Which of the following numbers are less than -0.625
choose all that apply
A: - 8/5
B: -5/8
C:-0.5

Based on the data provided, it appears that on average, the cardboard cap group took longer to complete the task compared to the transparent cap group.

To answer this question, we would need to compare the average completion times of the two groups. If the average completion time of the cardboard cap group is higher than that of the transparent cap group, then the data would suggest that the cardboard cap group took longer to complete the task on average. Working capital is the difference between a company's current assets and short-term liabilities. The challenge is to identify the appropriate items for the various assets and liabilities on the company's balance sheet to determine the company's overall health and ability to meet short-term commitments. Therefore, we would need to calculate the average completion time for each group and compare the results to answer this question.

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The simplified radical expression by rationalizing the denominator is, \(\frac{-6}{\sqrt{5y}}\times\frac{\sqrt{5y}}{\sqrt{5y}}\) = \(\frac{-6\sqrt{5y}}{5y}$$\) = $\frac{-6\sqrt{5y}}{5y}$.

To simplify the radical expression by rationalizing the denominator, multiply both numerator and denominator by the conjugate of the denominator.

The given radical expression is \($\frac{-6}{\sqrt{5y}}$\).

Rationalizing the denominator

To rationalize the denominator, we multiply both the numerator and denominator by the conjugate of the denominator, \($\sqrt{5y}$\)

Note that multiplying the conjugate of the denominator is like squaring a binomial:

This simplifies to:

(-6√(5y))/(√(5y) * √(5y))

The denominator simplifies to:

√(5y) * √(5y) = √(5y)^2 = 5y

So, the expression becomes:

(-6√(5y))/(5y)

Therefore, the simplified expression, after rationalizing the denominator, is (-6√(5y))/(5y).

\($(a-b)(a+b)=a^2-b^2$\)

This is what we will do to rationalize the denominator in this problem.

We will multiply the numerator and denominator by the conjugate of the denominator, which is \($\sqrt{5y}$\).

Multiplying both the numerator and denominator by \($\sqrt{5y}$\), we get \(\frac{-6}{\sqrt{5y}}\times\frac{\sqrt{5y}}{\sqrt{5y}}\) = \(\frac{-6\sqrt{5y}}{5y}$$\)

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Answer: When you solve the equations and work them out, you get the answer of $4000.

Answer:

y = 130

Step-by-step explanation:

given that y varies directly with x and z then the equation relating them is

y = kxz ← k is the constant of variation

to find k use the condition y = 150 when x = 2.5 and z = 12 , then

150 = k × 2.5 × 12 = 30k ( divide both sides by 30 )

5 = k

y = 5xz ← equation of variation

when x = 4 and z = 6.5 , then

y = 5 × 4 × 6.5 = 20 × 6.5 = 130

Answer:

Step-by-step explanation:

Don't use brainly it's a waste of time

the values of x and y that satisfy the system of equations are x = -14/11 and y = 13/11.

To solve the system of linear equations using one of the three methods (elimination, substitution, or matrix inversion), let's first check the rank of matrix A and [A b].

The matrix A is a 3x2 matrix:

A = [2 3]

[-1 4]

[5 -6]

To find the rank of A, we can perform row operations to reduce the matrix to row-echelon form. The rank of A is equal to the number of non-zero rows in its row-echelon form.

Performing row operations on A, we have:

Row 2 = Row 2 + 0.5 * Row 1

Row 3 = Row 3 - 2.5 * Row 1

The row-echelon form of A is:

A = [2 3]

[0 5]

[0 -21]

Since A has two non-zero rows, the rank of A is 2.

Next, we check the rank of [A b]. The vector b is a 3x1 vector:

b = [1]

[6]

[-3]

We can append vector b as an additional column to matrix A:

[A b] = [2 3 1]

[-1 4 6]

[5 -6 -3]

Performing row operations on [A b], we have:

Row 2 = Row 2 + Row 1

Row 3 = Row 3 - 2 * Row 1

The row-echelon form of [A b] is:

[A b] = [2 3 1]

[0 7 7]

[0 -12 -5]

Since [A b] has two non-zero rows, the rank of [A b] is also 2.

Since the rank of A and [A b] are both 2, we can proceed with solving the system of linear equations using any of the three methods.

Let's use the method of matrix inversion to solve the system.

The system of equations can be written as a matrix equation:

Ax = b

To find x, we can multiply both sides of the equation by the inverse of A:

\(A^(-1) * A * x = A^(-1) * b\)

\(I * x = A^(-1) * b\)

\(x = A^(-1) * b\)

To find the inverse of A, we can use the formula:

\(A^(-1) = (1 / (ad - bc)) * [d -b][-c a]\)

Plugging in the values of matrix A, we have:

\(A^(-1) = (1 / (2 * 4 - 3 * -1)) * [4 -3][1 2]\)

Calculating the inverse of A, we have:

A^(-1) = (1 / 11) * [4 -3]

[1 2]

Multiplying A^(-1) by vector b, we have:

\(x = (1 / 11) * [4 -3] * [1][6][-3]\)

Calculating the product, we get:

x = (1 / 11) * [4 * 1 + -3 * 6]

[1 * 1 + 2 * 6]

Simplifying, we have:

x = (1 / 11) * [-14]

[13]

Therefore, the solution to the system of linear equations is:

x = -14/11

y = 13/11

Hence, the values of x and y that satisfy the system of equations are x = -14/11 and y = 13/11.

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Step-by-step explanation:

See below

Answer:

\( \frac{5}{n + 3} \)

Step-by-step explanation:

\(1. \: 5 \times \frac{1}{n + 3} \\ 2. \: \frac{5}{n + 3} \)

hope its helps l got it from https://www.cymath.com/ its good for math solving.

​

Answer:

f(x) = - \(\frac{5}{4}\) x + 2

Step-by-step explanation:

Note that y = f(x)

Rearrange making y the subject

- 5x - 4y = - 8 ( add 5x to both sides )

- 4y = 5x - 8 ( divide terms by - 4 )

y = - \(\frac{5}{4}\) x + 2 , that is

f(x) = - \(\frac{5}{4}\) x + 2

Answer:

(8/3, ∝)

Step-by-step explanation:

Definition

The Mean Value Theorem states that for a continuous and differentiable function \(f(x)\) on the closed interval [a,b], there exists a number c from the open interval (a,b) such that \(\bold{f'(c)=\frac{f(b)-f(a)}{b-a}}\)

Note:

A closed interval interval includes the end points. Thus if a number x is in the closed interval [a, b] then it is equivalent to stating a ≤ x ≤ b.

An open interval does not include the end points so if x is in the open interval (a, b) then a < x < b

This distinction is important

The function is \(y = f(x)=\ln\left(3x-8\right)\)

Let's calculate the first derivative of this function using substitution and the chain rule

Let

\(u(x) = 3x-8\\\\\frac{du}{dx} = \frac{d}{dx}(3x-8) = \frac{d}{dx}(3x) - \frac{d}{dx}8 = 3 - 0 =3\\\\\)

Substituting in the original function f(x), we get

\(y = ln(u)\\\\dy/du = \frac{1}{u}\)

Using the chain rule

\(\frac{dy}{dx}=\frac{dy}{du}.\frac{du}{dx}\)

We get

\(\frac{dy}{dx}=\frac{1}{u}3=\frac{1}{3x-8}3=\frac{3}{3x-8}\)

This has a real value for all values of x except for x = 8/3 because at x = 8/3, 3x - 8 = 0 and division by zero is undefined

Now \(ln(x)\) is defined only for values of x > 0. That means 3x-8 > 0 ==> 3x > 8 or x > 8/3

There is no upper limit on the value of x for ln(x) since ln(x) as x approaches ∝ ln(x) approaches  ∝ and  as x approaches ∝ 3/(3x-8) approaches 0

So the interval over which the mean theorem applies is the open interval (8/3, ∝)

At x = 8/3 the first derivative does not exist

Graphing these functions can give you a better visual representation

Answer:

14 apple pies

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

so sorry im in school

x+y=4

 -y.  -y

x=4-y

4-y-y=2

4-2y=2

-4      -4

-2y= -2

/-2.   /-2

y=1

x+1=4

  -1 -1

x=3

so A and D is correct

There are 24000 spectators left the contest discontented.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Only 20 percent of the spectators left the contest discontented.

If 6000 spectators left the contest contented, then the contest  left discontented are;

The spectators left the contest contented = 6000

20/ 100 x D = 6000

D = 6000 x 100/20

D = 30000

Now the contest  left discontented are;

80 percent = 80/100 x 30000

= 24000

Hence, 24000 spectators left the contest discontented.

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The common ratio of the geometric sequence will be negative 2.

Given that:

Geometric sequence: 17, -34, -68, .....

A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.

Let a₁ be the first term and r be the common ratio. Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The common ratio of the geometric sequence is calculated as,

r = (-34) / (17)

r = - 2

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The value of x that makes the perimeters of the figures equal is; x = 3.

To find the perimeter of a figure, add all its side together. That is, the sum of all its sides will give you the perimeter.

Perimeter of the triangle = (x + 6) + 5x + (3x + 3)

Open the bracket and simplify

x + 6 + 5x + 3x + 3

Combine like terms

= 9x + 9

Perimeter of the square = 4(x + 6)

= 4(x) + 4(6)

= 4x + 24

Make both equation equal to each other and find x:

9x + 9 = 4x + 24

9x - 4x = -9 + 24

5x = 15

x = 3

The value of x is 3.

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The area of given figure will be sum of of triangles and rectangles included in it and area will be = 27.7 m^2.

What is a triangle?

In Geometry, triangles are the type of polygons, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

Based on the sides of a triangle, a triangle is classified into 3 types, namely:

Scalene Triangle – All the sides are of different measures.

Isosceles Triangle – Two sides of a triangle are of the same measure and the remaining side has a different measure.

Equilateral Triangle – All the 3 sides of a triangle are of the same measure.

Based on the angles of a triangle, a triangle is classified into 3 types, namely:

Acute Angle Triangle – All the angles of a triangle is less than 90°.

Obtuse Angle Triangle – One of the angles of a triangle is greater than 90°.

Right Angle Triangle – One of the angles of a triangle is equal to 90°.

Now,

As area of rectangle=length*breadth

and area of triangle = 1/2*base*height

Therefore area of figure=1/2*1*5+2*5+1/2*2*2+1/2*2*3+1*3+1/2*1*2+3*2

=5/2+10+2+3+3+1+6

=55/2

area of figure=27.5 m^2

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1. True: If Spain has an absolute productivity advantage in producing shoes, then it will have a lower opportunity cost for producing shoes than the rest of the world, allowing them to sell them at a lower price, which would encourage exporting.

2. True: The Ricardian Model explains how nations can gain by specializing in the production of goods that they are relatively more efficient in producing and then trading. It can be used to explain how workers in the same sector can be differently affected due to international trade. 3. Uncertain: The extent to which a specific or mobile factor of production benefits from trade (or trade liberalization) depends on several factors, and cannot be generalized.

4. False: Suppose that Home has a relative abundance of L compared with Foreign, then it means that K is scarce relative to L in Home. Thus, K owners in Home will benefit from free trade policies as it will lead to an increase in the demand for K.

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The value of is 1.645. This is derived from the area under the normal curve between 0 and 1.645 being equal to 0.25, which is one-fourth of the total area under the entire curve.

To calculate this, we must first understand the concept of the Standard Normal Distribution. The Standard Normal Distribution is a normal distribution with a mean of 0 and a standard deviation of 1. This is the basis of the calculation.

Next, we need to understand the concept of the cumulative probability density function. This is a function that gives the probability that a variable will take a value that is less than or equal to a given value.

For our calculation, we will use the cumulative probability density function for the Standard Normal Distribution.

Now, to calculate the value of , we can use the cumulative probability density function. We will set the cumulative probability density function equal to 0.25.

This is the probability that a variable will take a value that is less than or equal to . Solving for, we get 1.645. This is the value of.

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Answer:

94.25% of the class is present

The first year in which the taxpayer could receive a qualified distribution from the Roth IRA would be 2022.

To determine this, we need to look at the five-year rule for Roth IRA distributions. This rule states that a taxpayer must wait five years from the year of their first contribution to a Roth IRA before they can take a qualified distribution (i.e., a tax-free distribution of earnings and contributions).

Since the taxpayer made their first contribution for the 2018 tax year, the five-year clock starts on January 1, 2018. Therefore, the earliest year in which they could receive a qualified distribution is 2022.

It is important to note that there are other rules and exceptions that could affect when a taxpayer can take distributions from a Roth IRA,

such as age and disability, and that tax implications should also be considered when making decisions about Roth IRA contributions and distributions.

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Answer:

Step-by-step explanation:

8

The average rate of change of the function on [0,4] is 8.

Treats remain = 1 pound

amount bringed to school = 0.6 = 6/10 =3/5

Multiply the treats remain (1 pound )

6/10 X 1 = 3/5 x1 = 3/5

The data point 1.8 falls outside the range of 1.798, so it can be considered an outlier.

An outlier is a data point that is significantly different from other data points in a data set. Outliers can occur due to errors in data collection or measurement, or they can be legitimate data points that are simply far outside the range of the other data. In statistical analysis, it is important to identify outliers and decide whether to remove them from the data set or keep them and analyse them separately.

There are several methods for identifying outliers, including graphical methods and statistical methods such as the use of z-scores or the interquartile range.

To identify outliers in this data, we can start by calculating some basic statistical measures such as the mean and standard deviation.

The mean of the given data is:

(1.11 + 1.13 + 1.40 + 1.32 + 1.14 + 1.28 + 1.13 + 1.8 + 1.10 + 1.20) / 10 = 1.304

The standard deviation of this data is:

sqrt(((1.11 - 1.304)²  + (1.13 - 1.304)² + (1.40 - 1.304)² + (1.32 - 1.304)² + (1.14 - 1.304)² + (1.28 - 1.304)² + (1.13 - 1.304)² + (1.8 - 1.304)² + (1.10 - 1.304)² + (1.20 - 1.304)^2) / 9) = 0.247

One common rule of thumb for identifying outliers is to consider any data point that falls more than 2 or 3 standard deviations from the mean to be an outlier. Using this rule, we can identify any values that fall outside the range:

1.304 - 2 * 0.247 = 0.81

1.304 + 2 * 0.247 = 1.798

1.304 - 3 * 0.247 = 0.563

1.304 + 3 * 0.247 = 2.045

Based on this rule, we can see that the data point 1.8 falls outside the range of 1.798, so it can be considered an outlier.

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Answer:

10.2

Step-by-step explanation:

F(n) is basically a fancy substitute for y

25= 1.25n + 12.25

subtract 12.25 from both sides

12.75=1.25n

n=10.2

plug back in to double check

1.25(10.2) + 12.25

it equals 25, therefore the answer is

10.2

Answer:

3

Step-by-step explanation:

Using PEMDAS

19 - 8 x 2

19 - 16 = 3

Answer:

solution,

\( {x}^{3} = 64 \\ or \: x = \sqrt[3]{64} \\ or \: x = \sqrt[3]{4 \times 4 \times 4} \\ x = 4\)

Hope this helps...

Good luck on your assignment...

Answer:

x=4

Step-by-step explanation:

x^3=64

it means same number multiply by it self three times to get 64

to find x you need to use cubic root because it is to the power 3

∛x^3=∛64

∛x*x*x=∛4*4*4 or ∛4^3

x= 4

Answer:

Step-by-step explanation:

Hope this helps u!!

The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

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Answer:

Step-by-step explanation:

we are being told that each square is one unit.  so,  look at peak to peak and count the units.  

1,2,3,4,5,6,7

From peak to peak is 7 units, so the period is 7

Answer: The solution of the system of equations is (x, y) = (-1, -2).

Step-by-step explanation:

We can solve this system of equations by using either elimination or substitution method. Here, we'll use elimination:

Adding the two equations, we get:

(3x + 7y) + (-3x + 9y) = -17 - 15

Simplifying the left side and right side:

16y = -32

Dividing both sides by 16:

y = -2

Now we can substitute y = -2 into either of the original equations and solve for x. Let's use the first equation:

3x + 7(-2) = -17

Simplifying:

3x - 14 = -17

Adding 14 to both sides:

3x = -3

Dividing both sides by 3:

x = -1

Answer:

5/6π(4.25 in)^2

Step-by-step explanation:

Step 1: Calculate the full area of the disk using the formula for the area of a circle: A = π × r2

A = π × (4.25 inches)2

A = 56.41π inches2

Step 2: Calculate 5/6 of the full area.

A = (5/6) × 56.41π inches2

A = 47.01π inches2

Therefore, the area of 5/6 of the disk is 47.01π inches2.