Are f and g inverses of each other?

Answer:

3m 95cm

Step-by-step explanation:

its... simple math? i added 2 and 1; and 30 and 65?

The correct answer:

is:

-3

Answer:

○ B. \(\displaystyle 186\:square\:units\)

Explanation:

All edges conjoin to form right angles, therefore you have these:

\(\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7\)

OR

\(\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11\)

I am joyous to assist you at any time.

Step-by-step explanation:

A. To find the profit-maximizing level of price and output, we need to find the equilibrium point where the marginal revenue equals marginal cost.

The marginal cost of production is the derivative of the total cost function: MC = dC/dQ = 3.

The marginal revenue is the derivative of the inverse demand function: MR = dP/dQ = -1.

So at the profit-maximizing level of output, MC = MR.

3 = -1

Q = 6

Then we can substitute Q = 6 back into the inverse demand function to find the price:

P (Q) = 12 - Q

P (6) = 12 - 6

P = 6

So the profit-maximizing level of output is 6 units at a price of $6.

B. To find the maximum profit of the firm, we need to calculate the total revenue and the total cost at the profit-maximizing level of output.

The total revenue is the product of the price and the quantity:

TR = P * Q

TR = 6 * 6

TR = 36

The total cost is given by the total cost function:

TC = C (Q)

TC = 3 * Q

TC = 3 * 6

TC = 18

So the maximum profit is the difference between the total revenue and the total cost:

Profit = TR - TC

Profit = 36 - 18

Profit = 18

The maximum profit of the firm is $18 at an equilibrium price level of $6 and an output level of 6 units.

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

4 2/6 = 3 8/6

Step-by-step explanation:

Convert the given mixed fractions to improper fractions.

( 4 × 6 ) + 2 ) / 6 = 26/6

( 3 × 6 ) + 8 ) / 6 = 26/6

Therefore, these are equivalent.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Explanation

The formula for the equation of a circle is

where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

From our graph, we see that our center is

The radius which is the distance between the center and any point on the circumference can be measured as 3 units.

Therefore, by inserting the parameters into the formula, we will have;

Answer:

Answer:

60.25≈60.3°

Step-by-step explanation:

tanФ=14/8=1.75

Ф=arctan=1.75

tan-1  

60.25≈60.3

1- Length of PQ: 233

2-Area of rectangle: 21840

3- Length of RS: 241.87

4-Area of triangle: 12600

to find the lengths of RS and PQ use the pythagorean theorem \(a^{2} +b^{2}= c^{2}\)

to find area of triangle use \(A= \frac{BxH}{2}\) (area = base times height divided by 2)

to find area of rectangle use\(A= LxW\) (area= length times width

Answer:

i really need to ask my q thnak you

Step-by-step explanation:

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

Answer:

  x ≥ 5

Step-by-step explanation:

You want the domain of the equation y = √(x -5) -1.

The domain of the function is the set of x-values for which it is defined. The square root is not defined for negative values, so the domain is ...

  x -5 ≥ 0

  x ≥ 5 . . . . . . the domain of this function

__

Additional comment

The range is the set of y-values the function may produce. Here, that set of values is y ≥ -1.

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Answer:

8 hours

Step-by-step explanation:

pretty sure

6 hours is in half and 10 hours is in half add it up and you get 8?

x=5

steps

they are vertical angles

they are equal

4x+90=110

4x=20

x=5

Answer:

Step-by-step explanation:

9900

The total number of coins that were in Kay's bank are 137 coins.

In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Since she has 11 less dimes than nickels, an equation which models this situation is given by;

n = d + 11     ....equation 1.

Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.

Additionally, the coins are worth 10 dollars;

0.1d + 0.05n = 10 ....equation 2.

By solving both equations simultaneously, we have:

0.1d + 0.05(d + 11) = 10

0.1d + 0.05d + 0.55 = 10

0.15d = 9.45

d = 63 dimes.

For nickels, we have:

n = d + 11

n = 63 + 11

n = 74

Now, we can determine the total number of coins;

Total number of coins = n + d

Total number of coins = 74 + 63

Total number of coins = 137 coins.

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Answer: 27 x 1/3

Step-by-step explanation: 27/1 x 1/3 = 9 orchards per store

The number of orchards in each store will be 27 x (1/3). Then the correct option is A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

John manages 27 apple orchards in North Georgia. He wants to split the orchards into thirds so that he can open 3 local stores.

Then the number of orchards in each store will be

⇒ 27 / 3

Then the expression can be written as,

⇒ 27 x (1/3)

The number of orchards in each store will be 27 x (1/3). Then the correct option is A.

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Answer:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6∶8 and the ratio of oranges to the total amount of fruit is 8∶14.

Step-by-step explanation:

the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

The amount of money increases by $125,000 due to the decrease in the reserve rate. The correct answer is B. It increases the amount by $125,000.

When the Federal Reserve decreases the reserve rate, it allows banks to hold a smaller portion of their deposits as reserves and lend out a larger portion. This change stimulates lending and increases the money supply in the economy through the process of fractional-reserve banking.

In this scenario, the initial deposit of $15,000 can be multiplied by the money multiplier, which is the reciprocal of the reserve rate. Initially, with a reserve rate of 6%, the money multiplier is 1/0.06 = 16.67. Therefore, the initial deposit can lead to a maximum increase in the money supply of $15,000 x 16.67 = $250,050.

When the reserve rate is decreased to 4%, the money multiplier becomes 1/0.04 = 25. Therefore, the same initial deposit of $15,000 can now result in a maximum increase in the money supply of $15,000 x 25 = $375,000.

The difference between the two scenarios is $375,000 - $250,050 = $124,950, which is approximately $125,000. Hence, the amount of money increases by $125,000 due to the decrease in the reserve rate.

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                       SOLVING LEFT-SIDED RIGHT TRIANGLE

Answer:

The value of the missing length of the side x=26 units

Step-by-step explanation:

The Pythagorean theorem states

\(\:a^2\:+\:b^2\:=\:x^2\)

We will use the Pythagorean Theorem to solve for the missing side length.

\(24^2\:+\:10^2\:=\:x^2\)

switch both sides

\(x^2=24^2+10^2\)

\(x^2=576+100\)

\(\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\)

\(x=\sqrt{676},\:x=-\sqrt{676}\)

\(x=26,\:x=-26\)

As x can not be negative.

Therefore, the value of the missing length of the side x=26 units

                          SOLVING LEFT-SIDED RIGHT TRIANGLE

Answer:

The value of the missing length of the side y=15 units

Step-by-step explanation:

Considering the right-sided right triangle

The Pythagorean theorem states

\(a^2\:+\:b^2\:=\:c2\)

We will use the Pythagorean Theorem to solve for the missing side length.

\(15^2\:+\:y^2\:=\:\left(15\sqrt{2}\right)^2\)

\(225+y^2=450\)    ∵ \(\left(15\sqrt{2}\right)^2=450\)

\(y^2=225\)

\(y=\sqrt{225},\:y=-\sqrt{225}\)

\(y=15,\:y=-15\)

As y can not be negative.

Therefore, the value of the missing length of the side y=15 units

Answer:

The answer is A.

Step-by-step explanation:

Recall SohCahToa, which tells us that cosine is the ratio of the adjacent side to the hypotenuse. In other words:

\(\displaystyle \cos(x)=\frac{\text{adjacent}}{\text{hypotenuse}}\)

The adjacent side to ∠C is 10 and the hypotenuse is 26.

Therefore:

\(\displaystyle \cos(C)=\frac{10}{26}=\frac{5}{13}\)

Our answer is A.

Answer:

x=3 y=2 (3,2)

Step-by-step explanation:

200x + 300y = 1200(-1)

100x + 400y = 1100(-2)

-200x - 300y = -1200

200x + 800y = 2200 (x's cancel)

500y = 1000 (divide by 500)

y = 2 (plug in 2 for y in on of the equations) *best to use the easiest equation*

200x + 300y = 1200

200x + 300(2) = 1200

200x + 600 = 1200 (subtract 600 from both sides)

200x = 600 (divide by 200)

x = 3

Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.

A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.

Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.

According to the given information:

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The volume of the of box is derived to be 12 cubic inches, which makes option B correct.

The volume of the box also known as a cuboid can be calculated using the formula:

V = l x w x h

where:

V is the volume of the cuboid

l is the length of the cuboid

w is the width of the cuboid

h is the height of the cuboid

We shall evaluate for the volume of the box as follows:

Volume of the box = 3 in × 2 in × 2 in

Volume of the box = 12 in²

Therefore, the volume of the of box is derived to be 12 cubic inches.

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The volume of the of box is derived to be 12 cubic inches, which makes option B correct.

The volume of the box also known as a cuboid can be calculated using the formula:

V = l x w x h

where:

V is the volume of the cuboid

l is the length of the cuboid

w is the width of the cuboid

h is the height of the cuboid

We shall evaluate for the volume of the box as follows:

Volume of the box = 3 in × 2 in × 2 in

Volume of the box = 12 in²

Therefore, the volume of the of box is derived to be 12 cubic inches.

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7.
We are given:
abcissa(x-coordinate) of given point: -6
let's say the ordinate(y-coordinate) of the given point is y
distance of the given point from (1,3) = √74

we can rewrite the given information as:
the distance between the points (-6,y) and (1,3) is √74

finding y:
we know that in order to find the distance between any two points, we use the distance formula, which goes as follows:
distance = \(\sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}\)

from the data we are given, let's say that:
(x₁, y₁) = (-6, y)
(x₂, y₂) = (1, 3)
(you can use them interchangably, there is no restriction on which point gets to be labelled as 1)

plugging this in the distance formula, we get:
distance  = \(\sqrt{(-6-1)^2 + (y - 3)^2}\)
we are also given that the distance is √74,

√74 = \(\sqrt{(-7)^2 + (y - 3)^2}\)

squaring both sides to get rid of the square root

74 = (-7)² + (y - 3)²
74 = 49 + y² + (3)² -2(y)(3)         (using the "square of sum" identity)
74 = 49 + y² + 9 - 6y
74 = 58 + y² - 6y
y² - 6y + 58 - 74 = 0                   (subtracting 74 from both sides)
y² - 6y - 16 = 0
y² - 8y + 2y - 16 = 0                   (splitting the middle term)
y(y - 8) + 2(y - 8) = 0
(y + 2)(y - 8) = 0
which means that:
y + 2 = 0    ,     y - 8 = 0
y = -2 , y = 8
These are the two possible values of y

8.
We are given:
points A and B
A: (3, y)
B: (6, 2)
distance between A and B = 5 units
finding possible values of y
here, we will use the distance formula again to find the value of y
distance formula: \(\sqrt{(x_a-x_b)^2 + (y_a - y_b)^2}\)
plugging the given values, we get:
5 = \(\sqrt{(3-6)^2 + (y - 2)^2}\)
25 = (3 - 6)² + (y - 2)²              (squaring both sides)
25 = (-3)² + (y - 2)²
25 = 9 + y² + (2)² - 2(y)(2)
25 = 9 + y² + 4 - 4y
y² - 4y + 9 + 4 - 25 = 0            (subtracting 25 from both sides)
y² - 4y - 12 = 0
y² - 6y + 2y - 12 = 0                 (splitting the middle term)
y(y - 6) + 2(y - 6) = 0
(y + 2)(y - 6) = 0

y + 2 = 0   ,    y - 6 = 0
y = - 2  ,   y = 6
These are the two possible values of y

Answer:

y equals 2/3 x plus 4 is correct.

The equation y= 1/3x  + 4 represents a linear function.

A linear function is a function that can be represented by a straight line. The equation of a linear function is typically in the form y = mx + b, where m represents the slope and b represents the y-intercept.

1. 2x − 4 = 6 is a linear equation, but it is not a function because it does not isolate y.

2. x = −2" represents a vertical line with a slope of infinity, but it does not have the form y = mx + b.

3. y = 1/2x² represents a quadratic function because it contains x raised to the power of 2.

4. y= 1/3x  + 4 represents a linear function.

Therefore, the equation y= 1/3x  + 4 represents a linear function.

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Answer: 10

Step-by-step explanation: 8+10+60=78

Answer: 68/7

Step-by-step explanation:

given data:

(3/2) of (4/7) multiplied by [(10x3)-(8x2)]​

first we break it down into smaller sets.

= ( 3/2 ) * (4/7 )

= 6/7 * [(10x3)-(8x2)]​

we open the brackets

=  6/7 * (10x3)-(8x2)

= 6/7 * 30 –16

= 6*30/7 –16

= 180/7 – 16

= 68/7

Answer:

Answer is option  D

Step-by-step explanation:

Hope this helps:)

Answer:

The rule for the translations can be written as T -3,1(x,y).

The rule for translations can be written as (x,y)➡️(x-3,y+1).

Step-by-step explanation:

Answer:

A, and D

Step-by-step explanation:

Took Unit test edge 2022

Answer:

62.5 miles

ithink

Step-by-step explanation: