Answer:
It can be deduced that the set of fractions that is an example of reciprocal fractions include, 1/2, 3/1, and 1/6.
Step-by-step explanation:
Can you pls help? This is geometry
Answer:
(x+2)^2+(y-5)^2=81
Step-by-step explanation:
standard form equation is (x-h)^2+(y-k)^2=r^2
so, input the values:
(x+2)^2+(y-5)^2=9^2
simplify:
(x+2)^2+(y-5)^2=81
Find the unknown measures. Round lengths
to the nearest hundredth and angle
measures to the nearest degree.
D
2.1
E
5.3
angle D-
Answer:
A correct option is option (b).
Given,
Trigonometric ratios:
The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
The given triangle is right angle triangle then
Now, calculate the angles.
Again,
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Step-by-step explanation:
HELP I DONT GET THIS!!Add.
(6d²+3d)+(7d+3)
Answer:
the answer is...
Step-by-step explanation:
6d^2 + 10d + 21
Calculate the Social Security and Medicare tax that would be applied to an annual salary of $125,000. Use $106,800 for maximum taxable earnings. (Soc Sec 6.2%, taxed up to $106,800 and Medicare 1.45%).
a. Social Security tax: $77,500.00, Medicare tax: $18,125.00 b. Social Security tax: $7,750.00, Medicare tax: $1,812.50 c. Social Security tax: $66,216.00, Medicare tax: $18,125.00 d. Social Security tax: $6,621.60, Medicare tax: $1,812.50
The calculated Social Security tax is $ 6621.60 on the maximum taxable earning, that is $106800 on the rate of 6.2% and Medicare tax is $1812.50 on the annual salary, that is $125,000 on the rate of 1.45%.
Hence option d is the correct option.
The annual salary of an individual is given as $125,000.
Medicare tax is levied on the annual salary of an individual, that is on $125,000. It is given as 1.45 % on $125,000.
The maximum taxable earnings is $106,800 and Social Security tax is levied on this $106,800. It is given as 6.2% on $106,800.
Thus, applying basic rule of percentage calculation we get,
Earnings from Social Security tax = $(6.2% of 106800)
= ${(62/100*10)(106800)
= $ 6621.60
Earnings from Medicare tax = $(1.45% of 125000)
= $(145/100*100)(125000)}
= $1812.50
Hence option d Social Security tax: $6,621.60, Medicare tax: $1,812.50 is the correct option.
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Find the determinant by row reduction to echelon form. 1 5-6 1 6 5 2 8 7 Use row operations to reduce the matrix to echelon form. 1 5 -615-6 1 6 5 0 1 11 2 8 70 0-27 Find the determinant of the given matrix. 1 5 -6 16 5 -27
The determinant of the given matrix is -27
To find the determinant of the given matrix by row reduction to echelon form, follow these steps:
1. Write down the given matrix:
```
| 1 5 -6 |
| 1 6 5 |
| 2 8 7 |
```
2. Use row operations to reduce the matrix to echelon form. First, eliminate the elements below the pivot element (1) in the first column:
```
R2 = R2 - R1
R3 = R3 - 2 * R1
```
Resulting matrix:
```
| 1 5 -6 |
| 0 1 11 |
| 0 -2 -19 |
```
3. Next, eliminate the elements below the pivot element (1) in the second column:
```
R3 = R3 + 2 * R2
```
Resulting matrix:
```
| 1 5 -6 |
| 0 1 11 |
| 0 0 -27 |
```
4. The matrix is now in echelon form:
```
| 1 5 -6 |
| 0 1 11 |
| 0 0 -27 |
```
5. Find the determinant of the echelon form matrix by multiplying the diagonal elements (pivot elements):
```
Determinant = 1 * 1 * -27 = -27
```
Your answer: The determinant of the given matrix is -27.
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what is 6.9cm *10000000m
The value of the product is 6.9 × 10⁵ m
How to determine the productIt is important to note that to determine the product of two different measurements, we need to make sure they have the same units.
Now, we have that;
6.9cm *10000000m
First, let's convert the centimeters to meters , we have;
1m = 100cm
then, xm = 6.9cm
cross multiply the values
x = 6.9/100
Divide the values
x = 6. 9 × 10⁻²m
Then, we have;
6. 9 × 10⁻² × 10⁷m
Multiply the values and add the exponents
6. 9 × 10⁻²⁺⁷
Add the values
6.9 × 10⁵ m
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Put these numbers in order starting with the smallest
Answer: -1.12, -1^(1/2), 1^(1/8), 1^(1/2), 1^(2/3), 1.12
Step-by-step explanation:
Starting with the smallest:
-1.12
-1^(1/2) (which is equal to -1)
1^(1/8) (which is equal to 1)
1^(1/2) (which is equal to 1)
1^(2/3) (which is equal to 1)
1.12
Therefore, the numbers in order from smallest to largest are: -1.12, -1, 1, 1.12.
Which situation would yield the highest amount in the account? A) Depositing $400 in an account the earns 3% interest compounded annually B) Depositing $200 in an account the earns 5% interest compounded annually for two years. C) Depositing $200 in an account the earns 5% simple interest for two years. D) Depositing $400 in an account the earns 3% simple interest for two years.
Situation (A) "$400 deposited in a savings account earning 3% yearly compound interest" would yield us the highest amount in the account.
What is compounding interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
The interest you earn on interest is known as compound interest.
Simple math may be used to demonstrate this: if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year.
You will wind up with $110.25 at the conclusion of the second year.
So, we know that anytime compound interest will make us more money than simple interest so options (C) and (D) would be wrong.
So, in option (B) we deposit $200 which is compounded for 2 years at 5%.
In option (A) we deposit $400 which is compounded at the rate of 3% and time is not given so we will assume that it will keep compounding for years and hence it will make us the most amount of money.
Therefore, situation (A) "$400 deposited in a savings account earning 3% yearly compound interest" would yield us the highest amount in the account.
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pls help (show work)
Step-by-step explanation:
okay as we know a circle is a quarter 360° in total therefore all you have to do is say 360° multiplied by 165
City Hospital reported 49 deaths in June. There were 489 discharges. Eight of those deaths occurred within 48 hours of admission. What is the gross death rate?
The gross death rate is 8.38%.
What is a Rate?
A rate is a measure of the frequency of an event or occurrence in relation to a specific population or time period. Rates are often expressed in terms of units per time or per population, such as cases per 100,000 people or births per year.
The gross death rate is the number of deaths in a given time period divided by the total population or, in this case, the total number of discharges.
To calculate the gross death rate for City Hospital in June, we need to subtract the eight deaths that occurred within 48 hours of admission from the total number of deaths:
Total deaths = 49 - 8 = 41
Then, we divide the total number of deaths (41) by the total number of discharges (489) and multiply by 100 to get the rate per 100 discharges:
Gross death rate = (41 ÷ 489) x 100 = 8.38%
Therefore, the gross death rate for City Hospital in June is 8.38%.
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Add or Subtract then complete the chart
The simplified form of the polynomial (4x² - 3x + 10) + (-9x² + 4x - 6) is -5x² + x + 4.
The constant term is the term without a variable, in this case, 4 is the constant term.
What is polynomial?
A polynomial is a mathematical expression that consists of variables and coefficients
To simplify the polynomial, we need to combine like terms. We have:
(4x² - 3x + 10) + (-9x² + 4x - 6)
= 4x² - 3x + 10 - 9x² + 4x - 6 (distributing the negative sign)
= (4x² - 9x²) + (-3x + 4x) + (10 - 6) (grouping like terms)
= -5x² + x + 4 (combining like terms)
Therefore, the simplified form of the polynomial (4x² - 3x + 10) + (-9x² + 4x - 6) is -5x² + x + 4.
In the polynomial -5x² + x + 4, the degree is 2, the leading coefficient is -5, and the constant term is 4.
The degree of a polynomial is the highest power of the variable in the polynomial, in this case, x² has the highest power of 2.
The leading coefficient is the coefficient of the term with the highest power of the variable, in this case, -5 is the coefficient of the x² term, so it is the leading coefficient.
The constant term is the term without a variable, in this case, 4 is the constant term.
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You have $910 in your checking account. You have paid $185 in bill's online, which were immediately deducted from your checking account. The following day you withdrew $30 for lunch, bought pants for $43, and purchased a gift card for $15 using your debit card. After, you returned the pants for a full refund. How much is in your checking account?
Answer:
Therefore, the answer to how much is in the checking account is $677.
Step-by-step explanation:
The amount in the checking account after all the transactions would be $677.
Here's the breakdown of the transactions:
Starting balance: $910
Bill payment: -$185
Withdrawal for lunch: -$30
Purchase of pants: -$43
Purchase of gift card: -$15
Refund for pants: +$43
Total = $910 - $185 - $30 - $43 - $15 + $43 = $677
please answer fully and explain how you got it
The sales tax is 4%. The cost of lunch is 6. 50. What is the amount of the sales tax?
The amount of the sales tax is 0.26
How to calculate the amount of sales tax?Convert tax percentage into a decimal by moving the decimal point two spaces to the left.Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.Add the sales tax value to the pre-tax value to calculate the total cost.Now, The sales tax is 4%.
The cost of lunch is 6. 50.
=> 4% of 6.50
4/ 100 × 6.50
0.04 × 6.50
=> 0.26
Hence, The amount of the sales tax is 0.26
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23. y = x + 5; (4, -3)
Answer:
y=x+5;1
Step-by-step explanation:
Hope this helps! =D
Can someone please help me with this question please
The x - coordinate of B given the y - coordinate, can be found to be 3 units.
How to find the x - coordinate ?Looking at the figure, we notice that the relationship between B and the circle can be modeled as a right triangle. 5 would be the hypotenuse, 4 which is the y - coordinate would the be the height.
The x - coordinate would then be the length which can be found by the Pythagorean theorem.
The x - coordinate is:
= 5² = 4² + x²
Simplifying the equation, we get:
25 = 16 + x²
9 = x²
x = 3
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The National Junior Honor Society made $238at their cake sale. They sold circular Shaped cakes for $7 and heart shaped cakes for $5. If they Sold twice as many heart cakes as circular ones. how many heart cakes did they sell?
The number of heart cakes that were sold at the cake sale was 28
According to the question,
Cost of circular-shaped cake = $7
Cost of heart shaped cake = $5
Total sale = $238
Let the number of circular cakes shaped be x
Since the number of heart cakes was sold twice as many as the circular cake, the number of heart cakes will be 2x
Cost of x circular-shaped cake = $7 * x
Cost of 2x heart shaped cake = $5 * 2x
Total sale = Cost of x circular cake + Cost of 2x heart cake
Thus, we get the following equation,
238 = 7x + 10x
238 = 17x
x = 14
Thus, the number of heart cakes sold was 2x that is 28.
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Label the legs of triangle PQR as a and b and label the hypotenuse c leg a has already been labeled for you
The hypotenuse is c and the other leg is b.
Given is a right triangle we need to label the sides,
The sides are =
PR = a
PQ = c
QR = b
Here, a and b are the legs and c is the hypotenuse of the given right triangle.
Hence the hypotenuse is c and the other leg is b.
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if the mean and standard deviation of a population are 436 and 103 respectively, what is the standard error of the mean for a sample of size 8?
The standard error of the mean for a sample of size 8 and population mean 436 is equals to the 36.42.
The standard error of the mean, or usually say standard error, shows how different the population mean from a sample mean. We have a population with population mean, [tex]\mu[/tex] = 436
Standard deviations for population, [tex] \sigma[/tex] = 103
Sample size, n = 8
We have to determine the value of standard error of the mean. SEM is calculated simply as dividing the standard deviation by the square root of the sample size, n. Mathematically,
[tex]SE = \frac{ \sigma}{\sqrt n}[/tex]
Substitues all known values in above formula, [tex]= \frac{ 103}{\sqrt 8}[/tex]
= 36.42
Hence, required standard error value is 36.42.
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For each equation, decide whether the line it represents is parallel to p, perpendicular to p, or
neither of these.
y=-3x + 10 is _____
y − 5 = − 1/3(x + 2) is _____
y = 1/3x is ______
-3x + y = 1 is _____
y=-3x + 10 is neither of these.
y − 5 = − 1/3(x + 2) is perpendicular to p
y = 1/3x is neither of these.
-3x + y = 1 is parallel to p
What are parallel lines?
Parallel lines are coplanar infinite straight lines in geometry that never intersect. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a fixed minimum distance between them and no contact or intersection are said to be parallel.
The line p passes through the points (2,2) and (-1,1).
The slope of the line is m = (-1-2) /(1-2)= 3.
Now compare the y=-3x + 10 with y = mx +c:
m₁ = -3, c=10
The slope of the line y=-3x + 10 is -3.
The product m and m₁ is 3 ×(-3) = -9
y=-3x + 10 is neither of these.
Rewrite the equation y − 5 = − 1/3(x + 2)
y = (− 1/3)x - (2/3) + 5
Now compare they = (− 1/3)x - (2/3) + 5 with y = mx +c:
m₂ = − 1/3, c=10
The product m and m₂ is 3 ×( − 1/3) = -1
Thus y − 5 = − 1/3(x + 2) is perpendicular to p.
Now compare the y=1/3x with y = mx +c:
m₃ = 1/3, c=0
The slope of the line y=1/3x + 10 is 1/3.
m₃≠m and mm₃ ≠ -1 , thus y=1/3x is neither of these.
Rewrite the equation -3x + y = 1
y= 3x +1
Now compare the y= 3x +1 with y = mx +c:
m₄ =3, c=1
Since m₄ = m. thus -3x + y = 1 is parallel to p.
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Evaluate the expression for = 0. 6. Write your answer as a decimal or whole number. –20 + 18. 5u =
The expression -20 + 18.5u, when u is 0.6, in a decimal or whole number is equal to -8.9.
To evaluate the expression -20 + 18.5u when u = 0.6, we simply substitute 0.6 in place of u and simplify using the order of operations (PEMDAS).
-20 + 18.5u = -20 + 18.5(0.6) (substitute 0.6 for u)
-20 + 11.1 = -8.9 (simplify using multiplication first and then addition/subtraction)
Therefore, the value of the expression when u = 0.6 is -8.9.
The order of operations is a set of rules that dictate the order in which mathematical operations should be performed to avoid ambiguity and ensure that calculations are carried out correctly. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (performed from left to right), and Addition and Subtraction (also performed from left to right).
In this case, we first multiply 18.5 and 0.6, giving us 11.1. Then, we subtract 20 from 11.1, resulting in -8.9.
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Question
The table of values shows the height of a windmill blade from the ground over time. This can be modeled by a sinusoidal function.
The table of values is attached
Which statements are true?
Select each correct answer.
The frequency of the function is 4.
The minimum value of the function is 5.8.
The amplitude of the function is 1.5.
The period of the function is 1/4.
Answer:
the amplíetude of the function is 1.5
Step-by-step explanation:
.
Solve for s. . ...................
Answer:
[tex]S = \dfrac{v^2 - u^2}{2a}[/tex]
Step-by-step explanation:
We can solve for S using algebraic manipulation.
[tex]v^2 = u^2 + 2aS[/tex]
↓ subtract [tex]u^2[/tex] from both sides
[tex]v^2 - u^2 = 2aS[/tex]
↓ divide both sides by [tex]2a[/tex]
[tex]\dfrac{v^2 - u^2}{2a} = S[/tex]
[tex]\boxed{S = \dfrac{v^2 - u^2}{2a}}[/tex]
[tex]\sf \boxed{\sf S=\dfrac{v^{2}-u^{2} }{2a}}[/tex]
Step-by-step explanation:1. Write the expression.[tex]\sf v^{2} =u^{2} +2aS[/tex]
2. Subtract "u²" from both sides of the equation.[tex]\sf v^{2}-u^{2} =u^{2} +2aS-u^{2}\\ \\v^{2}-u^{2} =2aS[/tex]
3. Dividie by "2" and "a" on both sides of the equation.[tex]\sf \dfrac{v^{2}-u^{2} }{2a} =\dfrac{2aS}{2a} \\ \\ \\\dfrac{v^{2}-u^{2} }{2a} =S\\ \\ \\\boxed{\sf S=\dfrac{v^{2}-u^{2} }{2a}}.[/tex]
-------------------------------------------------------------------------------------------------------
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A survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books. Results are shown in the table below, but some values are missing. Fill in the missing values.
Given the survey, the completed table is as follows:
Print Electronic Total
Youth 23 40 63
Adults 23 36 59
Total 46 76 122
To fill in the missing values, we can use the fact that the total number of youths is 63 and the total number of adults is 59. Thus, we can subtract the number of known values from the total to find the missing values.
For the number of youths who prefer printed books, we have:
Print + Electronic = Total
Print + ? = 63
23 + ? = 63
? = 63 - 23
? = 40
For the number of adults who prefer electronic books, we have:
Print + Electronic = Total
? + Electronic = 59
23 + Electronic = 59
Electronic = 59 - 23
Electronic = 36
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Select the correct answer.
A number is selected at random from the set (2, 3, 4.... 10). Which event, by definition, covers the entire sample space of this experiment?
O A. The number is not divisible by 5.
O B.
The number is greater than 2.
O C.
The number is neither prime nor composite.
O D.
The number is even or less than 12.
Reset
Next
G
The correct statement about the numbers is,
⇒ The number is even or less than 12.
We have to given that;
A number is selected at random from the set (2, 3, 4.... 10).
Hence, We can check all the options as;
⇒ 10 is divisible by 5
Hence, A is incorrect.
⇒ Since, 2 = 2
Hence, B is incorrect.
⇒ Since, Every numbers are less than 12 and some numbers are even.
Hence, The correct statement about the numbers is,
⇒ The number is even or less than 12.
Thus, The correct statement about the numbers is,
⇒ The number is even or less than 12.
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trigonometry question, I solved some of it got stuck at one part. please help
The simplified form of the given expression is:
(cosx * (tanx + 1) + 1) / cosx
How to simplify trigonometric identity?To solve the given expression, we can start by simplifying it using trigonometric identities.
Given expression: tanx / (1 + secx) + (1 + secx) / tanx
Step 1: Simplify denominators
We can rewrite secx as 1/cosx, and tanx as sinx/cosx. Using these identities, we get:
tanx / (1 + 1/cosx) + (1 + 1/cosx) / (sinx/cosx)
Step 2: Find the least common denominator (LCD)
The LCD is cosx, as it is the common denominator for both fractions.
Step 3: Combine the fractions
Using the LCD, we can combine the fractions:
[(tanx * cosx) + (1 + 1/cosx)(cosx)] / cosx
Step 4: Simplify the numerator
Multiplying through by cosx to simplify the numerator, we get:
[tanx * cosx + (cosx + 1)] / cosx
Step 5: Combine like terms
Combining like terms in the numerator, we get:
[tanx * cosx + cosx + 1] / cosx
Step 6: Factor out cosx
We can factor out cosx from the numerator:
cosx * (tanx + 1) + 1 / cosx
So, the simplified form of the given expression is:
(cosx * (tanx + 1) + 1) / cosx
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QUESTION IS - simplify . tanx/1+secx + 1+secx/tan x
what is the missing number. Good points
Answer:
Which number is missing?
40 38 35 31 26 20 13 5
Pattern: ( -2, -3, -4, etc)
40 - 2 = 38
38 - 3 = 35
35 - 4 = 31
31 - 5 = 26
26 - 6 = 20
20 - 7 = 13
13 - 8 = 5
Step-by-step explanation:
You're welcome.
A soft drink vendor at a popular beach analyzes his sales records and finds that if he sells xcans of soda pop in one day, his profit (in dollars) is given by P(x) 0.001x2 3x 1800 What is his maximum profit per day, and how many cans must he sell to reach the maximum profit?
The soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.
To find the maximum profit per day for the soft drink vendor, we need to use the formula P(x) = 0.001x^2 + 3x + 1800, where x is the number of cans of soda pop sold in one day.
To find the maximum profit, we need to find the vertex of the parabola represented by the profit function. The x-coordinate of the vertex is given by -b/2a, where a = 0.001 and b = 3. Plugging in these values, we get x = -3/(2*0.001) = -1500.
Since the soft drink vendor cannot sell a negative number of cans, we know that the maximum profit occurs at the closest whole number to x = -1500, which is x = 1500.
To find the maximum profit per day, we can plug in x = 1500 into the profit function:
P(1500) = 0.001(1500)^2 + 3(1500) + 1800 = $5250
Therefore, the soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.
To find the maximum profit per day and the number of cans needed to reach that profit, we'll first need to find the critical point of the given quadratic profit function, P(x) = -0.001x^2 + 3x - 1800.
Step 1: Find the derivative of P(x) with respect to x. This will give us the rate of change of profit as the number of cans sold changes.
P'(x) = -0.002x + 3
Step 2: Set the derivative equal to zero and solve for x. This will give us the critical point where the maximum profit occurs.
-0.002x + 3 = 0
x = 1500 cans
Step 3: Substitute the critical point (x = 1500) back into the profit function P(x) to find the maximum profit.
P(1500) = -0.001(1500)^2 + 3(1500) - 1800
P(1500) = $600
So, the maximum profit per day is $600, and the soft drink vendor must sell 1500 cans to reach the maximum profit.
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The maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.
The profit function for the soft drink vendor is given by:
P(x) = [tex]0.001x^2 + 3x + 1800[/tex]
To find the maximum profit, we need to find the vertex of the parabola represented by this function. The x-coordinate of the vertex can be found using the formula:
x = -b / (2a)
where a = 0.001 and b = 3. Substituting these values, we get:
x = -3 / (2 * 0.001) = -1500
Since the value of x cannot be negative in this context, we know that the maximum profit occurs at x = 1500. To find the maximum profit, we substitute this value of x into the profit function:
P(1500) =[tex]0.001(1500)^2 + 3(1500) + 1800 = $4800[/tex]
Therefore, the maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.
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Solve. Round your answer to the nearest thousandth.
Answer: 0.8982
Step-by-step explanation:
math
Answer:
x ≈ 0.898
Step-by-step explanation:
using the rule of logarithms
log [tex]x^{n}[/tex] = n log x
given
[tex]6^{x}[/tex] = 5 ( take natural logarithm ln of both sides )
ln [tex]6^{x}[/tex] = ln 5
x ln 6 = ln 5 ( divide both sides by ln 6 )
x = [tex]\frac{ln5}{ln6}[/tex] ≈ 0.898 ( to the nearest thousandth )
Which of the following sets of parametric equations represents (x - 1)2 + (y + 4)2 = 9?
the sets of parametric equation that represents (x-1)²+(y+ 4)² = 9 is:
x = 1 + 3 cosθ
y = -4 + 3 sinθ
How to the sets of parametric equation?( x -1)^2 = (r cosθ)^2
x - 1 = r cosθ
= 3 cosθ
x = 1 + 3 cosθ
y + 4 = 3 sinθ
= y = -4 + 3 sinθ
There, the sets of parametric equation that represents (x-1)²+(y+ 4)² = 9 is:
the sets of parametric equation that represents (x-1)²+(y+ 4)² = 9 is:
x = 1 + 3 cosθ
y = -4 + 3 sinθ
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