feet.

The reduction of 25% after each press leads to an exponential decrease in the length of the poster. To calculate the length after 7 presses, we multiply the original length (20 feet) by 0.75 seven times. This can be expressed as (20 * 0.75^7). The value of 0.75 represents the reduction factor of 25%. Evaluating this expression gives us approximately 0.445 feet. Rounding this to the nearest whole number, the length of the copy of the poster is 0 feet. This means that after pressing the reduction button seven times, the poster is reduced to a negligible length.

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Answer:

The two sides of the triangle are 9 cm and 15 cm. Let the length of the third side is x. According to triangle inequalities, in a triangle sum of the two sides is must be greater than the third side. So, the length of the third side is less than 24 cm.

Answer:

option A

Step-by-step explanation:

Sum of any 2 sides of a triangle should be more than the third side. Here already measure of 2 sides have been given. So ,

3rd side < (15 + 9)

=> 3rd side < 24cm

Hence 3rd side should be less than 24 cm. Here 23 cm (option A) is less than 24cm. So it can be the measure of 3rd side

Answer:

6x + 7 = 25, where x equals 3

Step-by-step explanation:

"Seven more than" would mean + 7 and "six times" would be 6x (six times unknown value). Lastly the "equals 25" is = 25, so when you put it together it is 6x + 7 = 25.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

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Answer:

a) y= 60+ 5x

b) 9 bids

Step-by-step explanation:

a) the function is y= 60+ 5x

b) 105= 60 + 5x

45= 5x

x= 45/5

x=9

there were 9 bids

Answer:

a: y = 5x + 60

b: 9 times

Step-by-step explanation:

105 = 5x + 60

-60           -60

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

45 = 5x

÷5   ÷5

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

9 = x

Start with out given statement:

Line KM bisects <JKL and the reason for that is because it's given.

For statement 2, we know that m<JKM = m<MKL

because of the definition of an angle bisector.

For statement 3, we can use the angle addition

postulate to get m<JKM + m<MKL = m<JKL.

For statement 4, we use substitution from

the info in statement 2 to get m<MKL + m<MKL = m<JKL.

For statement 5, we simplify to get 2(m < KML) = m<JKL.

For statement 5, we use the division property of equality.

All the reasons are underlined.

Answer:

15,000

Step-by-step explanation:

You can't round it upwards, so it remains the same.

It would just be 15,000 right?  

Step-by-step explanation: Because if its in the thousands place the 4 is less than the 7

Answer:

I swear if I get this wrong

Step-by-step explanation:

8-2 ,8-2-4, 8-2 4, 8 10 8 8

or idek

The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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The two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).

Given that, Angle = 60°, v = 8, 6

Consider unit vector a = (x, y)

x² + y² = 1 …. (1)

Now apply the dot product of unit vector with v

a.v = |a||v|cos Ø

a.v = √ (x² + y²) √ (8² + 6²) cos 60º

8x + 6y = 1 × 10 × ½

So we get,

8x + 6y = 5 …. (2)

y = (5 - 8x) / 6

Substituting the value of y in equation (1)

x² + y² = 1

x² + [(5 - 8x)/6]² = 1

x² + 25/36 + 16x²/9 - 20x/9 = 1

25x²/9 - 20x/9 = 11/36

So we get,

4 × (25x² - 20x) = 11

100x² - 80x = 11

100x² - 80x - 11 = 0

Now solve the quadratic equation,

x = { 2/5 ± √5/10}

Substituting the value of x in equation (2)

y = 3/10 ± 2√5/15

Therefore, the two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).

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If the original price of the football is $22.00, and the store is offering a 20% discount, then the new price of the football before tax would be:

New price before tax = Original price - Discount

= $22.00 - (20% x $22.00)

= $17.60

Now, we need to calculate the price of the football after adding the sales tax of 5%. To do this, we can calculate the amount of sales tax first, and then add it to the new price before tax:

Sales tax = 5% x $17.60

= $0.88

Price after tax = New price before tax + Sales tax

= $17.60 + $0.88

= $18.48

Therefore, the cost of the discounted football after tax is $18.48.