Heya, how are you doing today ^-^
The monthly sale (in thousands of units) for the tth month after the introduction of a product in the market is given by S = 135t/(t2 + 50). In which earliest month would the sale (S) have been 9?
Answer: 3rd month
Step-by-step explanation:
S = 135t/(t2 + 50)
9=135t/(2t + 50)
9(2t+50)=135t
18t+450=135t
450=117t
t=3.85 ==> t=3rd month
Write this number in standard form 3 thousands, 16 tens,7 ones
Please answer the screenshot.
Answer:
Brooke and Tony
Step-by-step explanation:
multiply by 4 Brooke got 64 Tony got 68.
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Answer:
Okay, based on your previous question and the analysis, the 3 statements that are true about the function f(x) = x2 – 5x + 12 and its graph are:
The graph of the function is a parabola.
The graph contains the point (0, 0).
So the options you should select are:
2) The graph of the function is a parabola.
The graph contains the point (0, 0).
Let me know if selecting options 2 and 5 makes sense! I can provide any additional details or clarification if needed.
Please let me know if you have any other questions! I'm happy to help explain any other concepts related to this quadratic function and its graph.
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 .The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Okay, just to reiterate, based on the previous analysis, the 3 statements that are TRUE about the quadratic function f(x) = x2 – 5x + 12 and its graph are:
The graph of the function is a parabola. (true)
The graph contains the point (0, 0). (true)
The graph of the function opens down. (false, unknown without seeing graph)
The value of f(–10) = 82 (false)
The graph contains the point (20, –8). (false)
So you should select options:
2) The graph of the function is a parabola.
The graph contains the point (0, 0).
Please let me know if selecting these 3 options makes sense and matches the analysis. I can re-explain anything if needed.
Your selected options should be:
2) The graph of the function is a parabola.
The graph contains the point (0, 0).
The graph of the function opens down.
Let me know if these look correct or if you have any other questions! I'm happy to help explain further or go over any part of the analysis.
Please select options 2, 5 and 3 as the statements that are true about the quadratic function and its graph.
Step-by-step explanation:
5 Vera is a shop manager. 5 She has this information about the income in her shop for eight weeks this year. Week 1 2. 3 4 5 6 7 8 Income (thousands of £) 53.5 42.3 39.8 45.1 52.4 19.4 47.9 42.5 The median income for the same eight weeks last year was £49 300 Vera knows that the median income for these eight weeks has decreased this year compared to last year. (a) Work out the percentage decrease of the median income. Give your answer to 2 decimal places.
Using the median concept, it is found that it suffered a 11.16% decrease.
What is the median of a data-set?It is the 50th percentile of the data-set, which is the value that separates the lower 50% from the upper 50%.
In this problem, the ordered data-set, in thousands of £, is given by:
{19.4, 39.8, 42.3, 42.5, 45.1, 47.9, 52.4, 53.5}
It has even cardinality, hence the median is the mean of the 8/2 = 4th and 5th terms, so:
M = (42.5 + 45.1)/2 = £43800.
It decreased from £49300 last year. The percentage decrease is the change divided by initial amount and multiplied by 100%, hence:
P = (49300 - 43800)/49300 x 100% = 11.16%.
More can be learned about the median concept at https://brainly.com/question/25215461
Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
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Which equation is equivalent to the given equation?
x²- 10x = 14
-
(x - 10)² =-86
(x - 5)² = 39
(x - 5)²= = -11
(x-10)²= 114
can you help please I have no clue
Answer:
6, 15, 24, 33
Step-by-step explanation:
Basically, the number on top of the sigma represents the number of terms total in that sequence, and on the right you have the equation in which you can plug in whichever value that falls into what the top number says to find the output. In other words, just plug in 1 for k to find a1, 2 for k to find a2, etc.
Hope that helps!
You collect test scores on four members of a population which you can safely assume is approximately Normally distributed and test the hypotheses 0 : 100 : 100 H versus H µ µ = > a . You obtain a P-value of 0.052. Which of the following statements is true?
Answer:
0.052 > 0.05, which means that there is not significant evidence that the population mean is less than a.
Step-by-step explanation:
At the null hypothesis, we test if:
\(H_0: \mu \geq a\)
At the alternative hypothesis, we test if:
\(H_1: \mu < a\)
Standard significance level of 0.05:
If the p-value > 0.05: no significant evidence that the population mean is less than a.
p-value < 0.05: significant evidence that the population mean is less than a.
You obtain a P-value of 0.052. Which of the following statements is true?
0.052 > 0.05, which means that there is not significant evidence that the population mean is less than a.
4.
X =
x
16
60°
_____y=_
-
y
Answer: what the hell the happened
Step-by-step explanation:
Find an equation of a line with slope m=−2/5 that contains the point (10,−5). Type your answer is slope-intercept form.
The equation of a line in slope intercept form with slope (-2/3) and point (10,-5) is y = (-2/3) - 1.
What is the slope?The slope is the rate of change of y-axis with respect to x-axis.
We know that equation of a line in slope intercept form is y = mx + b.
To find the y-intercept b we will substitute the value of m and point (x,y).
∴ The equation of the line in slope intercept form with slope -2/5 and points (10,-5) is,
-5 = -(2/5)×10 + b.
-5 = -4 + b.
b = -1.
So the given equation of the line is y = (-2/3)x - 1.
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-2/5= -1/3m + 3/5
Solve please
I need help asap please
Answer:
127.1
Step-by-step explanation:
This is easy, if you see the hundredth 0.07, that is above 5 so it rounds up to become 0.1 tenth, normally we check for things like 0.003 in the thousandth, but here it is less than 5 so it does nothing, not to mention it wouldnt change the outcome
HELP ILL MARK BRAINLIEST
The sum f(x) + g(x) is (x³ + 16x² + 6x - 99) / (x²-9)(x² + 3x) and the type of discontinuity for f(x) at x = ±3 is a removable discontinuity, and for g(x) at x = 0, it is an infinite discontinuity or vertical asymptote.
To find f(x) + g(x), we need to add the two functions together:
f(x) + g(x) = (x+2)/(x²-9) + 11/(x²+3x)
To add these fractions, we need a common denominator.
The common denominator in this case is (x² - 9)(x² + 3x), which is the product of the denominators.
Rewriting the fractions with the common denominator, we have:
f(x) + g(x) = [(x+2)(x² + 3x)]/[(x²-9)(x² + 3x)] + [11(x²-9)]/[(x²-9)(x² + 3x)]
Combining the fractions, we have:
f(x) + g(x) = [(x+2)(x² + 3x) + 11(x²-9)]/[(x²-9)(x² + 3x)]
Simplifying the numerator:
[(x+2)(x² + 3x) + 11(x²-9)] = (x³ + 5x² + 6x + 11x² - 99)
= (x³ + 16x² + 6x - 99)
Therefore, the sum f(x) + g(x) is (x³ + 16x² + 6x - 99) / (x²-9)(x² + 3x).
The excluded values for the function f(x) are x = ±3, and for the function g(x), the excluded value is x = 0.
The type of discontinuity for f(x) at x = ±3 is a removable discontinuity, and for g(x) at x = 0, it is an infinite discontinuity or vertical asymptote.
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Find the area of the shape
The area of the given figure is 27.5 square centimeter which has a rectangle and triangles
The given figure has a rectangle and triangles
The area of rectangle is length times width
Area of rectangle =5×4
=20 square centimeter
Area of triangle =1/2×base×height
=1/2×2.5×3
=7.5/2
=3.75 square centimeter
As there are two triangle = 2(3.75)
=7.5 square centimeter
Total area = 7.5+ 20
=27.5 square centimeter
Hence, the area of the given figure is 27.5 square centimeter
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a product p and six is wrtten as
Answer:
6p
Step-by-step explanation:
Answer: 6p
Explanation: The word "product" is a
keyword that tells us to use multiplication.
So your answer can be written as 6 · p or just 6p.
Don't write your answer as p6.
Even though it's technically correct, I would always put
the number before the variable as a matter of form.
Find the value of r. 4(x – 3) -5 + 2x = 5(3x - 7) – 9.2
Answer:
Step-by-step explanation:
Calculate the FINAL BALANCE:
Principal = $26,900 Rate = 6%
Time = 3 years
The final balance is $31742.
What is the simple interest?The borrowing amount is just the principal amount plus the borrowing amount.
We have,
Principal = $26,900
Rate = 6%
Time = 3 years
The formula to calculate the simple interest is S.I. = P x T x R / 100,
Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.
Substituting all the values in the formula,
S.I. = 26900 x 3 x 6 / 100
= 484200 / 100
= $4842
The final balance
= $26,900 + $4842
= $31742
Therefore, $31742 is the final balance.
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You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?
Answer:
Step-by-step explanation:
total interest paid is given as $4,643.46.
total payments = $429.95 x 36 months = $15,478.20
total lease payments = total payments - total interest
total lease payments = $15,478.20 - $4,643.46 = $10,834.74
Remaining balance = Total cost of the lease - Total lease payments
$23,495 - $10,834.74 = $12,660.26
**BRAINLIEST** TO WHOEVER ANSWERS CORRECTLY! PLEASE HELP ME!
- During a certain time of year, the daily temperature in a certain city, in degrees Celsius follows a periodic pattern. The graph below shows the temperature over two days, where time t is measured in hours after 12:00 a.m. (midnight) on the first day.
- Write an equation for the graph below in terms of Y (temperature in degrees Celsius) and T (time in hours) to represent the given context.
ANSWER SHOULD BE IN THIS FORM
y = ( a ) sin ( b ) (t - h) + k
GRAPH IS GIVEN BELOW PLEASE HELP ME OUT!
Answer:
y = A cos B(x - C) + D
Step-by-step explanation:
The equation for the graph given in terms of Y(temperature in degrees Celsius) and T(time in hours) is -
y = √180 sin (π/12.5)(t - 25) + 12
What is the general equation of a sinusoidal wave?The sinusoidal wave is of the form -
y{x} = A sin (ωt - kx + Ф)
Given is that during a certain time of year, the daily temperature in a certain city (in degrees Celsius) follows a periodic pattern.
We can write the amplitude as -
A = √(18 - 12)² + (13 - 1)²
A = √(36 + 144)
A = √180 ... { 1 }
{K} = 12 ... { 2 }
The time taken to complete one complete wave is 25 hours. So, we can write -
{T} = 25 ... { 3 }
ω = 2π/T = 2π/25 = π/12.5
{ω} = π/12.5 ... { 4 }
So, we can write the equation as -
y = √180 sin (π/12.5)(t - 25) + 12
Therefore, the equation for the graph given in terms of Y(temperature in degrees Celsius) and T(time in hours) is -
y = √180 sin (π/12.5)(t - 25) + 12
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Find the equation of the line parallel to y= -1/3x+5 that goes through the point (9,-1)
Answer:
y = - \(\frac{1}{3}\) x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - \(\frac{1}{3}\) x + 5 ← is in slope- intercept form
with slope m = - \(\frac{1}{3}\)
• Parallel lines have equal slopes , then
y = - \(\frac{1}{3}\) x + c ← is the partial equation
to find c substitute (9, - 1 ) into the partial equation
- 1 = - \(\frac{1}{3}\) (9) + c = - 3 + c ( add 3 to both sides )
2 = c
y = - \(\frac{1}{3}\) x + 2 ← equation of parallel line
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
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Can someone help please will give brainliest
Answer:
-π, π, 5π/6
Step-by-step explanation:
cos(θ) negative, θ is in II or III quadrants
so the answers are:
-π, π, 5π/6
(note cos(3π/2) = 0, not negative)
If x varies inversely as y and x = 24 when y = 4, find x when y = 12.
what that makes no sense
Determine the domain and range of the following
[(-3,9),(2,4),(-1,1),(0,0),(1,1)]
Domain:
Range:
In the number 725.78, how does the value of the 7 in the tenths place compare to the value of the 7 in the hundreds place?
Answer:
C. 1/1,000
Step-by-step explanation:
yes or no ?
The members of the art club are making keychains that require 18 beads apiece. The art club adviser brought a bag with 250 beads for them to use.
they can make 14 Keychains
Which of the following expressions are equivalent to -9/j?
A: 9/-j
B: - -9/j
C: none of the above
Answer:
A
Step-by-step explanation:
-9/j is the same as 9/-j
A vehicle uses 2.3 gallons of gas when driven 48.3 miles. . How many miles can the vehicle go if it uses only 1 gallon of gas?
I need help on this question
~Denki Kaminari here~
Answer:
5t\sqrt(6su) (THE SECOND ONE)
Step-by-step explanation:
simplify the radical by breaking it up into known factors, assuming positive real numbers.
hope this helps :D