What is the next term of the following sequence?

12, 6, 3,.

6 124 0

00

a

In exponential functions, the variable is that which is in the exponent and whose base is always greater than zero and different from one.

An exponential function is a mathematical function used to calculate the exponential growth or decay of a given set of data.

We know that a variable in an exponential function is one whose exponent is always larger than zero and whose base is not one.

These limitations are required since 1 increased to any number equals 1. As a result, we would be faced with a regular function rather than an exponential one.

Additionally, because some exponents would result in the function not being defined, the basis of the exponential function cannot be negative or equal to zero.

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Answer:

[tex]5^{8}[/tex]

Step-by-step explanation:

5 times itself 5 times is 5 to the eighth power

Answer:

London taxi drivers have larger hippocampuses because their job requires them to memorize complicated routes, landmarks, and streets. The hippocampus is the part of the brain responsible for spatial navigation and memory, so the larger hippocampus of London taxi drivers is likely due to the increased use of this area of the brain as a result of their job.

All the missing factors are,

⇒ 40 ÷ 1000 = 0.04

⇒ 0.07 × 10,000 = 700

⇒ 100 × 0.75 = 75

⇒ 24 ÷ 10 = 2.4

⇒ 160 ÷ 10,000 = 0.016

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Now, We can solve as;

⇒ 40 ÷ x = 0.04

⇒ 40 / x = 0.04

⇒ x = 40 / 0.04

⇒ x = 1,000

⇒ 0.07 ×  x = 700

⇒ x = 700 / 0.07

⇒ x = 10,000

⇒ x × 0.75 = 75

⇒ x = 75 / 0.75

⇒ x = 100

⇒ 24 ÷ x = 2.4

⇒ 24 / 2.4 = x

⇒ x = 10

⇒ 160 ÷ x = 0.016

⇒ 160 / 0.016 = x

⇒ x = 10,000

Thus, All the missing factors are,

⇒ 40 ÷ 1000 = 0.04

⇒ 0.07 × 10,000 = 700

⇒ 100 × 0.75 = 75

⇒ 24 ÷ 10 = 2.4

⇒ 160 ÷ 10,000 = 0.016

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The simplest form is -1/2log(9/2).

What is integration?

Integration is a strategy for combining or joining the parts to get at the total. It is a form of differentiation in reverse where we break down functions into their component elements.

Here, we have

Given: ∫⁹₂ 4dx/(9-8x)

We have to find the simplest form in the logarithmic term.

= ∫⁹₂ 4dx/(9-8x)

We let t = (9-8x)

Now, we differentiate w.r.t x and we get

dt = -8dx

dx = -dt/8

Now we put the value of dx in the given equation and we get

= ∫⁹₂ 4(-dt/8)/t

= ∫⁹₂ -1/2t dt

= -1/2[logt]⁹₂

= -1/2[log9 - log2]

= -1/2log(9/2)

Hence, the simplest form is -1/2log(9/2).

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Answer:

63a + 54b

Step-by-step explanation:

9 x 7 = 63

9 x 6 = 54

Answer:

$315.89

Step-by-step explanation:

I = p(1+r/100)^t

 = $215.89

Total = P + I

         = $315.89

The probability that the selected ride will be closed because of mechanical is given as follows:

D. 0.675.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

In this problem, the probabilities are given as percentages, which make the calculations easier.

The percentages associated with a closed ride are given as follows:

Hence the probability is given as follows:

p = 0.9 x 0.75 + 0.08 x 0.25

p = 0.675.

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The formula for calculating a histogram is (Number of Data Points in Bin) / (Total Number of Data Points).

A histogram is a graphical representation of data which displays how often certain values occur within a set of data. It is a type of bar graph that displays the number of values within each bin or interval. The bins are usually of equal size, and the height of each bar indicates the frequency of the values within the bin. Histograms are used to display the distribution of data, allowing a quick visual representation of the data.= (Number of Data Points in Bin) / (Total Number of Data Points)

suppose we have a set of data with the following values: 4, 5, 6, 7, 8, 9, 10, 11, 12. To construct a histogram, we would first divide the data into bins of equal size. In this case, we could use bins of size 2, so the bins would be 4-5, 6-7, 8-9, and 10-11. We would then count the number of data points in each bin, resulting in the following: 4-5: 2 data points; 6-7: 2 data points; 8-9: 2 data points; 10-11: 2 data points. To calculate the histogram we would take the number of data points in each bin, and divide it by the total number of data points (8). This would give us the following histogram: 4-5: 2/8; 6-7: 2/8; 8-9: 2/8; 10-11: 2/8.

In summary, a histogram is a graphical representation of data which displays how often certain values occur within a set of data. It is constructed by dividing the data into bins of equal size, and the height of each bar indicates the frequency of the values within the bin. The formula for calculating a histogram is (Number of Data Points in Bin) / (Total Number of Data Points).

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Complete question:

What is a histogram and how is it calculated?

The intersection of two functions f and g occurring midway between x = a and x = b can be calculated using the following formula: (f(x) - g(x)) = 0.

Let f and g be two functions with the domain (a,b). For f and g to intersect midway between x = a and x = b, the x-coordinate of the intersection point must be (a+b)/2. Therefore, the equation to solve is f(x) = g(x) = (a+b)/2. To solve this equation, we must first find the value of f((a+b)/2) and g((a+b)/2). Then, equate these values to each other, and solve for the variable. For example, if f(x) = x2+2x+4 and g(x) = x+7, the equation to solve is (a+b)/2 + 7 = (a+b)2/4 + 2(a+b)/2 + 4. Simplifying this equation, we get a2 - 2b2 + 2ab + 7a - 7b + 11 = 0. This equation can then be solved using the quadratic formula to find the value of a and b.

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Complete question:

Given two functions f and g, and an interval between x = a and x = b, where is the point of intersection between f and g?

The probability of 2 being the outcome when picking a random card is; P(2) = 40%

The outcomes of the results on the cards are either, 1, 2, 3 or 4 or more.

Now, the total possible outcome will be gotten by adding the frequencies of occurRence to get;

Total Outcome = 6 + 12 + 9 + 3

= 30

Now, the frequency of occurrence of 2 out of the total outcome is 12. Thus;

Probability of 2 being the outcome is;

P(2) = 12/30 = 0.4

Expressing in percentage gives 40%

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Answer:

Step-by-step explanation:

f(g) = fa(g-x)+ b

x2 at origin (0,0) looks like a U porabola

in the above equation you can shift the graph up and down based on the +b.  So if the equation was, for example

F(g) = [tex]x^{2}[/tex] - 3 + 4

you would move the U shape with the origin at (0,0) up 4 and to the right 3.

The seventh term of the given binomial expansion is; 15625

The binomial theorem states the expansion of (a + b)ⁿ as the sum of

n + 1 terms given by the binomial expansion formula that has the binomial coefficient as (n, k) = n!/((n - k)!(k!))

We are looking at the expression;

(x - 5)⁶

The objective is to evaluate the 7th term of the expansion.

Using the formula;

t_r + 1 = (n, r) * a^(n - r) * b^(r)

we can calculate the 7th term for n = 6, r = 6, a = x , b = −5.

t₇ = (6, 6) * x⁶⁻⁶ * (-5)⁶

t₇ = 15625

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Answer: 20

Step-by-step explanation:

You divide -915 by -50 and get 18.3 days but you round up to 20 hope it helps

The answer is True. Degrees of freedom are a feature of statistics that are used when we are analyzing a sample rather than the population.

The degrees of freedom (df) refers to the number of independent observations in a sample that can be used to make inferences about a population. The concept of degrees of freedom is used in many statistical methods, including t-tests, ANOVA, and regression analysis.

In simple terms, degrees of freedom can be thought of as the number of data points in a sample that are "free" to vary in order to estimate a population parameter. For example, in a sample of two measurements, only one measurement is "free" to vary since the other measurement is used to calculate the mean. Hence, the degrees of freedom would be 1.

It's important to note that when analyzing a population, there are no degrees of freedom since all of the observations are considered independent and can be used to estimate the population parameters. In contrast, when working with a sample, the degrees of freedom are reduced by the number of constraints that are imposed on the sample in order to make inferences about the population.

In summary, the degrees of freedom are a feature of statistics that reflect the number of independent observations in a sample that can be used to make inferences about the population.

Therefore, The answer is True. Degrees of freedom are a feature of statistics that are used when we are analyzing a sample rather than the population.

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The answer is True. Degrees of freedom are a feature of statistics that are used when we are analyzing a sample rather than the population.

The degrees of freedom (df) refers to the number of independent observations in a sample that can be used to make inferences about a population. The concept of degrees of freedom is used in many statistical methods, including t-tests, ANOVA, and regression analysis.

In simple terms, degrees of freedom can be thought of as the number of data points in a sample that are "free" to vary in order to estimate a population parameter. For example, in a sample of two measurements, only one measurement is "free" to vary since the other measurement is used to calculate the mean. Hence, the degrees of freedom would be 1.

It's important to note that when analyzing a population, there are no degrees of freedom since all of the observations are considered independent and can be used to estimate the population parameters. In contrast, when working with a sample, the degrees of freedom are reduced by the number of constraints that are imposed on the sample in order to make inferences about the population.

In summary, the degrees of freedom are a feature of statistics that reflect the number of independent observations in a sample that can be used to make inferences about the population.

Therefore, The answer is True. Degrees of freedom are a feature of statistics that are used when we are analyzing a sample rather than the population.

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Answer:

m=log(l)n. is the equation equivalent.

90 minutes is about 5400 seconds long or 1.5 hours long.

Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future.

The minute is a measure of time that is typically equal to 60 seconds, or 1/60 of an hour. Because to leap seconds, a minute occasionally has 61 seconds in the UTC time zone. The minute is acceptable for use with SI units even though it is not a SI unit. Minutes are represented by the SI unit min.

Depending on the speed of the Earth's rotation, an hour is a measure of time that is traditionally calculated as 1/24 of a day and scientifically estimated to last between 3,599 and 3,601 seconds. There are 24 hours in a day and 60 minutes in an hour.

The second is the International System of Units' unit of time, previously defined as 1/86400 of a day. This element came from the split of a day into 24 hours, 60 minutes, and then 60 seconds each.

So , 90 minutes can be writen as

90 * 60 = 5400 seconds

90 minutes can also be written as

90/60 = 1.5 hrs

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The 5th term of the geometric progression is a₅ = 405

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the 5th term of the geometric progression be a₅

Now , the common ratio of the GP is r = 3

And , a₅ = a + 400   be equation (1)

On simplifying the equation , we get

a₅ = ar⁴

Substituting the value of a₅ in the equation , we get

ar⁴ = a + 400

when r = 3

a ( 3 )⁴ = a + 400

81a = a + 400

Subtracting a on both sides of the equation , we get

80a = 400

Divide by 80 on both sides of the equation , we get

a = 5

Now , the 5th term of the GP is a₅ = ar⁴

On simplifying the equation , we get

a₅ = 5 ( 3 )⁴

a₅ = 5 x 81

a₅ = 405

Hence , the 5th term of the GP is 405

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The additive and multiplicative inverse of v{x} are -1 and 1 respectively.

An function in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). Example -

y = f{x} = ax + b

Given is a constant function -

v{x} = 1

We can write the additive inverse of v{x} as -

a⁻¹ (v{x}) = - v{x} = - 1

a⁻¹ (v{x}) = - 1                           ..... { 1 }

and

We can write the multiplicative inverse of v{x} as -

m⁻¹ (v{x}) = 1/v{x} = 1/1 = 1

m⁻¹ (v{x}) = 1                                ...... { 2 }

Therefore, the additive and multiplicative inverse of v{x} are -1 and 1 respectively.

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Answer:

-4

Step-by-step explanation:

Explantion down belowwwww \/

Answer:

16:19

Step-by-step explanation:

The area of the circle is 113.0 ft²

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given that, a circle with diameter 12 feet, we need to find its area,

Diameter = 2 × radius

Radius = 12/2

= 6 ft

Area of a circle = π × (radius)²

Area = 3.14 × 6²

= 3.14 × 36

= 113.04

Hence, the area of the circle is 113.0 ft²

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l ax a p a [sinh ] = , ; p a - > 2 2 and l ax p p a [cosh ] = > , . by integrating and rearranging the equations.

(a) l ax a p a [sinh ] = , ; p a - > 2 2

Formula: a ∫sinh(ax)dx = cosh (ax) + t

Let ax = t

Then, a∫sinh(ax)dx = a∫sinh (t) dt

By integrating,

a∫sinh (t) dt = cosh (t) + c

Substituting ax = t

a∫sinh(ax)dx = cosh (ax) + c

Rearranging for a,

l ax a p a [sinh ] = , ; p a - > 2

(b) l ax p p a [cosh ] = > , .

a ∫cosh(ax)dx = sinh (ax) + c

Let ax = t

Then, a∫cosh(ax)dx = a∫cosh (t) dt

By integrating,

a∫cosh (t) dt = sinh (t) + c

Substituting ax = t

a∫cosh(ax)dx = sinh (ax) + c

Rearranging for a,

l ax p p a [cosh ] = > , .

Thus it is shown that l ax a p a [sinh ] = , ; p a - > 2 2 and l ax p p a [cosh ] = > , . by integrating and rearranging the equations.

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A. Using percentages, if Drew earned 50% of $150 in the first week, the total amount earned is $75.

B. If Drew earned 50% of $75 in the second week, the total amount earned is $37.50.

C. If Drew earned 50% of $37.50 in the third week, the total amount earned is $18.75.

D. The percentage Drew earned in the fourth week is 12.5%.

The percentage refers to a relative size or ratio of one quantity compared to another larger quantity.

The percentage is a fractional value that shows the quotient of a division operation between the numerator and the denominator, which is then multiplied by 100.

A) The total goal for Drew to earn in four weeks = $150

The percentage earned in the first week = 50%

50% of $150 = $75.

B) The remaining part of the goal to be achieved after the first week = $75 ($150 - $75)

The percentage earned in the first week of the remainder = 50%

50% of $75 = $37.50

C) The remaining part of the goal after the second week = $37.50

The percentage of earnings in the third week = 50% of $37.50

= $18.75

D) Total earnings from week 1 to week 3 = $131.25 ($75 + $37.50 + $18.75)

$131.25/$150 x 100 = 87.5%

Remaining percentage = 12.5% (100 - 87.5)

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Answer:

16

Step-by-step explanation:

x/8 = 2

Multiply 8 to both sides:

[x = 16]

Answer:

x = 16

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ x/8 = 2

Then the value of x will be,

→ x/8 = 2

→ x = 2 × 8

→ x = 16

Hence, the value of x is 16.

To find the commission and fees the insurance agent has earned, we need to first calculate the 3% commission from the $89,000 in sales. This is equal to $2,670. Next, we need to calculate the additional fees from the 8 home policies sold. This is equal to $128. Thus, the total commission and fees the agent has earned this month is $2,798 ($2,670 + $128).

This commission and fees amount is in addition to the base salary of $32,000. Thus, the total earned this month by the insurance agent is $34,798 ($32,000 + $2,798). This figure is obtained by adding the base salary and the commission and fees. Note that this figure does not include any bonuses or other incentives that the agent may receive.

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Answer:

Given that `x=10`, we can find the value of `a` and `b` by substituting the value of `x` into the given expressions for `a` and `b`.

For `a`, we have: `a = 5x^2/2`. Substituting `x=10`, we get: `a = 5(10)^2/2 = 250`.

For `b`, we have: `b = 2x^2(x-5)/10x`. Substituting `x=10`, we get: `b = 2(10)^2(10-5)/10(10) = 100`.

Therefore, when `x=10`, the value of `a` is 250 and the value of `b` is 100.

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Age at natural death is an example of a real-world variable with a left-skewed distribution (heart disease, cancer, etc.). Most of these deaths occur in older people and a minority in younger people.

Salary is an example of a real-world variable with a right-skewed distribution. If there are a few outliers (CEOs, professional athletes, etc.), most individuals have incomes in the low/mid range, with a wide range of higher numbers (a long "tail"). A long left tail indicates that the distribution is skewed to the left. A negatively skewed distribution is similar to a left skewed distribution. This is because the number line has a long tail in the negative direction. The average is also to the left of the peak. The left side of a left-skewed distribution is longer than the right side. That is, a left-skewed distribution has a long tail on the left.

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