The area of a rectangle, A = l • w is represented by the expression 24x6y15. Which could be the dimensions of the rectangle?

Answer:

2913 divided by 6 is 485 with a remainder of 3

2/5 * 10 = 20/50

0.22 as a fraction 11/50

20/50 is the same as 40/100

11/50 is the same as 22/100

multiply

880/10000

which is 22/250

Answer: its - 7/40

Step-by-step explanation: i took the test

The value of the expression after simplifying the given expression [2−∣∣−14−2(−35)∣∣] ÷ (−6) is 0.141

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. For example -

5x + 7 = 6

7r + π = 4

Given is the following expression -

[2 - | - 1/4 - 2 - 3/5|] ÷ (-6)

Assume that -

[A] = 2 - | - 1/4 - 2 - 3/5|

[B] = - 6

First, we will simplify [A] as follows -

2 - | - 1/4 - 2 - 3/5|

2 - | - 2.25 - 3/5|

2 - | - 2.25 - 0.6|

2 - | - 2.85|

2 - 2.85

- 0.85

We got -

[A] = - 0.85

Now, we can easily find the value of -

[A] ÷ [B] = (- 0.85)/(- 6)

[A] ÷ [B] = 0.85/6

[A] ÷ [B] = 0.141

Therefore, the value of the expression after simplifying the given expression [2−∣∣−14−2(−35)∣∣] ÷ (−6) is 0.141

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Answer:

12.8cm

640 naira

12,800 naira

Step-by-step explanation:

length of the wire is equal to the perimeter of a square

perimeter of a square = 4 x length

4 x 3.2 = 12.8 inches

cost of the square = length of the wire x 50

12,8 x 50 = 640

20 x 640 = 12800

Answer:

x=−2 or x=3

Step-by-step explanation:

x2−x−6=0

Step 1: Factor the left side of the equation.

(x+2)(x−3)=0

Step 2: Set factors equal to 0.

x+2=0 or x−3=0

x=−2 or x=3

Answer:

x = -2 and 3

Step-by-step explanation:

1. get the factors

(x+2) and (x-3)

2. set them equal to zero to get x

x+2 = 0 (minus 2)

x - 3 = 0 (add 3)

Answer:

Yes, because it passes the vertical line test. If we were to draw a vertical line anywhere on the graph, it would only go through one point, so the relation is a function.

Step-by-step explanation:

1. This graph is a function because it passes the vertical line test. The vertical line test is a simple method that is used to determine if a relation is a function or not. A function can one output (y) for every unique input (x). If we were to draw a vertical line anywhere on the graph, and it would only go through one point, then the relation is a function. If it went through multiple points in some areas, it's not a function.

2. Since we can draw a vertical line anywhere and have it pass through one point, this relation is a function.

Answer:20.9248 degrees

Step-by-step explanation:

sin(θ)=opposite/hypotenuse

      θ=sin⁻¹(opposite/hypotenuse)

      θ=sin⁻¹(5/14)

      θ=20.9248 degrees      or θ=0.3652 radians

Answer:

\(5110, 5111, 5112\)

Step-by-step explanation:

Let \(x=\) first consecutive number

\(x + (x+1)+(x+2) = 15333\) (\(x\) is the first number, \(x+1\) would be the second consecutive number of the sequence, and \(x+2\) would be the third)

\(3x + 3 = 15333\)

\(3x = 15330\)

\(x = 5110\)

\(x+1 = 5110+1\)

\(= 5111\)

\(x+2 = 5110 + 2\)

\(= 5112\)

\(\therefore\) the consecutive numbers that sum up to \(15333\) are \(5110, 5111,\) and \(5112\)

Hope this helps :)

Answer:

1)  -311

2)  26 p^6 h^4

3) 18 x^2 y^5 z^7

4)  -20 c^4  

is correct answer.

i guess you dont know this '' ^ '' . this mean take that number in power,

All the best

Step-by-step explanation:

Answer:

10000

Step-by-step explanation:

The answer would be 10000. You always use the digit to the right of the place you want to round to help you determine whether to round up or down. But notice you said "round the thousand", but you are actually rounding the ten thousand, by looking at the thousand.

Answer:

The number that rounds to 10,000 when rounded to the nearest ten thousand and to 6,000 when rounded to the nearest thousand is 7,500.

When 7,500 is rounded to the nearest ten thousand, the result is 10,000 because the ten thousand digit is 1 and the rounding digit (the thousands digit) is 5, which is greater than or equal to 5.

When 7,500 is rounded to the nearest thousand, the result is 6,000 because the rounding digit (the hundreds digit) is 5, which rounds up the tens digit to 0 and changes the thousands digit to 6.

The point slope form finds the equation of a straight line that passes through a given point and is inclined to the x-axis. Each point on a line must satisfy the line's equation. Two-variable linear equations symbolize lines. The point slope formula is utilized when we know the line's slope and a point. The next section explains the point slope form and how to calculate its formula.

The equation of a straight line that is inclined at a particular angle to the x-axis and passes at a given point may be found by using the point slope form. This form is used to get the equation of the line. An equation may be said to be the equation of a line if it can be shown to be fulfilled by every point along the line. This indicates that a line is represented by a linear equation that has two variables. Whereas the Point slope formula is only used in situations in which both the slope of the line and a point on the line are known. In the next part, let's get more in-depth knowledge about the point slope form as well as how to derive the formula that is used to express the point slope form.

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Answer:

3349.5 \(cm^{3}\)

Step-by-step explanation:

see image

Answer:

51/25 and 27/4

Step-by-step explanation:

distributing and dividing both sides by coefficient of x

Answer:

x = 1 1/25

x = 4 1/6

Step-by-step explanation:

(5 1/5) × 5 = 25x

(26/5) × (5/1) = 25x

26 = 25x

26/25 = x

1 1/25 = x

(8 1/3) × 2 = 4x

(25/3) × (2/1) = 4x

(50/3) = 4x

(50/3) ÷ (4/1) = x

(50/3) × (1/4) = x

50/12 = x

4 2/12 = x

4 1/6 = x

Answer:

Lhs=sin2x-cos2x

=1-cos2x-cos2x

=1-2cos2x

rhs=Lhs

Answer:

sin²x - cos²x = 1 - 2cos²x

Here, we know the identity

sin²θ = 1 - cos²θ

Now,

sin²x - cos²x = 1 - 2cos²x

1 - cos²x - cos²x = 1 - 2cos²x

1 - 2cos²x = 1 - 2cos²x

L.H.S = R.H.S

Hence Proved!

-TheUnknownScientist 72

Answer:

15%

Step-by-step explanation:

A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

To solve this, we can use this equation:

Well, if percentages are fractions of 100, we can convert 15% into \(\frac{15}{100}\), or 0.15.

Therefore, \(\frac{3}{5}\) is 15% of 4

Answer:

Step-by-step explanation:

2^45

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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Answer:45.7

Step-by-step explanation:if it’s a whole supposed to be a whole number I recommend rounding up

but all I did was taking the number 412 and dividing that by 9

In 10 years, you will have approximately $44,097.74.

To calculate the amount you will have in 10 years, we can use the formula for compound interest:

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

Where:

A is the final amount

P is the principal amount (initial investment)

r is the annual interest rate (as a decimal)

n is the number of times interest is compounded per year

t is the number of years

In this case, the principal amount is $33,000, the annual interest rate is 5.0% (or 0.05 as a decimal), the investment period is 8 years, and the compounding is done annually (n = 1).

Using these values, we can calculate the final amount after 8 years of investment:

A = $33,000 * (1 + 0.05/1)^(1*8)

A = $33,000 * (1.05)^8

A ≈ $49,652.48

Therefore, after 8 years of investment, you would have approximately $49,652.48.

However, the question asks for the amount you will have in 10 years. Since you will invest the amount for an additional 2 years, we need to calculate the compound interest for those 2 years using the same formula:

A = $49,652.48 * (1 + 0.05/1)^(1*2)

A ≈ $44,097.74

Therefore, in 10 years, you would have approximately $44,097.74.

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Answer:

Jane is 11 1/4 years old.

Step-by-step explanation:

Subtract all of the numbers given.

\(13\frac{5}{6} -1\frac{1}{3} -1\frac{1}{4}\).

To subtract this, we need to find a common denominator.

A common denominator in this situation is 12. To do this multiply the 5 and the 6 of 5/6 by 2. Multiply the 1 and the 3 of 1/3 by 4. And multiply the 1 and the 4 1/4 by 3.

The new expression will look like this:

\(13\frac{10}{12} -1\frac{4}{12} -1\frac{3}{12}\).

Now we can subtract.

\(13\frac{10}{12} -1\frac{4}{12} -1\frac{3}{12}=11\frac{3}{12}\)

Reduce the answer.

\(11\frac{3}{12}=11\frac{1}{4}\)

In decimal form 11.25

Hope this helps!

If not, I am sorry.

The slope of the line representing the linear graph is a rate of 3.2 meters per second.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and m is the y intercept.

Let y represent the distance in meters and x represent the time in seconds. Hence:

\(Slope = \frac{y_2-y_1}{x_2-x_1} =\frac{192-64}{60-20} =3.2\)

The slope of the line representing the linear graph is a rate of 3.2 meters per second.

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Answer:

The answer for box 1 is: 3.2

The answer for box 2 is: Edgar

The answer for box 3 is: Liam

- Hope i helped!

Answer:

1. Non equivalent, use the distributive property. 5*3=18, 5*4=20, so the equation is now 18y - 20, which is not equal to 15y - 20

2. Same with this one, -4 * -2p = 8p, and  -4 * 4 = -16. Now the equation is 8p - (-16), or 8p + 16. Not equivalent.

3. 3*-7x = -21x, and 3*13 = 39. Now the equation is -21x - 39, not equivalent.

4. -6*-4a = 24a, and -6*8 = -48, the equation is now 24a+ (-48), or 24a - 48

I did my best, and I am confident in the answers, but I apologize if I am wrong.

Answer:

The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

Answer:

Rise/run = - 4/3

The rise is vertical, run is from left to right.  I counted 4 units down from (-3, 2) to (-3, -2) and since it is down, it's negative.  Then, I counted 3 units to the right from (-3, -2) to (0, -2) and the run will always be positive.  Because there is a negative in one of the numbers, the slope will be negative: - 4/3

The Degree of a Polynomial is the largest of the degrees of the individual terms. Add the degrees of the variables of each term to decide what is the Degree of the Polynomial. Degree of term 1 is 2 (1+1= 2), Degree of term 2 is 6 (2+4 = 6), Degree of term 3 is 7 (5+2 = 7) 7 is the Degree of the Polynomial.

The degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables). Here, the term with the largest exponent is, so the degree of the whole polynomial is 6. Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable. A 1st-degree polynomial is just a straight line also known as a linear equation. It is called linear because it is a straight line. The rate of change is the slope of the line and is constant. A 2nd-degree polynomial is a parabola. A polynomial of degree 4 is called a bi-quadratic polynomial. A cubic polynomial is a name given to a polynomial of degree three.

Based on the provided equation, no definitive conclusion can be drawn about the stability of the system without additional information or analysis.

To determine the stability of a system, further analysis is required. The given equation is a linear ordinary differential equation relating the derivatives of the output variable y and the input variable u. The coefficients in the equation, 6 and -7 for dy/dt and y, respectively, as well as 4 and -3 for du/dt and u, do not provide sufficient information to determine stability.

Stability analysis typically involves assessing the behavior of the system's response over time. Stability can be classified into several categories, including stable, unstable, critically damped, or marginally stable. However, in this case, the given equation does not provide the necessary information to make any definitive conclusion about the stability of the system.

To assess stability, one would typically examine the characteristic equation, eigenvalues, or transfer function associated with the system. Without such additional information or analysis, it is not possible to determine the stability of the system solely based on the given equation.

The provided equation does not provide enough information to draw a conclusion about the stability of the system. Further analysis using techniques like eigenvalue analysis or transfer function analysis would be necessary to determine the stability characteristics of the system.

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Answer:

Step-by-step explanation:

9:43 - 10:12

9:43 - 10:00 = 17 minutes

10:00 - 10:12 = 12 minutes

17 + 12 = 19 minutes

Hope that helps!

Answer:

29 minutes

Step-by-step explanation:

10:12 - 9:43 = 29 minutes

Therefore, based on the inspection of the sample, it can be estimated that 8% of the articles in the original shipment may be defective.

The answer  is that the probable percentage of defective articles in the original shipment can be estimated using the formula:

Probable percentage of defective articles = (Number of defective articles in sample / Sample size) x 100

In this case, the number of defective articles in the sample is 4, and the sample size is 50. Plugging these values into the formula, we get:

Probable percentage of defective articles = (4/50) x 100 = 8%

Therefore, based on the inspection of the sample, it can be estimated that 8% of the articles in the original shipment may be defective.


Sampling is a technique used to estimate the characteristics of a large population by examining a smaller subset of it. In this case, a sample of 50 articles was inspected to estimate the probable percentage of defective articles in the original shipment of 500 articles. The number of defective articles in the sample was found to be 4, which represents 8% of the sample size. This percentage can then be used to estimate the probable percentage of defective articles in the entire shipment. However, it is important to note that the estimate may not be completely accurate, as the sample may not be fully representative of the entire population.

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