can u guys help wit a little bit more questions what is 9.04-6.98 ​

Log(1), log(-1), log(i) and ii are all numbers written in the form a + bi. Log(1) = 0; log(-1) = undefined; log(i) = 0.5i; ii = -1; a = -1 and b = 0 because the number is in the form a + bi.

Given numbers are;• log(1)• log(-1)• log(i)• iiFor all numbers written in the form a + bi, we must find a and b. Here's how to do it: log(1)In this case, the log is taken in base 10. The result of this is 0. So, we have: log(1) = 0Therefore, a=0 and b=0 because the number is not in the form a + bi. log(-1)In this case, the log is taken in base 10. The result of this is undefined. This is because there is no power to which we can raise 10 to get -1. So, we have: log(-1) = undefinedTherefore, a=undefined and b=undefined because the number is not in the form a + bi. log(i)In this case, the log is taken in base 10. The result of this is 0.5iπ. So, we have: log(i) = 0.5iπTherefore, a=0 and b=0.5π because the number is in the form a + bi. iiIn this case, we are finding the square of i. i is a complex number given as i = 0 + 1i. Therefore, we have: i2 = (0 + 1i)2= (0)2 + 2(0)(1i) + (1i)2= -1This is because i2 = -1. Now, we can write ii as: ii = i × i= (0 + 1i) × (0 + 1i)= 0 + 0i + 0i + 1i2= -1So, we have: ii = -1Therefore, a=-1 and b=0 because the number is in the form a + bi.

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Answer:

what equation?

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2(x+1)^2+3=21

2(x+1)^2=9

x+1=3

x=2

The area of streetlamp illuminates approximately 660.19 square meters of the street.

What is the area?

An area is a measure of the size or extent of a two-dimensional surface or region. It is the amount of space inside a flat, two-dimensional shape or figure. The area is typically measured in square units

The area of a circle is given by the formula A = πr², where r is the radius. In this case, the diameter (which is the same as the distance across the circle through the center) is 29 meters, so the radius is half of that, or 14.5 meters.

Using the formula for the area of a circle, we have:

A = πr²

A = 3.14 x 14.5²

A ≈ 660.19 square meters

Therefore, the streetlamp illuminates approximately 660.19 square meters of the street.

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Answer:

Given:

Length = 3x m

Breadth = 2x m

Perimeter = 250m

Need to find:

The value of x=?

Solution:

We know,

Perimeter of rectangle = 2×(length + breadth)

Substitute the values!

→ 250m = 2 ×( 3x + 2x) m

→ 250 = 2 × 5x

→ 10x = 250

→ x = 25

━━━━━━━━━━━━

━━━━━━━━━━━━━━━━━━

Knowledge cell:

Area of a rectangle = Length × Breadth

Area of square = Side × Side

Area of rhombus=

Perimeter of square = 4× side

Area of trapizium =

Step-by-step explanation:

Answer:

$226.57

Step-by-step explanation:

The derivative of the function is

A) dw/dz=z^5 (7z-18)

B) dh/dx=192x^11+36x^5-6x^2+19

C) dy/dx=24x^2-38x-15

In mathematics, the derivative of a function measures the sensitivity to change of the function value with respect to a change in its argument. It is the rate of change of a function with respect to a variable.

A) w = z^7 – 3z^6 + 14

dw/dz=7z^6-18z^5

dw/dz=z^5 (7z-18)

B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7

dh/dx=192x^11+36x^5-6x^2+19

C) y = (8x + 5)(x^2 – 3x)

dy/dx=  d/dx  [8x+5]*〖(x〗^2-3x)+(8x+5)*d/dx[x^2-3x]

dy/dx=(8*  d/dx  [x}+d/dx[5])*〖(x〗^2-3x)+(8x+5)*(d/dx[x^2]-3 d/dx[x])

dy/dx=(8*1+0)(x^2-3x)+(8x+5)(2x-3*1)

dy/dx=8(x^2-3x)+(2x-3)(8x+5)

dy/dx=24x^2-38x-15

Note: The question is incomplete. The complete question probably is: Find the derivative of the following function: A) w = z^7 – 3z^6 + 14 B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7 C) y = (8x + 5)(x^2 – 3x).

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Answer:

I think the answer is 12 mph

Answer:

all you have to do is 13x6x8x4 my friend

a. The sales tax is 6% of the original price of $60, which is:

0.06 x $60 = $3.60

So the total cost of the watch including tax is:

$60 + $3.60 = $63.60

b. The discount is 15% of the original price of $60, which is:

0.15 x $60 = $9

So the sale price of the watch is:

$60 - $9 = $51

c. To find the total cost of the watch including tax, we need to calculate the sales tax on the discounted price of $51:

0.06 x $51 = $3.06

So the total cost of the watch for your friend is:

$51 + $3.06 = $54.06

d. The percent change in the total cost can be calculated using the formula:

percent change = (new value - old value) / old value x 100%

For you, the old value was $60 and the new value (including tax) was $63.60. So the percent change is:

(percent change) = ($63.60 - $60) / $60 x 100% ≈ 6%

For your friend, the old value was $60 and the new value (including tax and discount) was $54.06. So the percent change is:

(percent change) = ($54.06 - $60) / $60 x 100% ≈ -9% (note that this is a decrease, since the new value is less than the old value)

The answer is b) 0.1942, which is 1 - 0.1635.  This problem involves a binomial distribution with n = 200 and p = 0.59. We want to find the probability that more than 56% of the sample will have taken the ACT, which is equivalent to finding the probability of getting more than 200 * 0.56 = 112 "successes" (i.e., students who took the ACT).

We can use the normal approximation to the binomial distribution to solve this problem. The mean of the distribution is μ = np = 200 * 0.59 = 118, and the standard deviation is σ = sqrt(np(1-p)) = sqrt(200 * 0.59 * 0.41) = 6.08.

To use the normal distribution, we need to standardize our value of interest using the z-score formula:

z = (x - μ) / σ

where x is the number of "successes" we want (i.e., 112), μ is the mean of the distribution, and σ is the standard deviation.

z = (112 - 118) / 6.08 = -0.98

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than -0.98, which is equivalent to the probability that more than 56% of the sample will have taken the ACT:

P(z < -0.98) = 0.1635

Therefore, the answer is b) 0.1942, which is 1 - 0.1635.

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Answer:

40 ft

Step-by-step explanation:

Triangle ABC is given by AB = 13 ft, BC = 10 ft, ∠ACB = 50° and AC = b. Let AB = a = 13 ft, BC = c = 10 ft

Since two sides are given and one angle is given, to find the other side, we use the cosine formula. The cosine formula is given by:

\(c^2=a^2+b^2-2abcos(C)\\b^2=c^2-a^2+2abcos(C)\\substituting\ values:\\b^2=13^2-10^2+2*10*bcos(50)\\b^2=169-100+12.86b\\b^2-12.86b=69\\b^2-12.86b-69=0\\ solving\ simultaneously\ gives:\\b=16.93\ ft\)

The perimeter of the triangle is given by:

Perimeter = AB + BC + AC = 13 + 10 +16.93 = 39.93 ft ≈ 40 ft

The measure of angle HIJ is 20°. The correct option is the last option 20°

From the question, we are to determine the measure of angle HIJ

From one of the Circle theorems, we have that

The angle at the center of a circle is twice the angle at any part of the circumference

From the information,

The measure of arc HJ is 40°. That is, the angle at the center is 40°.

Then, using the above theorem,

Measure of angle HIJ = 40° / 2

Measure of angle HIJ = 20°

Hence, the measure of angle HIJ is 20°. The correct option is the last option 20°

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Answer:

20°

Step-by-step explanation:

Answer:

\(pr(x=6)=\frac{17}{28}\)

Step-by-step explanation:

Well the probabilities should all up to 1. This means pr(x<6) + pr(x=6) + pr(x>6) = 1.

So plugging in the known values we get: \(\frac{1}{7} + pr(x=6) + \frac{1}{4}=1\)

To make things easier, let's multiply the 1/7 by 4/4 and 1/4 by 7/7

\(\frac{4}{28}+pr(x=6)+\frac{7}{28}=1\)

Now combine like terms: \(pr(x=6)+\frac{11}{28}=1\)

Subtract 11/28 from both sides

\(pr(x=6)=\frac{17}{28}\)

3,200 + 560 + 16 √

(400 × 8) + (70 × 8) + (2 × 8) √

(400 × 8) × (70 × 8) × (2 × 8) X

3,776 √

3,200 × 560 × 16 √

(400 + 70 + 2) × 8 √

(400 × 70 × 2) × 8 X

28,672,000 X

\( \)

Answer: -1/4

Step-by-step explanation:

1-3= -2

-2/8 simplifies to -1/4  

Answer: 3

Step-by-step explanation:

A fractional exponent is the root of a number by the denominator

Which looks like: \(\sqrt[3]{27}\)

And the cube root of 27 is 3.

Answer:

D and A

Step-by-step explanation:

1. 610:488 simplify

5:4

2.360:(488+551+610+360+391)

360:2400

3:20

The approximate number of students with Scores between 68 and 83 is 98.Answer: a. 98

The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83?

The five-number summary consists of the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The interquartile range is the difference between the third and first quartiles. Interquartile range (IQR) = Q3 – Q1, where Q3 is the third quartile and Q1 is the first quartile. The 5-number summary for scores on a statistics exam is given below:

Minimum value = 35

First quartile Q1 = 68

Median = 77

Third quartile Q3 = 83

Maximum value = 97

The interval 68–83 is the range between Q1 and Q3.

Thus, it is the interquartile range.

The interquartile range is calculated as follows:IQR = Q3 – Q1 = 83 – 68 = 15

The interquartile range of the scores between 68 and 83 is 15. Therefore, the number of students with scores between 68 and 83 is roughly half of the total number of students. 196/2 = 98.

Thus, the approximate number of students with scores between 68 and 83 is 98.Answer: a. 98

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It would take approximately 9.4 years to triple your investment with a 14% return, assuming compound interest.

To determine how long it would take to triple your investment with a 14% return, we can use the compound interest formula

Future Value = Present Value × (1 + Interest Rate)ⁿ

In this case, the Future Value is three times the Present Value, the Interest Rate is 14% (or 0.14), and we want to solve for Time.

Let's denote the Present Value as P and the Time as n:

3P = P × (1 + 0.14)ⁿ

Now, we can simplify the equation:

3 = (1.14)ⁿ

To solve for n, we need to take the logarithm of both sides of the equation. Let's use the natural logarithm (ln) for this calculation:

ln(3) = ln((1.14)ⁿ)

Using the logarithmic property, we can bring down the exponent:

ln(3) = n × ln(1.14)

Now, we can solve for t by dividing both sides of the equation by ln(1.14):

n = ln(3) / ln(1.14)

we can find the value of t:

n ≈ 9.4

Therefore, it would take approximately 9.4 years to triple your investment with a 14% return, assuming compound interest.

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Answer:

you have to think and look the examples and read the question until you understand the question what it says

The solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

As per data the system of linear equations,

\(\[ \left\{\begin{array}{c} x+2 y+3 z=9 \\ 2 x-y+z=8 \\ 3 x-z=3 \end{array}\right. \] 1)\)

Write the system in the matrix form \(\( A . X=B \)\)

We know that the matrix form of the system of linear equations is as follows.

\(\[A. X = B\]\)

Where

\(\[A=\begin{pmatrix} 1 & 2 & 3 \\ 2 & -1 & 1 \\ 3 & 0 & -1 \end{pmatrix}\[X=\begin{pmatrix} x \\ y \\ z \end{pmatrix}\]\)

and

\(\[B=\begin{pmatrix} 9 \\ 8 \\ 3 \end{pmatrix}\]2)\)

To solve the system, we can use row reduction method.

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 2 & -1 & 1 & 8 \\ 3 & 0 & -1 & 3 \end{pmatrix}\]\)

Applying the elementary row operations

\(\[R_{2}\to R_{2}-2R_{1}\]\)

and

\(\[R_{3}\to R_{3}-3R_{1}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & -6 & -10 & -24 \end{pmatrix}\]\)

Now applying the elementary row operations

\(\[R_{3}\to R_{3}-(6/5)R_{2}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & 0 & -1 & -2 \end{pmatrix}\]\)

Now, we need to apply back substitution method. Using the third row, we can get the value of z as z = 2.

Now, using the second row,

\(\[-5y - 5z = -10\]\\\-5y - 5(2) = -10\]\)

Solving this equation, we get y = 0.

Finally, using the first row, we can get the value of x as

\(\[x + 2y + 3z = 9\]\\x = 3\]\)

Hence, the solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

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Answer:

c

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

Answer:

5250$

Step-by-step explanation:

sale price * percentage

175000*.03 = 5250

or 175000*3 = 525000

divide by 100 it is 5250

The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.

A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).

Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.

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The false identity among the given options is: S + TA - TR ≡ 1 + G + NX, which suggests that savings plus taxes on households minus transfers received by households is equal to one plus government spending plus net exports.

In the national income accounting framework, the first equation, Y ≡ C + I + G + NX, represents the national income identity, where Y denotes national income, C represents consumption, I represents an investment, G represents government spending, and NX represents net exports.

The second equation, YD ≡ Y - TA + TR, represents the disposable income identity, where YD denotes disposable income, TA represents taxes on households, and TR represents transfers received by households.

The third equation, BS ≡ TA - TR - G, represents the government budget surplus/deficit identity, where BS denotes the government budget surplus/deficit.

The fourth equation, I - S ≡ (G - TA + TR) + NX, represents the saving-investment identity, where I denotes investment and S denotes savings.

The false identity, S + TA - TR ≡ 1 + G + NX, suggests that savings plus taxes on households minus transfers received by households is equal to one plus government spending plus net exports. This equation is not consistent with the principles of national income accounting and economic theory, hence making it false.

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Answer:

My answer would most likely be x = -4.

Answer:

x = -4

Step-by-step explanation:

The first four terms of the geometric sequence ((\(9^n\)) + 2) / 3 with a common ratio of 3 are 1, 11/3, 83/3, and 731/3.

To find the first four terms of the geometric sequence given by the formula ((\(9^n\)) + 2) / 3, where the common ratio is 3, we can substitute different values of n into the formula. Let's calculate each term step by step:

Step 1: Finding a₁ (the first term)

To find the first term (a₁), we substitute n = 0 into the formula:

a₁ = ((\(9^0\)) + 2) / 3

= (1 + 2) / 3

= 3 / 3

= 1

So, a₁ = 1.

Step 2: Finding a₂ (the second term)

To find the second term (a₂), we substitute n = 1 into the formula:

a₂ = ((\(9^1\)) + 2) / 3

= (9 + 2) / 3

= 11 / 3

So, a₂ = 11/3.

Step 3: Finding a₃ (the third term)

To find the third term (a₃), we substitute n = 2 into the formula:

a₃ = ((9²) + 2) / 3

= (81 + 2) / 3

= 83 / 3

So, a₃ = 83/3.

Step 4: Finding a₄ (the fourth term)

To find the fourth term (a₄), we substitute n = 3 into the formula:

a₄ = ((9³) + 2) / 3

= (729 + 2) / 3

= 731 / 3

So, a₄ = 731/3.

Therefore, the first four terms of the geometric sequence ((\(9^n\)) + 2) / 3 with a common ratio of 3 are as follows:

a₁ = 1,

a₂ = 11/3,

a₃ = 83/3,

a₄ = 731/3.

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The question is -

Find the common ratio and write out the first four terms of the geometric sequence {((9^n)+2)/(3)} . The common ratio is 3 .................... a1=? a2= ? a3=? a4=?

Answer:

31.83

Step-by-step explanation:

The circle would have a circumference of 31.83

Answer:

B

Step-by-step explanation:

27/3=9