The expression I found in question number 3 is 141x^2 - 200x + 47

Answer:

10:9

Step-by-step explanation:

First ratio is 5:4. 4 is equal to Henry class

If you múltiply the ratio by 2 you get

10:8, This ratio can be compared because now Henry class has 8

2(5:4)

10:8

8:9

Meaning that the answer is 10:9

The require ratio of number of students in Mr. Moore's class to Mr. Wilson's class is 10:9

The ratio can be expression as how many times one number contain another number.

For example, If any bag contain 4 apples and 8 oranges then the ratio of apple to orange is 4:8 while the ratio of the orange to the apple is 8:2

Consider M denote the number student present in the Mr. Moore's class

similarly H denote the number of student in miss Henry's class and W denote the number of student present in Mr. Wilson's class

then we have given that

M : H = 5 : 4 or

\(\frac{M}{H} = \frac{5}{4}\)

Also we have H : W = 8 : 9

\(\frac{H}{W} = \frac{8}{9}\)

Now multiply these two equations we have

\(\frac{M}{H}\times \frac{H}{W}=\frac{5}{4}\times\frac{8}{9}\)

\(\frac{M}{W}= \frac{10}{9}\)

The ratio of number of student in Mr. Moore's class to Mr. Wilson's class is 10:9

This is the conclusion to the answer.

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Answer:

-19

Step-by-step explanation:

Hope this helps

Answer: Y-8=5X  Y=-87  -87-8=5X  -95=5x  -95 divided by 5 = -19

X= -19

Step-by-step explanation:Quick mafs

Answer:

25 gallons of the 70% and 75 gallons of the 30%

Step-by-step explanation:

First, make three baskets. One having x, the second having 100-x, and the third having 100. The reason you have 100-x is because you are adding two unknown numbers, and when you add them they equal 100. And if they add to be 100, 100-x=100-x. To continue, under each basket, write the number of the percent. So the first basket would have 70 under it, the second one would have 30 under it, and the third one would have 40 under it. Then multiply the number inside the basket by the number under. Then you would get 70x+3,000+30x=4,000. Next, 40x+3,000=4,000. Then 40x=1,000. x=25. That's the first basket. For the second, you do 100-25 because of the equation inside the second basket, which is 75. Hope this helps!

Answer:

Step-by-step explanation:

angles x, 2x, and 23.7 add up to 180 degrees

x + 2x + 23.7 = 180

3x + 23.7 = 180

subtract 23.7 on both sides

3x + 23.7 - 23.7 = 180 - 23.7

3x = 156.3

divide both sides by 3

x = 52.1

Angle C is a straight line = 180 degrees

Angle B is found by adding 32.5 and x, and subtracting it from 180 degrees (since three angles in a triangle must add up to 180)

we found x = 52.1 degrees

so angle B = 180 - 32.5 - 52.1 = 95.4 degrees

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Answer:

=(-4/3)-(-3/2)

=(-4/3)+(3/2)

multiplying and dividing the 1st term by '2'

=(-8/6)+(3/2)

multiplying and dividing the 2nd term by '3'

=(-8/6)+(9/6)

Bases are equal so adding the numerators

=((-8)+9)/6

=1/6

Step-by-step explanation:

here is your solution

The domain of the function above is [-2, 3].

The range of the function above is [-2.5, 2].

The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].

The intervals over which the function is decreasing is [1.5, -2.5].

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this rational expression (function)   shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-2, 3] or -2 ≤ x ≤ 3.

Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.

Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].

In conclusion, the given function is not constant over any interval.

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Answer:

Selling price = rs 306

Step-by-step explanation:

Loss = cp - sp

54 = 360 - sp

Sp = 360-54 = rs 306

"Ashley, Frank, and Erick have a total of $86", this can be expressed as

"Ashely has $6 more than Erick", this can be expressed as

"Frank has 2 times what Erick has", this can be expressed as

Then, we combine all three equations

Let's solve for E.

Then, we find the other values.

Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

The difference in speed between Explorer B and Explorer A is 600 miles per hour.

In order to determine how fast the satellites are travelling, the average speed of the satellites have to be calculated. Average speed is the total distance covered per time.

Average speed = total distance / total time

Average speed of Space Explorer B = 74,400 / 12 = 6,200 miles per hour

Average speed of Space Explorer A = 72,800 / 13 = 5,600 miles per hour

Difference in speed = 6,200 miles per hour - 5,600 miles per hour = 600 miles per hour.

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Two or more expressions with an equal sign is Equation.-76(x-61)=x-89 is the equation for −76 times the difference between a number and 61 is equal to the number plus −89.

Two or more expressions with an equal sign is called as Equation.

The sentence −76 times the difference between a number and 61 is equal to the number plus −89. We have to express in the form of equation.

−76 times the difference between a number

Let the number be 'x', times means multiplication and difference is subtraction.

-76(x-61)

the number plus −89

x+(-89)

−76 times the difference between a number and 61 is equal to the number plus −89.

-76(x-61)=x+(-89)

-76(x-61)=x-89

Therefore -76(x-61)=x-89 is the required equation.

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1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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Answer:

I believe it's 21.75 in simplest form

good luck :D

The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

From the question, we have the following parameters that can be used in our computation:

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

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Answer:

3/8

Step-by-step explanation:

hope it helps :)

Answer:

54.91 i think!!

Step-by-step explanation:

To find the missing leg, we use Pythagorean's Theorem

Where c = 6 and a = 3. Let's use these values to find b-

Answer:

Step-by-step explanation:

Arithmetic sequence has a linear behavior since its common difference is the slope of the line.

If y-values decrease as x-values increase then this is a decreasing function.

Correct choice is B

Answer:

Decreasing linear

Step-by-step explanation:

As x values like 1,2,3.. are decreasing with respect to y hence it's decreasing function

Also

Arithmetic progression is linear hence it's decreasing linear

The radius of the circular mouse is 3.7 inches.

The area of the circular mouse pad 45 square inches. Therefore, the radius of the circle can be found as follows:

area of the circle = πr²

where

Therefore,

area of the circular mouse = 3.14 × r²

45 = 3.14r²

divide both sides by 3.14

r² = 45 / 3.14

r² = 14.3312101911

square root both sides

r = √14.331210911

r = 3.78565714243

r = 3.7 inches

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Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

The expression simplified can be written as:

16m +  8

Here we want to simplify the following expression:

(8m + 4) + (8m + 4)

To simplify, we start by removing the parenthesis:

8m + 4 + 8m + 4

Now we can change the order of the terms so we get:

8m + 8m + 4 + 4

Now we can group the like terms to get:

(8m + 8m) + (4 + 4)

And simplify this to get:

16m +  8

That is the simplified expression.

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As group size increases, the complexity of the group increases (option A).

What is group size?

Even within the same species, group size can vary greatly, so we frequently need statistical tests to evaluate these measurements between two or more samples as well as statistical measures to quantify group size. Since group sizes typically follow an aggregated (right-skewed) distribution, where most groups are small, few are large, and a very small number are very large, group size measures are infamously challenging to handle statistically.

As group size increases, the complexity of managing and coordinating the group also increases.

The larger the group, the more difficult it is to communicate effectively, to make decisions, and to ensure that everyone is working towards a common goal.

This is why larger organizations often have more complex hierarchies and more formalized communication and decision-making processes.

Therefore, the correct option is A.

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The steps peter could use in solving the quadratic equation is by applying the quadratic formula; x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

8x² + 16x + 3 = 0

using Quadratic formula

The following steps are involved

\(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)

\(x = \frac{ -16 \pm \sqrt{16^2 - 4(8)(3)}}{ 2(8) }\)

\(x = \frac{ -16 \pm \sqrt{256 - 96}}{ 16 }\)

\(x = \frac{ -16 \pm \sqrt{160}}{ 16 }\)

\(x = \frac{ -16 \pm 4\sqrt{10}\, }{ 16 }\)

\(x = \frac{ -16 }{ 16 } \pm \frac{4\sqrt{10}\, }{ 16 }\)

\(x = -1 \pm \frac{ \sqrt{10}\, }{ 4 }\)

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

\(x = -0.209431\)

or

\(x = -1.79057\)

Therefore, the steps peter could follow will give the result

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

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Answer:

6.666 minutes or 6 minutes and 40 seconds

Step-by-step explanation:

20/ 3 = 6.66...

The total time divided by the number of miles equals the average mile time.

Hope this helps! Have a great day or night (wherever you are)! : )

Answer:

0.1

0.3

0.22

0.38

Step-by-step explanation:

Answer:

1ST BOX Picking a Comedy movie

2ND BOX picking a science  fiction movie

3RD BOX picking a dramatic movie

LAST BOX Picking a romantic movie

Step-by-step explanation:

I took the test

The capital is £430,600.

Define capital.

The money that a company has on hand to support both its current operations and potential expansion is known as capital. One source of funding for it is the earnings from its operations. When calculating a company's capital worth, all of the company's physical assets and financial assets would be included (minus its liabilities).

The capital account—also referred to as the capital and financial account—records the net flow of investment transactions into an economy and is used in macroeconomics and international finance.

Solution Explained:

Given, Assets = £451,100 and liabilities = £20,500

Capital = Assets - Liabilities

            = 451100 - 20500
            = £430,600

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The other Number is 187.

To find the other number, we can use the information provided in the problem.

Let's denote the smaller number as "x" and the other number as "y". According to the problem, the difference between the two numbers is 97. So, we can set up the following equation:

y - x = 97

We are also given that the smaller number is 90. We can substitute this value into the equation:

y - 90 = 97

To find the value of "y," we can add 90 to both sides of the equation:

y = 97 + 90

y = 187

Therefore, the other number is 187.

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Which number we have added to 18 to get 90 and we have LHS = RHS

unknown number added to 18 we get 90

Put 72 in the variable of x

Therefore, LHS = RHS.