if 1 kg is equivalent to 1.000g then 8.500g is 8.5kg?

The cash ratio is 0.80, or 0.80:1, which means that the company has $0.80 in cash and cash equivalents for every $1 of current liabilities that it owes.

The cash ratio is a financial ratio that measures the ability of a company to pay off its current liabilities using only its cash and cash equivalents.

The formula for the cash ratio is:

Cash Ratio = (Cash and Cash Equivalents) / (Total Current Liabilities)

Using the information given in the question:

Cash and cash equivalents = $60,000

Total current liabilities = $75,000

Plugging these values into the formula:

Cash Ratio = $60,000 / $75,000 = 0.80

Therefore, the cash ratio is 0.80, or 0.80:1, which means that the company has $0.80 in cash and cash equivalents for every $1 of current liabilities that it owes.

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Answer:

Explanations:

Given the following functions where a and b are real numbers:

Determine the composite functions f[g(x)] and g[f(x)]

Similarly for g(f(x))

Take the difference of the functions

Answer:

\(\boxed{Un = 6n + 14}\)

Step-by-step explanation:

We know that

a = 20 and b = 6

.

So

\(Un = a + (n - 1)b\)

\(Un = 20 + (n - 1)6\)

\(Un = 20 + 6n - 6\)

\(Un = 6n + 14\)

Answer:

Just use this form 》Un = a + (n -1)b

to solve this question

The correct statement is: The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change in a linear function represents how the dependent variable (in this case, height) changes with respect to the independent variable (time). To find the rate of change in this scenario, we can calculate the slope of the line that goes through the given points (2, 3) and (4, 6).

The slope of a line is determined by the change in the y-values divided by the change in the x-values. In this case, the change in y is 6 - 3 = 3 inches, and the change in x is 4 - 2 = 2 years.

Therefore, the rate of change is 3 inches / 2 years = 1.5 inches per year. This means that for every additional year of growth, the plant's height increases by an average of 1.5 inches.

Now, let's analyze the given statements:

1. The rate of change of a linear function is always the same.

  This statement is true. In a linear function, the rate of change (slope) remains constant throughout the entire graph.

2. The rate of change of a linear function always increases as the input increases.

  This statement is not necessarily true. The rate of change can be positive or negative, depending on whether the line slopes upward or downward.

3. The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

  This statement is true. We calculated the rate of change to be 1.5 inches per year.

4. The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

  This statement is not necessarily true. The rate of change may vary depending on the specific section of the graph being considered. However, we only calculated the rate of change between 2 and 4 years, so we cannot determine the rate of change over a larger time frame based on this information.

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The container can hold the feed equal to volume = 181.5 cube

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism. It is referred to as a prism because of the length of its cross-section. The study of shapes and the arrangement of objects is known as Geometry. The surface area and volume of a rectangular prism are similar to those of other three-dimensional forms. The prism's net area is equal to its surface area.

To find how much feed the rectangular prism can hold you have to find its volume.

The formula to find the volume form a rectangular prism is:

Volume= Length x Width x Height

Now we must insert the values you have given:

Volume= 2.75 x 16.50 x 4

When you multiply that out it comes to:

Volume= 181.5

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Answer:

Step-by-step explanation:

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1)

so it would be

11-(-1)/12--4)

which would be

12/16

to simplify that it is 3/4

Answer:

\(y=x^2-8x+25\)

Step-by-step explanation:

To answer this question, we will work backwards.

We know that a factor is 4+3i. This means that:

\((x-(4+3i))=0\)

Hence, we will eliminate the imaginary and convert this into standard form.

First, distribute the negative:

\(x-4-3i=0\)

Add 3i to both sides:

\(x-4=3i\)

Square both sides:

\((x-4)^2=(3i)^2\)

Expand:

\(x^2-8x+16=9(-1)=-9\)

Add 9 to both sides:

\(x^2-8x+25=0\)

Hence, our quadratic equation is:

\(y=x^2-8x+25\)

Notes:

We will get the same equation if we use (4-3i). This is because we square the (3i) regardless of its sign, making it positive.

So there are 3 distinct cubes.

There are total six sides of the  cube.

if we observe the given data and fix the sides of the cube by the  color

So suppose,

Blue color is painted on the top side of the cube

Now, we have left 5 sides

as per the information 2 sides are painted by  Red color

let suppose,

1 Red color is painted on bottom side And 1 is on side

Now, we have left 3 sides

And 3 sides are green as per the given information.

1 green color painted on the adjacent side of the red side

1 green side is opposite of red side.

and 1 opposite of green side.

Now all side are colored and if we observe the above scenario

All other possibilities can be rotated to one of these.

So there are 3 distinct cubes.

Hence we get the required answer.

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The vertex form of the quadratic function y = x² - 6x - 7 is y = (x - 3)² - 16

Given the quadratic function in the question:

y = x² - 6x - 7

The vertex form of a quadratic function is expressed as:

y = a(x - h)² + k

Where (h, k) is the vertex of the parabola and "a" is a coefficient that determines the shape of the parabola.

To write y = x² - 6x - 7 in vertex form, we need to complete the square.

We can do this by adding and subtracting the square of half the coefficient of x:

y = x² - 6x - 7

y = (x² - 6x + 9) - 9 - 7 (adding and subtracting 9)

y = (x - 3)² - 16

Hence, the vertex form is:

y = (x - 3)² - 16

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To find the equivalent we can use linear equation in one variable .the value of p is 2.

An algebraic equation of the form axe + b = c, where x denotes the variable, a, b, and c are constants, and an is not equal to zero, is known as a linear equation in one variable.

Equivalent means having the same value, function, meaning, or effect. In other words, two things are equivalent if they are equal or interchangeable in some way.

I assume that the second expression is supposed to be (n+p)•1/2, since the expression as written is incomplete.

To find the value of p that makes the two expressions equivalent, we can set them equal to each other and solve for p:

1/2(n+2) = (n+p)•1/2

Multiplying both sides by 2:

n+2 = n+p

Subtracting n from both sides:

2 = p

Therefore, the value of p that makes the two expressions equivalent is 2.

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If the cost of 2 kg of mushrooms and 2.5 kg of turnips is £8.55 and the cost of 3 kg of mushrooms and 4 kg of turnips is £13.10, then cost of 1 kg of turnips is £1.1 and cost of 1 kg of mushrooms is £2.9.

Given that the cost of 2 kg of mushrooms and 2.5 kg of turnips is £8.55 and the cost of 3 kg of mushrooms and 4 kg of turnips is £13.10.

We are required to find the cost of 1 kg of mushrooms and the cost of 1 kg of turnips.

Cost is basically the expenditure that we do in order to buy or produce a product.

Suppose the cost of 1 kg of mushrooms be x and the cost of 1 kg of turnips be y. The equations will be as under:

2x+2.5y=8.55------1

3x+4y=13.10-------2

Equation1 *3 and Equation2 *2.

6x+7.5y=25.65-----3

6x+8y=26.20-------4

Subtract 4 from 3.

6x+7.5y-6x-8y=25.65-26.20

-0.5y=-0.55

y=1.1

Put the value of y in 1.

2x+2.5*1.1=8.55

2x+2.75=8.55

2x=8.55-2.75

2x=5.80

x=2.9

Hence if the cost of 2 kg of mushrooms and 2.5 kg of turnips is £8.55 and the cost of 3 kg of mushrooms and 4 kg of turnips is £13.10, then cost of 1 kg of turnips is £1.1 and cost of 1 kg of mushrooms is £2.9.

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Answer:

40 miles

Step-by-step explanation:

2.5 miles / .25 hours = 10 miles per hour

(10 miles per hour)(4 hours) = 40 miles

Therefore, we can say with 96% confidence that the true difference in the averages between cows on the vitamins and cows not on the vitamins is between −2.82 and 105.40 pounds. Since the interval includes 0, we cannot conclude that the vitamins have a significant effect on the weight of the cows.

To calculate the confidence interval for the difference in the averages between cows on the vitamins and cows not on the vitamins, we need to calculate the mean and standard deviation for each group and then use the formula for a confidence interval for the difference between two means.

Let's denote the weight of the cows on vitamins as X1 and the weight of the cows not on vitamins as X2.

From the data, we can calculate the following:

- For cows on vitamins: mean = 1254.5 pounds, standard deviation = 146.27 pounds
- For cows not on vitamins: mean = 1203.21 pounds, standard deviation = 150.44 pounds

To calculate the confidence interval, we can use the following formula:

CI = (X1 - X2) ± t(alpha/2, df) * sqrt((s1^2/n1) + (s2^2/n2))

where X1 and X2 are the means of the two groups, s1 and s2 are the standard deviations of the two groups, n1 and n2 are the sample sizes for the two groups, df is the degrees of freedom (df = n1 + n2 - 2), t(alpha/2, df) is the t-value from the t-distribution with alpha/2 and df degrees of freedom.

For a 96% confidence interval, alpha = 0.04 and t(alpha/2, df) = 2.120. Plugging in the values, we get:

CI = (1254.5 - 1203.21) ± 2.120 * sqrt((146.27^2/19) + (150.44^2/19))
CI = 51.29 ± 54.11
CI = (−2.82, 105.40)

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The proof that shows that ΔPQR ~ ΔTSR  by the AA similarity theorem is shown below.

According to the AA similarity theorem, two triangles that have two pairs of corresponding congruent angles are said to be similar to each other.

Using this theorem, we can prove that triangles PQR and TSR are similar as shown in the proof below.

Statement                              Reason                                      

1. QR | PT                               1. Given

2. <QPR = <STR                    2. Given

3. <QRP and <SRT are right 3. Definition of perpendicular

angles

4. <QRP ≅ <SRT                     4. All right angles are ≅

5. ΔPQR ~ ΔTSR                     5. AA similarity theorem

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Answer:

f(x) = x × 0.12 if  15,000 ≤ x ≤ 30,000

        x × 0.18 if  x ≥ 30,000

Step-by-step explanation:

I. When 12% is 12/100 = 0.12

 and 18% is 18/100 = 0.18

Answer:

\(\large \boxed{\sf \ \ 9^3+10^3=1729 \ \ }\)

Step-by-step explanation:

Hello, I choose 9 and 10, so I can write

\(9^3+10^3=(9+10)(9^2-9*10+10^2)=(10+9)(81-90+100)=10*91+9*91=910+819=1729\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer: \(Heyaa!\)

Your Answer Is... 2

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Hopefully this helps you!

- Matthew ~

The equation of the tangent plane to the surface z = 4(x−1)² + 3(y+3)² + 5 at the point (2, -2, 21) is 8x + 6y - 56 = 0

The tangent plane to the surface z = 4(x−1)²+ 3(y+3)² + 5 at the point (2, -2, 21),

The gradient vector ∇f(x, y, z) of the surface function

f(x, y, z) = 4(x−1)² + 3(y+3)² + 5

∇f(x, y, z) = ( ∂f/∂x, ∂f/∂y, ∂f/∂z )

∇f(x, y, z) = ( 8(x−1), 6(y+3), 0 )

At the point (2, -2, 21), the gradient vector becomes

∇f(2, -2, 21) = ( 8(2−1), 6(-2+3), 0 )

∇f(2, -2, 21) = ( 8, 6, 0 )

The tangent plane to the surface at the point (2, -2, 21) is given by the equation

A(x - 2) + B(y + 2) + C(z - 21) = 0

where (A, B, C) is the normal vector to the plane.

Since the normal vector is parallel to the gradient vector

(A, B, C) = (8, 6, 0)

Putting these values into the equation of the tangent plane, we get

8(x - 2) + 6(y + 2) + 0(z - 21) = 0 8x + 6y - 56 = 0

Therefore, the equation of the tangent plane to the surface

z = 4(x−1)² + 3(y+3)² + 5 at the point (2, -2, 21) is

8x + 6y - 56 = 0

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False. The intercepted arc is actually twice the measure of the inscribed angle only if the inscribed angle is an angle at the center. If the inscribed angle is not at the center, the intercepted arc will have a different measure.

So, in general, the relationship between the measure of the intercepted arc and the inscribed angle it was created from depends on the location of the inscribed angle in the circle. This is a long answer, but it provides a detailed explanation of the relationship between the intercepted arc and the inscribed angle in different scenarios.

AN intercepted arc is twice the measure of the inscribed angle it was created from.
In a circle, when an inscribed angle is formed by two chords, it intercepts an arc on the circle. According to the Inscribed Angle Theorem, the measure of the inscribed angle is half the measure of the intercepted arc. Therefore, the intercepted arc is indeed twice the measure of the inscribed angle.

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The median weight of the 12 bags of fruits is 3.15 pounds.

What is median  ?

The median is a measure of central tendency that represents the middle value in a set of data when the data is arranged in order from smallest to largest (or largest to smallest). It is the value that separates the data into two equal halves.

To find the median weight of the 12 bags of fruits, we need to arrange the weights in order from smallest to largest. Here are the weights in pounds:

2.3, 2.5, 2.7, 2.9, 3.0, 3.1, 3.2, 3.5, 3.7, 3.9, 4.2, 4.5

There are 12 weights, which is an even number, so we need to find the average of the two middle values to get the median.

The middle two values are 3.1 and 3.2, so we add them together and divide by 2:

(3.1 + 3.2) / 2 = 6.3 / 2 = 3.15

Therefore, the median weight of the 12 bags of fruits is 3.15 pounds.

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The probability that the ace of diamonds and a black card will come is 1 / 51 .

Case A :

probability of first getting an ace of diamonds = 1 / 52

probability of getting a black card given first card is ace of diamond = 26 / 51

Hence , probability that the ace of diamonds and a black card will come is  ( 1 / 52 ) * ( 26 / 51 ) = ( 1 / 102 )

Case B :

probability of first getting a black card = ( 26 / 52 )

probability of getting an ace , given first card is a black card = ( 1 / 51 )

Hence , the probability that the ace of diamonds and a black card will come is  ( 26 / 52 ) * ( 1 / 51 ) = ( 1 / 102 )

P ( A ∪ B ) = P ( A ) + P (B ) + P ( A ∩ B )

                  = ( 1 / 102 ) + ( 1 / 102 )

                = 1 / 51 .

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The sample variance for the given set of data is 5.33 (rounded to two decimal places).

To calculate the sample variance, we need to follow the formula: Σ(X-X)² / (n-1), where Σ represents the sum, (X-X) represents the deviations from the mean, and n represents the number of data points.

Given the deviations from the mean for the specific set of data as -4, -1, -1, 0, 1, 2, and 3, we can calculate the sample variance as follows:

Step 1: Calculate the squared deviations for each data point:

(-4)² = 16

(-1)² = 1

(-1)² = 1

0² = 0

1² = 1

2² = 4

3² = 9

Step 2: Sum the squared deviations:

16 + 1 + 1 + 0 + 1 + 4 + 9 = 32

Step 3: Divide the sum by (n-1), where n is the number of data points:

n = 7

Sample variance = 32 / (7-1) = 32 / 6 = 5.33

Therefore, the sample variance for the given set of data is 5.33 (rounded to two decimal places).

Note: It is important to follow the class policy, which specifies rounding to two decimal places instead of one. This ensures consistency and accuracy in reporting the calculated values.

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Answer:

27 1/8

Step-by-step explanation:

217/8= 27.125 = 27

217 - (8 x 27) = 1

We've now simplified 217/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

27 1/8

Simplifying our fraction

In this case, our fraction (1/8) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 8 is 1.

1/1 = 1

8/1 = 8

When we put that together, we can see that our complete answer is:

27 1/8

Answer:

217  4/5

Step-by-step explanation:

The correct option is C. Isolating a variable in one of the equations.

The first step in solving a system of nonlinear equations by substitution is to isolate a variable in one of the equations.

A set of two or more equations in two or more variables that includes at least one nonlinear equation is referred to as a system of nonlinear equations.

The method to solve a system of nonlinear equations by substitution is-

The importance of systems of nonlinear equations are-

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The complete question is-

Which is most likely the first step in solving a system of nonlinear equations by substitution?

A. Substituting a number for one of the variables

B. Substituting one equation into the other equation

C. Isolating a variable in one of the equations

D. Taking the square root of both sides of one of the equations

Answer:

Isolating a variable in one of the equations.

Step-by-step explanation:

The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic if the expected frequency in each cell is at least 5.

The chi-square statistic is a measure of how different an observed frequency is from the expected frequency. It is calculated by taking the difference between the observed and expected frequency in each cell, squaring it, and then summing the results. This measure can then be compared to a chi-square distribution with degrees of freedom equal to the number of cells minus one. If the calculated statistic is larger than the expected value from the chi-square distribution, then it can be concluded that the observed frequency differs significantly from the expected frequency.
In order to use the chi-square approximation, it is important that the expected frequency in each cell is at least 5. This is because the chi-square approximation only works well when there are large expected frequencies. When expected frequencies are smaller than 5, the chi-square statistic is not an accurate measure of the difference between the observed and expected frequencies.

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\(\displaystyle\\Answer: \frac{400}{93}\approx4.3\)

Step-by-step explanation:

\(\displaystyle\\4:0.93=\\\\\frac{4}{0.93 }=\\\\\frac{4}{\frac{93}{100} } \\\\\frac{4*100}{93} \\\\\frac{400}{93} \approx\\\\4.3\)

Answer:

y=16x

Step-by-step explanation:

y=(8)(2)x

--HEART IF THIS HELPED OR BRAIN ME!!--

The ordered pairs (-3, 1), (-2, 2), (-1, 4), (0, 8), (1, 16), (2, 32) and (3, 64) on the graph are plotted below.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

The given equation is y=8×2ˣ.

Here, in table

x        -3      -2     -1      0     1      2      3

y         1        2      4     8     16   32    64

So, the ordered pairs are (-3, 1), (-2, 2), (-1, 4), (0, 8), (1, 16), (2, 32) and (3, 64)

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y=0.

Horizontal Asymptote: y=0

Therefore, the ordered pairs on the graph are plotted below.

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Graphing the two parabolas y=x² and y=-x² in the same coordinate plane can be done in a few steps.

Step 1: Plotting the Points To plot the points, you can take values of x and then find the corresponding value of y. You can use a table to list down the values of x and y. For example, For x = -2, y = 4 (y=x²) For x = -2, y = -4 (y=-x²) Similarly, you can calculate more values of x and y and plot them. The plotted points should look like this: Step 2: Drawing the Parabolas can be drawn by connecting the plotted points with a smooth curve. You can use a ruler or freehand drawing to draw the curves. Once you have drawn the parabolas, it should look like this: Step 3: Finding the Equations of the Two Lines Simultaneously Tangent to Both Parabolas.

To find the equations of the two lines simultaneously tangent to both parabolas, you can use the following steps: Step 3a: Differentiating the Parabolas To find the equations of the tangent lines, you need to differentiate the parabolas. y = x²  dy/dx = 2x y = -x²+2x-5  dy/dx = -2x+2 Step 3b: Equating the Slopes Equate the slopes of the tangent lines to the slopes of the parabolas. 2m = 2x - 0 (for y = x²) 2m = -2x + 2 (for y = -x²+2x-5) Solve for x by equating the two equations. 2x = -2x + 2 4x = 2 x = 0.5Step 3c: Finding the y-Coordinate of the Points of Tangency Substitute x = 0.5 in the equation of the parabolas to find the y-coordinate of the points of tangency. y = x² y = 0.25 y = -x²+2x-5 y = -5.25Step 3d: Finding the Equations of the Lines Use the point-slope formula to find the equations of the lines. y - y₁ = m(x - x₁) y - 0.25 = 1(x - 0.5) y = x - 0.25 y - (-5.25) = -1(x - 0.5) y = -x - 4.75 The equations of the two lines simultaneously tangent to both parabolas are y = x - 0.25 and y = -x - 4.75.

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Answer:

The model on the top right.

Answer:

your answer would be the top right one

Step-by-step explanation:

I don't really know how to explain how I got my answer in words sorry.

Hope this helps! Have a great day ahead. Tell me if im wrong :) Stay Safe <3