Answer:
[tex]\dfrac{\text{d}y}{\text{d}x} =15x^4+45x^8[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4.8 cm}\underline{Differentiating $ax^n$}\\\\If $y=ax^n$, then $\dfrac{\text{d}y}{\text{d}x}=nax^{n-1}$\\\end{minipage}}[/tex]
[tex]\textsf{Differentiate $y$ with respect to $x$}:[/tex]
[tex]\begin{aligned}y & = 3x^5+5x^9\\\\\implies \dfrac{\text{d}y}{\text{d}x} & = 5 \cdot 3x^{5-1}+9 \cdot 5x^{9-1}\\\\& = 15x^4+45x^8\end{aligned}[/tex]
[tex]\textsf{Therefore, the derivative of $y$ with respect to $x$ is: $\dfrac{\textrm{d}y}{\textrm{d}x} =15x^4+45x^8$}[/tex]
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What are the ordered pairs of the solutions for this system of equations?
The ordered pairs of the solutions for this system of equations is a (-3,0) and the (3,6).
According to the statement
We have to find that the ordered pair of the solution of the equation.
So, For this purpose, we know that the
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
From the given information:
in the given graph there are the some intersecting points and the due to this graph the value of the y is 6 and the value of the x is a -3.
Then
After analyzing the graph we have to find the value of the another x and y.
We see that the parabola and the line intersect at the points -3 and the 6 of the different values.
Then the ordered pair becomes the
(-3,0) and the (3,6).
So, The ordered pairs of the solutions for this system of equations is a (-3,0) and the (3,6).
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Question 3
A car bought for £36000 depreciates in
value by 8% each year. Write down a
formula for the value of the car v, after t
years
The value of the car after t years is 36000*0.92^t
A car bought for 36000 euro depreciates in value by 8% each year
we have to find the formula for the value of the car V ,after t years
The Car Depreciation Calculator uses the following formulae
:V = P * (1 - R/100)^n
Where,
V is the value of the car after n years,
P is the purchase amount,
R is the percentage rate of depreciation per annum,
n is the number of years after the purchase.
P = 36000,
R =8%,
n = t
The value of the car after n years, V = P * (1 - R/100)^n
= 36000 * (1 - 8/100)^t
= 36000 * (1 - 0.08)^t
= 36000 * (0.92)^t
= 36000 * 0.92^t
Hence, The value of the car after t years is 36000*0.92^t
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what is solve for A K=AP/2
LITERAL EQUATION
The solution for A is given as A = 2K/P
According to the question we have been the formula to find the value of K which is given as follows:
K = AP/2
We need to find the formula to find the value of A from the given above formula. To find the formula we will solve the equation for A which is :
K = AP/2
multiplying both the sides by 2 we get,
K*2 = AP/2 *2
2K = AP
Now dividing both the sides by P we get,
2K/P = AP/P
2k/P = A
or, A = 2K/P
Hence the solution for A is given as A = 2K/P
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6y - z: use y = 3, and z = -5
Answer: 6 (3) -5
6x 3 = 18 18- 5 = 13
Step-by-step explanation:
Hi can someone please help me with these!
Lines a & m are parallel. Using the diagram below, what is the degree measure of angle 3?
Enter the numerical answer only. Example, if the answer is 12 degrees, only enter 12.
Based on the Alternate Interior Angles Theorem, the degree measure of angle 3 is equal to 153.
What are parallel lines?Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the Alternate Interior Angles Theorem?The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.
Since line a and m are parallel lines, angle 4 and 6 are alternate interior angles. By applying the supplementary angle theorem, the measure of angle 6 is given by:
Q + R = 180°
153° + m<6 = 180°
Angle 6 = 180° - 153°
Angle 6 ≡ Angle 4 = 17°
Now, we can determine the degree measure of angle 3 by applying the supplementary angle theorem:
Q + R = 180°
17° + m<3 = 180°
Angle 3 = 180° - 17°
Angle 3 = 153°
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Which graph represents the table?
Answer:
Can you please add the image for I can help you?
Step-by-step explanation:
If I drove is 357.5 miles in 5 hours and 30 minutes how fast was I driving?
Answer:
65 Miles Per Hour
Step-by-step explanation:
357.5 divided by 5 1/2 equals 357 1/2 divided by 11/2, or 715/2 times 2/11 using reciprocals. Multiply and you get 1430/22 which simplifies down to 65. Therefore you were driving at 65 miles per hour
Janet just graduated from college, has a job she's scheduled to begin in 3 months and has decided to treat herself to 6 weeks of travel across South America before she buckles down and starts working full-time. To do the trip, she's thinking of applying for a personal loan of $3500, and the bank she uses for her checking and savings account has offered her an interest rate of 24%. She has a goal of paying off the trip within two years. PLEASE HELP ASAP!!
3) By the time Janet pays off the loan, the total interest she would have paid is D. $941.17.
4) By the time Jane pays off the loan, the total cost of her tip is B. $4,441.17.
5) The equation to find the new balance after each month's payment is D. New balance = Previous balance - Total monthly payment.
How is the monthly payment computed?The monthly payments can be computed by first computing the total payments (future value of the loan). Then, the above figure is divided by the number of periods.
For instance, the total cost of Janet's trip is $4,441.17. The payments are made for 24 months. Dividing $4,441.17 by 24 gives $941.17.
Data and Calculations:N (# of periods) = 24 months (2 x 12)
I/Y (Interest per year) = 24%
PV (Present Value) = $3,500
FV (Future Value) = $0
Results:
PMT = $185.05
Sum of all periodic payments = $4,441.17 ($3,500 + $941.17)
Total Interest = $941.17
Thus, Janet would have spent $4,441.17 to obtain a loan of $3,500 for her trip at 24% interest with 24 months for repayment.
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look at the ordered pairs. (14,2) (12,-5) (13,0) (9,-4). is this relation a function
Answer:
Yes, it is!
Step-by-step explanation:
How to know if the ordered pairs is a function? Just look at the x values! If any of the x values repeat more than 1 time, then it is not a function. In this relation, none of the x values repeat more than 1 time, so this is a function!
Here are the ordered pairs on a graph (it passes the vertical line test):
Convert 2.3cm to meters
Answer:
0.023
Step-by-step explanation:
theres 100 centimeters in a meter . in other words , just move the decimal two points to the right lol
Find the length of RS when S is the
midpoint of RT.
R
7x-5
OA) 56
OB) 58
C) 112
O D) 116
S
6x + 4
The length of RS is 58 when S is the midpoint of RT.
Distance is measured in length. According to the International System of Quantities, length has the dimension of distance. In most measurement systems, length is represented by a base unit from which all other units are derived. The International System of Units' fundamental unit of length is the meter.
In geometry, a line segment's midpoint is referred to as the midpoint. It serves as both the segment's and the ends' centroid, and it is equally spaced from both. It cuts the section in half.
If S is the midpoint of the line segment RT then , from the definition we can say that RS = ST
Now we can put the values and solve the equation to find the length of RS .
7x - 5 = 6x + 4
or, x = 9
Therefore RS = 7x - 5 = 7 × 9 - 5 = 58
Hence the length of RS is 58 units.
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Help, worth 50 points please explain
Scaling is a resizing process. To draw a scaled size of a figure, we need to multiply all of the lengths by a scale factor. When drawing scale copies, we need to remember to the aspect ratio.
What is scaling?
Scaling process defines the resizing the image by increasing or decreasing the size of the image. It enhanced the image by the method called magnification. The magnification of the image depends on the resolution which defines the aspect ratio.
This process makes the image smaller by scaling down or bigger by scaling up. It play a vital role in computer graphics as well as vision based algorithms.
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K
Multiply.
(-2)(-1)(-6)
= [₂
6) = [
(-2)(-1)(-6)=
Step-by-step explanation:
I'm assuming you mean, (-2)(-1)(-6)
This will give (-2)(-1)= +2 (-)×(-) = +
(+2)×(-6) = -12
im confused on this !
A sample from a population with μ = 40 and σ = 10 has a mean of M = 44. If the sample mean corresponds to a z = 2.00, then how many scores are in the sample?
The number of scores that are in the sample will be 25.
How to calculate the value?From the information, the sample from a population with μ = 40 and σ = 10 has a mean of M = 44 and tthe sample mean corresponds to a z = 2.00.
The number of scores that are in the sample will be:
z = 4 / (10 / ✓n)
2.00 = 4✓n / 10.
4✓n = 20
✓n = 20/4
✓n = 5
n = 5²
n = 25
Therefore, the number of scores that are in the sample will be 25.
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Find the sum 6+4, 3/4, +, ( -2.5)
The required sum is 8.25
What is sum in mathematics?
A summation, also known as a sum, is the outcome of adding numbers or quantities arithmetically. A sum always has an even number of terms. There might be as few as two or as many as a hundred, thousand, or million phrases. Some sums have an unlimited number of terms.
[tex]6+4+\frac{3}{4}+(-2.5)[/tex]
[tex]= 10+\frac{3}{4} -2.5[/tex]
[tex]= \frac{40+3-10}{4}[/tex]
[tex]=\frac{33}{4}=8.25[/tex]
Hence the required sum is 8.25
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What is the slope of the line represented by the equation 12(x−6)=4(y+3)?
Answer:
3
Step-by-step explanation:
Dividing both sides by 4, we get 3(x-6)=y+3.
From here, it is clear the coefficient of x after isolating y, or the slope, is 3.
2. Error Analysis For the figure below, Adam was asked to draw all lines of reflection. His work is shown. What error did Adam make?
The vertical line is correct, but the horizontal line is not.
This is because we can reflect the left half over the vertical line to have it produce the right half, and vice versa.
Unfortunately, the top half is not the same as the bottom half. For instance, the metal part at the bottom is not found at the top. Also the top and bottom shapes don't perfectly match.
I need help asap help help
In the given picture there are 5 questions.
1. What are the name of the segments?
We have 3 points on a line we get 3 segment that are [tex]\bar{AB},\bar{AC}and \bar{BC}[/tex].
2.What are the names of a rays?
The names of the rays are[tex]\overrightarrow{AB},\overrightarrow{AC},\overrightarrow{CB},\overrightarrow{BA},\overrightarrow{BC}and \overrightarrow{CA}[/tex].
3. Name a pair of opposite rays.
The pair of opposite rays are [tex]\overrightarrow{CB},and \overrightarrow{CA}[/tex].
4. What is the intersection of plane AEF and plane HGF
[tex]\overrightarrow{EF}[/tex].
5. Name two planes that intersect [tex]\overline{CB}[/tex].
plane BFG and plane ADC.
1. Given there is a line with 3 points A,B and C.
The segment is the ends of a line segment are two. These endpoints are included, along with every point on the line that connects them. A segment's length can be measured, while a line's length cannot.
If there are 2 points on a line = 1 line segment; 3 points on a line = 3 segments.
We have 3 points on a line we get 3 segment that are [tex]\bar{AB},\bar{AC}and \bar{BC}[/tex].
2. Given there is a line with 3 points A,B and C.
A ray is a segment of a line with a single endpoint and unlimited length in a single direction. A ray cannot be measured in terms of length.
The names of the rays are
[tex]\overrightarrow{AB},\overrightarrow{AC},\overrightarrow{CB},\overrightarrow{BA},\overrightarrow{BC}and \overrightarrow{CA}[/tex].
3. Opposite rays are the two rays which has same end point that when kind of combined together create a straight line.
So, here we have an end point as C and the reason being is if my endpoint C i can have a ray go to right point B and it can go to the left point A.
If we choose the point A it can go to right point but not left and if we choose the point B it can go to left point but not right.
That's why the end point is C.
The pair of opposite rays are [tex]\overrightarrow{CB},and \overrightarrow{CA}[/tex].
4. the intersection of plane AEF and plane HGF is [tex]\overrightarrow{EF}[/tex].
5. the planes that intersect [tex]\overline{CB}[/tex].
plane BFG and plane ADC.
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The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 730 homeless patients and no more than 1,000 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 1,800 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $9,600 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $7,900 per month. How many of each type of patient should it house in order to maximize profit?
Answer:
b
Step-by-step explanation:
Please help or I’ll fail this :( I need help with C
Answer:
a. 29
b. g(p) = 2p² -3
c. 4x +2h
Step-by-step explanation:
You want to evaluate g(x) = 2x²-3 for different values of x.
a. x = -4Substituting -4 for x, we have ...
[tex]g(-4)=2(-4)^2-3 =2(16)-3\\\\\boxed{g(-4)=29}[/tex]
b. x = pSubstituting p for x, we have ...
[tex]\boxed{g(p)=2p^2-3}[/tex]
c. Difference quotientThe given expression simplifies to ...
[tex]\dfrac{g(x+h)-g(x)}{h}=\dfrac{(2(x+h)^2-3)-(2x^2-3)}{h}\\\\=\dfrac{2(x^2+2hx+h^2))-3-2x^2+3}{h}=\dfrac{2x^2+4hx+2h^2-3-2x^2+3}{h}\\\\=\boxed{4x+2h}[/tex]
__
Additional comment
The square of a real number is always positive. That should be your first clue that (-4)² = 16 ≠ -16.
Sometimes it helps to remember that an exponent signifies repeated multiplication:
(-4)² = (-4)(-4) . . . . . . has an even number of minus signs, so is positive.
Please note that this is different from -4² = -(4²) = -16.
REALLY NEED HELP ON THIS!!
Triangle MNO is formed by connecting the midpoints of the side of triangle JKL.
The measures of the interior angles of triangle JKL are shown. Find the measure of
LKNM. Figures not necessarily drawn to scale.
80°
54°
N
M
46°
K
Answer:
80*
Step-by-step explanation:
That would be the correct answer because that would be the accurate measure for the interior angle shown.
Frank camped and hiked for three days. He hiked around three of the lakes.
He estimated his hiking distance to be more than 35 miles but less than 40
miles. Which three lakes did Frank hike? explain your answer
a = 6.51
b = 8.74
c = 21.25
d = 18.68
e = 15.33
The three lakes that Frank walked were Lakes A, B, and C. This may be deduced from the distances between the lakes as well as the total distance that Frank traveled, which was more than 35 miles but less than 40 miles.
How do locate the lakes when hiking?You may determine which lakes Frank walked to by combining a total of three lakes from the set of lakes provided in the puzzle.
Assuming Frank hiked Lakes A, B, and C, the distance is;
= 6.51 + 8.74 + 21.25
= 36.5 miles
Lakes A, B, and D:
= 6.51 + 8.74 + 18.68
= 33.93 miles
Lakes A, B, and E:
= 6.51 + 8.74 + 15.33
= 30.58 miles
It can be observed that Lakes A, B, and C are the only ones that meet the requirement of having a distance of fewer than 40 miles but more than 35 miles.
The following questions should be asked next:
Lakes: a = 6.51
b = 8.74
c = 21.25
d = 18.68
e = 15.33
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Suppose that the frequency table below contains data on female life expectancy at birth in 95 randomly selected countries.
Age Frequency
56 5
57 6
58 3
59 3
60 4
61 5
62 11
63 24
64 34
Use the table to determine the median life expectancy for females in these 95 countries.
median =
years (Do not round)
is this a test? if not let me know
The ratio of the length of an airplane wing to its width is 7 to 1. If the length of a wing is 32.7 meters, how wide must it be?
Answer:
The best way to solve this is by setting up a proportion. Since the length to width is stated as 8 to 1, the ratio would be set-up as 8/1=32.3/x
Step-by-step explanation:
11+9k+6n
how many terms
8x = x² +4
The answer?
Answer: =4±23√
Step-by-step explanation:
in the triangle below, z=
Answer:
Where's the triangle?
Step-by-step explanation:
