a = amount invested at 5%
b = amount invested at 2%
now, we know the total invested by Mr Wilson was 20000, so whatever "a" and "b" might be, we know that a + b = 20000.
[tex]a + b = 20000\implies b = 20000-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{5\% of a}}{\left( \cfrac{5}{100} \right)a}\implies 0.05a~\hfill \stackrel{\textit{2\% of b}}{\left( \cfrac{2}{100} \right)a}\implies \begin{array}{llll} 0.02b\\\\ \stackrel{substituting}{0.02(20000-a)} \end{array}[/tex]
now, we know the total of earned interest is 550 bucks, so then
[tex]0.05a~~ + ~~0.02(20000-a)~~ = ~~550\implies 0.05a+400-0.02a=550 \\\\\\ 0.03a+400=550\implies 0.03a=150\implies a=\cfrac{150}{0.03}\implies a=5000 \\\\\\ ~\hspace{24em}\stackrel{20000~~ - ~~5000}{b=15000}[/tex]
Find X:
J:58
K:70
L:111
M:121
Answer:
L
Step-by-step explanation:
interior angle formula so
(number of sides - 2)*180
2*180 = 360
you can also just take an example from a square 4*90 = 360
360-121-58-70 = 111
|m² + n²|
When m = -5and n
=
3, the value of the expression is
Answer:
34
Step-by-step explanation:
You want the value of |m² +n²| for m = -5 and n = 3.
EvaluationPut the values where the variables are in the expression and do the arithmetic.
|m² +n²| = |(-5)² +3²| = |25 +9| = |34| = 34
The value of the expression is 34.
__
Additional comment
Here, the absolute value bars don't do anything, because the value between them is positive. If it were negative, they would remove the minus sign.
<95141404393>
Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the safe zone at 242424 meters per second. After 444 seconds of driving, she was 707070 meters away from the safe zone.
Let yyy represent the distance (in meters) from the safe zone after xxx seconds.
Complete the equation for the relationship between the distance and number of seconds.
The distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone. This can be obtained by converting the conditions to equations.
Find the equation for the relationship between the distance and number of seconds:A linear function containing one dependent and one independent variable.
It can be represented using the equation,
y = mx + c
where m is the slope
It is given in the question that,
Rachel is a stunt driver and one time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second.
After 4 seconds of driving, she was 70 meters away from the safe zone.
Let, D(t) be the distance to the safe zone (measured in meters) and t be the time (measured in seconds)
After 4 seconds of driving, she was 70 meters away from the safe zone.
⇒ This means that at t = 4 seconds, D(4) = 70 meters
Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative
⇒ m = - 24
y = mx + c
⇒ D(t) = (-24)t + c
Put t = 4,
D(4) = (-24)4 + c
70 = -96 + c ⇒ c = 166
⇒ D(t) = 166 - 24t
Hence the distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone.
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finish this whole thing and ill give you five stars thanks and brainliest
Which statement is true?
The value of 8,590 − 4,586 is half the value of 2 x (8,590 − 4,586).
The value of 2,674 x 5,480 + 5 is 5 times the value of 2,674 + 5,480.
The value of 6,432 x (1,860 − 6) is 6 less than the value of 6,432 x 1,860.
The value of 2,876 x (9,280 + 8) is 8 more than the value of 2,876 x 9,280.
The value of 8,590 − 4,586 is half the value of 2 x (8,590 − 4,586).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. The basic operations performed on an equation are addition, subtraction, multiplication and division.
The value of 8,590 − 4,586 = 4004
Half the value of 2 x (8,590 − 4,586) = (1/2) of 2 x (8,590 − 4,586) = 4004
The value of 8,590 − 4,586 is half the value of 2 x (8,590 − 4,586).
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The half-life of iron-52 is approximately 8.3 hours.How much of a 13 gram sample of iron-52 would remain after 8 hours? Round to three decimal places.
6.665 grams of the 13 grams remain after 8 hours.
How much of a 13 gram sample of iron-52 would remain after 8 hours?The decay equation for the 13 grams of iron-52 is:
[tex]N(t) = 13g*e^{(-ln(2)/8.3h)*t}}[/tex]
Where N is the amount of iron-52, and t is the time in years.
Where we used the fact that the half-life is exactly 8.3 hours.
Now, the amount that is left is given by N(8h), so we just need to replace the variable t by by 8 hours, so we get:
[tex]N(8h) = 13g*e^{(-ln(2)/8.3h)*8h}} = 6.665g[/tex]
So 6.665 grams of the 13 grams remain after 8 hours.
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The controller of MingWare Ceramics Inc. wishes to prepare a cost of goods sold budget for September. The controller assembled the following information for constructing the cost of goods sold budget: Direct materials: Enamel Paint Porcelain Total Total direct materials purchases budgeted for September $35,870 $7,530 $139,890 $183,290 Estimated inventory, September 1 1,730 4,150 6,920 12,800 Desired inventory, September 30 2,980 2,710 7,150 12,840 Direct labor cost: Kiln Department Decorating Department Total Total direct labor cost budgeted for September $51,550 $149,500 $201,050 Finished goods inventories: Dish Bowl Figurine Total Estimated inventory, September 1 $5,810 $3,310 $2,730 $11,850 Desired inventory, September 30 3,720 4,590 4,360 12,670 Work in process inventories: Estimated inventory, September 1 $3,540 Desired inventory, September 30 1,980 Budgeted factory overhead costs for September: Indirect factory wages $80,400 Depreciation of plant and equipment 10,550 Power and light 5,110 Indirect materials 3,390 Total 99,450 Use the preceding information to prepare a cost of goods sold budget for September. For those boxes in which you must enter subtracted or negative numbers use a minus sign. MingWare Ceramics Inc. Cost of Goods Sold Budget For the Month Ending September 30 Finished goods inventory, September 1 $Finished goods inventory, September 1 Direct labor $Direct labor Direct materials: $- Select - - Select - $- Select - - Select - $- Select - Direct labor fill in the blank 15 - Select - - Select - $- Select - Work in process inventory, September 30 fill in the blank 22 - Select - $- Select - - Select - $- Select - 4,100
The preparation of the Cost of Goods Sold Budget for MingWare Ceramics Inc. in September is as follows:
Cost of Goods Sold Budget:Beginning inventory of finished goods $11,850
Cost of goods manufactured 485,310
Ending inventory of finished goods (12,670)
Cost of Goods Sold $484,490
What is the cost of goods sold budget?The cost of goods sold budget sums the costs of the beginning inventory of finished goods with the cost of goods manufactured and subtracts the ending inventory of finished goods.
The cost of goods sold budget is based on the cost of goods manufactured budget.
Data and Calculations:Direct materials: Enamel Paint Porcelain Total
Total direct materials purchases
budgeted for September $35,870 $7,530 $139,890 $183,290
Estimated inventory, September 1 1,730 4,150 6,920 12,800 Desired inventory, September 30 (2,980) (2,710) (7,150) (12,840)
Materials used in production $183,250
Direct labor cost: Kiln Department Decorating Department Total
Total direct labor cost
budgeted for September $51,550 $149,500 $201,050
Finished goods inventories: Dish Bowl Figurine Total
Estimated inventory, September 1 $5,810 $3,310 $2,730 $11,850
Desired inventory, September 30 3,720 4,590 4,360 12,670
Cost of goods manufactured budget:Work in process inventories:
Estimated inventory, September 1 $3,540
Direct materials used in production $183,250
Direct labor costs $201,050
Total factory overhead costs $99,450
Desired inventory, September 30 (1,980)
Cost of goods manufactured $485,310
Budgeted factory overhead costs for September:Indirect factory wages $80,400
Depreciation of plant and equipment 10,550
Power and light 5,110
Indirect materials 3,390
Total 99,450
Thus, to prepare the cost of goods sold, as above, MingWare Ceramics, requires to determine the cost of goods manufactured for September.
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By selling a TV for Rs 6900, a shopkeeper loses 8%. Find his cost price. What must be the price so as to make a profit of 12%?
Answer:
The selling price must be ₹8400 to make a profit of 12%======================
GivenSelling price of a TV is ₹6900,With this price the loss is 8%.To find SP to make a profit of 12%SolutionFind the cost, x:
x - 8% of x = 6900x - 0.08x = 69000.92x = 6900x = 6900/0.92x = 7500Find the price to get 12% profit:
7500 + 12% = 7500*1.12 = 8400find the area of a triangular shaped land having the length of three sides 20,34 M and 42 respectively in metre square Anna and ropani
Step-by-step explanation:
if I understand you correctly, then the 3 sides are
a = 20 m
b = 34 m
c = 42 m
under this assumption the best is to use Heron's Formula to get the area :
s = (a + b + c)/2
area = sqrt(s(s - a)(s - b)(s - c))
in our case
s = (20 + 34 + 42)/2 = 96/2 = 48
area = sqrt(48(48-20)(48-34)(48-42)) =
= sqrt(48×28×14×6) = sqrt(112,896) =
= 336 m²
Answer:
sorry i didnt know this D: <3
Step-by-step explanation:
Solve for the value of w.
(4W-8)°
(3w+6)°
Step-by-step explanation:
4W-8=3W+6
4W-3W=6+8
W=14°
lets find the value of W in this straight line
4W-8°=180°(angle on a straight line)
collect like terms
4W=180°+8°
4W=188°
divide both sides by the coefficient of W which is 4
W=47°
if i am correct pls rate it
The idea of a rigid motion is a significant concept in geometry. Explain what a rigid motion is and why it is essential. Using the diagram below, identify the specific rigid motions used for the following shapes.
A rigid motion is a type of motion in which all points on a given object move at the same time, in the same direction, and cover the same distance.
A rigid motion is a type of motion in which all points on a given object move at the same time, in the same direction, and cover the same distance. It is an essential type of motion used in geometry due to the rigid transformation of objects considered in the topic.
Rigid transformation is a method required to change the position, size, orientation, or dimensions of a given shape. This implies that the given shape (object) undergoes the appropriate transformation into its image. Types of rigid transformation are translation, rotation, dilation, and reflection.
Considering the given question, the quadrilateral performed a rigid motion. This was done by first reflecting it about the vertical axis, and now translating it 2 units downwards towards the horizontal axis.
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Maths Questions box 51.The function f: R→ R is twice differentiable and for any x ER we have g(x) = f(4-x²), if f'(1) = -5 and f" (1) = -1 than what is g" (√3)?
By the chain rule,
[tex]g(x) = f(4 - x^2) \\\\ \implies g'(x) = -2x f'(4 - x^2) \\\\ \implies g''(x) = -2 f'(4 - x^2) + 4x^2 f''(4 - x^2)[/tex]
Observe that
[tex]4 - x^2 = 1 \implies x^2 = 3 \implies x = \pm\sqrt3[/tex]
Then
[tex]g''(\sqrt3) = -2 f'(1) + 4\left(\sqrt3\right)^2 f''(1) = -2(-5) + 4(3)(-1) = \boxed{-2}[/tex]
Which expression correctly represents "six more than the quotient of three and a number, decreased by eight"?
6+3/n-8
6+n/3-8
6+3/n+8
6+n/3+8
The option A is correct because the value of the statement is 6+3/n-8.
According to the statement
we have given that the statement and we have to write the statement in the numerical form.
So, For this purpose
we know that the given statement is
"Six more than the quotient of three and a number, decreased by eight".
In this statement "Six more than" indicates the sum between the quotient and 6.
And "The quotient of three and a number" indicates a fraction where the numerator is 3 and the denominator is , a number.
"Decreased by eight" indicates a subtraction between the quotient an 8 units".
If we unit all parts of the statements, we would have
6+3/n-8
So, From the given statement, The option A is correct because the value of the statement is 6+3/n-8.
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What is the General form of the zero of a first degree polynomial? Explained answered please
Answer:
for normalian is a function of the form FX is equal to a and x n + a n - 1 x n - 1 + ax2 into X + A1 is equal to A2 is degree per normal highest power of X is
I need help with the questions in this photo
Part I: The correct formula is D. ((x₁ + x₂)/2, (y₁ + y₂)/2)
Part II: The midpoint of the segment with endpoints (-2, -1) and (0, 9) is (-1, 4)
Calculating the midpoint of a line segmentFrom the question, we are to determine the formula for calculating the midpoint of a segment
The midpoint of a segment can be determined by using the formula,
Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)
The correct formula is D. ((x₁ + x₂)/2, (y₁ + y₂)/2)
II. To determine the midpoint of the segment with endpoints (-2, -1) and (0, 9)
x₁ = -2
y₁ = -1
x₂ = 0
y₂ = 9
Putting the parameters into the formula,
Midpoint of the segment = ((-2 + 0)/2, (-1 + 9)/2)
Midpoint of the segment = (-2/2, 8/2)
Midpoint of the segment = (-1, 4)
Hence, the midpoint of the segment with endpoints (-2, -1) and (0, 9) is (-1, 4)
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what is the best estiment of the mass of a bowling ball
Step-by-step explanation:
The heaviest legal bowling ball weighs 16 pounds. The lightest weight you can usually find at most bowling alleys is six pounds.
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what is the difference between d and 7?
Answer:
d - 7
Step-by-step explanation:
The word "difference" tells us that we will be using subtraction. Also, subtraction is not the same if you reverse the terms like, x - 2 and 2 - x are not the same. In your question it say "d and 7" so that's the order we use in the algebraic expression.
PLEASE HELP ME THANK U
Answer:
2700 degrees
Step-by-step explanation:
The number of sides minus 2 times.
n = number of sides
(n-2)= 180
(17-2)(180)
(15)(180) = 2700
An isosceles trapezoid has a perimeter of 108 metres. Its shorter base measures 11.5 metres and its longer base measures 28.1 metres. The two remaining sides have the same length; what is that length?
The length of one of the remaining sides is 34.20 meters.
What is the length?A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Perimeter of an isosceles trapezoid = sum of lengths of sides of a trapezoid
length of shorter base + length of longer base + (2 x legs)
108 = 11.5 + 28.1 + (2 x legs)
108 = 39.60 + (2 x legs)
108 - 39.60 = (2 x legs)
68.40 = (2 x legs)
leg = 68.40 / 2
= 34.20 meters
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Find the measure of c.
Answer:
100°
Step-by-step explanation:
basically, in this situation, whatever number or angle you're given, and the number diagonally across from it are supposed to add up to 180°.
(i think its called a cyclic quadrilateral, so do with that what you will.)
What are the excluded values? –4 and –1 -1/2, 1, and 4 1 1 and 4
The excluded values are x = 4 and x - 1
How to determine the excluded values?The complete question is added as an attachment
The function is given as:
(2x^2 - 7x - 4)/(x^2 - 5x + 4)
Set the denominator to 0
x^2 - 5x + 4 = 0
Expand
x^2 - x - 4x + 4 = 0
Factorize the equation
x(x -1) - 4(x - 1) = 0
This gives
(x - 4)(x - 1) = 0
Solve for x
x = 4 and x - 1
Hence, the excluded values are x = 4 and x - 1
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Answer: Its D 1 and 4
Step-by-step explanation:
I took the assignment
how much would you need to deposit in an account now in order to have 6000 in the account in 8 years. assume the account earns 6% interest compounded monthly
$3,717.14
Step-by-step explanation:Compound interest is the interest on the principal funding as well as the interest itself.
Compound Interest Formula
Compound interest can be solved by plugging known values into a formula.
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]In this formula, the variables stand for different values.
A = total amountP = principal amountr = rate as a decimaln = times compounded per time periodt = timeSo, for this question, we can plug in the values we are given and solve for P.
Identifying Known Values
First, let's find the exact numbers we are going to plug in.
6000 is the final amount we want, so A = 6000.6%, the rate, is 0.06 as a decimal, so r = 0.06.Since interest is compounded each month per year, n = 12.The total time is 8 years, so t = 8.Solving For P
Now we can plug all of these values in.
[tex]6000=P(1+\frac{0.06}{12})^{12*8}[/tex]First, simplify the values within the parentheses and in the exponent through arithmetic.
[tex]6000 = P(1.005)^{96}[/tex]Next, divide both sides by [tex]1.005^{96}[/tex]
3717.14 ≈ P*Note that the answer has been rounded to the nearest hundredth.
This means that you would need to deposit $3,717.14 into the account to have $6,000 in 8 years.
Pls help me with this calculus question
Answer:
5
Step-by-step explanation:
Gradient (slope) of the curve can be found by deriving a curve function.
In this scenario, the given function is a polynomial function which we can use Power Rules to derive it.
Power Rules
[tex]\displaystyle{y=ax^n \to y' = nax^{n-1}}[/tex]
Thus, using the power rules, we will have:
[tex]\displaystyle{y'=3x^2-4x+5}[/tex]
Note that deriving a constant will always result in 0.
Then the problem gives us that we want to find the slope or gradient at where the curve crosses y-axis.
The curve crosses y-axis at x = 0 only. Therefore, we substitute x = 0 in a derived function.
[tex]\displaystyle{y'(0) = 3(0)^2-4(0)+5}\\\\\displaystyle{y'(0) = 5}[/tex]
Therefore, the slope at the point where a curve crosses y-axis will be 5.
The function f(x) is shown in the graph.
Graph that is increasing from negative infinity and is asymptotic to the x- axis in quadrant 3. The graph passes through 0 comma 1 and turns to continue increasing upward in quadrant one.
Which type of function describes f(x)?
Exponential
Logarithmic
Rational
Polynomial
By analyzing the end behavior of the graphed function, we conclude that the graphed function is an exponential one.
Which type of function is f(x)?On the graph, we can see that as the independent variable (the one in the horizontal axis) tends to large negative values, the dependent variable (the one in the vertical axis) tends to zero.
And, as the independent variable increases in the positive domain, also does the dependent variable. So we have an increasing function
Finally, we can see that the range (set of the outputs) of the function is the set of values larger than zero.
These 3 are characteristics of exponential functions, so we conclude that the graphed function is an exponential one, thus the correct option is the first one.
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Answer:
Logarithmic
Step-by-step explanation:
HS Teacher
3(q+ 4/3 )=2 solve for Q
Answer: q = -2/3
Step-by-step explanation:
First, we need to apply the Distributive Law in order to proceed with the problem.
3(q + 4/3) = 2
3q + 3(4/3) = 2
We already know that 3(4/3) = 4, since the 3's cancel out. Or, 3(4/3) = 12/3 = 4.
Our new equation is,
3q + 4 = 2
Through transposition and isolation of variables, we get,
3q = -2
Dividing by 3 on both sides...
q = -2/3
DJ Larissa is making a playlist for a friend; she is trying to decide what 10 songs to play and in what order they should be played .
Step 2. If she has her choices narrowed down to 7 blues, 3 hip-hop, 5 reggae, and 7 rock songs, and she wants to play no more 4 blues songs, how many different playlist or possible? Express your answer in scientific notation rounding to the hundredths place
The total number of ways are formed is 4.43 x 10^10 by rounding to the hundredths place.
According to the statement
we have given that the some numbers of the songs which are added by the larrisa in her playlist.
And we have to tell the ways which are formed with the help of the combination and permutations.
So, For this purpose we know that the
The first condition we have given that the
"play no more than 4 blues songs" - indicates playlist can contain 0, 1, 2, 3, or 4 blues songs. You need to analyze five different cases and add them up together in the end. From 7 blues songs, you can either "pick" 0, 1, 2, 3, or 4. Since order matters, it's a permutation, not a combination.
Afterwards, it gets tricky. Consider the first case, where we have 0 blues songs. This means that there are 10 spaces for the remaining (3+5+7 = 15) songs, which means that they can be arranged in (7P0 ∙ 15P10) ways.
For the next case, where we have 1 blues songs, it means that there are 9 spaces for the remaining 15 songs, which means that they can be arranged in (7P1 ∙ 15P9) ways. Continue doing this for the cases of 2, 3, and 4 blues songs and add up all the cases together.
And from this way we get the all combinations which are formed.
So, For this purpose
n = (7P0 ∙ 15P10) + (7P1 ∙ 15P9) + (7P2 ∙ 15P8) + (7P3 ∙ 15P7) + (7P4 ∙ 15P6) = 4.43459016×1010,
which rounded to the hundredths place, is 4.43 x 10^10 possible playlists.
So, The total number of ways are formed is 4.43 x 10^10 by rounding to the hundredths place.
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Answer:
Step-by-step explanation:
evaluate b-(-1/8)+c where b=2 and c=-7/4
Answer: [tex]\Large\boxed{\dfrac{3}{8} }[/tex]
Step-by-step explanation:
Given information
[tex]b=2[/tex]
[tex]c=-\dfrac{7}{4}[/tex]
Given expression
[tex]b-(-\dfrac{1}{8}) +c[/tex]
Substitute values into the expression
[tex]=(2)-(-\dfrac{1}{8}) +(-\dfrac{7}{4} )[/tex]
Convert the fractions into the common denominator
Least Common Multiple (LCM) of 8 and 4 = 8
[tex]=(2)-(-\dfrac{1}{8}) +(-\dfrac{7\times2}{4\times2} )[/tex]
[tex]=(2)-(-\dfrac{1}{8}) +(-\dfrac{14}{8} )[/tex]
Simplify the parenthesis
[tex]=2+\dfrac{1}{8} -\dfrac{14}{8}[/tex]
Simplify by addition
[tex]=\dfrac{16}{8} +\dfrac{1}{8} -\dfrac{14}{8}[/tex]
[tex]=\dfrac{17}{8} -\dfrac{14}{8}[/tex]
Simplify by subtraction
[tex]\Large\boxed{=\dfrac{3}{8} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
A triangle with a base of 16 cm and a height of 9 cm.
Answer: 288
Step-by-step explanation:
(16x9)x2
Find the area and the circumference of a circle with radius .
Use the value 3.14 for , and do not round your answers. Be sure to include the correct units in your answers.
The area of the circle is 78.5 square yards and the circumference of the circle is 31.4 yards
How to determine the area?The radius of the circle is given as:
r = 5 yard
The area is calculated using
A = pi r^2
Substitute the known values in the above equation
A =3.14 * 5^2
Evaluate the exponent
A =3.14 * 25
Evaluate the product
A =78.5
Hence, the area of the circle is 78.5 square yards
How to determine the circumference?The radius of the circle is given as:
r = 5 yard
The circumference is calculated using
C = 2pi r
Substitute the known values in the above equation
C =2 * 3.14 * 5
Evaluate the product
C = 31.4
Hence, the circumference of the circle is 31.4 yards
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which statements are true
The true statements are;
-Both graphs are logarithmic functions
-Both graphs have been shifted and flipped (B and D).
What is a graph?A graph is a plot of information on the cartesian coordinates. The function is plotted on an x - y cartesian plane. Given the nature of function, we can understand the shape of the graph as shown.
In this case, the graph shows a flipped logarithmic function. As such, the following are true about the function;
-Both graphs are logarithmic functions
-Both graphs have been shifted and flipped
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What is the length of the transverse axis (y-2)^2/16 - (x+1)^2/144= 1
The length of the transverse axis is 8.
What is transverse axis length?The transverse axis of the hyperbola is the straight line connecting vertices A and A'. The line segment connecting the vertices of a hyperbola is referred to as the transverse axis or AA'.The hyperbola's equation is expressed as (yk)2b2(xh)2a2=1). The center is (h,k), b defines the transverse axis, and a defines the conjugate axis. The section of a line where a hyperbola's vertices form.Given the equation of hyperbola:[tex]\frac{(y-2)^{2} }{16}[/tex][tex]-\frac{(x+1)^{2} }{144 }[/tex][tex]=1[/tex]
Rewrite this equation as [tex]\frac{(y-2)^{2} }{4^{2} }[/tex][tex]-\frac{(x+1)^{2} }{12^{2} }[/tex][tex]=1[/tex]
When comparing this equation to the common hyperbola equation with a vertical transverse axis is [tex]\frac{(y-k)^{2} }{a^{2} }[/tex][tex]-\frac{(x+h)^{2} }{b^{2} }[/tex][tex]=1[/tex]
[tex]h = -1[/tex]
[tex]k= -2[/tex]
[tex]a = 4[/tex]
[tex]b = 12[/tex]
The length of the transverse axis is[tex]2a = 2*4[/tex]
[tex]=8.[/tex]
The length of the transverse axis is 8.
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