A geometric sequence has first term 5 and common ratio 2. the sum of the first n terms of the sequence is 163 835. What is n ? [Answer format: integer, no units]

Answer:

55 - 56i² + 94i

Step-by-step explanation:

11(5 + 6i) - 7i(8i - 4)

=> 55 + 66i - 56i² + 28i

=> 55 - 56i² + 94i

Therefore, 55 - 56i² + 94i is our simplified form.

Answer:

11(5+6i)−7(−4+8i)

11(5+6)−7(−4+8)

11(5+6)−(−28−56)

11(5+6)−(−56−28)

11(5+6)+56+28

55+66+56+28

(55+56)+(66+28)

111+94

Step-by-step explanation:

The answer, rounded to the appropriate number of significant figures, is 5.45 kg/L. To express it in scientific notation, we can write it as:
5.45 × 10^(0) kg/L.Since 10^0 equals 1, the final answer in scientific notation is:5.45 × 1 kg/L

The given expression [(0.00034 kg)/((0.0000598 L+2.54×10^(-6) L))] represents a division calculation. To evaluate the expression, we substitute the given values into the equation and perform the necessary calculations. The final answer is expressed in scientific notation, rounded to the appropriate number of significant figures, and includes the correct unit.To evaluate the expression [(0.00034 kg)/((0.0000598 L+2.54×10^(-6) L))], we substitute the given values and perform the division:
Numerator: 0.00034 kg
Denominator: (0.0000598 L + 2.54×10^(-6) L)
Adding the terms in the denominator, we get:
0.0000598 L + 2.54×10^(-6) L = 0.00006234 L
Now we can rewrite the expression as:
(0.00034 kg) / (0.00006234 L)
Performing the division:
(0.00034 kg) / (0.00006234 L) ≈ 5.453 kg/L

The answer, rounded to the appropriate number of significant figures, is 5.45 kg/L. To express it in scientific notation, we can write it as:
5.45 × 10^(0) kg/L.Since 10^0 equals 1, the final answer in scientific notation is:5.45 × 1 kg/L
Therefore, the evaluated expression is 5.45 kg/L.

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Answer:

192

Step-by-step explanation:

Just multiply 24 by 8.

I think thats it tho.

Answer:

I think its 192

Step-by-step explanation:

you just do 24 times 8

There is a .90 probability that the project will be completed before approximately day 118.

The given information can be solved by using the formula of z-score as follows:

Z = (X - μ)/σ

Where: Z = z-score

X = the time for project completion

μ = the mean time for the critical path

σ = standard deviation for the critical path

σ² = variance of the critical pathσ = √64

σ = 8

Given that the mean time for the critical path is μ = 108 days and σ = 8 days,

Therefore, the z-score of the completion of the project before 108 days is given by:

Z = (X - μ)/σ0.90

 = P(Z < z)

 = P(Z < (X - 108)/8)P(Z < (X - 108)/8)

 = 0.90

Using a z-table or calculator, we find the z-value to be 1.28.

Then,1.28 = (X - 108)/8

Multiplying both sides by 8, we get:10.24 = X - 108

Adding 108 to both sides, we get: X = 118.24

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At great axial distances x from a current-carrying loop, the magnetic field varies as:

b. x^-3

Here's the step-by-step explanation:

1. The magnetic field B at a point on the axis of a current-carrying loop can be given by the formula: B = (μ₀Ia²) / (2(a² + x²)^(3/2))

2. In this formula, μ₀ is the permeability of free space, I is current, a is the radius of the loop, and x is the axial distance from the loop.

3. When the axial distance x is much greater than the radius a (i.e., x >> a), the term a² in the denominator becomes negligible compared to x².

4. Therefore, the formula simplifies to: B ≈ (μ₀I) / (2x³)

As you can see, the magnetic field B varies as x^-3 at great axial distances from the current-carrying loop.

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False. The weight of a variable in a standardized predictor environment does not necessarily indicate that the variable has a higher discriminating power.

Discriminating power is determined by the correlation of a predictor variable with the outcome variable. We can calculate the correlation between a predictor variable and an outcome variable using Pearson's correlation coefficient, which is represented by the formula:

r = (NΣXY - (ΣX)(ΣY)) / √[(NΣX2 - (ΣX)2)(NΣY2 - (ΣY)2)].

In this formula, N is the sample size, ΣX is the sum of the predictor variable, ΣY is the sum of the outcome variable, ΣXY is the sum of the products of the predictor and outcome variables, and ΣX2 and ΣY2 are the sums of the squares of the predictor and outcome variables, respectively. The Pearson's correlation coefficient ranges from -1 to +1, with +1 indicating perfect positive correlation, 0 indicating no correlation, and -1 indicating perfect negative correlation. A higher correlation coefficient indicates a higher discriminating power.

Therefore, the weight of a variable in a standardized predictor environment does not indicate whether or not the variable has a higher discriminating power; this is determined by the correlation between the predictor and outcome variables.

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The answer is B. Nothing can be determined with just that information.

The percentage of ownership does not necessarily determine the type of ownership. The type of ownership can only be determined by the specific language used in the deed. The language will indicate whether the parties hold the property as joint tenants, tenants in common, tenants by the entirety, or some other form of ownership. The percentage of ownership may be relevant in some cases, such as in determining the distribution of profits or liabilities, but it does not determine the type of ownership. Therefore, without additional information about the language used in the deed, it is impossible to determine the type of ownership based solely on the percentages of ownership.

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Answer:

-10

-7

-4

-1

2

5

8

Step-by-step explanation:

an = a + (n - 1)d

Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

Answer:

17−7

Step-by-step explanation:

Hope this helped good luck in your work!

Answer:

a) a= (3/4)t

4a = 3t

b = (5/2)t

2b = 5t

b)See explanation below

c) It will take 30.075 hours for the whole business to make at least $500 profit

Step-by-step explanation:

a) First we would represent the information given in terms of amount of bracelet produced and time spent in production with variables in order to convert to linear equations

Let number of bracelet Darrelle makes = a

Number of bracelet Danica makes = b

Let the time spent in producing them in hours = t

Darrelle takes 4 hours to make 3 bracelets:

Rate of producing bracelet = (number of bracelet produced)/time

Rate = a/t = 3/4

4a = 3t

Linear equation form: y = mx + c

a= (3/4)t

The above equation is in the slope-intercept form indicating the intercept = 0 and slope = 3/4

4a - 3t = 0 (equation in standard form )

Danica makes 5 bracelets every 2 hours:

Rate of producing bracelet = (number of bracelet produced)/time

Rate = b/t = 5/2

2b = 5t

Linear equation form: y = mx + c

b = (5/2)t

The above equation is in the slope-intercept form indicating the intercept = 0 and slope = 5/2

2b - 5t = 0 (equation in standard form)

b) The equations are linear equations, hence they can be graphed.

But as regards graphing using special functions, this answer can only be answered by you as I'm not aware of the special functions discussed in the course.

c) Darrelle makes $10.50 in profit per bracelet.

Danica makes $3.50 in profit per bracelet

Since Darrelle and Danica work the same amount of time, we have to find the relationship between their profit, the number of bracelets produced and the time.

Profit for Darrelle for 'a' number of bracelet product = $10.50 × a = $10.50a

Profit for Danica per 'b' number of bracelet product = $3.50 × b = $3.50b

Let P = total profit made by both

P = $10.50a + $3.50b

Relationship of profit in terms of time spent in production when they work same amount of time:

P = $10.50(3/4 ×t)+ $3.50(5/2 × t)

P = 16.625t

When P = $500, t = ?

500 = 10.50(3/4 ×t)+ 3.50(5/2 × t)

500 = 7.875t + 8.75t

500 = 16.625t

t = 30.075 hours

It will take 30.075 hours for the whole business to make at least $500 profit

The negation of the proposition posed the statement is:

"Every student in this class has seen a computer."

The negation of the proposition "There is a student in this class who has never seen a computer" can be expressed using quantifiers as follows:

∀ x ∈ S, ∃ y ∈ C (x has seen y)

This means "For all students x in the class S, there exists a computer y in the set of computers C such that x has seen y."

In English, the negation of the proposition can be expressed as "Every student in this class has seen a computer."

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Answer:

116

Step-by-step explanation:

155-39=116

Only table 2 is a function since it is a one to one mapping

A function is a one-to-one mapping of an equation.

Since we have four expressions to determine if they are functions, we notice that

So, only table 2 is a function

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Answer:

No

Step-by-step explanation:

You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.

No, the government offices can not be represented as a function of the ministers' names.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given that, names of offices and their presidents,

Since,

You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.

Hence, the government offices can not be represented as a function of the ministers' names.

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Answer:

the new position of a point, a line, a line segment, or a figure after a transformation

Step-by-step explanation:

The central angle (in radians ) is 0.8 radians.
What is a cricle ?

A circle is a basic 2D shape measured by its radius. A circle divides the plane into two areas: interior and exterior. Similar to line type. Imagine a line segment bending until the ends connect. Arrange the loops so that they form a perfect circle.

we know that,

arc length = radius *  central angle (in radians)

and central angle (in radians) = arc length / radius

by substituting the given values

arc length = 7.2

radius=9

we get,

central angle (in radians) = 7.2 / 9

=0.8 radians

Hence , the central angle = 0.8 radians

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To test for differences in full IQ score across the 3 exposure groups, we can use both parametric and non-parametric tests.  Based on the overall test results, if there is sufficient evidence to reject the null hypothesis (p < 0.05), we can perform further pairwise testing between the means.

a) To test for differences in full IQ score across the 3 exposure groups, we can use both parametric and non-parametric tests.

Parametric test (ANOVA):
- Null hypothesis (H0): There are no differences in full IQ score across the 3 exposure groups.
- Alternative hypothesis (Ha): There are differences in full IQ score across the 3 exposure groups.
- Test statistic: F statistic
- P-value: Report the p-value obtained from the ANOVA test.

Non-parametric test:
- Null hypothesis (H0): There are no differences in full IQ score across the 3 exposure groups.
- Alternative hypothesis (Ha): There are differences in full IQ score across the 3 exposure groups.
- Test statistic: Kruskal-Wallis statistic
- P-value: Report the p-value obtained from the Kruskal-Wallis test.

b) To assess the distribution of full IQ scores, we can compare the results of the parametric and non-parametric tests. The test that provides more valid results depends on the assumptions of normality and homogeneity of variances. If the assumptions are met, the parametric test (ANOVA) is more valid. If the assumptions are violated, the non-parametric test (Kruskal-Wallis) is more valid.

c) Based on the overall test results, if there is sufficient evidence to reject the null hypothesis (p < 0.05), we can perform further pairwise testing between the means. Otherwise, if there is not enough evidence to reject the null hypothesis, further pairwise testing is not justified. In either case, the decision should be explained based on the p-value obtained from the overall test.

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Answer:

D. x^2-x-9-12/x-2

Step-by-step explanation:

We can use synthetic division to divide (x^3 - 3x^2 - 7x + 6) by (x - 2). First, we set up the division as follows:

    2 |   1   -3   -7    6

       |______2___-2__-18

       | 1   -1   -9  -12

The numbers on the bottom row of the synthetic division table represent the coefficients of the quotient polynomial. Therefore, the quotient is x^2 - x - 9, and the remainder is -12.

So, we have:

(x^3 - 3x^2 - 7x + 6) / (x - 2) = x^2 - x - 9 + (-12 / x - 2)

Therefore, the correct option is D: x^2 - x - 9 - 12/(x - 2).

The equation represents the function on the graph is f(x)= cos 4x.

What is the function on the graph?

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.

We have given,

A: f(x)= cos 1/4x

B: f(x)= sin 4x

C: f(x)= cos 4x

D: f(x)= sin 1/4x

To find the equation represent the function on the graph:

f(x) = cos 4x

let take the values on the x-axis of the graph,

x = п/2, п, 3п/2, 2п, 5п/2

For cos 360 degrees, the angle 360° lies on the positive x-axis. Thus cos 360° value = 1

Since the cosine function is a periodic function, we can represent cos 360° as, cos 360 degrees = cos(360° + n × 360°), n ∈ Z.

⇒ cos 360° = cos 720° = cos 1080°, and so on.

so, cos 4( п/2) = cos 4( 3п/2) = cos 4( 2п) = cos 4( 5п/2) = 1.

Hence, the equation represents the function on the graph is f(x)= cos 4x.

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Answer:

1. 75000 ⇒ 7.5 × \(10^{4}\)

2. 0.0024 ⇒ 2.4 × \(10^{-3}\)

3. 75,000,000 ⇒ 7.5 × \(10^{7}\)

4. 0.0000024 ⇒ 2.4 × \(10^{-6}\)

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers.

A number is written in scientific as a number between 1 and 10 and multiplied by a power of 10

The form of the scientific notation is a × \(10^{n}\), where

1. 75000

→ Place a decimal point between 7 and 5 to make the number between

   1 and 10

∴ a = 7.5

→ Count the number of the digits right to the decimal point

∵ There are 4 digits right to the decimal point

∴ n = 4

∴ 75000 ⇒ 7.5 × \(10^{4}\)

2. 0.0024

→ Move the decimal point from left to right to place it between 2 and 4 to

   make the number between 1 and 10

∴ a = 2.4

→ Count the number of the digits left to the decimal point

∵ There are 3 digits left to the decimal point

∴ n = -3

∴ 0.0024 ⇒ 2.4 × \(10^{-3}\)

3. 75,000,000

→ Place a decimal point between 7 and 5 to make the number between

   1 and 10

∴ a = 7.5

→ Count the number of the digits right to the decimal point

∵ There are 7 digits right to the decimal point

∴ n = 7

∴ 75,000,000 ⇒ 7.5 × \(10^{7}\)

4. 0.0000024

→ Move the decimal point from left to right to place it between 2 and 4 to

   make the number between 1 and 10

∴ a = 2.4

→ Count the number of the digits left to the decimal point

∵ There are 6 digits left to the decimal point

∴ n = -6

∴ 0.0000024 ⇒ 2.4 × \(10^{-6}\)

Answer:

length of each side : 10 cm

Step-by-step explanation:

all sides of squares are equal

thus, 4 sides = 40 cm

1 side = 40/10 cm

1 side = 10 cm

Answer:

Step-by-step explanation:

the formula of the perimeter of a square = 4 × (length of any one side)

we use the inverse formula

40 : 4 = 10 cm

Answer:

100

Step-by-step explanation:

you said 8 is 16% of 50 and 8 is half of 16 so that means 50 is half of 100

Answer:

the answer is 32% or 100

Answer: 5

Step-by-step explanation:

If the length is equal to x, the width is 3(x+2). To make it easier, we simplify 3(x+2) to 3x+6.

Perimeter is 2(l+w).

Substitute 2(l+w) with our values of length and width. You get:

2(x+(3x+6))=52

Then you solve the equation:

2(x+(3x+6))=52

2(4x+6)=52

8x+12=52

8x=40

x=5

The length is 5.

Answer:

144 in^2

Step-by-step explanation:

Using the A = s^2 and the text says that s= 12in

 the answer is 12 in * 12 in = 144 in^2