Given f(x)=x-7 and g(x)=x^2
Find g(f(-1))
Find f(g(-1))
With explanation

Answer:

33/90 is the answer

Step-by-step explanation:

exactly what you have there is the procedure

Answer:

C and A

Step-by-step explanation:

So first, off, to find the length of a line, we can use pythagreons theorm.(A^2+B^2=C^2) The cahnge in x squared and the change in y squared will give us C, which is the line length. You can count the tiles like this:

From the bottom point, lets count up the x coordinates till we hit the x coordinates of the top point. I got 3.

Next is the y coordinates.

When I count up until I reach the top point, I get 7. Lets plug these numbers in:

3^2+7^2=C^2

Use the square root on eahc number except for the unknown(C)

=

9+49=c^2

Add the two numbers together:

=

58=c^2

Take square root:

7.61=c^2

This can just be rounded to 7.6

This looks like C

So that is your first answer.

Next we have a table.

We need to look at the section of people that have both brown hair and eyes.

When I look at the table, I see 30 people whom how both these charcteristics.

When you looka the total people in the bottom right corner, you see that there are 120 people.

We do not even need to calculate percentage.

30 is 1/4 of 120.

What is 1/4 of 100%

25%

So the people with both brown eye/hair color is 25%

THis looks like answer A

I hope this helps! :)

Step-by-step explanation:

\( \underline{ \underline{ \text{Solving \: a \: quadratic \: equation \: by \: factorisation \: method}}} : \)

In this method , the second order of polynomial ax² + bx + c is factorised and expressed as the product of two linear factors. Then each linear factor is separately solved to get the required solutions of the equation by applying zero factor property. In zero factor property , if p•q = 0 , then either p = 0 or q = 0 . In other words , if the product of two numbers is 0 , then one or both of the numbers must be 0.

\( \underline{ \underline{ \text{Let's \: solve}}} : \)

\( \tt{ {x}^{2} + 16x + 55 = 0}\)

Here , we have to find the two numbers that multiplies to 55 and adds to 16.

⤑ \( \tt{ {x}^{2} + (11 + 5)x + 55 = 0}\)

⤑ \( \tt{ {x}^{2} + 11x + 5x + 55 = 0}\)

⤑ \( \tt{x(x + 11) + 5(x + 11) = 0}\)

⤑ \( \tt{(x + 5)(x + 11) = 0}\)

Either :

\( \tt{x + 5 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: Or : \: \: x + 11 = 0}\)

\( \sf{⟶ x = 0 - 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:⟶ x = 0 - 11\)

\( \tt{⟶x = - 5 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:⟶ x = - 11\)

\( \red{ \boxed{ \boxed{ { \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{x = - 5 \: , - 11}}}}}}}}}\)

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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By using Python, you will come up with your own challenging algorithm for other students to trace.

If a certain is true, the if/else expression triggers a sequence of instructions to run. Another piece of code may be run if the condition is false.

The if/else statement is a component of Python's "Conditional" Statements, which are used to carry out various operations based on various circumstances.

These conditional statements are available in Python:

If you want a block of code to run only if a certain condition is true, use the if statement.

If the same expression is false, use instead that to provide a set of instructions that should be run.

If the first expression is false, can use else if sentence to establish a comprehensive criterion to test.

To choose which of the several program code should be performed, use the switch.

How to write the code?

num = 100

if num < 20:

print('Less than 20')

if num < 30:

print('Less than 30')

if num < 40:

print('Less than 40')

if num < 50:

print('Less than 50')

if num > 100 or num == 100:

print('More than or equal to 100')

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The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.

To solve for the predicted number of runs, we can use the following steps:

Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

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The text discusses a production function and addresses various aspects of a firm's decision-making. It covers profit maximization, factor demand functions, supply function, profit function, Hotelling's lemma, cost minimization, conditional factor demand functions, and the cost function. These concepts are derived using mathematical calculations and formulas. Hotelling's lemma is verified, and the cost function is determined.

(a) The firm's profit maximization problem can be stated as follows: Maximize profits (π) by choosing the optimal levels of inputs (z and zo) that maximize the output (y) given the prices of output (p) and inputs (w, w₂).

(b) To derive the firm's factor demand functions, we need to find the conditions that maximize profits.

The first-order condition for input z is given by:

∂π/∂z = p * (∂f/∂z) - w = 0

Substituting the production function f(z) = z^(1/4) / z^(1/2) into the above equation, we have:

p * (1/4 * z^(-3/4) / z^(1/2)) - w = 0

Simplifying, we get:

p * (1/4 * z^(-7/4)) - w = 0

Solving for z, we find:

z = (4w/p)^(4/7)

Similarly, for input zo, the first-order condition is:

∂π/∂zo = p * (∂f/∂zo) - w₂ = 0

Substituting the production function f(zo) = z^(1/4) / z^(1/2) into the above equation, we have:

p * (1/2 * z^(1/4) * zo^(-3/2)) - w₂ = 0

Simplifying, we get:

p * (1/2 * z^(1/4) * zo^(-3/2)) - w₂ = 0

Solving for zo, we find:

zo = (2w₂ / (pz^(1/4)))^(2/3)

(c) To derive the firm's supply function, we need to find the level of output (y) that maximizes profits.

Using the production function f(z), we can express y as a function of z:

y = z^(1/4) / z^(1/2)

Given the factor demand functions for z and zo, we can substitute them into the production function to obtain the supply function for y:

y = (4w/p)^(4/7)^(1/4) / (4w/p)^(4/7)^(1/2)

Simplifying, we get:

y = (4w/p)^(1/7)

(d) The firm's profit function is given by:

π = p * y - w * z - w₂ * zo

Substituting the expressions for y, z, and zo derived earlier, we have:

π = p * ((4w/p)^(1/7)) - w * ((4w/p)^(4/7)) - w₂ * ((2w₂ / (pz^(1/4)))^(2/3))

(e) To verify Hotelling's lemma, we need to calculate the partial derivatives of the profit function with respect to the prices of output (p), input z (z₁), and input zo (z₂).

Hotelling's lemma states that the partial derivatives of the profit function with respect to the prices are equal to the respective factor demands:

∂π/∂p = y - z * (∂y/∂z) - zo * (∂y/∂zo) = 0

∂π/∂z₁ = -w + p * (∂y/∂z₁) = 0

∂π/∂z₂ = -w₂ + p * (∂y/∂z₂) = 0

By calculating these partial derivatives and equating them to zero, we can verify Hotelling's lemma.

(f) The firm's cost minimization problem can be stated as follows: Minimize the cost of production (C) given the level of output (y), prices of inputs (w, w₂), and factor demand functions for inputs (z, zo).

(g) To derive the firm's conditional factor demand functions, we need to find the conditions that minimize costs. We can express the cost function as follows:

C = w * z + w₂ * zo

Taking the derivative of the cost function with respect to z and setting it to zero, we get:

∂C/∂z = w - p * (∂y/∂z) = 0

Simplifying, we have:

w = p * (1/4 * z^(-3/4) / z^(1/2))

Solving for z, we find the conditional factor demand for z.

Similarly, taking the derivative of the cost function with respect to zo and setting it to zero, we get:

∂C/∂zo = w₂ - p * (∂y/∂zo) = 0

Simplifying, we have:

w₂ = p * (1/2 * z^(1/4) * zo^(-3/2))

Solving for zo, we find the conditional factor demand for zo.

(h) The firm's cost function is given by:

C = w * z + w₂ * zo

Substituting the expressions for z and zo derived earlier, we have:

C = w * ((4w/p)^(4/7)) + w₂ * ((2w₂ / (pz^(1/4)))^(2/3))

This represents the firm's cost function.

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Answer:

16 ft

Step-by-step explanation:

Because h = √20² - (24/2)² = √400-144 = √256 = 16

hope this is helpful!

Answer:

Real interest rate= 3%

Step-by-step explanation:

Giving the following information:

Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. The inflation rate is 5 percent.

The effect of the inflation rate on the interest rate is counterproductive. The inflation rate diminishes purchasing power.

Real interest rate= nominal interest rate - inflation rate

Real interest rate= 0.08 - 0.05= 0.03

3w+2n-8w+3 I think but don't get me wrong

Answer:

\((7 + 5) + 1 = 12 + 1 = 13 \\ 7 + (5 + 1) = 7 + 6 = 13 \\ here \: we \: use \: assosiative \: \: property \\ of \: addition\\ option (b) \\ \: thank \: you\)

Answer:

(7+5)+1 equals 12+1 which equals 13 7+(5+1) equals7+6 which equals to 13

Step-by-step explanation:

b: associative property of addition

The correct answer is c. hypothesized population proportion. In tests about a population proportion, p0 (pronounced as "p-naught") represents the hypothesized population proportion.

Which is the proportion of individuals in the population who possess a particular characteristic or exhibit a particular behavior. The hypothesized population proportion is typically derived from prior knowledge or information about the population or based on theoretical considerations.

It is used as a reference value to compare against the sample proportion (phat) to determine whether there is evidence of a statistically significant difference between the sample and population proportions.

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Answer: h(3)= -4 h(-3)=-16

Step-by-step explanation:

Plug in 3 and -3 for x and solve

h(3)= 2(3)-10

h(-3)= 2(-3)-10

The range of values for the third side must be 5 < C < 13 this means that the third side must be a value greater than 5 and less than 13.

What is triangle?

A triangle is a two-dimensional geometric shape with three sides and three angles. It is a basic polygon and one of the simplest shapes in geometry. Triangles come in different types based on the length of their sides or the measure of their angles, such as equilateral triangles (all sides are equal), isosceles triangles (two sides are equal), scalene triangles (no sides are equal), right triangles (one angle measures 90 degrees), and obtuse triangles (one angle measures greater than 90 degrees).

The third side of a triangle must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In other words, for a triangle with sides A, B, and C, we have:

                                    A + B > C

                                    B + C > A

                                    A + C > B

For the given sides of 8 and 5, the range of values for the third side can be found by considering the two inequalities:

                                    5 + C > 8

                                     8 + C > 5

Adding the two inequalities, we get:

                        13 > C

So the range of values for the third side must be:

                         5 < C < 13

This means that the third side must be a value greater than 5 and less than 13.

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Answer: The answer is provided below

Step-by-step explanation:

A price markdown is a reduction that is deliberate when selling a product. From the question, we are informed that a video game that usually costs $30.65 is marked down 60%.

The find the new price of the video game, we have to subtract the amount reduced from the original price. The amount reduced is:

= 60% of $30.65

= 60/100 × $30.65

= 0.6 × $30.65

= $18.39

The new selling price = $30.65 - $18.39

= $12.26

The error that Kelvin made when he determined that the new price of the game would be $18.39 was that he didn't subtract the value from the original price of the video game.

Prochlorperazine is a dopamine receptor antagonist that is commonly used as an antiemetic to treat nausea and vomiting caused by various conditions.

The prototype antiemetic is a medication called prochlorperazine. Prochlorperazine belongs to a class of drugs known as phenothiazines, which are known to have antiemetic properties. It is commonly used to treat nausea and vomiting caused by various conditions, including motion sickness, chemotherapy, and postoperative nausea and vomiting. While prochlorperazine is often considered the prototype antiemetic, there are many other medications that can also be effective in treating nausea and vomiting, including ondansetron, metoclopramide, and promethazine, among others. The choice of antiemetic medication will depend on the underlying cause of the nausea and vomiting, as well as other individual patient factors.

Prochlorperazine works by blocking dopamine receptors in the brain, which can help to reduce nausea and vomiting. It is available in several forms, including tablets, suppositories, and injections, and can be prescribed by a healthcare provider.

The prototype antiemetic is dopamine antagonist, which works by blocking dopamine receptors in the brain. This reduces the activity of the chemoreceptor trigger zone (CTZ), which in turn reduces the signals sent to the vomiting center in the medulla oblongata, ultimately resulting in decreased nausea and vomiting. The chemical equation for this interaction can be represented as:

Dopamine antagonist + Dopamine receptor → Blocked dopamine receptor

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Answer:

36. \(\frac{a^{7} }{b^{8} }\)  | 37. 1 ( anything raise to 0 equal 1 ) | 38. \(g^{4}\)

Step-by-step explanation: Just flip the exponent degree to negative when you move it down and positive when you move it up. You will be able to solve the rest. :)

Answer:

I and H

Step-by-step explanation:

Answer:

399.420

Step-by-step explanation:

1) Use the algorithm method.

4 7 . 5 5

×     8 . 4

1 3  2 2

1 9 . 0 2 0

3 6 4  4  

3 8 0 . 4 0 0

3 9 9 . 4 2 0

2) Therefore, \(47.55\times 8.4=399.420\).

399.420

The object distance is 0, which implies that the object is at the focus of the concave mirror.

For a concave mirror, the magnification is given by the formula:

m = -di/do

where m is the magnification, di is the image distance, and do is the object distance. Since we are given that the magnification is -2.0, we can write:

-2.0 = -di/do

Simplifying this expression, we get:

di = 2do

We can also use the mirror formula for a concave mirror:

1/f = 1/do + 1/di

where f is the focal length of the mirror. Substituting di = 2do and f = -16 cm (since the mirror is concave), we get:

1/-16 = 1/do + 1/(2do)

Multiplying both sides by -16do, we get:

do - 2f = -32

Substituting f = -16 cm, we get:

do - (-32) = -32 + 32

do = 0

This means that the object distance is 0, which implies that the object is at the focus of the concave mirror. This is a valid result, since a concave mirror can form a real, inverted image for an object placed at a distance equal to its focal length. In this case, the magnification would be -1, not -2. So, it is not possible to have a magnification of -2 for an object distance in front of a concave mirror with a focal length of 16 cm.

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In a right triangle, if the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments, the length of the altitude is the geometric mean of the lengths of the two segments.

According to this

Which is the fourth option.

Answer:

1/3 the rectangle was dilated by a factor of 1/3

Step-by-step explanation:

9/3 = 3 and 6/3= 2

Answer:

1/3 the rectangle was dilated by a factor of 1/3

Step-by-step explanation:

9/3 = 3 and 6/3= 2

Answer:

your very welcome and if u need help on anyrhing i will be glad to take a look at it.

Step-by-step explanation:

Answer:

239 miles per gallon for a round trip.

Step-by-step explanation:

you'd need to achieve 238,900 / 2000 = 119.5 miles per gallon for a one way trip,

Answer:

PT = 13

Step-by-step explanation:

First we need to find the value of x

4x + 1 = 6x - 5  Subtract 4x from both sides

4x - 4x +1 = 6x -4x -5

1 = 2x - 5  Add 5 to both sides

1 + 5 = 2x - 5 + 5

6 = 2x  Divide both sides by 2

3 = x

Now Find PT

4x  + 1

4(3) + 1

12 + 1

13

a) Height = 62.14112783 + 2.05671274 * Diameter at breast height + 15.64180216 * Bark thickness.

b) The slopes indicate the impact of diameter at breast height and bark thickness on tree height.

c) The model is significant (p < 0.05) with a high R Square (0.78578312), indicating good predictability of height based on variables.

a) The different relapse condition can be expressed as:

Level = 62.14112783 + 2.05671274 * Width at bosom level + 15.64180216 * Bark thickness

b) The two slants in the situation address the connection between the level of a California redwood tree and the width at bosom level (DBH) and the bark thickness.

The slant for the distance across at bosom level (DBH) is 2.05671274. This shows that for each unit expansion in the DBH of a tree, the anticipated level of the tree increments by roughly 2.06 units, it are held consistent to expect any remaining factors.

The slant for bark thickness is 15.64180216. This proposes that for each unit expansion in the bark thickness of a tree, the anticipated level of the tree increments by roughly 15.64 units, expecting any remaining factors continue as before.

c) The discoveries show that the various relapse model is genuinely huge in foreseeing the level of California redwood trees.

The p-values for both the breadth at bosom level and bark thickness are not exactly the customary edge of 0.05, showing that the two factors have a critical relationship with the level of the trees.

The F-measurement (33.01349577) is likewise critical with an exceptionally low p-esteem (9.50E-07), showing that the general model is ideal for the information.

The coefficient of assurance (R Square) is 0.78578312, demonstrating that around 78.6% of the changeability in the level of the redwood trees can be made sense of by the relapse model.

The changed R Square (0.761981244) represents the quantity of indicators and changes the R Square worth as needs be.

The standard blunder (22.59816752) addresses the typical distance between the noticed qualities and the anticipated qualities by the model.

In outline, the outcomes propose that both width at bosom level and bark thickness are significant elements in assessing the level of California redwood trees. The model by and large shows a solid match and gives important bits of knowledge into foreseeing tree level in light of these factors.

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Answer:

2 1/2

Step-by-step explanation:

5/8 ÷ 1/4

5/8 x 4/1

SIMPLIFY (if you want; if you dont, you can always multiply like normal but i find this way easier)

5/2 x 1/1 = 5/2 = 2 1/2

Answer:

Fourth choice, 19/30

Step-by-step explanation:

Add 38 and 22 together, it's 60

Out of 60 times, he flipped heads 38 times, so it's 38/60

Simplify 38/60 with 2, 19/30