the set of points (-3,4), (-1,1), (-3.-2), and (-5,1) identifies the vertices of a quadrilateral. which is the most specific describtion to tell which figure the points form?
what is 7 × (12 + 8) - 6=
can u show me common core way how to get the answer to this problem 4 1/5. ×4 3/8
it is given that ln(y+1) - ln(y) = 1+3ln(x) . express y in terms of x in a form not involving logarithms
We transformed the logarithmic equation ln(y+1) - ln(y) = 1 + 3ln(x) into an algebraic expression, resulting in y = 1 / (e × [tex]x^3[/tex] - 1).
To express y in terms of x from the given equation ln(y+1) - ln(y) = 1 + 3ln(x), we can follow these steps:
Apply the logarithm property ln(a) - ln(b) = ln(a/b): ln((y+1)/y) = 1 + 3ln(x).Rewrite the right-hand side using exponentiation: ln((y+1)/y) = ln(e) + 3ln(x) = ln(e × [tex]x^3[/tex]).Since the natural logarithms are equal, set their arguments equal to get the equation without logarithms: (y+1)/y = e × [tex]x^3[/tex].Isolate y by solving the above equation: y + 1 = y × e × [tex]x^3[/tex], hence y = 1 / (e × [tex]x^3[/tex] - 1).This gives us the final expression of y in terms of x without involving logarithms.
how to set the answer up
Let s and g represents the numbers of suits and gowns produced.
The number of zippers used is 2s+g.
The number of buttons used is 5s+8g.
In order to use all of the available zippers and buttons, we must have ...
2s + g = 1715s + 8g = 576Cramer's rule tells you the solution to the system
ax +by = cdx +ey = fIs given by
x = (bf-ey)/(bd-ea)y = (cd-fa)/(bd-ea)Using this rule on the equations for zippers and buttons, we have
... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72
... g = (171·5 -2·576)/-11 = -297/-11 = 27
72 suits and 27 gowns can be made from available zippers and buttons.
How much interest is earned on $269 at 10% for five years?
The simple interest can be calculated using the formula:
[tex] I = \frac{PRT}{100} [/tex]
We are given :
Principal = $269
Rate of interest = 10%
Time = 5 years
Plugging the values in the formula:
[tex] I = \frac{269*10*5}{100} [/tex]
Interest = $134.5
The interest on the principal amount in 5 years at the rate of 5% will be equal to $134.5.
What is Simple interest?A quick and simple way to figure out interest on that money is to use the simple interest approach, which adds interest at the same rate for each daily cycle, and it is to the initial principal amount.
A way to figure out how much interest will be charged on an amount of money at a specific rate and for a specific duration of time is by using simple interest.
As per the question, the given data is,
Principle, P = $269
Rate, T = 10%
Time, T = 5 years
[tex]SI =(P*R*T)/100[/tex]
SI = (269 ×10 × 5)/100
SI = $134.5
Therefore, the interest earned in 5 years is $134.5.
To know more about Simple interest:
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You are a builder and need to submit an estimate to a customer for remodeling a bathroom. Your project costs are $451.75 for labor, $332.52 for materials and $289.12 for subcontracting for plumbing. Round these amounts to whole numbers to estimate the cost of the total project.
Miguel ordered a rectangular print for his bedroom. The print is 78 feet wide and 135 feet long.
What is the area of the print?
The shorter leg of a 30°-60°-90° triangle measures 3 inches. What is the length of the hypotenuse?
A. 6 inches
B. 3sqrt3 inches
C. 9 inches
D. 6sqrt3 inches
Which statement about the following argument is true?
Argument:
If it snows, the roads will get slippery.
It's snowing.
Therefore, the roads are slippery.
A:The argument is valid by the Law of Syllogism.
B: The argument is valid by the Law of Detachment.
C: The argument is invalid.
D: The argument is valid but does not follow the Law of Syllogism or the Law of Detachment.
According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?
Answer:
All the potential root of f(x) are [tex]\pm 1,\pm7, \pm \frac{1}{3},\pm \frac{7}{3}, \pm \frac{1}{9},\pm \frac{7}{9}[/tex].
Step-by-step explanation:
According to the rational root theorem, all the potential root of f(x) are defined as
[tex]x=\pm\frac{p}{q}[/tex]
Where, p is factor of constant term and q is factor of leading coefficient.
The given function is
[tex]f(x)=9x^8+9x^6-12x+7[/tex]
Here, constant term is 7 and leading coefficient is 9.
Factors of 7 are ±1, ±7 and the factors of 9 are ±1, ±3, ±9.
Using rational root theorem, all the potential root of f(x) are
[tex]x=\pm 1,\pm7, \pm \frac{1}{3},\pm \frac{7}{3}, \pm \frac{1}{9},\pm \frac{7}{9}[/tex]
Therefore all the potential root of f(x) are [tex]\pm 1,\pm7, \pm \frac{1}{3},\pm \frac{7}{3}, \pm \frac{1}{9},\pm \frac{7}{9}[/tex].
(Will give Brainliest/5 Stars if correct answer)
Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 4>, v = <9, -9>
A) 81.6°
B) 25.8°
C) 35.8°
D) 71.6°
Answer:
71.6°
Step-by-step explanation:
arctan(4/8) - arctan(-9/9) = 26.57° - (-45°) ≈ 71.6°
David was looking at his limousine bill and saw that the total number of miles he has ridden in the car was tracked, as shown below: Month Miles 5 580 6 695 7 810 8 925 The function representing David's miles per month is f(m) = 115m + 5. What does the 115 represent?
The number of additional miles each month.
The price of a bicycle was increased from $300 to $450. What percent of the original price is the increased price?
The percentage increase is 50% than the original price.
The price of a bicycle was increased from $300 to $450. What percent of the original price is the increased price?
Calculate the increase: $450 - $300 = $150.
Calculate the percentage increase: ($150 / $300) x 100% = 50%.
When 18 boys joined a group of why students, the ratio of boys to girls in the group became 4 : 5. Write an algebraic expression for the number of girls in terms of Y.
This is a question from my homework "Rosina finds a pair of shorts on the sale rack for $12.50. This price reflects a discount of 60%. What is the original price of the shorts? What is the amount of the discount?"
Here is a list of ingredients for making cherry scones: Makes 8 cherry scones 200 grams flour 60 grams margarine 40 grams sugar 60 grams cherries 160 ml milk Sophie has 80 grams of sugar and 300 grams of flour. She has plenty of the other ingredients. What is the greatest number of cherry scones she can make?
what is the best definition for marginal cost?
Marginal cost is the additional cost incurred when producing one extra unit of a good or service.
Marginal Cost: Marginal cost is the change in total cost that occurs when the quantity produced is increased by one unit. It represents the cost of producing one more unit of a good, encompassing all additional costs required for that extra unit.
Example: If producing one more car necessitates building an additional factory, the marginal cost includes all costs associated with setting up the new factory.
Marginal cost is the additional cost of producing one more unit of a good or service.
To calculate marginal cost, you divide the change in total cost by the change in the quantity produced. Mathematically, it can be expressed as:
Marginal Cost = (Change in Total Cost) / (Change in Quantity)
This concept is crucial in economics and business for decision-making purposes. It helps firms determine the cost-effectiveness of increasing or decreasing production levels.
For instance, if a company is considering expanding its production, understanding the marginal cost allows it to assess whether the additional revenue from selling more units will outweigh the additional costs incurred.
It is also used to make pricing decisions and optimize resource allocation. In summary, marginal cost provides insight into how production decisions impact overall costs and profitability.
What is 8587 divided by 12
Miss Cohan purchased a bottle of vitamins for $7.99 a bottle of aspirin for $6.49 and a bottle of mouthwash for $2.99 she gave the clerk two $10 bills how much change did she receive
A company invests a total of $40 comma 00040,000 of surplus funds at two annual rates of interest: 55% and 66one half 1 2%. It wishes an annual yield of no less than 6one fourth 1 4%. What is the least amount of money that the company must invest at the 66one half 1 2% rate? The company should invest at least how much money
at 66one half 1 2%.
Prove: tan(x-y)+tan(y-z)+tan(z-x)=tan(x-y)tan(y-z)tan(z-x)
Paul and jose are trying to measure the height of a tree. paul is standing 19m from the foot of the tree and measures the angle of elevation to the top of the tree to be 59o. jose measures it to be 43o, how far is jose from the base of the tree?
If a one dollar bill is 0.0001 meters thick, how many meters tall would a stack of 4 trillion one dollar bills be?
Answer:
[tex]4*10^{8}\text{ meters}=400,000,000\text{ meters}[/tex].
Step-by-step explanation:
We have been given that a one dollar bill is 0.0001 meters thick. We are asked to find the height of a stack of 4 trillion one dollar bills.
We know that [tex]\text{1 trillion}=10^{12}[/tex]. To find the thickness of a stack of 4 trillion one dollar bills we will multiply 0.0001 by 4 trillion.
Let us convert 0.0001 into scientific notation as:
[tex]0.0001=1\times 10^{-4}[/tex]
[tex]\text{The height of 4 trillion one dollar bills}=4*10^{12}\times 1\times 10^{-4}\text{ meters}[/tex]
Using exponent property [tex]a^b\times a^c=a^{b+c}[/tex] we will get,
[tex]\text{The height of 4 trillion one dollar bills}=4*10^{12-4}\text{ meters}[/tex]
[tex]\text{The height of 4 trillion one dollar bills}=4*10^{8}\text{ meters}=400,000,000\text{ meters}[/tex]
Therefore, the stack of 4 trillion one dollar bills would be [tex]4*10^{8}\text{ meters}=400,000,000\text{ meters}[/tex].
Annie's cafe borrows $6100 at 6% for 290 days. Find the total amount that must be repaid after 290 days. (Use a 365 day year.)
The total amount that must be repaid after 290 days is $6330.67.
Explanation:To find the total amount that must be repaid after 290 days, we can use the formula:
Amount = Principal + Interest
Principal is the amount borrowed, which is $6100. Interest is calculated using the formula:
Interest = Principal * Rate * Time
Since the loan is for 290 days, we need to convert it to years by dividing by 365:
Time = 290/365 = 0.7945 years
Plugging in the values, the interest is:
Interest = 6100 * 0.06 * 0.7945 = $230.67
Adding the principal and interest together, the total amount to be repaid is:
Total Amount = Principal + Interest = $6100 + $230.67 = $6330.67
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Which is not a characteristic of an exponential parent function?
A. The range is positive real numbers (y > 0).
B. The domain is all real numbers.
C. It goes through the origin.
D. It passes through (0, 1).
Answer:C. It goes through the origin
Step-by-step explanation:
Answer:
Option C) It goes through the origin.
This is the wrong statement about the parent exponential function.
Step-by-step explanation:
We are given the following:
The characteristic of exponential parent function:
[tex]f(x) = y = b^x\\\text{where b is the base}[/tex]
A) True
The range is all positive number that is y > 0
Range can never be negative.
B) True
The domain is all real number.
C) False
It does not pass through origin.
[tex]y = f(0) = b^0 = 1[/tex]
D) True
It always passes through (0,1) as shown above.
I have no idea how to do this equation, please help
Evaluate the expression.
r = <9, -7, -1>, v = <2, 2, -2>, w = <-5, -2, 6>
v ⋅ w
A) <-18, 14, -2>
B) -26
C) 1
D) <-10, -4, -12>
the above person lied and used bots for 5 star ratings the real answer is 6.
Evaluate the expression.
r = <9, -7, -1>, v = <2, 2, -2>, w = <-5, -2, 6>
v ⋅ r (3 points)
<18, -14, 2>
You Answered -26
1
Correct Answer 6
Find the expected number of pairs of different people, a and b, such that a picks b's name and b picks a's name. g
There are 96 raisins and 24 cashews in each package of granola. What is the unit rate in raisins per cashew?
4
12
20
96