Answers
Answer:
(x - 8) (x - 7)
Step-by-step explanation:
x² - 15x + 56
Consider the form x² + bx + c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 56 and whose sum is −15.
-8, -7
Write the factored form using these integers.
(x - 8) (x - 7)
Related Questions
The following angles are given in degrees, arcminutes, and arcseconds. Rewrite them in degrees and decimal fractions of degrees.A. 2 degrees 18 ′ 36 ′′B. 36 ′ 18 ′′C. 7 degrees 59′ 59′′D. 1′E. 1′′
Answers
On solving the provided question, we can say that 1 degree = 3600 arc seconds and 1 degree = 60 arc minutes.
what is degrees ?A 160 degree angle is measured in arc minutes, often known as arcmin, arcmin, arcmin, or arc minutes (represented by the sign '). One minute is equal to 121600 revolutions, or one degree, hence one degree equals 1360 revolutions (or one complete revolution). A degree, also known as a complete angle of arc, angle of arc, or angle of arc, is a unit of measurement for plane angles in which a full rotation equals 360 degrees. A degree is sometimes referred to as an arc degree if it has an arc of 60 minutes. Since there are 360 degrees in a circle, an arc's angles make up 1/360 of its circumference.
1 degree = 3600 arc seconds
1 degree = 60 arc minutes
A. 2 degree 18'36 = 2 + 18/60 + 36 / 2600 = 231 / 100 degree
B. 36 ′ 18 ′′ = 36/60 + 18/2600 = 121 / 200 degree
C. 7 degrees 59′ 59′′ = 7 + 59 / 60 + 59 / 3600 = 28799 / 3600 degree
D. 1' = 1/60 degree
F. 1" = 1/3600 degree
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3. Jose began the day with eight Magikarps. After spending the day at the lake, he ended up with sixteen Magikarps.
Answers
We can find the percentage of increase in the number of Magikarps that Jose captured in the lake by taking the initial number of them and subtracting it from the number that he had by the end of the day, like this:
16 - 8 = 8
Now, we just have to divide 8 by 16 and then multiply by 100, like this:
\(\frac{8}{16}\times100=50\)Then, his number of Magikarps increased a 50%
please please help I just need to find the equation in slope-intercept form
Answers
Point D is located on the segment CE. IF CD = 24 and DE = x and CE - 5x, what is the measure of segment CE?
Answers
Answer:
30Step-by-step explanation:
If point D is located on the segment CE, then point C, D and E lies on the same line i.e they are collinear. Mathematically, CD+DE = CE
Given CD = 24 and DE = x and CE = 5x, on substituting this values in the equation we have;
\(24+x = 5x\\5x-x = 24\\4x = 24\\x = 24/4\\x = 6\)
Since CE = 5x, CE = 5(6) = 30
The measure of segment CE is 30
Can someone help me please
Answers
Answer:
The answer is D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Y0UR M0MWY 100KS L1KE TH1$
Answers
Answer:
NICE!!!
Step-by-step explanation:
25. Students participating in a psychology experiment attended several lectures and were
given an exam. Every month for the next year, the students were retested to see how
much of the material they remembered.
The average scores for the group are given by the human memory model,
f(t)= 90-15 log10 (t+1), 0≤ t ≤ 12 where t is the time in months. When did the
average score decrease to 75?
Answers
Using the logarithmic function, it is found that After 10 months, the score is of 74.4.
What is logarithm?When you raise a number with an exponent, there comes a result.
Lets say you get
\(a^b = c\)
The average score after t months is modeled by:
f(t)= 90-15 log10 (t+1)
The initial score is of f(0), therefore,
f(0)= 90-15 log10 (0+1),
f(0)= 90-15 log10
f(0)= 90
The initial score is of 90.
Using the logarithmic function,
After 6 months, the score is of f(6), hence:
f(6)= 90-15 log10 (6+1),
f(6)= 90-15 log10 (7)
f(6)= 77.4
After 6 months, the score is of 77.4.
After 10 months, the average score is of f(10 ), hence:
f(10)= 90-15 log10 (10+1),
f(10)= 90-15 log10 (11)
f(10)= 74.4
After 10 months, the score is of 74.4.
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The distance in the x-coordinates from A(–2, 2) to the center of dilation F(1, 1) is
unit(s).
The distance in the y-coordinates from A(–2, 2) to the center of dilation F(1, 1) is
unit(s).
The vertex A' of the image is
.
Answers
Answer:
X=3
Y=1
Step-by-step explanation:
Vertex A forms dilation F
What is the fewest number of consecutive primes, starting with 2, that when summed produce a number divisible by 7?
Answers
Answer:
5
Step-by-step explanation:
The consecutive primes starting from 2 are
2, 3, 5, 7, 11
Summing gives 2 + 3 + 5 + 7 + 11 = 28
and 28 is divisible by 7
Thus the required number of primes is 5
The fewest number of consecutive primes, starting with 2, that when summed produces a number divisible by 7 is 5.
To determine what is the fewest number of consecutive primes, starting with 2, that when summed produces a number divisible by 7, the following calculation must be performed:
2 + 3 = 5 2 + 3 + 5 = 10 2 + 3 + 5 + 7 = 17 2 + 3 + 5 + 7 + 11 = 28 28/7 = 4
Therefore, the fewest number of consecutive primes, starting with 2, that when summed produces a number divisible by 7 is 5.
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If total revenue received from the sale of \( x \) items is given by \( R(x)=40 \ln (5 x+1) \), while the total cost to produce \( x \) items is \( C(x)=\frac{x}{5} \), find the following. (a) The marginal revenue (b) The profit function P(x) (c) The marginal profit when x=80 (d) Interpret the results of part (c).
(a) How can the marginal revenue be found?
A. Find R(x/2)
B. Find the derivative of R(x).
C. Find the derivative of R(x)-C(x).
D. Find R(x)-C(x).
The marginal revenue is R'(x)=
(b) How can the profit function be found?
A. Find the derivative of R(x)-C(x).
B. Find the derivative of R(x).
C. Find R'(X)-C(x).
D. Find R(x)-C(x).
The profit function is P(x)=
(c) The marginal profit when x=80 can be found by evaluating choose one
A. Upper R prime left parenthesis 80
B.right parenthesis .
C.Upper R left parenthesis 80 right parenthesis .
d.Upper C left parenthesis 80 right parenthesis .
e.Upper C prime left parenthesis 80 right parenthesis .
f.Upper P prime left parenthesis 80 right parenthesis .
i.Upper P left parenthesis 80 right parenthesis .
The marginal profit when x=80 is =
(Type an integer or decimal rounded to the nearest tenth asneeded.)
(d) Interpret the results of part (c).
A. There is almost no additional profit when producing one more item after the 80th item.
B. There is little cost to producing more than 80th items.
C. The revenue obtained after producing the 80th item is quite small.
D. Profit is negligible when producing fewer than 80 items.
Answers
(a) How can the marginal revenue be found: B. Find the derivative of R(x).
The marginal revenue is \(R'(x) = \frac{200}{5x\;+\;1}\)
(b) How can the profit function be found: D. Find R(x) - C(x).
The profit function is P(x)= 40ln(5x + 1) - x/5.
(c) The marginal profit when x=80 can be found by evaluating: F. P'(80)
The marginal profit when x=80 is = 0.
(d) Interpret the results of part (c): A. There is almost no additional profit when producing one more item after the 80th item.
How to determine the marginal revenue?In order to determine the marginal revenue, we would take the first derivative of the revenue function, R(x) with respect to x as follows:
R(x) = 40ln(5x + 1)
R'(x) = 40ln(5x + 1)d/dx
\(R'(x) = \frac{40 \times 5}{5x\;+\;1} \\\\R'(x) = \frac{200}{5x\;+\;1}\)
Part b.
In Mathematics, the profit function, P(x) can be calculated by subtracting the cost function, C(x) from revenue function, R(x) as follows:
P(x) = R(x) - C(x)
P(x) = 40ln(5x + 1) - x/5
Part c.
The marginal profit when x=80 can be calculated by taking the first derivative of the profit function and then substituting 80 as follows;
\(P'(x) = \frac{200}{5x\;+\;1}-\frac{1}{2} \\\\P'(x) = \frac{200}{5(80)\;+\;1}-\frac{1}{2}\)
P'(80) = 0.
Part d.
Based on the calculation above, we can logically deduce that there is almost no additional profit that can be made from the production of one more item after the 80th item.
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Complete Question:
If total revenue received from the sale of x items is given by R(x)=40ln(5x + 1), while the total cost to produce x items is \(C(x)=\frac{x}{5}\), find the following.
PLEASE HELP 5 QUESTIONS MUST BE GOOD AT MATH
DO NOT ANSWER THE QUESTION ASKING A QUESTION COMMENT THE QUESTION PLEASE WILL GIVE BRAINLY ONLY IF ALL QUESTONS CORRECT
Answers
Answer:
1. B
2. A
3. B
4. D
5. C
D²y(t) + 12 Dy(t) + 36y(t) = 2 e-5t y(0) = 1, Dy(0)=0 Solve the differemtial equation using Classical Method (30pts) and Laplace Transform Method(30pts)
Answers
The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).
To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.
Using the classical method:
Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:
D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)
This gives the characteristic equation r² + 12r + 36 = 0.
Solve the characteristic equation for r by factoring or using the quadratic formula:
r² + 12r + 36 = (r + 6)(r + 6)
= 0
The repeated root is r = -6.
Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)
Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)
Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:
y(0) = c₁ = 1
Dy(0) = c₂ - 6c₁ = 0
c₂ - 6(1) = 0
c₂ = 6
The particular solution is y(t) = (1 + 6t) e^(-6t).
Using the Laplace transform method:
Take the Laplace transform of both sides of the differential equation:
L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}
s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)
Substitute the initial conditions y(0) = 1 and Dy(0) = 0:
s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)
Rearrange the equation and solve for Y(s):
(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)
Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)
Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):
\(y(t) = L^{(-1)}{Y(s)}\)
Simplifying further, the solution is:
\(y(t) = (1 + 6t) e^{(-6t)\)
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The coordinates below represent a triangle that was dilated. J(-3, -12) -->
J'(-1,-4); K(-6, -15) K'(-2,-5); L(-9, -12) --> L'(-3,-4). What was the scale
factor that was used in the dilation? *
1 point
02
1/3
2/3
Option 4
Which is the correct algebraic representation of the transformation
1 point
Answers
Answer:
1/3 is the dialation
Step-by-step explanation:
Algebraic representation is (x, y) → (kx, ky), and it is by 1/3 because -3 is 1/3 of -9 and -4 is 1/3 of -12.
In 2011, a professional climber scaled the outside of the Burj Khalifa, making it all the way to 828 meters (the highest point on which a person can stand) in 6 hours.
Answers
Answer:
276 meters in the first 2 hours
Step-by-step explanation:
Given that,
Professional climbers climb 828 meters in 6 hours.
Let us assume we need to find how far did they climb in the first 2 hours.
6 hours = 828 m
⇒ 1 hour = 138 m
So, in 2 hours,
2 hours = 138 × 2 m
= 276 m
So, the climber climb 276 meters in the first 2 hours
8.65 percent compounded monthly. (Round answer to 2 decimal places, e.g. 15.25%.) Effective annual rate \%
Answers
The effective annual rate for a 8.65% interest compounded monthly is 9.14%.
To calculate the effective annual rate, we need to take into account the compounding frequency. In this case, the interest is compounded monthly.
We can use the formula for compound interest to calculate the effective annual rate:
Effective Annual Rate = (1 + (interest rate / compounding frequency))^compounding frequency - 1
Plugging in the given values:
Effective Annual Rate = (1 + (8.65% / 12))^12 - 1
= (1 + 0.0072083)^12 - 1
= 1.0072083^12 - 1
≈ 0.0914 or 9.14%
Therefore, the effective annual rate for a 8.65% interest compounded monthly is approximately 9.14%.
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The proportional relationship between the total number of minutes, m, that mariam practices the piano after some number of days, d, can be represented by the equation m = 34dm=34d. At what rate did she practice, in minutes per day?.
Answers
The Rate at which she practices piano per day will be 34 minutes.
We know that Proportional relationships are relationships between two variables like x and y when their ratios got equivalent.
For example, \(\frac{a}{b}\) = \(\frac{c}{d}\). This is the proportional relationship between the variables, a, b, c, and d. In this a is equal to c (a = c) and b is equal to d(b = d).
In our question, the proportional relationship between total minutes (m) and the number of days (d) is given by:
m = 34d.
We need to find the rate, which can be defined as the total minutes spent on practice piano per day.
Minutes spent = m
Days = d
Rate = \(\frac{m}{d}\)
So, we know, m = 34d
\(\frac{m}{d}\) = \(\frac{34}{1}\) = 34
Hence, The rate is 34 minutes per day.
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I need help, not sure with one it is!
Answers
Answer:
A is your answer.
Step-by-step explanation:
-Hope this helped
The solution to that would be A.
Hope that helps.
Help me with this, it’s due in a bit!
Answers
Answer:
64 square centimeters
Step-by-step explanation:
The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.
Finding the triangular face:
Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)
12 * 4 (4 sides) = 48 square cm
Finding the Base = \(w * l = 4 * 4 = 16\)
Finally, we add it together. 48 + 16 = 64
Consider the function given by the graph. What are
these values?
f(-2) =
f(0) =
f(4) =
Answers
Answer:
the values of it is the first one. meaning: f(-2)
Answer:
Step-by-step explanation:
2
3
-1
Alicia borrowed $3000 from a bike at a rate of 12% simple interest per year how much interest did she pay in four years
Answers
Answer:
$1440
Step-by-step explanation:
$3000 (12%) = 360
360 x 4 = 1440
Hope this helps!
What is the importance and advantage of using graph representation when organizing your data?
Answers
The importance and advantage of using graph representation when organizing your data are that it makes data presentable, summarizing, better way of comparison of data.
An organized diagram or pictorial representation of the relationship between values or data is referred to as a graph. it is a a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.
The following are the three advantages of graphs:
It makes data look good and makes it easy to understand.It helps to concisely summarize the data.Better data comparison is made possible by it.Know more about graphs here: https://brainly.com/question/17267403
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10x+2y=-30 x and y intercept
Answers
which number is rational?
Answers
Answer:
Number 3
Step-by-step explanation:
what is the area of the shaded region?
Answers
Answer:
The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. The area of the shaded part can occur in two ways in polygons.
Step-by-step explanation:
Observe that the area of the unshaded region is equal to the area of the shaded region subtracted from the area of the rectangle, i.e. . ar(Unshaded) = ar(ABCD) – ar(Shaded).
please give me brainlist!
42 push ups in 3 minutes. Preform unit rate. How many can she do in five minutes?
Answers
Answer:
70 pushups in 5 mins.
Step-by-step explanation:
42 ÷ 3 = 14
So you can do 14 pushups in one minute.
14 × 5 = 70
good luck, i hope this helps :)
Use triangles to find the sum of the interior angle measures of the polygon.
Answers
Answer:
360 degrees
Step-by-step explanation:
2 90 degress triangles 180= 1 triangle 360=2 triangles since there is 2 we can conclude that it is 360 degrees
You have a bag of poker chips, containing 2 white, 1 red, and 3 blue chips. White chips are worth $1, red chips are worth $3 and blue chips are worth $5. You need $7 worth of chips in order to see someone’s raise, so you take chips out of the bag one at a time, noting the color of each one as it’s removed, and stop when the total value of the chips removed is at least $7. How many sequences of chip colors are possible when you do this?
Answers
There are 144 possible sequences of chip colors.
How many sequences of chip colors are possibleWe can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.
Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:
If the first chip is a white chip, then we need to draw chips worth $6 more in order to reach $7. We can draw any combination of the remaining 5 chips to get a total value of $6 or more. There are 2 white, 1 red, and 3 blue chips remaining, so there are 2^5 = 32 possible combinations.If the first chip is a red chip, then we need to draw chips worth $4 more in order to reach $7. We can draw any combination of the remaining 5 chips to get a total value of $4 or more. There are 2 white, 1 red, and 3 blue chips remaining, so there are 2^5 = 32 possible combinations.If the first chip is a blue chip, then we need to draw chips worth $2 more in order to reach $7. We can draw any combination of the remaining 5 chips to get a total value of $2 or more. There are 2 white, 1 red, and 2 blue chips remaining, so there are 2^4 = 16 possible combinations.Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144
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the largest interior angle in an isosceles trapezoid is 4 times the measure of the smallest interior angle. what is the measure, in degrees, of the smallest interior angle in the trapezoid?
Answers
The measure of the smallest interior angle in the isosceles trapezoid is 36 degrees.
In an isosceles trapezoid, the two non-parallel sides are congruent, which means they have the same length. Let's denote the measure of the smallest interior angle as x degrees. According to the given information, the largest interior angle is 4 times the measure of the smallest interior angle.
We can set up the equation:
4x = 180 - 2x
Simplifying the equation:
4x + 2x = 180
6x = 180
Dividing both sides of the equation by 6:
x = 30
Therefore, the measure of the smallest interior angle in the isosceles trapezoid is 30 degrees.
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Type an essay response to the following prompt. Completely explain all parts of your response in your essay.
1) In your words, write a definition for sales tax. 2) if you buy a meal from a restaurant that cost $15.00, and the tax is 7% how much do you pay in taxes? Explain in detail the steps you would take to solve this tax question
Answers
You paid $16.05 with taxes for a meal.
The definition of the sales tax is given below.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
1) If you buy a meal from a restaurant that cost $15.00, and the tax is 7%,
then the amount of the tax is,
= 15 x 7 / 100
= $1.05
2) The sales tax:
The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a traditional sales tax is imposed, collected by the shop, and forwarded to the government.
Therefore, the taxed amount is $1.05.
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an objective of engineering analysis is to confirm the model behaves in the manner we expected it to, true or false?
Answers
The given statement "An objective of engineering analysis is to confirm the model behaves in the manner we expected it to" is False because identifying the problems is also an objective.
While confirming the expected behavior of a model is a part of engineering analysis, it is not the sole objective. The main objective of engineering analysis is to use mathematical and scientific principles to design, evaluate, and optimize engineering systems and components.
This involves creating mathematical models of the system or component and using various analysis methods to understand and improve its behavior.
In addition to confirming the expected behavior, engineering analysis also involves identifying and understanding potential problems or limitations of the system, determining the effects of different design parameters, and assessing the system's performance under different conditions.
The results of the analysis can then be used to make informed decisions about design modifications or improvements to achieve the desired performance or behavior. Therefore, while confirming expected behavior is important, it is only one aspect of the broader objective of engineering analysis.
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