12 less than 4 times a number is equal to 64

Answer:

360 g

Step-by-step explanation:

Amount of Salt = 2.5% x Amount of Mango

Taking 9 g as the amount of salt :

From the given mappings, we have

\(f(1) = 5, f(4) = 1, f(2) = 7\)

and

\(g(3) = 1, g(5) = 4, g(-6) = 2\)

Then the composition of \(f\) with \(g\), or \(f\circ g\), is

\(\boxed{f\circ g = \{(3,5), (5,1), (-6, 7)\}}\)

since

\(g(3) = 1 \implies (f\circ g)(3) = f(g(3)) = f(1) = 5\)

\(g(5) = 4 \implies (f\circ g)(5) = f(4) = 1\)

\(g(-6) = 2 \implies (f\circ g)(-6) = f(2) = 7\)

Answer:

Step-by-step explanation:

I had this exact question and I figured it out.

the answer is: P(police officer and chooses car)

In order to get this answer I did the P(police officer) X P(choosing car)

It ended up being 36/45 X 15/45. Which is equal to around .2666667.

Now you take the Intersection of police officer and chooses car and you divide it by 45. That value on the chart is 12.

lucky enough, the product of 36/45 and 15/45 is equal to 12/45.

So 0.8 X 0.33 = .26

.26 = .26

Answer:

answer is P(police officer and chooses car)

Step-by-step explanation:

the probability of P(policer officer) and P(choose a car) are independent probabilities ( they are not overlapping probabilities)

Answer:

0.83

Explanation:

Since the probability P(Z > a) = 0.204< 0.5, 'a' must be lying on the right of zero. Draw the graph.

Find P(0 < Z < a).

Find 'a' from the standard normal table.

From the table, P(0 < Z < 0.83) = 0.2967. Thus, 'a' approximately equals 0.83.

Answer:

-0.9

Step-by-step explanation:

First we have to distribute. -1 times t is -1t and -1 times 8 is -8. Now, our equation will look like this: -1t - 8 = -7.1  

Next, we have to carry our -8 to the other side of the euqation. So, we have to plus 8 on both sides. -7.1 plus 8 is 0.9. Now, our equation will look like this,

-1t = 0.9.

Lastly, we have to divide -1 from both sides. 0.9 divided by -1 is -0.9. So therefore, t = -0.9.

The price of one coat is $46.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number. So the percentage actually means a part per 100.

Given that,

a store has 25% off sale on coats.

Discounted price of one coat = $34.50

We have to find the original price of the coat. Let it be x.

x - (25% x) = 34.5

x - 0.25x = 34.5

0.75x = 34.5

x = 46

Hence the original price of the coat is $46.

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Answer:

(4)+9= P+ (13)

Step-by-step explanation:

Since 13=13, we have proven the Associative Property of Addition using the numbers a=P, b=4, and c=9

Answer:

69.08m

Step-by-step explanation:

Circumference of a circle = πd where

d is the diameter of the circle

Given

diameter = 22metres

circumference of the circle = 3.14(22)

circumference of the circle  = 69.08m

Hence the circumference of the circle is 69.08m

Answer:

d i think sorry if im wronge

Step-by-step explanation:

The slope of the line will be negative.

Option D is true.

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The line is shown on the graph.

Two points on the graph are (- 3, 1) and (1 , -3).

Now,

Since, Slope of line with two points (x₁ , y₁) and (x₂, y₂) is defined as;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

Hence, Slope of line with two points (- 3, 1) and (1 , -3) is;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (- 3 - 1) / (1 - (-3))

⇒ m = - 4 / 4

⇒ m = - 1

Thus, The slope of the line will be negative.

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The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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Given the following functions:

To compose then, is basically use the inside function as the argument.

If we call '3x-1' as 'u'

We know the following

And this is our answer.

The sorting algorithms that are not comparison based are counting sort, bucket sort, and radix sort.

Counting sort works by counting the number of occurrences of each element in an array and then using this information to determine the position of each element in the sorted array.

Bucket sort works by dividing the array into a number of smaller arrays, called buckets, and then sorting each of these smaller arrays separately.

Radix sort works by sorting the elements of an array based on the individual digits of each element, starting with the least significant digit and working up to the most significant digit.

These algorithms do not rely on comparisons between elements, which is why they are not considered comparison based.

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Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Karissa measures the width of her book using the metric unit Centimeter(cm).

In this question,

The metric system of measurement is the standard system based on decimal values. The metric system is a system of measurement that uses the meter, litre, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.

To measure smaller or larger quantities, we use units derived from the metric units. It has unit conversions based on the powers of 10. Millimeter (mm), Decimeter (dm), Centimeter (cm), Meter (m), and Kilometer (km) are used to measure how long or wide or tall an object is.

In units of measurement of length or width we use centimeter (cm) to measure. We can use this unit for measuring the length of a box, the width of a book etc.

Hence we can conclude that Karissa measures the width of her book using the metric unit Centimeter(cm).

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Answer:

Step-by-step explanation:

Answer:

it is the third one ~w -> v

Step-by-step explanation:

Definition of an inverse

Answer:

Step-by-step explanation:

for the first row its 28 bc its going down by 4

the second row is -7 bc its going down by 1 each time

i hope it helps!!

have a great day!

Answer:

528

Step-by-step explanation:

Step-by-step explanation:

Since Total workers = Permanent + Temporary workers,

w = 44 + t.

Hence when t = 5, w = 44 + 5 = 49.

132 cm² is the area of the given figure.

To find the area of the figure we need to divide it into two parts such as a rectangle with the dimension of 20 * 6 and a triangle with the dimension of  (10 - 6) * (20 - (8 + 6)).

So,

the height of the triangle = 10 - 6 = 4 cm

the base of the triangle = 20 - (8 + 6) = 20 - 14 = 6 cm

Thus,

the area of the triangle = 1/2 * base * height

= 1/2 * 6 * 4

= 12 square cm

Area of the rectangle = length * width

= 20 * 6

= 120 square cm

Thus, the area of the figure will be = 120 + 12  = 132 square cm.

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The expressions will be:

and

and

The difference between the median of the data, including the possible outlier, and excluding the possible outlier is 2.

The number of lattes sold daily for two coffee shops is shown in the table: Lattes 55 52 50 47 68 48 53 53 Based on the data.

What is the difference between the median of the data, including the possible outlier, and excluding the possible outlier?

The number of lattes sold daily for two coffee shops is shown in the table: Lattes 55 52 50 47 68 48 53 53 Based on the data.

The data set with the outlier is 20, 41, 45, 48, 52, 55, 56, 57; Meaning the median falls in between 48 and 52, which is 50.

Then the data set without the outlier is  41, 45, 48, 52, 55, 56, 57;  Making the median here 52.

Therefore,

The difference between the median of the data, including the possible outlier, and excluding the possible outlier is

= 52 -50 = 2

Hence, The difference between the median of the data, including the possible outlier, and excluding the possible outlier is 2.

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Answer:

y=1x+2

Step-by-step explanation:

so 1x when x equals 2               1 x 2 =2+2 +=4

Answer:

(f ￮ g)(11) = - 1

Step-by-step explanation:

evaluate g(11) then substitute the result obtained into f(x)

g(11) = 11 - 7 = 4 , then

f(4) = \(\sqrt{4}\) - 3 = 2 - 3 = - 1

The equation of the tangent plane to the surface sin(xyz) = x + 2y + 3z at the point (2, -1, 0) is x - 2 = 0.

To find the equation of the tangent plane to the surface sin(xyz) = x + 2y + 3z at the point (2, -1, 0), we first need to calculate the gradient vector of the surface at that point. The gradient vector represents the direction of steepest ascent of the surface.

Differentiating both sides of the equation sin(xyz) = x + 2y + 3z with respect to each variable (x, y, z), we obtain the partial derivatives:

∂/∂x (sin(xyz)) = 1

∂/∂y (sin(xyz)) = 2zcos(xyz)

∂/∂z (sin(xyz)) = 3ycos(xyz)

Substituting the coordinates of the given point (2, -1, 0) into these partial derivatives, we have:

∂/∂x (sin(xyz)) = 1

∂/∂y (sin(xyz)) = 0

∂/∂z (sin(xyz)) = 0

The gradient vector is then given by the coefficients of the partial derivatives:

∇f = (1, 0, 0)

Using the equation of a plane, which is given by the formula Ax + By + Cz = D, we can substitute the coordinates of the point (2, -1, 0) and the components of the gradient vector (∇f) into the equation. This gives us:

1(x - 2) + 0(y + 1) + 0(z - 0) = 0

Simplifying, we find the equation of the tangent plane to be x - 2 = 0.

To find the equation of the tangent plane to the surface sin(xyz) = x + 2y + 3z at the point (2, -1, 0), we need to calculate the gradient vector of the surface at that point.

The gradient vector represents the direction of steepest ascent of the surface and is orthogonal to the tangent plane. It is given by the partial derivatives of the surface equation with respect to each variable (x, y, z).

Differentiating both sides of the equation sin(xyz) = x + 2y + 3z with respect to x, y, and z, we obtain the partial derivatives. The derivative of sin(xyz) with respect to x is 1, with respect to y is 2zcos(xyz), and with respect to z is 3ycos(xyz).

Substituting the coordinates of the given point (2, -1, 0) into these partial derivatives, we find that the partial derivatives at this point are 1, 0, and 0, respectively.

The gradient vector ∇f is then given by the coefficients of these partial derivatives, which yields ∇f = (1, 0, 0).

Using the equation of a plane, which is of the form Ax + By + Cz = D, we substitute the coordinates of the point (2, -1, 0) and the components of the gradient vector (∇f) into the equation. This gives us 1(x - 2) + 0(y + 1) + 0(z - 0) = 0.

Simplifying the equation, we find the equation of the tangent plane to be x - 2 = 0.

Therefore, the equation of the tangent plane to the surface sin(xyz) = x + 2y + 3z at the point (2, -1, 0) is x - 2 = 0.

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The commission of the agent is 196000

From the question, we have the following parameters that can be used in our computation:

Commission percentage = 7%

Earnings = 2.8 million

Using the above as a guide, we have the following:

Commission = 7% * Earnings

Substitute the known values in the above equation, so, we have the following representation

Commission = 7% * 2.8 million

Evaluate

Commission = 196000

Hence, the commission is $196000

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The focus of a vertical parabola equation is at (3, 9).

We have,

To find the focus of a vertical parabola equation in the form of

(x - h)² = 4p (y - k)

The focus is located at the point $(h, k+p)$.

We can first rewrite it in the form (x - 3)² = 16 (y - 5).

This gives us h = 3, k = 5, and 4p = 16, so p =4.

Now,,

The focus is located at the point (3, 5+4) = (3, 9).

Thus,

The focus is at $(3, 9)$.

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Answer:

No

Step-by-step explanation:

It could only represent large colleges, not all colleges.  Sampling requires similar characteristics to represent the entire population of testing.

Answer:

  B, C, D

Step-by-step explanation:

One of the rules of exponents is that an exponent in the numerator is equivalent to the opposite of the same exponent in the denominator. That means ...

  \(4^{-3}=\dfrac{1}{4^3}\qquad\text{matches C.}\)

Another rule of exponents is that an exponent represents repeated multiplication. If a factor can be written using an exponent, the exponents are effectively multiplied.

  \(4^{-3}=(2^2)^{-3}=2^{2(-3)}=2^{-6}\qquad\text{matches B.}\)

Of course, that repeated multiplication can be shown explicitly:

  \(\dfrac{1}{4^3}=\dfrac{1}{4}\cdot\dfrac{1}{4}\cdot\dfrac{1}{4}\qquad\text{matches D.}\)

The equivalent expressions to 4^(-3) are B, C, D.

_____

Additional comment

The expression of G evaluates to ...

  \(\dfrac{8^{-1}}{2^2}=(2^3)^{-1}\cdot2^{-2}=2^{3(-1)-2}=2^{-5}\qquad\text{not equivalent}\)