What is 8 x 8 x 8 in exponential form

Let's simplify the function

\(\\ \sf\longmapsto g(x)=2x-1+3\)

\(\\ \sf\longmapsto g(x)=2x+2\)

Graph attached

Step-by-step explanation:

Let's simplify the function

g(x)= 2x-1+3

g(x)= 2x+2

See in graph

The predetermined overhead rate is the estimated manufacturing overhead cost per unit of a specific allocation base.

In the options, there are four different rates:

1. $10.00 / MH (MH stands for machine hour): This means that the estimated manufacturing overhead cost per machine hour is $10.00.

2. $17.50 / MH: This indicates that the estimated manufacturing overhead cost per machine hour is $17.50.

3. $20.00 / MH: This implies that the estimated manufacturing overhead cost per machine hour is $20.00.

4. $32.86 / MH: This shows that the estimated manufacturing overhead cost per machine hour is $32.86.

Each rate represents the estimated cost of manufacturing overhead per unit of the allocation base (machine hour) and is used to allocate overhead costs to products or services based on their usage of the allocation base.

The specific rate chosen depends on the nature of the business, its cost structure, and the accuracy of the estimated overhead costs.

The correct question is ''What is the predetermined overhead rate?\(\( \$ 10.00 / \mathrm{MH} \) \( \$ 17.50 / \mathrm{MH} \) \( \$ 20.00 \) / MH \( \$ 32.86 / \mathrm{MH} \)\).''

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The price vectors a. p₁ = 3 and p₂ = 2, Mary will consume only good 1.

Here we have the Utility function as

U(x₁ , x₂) = 3x₁ + x₂

From the given utility function we can clearly see that these goods are substitutes for each other

Now,

δU/δx₁ = 3

δU/δx₂ = 1

Hence we get the Marginal Rate of Substitution or MRS

\(=- \frac{\delta U/ \delta x_1 }{\delta U/ \delta x_2}\)

= -3

The MRS signifies that for every additional unit of 1, Mary is willing to give up 3 units of good 2

|MRS| = 3

For Mary to only consume good 1, |MRS| > p₁/p₂

Hence here we get the p/p ratio for the 4 price vectors to be

a. 3/2 = 1.5

b. 10/3 = 3.33

c. 4

d. 15.4 = 3.75

Hence we can clearly say that for the price vectors p₁ = 3 and p₂ = 2, Mary will consume only good 1.

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Answer:

26 roses

Step-by-step explanation:

89-11 = 78

78/3 = 26

Answer:

The answer is 95

Answer:

95

Step-by-step explanation:

Answer:

9.75

Step-by-step explanation:

10-0.25=9.75

The distance R from A and the bearing of R from A​ 15 km and 189° respectively.

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

Given that, a village R is 10 km from a point P on a bearing 25° from P. Another village A is 6 km from P on a bearing 162°.

We need to calculate, the distance R from A and the bearing of R from A​

We will use the Cosine Rule to determine the distance of R from A (p);

From Cosine Rule;

b² = a² + c²– 2ac Cos B

p² = a² + r² – 2ar Cos P

a= 10 km

Cos P = Cos 137

r = 6 km

p = ?

p² = a² + r² – 2ar Cos P

p² = 10² + 6² - 2 (10) (6) Cos 1370

p² = 100 + 36 – 120 (- 0.7314)

p² = 136 + 87.76

p² = 223.76

p = 14.95 = 15 km (approximated to the nearest km)

To find the bearing of the R from A,

we will apply Sine Rule;

From Sine Rule;

15Sin Ø = 10Sin 137 = 6.82

Sin Ø = 6.82/15 = 0.4547

Ø = ArcSin 0.4547 = 27°

Therefore, the bearing of R from A will be

∠ PRA = 180 – 137 – 27 = 160

The alternating angle to 25° at R is 65°

Then, the bearing of R from A = 270 -65-16 = 189°

Hence, the distance R from A and the bearing of R from A​ 15 km and 189° respectively.

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The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.

A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.

The range refers to all potential values of y, and the domain refers to all conceivable values of x.

The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.

Thus, the given statement is false.

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Answer:

\(y = 6x + 9\)

Step-by-step explanation:

\( - 3 = 6( - 2) + b\)

\( - 3 = - 12 + b\)

\(b = 9\)

\(y = 6x + 9\)

The approximation for 4.84 by using linear approximation, i.e., the tangent line, is 717.2.

We must use linear approximation, i.e., the tangent line, to approximate 4.84 as follows:

Let f(x) = x^4.

The equation of the tangent line to f(x) at x = 5 can be written in the form y = mx + b where m is:

m = f'(x) and where b is:

b = f(x) - m(x)

Using this, we find our approximation for 4.84 is:

We can find the equation of the tangent line to f(x) at x = 5 by finding the slope and the y-intercept.

Slope:

m = f'(x) = 4x³ at x = 5, then

m = 4(5)³ = 500Y-intercept:

b = f(x) - mx

= f(5) - m(5)

= 5⁴ - 500(5

)Thus, the equation of the tangent line is y = 500x - 9375.

Using this, we can approximate 4.84 as follows:

f(4.84) ≈ 500(4.84) - 9375

≈ 500(4.84) - 9375f(4.84)

≈ 717.2

Therefore, the approximation for 4.84 using linear approximation, i.e., the tangent line, is 717.2.

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Answer:

116

Step-by-step explanation:

Just took test

Answer:

116 brotha

Step-by-step explanation:

Answer:

22.33%

Step-by-step explanation:

Part a: The volume of such base would appear to be larger than it was if the bubble was already let go before the titration's equivalence point.

Part b: There would be no impact if the bubble had already been let go after the equivalent point.

For the stated condition-

An air bubble was present in the buret tip as the student started his part II titration. Unnoticed bubble release occurred at some point in the titration.

The inaccuracy in his titration findings that the bubble would've have made if:

Part a: If the bubble had burst before the titration's equivalence point, the base's volume would have appeared larger than it originally was, having the base seem stronger than it is, and changing calculations.

Part b: There would be no impact if the bubble had already been let go after the equivalent point.

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Answer:

Radius of sphere = 3 feet

Step-by-step explanation:

The volume of sphere is 36 π ft³.

We need to find the radius of sphere.

The formula used is: \(Volume\:of\:sphere=\frac{4}{3}\pi r^3\)

Putting value of volume and finding radius

\(Volume\:of\:sphere=\frac{4}{3}\pi r^3\\36\pi =\frac{4}{3}\pi r^3\\r^3=36 \pi \times \frac{3}{4\pi} \\r^3=9 \times 3\\r^3=27\\Taking\:cube\;root\:on \:both\:sides\\\sqrt[3]{r^3}=\sqrt[3]{27}\\r=3\)

So, Radius of sphere = 3 feet

One if the functions of a protein macromolecule is: c. moving material in and out of cells

Proteins can be described as a complex macromolecules that are responsible for several key functions such as the regulation of cells, tissue, and organs of living organisms including their structure.

Proteins also help in performing the following:

Regulation of gene expression

Structural support, and

Many other cellular processes.

Therefore, a function of a protein macromolecule is: c. moving material in and out of cells.

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Answer:

B. 84 deg

Step-by-step explanation:

Sides DE and FE are congruent since they both have the same length.

That makes angles D and F congruent.

m<D = m<F = 48

The sum of the measures of the angles of a triangle equals 180 deg.

m<E + m<D + m<F = 180

m<E + 48 + 48 = 180

m<E = 84

The probability that they are the 4 oldest people in the group = 4/9

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

the group of people = 9

you randomly select 4 of them

the probability that they are the 4 oldest people in the group?

According to the formula :

Probability = expected number of outcome/Total number of outcome

If there are group of 9 people, then the total outcome of events will be 9.

If we are to select 4 oldest people from the group, then the expected outcome is 4.

So,

The probability that they are the 4 oldest people in the group = 4/9

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Answer:

its D

Step-by-step explanation:

\(1 + 1 = 2 \\ \)

Answer:

A. The total number of hours it takes to make dresses and skirts each month

Step-by-step explanation:

By multiplying the amount of time to make an item by the amount of items made, you get the total amount of time spent on making those items. Therefore the total time spent making dresses is 8x, and the total time spent making skirts is 3y, which means that the total time to make both is 8x+3y.

On a sequence diagram, a message does represent a service request. A sequence diagram is a type of interaction diagram in Unified Modeling Language (UML) .So the answer to your Question is True.

UML illustrates the interactions between objects or components within a system over a specific period of time. It visualizes the flow of messages between objects to depict the order of and the timing of these interactions. In a sequence diagram, messages are used to represent communication between objects. Messages can be synchronous, where the sender waits for a response before proceeding, or asynchronous, where the sender does not wait for a response. In the context of a service-oriented architecture, a message can represent a service request being sent from one object or component to another. By using messages to represent service requests, sequence diagrams provide a clear and visual representation of the interactions and flow of information within a system. They help in understanding the sequence of steps involved in a process and the dependencies between different components or objects.

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The main difference between everyday logic and mathematical logic is that everyday logic is based on general observations and opinions, while mathematical logic is based on precise statements and facts.

Differences:
- Everyday logic is based on common sense and intuition, while mathematical logic is based on strict rules and formulas.
- Everyday logic is often used to make decisions or solve problems in daily life, while mathematical logic is used to solve complex mathematical problems.
- Everyday logic can be subjective and influenced by personal beliefs or experiences, while mathematical logic is objective and follows a set of universally accepted principles.

Similarities:
- Both everyday logic and mathematical logic use reasoning to draw conclusions.
- Both everyday logic and mathematical logic rely on evidence and facts to support their conclusions.
- Both everyday logic and mathematical logic can be used to solve problems and make decisions.

In conclusion, while everyday logic and mathematical logic have some similarities in terms of their use of reasoning and evidence, they differ in their approach and application. Everyday logic is based on common sense and intuition, while mathematical logic is based on strict rules and formulas.

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The probability of getting at least an Ace, King, Queen, Jack, and 10 in a 13-card hand from a standard 52-card deck is approximately 0.740 or 74.0%.

To calculate the probability of getting at least an Ace, King, Queen, Jack, and 10 in a 13-card hand from a standard 52-card deck, we can use the principle of inclusion-exclusion.

There are C(52,13) ways to choose a 13-card hand from the 52 cards in the deck.

The number of ways to choose a hand that does not contain any of the desired cards is:

C(48,13)

Therefore, the number of ways to choose a hand that contains at least one of the desired cards is:

C(52,13) - C(48,13)

The probability of getting at least one of the desired cards can be calculated by dividing this number by the total number of possible hands:

P(at least one of the desired cards) = \($\frac{{52\choose 13}-{48\choose 13}}{{52\choose 13}}$\)

\($1 - \frac{{48\choose 13}}{{52\choose 13}}$\)

= 1 - 0.260

= 0.740

The probability of getting at least one of the desired cards is quite high, as it is more likely than not that a 13-card hand will contain at least one of these five cards.

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Answer:

√−100 = 0 + 10i

Step-by-step explanation:

i is equal to the square root of -1

change sqrt(-100) to sqrt(-1) * sqrt(100)

i * 10

10i

The random variable X: volume of shampoo uniformly distributed between 374 and 380 milliliters.

Distribution of X: X ~ U(374, 380).

Mean and variance of X: Mean = 377 milliliters, Variance = 2 milliliters squared.

In this scenario, the random variable X represents the volume of shampoo filled into a container. The volume is uniformly distributed between 374 and 380 milliliters, denoted as X ~ U(374, 380). This means that any value within this range has an equal likelihood of being chosen.

To calculate the mean of X, we take the average of the lower and upper limits of the distribution: (374 + 380) / 2 = 377 milliliters. The mean represents the expected value or the average value of the volume of shampoo in the containers.

The variance of X is a measure of the spread or variability of the distribution. For a uniform distribution, the variance can be calculated using the formula ((b - a)² / 12), where 'a' and 'b' are the lower and upper limits of the distribution, respectively. In this case, the variance is ((380 - 374)² / 12) = 2 milliliters squared. The square root of the variance gives us the standard deviation, which is the measure of the dispersion of the values around the mean.

To find the probability that a randomly chosen shampoo container has a volume greater than 375 milliliters, we use the cumulative distribution function (CDF) of the uniform distribution. Since the distribution is uniform, the probability is given by (380 - 375) / (380 - 374) = 0.1667, which means there is a 16.67% chance that the volume exceeds 375 milliliters.

uniform distribution and its properties.

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Answer:

Katie recorded a total of 4 + 3 + 6 + 1 + 8 = 22 dogs over the first 5 days. If the same number of dogs turned up each day for the next 3 weeks, then she would have seen the same number of dogs per day for an additional 21 days (3 weeks * 7 days/week = 21 days). So in total, over the 3 weeks, she would have seen 22 dogs/day * 21 days = 462 dogs.

Step-by-step explanation:

Answer:

Step-by-step explanation:

false

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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Answer:

the answer would be 64

Step-by-step explanation:

you would need to make a sample space and when you test them you will have 64 outcomes