Question 10 of 24
What is the quotient of the polynomials shown below?
(6x2 +8x2 +16) = (2x+4)
A. 3x2 + 2x - 4
B. 3x2 - 2x+4
O C. 3x2 - 4x+2
D. 3x2 + 4x-2
Answers
Related Questions
Solving a system of linear equations by substitution
8x-1/3y=0
12x+3=y
Answers
Answer: (1/4 , 6)
Step-by-step explanation:
we substitute y = 12x + 3 with 8x - 1/3y = 0 y's so
8x - 1/3(12x+3) = 0 now distribute -1/3 to (12x + 3)
8x - 4x - 1 = 0 add 1 on both sides and subtract 4x with 8x
4x = 1 divide 4 to isolate x
x = 1/4
input 1/4 into the x of y = 12x + 3
y = 12(1/4) + 3
y = 3 + 3 = 6
(x , y) -> (1/4,6)
a slice of a pie weighs 8 ounces. how many pounds do 6 slices of pie weigh? (2 points)2 pounds3 pounds4 pounds5 pounds
Answers
Answer:
3 Pounds
Step-by-step explanation:
If 1 slice of pie = 8 ounces that means that 6 slices would be 48 ounces because of 6 slices * 8 ounces. Now we have to take the 48 ounces and divide them by 16 because 16 ounces = 1 pound. And in doing so, 6 slices would = 3 Pounds.
The sum of the two digits of a number is 9. If the tens digit is one-half the units digit, what is the number?
Let t = the tens digit, u = the units digit, and t+u = 9. Which of the following equations would complete the system?
t-u=1/2
t=1/2u
u=1/2t
Answers
Answer:
t=1/2u
Step-by-step explanation:
Since t=tens digit and u=units digit, as given in the equation that means that t+u=9. Since the tens digit is one-half the units digit that means: \(t=\frac{1}{2}u\) since it's one half the units digit.
Answer the following True or False. If \( \int_{a}^{b} f(x) d x=0 \) and \( f(x) \) is continuous, then \( a=b \). True False
Answers
The answer is , it can be concluded that if \(\(\int_a^bf(x)dx=0\)\)and (f(x)) is continuous, then (a=b) is a statement that is True.
The statement, "If\(\(\int_a^bf(x)dx=0\)\) and \(\(f(x)\)\) is continuous, then (a=b) is a statement that is True.
If\(\(\int_a^bf(x)dx=0\)\)and (f(x)) is continuous, then this means that the area under the curve is equal to 0.
The reason that the integral is equal to zero can be seen graphically, since the areas above and below the (x)-axis must cancel out to result in an integral of 0.
Since (f(x)) is a continuous function, it doesn't have any jump discontinuities on the interval ([a,b]),
which means that it is either always positive, always negative, or 0.
This rules out the possibility that there are two areas of opposite sign that can cancel out in order to make the integral equal to zero.
Thus, if the area under the curve is equal to zero, then the curve must lie entirely on the (x)-axis,
which means that the only way for this to happen is if \(a=b\).
Hence, it can be concluded that if \(\(\int_a^bf(x)dx=0\)\)and (f(x)) is continuous, then (a=b) is a statement that is True.
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Theorem 7.1.2 (Calculations with the Fourier transform)
Given f € L¹(R), the following hold:
(i) If f is an even function, then
f(y) = 2 [infinity]J0 f(x) cos(2πxy)dx.
(ii) If f is an odd function, then
f(y) = -2i [infinity]J0 f(x) sin(2πxy)dx.
Answers
(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.
(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.
The Fourier transform pair for a function f(x) is defined as follows:
F(k) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx
f(x) = (1/2π) ∫[-∞,∞] F(k) \(e^{2\pi iyx}\) dk
Now let's prove the given properties:
(i) If f is an even function, then f(y) = 2∫[0,∞] f(x) cos(2πxy) dx.
To prove this, we start with the Fourier transform pair and substitute y for k in the Fourier transform of f(x):
F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx
Since f(x) is even, we can rewrite the integral as follows:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[-∞,0] f(x) \(e^{2\pi iyx}\) dx
Since f(x) is even, f(x) = f(-x), and by substituting -x for x in the second integral, we get:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[0,∞] f(-x) \(e^{2\pi iyx}\)dx
Using the property that cos(x) = (\(e^{ ix}\) + \(e^{- ix}\))/2, we can rewrite the above expression as:
F(y) = ∫[0,∞] f(x) (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dx
Now, using the definition of the inverse Fourier transform, we can write f(y) as follows:
f(y) = (1/2π) ∫[-∞,∞] F(y) \(e^{2\pi iyx}\) dy
Substituting F(y) with the expression derived above:
f(y) = (1/2π) ∫[-∞,∞] ∫[0,∞] f(x) \(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\)/2 dx dy
Interchanging the order of integration and evaluating the integral with respect to y, we get:
f(y) = (1/2π) ∫[0,∞] f(x) ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy dx
Since ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy = 2πδ(x), where δ(x) is the Dirac delta function, we have:
f(y) = (1/2) ∫[0,∞] f(x) 2πδ(x) dx
f(y) = 2 ∫[0,∞] f(x) δ(x) dx
f(y) = 2f(0) (since the Dirac delta function evaluates to 1 at x=0)
Therefore, f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx, which proves property (i).
(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.
The proof for this property follows a similar approach as the one for even functions.
Starting with the Fourier transform pair and substituting y for k in the Fourier transform of f(x):
F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx
Since f(x) is odd, we can rewrite the integral as follows:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx - ∫[-∞,0] f(x) \(e^{-2\pi iyx}\) dx
Using the property that sin(x) = (\(e^{ ix}\) - \(e^{-ix}\))/2i, we can rewrite the above expression as:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) - \(e^{2\pi iyx}\)/2i dx
Now, following the same steps as in the proof for even functions, we can show that
f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx
This completes the proof of property (ii).
In summary:
(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.
(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.
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I need help wit this problem
Answers
Answer: -19.35
Step-by-step explanation:
At a school fair Calie buys 15 raffle tickets for $45. What is the unit rate? (cost per ticket)
Answer: Calie pays _____ $
per ticket.
Answers
Answer:
Calie pays $3 per ticket.
Step-by-step explanation:
$45/15 ticket
= $3/1 ticket
A constant force of 56 pounds is applied at an angle of 35º to pull a 16 foot metal door shut. How much work is done?
a
513.9 ft-lbs
b
734.0 ft-lbs
c
−383.7 ft-lbs
d
−809.7 ft-lbs
Answers
(b) 734.0 ft-lbs of work is done.
To find the work done by the force, we need to use the formula:
Work = force x distance x cos(θ)
where:
force = 56 pounds (the given constant force)
distance = 16 feet (the distance the door is being pulled)
θ = 35 degrees (the angle between the force and the displacement of the door)
We need to convert the angle to radians to use it in the formula:
theta = 35 degrees x (pi/180) = 0.6109 radians
Now we can substitute the values into the formula:
Work = 56 pounds x 16 feet x cos(0.6109 radians)
Work = 734.0 ft-lbs (rounded to one decimal place)
Therefore, the answer is (b) 734.0 ft-lbs.
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Derrimon Trading Limited is a company which was established in 1998 that primarily earns revenues from the distribution and retail of bulk goods and the manufacturing, wholesale, retail and distribution of goods. The company is in expansion mode and has recently come to the public to raise additional funds, it is listed on the Jamaica Stock Exchange. By extension, one assumes that it would have had to make some changes in how it operates while catering to
the needs of the various stakeholders, more so its shareholders subsequent to this listing.
Required: A. Taking the above into consideration, discuss THREE consequences of this company
being a listed company on the Jamaica Stock Exchange.
B. Outline FIVE reasons that could have motivated Derrimon Trading Company to list on
the exchange.
Answers
Being a listed company on the Jamaica Stock Exchange has three consequences for Derrimon Trading Limited. Firstly, it provides access to additional capital for expansion and growth. Secondly, it increases transparency and accountability to shareholders and the general public. Lastly, it enhances the company's reputation and credibility in the market.
A. Consequences of Derrimon Trading Limited being a listed company on the Jamaica Stock Exchange:
Increased Public Visibility: By being listed on the Jamaica Stock Exchange, Derrimon Trading Limited gains increased public visibility and recognition. The company's activities, financial performance, and corporate governance practices are subject to public scrutiny, which can enhance its reputation and brand image among potential customers, suppliers, and partners.Access to Capital: One significant consequence of being a listed company is the ability to raise capital by issuing additional shares to the public. Derrimon Trading Limited can utilize the stock market to raise funds for its expansion plans, acquisitions, research and development, and other capital-intensive projects. This access to capital allows the company to pursue growth opportunities that may not have been feasible otherwise.Shareholder Expectations and Governance Obligations: As a listed company, Derrimon Trading Limited has a fiduciary duty towards its shareholders. It must ensure transparent reporting, compliance with regulatory requirements, and effective corporate governance practices. Shareholders expect timely and accurate financial information, dividend payments, and a strong return on their investments. The company needs to establish proper communication channels to address investor inquiries, concerns, and expectations.B. Reasons that could have motivated Derrimon Trading Company to list on the exchange:
Capital Expansion: Derrimon Trading Limited may have listed on the Jamaica Stock Exchange to raise additional capital for its expansion plans. Listing provides access to a broader investor base, allowing the company to attract more capital from institutional investors, retail investors, and other market participants.Acquisition and Growth Strategy: Listing on the stock exchange can facilitate Derrimon Trading's strategy of acquiring other companies and expanding its operations. The funds raised through the listing can be utilized for mergers and acquisitions, enabling the company to consolidate its market position and achieve economies of scale.Enhanced Liquidity: Listing on the exchange provides shareholders and investors with a platform to easily buy and sell the company's shares. This increased liquidity can attract more investors, improve the company's stock price stability, and potentially increase its market value.Improved Corporate Governance: Being a listed company imposes certain regulatory requirements and corporate governance standards. Derrimon Trading Limited may have chosen to list to enhance its corporate governance practices, which can improve transparency, accountability, and investor confidence in the company.Brand Visibility and Reputation: Listing on a reputable stock exchange like the Jamaica Stock Exchange can enhance Derrimon Trading's brand visibility and reputation. It signals to the market that the company has met the exchange's listing requirements and adheres to certain standards, which can attract more customers, suppliers, and business partners.It's important to note that these are hypothetical reasons and the actual motivations for Derrimon Trading Limited's listing may vary based on their specific circumstances and strategic objectives.
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Evaluate yz + x² x=3.2, y=6.1, z=0.2
Answers
Answer:
Step-by-step explanation:
To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:
yz + x²
Substituting the given values, we get:
(6.1 * 0.2) + (3.2^2)
This simplifies to:
1.22 + 10.24
Therefore, the value of the expression is approximately 11.46.
11.46
gimme brainlyest gang
what is definition of derivative limit?
Answers
The derivative limit is used to find the rate of change of a function at a specific point by taking the limit of the difference quotient as the change in the input variable approaches zero.
The derivative of a function at a specific point is the rate at which the function changes at that point. More specifically, it is the slope of the tangent line to the graph of the function at that point.
The derivative limit refers to the process of finding the derivative of a function at a particular point by taking the limit of the difference quotient as the change in the input variable approaches zero.
In mathematical notation, the derivative of a function f(x) at a point x=a is denoted as f'(a), and is defined as:
f'(a) = lim h→0 (f(a+h) - f(a))/h
Here, h represents the change in the input value, and as h approaches zero, the quotient (f(a+h) - f(a))/h approaches the slope of the tangent line to the graph of the function at the point x=a.
The concept of the derivative limit is essential to calculus and is used in many areas of mathematics, science, and engineering to model and analyze real-world phenomena.
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A company purchased 10 computers from a manufacturer. They paid their bill after 40 days with a finance charge of $180. The manufacturer charges 11% interest. Find the cost of the computers excluding interest, and the cost per computer. Use a banker's year of 360 days. The cost, excluding interest, is $ _____(Do not round until the final answer. Then round to the nearest cent as needed.) The cost per computer is $_____
Answers
The cost, excluding interest, is $648. The cost per computer is $64.80
The manufacturer charges 11% interest. Finance charge: $180 Days: 40 days Banker's year: 360 days Cost per computer formula: Interest = Principal × Rate × Time/ 360% × 100
Let the cost of the computers be x dollars and the cost per computer be y dollars. Cost of the computers = x Cost per computer = y Total finance charge with interest = $180 Total days in banker's year = 360 Rate = 11% Principal = x Time in days = 40 days + 360 days= 400 days Interest = (x * 11 * 400)/(360 * 100)= (11x/360) * 400 Interest + x = 180 + x10x/36 = 180x = $648. The cost of the computers excluding interest is $648.The cost per computer is $64.80. (cost per computer = $648/10)Therefore, The cost, excluding interest, is $648. The cost per computer is $64.80.
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The circumference of the planet Jupiter is approximately 2.7 x 109 miles, while the circumference of the Moon is 6.75 x 10° miles. How many times longer is the circumference of Jupiter than the circumference of the Moon?
Answers
Answer:
1738 kilometers
Step-by-step explanation:
Help help me in this please
Answers
Answer:
ok dont panic all you have to do is if your looking for speed you will divide d distance over time and if your looking for distance speed over time and for time total distance over speed
Step-by-step explanation:
so all you have to do is find out what your looking for.
find the point at which the line intersects the given plane. x = 3 − t, y = 2 t, z = 2t; x − y 5z = 9 (x, y, z) = incorrect: your answer is incorrect.
Answers
To find the point at which the line intersects the given plane, we will first substitute the parametric equations of the line into the equation of the plane and then solve for the parameter 't'.
The parametric equations of the line are:
x = 3 - t
y = 2t
z = 2t
The equation of the plane is:
x - y + 5z = 9
Step 1: Substitute the parametric equations of the line into the plane equation:
(3 - t) - (2t) + 5(2t) = 9
Step 2: Simplify the equation and solve for 't':
3 - t - 2t + 10t = 9
7t - t = 6
6t = 6
t = 1
Step 3: Substitute the value of 't' back into the parametric equations of the line to find the intersection point (x, y, z):
x = 3 - t = 3 - 1 = 2
y = 2t = 2(1) = 2
z = 2t = 2(1) = 2
Therefore, the point at which the line intersects the given plane is (2, 2, 2).
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2x + 3y = -6
4x + 6y = -12
how many solutions does this equation have?
Answers
Answer:
Infinite/Many solutions
Step-by-step explanation:
If u divide 4x+6y=12 then u get 2x+3y=6 so that means there’s infinite solutions
a random sample of 25 was drawn from a normal distribution with a standard deviation of 5. the sample mean is 80. determine the 95% confidence interval estimate of the population mean.
Answers
Answer:
For A, the confidence interval formula above cannot be applied because n is less than 30, so we use the t-score confidence interval value
C.I = Mean ± t score × Standard deviation/√n
Mean = 80
Standard deviation = 5
n = 25
Degree of freedom = 25 - 1 = 24
Hence, 95% confidence interval degree of freedom t score = 2.064
Hence, Confidence Interval =
80 ± 2.064 × 5/√25
80 ± 2.064 × 1
80 ± 2.064
Confidence Interval =
80 - 2.064
= 77.936
80 + 2.064
= 82.064
Confidence Interval: (77.936, 82.064)
How many square kilometers are equivalent to 28.5 cm2?A) 2.85 × 10-9 km2 D) 2.85 × 10-4 km2B) 2.85 × 10-6 km2 E) none of theseC) 285 km2
Answers
The number of kilometres that are equivalent to 28.5 cm² is 2.85 × 10⁹ km². Hence, after careful consideration concerning every option, the required answer for the given question is Option A.
Here, we have to depend on the principles of conversation of units and using this principles derive a formula.
To convert 28.5 cm² to km², we have to implement the formula
Total number of square centimeters x 1.0 x \(E^{-10}\) = Total number of square kilometers .
The number of kilometres that are equivalent to 28.5 cm² is 2.85 × 10⁹ km². Hence, after careful consideration concerning every option, the required answer for the given question is Option A.
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what is 2/3 of the distance between the points U (-1,4) and B (8,5)
Answers
Answer:
6.037Step-by-step explanation:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\U (-1,4)\quad\implies\quad x_1=-1\,,\ \ y_1=4 \\\\B (8,5)\quad\implies\quad x_2=8\,,\ \ y_2=5\\\\\frac12d=\frac23\sqrt{(8+1)^2+(5-4)^2}=\frac23\sqrt{81+1}=\frac23\sqrt{82}\approx6.037\)
Find the volume of pyramid
Answers
Answer:
V=lwh
3
Step-by-step explanation:
Find the area of the shaded region.
Answers
The region is made up of
• a right triangle with short leg 10 m and hypotenuse 26 m
• a parallelogram with sides 40 m and 26 m (the 26-m side corresponds to the aforementioned hypotenuse)
• another triangle with two known legs of length 20 m and 26 m
Find the height of the right triangle using the Pythagorean theorem. If the height is h, then
(10 m)² + h² = (26 m)² ⇒ h² = 576 m² ⇒ h = 24 m
This height is common to all three shapes.
Now find the area of each shape.
• right triangle:
1/2 × (10 m) × (24 m) = 120 m²
• parallelogram:
(40 m) × (24 m) = 960 m²
• other triangle:
• 1/2 × (20 m) × (24 m) = 240 m²
Then the total area of the shaded region is 1320 m².
Find the highest common factor of
72 and 135
Answers
Answer:9
Step-by-step explanation:
Find the prime factorization of 72
72 = 2 × 2 × 2 × 3 × 3
Find the prime factorization of 135
135 = 3 × 3 × 3 × 5
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 3
GCF = 9
Answer:
9
Step-by-step explanation:
9 is the highest common factor of 72 and 135
When the bathroom at your house started to leak, the plumber came to fix it. In all, he used 18 feet of pipe, which came in either 2-foot or 4-foot sections. How many of each did he use if he needed 6 pieces of pipe
4 two foot and 2 four foot
3 two foot and 3 four foot
2 two foot and 4 four foot
5 two foot and 1 four foot
Answers
Answer:
3 two foot and 3 four foot
Step-by-step explanation:
In order to find how many of each he used, you have to find how much pipe in total with the options that were given you.
(3*2)+(3*4)=6+12=18 feet of pipe
The members of an Olympiad team contributed
a total of $ 1.69 for refreshments for their
weekly practices. Each member contributed the
same amount and paid for his or her share in
five coins. How many nickels were contributed
by all of the members?
Answers
Answer:
26 nickels
Step-by-step explanation:
Given that
Total contributed = $1.69
Number of coins = 5
based on the above information,
The number of nickels to be contributed is
Here first we have to determine the prime factors of 169 i.e 13 and 13
This represents that there are 13 member gives their $0.13 per person so it would be $1.69
Also there are 13 cents out of which 3 cents would be 3 pennies the remaining 10 cents would be 2 nickels
So the 13 people contributed to 2 nickels
Therefore, it would be
= 13 × 2
= 26 nickels
HELP PLEASE SHOW ME HOW TO DO THIS
Answers
Answer:
Step-by-step explanation:
Salary increase in 2 years = Salary in fifth year - salary in 3rd year
= 87,023 - 43,250
= $ 43,773
Salary increase per year= 43773/2 = $ 21,886.50
A farmers field has the dimensions shown.He needs to find the area of the field so that he knows how much he needs to buy .Jets is the arraignment the field ?
Answers
Answer:
3 4/15 km²
7 7/15 km
Step-by-step explanation:
Please find attached an image showing the dimensions of the farm
Here is the complete question :
A farmer's field has the dimension shown He needs to find the area of the field so that he knows how much seed to buy, and the perimeter so he can buy the fencing. Using the model find the area and perimeter of the field.
area of a rectangle = length x breadth
1 2/5 x 2 1/3
convert the mixed fractions to improper fractions
7/5 x 7/3 = 49/15 = 3 4/15 km²
Perimeter of a rectangle = 2 x (length + breadth)
2 x (1 2/5 + 21/3)
2(\(1\frac{2}{5} + 2\frac{1}{3}\))
2(\(3\frac{6 + 5}{15}\))
2(\(3\frac{11}{15}\))
2 x 56/15 = 112/15 = 7 7/15 km
Expand and simplity-(x-5)-(2x+7)
Answers
Answer:
-3x - 2
Step-by-step explanation:
-(x - 5) ⇒ -x + 5
-(2x + 7) ⇒ -2x - 7
-x + 5 - 2x - 7 ⇒ -3x - 2
multiply by sign:-x+5-2x-7
collect like term:-x-2x+5-7
simplify:-3x-2
so finally the answer is -3x-2use the conversion equations to express x and y in terms of r. You should have two equations after this step
Answers
The equation of the line in slope-intercept form;
y = √3x + b.
What is polar equation?A polar equation is any equation that expresses the relationship between r and theta, where r is the distance from the origin (pole) to a point on a curve and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive x-axis.
According to the given information:Equation 1 is x = rcosθ
Equation 2 is y = rsinθ
The angle is.θ
The radius of a circle is r.
The slope from this angle is also determined by:
θ = tan⁻¹(y/x)
tan⁻¹ (π/3) = (y/x)
√3 Equals (y/x)
y = √3x
In mathematics, this formula yields the equation of the line in slope-intercept form;
y = √3x + b.
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I understand that the question you are for is:
Transform each polar equation to an equation in rectangular form.
A. theta=pi/3
Part I: Use the conversion rules to express x and y in terms of r. You should
have two equations after this step.
Part II:Use the ratio (y/x) to find the slope of the line defined by this
equation.
Part III: Write the equation of the line in slope-intercept form.
a^4+b^4 phân tích thành nhân tử
Answers
a^4+b^4=(a^2)^2+(b^2)^2
=(a^2+b^2)^2–2a^2b^2
=(a^2+b^2)^2—(√ 2ab)^2
=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2)
Must click thanks and mark brainliest
I only have a few minutes. Help? 40 points
Answers
Step-by-step explanation:
<R and <T are vertical angles.
<U and. <Z are corresponding angles.
<S and <Z are alternate exterior angles.
<T and <W are alternate interior angles.
Hope it will help :)