Find the quotient.
5^-3/5^-1

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:

Step-by-step explanation:

I'm assuming that the barrel is in the shape of a cylinder..

Givens

r = 7

pi = 3.14

V = 2041.11

Formula

V = pi * r^2 * h

h = V / (pi * r^2)

Solution

h = 2041.11/(3.14 * 7^2)

H = 2014.11 / 153.86

H = 13.09

Answer:

n²-2

Step-by-step explanation:

Let's let n stand for a number. 2 less than a square of a number, that means, the result of n²-2 is two less than n². I hope this makes sense!

The volume of the given figure is 1176 cubic cm.

The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).

The volume of the figure is calculated as,

Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )

Volume = 1176 Cubic cm

Hence, the volume of the figure will be equal to 1176 Cubic cm.

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Hello, I was happy to solve the problem. If you find a bug, post in the comments or click on the report, I will see it and try to fix it as soon as possible.

The answer to this problem: 2

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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Answer:

C.

Step-by-step explanation:

Most people do not want personal information about sensitive topics revealed about themselves, so Topic A requires anonymity.  

With non-sensitive topics, people are usually comfortable with revealing their identity, so Topic B doesn't require anonymity.

A square root function that is represented by the graph include the following: A. f(x) = √(4x + 8).

In Mathematics and Geometry, a square root function can be defined as a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.

Where:

Therefore, the required square root function is given by;

f(x) = √(4x + 8)

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Answer:

D

Step-by-step explanation:

What effect does Mathilde's losing the necklace have on the plot in "The Necklace"? It creates doubt in the mind of Madame Forestier' as to Mathidle's honesty. It helps extinguish Mathilde's longing for a life of luxury and wealth. It leads Mathilde and her husband into a life of debt, hard work, and poverty.

Answer:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Quincy spends  of his pocket money on snacks to keep in his locker. Write the fraction  in decimal form.

The decimal equivalent of  is .

Step-by-step explanation:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Quincy spends  of his pocket money on snacks to keep in his locker. Write the fraction  in decimal form.

The decimal equivalent of  is .

Answer:

Parameter estimates

The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.

The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.

The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.

Step-by-step explanation:

To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,

Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)

Qx = 10 - 10 + 20 + 25

Qx = 45 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family is 45 liters.

If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,

Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)

Qx = 10 - 10 + 30 + 25

Qx = 55 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.

To determine the demand function, we need to solve for Qx in terms of the other variables,

Qx = 10 - 5Px + 0.001M + 10Py

Qx - 10Py = 10 - 5Px + 0.001M

Qx = (10 - 5Px + 0.001M) / 10Py

Therefore, the demand function is:

Qx = (10 - 5Px + 0.001M) / 10Py

To find the inverse demand function, we need to solve for Px in terms of Qx.

Qx = 10 - 5Px + 0.001M + 10Py

5Px = 10 - Qx - 0.001M - 10Py

Px = (10 - Qx - 0.001M - 10Py) / 5

Therefore, the inverse demand function is,

Px = (10 - Qx - 0.001M - 10Py) / 5

Answer:

8:15:30

Step-by-step explanation:

8:15:30 a.m hope I helped ;)

Answer:

I believe the answer to this question is D.

Hope this helps! :)

Answer:

22/45

Step-by-step explanation:

i literally just looked it up and that's what it gave me i pretty sure its right

9514 1404 393

Answer:

  25 ft

Step-by-step explanation:

The volume is given by the formula ...

  V = LWD . . . . . the product of length, width, depth

Solving for L, we have ...

  L = V/(WD) = (1700 ft³)/((17 ft)(4 ft)) = 100/4 ft = 25 ft

The length of the pool is 25 ft.

9514 1404 393

Answer:

  y = 3/2x -10

Step-by-step explanation:

The point-slope equation can be written ...

  y = m(x -h) +k . . . . . for a line with slope m through point (h, k)

Using the given values, this is ...

  y = (3/2)(x -6) -1 = 3/2x -9 -1

  y = 3/2x -10 . . . . . slope-intercept equation

Answer:

V = x(19-2x)(4-2x)

Step-by-step explanation:

We are given;

Length of flat piece of material =19 inches

Width of flat piece = 4 inches

We are told that the open box is to be made from a flat piece by cutting equal squares of length x from the corners and folding up the sides

Thus, we will now have;

length of open box = (19-2x) inches

Width of open box = (4-2x) inches

Height of box = x inches

We know that: Volume of box = length × width × height

So, plugging in the relevant values, we have;

Volume of box(V) = x(19-2x)(4-2x)

Answer:

Step-by-step explanation: The gradient(slope) y-axis intercept form of a straight line is = mx +b, where m is the gradient(slope), b is the y-axis intercept we are given a gradient of -3, Therefore = -3x +buse the given point (-3, 5) to solve for b5 = -3(-3) + b5 = 9 +bb = -4 Therefore,y = -3x -4or3x +y +4 = 0

D. hope this helps, if you require an explanation somebody else do it im a lorax^-^

Answer:

A: 2,3

B: -5,1

for ii and iii and b), the easiest way to find the points are by moving on the x-axis(straight across/ horizontal line), then the y-axis(the up to down one). the first point for example (-3,-2), you would move 3 times to the left, and 2 times to the bottom, because if its a negative x, you move left, while if its a positive x, you move right, and if its a negative y, you move down, while a positive y moves you up.

Step-by-step explanation:

I really hope it helps!!!

Answer:

No

Step-by-step explanation:

Coordinates are (2,3)

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

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Answer:

so the ratio is what? to me I think it's 15 iguanas to 5 dogs

Step-by-step explanation:

have a great day :)

Step-by-step explanation:

well, do the division. a fraction is nothing else.

13 divided by 20.

13/20 = 0.65

Answer: D. A or B depending on the distribution of the sample

Step-by-step explanation:

Given: A question ask about how many hours per week do you watch television?

Total participants = 300

Since all participants are different ,  so have their own answer to this question in numerical terms.

We use proportion or percentage to summarize data if data is categorical, but here data is numerical (continuous).

here , we can use either mean or median ( if it has outliers).

For this we need to check the distribution of the data, if it is normal then Mean, standard deviation, and range would be a better option (as mean is the best measure of tendency)otherwise Median, IQR, and range would be a better option .

hence, the correct option is D. A or B depending on the distribution of the sample

The measure of the numbered angles of the quadrilaterals in the question are presented as follows;

14. m∠1 = 54°, m∠2 = 36°, m∠3 = 54° m∠4 = 108°, m∠5 = 72°

15. m∠1 = 90°, m∠2 = 45°, m∠3 = 45°, m∠4 = 45°, m∠5 = 45°

16. m∠1 = 64°, m∠2 = 64°, m∠3 = 26°, m∠4 = 90°, m∠5 = 64°

A quadrilateral is a four sided polygon.

14. The figure is a rectangle

The two diagonals of a rectangle are the same length and the diagonals of a rectangle bisect each other, therefore;

The triangles formed by the diagonals of the rectangle are isosceles triangles.

The angle at the vertex of the isosceles triangle that has 36° as the base angle of the triangle is therefore; (180° - 2 × 36°) = 108°

The angle ∠4, is a vertical angle to the angle calculated above, therefore;

m∠4 = 108°

m∠5 = (360° - 2 × 108°) = 72°

m∠5 = 72°

The similar triangles formed by the diagonals indicates that we get;

m∠2 = 36°

m∠1 = (180° - m∠5)/2

Therefore; m∠1 = (180° - 72°)/2 = 54°

m∠1 = 54°

∠1 ≅ ∠3

Therefore; m∠3 = m∠1 = 54°

m∠3 = 54°

15. The quadrilateral is a square, therefore;

The diagonals bisect each other and are perpendicular.

m∠1 = 90° (Definition of perpendicular angles)

m∠5 = (180° - 90°)/2 = 45°

m∠5 = 45°

∠3 ≅ ∠5, therefore;

m∠3 = m∠5 = 45°

m∠3 = 45°

m∠3 + m∠2 = 90° (The vertex angles of a square are 90°)

m∠2 = 90° - m∠3

m∠2 = 90° - 45° = 45° (Substitution property)

m∠2 = 45°

16. The quadrilateral is a rhombus, therefore;

The diagonals of a rhombus perpendicular

Adjacent angles are supplementary

The opposite angles of a rhombus are congruent

The opposite sides of a rhombus are parallel

Diagonals of a rhombus bisect the interior angles

The above properties indicates that we get;

90° + m∠1 + 26° = 180°

m∠1 = 180° - 26° - 90° = 64°

m∠1 = 64°

m∠4 = 90°

The angle ∠3 and the 26° angle are alternate interior angles. Alternate interior angles between parallel lines are congruent, therefore;

m∠3 = 26°

m∠1 = m∠2 (definition of bisected angle), therefore;

m∠2 = m∠1 = 64°

m∠2 = 64°

∠2 and ∠5 are alternate interior angles, therefore;

∠2 ≅ ∠5

m∠5 = m∠2 = 64°

m∠5 = 64°

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Answer:

b)   a > 4

Step-by-step explanation:

Step(i):-

Given inequality equation

                              2 a + 4 > 12

subtracting ' 4' on both sides , we get

                              2 a + 4 -4 > 12 -4

                               2 a > 8

Step(ii):-

dividing '2' on both sides , we get

                             \(\frac{2a}{2} > \frac{8}{4}\)

                             a > 4

Answer:

B

Step-by-step explanation:

Got it right

Answer:

39 3/8 ft ^2

Step-by-step explanation:

To find the area of a rectangle, multiply the length times the width.

A = l*w

  = 7 1/2  * 5 1/4

Change the mixed numbers to improper fractions.

A = 15/2 * 21/4

    =315/8

Change back to a mixed number.

8 goes into 315 39 times with 3 left over.

 = 39 3/8

Answer:

(you can round to 39.4)

Step-by-step explanation:

Find the area of the rectangle shown

7 1/2 ft

5 1/4ft

7 1/2 = 7.5 ft

5 1/4 = 5.25 ft

Area = L x W

Area = 7.5 x 5.25

Area = 39.375

Answer:

A: 12.5

B: 36

C: 40

D: 88

Step-by-step explanation:

those are the answers

The function represents f ( x ) is f ( x ) = 32 ( 3x - 1 )

Given :

The table represents some points on the graph of linear function f.

Table :

x        -2         1        5       10

f ( x ) -224   64     448   928

take two points ( 5 , 448 ) and ( 1 , 64 )

slope m = 64 - ( 448 ) / 1 - ( 5 )

= 64 - 448 / 1 - 5

= -384 / -4

= 384 / 4

= 192 / 2

= 96

( 1 , 64 ) on

y -  64 = 96 ( x - 1 )

y - 64 = 96x - 96

y = 96x - 96 + 64

y = 96x - 32

take 32 as common

= 32 ( 3x - 1 )

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