2 2/7:(0.6x)=4/21:0.25

The interest earned on Julio's investment is $3,900.

To calculate the interest earned on Julio's investment, we can subtract the initial principal from the maturity value.

Interest = Maturity Value - Principal

In this case, the principal is $6,000 and the maturity value is $9,900.

Interest = $9,900 - $6,000

Interest = $3,900

Therefore, the interest earned on Julio's investment is $3,900.

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Answer:

Within 10 feet of a fire hydrant

Step-by-step explanation:

Answer:

10 feet.

Step-by-step explanation:

Answer:

After 2 years you'll have $40.

Step-by-step explanation:

multiply 500×0.04×2

Based on the table, it is clear that the larger the size of the

section, the more plants grew. This is supported by the fact

that section2, which had the largest size of 125 square feet,

had the highest number of plants with 38. Section 1 had the

smallest size with only 25 square feet and the lowest number

of plants with only 13. However, itis important to note that the

number of plants can also be affected by other factors such

as the quality of soil, amount of water and sunlight given

to each section, and the type of seeds planted. It would be

beneficial for the scientist to consider these factors in future

experiments to obtain more accurate and reliable results.

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Here's the Answers :

Rate of change : slope

we differentiate f(x, y) with respect to y while treating x as a constant:

fy = ∂f/∂y = -6(-1)e^(-2x-y) = 6e^(-2x-y).

fy = 6e^(-2x-y).

Step 1: Find fx for the function f(x, y) = -6e^(-2x-y).

To find fx, we differentiate f(x, y) with respect to x while treating y as a constant:

fx = ∂f/∂x = -6(-2)e^(-2x-y) = 12e^(-2x-y).

Therefore, fx = 12e^(-2x-y).

Step 2: Find fy for the function f(x, y) = -6e^(-2x-y).

To find fy, we differentiate f(x, y) with respect to y while treating x as a constant:

fy = ∂f/∂y = -6(-1)e^(-2x-y) = 6e^(-2x-y).

Therefore, fy = 6e^(-2x-y).

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The average time it takes to rent a video tape is 0.141 minutes.

Given data:Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).
Each server can handle 8.15 customers per minute(Poisson). If there are 3 servers, we need to determine the average time it takes to rent a video tape.
Let us assume λ = 12 and μ = 3 × 8.15 = 24.45
Average time it takes to rent a video tape = 1 / (μ - λ/n)
Where, n = number of servers⇒ Average time it takes to rent a video tape = 1 / (24.45 - 12/3)⇒ Average time it takes to rent a video tape = 1 / 8.45⇒ Average time it takes to rent a video tape = 0.1185 minutes = 0.141 rounded to three decimal places.

Thus, the average time it takes to rent a video tape is 0.141 minutes.

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Answer:

a)~5572.45 (cm^3)

b)~1519.76 (cm^2)

Step-by-step explanation:

A volleyball has a diameter d = 22 cm

=> Its radius r is r = d/2 = 22/2 = 11 cm

a) Its volume is calculated by:

V = (4/3) x pi x r^3

with p = ~3.14 and r = 11 cm

=> V = (4/3) x 3.14 x 11^3 = ~5572.45 (cm^3)

b) Its surface area is calculated by:

A = 4 x pi x r^2

with p = ~3.14 and r = 11 cm

=> A = 4 x 3.14 x 11^2 = ~1519.76 (cm^2)

The 90% confidence interval for the population mean number of days it takes to find a job using the website's service is approximately 77.09 to 82.91 days.

To calculate a 90% confidence interval for the population mean number of days it takes to find a job using the website's service, follow these steps:

1. Identify the sample mean (X), sample size (n), and population standard deviation (σ). In this case, X = 80 days, n = 32, and σ = 10 days.

2. Determine the desired confidence level. Here, it's 90%.

3. Find the critical value (z) associated with the 90% confidence level. You can look this up in a standard normal distribution table or use a calculator that provides this functionality. For a 90% confidence interval, the critical value is approximately 1.645.

4. Calculate the standard error (SE) by dividing the population standard deviation (σ) by the square root of the sample size (n). In this case, SE = σ/√n = 10/√32 ≈ 1.77.

5. Multiply the critical value (z) by the standard error (SE) to obtain the margin of error (MOE): MOE = z * SE = 1.645 * 1.77 ≈ 2.91.

6. Calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error (MOE) from the sample mean (X). In this case, the lower bound = 80 - 2.91 ≈ 77.09, and the upper bound = 80 + 2.91 ≈ 82.91.

Thus, the 90% confidence interval for the population mean number of days it takes to find a job using the website's service is approximately 77.09 to 82.91 days.

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer

x=5 y=2

Step-by-step explanation:

The number in question is equal to 2 times the temperature in degrees Celsius.

Since Alisha is working on a project about temperature conversion in her science class, and the formula for converting degrees Celsius to degrees Fahrenheit is F=C+32, to solve FC + 32 the following equation must be performed:

Therefore, the number in question is equal to 2 times the temperature in degrees Celsius.

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Step-by-step explanation:

19 ten thousand is 190,000 thousands. To calculate this, we need to understand that 1 ten thousand is equal to 10,000. Therefore, 19 ten thousand is equal to 19 x 10,000 = 190,000. This means that there are 190,000 thousands.

Answer:

190 thousands

Step-by-step explanation:

19 + 0,000 (the # of zeros in ten thousand)

190,000

190 thousands

Choosing two out of four is a combination problem because the order is irrelevant. A sample of A, B is equivalent to a sample of B, A if the population of 4 is A, B, C, and D.

The sample size is the number of observations used to calculate estimates for a given population. The sample size was chosen from the population. The term "sample size" refers to the number of subjects or observations in a study. This number is commonly represented by the letter n. Two statistical characteristics are influenced by sample size: 1) The accuracy of our estimates; 2) The research's ability to generate inferences. The samples are the results of random tests. When sampling a random variable, a specific value is chosen from a set of possible values. This particular value is referred to as a sample. The probability distribution of the random variable determines the possible values and their probabilities.

Choosing two out of four is a combination problem because the order is unimportant (no indication concerning order is given in the problem). If the population of four is A, B, C, and D, a sample of A, B is equivalent to a sample of B, A.

There are a total of 4C2 = 6 potential samples.

You could also list all potential samples as "A, B," "A, C," "A, D," "B, C," "B, D," and "C, D" for such a small population.

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Answer:

x=6

Step-by-step explanation:

To solve, we'll reverse the terms in order to find x.

Reverse Terms:

-7 + 13 = x

Solve:

x=6.

Answer:

x=-7+13

x=6

Explanation

-13 after the equal sign becomes positive.you take -13 and put it after the equal sign,then add

Using the motion equation we can get:

a) s = -16*t^2 + 1028

b) 992 feet above the ground.

c) after 8 seconds, the coin will hit the ground.

First, we know that the general height equation is:

s = -16*t^2 + v0*t + s0

In this case, the coin is dropped, so the initial velocity v0 is zero.

And the coin is dropped from a height of 1028 ft, then s0 = 1028

Replacing that in the equation we get:

s = -16*t^2 + 1028

b) The height after 1.5 seconds is what we get by evaluating the height equation in t = 1.5

s = -16*(1.5)^2 + 1028 = 992

This means that the height after 1.5 seconds is 992 ft above the ground.

c) The coin will strike the ground when s = 0, then we need to solve:

s = 0 = -16*(t)^2 + 1028

Solving that for t, w eget:

16*t^2 = 1028

t^2 = 1028/16

t = √(1028/16) = 8

This means that the coin will hit the ground after 8 seconds.

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Answer:

D

Step-by-step explanation:

only D.

we are starting at 4 and add 3 to get to 7. then we add another 3 to get to 10.

and then we subtract from there 5 to get back down to 5.

none of the other answers get even the same final result (5).

Answer: 2.8 minutes

Step-by-step explanation:

If it takes 12.5 gallons per minutes to fill the reservoir, then we have to divide 35 and 12.5.

35 ÷ 12.5 = 2.8 minutes

Since it takes 12.5 gallons per minutes to fill the reservoir, it will take 2.8 minutes to fill the reservoir.

hope this helps!

Answer:

A submarine descends at a rate of 2.6 kilometers per hour.

If the ocean floor is 6.24 kilometers below sea level, how long will it take the submarine to descend to the ocean floor?

Round your answer to the nearest tenth. Enter your answer in the box.

answer:

2.4

hours

Step-by-step explanation:

The answer for the fraction 1/4 of 100 is 25.

Given,

The fraction; 1/4

We have to find the 1/4 of 100.

Fraction;

A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.

There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions

Here,

1/4 of 100 = 1/4 x 100 = 25.

That is,

The answer for the fraction 1/4 of 100 is 25.

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The missing side for this problem is given as follows:

z = 26.9.

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

For the angle of 42º, we have that:

Hence we apply the sine ratio to obtain the hypotenuse z as follows:

sin(42º) = 18/z

z = 18/sine of 42 degrees

z = 26.9.

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Answer:

5,6,7

Step-by-step explanation:

consetive integers are 1 apart

they are

x,x+1,x+2

3 times the first added to the last is 22

3x+x+2=22

combine like terms

4x+2=22

minus 2 both sides

4x=20

divide both sides by 4

x=5

x+1=6

x+2=7

the numbers are 5,6,7

Answer:

5,6,7

Step-by-step explanation:

hope this helps :)

Answer:

D. 64

Step-by-step explanation:

64 ÷ 8= 8

x=64.

also 8 x 8 equals 64.

Therefore, the derivative of ln(√(5x + 2)) is 5 / (10x + 4).

To find the derivative of ln(√(5x + 2)), we can use the chain rule.

Let's denote the function f(x) = √(5x + 2), and the function g(x) = ln(f(x)).

The derivative of g(x) can be calculated as follows:

g'(x) = (1 / f(x)) * f'(x)

First, let's find f'(x), the derivative of f(x):

f'(x) = d/dx(√(5x + 2))

= (1/2)(5x + 2)^(-1/2) * d/dx(5x + 2)

= (1/2)(5x + 2)^(-1/2) * 5

= 5 / (2√(5x + 2))

Now, substituting f'(x) back into the derivative of g(x):

g'(x) = (1 / f(x)) * f'(x)

= (1 / √(5x + 2)) * (5 / (2√(5x + 2)))

= 5 / (2(5x + 2))

Simplifying the expression, we have:

g'(x) = 5 / (10x + 4)

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To determine whether the equation Ax = b is consistent, we need to check if there exists a solution for the given system of equations. The matrix A is defined as A = [a1 a2], where a1 and a2 are vectors in R2. The vector b is also in R2.

For the system to be consistent, b must be in the column space of A. In other words, b should be a linear combination of the column vectors of A.

If b is not in the column space of A, then the system will be inconsistent and there will be no solution. If b is in the column space of A, the system will be consistent.

To determine if b is in the column space of A, we can perform the row reduction on the augmented matrix [A|b]. If the row reduction results in a row of zeros on the left-hand side and a nonzero entry on the right-hand side, then the system is inconsistent.

If the row reduction does not result in any row of zeros on the left-hand side, then the system is consistent. In this case, we need to check if the system has a unique solution or infinitely many solutions.

To determine if the solution is unique or not, we need to check if the reduced row echelon form of [A|b] has a pivot in every column. If there is a pivot in every column, then the solution is unique. If there is a column without a pivot, then the solution is not unique, and there are infinitely many solutions.

Since the problem refers to a specific figure and the vectors a1, a2, and b are not provided, it is not possible to determine the consistency of the system or the uniqueness of the solution without further information or specific values for a1, a2, and b.

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There are always many ways to move a shape from one location to another location on a page due to the inherent flexibility and freedom of positioning offered by two-dimensional space, combined with the numerous variables involved in the placement of objects.

The two-dimensional nature of a page allows for an infinite number of positions within its boundaries. This inherent flexibility provides multiple options for moving a shape from one location to another. Furthermore, numerous variables contribute to the placement of objects on a page, such as size, orientation, and relationships with other elements.

Firstly, the freedom offered by two-dimensional space means that a shape can be placed anywhere within the boundaries of the page. This allows for a wide range of possibilities when deciding on the shape's position. A shape can be moved horizontally, vertically, or even diagonally, enabling endless potential arrangements.

Secondly, the variables involved in object placement add to the diversity of options. The size of the shape plays a significant role in how it can be positioned. A smaller shape may have more potential locations within a given space, while a larger shape may have fewer possibilities. Additionally, the orientation of the shape, such as rotation or flipping, further expands the number of ways it can be moved.

Furthermore, the relationship between the shape and other elements on the page influences its potential positions. Objects can be arranged in various configurations, such as overlapping, aligning, or grouping, leading to different visual effects and spatial relationships.

In conclusion, the combination of the inherent flexibility of two-dimensional space and the variables involved in object placement on a page results in numerous ways to move a shape from one location to another. This allows for creative expression, adaptability to design requirements, and the possibility of achieving specific visual outcomes.

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Answer:

5m + 37 = 79.50

Step-by-step explanation:

Answer:

its option A

Step-by-step explanation:

Answer:P(c) =80x+100

First of all why is thomas buying 55 jerseys and the total is $4500

Step-by-step explanation:

Answer:

\(y=\frac{9\sqrt{3} }{2}\) or 7.79     x= 9/2 or 4.5

explanation:

This is a special right triangle; a 90-60-30 triangle.

The side labelled y = a, side labelled x is equal to \(a\sqrt{3}\), and the hypotenuse equals 2a.

First solve for a. \(9\sqrt{3}=2a\)  \(a=\frac{9\sqrt{3} }{2} =y\) and that gives you y.

Then use a to find x. \(a\sqrt{3} =x\) so \(\frac{9\sqrt{3} }{2} *\sqrt{3} = 9/2=4.5\)

The comparison between A and B is as follows:A < B.

We are given that:120 % of A is equal to 150 => (120/100)A = 150

Divide both sides by 120/100: A = 150 × 100/120 = 125

And, 105 % of B is equal to 165 => (105/100)B = 165

Divide both sides by 105/100: B = 165 × 100/105 = 157.14

Therefore, A = 125 and B = 157.14

Compare A and B:It can be seen that B is greater than A. Therefore, B > A. Hence, the comparison between A and B is as follows:A < B.

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