On a number line, point A is located at 9 and point B is located at -5. What is AB?

The length of the missing side of the quadrilateral shown if the perimeter is 5x+3 and sides are 8x-4 and 10x+7 and 3x+6 is -16x+12.

This is defined as the total distance around the shape.

The perimeter is the sum of the 4 sides.

Adding , 8x-4 and 10x+7 and 3x+6 , we have:

8x-4 + 10x+7 + 3x+6  = 21x+9

Subtract that from the given perimeter to get the missing side length which is:

5x+3 - 21x+9 = -16x+12

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Answer:

The ratio of the salaries of Sneha and Alisha is 3:2. Sneha's salary is Rs. 36800, while Alisha's salary is Rs. 60000

Answer:

23 : 38

Step-by-step explanation:

Amount of salary Sneha gets= ₹ 36,800

Amount of salary Alisha gets= ₹ 24,000 more than Sneha's salary per

                                                  month

                                               = ₹ 24,000 + ₹ 36,800

                                               = ₹ 60,800

Ratio of salaries of Sneha and Alisha= 36,800 : 60,800

                                                            = 23 : 38

∴ ratio of the salaries of Sneha and Alisha is 23 : 38

Answer:

2cis(20°)

Step-by-step explanation:

we are given that

\( \displaystyle \rm z = 10cis ({30}^{ \circ} )\)

\( \displaystyle \rm w = 5cis ({10}^{ \circ} )\)

We want to find z/w . To do so, divide 10cis(30°) by w = 5cis(10°) which yields:

\( \displaystyle \rm \frac{ z}{w} = \frac{10cis ({30}^{ \circ} )}{5cis( {10}^{ \circ} )}\)

recall that,

\( \displaystyle \rm \frac{ r_{1} cis ({ { \theta}_{1}} )}{ r_{2}cis( { \theta}_{2})} = \frac{ r_{1} }{ r_{2} } cis({ \theta}_{1} - { \theta}_{2})\)

consider,

Therefore, utilizing the formula yields:

\( \displaystyle \rm \frac{ z}{w} = \frac{10cis ({30}^{ \circ} )}{5cis( {10}^{ \circ} )} \\ \implies \rm\frac{ z}{w} = \dfrac{10}{5} cis( {30}^{ \circ} - {10}^{ \circ} ) \\ \implies \rm \dfrac{z}{w} = \boxed{ \rm2cis( {20}^{ \circ} )}\)

and we're done!

NB: cis(x) is also known as cos(x)+i×sin(x)

The area of the middle rectangle is (d1 * d2) - (A1 + A2). By using the given distances and areas, we can find the area of the middle rectangle.

To find the area of the middle rectangle, we need to use the given information about the two specified distances and the areas of the left and right rectangles. Here are the steps to follow:

Let the two specified distances be d1 and d2, and the areas of the left and right rectangles be A1 and A2, respectively.
The area of the middle rectangle can be found by subtracting the areas of the left and right rectangles from the total area of the three rectangles combined.
The total area of the three rectangles combined is equal to the product of the two specified distances, or d1 * d2.
Therefore, the area of the middle rectangle is (d1 * d2) - (A1 + A2).
Plug in the given values for d1, d2, A1, and A2, and simplify to find the area of the middle rectangle.

So, the area of the middle rectangle is (d1 * d2) - (A1 + A2). By using the given distances and areas, we can find the area of the middle rectangle.

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Inequalities are used to represent unequal expressions

The inequality is given as;

\(y \ge x + 1\)

The above inequality means that the upper part of the graph is shaded, and the line of the graph is a closed line

See attachment for the grid that represents the inequality \(y \ge x + 1\)

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Answer:

1

Step-by-step explanation:

add 1/2 + 1/2 = 2/2 = 1

The function with the greatest rate of change is function B.

The function with the greatest initial value is function B.

The function that produces an output value of 25 when the input value is 6 is function A.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of function A;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-3 + 7)/(-1 + 2)

Slope (m) = 4/1

Slope (m) = 4.

At data point (0, 1) and a slope of 4, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 1 = 4(x - 0)  

y = 4x + 1

y = 4(6) + 1 = 25.

For function B, we have:

Slope (m) = (10 - 0)/(0 + 2)

Slope (m) = 10/2

Slope (m) = 5.

y - 10 = 5(x - 0)  

y = 5x + 10

y = 5(6) + 10 = 40.

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L is the slope 1 and K is the slope 2.

Given,

From the graph:

To find the graphing lines  and slopes

Now, According to the question:

Analysis the graph :

1) we can see that the line L : when level changed by one the vertical changed by one. The change in both directions is the same.

So, The slope is 1 .

The line K has aslope 2: when level changed by one, the vertical changed by two.

2) Slope is 1/3 : It means that when level changed by three, the vertical changed by one .

and, To see the graph.

Hence, L is the slope 1 and K is the slope 2.

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The sum of angles of a triangle equals 180°.

Therefore:

|∠EAB| + |∠ABE| + |∠BEA| = 180°

Susbtitute

|∠EAB| = 14°

|∠ABE| = 45°

|∠BEA| = x°

14° + 45° + x° = 180°

59° + x° = 180°    |subtract 59° from both sides

∠BEA and ∠CED are vertical angles. Vertical angles are congruent, meaning that they have the same angle measure.

Therefore

In ΔCDE:

|∠CED| + |∠DCE| + |∠EDC| = 180°

Substitute:

|∠CED| =121°

|∠DCE| = 27°

|∠EDC| = y°

121° + 27° + y° = 180°

148° + y° = 180°    |subtract 148° from both sides

P(x) = -2x² + 130x - 2000 when x is the price of each game to make the game profitable, the price should be at least $ 25 and no more than $ 40.

Quadratic equations are polynomial equations of degree 2 in one variable of the form f(x) = ax2 + bx + c = 0, where a, b, c, R, and a 0 are all zeros. It is the generic form of a quadratic equation in which 'a' is referred to as the leading coefficient and 'c' is referred to as the absolute term of f. (x). The roots of the quadratic equation (,) are the values of x that fulfil the quadratic equation.

There will always be two roots to the quadratic equation. Roots might be real or fictitious in nature.

p(x) = -2x² + 130x - 2000

The game will be profitable if P (x) > 0.

-2x² + 130x - 2000 > 0

-x² + 65x - 1000 > 0

x² - 65x + 1000 > 0

x(x-25) - 40(x -25) > 0

x>25 x < 40.

Therefore, price should be at least $ 25 and no more than $ 40.

The values of variables that satisfy the given quadratic equation are referred to as its roots. In other words, if f() = 0, x = is a root of the quadratic equation f(x).

The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.

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Answer:

12-{16-(5×2)}²

12-(16-10)²

12-(6)²

12-36

(-24)

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

If z is a standard normal random variable , then the value of z for which P(Z≤z)=0.2580 is -0.65 .

A standard normal random variable is a continuous random variable that follows a normal distribution with a mean of 0 and a standard deviation of 1.

We can use a standard normal distribution table to find the value of z for which P(Z ≤ z) = 0.2580.

By using the standard normal distribution table, we can find the value that is closest to 0.2580, which is 0.2580 itself, and locate the corresponding z-value in the table,

Which is approximately z = -0.649523 ,

⇒ z ≈ -0.65 .

Therefore , the required value of z is -0.65 .

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The given question is incomplete , the complete question is

Given that z is a standard normal random variable, the value z for which P(Z≤z)=0.2580 is

Answer:

I don't see the table, but if you do 6/4 + 5/8 = 12/8+5/8 = 17/8.

17/8 = 2.125 = 212.5%

Step-by-step explanation:

The student who correctly simplifies the expression should have an answer

of 212.5%

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Mrs. Holt writes the expression 6/4 + 5/8 .

She asks her students to simplify the expression which is,

= (6/4 + 5/8).

= (2×6 + 1×5)/8.

= (12 + 5)/8.

= 17/8.

And write the answer as a percentage which is,

= (17/8)×100%.

= 212.5%

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Answer:

rank(A) = 2 if t ≠ 3

rank(A) = 3 if t = 3

Step-by-step explanation:

For the matrix A, we can perform the following row operations:

R2 = R2 - 42R1

This gives us the following matrix:

[1 -42 0]

[0 t-3 0]

The second row is a multiple of the first row, so it is linearly dependent on the first row. Therefore, the rank of the matrix is 2.

The rank of the matrix is a function of the parameter t. When t = 3, the second row is not a multiple of the first row, so the rank of the matrix is 3. When t ≠ 3, the second row is a multiple of the first row, so the rank of the matrix is 2.

Therefore, the rank of the matrix is given by the following function:

rank(A) = 2 if t ≠ 3

rank(A) = 3 if t = 3

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The correlation analysis indicates a moderate positive relationship between Column X and Column Y.

To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to calculate the correlation coefficient:

Calculate the mean (average) of Column X and Column Y.

Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375

Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125

Calculate the deviation of each value from the mean for both Column X and Column Y.

Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)

Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)

Calculate the product of the deviations for each pair of values.

Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)

Calculate the sum of the product of deviations.

Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)

Calculate the standard deviation of Column X and Column Y.

StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]

StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]

Calculate the correlation coefficient (r).

r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]

By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.

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Answer:

Step-by-step explanation:

The domain of a set of ordered pairs is the set of the first number in every pair (which are the x-coordinate), then, for the points of the graph above:

A(-3,7)

B(3,7)

C(7,3)

D(-3,-7)

Therefore, its domain would be:

The slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4) is 0.

In mathematics, slοpe refers tο the measure οf the steepness οf a line. It is defined as the ratiο οf the vertical change (rise) between twο pοints.

Tο find the slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4), we can use the slοpe fοrmula:

slοpe = (change in y) / (change in x)

Let's call the first pοint (-2,-4) "pοint 1" and the secοnd pοint (3,-4) "pοint 2". Then, we have:

change in y = y2 - y1 = (-4) - (-4) =

change in x = x2 - x1 = 3 - (-2) = 5

Substituting these values intο the slοpe fοrmula, we get:

slοpe = (change in y) / (change in x) = 0 / 5 = 0

Hence, the slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4) is 0.

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Answer:

116 physics

text books and 232 history text books

Step-by-step explanation:

call physics tb sold x

history tb=2x

3x=348

x=116

Answer:

+160

Step-by-step explanation:

Her withdraws added up is 100 which is taking away money, because withdraw means you take your money out of your checking account.

Deposits means you add more money into your account, so added up

-100 + 260 = 160

Answer:

y ≤ 3x+1

Step-by-step explanation:

when the line is solid with no spaces in between, that automatically rules out A) and C). and the shading is underneath the line so that rules out B) as well. Also, if you look through the line that passes through the Y-axis, you can see that it is on +1 so that automatically tells you that both -1 are out.

Hope this helped you!

#MRS

Based on mathematical operations, the total package of figs to purchase is 10.

The number of packets of fig that the recipe will require is determined through unit conversions, using the mathematical operations of multiplication and division.

After converting 2 pounds to grams by multiplication, the total grams are divided by 100 to determine the number, approximated to the nearest whole.

The quantity of figs for the recipe = 2 pounds

1 packet of figs = 100 grams

1 pound = 16 oz

1 oz = 28.4 grams

1 pound = 454.4 grams (16 x 28.4)

2 pounds = 908.8 grams (454.4 x 2)

The number of packets of figs to buy = 10 (908.8/100)

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Answer:

43 or 25

Step-by-step explanation:

Plug all of the numbers into the equation.

(i'm not sure if the 3x2 is a letter or not, so i'll just solve it anyways for both.)

3(4)(2) + (2(5) +(3)(3) = 43

If it's not a letter then

3x2 + (2(5)+3(3)) = 25

The regular expression is ^(a(aa)*b)$.

To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:

^(b|(a(aa)*b))$

Breaking it down:

^ indicates the start of the string.

(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.

(aa)* matches zero or more pairs of 'a's.

$ indicates the end of the string.

This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.

Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.

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Answer:

I believe its (B.)

Answer:

(3, -9)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

-5x - 3y = 12

y = x - 12

Step 2: Solve for x

Substitution

Step 3: Solve for y

Step 4: Graph systems

Check the solution set.