4 3/8 + 5 1/8 = (make sure you simplify the fraction)

Answer:

-57.6=x

Step-by-step explanation:

-22.3= x/3-3.1
-19.2=x/3
-57.6=x

The main answer is that without specific values or elements for sets A and B, we cannot determine the result of A - B and B - A.

To find A - B, we need to subtract the elements in set B from set A. Similarly, to find B - A, we need to subtract the elements in set A from set B.

However, I need the specific values or elements of sets A and B to perform the calculations. Could you please provide the values or elements of the sets?In order to perform set subtraction, we need the specific elements or values of sets A and B. Set subtraction involves removing the common elements between the sets.

Let's say set A is {1, 2, 3} and set B is {2, 3, 4}. To find A - B, we remove the elements in set B from set A. Thus, A - B would be {1}.

To find B - A, we remove the elements in set A from set B. Therefore, B - A would be {4}.

Please provide the values or elements of sets A and B, and I will be able to calculate A - B and B - A accordingly.

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The firm's accounting profit earnings as required to be determined in the task content is; $0.

As evident in the task content, the firm produces 275,000 units a year and sells them all for $8 each.

Therefore, the total revenue generated from sales is; 275,000 × $8 = $2,200,000.

Hence, since the total cost is the sum of $1,800,000 and $400,000 which is; $400,000 + $1,800,000 = $2,200,000.

Ultimately, the total accounting profit earned is; Revenue generated - Expenses = $2,200,000 - $2,200,000 = $0.

Therefore, the total accounting profit earned is; $0.

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Answer:

y = -3x - 4

Step-by-step explanation:

Pick 2 points that are easy to read on line A and find the slope.  Using (-2, 8) and (2, -4):

m = Δy/Δx = (-4 - 8) / (2 - -2) = -12/4 = -3

Line B is parallel to Line A, so it has the same slope, -3

Use point P (0, -4) and the point-slope form to find the y-intercept, c, of Line B.

(y - -4) = -3(x - 0)

y + 4 = -3x

y = -3x - 4

Note:  you can skip the last step, because point P (0. -4) is already on the y-axis, so you know that c = -4

Answer:it can hold 23 passangers

Step-by-step explanation:

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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Answer:

∠CDF = 48°

Step-by-step explanation:

∠CDE = ∠EDF + ∠CDF

Given that,

∠CDE = 114°

∠EDF = 66°

So, to find the value of ∠CDF, you have to subtract the value of ∠EDF from ∠CDE.

∠CDF = ∠CDE - ∠EDF

∠CDF = 114 - 66

∠CDF = 48°

9514 1404 393

Answer:

  have the child arrange the tokens in groups of 5. none left = divisible by 5

Step-by-step explanation:

A number is divisible by 5 if there is no remainder when it is divided into 5 parts. Using "manipulatives," this can be shown a couple of ways:

  1) deal the tokens to 5 piles (each pile will have the same number)

  2) group the tokens into groups of 5 (no tokens will be left over)

Using thie model ,The answer is D. 27.

To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.

Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.

We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:

9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27

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Answer: 2x5x1, 1x10x1 (in any order) and any 3 multiples that make 10

Step-by-step explanation:

Answer:

There are multiple possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet. Here are some possible solutions:

A rectangular prism with dimensions of 1 ft x 2 ft x 5 ft (length x width x height) would have a volume of 10 cubic feet, since 1 x 2 x 5 = 10.

A rectangular prism with dimensions of 2 ft x 1 ft x 5 ft (length x width x height) would also have a volume of 10 cubic feet, since 2 x 1 x 5 = 10.

A rectangular prism with dimensions of 0.5 ft x 1 ft x 20 ft (length x width x height) would also have a volume of 10 cubic feet, since 0.5 x 1 x 20 = 10.

A rectangular prism with dimensions of 5 ft x 1 ft x 2 ft (length x width x height) would have a volume of 10 cubic feet, since 5 x 1 x 2 = 10.

There are infinitely many other possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet.

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Answer:

\(x=-\frac{43}{3}\)

Step-by-step explanation:

\(-4(6x+7)=-316 \\ \\ 6x+7=-79 \\ \\ 6x=-86 \\ \\ x=-\frac{43}{3}\)

Answer:

x=12

Step-by-step explanation:

hope this helps! -4(6x + 7) = -316=x=12

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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The division of x⁵ - x⁴ + 9x³ - 9x² + 9x - 10 by x - 1 will have a quotient of x⁴ + 9x² + 9 and a remainder of -1 using synthetic division.

The procedure for synthetic division involves the following steps:

Divide.

Multiply.

Subtract.

Bring down the next term, and

Repeat the process to get zero or arrive at a remainder.

We shall divide x⁵ - x⁴ + 9x³ - 9x² + 9x - 10 by x - 1 as follows;

x⁵ divided by x equals x⁴

x - 1 multiplied by x⁴ equals x⁵ - x⁴

subtract x⁵ - x⁴ from x⁵ - x⁴ + 9x³ - 9x² + 9x - 10 will give 9x³ - 9x² + 9x - 10

9x³ divided by x equals 9x²

x - 1 multiplied by 9x² equals 9x³ - 9x²

subtract 9x³ - 9x² from 9x³ - 9x² + 9x - 10 will give 9x - 10

9x divided by x equals 9

x - 1 multiplied by 9 equals 9x - 9

subtract 9x - 9 from 9x - 10 will give us a remainder of -1

Therefore by synthetic division, x⁵ - x⁴ + 9x³ - 9x² + 9x - 10 divided by x - 1 will result to a quotient of x⁴ + 9x² + 9 and a remainder of -1.

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To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Step-by-step explanation:

let x be rubgy liked let y football liked

x/125=12/25

ansx=60

again

y/60=5/4

ans y=75

football liked students are 75

Yes, the given statement is true.

That is, developing and/or maintaining a data analysis codebook is useful in both quantitative and qualitative analysis.

Here,

Quantitative analysis;

Utilizing computational and statistical techniques, quantitative data analysis focuses on the statistical, mathematical, or numerical study of datasets.

Qualitative analysis;

The determination of non-numerical information about a chemical species, a reaction, etc. is known as qualitative analysis.

Codebook;

A codebook provides information on a data collection's composition, organization, and design. For each variable in a data file, a well-documented codebook "contains information designed to be comprehensive and self-explanatory."

That is,

The developing and/or maintaining a data analysis codebook is useful in both quantitative and qualitative analysis.

So, the statement is true.

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The equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is: Interest = $750 * 0.16.

To write the equation for calculating the yearly interest earned on an investment, we can use the formula:

Interest = Principal * Rate

Where:

- Principal is the initial investment amount.

- Rate is the interest rate expressed as a decimal.

In this case, you invested $750, and the annual interest rate is 16%. To use the decimal form of the interest rate, we divide it by 100:

Rate = 16% = 16/100 = 0.16

Substituting the values into the equation:

Interest = $750 * 0.16

To calculate the interest, we multiply the principal by the interest rate:

Interest = $750 * 0.16 = $120

Therefore, the equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is:

Interest = $750 * 0.16

Now, let's complete a table to show the growth of your investment over multiple years. We'll assume the interest is compounded annually.

Year | Initial Investment | Interest Earned | Total Value

---------------------------------------------------------

 1        $750                 $120              $870

 2        $870                 $139.20          $1009.20

 3        $1009.20            $161.47          $1170.67

 4        $1170.67            $187.31          $1357.98

 5        $1357.98            $217.28          $1575.26

In each year, we calculate the interest earned by multiplying the initial investment by the interest rate (16% or 0.16). The total value is obtained by adding the initial investment and the interest earned. This process is repeated for each subsequent year.

The table shows the growth of your investment over five years, demonstrating how the interest compounds and increases the total value each year.

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f(x) = x - 5 ln(x)

Get the derivative:

f'(x) = 1 - 5/x

Find the critical points:

• f'(x) = 1 - 5/x = 0   ->   5/x = 1   ->   x = 5

• f'(x) is undefined for x = 0, but that's outside the domain of f(x)

Get the second derivative:

f''(x) = 5/x ^2

Check the sign of the second derivative at the critical point x = 5:

f'' (5) = 5/5^2 = 5/25 = 1/5 > 0

Since the second derivative is positive at this point, this means x = 5 is a local minimum.

Check the value of f(x) at the critical point as well as the endpoints of the given domain:

f (5) = 5 - 5 ln(5) ≈ -3.407

f (1/5) = 1/5 - 5 ln(1/5) ≈ 1.809

f (10) = 10 - 5 ln(10) ≈ -1.513

So we have

• absolute maximum = 1/5 - 5 ln(1/5) at x = 1/5

• absolute minimum = 5 - 5 ln(5) at x = 5

The absolute maximum value is  f(5)=5−5ln(5), and this occurs at x equals 5

The absolute minimum value is  f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5

Given the function f(x)=x−5ln(x),

We are to find the absolute minimum and maximum value of the function

At the turning point f'(x) = x - 5ln(x)

f'(x) = 1 - 5/x

0 = 1 - 5/x

-5/x = -1

-x = -5

x = 5

Find the second derivative of the function;

f''(x) = -5/x²

Substitute the value of x = 5 into the second derivative function to have:

f''(5) = -5/5² = 1/5

Since f''(5) = 1/5 < 0, this is the local maximum and the point x = 5 is the absolute minimum

The absolute maximum value is  f(5)=5−5ln(5), and this occurs at x equals 5

The absolute minimum value is  f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5

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Hello!

area

= 2*25 + (20 - 2)*(25-8)

= 50cm² + 306cm²

= 356cm²

Answer:

the second one looks like it is correct

Solution:

Note that:

Simplify the equation to find the radius. Then double the radius to obtain your diameter.

The diameter of the circle is 1 unit.

\(\\ \tt\hookrightarrow \pi d=3.14\)

\(\\ \tt\hookrightarrow 3.14d=3.14\)

\(\\ \tt\hookrightarrow d=1\)

Answer:

Hello Asuna here

I’m sorry if any of my answers are wrong but I hope it helps you answers below

Step-by-step explanation:

The answer to the first one is D

The answer to the second is C

Hope this helps a little

if it only has one root and is a 2nd degree polynomial, that means that the only one root has multiplicity of 2, or namely is repeated twice.

\(\begin{cases} x = 5 &\implies x -5=0\\ x = 5 &\implies x -5=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x -5 )( x -5 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that} \begin{cases} x=-1\\ y=12 \end{cases} \\\\\\ a ( -1 -5 )( -1 -5 ) = 12\implies a36=12\implies a=\cfrac{12}{36}\implies a=\cfrac{1}{3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{3}(x-5)(x-5)=y\implies \cfrac{1}{3}(x^2-10x+25)=y\implies \boxed{\cfrac{x^2}{3}-\cfrac{10x}{3}+\cfrac{25}{3}=y}\)

Answer:

q=8/3

Step-by-step explanation:

First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.

Answer:

\(q=2\frac{2}{3}\)

Step-by-step explanation:

The given equation consists of a fraction and a mixed number.

First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(q-\dfrac{5}{6}=1 \frac{5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{11}{6}\)

Now, add 5/6 to both sides of the equation to isolate q:

\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)

\(q=\dfrac{11}{6}+\dfrac{5}{6}\)

As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:

\(q=\dfrac{11+5}{6}\)

\(q=\dfrac{16}{6}\)

Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).  

The GCF of 16 and 6 is 2, therefore:

\(q=\dfrac{16\div 2}{6 \div 2}\)

\(q=\dfrac{8}{3}\)

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

\(q=2 \; \textsf{remainder}\;2\)

The mixed number answer is the whole number and the remainder divided by the denominator:

\(q=2\frac{2}{3}\)

Answer:

should be complementary angles

Step-by-step explanation:

First, is 0 greater than -2? Correct

Next, is 6 greater than -12? Correct

Is -7 less than -5? Correct

Finally, is -5 less than -8? NERP!!

So C. is incorrect. Or in this case, it is...

Answer:

price per pound of apple = $1.25

price per pound of banana = $0.75

Step-by-step explanation:

Your first question is what value should you multiply the second equation by in order to eliminate the y terms.

The number should be 3.  Let us multiply the first equation by 2 and the second equation by 3 and see how y will be eliminated.

10x + 6y = 17...............(i)

9x + 6y = 15.75...........(ii)

10x - 9x  = x

6y - 6y = 0

17 - 15.75 = 1.25

x = 1.25

let us find y

10x + 6y = 17...............(i)

10(1.25) + 6y = 17

12.5  + 6y = 17

6y = 17 - 12.5

6y = 4.5

divide both  sides by 6

y = 4.5/6

y = 0.75

In order to eliminate y term from the system of equations we multiply equation 2 by -3.

The price per pound of apple is 1.25 dollars and the price per pound of bananas is 0.75 dollars.

Given equations,

\(5x + 3y = 8.5\).........(1)

\(3x + 2y = 5.25\).......(2)

Here x is the cost per  pound of apples, and y is the cost per pound of bananas.

According to the question, multiply the first equation by 2, we get

\(10x+6y=17\).....(3)

So, in order to eliminate y term from the system of equations we multiply equation 2 by -3, we get

\(-9x-6y=15.75\).....(4)

Now Adding (3) and (4) equation, we get

\(x=1.25\)

Putting the above value of x in equation 3 we get,

\(10\times1.25+6y=17\\12.5+6y=17\\6y=17-12.5\\6y=4.5\\y=\frac{4.5}{6} \\y=0.75\)

Hence the price per pound of apple is 1.25 dollars and the price per pound of bananas is 0.75 dollars.

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The measure of angle 1 and angle 4 are equal, that is 62°, by vertical angle theorem.

Given that, m∠1=62° and lines t and l intersect.

From the given figure,

m∠1 and m∠4 are vertically opposite angles.

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

Here, m∠1 =m∠4=62°

Hence, it is proved.

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