Answer: 9, 1/20, 9/20
Step-by-step explanation:
1) 9 pieces
2) Size of each pieces:
\(=\frac{3}{4} *\frac{1}{3}* \frac{3}{5} *\frac{1}{3}\\= \frac{1}{4} *\frac{1}{5} \\= \frac{1}{20}\)
3) Area of the shaded rectangle:
\(=\frac{3}{4} *\frac{3}{5} \\= \frac{9}{20}\)
PLEASE HELP ME
How did the internet democratize film criticism
Answer:
The first wave of democratization came when the world embraced digital. Film stock was eliminated, the Filmlab was replaced by computers. Digital pipelines and online distribution led to the creation of over-the-top (OTT) or digital as the third content-viewing platform, after cinema and television, rapidly scaling up the viewer base and causing a significant reduction in content cost to a point where it became almost free.
Widespread digital distribution also enabled the creation of the ‘individual’ viewer. For the first time in history (s)he was free of peer/societal judgement of his/her content choices. This led to a massive expansion in content subjects as creators no longer needed to appeal to a large base. All this led to a massive increase in the number of filmmakers and in the types of content they were creating.
Moore’s law of computing also apparently applies to filmmaking. It took a century for the first wave, but it took only a quarter of a century to herald in the second wave of democratization of the industry. What digital filmmaking did to analog filmmaking, mobile filmmaking will do to digital filmmaking.
As content demand and the ease of its creation grew, the time available for content creation shrunk, from years to months, to days, and, in some cases, to hours. Today’s filmmaking workflow needs to be as ‘light’ as possible while maintaining quality and the most ubiquitous device in today’s world, the mobile phone, is all set to fulfill yet another function, filmmaking.
(A)pple, (G)oogle, (S)amsung, and (S)ony, in alphabetical order, and several other manufacturers have put in significant effort to add filmmaking as a ‘pro’ functionality to the mobile phone. We are currently in v3.0 of the mobile filmmaking technology curve. What started with (V)GA (v1.0) and HD (v2.0) has today reached 4K resolution, high speed and high dynamic range acquisition, professional-grade lenses, military-grade image stabilization, and almost unlimited storage. The top-end mobile phone today, clubbed with the right accessories, is almost as good as a mid-level digital cinematography camera. It would not be a stretch to say that the entire content creation and distribution infrastructure needed to create 95% of the world’s content today, can be fit into a cabin-baggage-sized suitcase.
June 2019 was a momentous month. A film made by legendary filmmaker Claude Lelouch, shot in large part on the iPhone, was the opening film at the Cannes Film Festival 2019. Lelouch and Steven Soderbergh, who are both Oscar and Palme d’Or winners, have made full-length films on the iPhone.
The (i)Phone has proven that paired with the right accessories, it can replace a digital cinematography camera, but that is not necessarily the only or the biggest benefit that mobile filmmaking brings to the world. Mobile filmmaking will include a whole new group of filmmakers, who, despite the digitization of filmmaking, were still left out of the high-end filmmaking ecosystem, but its larger impact will be to greatly increase both the quality and quantity of content being created for the digital platforms ecosystem. India annually produces approximately 5,000 hours of original cinematic content and, at last count, approximately 1,500 hours of original (O)TT content. In contrast, approx one hour of content is uploaded on (Y)ouTube in India per minute, making it more than 500,000 hours of original content being uploaded by Indians on (Y)ouTube. Further, we have more than 30 (O)TT platforms, each of which will be commissioning a lot of original content over the next few years. India has a total digital viewer base of 400 million people with a headroom of 600 million more in the next five years. So, our content ecosystem is far from saturated and the opportunity for more creators can not be overstated.
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
#SPJ1
PLS I HAVE 10 min TO FINISH I NEED HELP WITH MATH
Answer:
B is the answer
Step-by-step explanation:
I worked it out
Without multiplying tell which is greater 4/5x45 or 2/3x45
Answer:
2/3 x 45 < 4/5 x 45
Step-by-step explanation:
Rearrange from smallest to largest:
2/3 x 45 < 4/5 x 45
I hope this helps!
Which of the following expressions is equivalent to the one below? 3x + 6y
A.
6(2x + y)
B.
6x + 3y
C.
3(x + 2y)
D.
9(x + y)
Circumference = 69.1yd
Answer:
What do you want us to find?
Step-by-step explanation:
What is the solid formed when rotated around the side length of 5?
O two cones with a radius of 2.4 units and a height of 1.8 units and 3.2 units
O two cones with a radius of 3.6 units and a height of 1.8 units and 3.2 units
O two cylinders with a radius of 2.4 units and a height of 2.6 units and 2.8 units
O two cylinders with a radius of 3.6 units and a height of 1.6 units and 2.8 units
Find the volumes and surface areas of the solids. Give your answers in terms of pi
The solid formed when the right triangle is rotated around the side length of 5 is two cones with a radius of 1.5 units and a height of 1.8 units and 3.2 units.
The volume of the smaller cone is approximately 3.82 cubic units, and the surface area is approximately 20.94 square units.
The volume of the larger cone is approximately 6.04 cubic units, and the surface area is approximately 20.94 square units.
We have,
When the right triangle is rotated around the side length of 5, it forms two cones with different heights and radii.
Now,
r = base / 2 = 3 / 2 = 1.5 units
h = height = 4 units
Using the Pythagorean theorem,
l = √(1.5² + 4²) = √(18.25) ≈ 4.27 units
The first cone has a radius of 1.5 units and a height of 1.8 units (5 - 4.27)
The second cone has a radius of 1.5 units and a height of 3.2 units (5 - 1.8).
Now,
The volume of a cone.
V = (1/3)πr^2h
The surface area of a cone.
A = πrl + πr^2
For the first cone:
V = (1/3)π(1.5)²(1.8) = 3.82 cubic units
A = π(1.5)(4.27) + π(1.5)² = 20.94 square units
For the second cone:
V = (1/3)π(1.5)²(3.2) = 6.04 cubic units
A = π(1.5)(4.27) + π(1.5)² = 20.94 square units
Thus,
The solid formed when the right triangle is rotated around the side length of 5 is two cones with a radius of 1.5 units and a height of 1.8 units and 3.2 units.
The volume of the smaller cone is approximately 3.82 cubic units, and the surface area is approximately 20.94 square units.
The volume of the larger cone is approximately 6.04 cubic units, and the surface area is approximately 20.94 square units.
Learn more about cones here:
https://brainly.com/question/13798146
#SPJ1
Marina had 24,500 to invest. She divided the money into three different accounts. At the end of the year, she had made RM1,300 in interest. The annual yield on each of the three accounts was 4%, 5.5%, and 6%. If the amount of money in the 4% account was four times the amount of money in the 5.5% account, how much had she placed in each account?
Answer:
See below
Bold parts are important parts. They are the equations.
Marina had RM24,500 to invest.
If the amount of money in the 4% account was four times the amount of money in the 5.5% account.
" At the end of the year, she had made RM1,300 in interest. The annual yield on each of the three accounts was 4%, 5.5%, and 6%."
"If the amount of money in the 4% account was four times the amount of money in the 5.5% account,"
a = 4b
Down is the equations.
let a = amt in the 4% acct
let b = amt in the 5.5% acct
let c = amt in the 6%
"Marina had RM 24,500 to invest."
a + b + c = 24500
Replace a with 4b in both equations, simplify
b = $2000 in the 5.5% investment
a = $8000 in the 4% acct
Hope this helps.
Marina invested $ 8000 at 4%, $ 2000 at 5.5%, and $ 14,500 at 6%.
Since Marina had $ 24,500 to invest, and she divided the money into three different accounts, and at the end of the year, she had made $ 1,300 in interest, and the annual yield on each of the three accounts was 4%, 5.5%, and 6%, to determine, if the amount of money in the 4% account was four times the amount of money in the 5.5% account, how much had she placed in each account, the following calculation must be performed:
4000 x 0.04 + 1000 x 0.055 + 19500 x 0.06 = 1385 8000 x 0.04 + 2000 x 0.055 + 14500 x 0.06 = 1300
Therefore, Marina invested $ 8000 at 4%, $ 2000 at 5.5%, and $ 14,500 at 6%.
Learn more in https://brainly.com/question/18521069
Valentina and her friends have collected 1,596 winter hats to donate to 4 local shelters. Part A Which is the best equation to use to estimate the number of hats, h, each shelter will receive? A. 1,500 ÷ 3 = h 1,500 ÷ 3 = h B. 1,500 ÷ 4 = h 1,500 ÷ 4 = h C. 1,600 ÷ 4 = h 1,600 ÷ 4 = h D. 2,000 ÷ 5 = h 2,000 ÷ 5 = h Part B Choose the number to complete the sentence. Each shelter will receive about hats.
The expression or equation to represent the number of hat each shelter will receive is h = 1600 / 4
Algebraic ExpressionAlgebraic expressions are the mathematical statement that we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.
To represent the amount each local shelter will receive, we can write an expression for that while the variable is present
h = variableThe number of hats can be found by dividing the total number of hats collected by the number of local shelters.
Estimating the number of hats
1596 ≅ 1600
Number of hats (h) = 1600 / 4
h = 400
Each local shelter will receive 400 hats
Learn more on algebraic expression here;
https://brainly.com/question/4344214
#SPJ1
Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?
possible answers -
By the cross product property, AB2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by AD.
By the cross product property, AB2 = BC multiplied by AD.
The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:
Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.
By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).
Using the proportionality of similar triangles, we can write the following ratio:
\($\frac{AB}{BC} = \frac{AD}{AB}$\)
Cross-multiplying, we get:
\($AB^2 = BC \cdot AD$\)
Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:
\($\frac{AC}{BC} = \frac{AD}{AC}$\)
Cross-multiplying, we have:
\($AC^2 = BC \cdot AD$\)
Now, we can substitute the derived expressions into the original equation:
\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)
It was made possible by cross-product property.
Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
For more questions on cross-product property:
https://brainly.com/question/14542172
#SPJ8
Values of f(t) are given in the following table.
t 0 2 4 6 8 10
f(t) 132 129 120 109 94 77
a. Does this function appear to have a positive or negative first derivative? Second derivative?
The function appears to have a _____ first derivative, and a ____ second derivative.
b. Estimate f'(2) and f'(8) . Use difference quotients to the right.
f'(2) = ____
f'(8) = ____
The estimated values of f'(2) and f'(8) are -4.5 and -8.5, respectively.
What is function?In programming, a function is a self-contained block of code that performs a specific task or set of tasks. It is a reusable piece of code that can be called multiple times from different parts of a program. Functions typically take inputs, called arguments or parameters, and produce outputs, which can be returned to the calling code.
Given by the question.
a.
To determine whether the function has a positive or negative first derivative, we can examine the change in values of f(t) between adjacent values of t. Since the values of f(t) decrease as t increases, the function appears to have a negative first derivative.
To determine the second derivative, we can examine the change in the first derivative. Since the first derivative is negative, it is decreasing as t increases, suggesting a negative second derivative.
Therefore, the function appears to have a negative first derivative and a negative second derivative.
b.
To estimate f'(2) and f'(8) using difference quotients to the right, we can use the following formula:
f'(t) ≈ [f (t + h) - f(t)] / h
where h is a small positive value. To estimate f'(2), we can use h = 2:
f'(2) ≈ [f (4) - f (2)] / 2 = (120 - 129) / 2 = -4.5
To estimate f'(8), we can use h = 2:
f'(8) ≈ [f (10) - f (8)] / 2 = (77 - 94) / 2 = -8.5
To learn more about function:
https://brainly.com/question/12431044
#SPJ1
After consulting with his broker, Gregor Mendel purchased 100 shares of a computer company stock at $44.41 per share. He also purchased 600 shares of a second company's stock at $19.08 per share. Gregor's online broker charges $0.04 per share. What is the total cost of the stock including the commission?
Therefore, the combined price of both stocks, including fee, is $15,917.00.
What does "commission" mean?The commission is cash given to a marketing agent, to put it simply. You would receive 95% of the sales price, for instance, if you were to sell vehicles and the selling agent received a commission of 5%. You receive a portion of the buyer's payment if you complete a sale.
100 shares for the first company's stock were purchased for a total sum of:
100 x $44.41 = $4,441.00
For purchasing 100 shares, the fee is:
100 x $0.04 = $4.00
The price of the stock in the first business, including commission, is thus:
$4,441.00 + $4.00 = $4,445.00
The price for the 600 shares of stock in the second business is as follows:
600 x $19.08 = $11,448.00
For purchasing 600 shares, the fee is:
600 x $0.04 = $24.00
As a result, the second company's stock's overall cost, including commission, is:
$11,448.00 + $24.00 = $11,472.00
Therefore, the total cost of both stocks including commission is:
$4,445.00 + $11,472.00 = $15,917.00.
To know more about commission visit:
https://brainly.com/question/24951536
#SPJ1
can someone help me with this
The sine equation for the object's height is given as follows:
d = -5sin(0.24t).
How to define the sine function?The standard definition of the sine function is given as follows:
y = Asin(Bx) + C.
The parameters are given as follows:
A: amplitude.B: the period is 2π/B.C: vertical shift.The amplitude for this problem is of 5 inches, hence:
A = 5.
The period is of 1.5 seconds, hence the coefficient B is given as follows:
2π/B = 1.5
B = 1.5/2π
B = 0.24.
The function starts moving down, hence it is negative, so:
d = -5sin(0.24t).
More can be learned about trigonometric functions at brainly.com/question/21558626
#SPJ1
what percent of 75cm is 5cm
Answer:
6.67%
Step-by-step explanation:
5 / 75 = 0.066667
(0.066667)(100) = 6.67%
Kim creates a model of a building. The scale of her model building is 1 foot to inch. Some of the measurements are
shown in the table
Enter numbers in the empty boxes to correctly complete the table.
Building (feet) Model (inches)
Height
128
Length of Base
Width of Base
80
6.25
Answer:
height: 16 inch
length of base: 10 inch
width of base: 50 feet
Step-by-step explanation:
128*(1/8)=16 inch
80*(1/8)=10 inch
x*1/8=6.25
x=6.25*8=50 feet
The height and length of the model will be 16 in and 10 in respectively, and the width of the building will be 50 feet.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given that, the scale factor of the building and a model of it is 1/8.
Height of the model = 128/8 = 16 in
Length of the model = 80/8 = 10 in
Width of the model = 6.25*8 = 50
Hence, The height and length of the model will be 16 in and 10 in respectively, and the width of the building will be 50 feet.
For more references on scale factor, click;
https://brainly.com/question/29464385
#SPJ5
What is the bar model for 20-x=6
Answer:
14
Step-by-step explanation:
20-x=6
20-14=6
hope this will help you
A concession stand is selling popcorn. The money earned from popcorn sales can be represented by f(x)=1.5x , where f(x) represents the total amount of sales and x represents the number of bags sold. There are only 650 bags available. Write the domain and range of this situation.
Step-by-step explanation:
"the amount of sales" is in my understanding the earned money.
y = f(x) = the money earned.
x = number of bags sold.
so, y = f(x) just tells us how much money is earned, when x bags are sold.
and f(x) = 1.5x (whatever monetary unit is used)
650 bags are available.
the domain tells us the valid values for x.
so, what are valid numbers of bags of popcorn sold ?
well, if all goes bad, they sell no popcorn at all = 0 bags.
if all goes great, they will sell all 650 bags. but not more, because they have not more than these 650 bags.
so, the valid x values (domain) are whole numbers with
0 <= x <= 650.
whole numbers, because the problem description sounds like they would not sell parts of bags.
the range tells us the valid/expected intervals or sets of values for y (= the functional result values).
so, what are the possible amounts of money they can earn ?
for x = 0, also y = 0 (per y = 1.5x).
this is, where y starts. it cannot be lower than 0.
and then y grows with x with the factor of 1.5.
and the maximum amount of earned money we get, when x reaches the maximum (= all 650 bags are sold).
x = 650, y = 1.5×650 = 975
so, for the range we have
0 <= y <= 975
and y are rational numbers (due to the 1.5 factor)
Need help ASAP I will mark Brainlyist
help
explain how to do
Answer:
In the illustration it's finding the value of x and what degrees so the answer was
32°
Given: x=_____ degrees.
In the picture above we found 32°
Answer: x= 32° degrees
#CarryOnLearning
#BetterWithBrainly
Student Council has 1,064 flowers. They want to divide the flowers evenly among 28 centerpieces. How many flowers will be in each centerpiece?
To find out how many flowers will be in each centerpiece, we can divide the total number of flowers by the number of centerpieces:
Total number of flowers: 1,064
Number of centerpieces: 28
Number of flowers in each centerpiece = Total number of flowers / Number of centerpieces
Number of flowers in each centerpiece = 1,064 / 28 = 38
Therefore, there will be 38 flowers in each centerpiece.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer: 38
Step-by-step explanation:
The question is asking you to divided.
1064 divided by 28 = 38
So there will be 38 flowers in each centerpiece
Find the measures of the angles 1 through 7.
2
- . (-18)
.
Help me plz
Answer:
4
Step-by-step explanation:
-2/9x-18/1= 36/9=4
If sing, which of the following are possible for the same value of a?
A. sec9 =
B. cose =
C. cose =
√5
3
D. sece=
√5
3
and tang =
and tang
8=-2 and 1
-7/5
3
and tang =
tang =
-7/5
25
Like
SUBMIT
The possible trigonometric ratios for the angle θ are given as follows:
A. \(\sec{\theta} = \frac{3}{\sqrt{5}}\) and \(\tan{\theta} = \frac{2}{\sqrt{5}}\)
B. \(\cos{\theta} = \pm \frac{\sqrt{5}}{3}\) and \(\tan{\theta} = \frac{2}{\sqrt{5}}\)
How to obtain the trigonometric ratios?The sine for the angle θ is given as follows:
sin(θ) = 2/3.
The identity relating the sine and the cosine is given as follows:
sin²(θ) + cos²(θ) = 1.
Hence the cosine of the angle is given as follows:
cos²(θ) = 1 - 4/9
cos²(θ) = 5/9
\(\cos{\theta} = \pm \frac{\sqrt{5}}{3}\)
The tangent is given by the division of the sine by the cosine, hence it is calculated as follows:
\(\tan{\theta} = \frac{2}{\sqrt{5}}\)
(if the cosine is negative, the tangent is then negative, as the sine is positive).
The secant is the division of one by the cosine, that is, it is the inverse fraction of the cosine, hence:
\(\sec{\theta} = \frac{3}{\sqrt{5}}\)
Learn more about trigonometric ratios at brainly.com/question/24349828
#SPJ1
two or more expressions joined by an inequality sign is called
Answer:
inequality
Step-by-step explanation:
Inequality are two or more expressions joined by an inequality sign is called
The ceiling in Clara’s basement is 2.75 meters high. When Clara jumps she is 18 centimeters short of being able to touch the ceiling. How high can Clara reach when she jumps?
Clara can reach a height of 2.57 meters when she jumps.
Given information:
The ceiling in Clara’s basement is 2.75 meters high.
When Clara jumps she is 18 centimeters short of being able to touch the ceiling.
We can start by converting the height of the ceiling and Clara's jump to the same units, either meters or centimeters. Let's convert Clara's jump to meters:
18 centimeters = 0.18 meters
Now we can subtract Clara's jump from the height of the ceiling to find how high she can reach:
2.75 meters - 0.18 meters = 2.57 meters
To learn more about subtraction;
https://brainly.com/question/2346316
#SPJ1
Help for Pre Calc please
The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:
\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\); f^(-1)(x) is not a function.
How to obtain the inverse function?The function in this problem is defined as follows:
f(x) = 4x^4.
To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:
x = 4y^4.
Isolating the variable y, we have that:
y^4 = (x/4).
The inverse operation of the fourth power is the fourth root, hence:
\(y = \pm \sqrt[4]{\frac{x}{4}}\)
\(f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}\)
\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\)
The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.
This means that the second statement is correct.
More can be learned about inverse functions at https://brainly.com/question/3831584
#SPJ1
The height h of an object thrown from the top of a ski lift 1240 feet high after t seconds is h=-16t2 +32t+1240. For what times is the height of the object at least 1000 feet?
←
The height of the object is at least 1000 feet from seconds to seconds.
Check the picture below.
so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.
\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)
now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.
So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark happened between 0 and 5 seconds.
Anyone willing to answer this question
Answer:
C.
Step-by-step explanation:
To get a perpendicular line, the slope will be the opposite of what you currently have. You have a slope of 2, so the opposite reciprocal slope will be -1/2. Then, you use the equation y = mx+b and substitute (2,5) for the y and the x (2 for the x and 5 for the y). This is to solve for b. Then, you have your equation! Hope this helped.
This circle is centered at the origin, and the length of its radius is 10. What is
the circle's equation?
Answer:
x^2 + y^2 = 100
Step-by-step explanation:
The equation of the circle that you are looking for is x^2 + y^2 = 100.
You can find this by using the base formula for a circle:
(x - x1)^2 + (y - y1)^2 = r^2
In which x1 is the x-coordinate of the origin, y1 is the y-coordinate of the origin, and r is the radius. So we put in the values we know and simplify.
(x -0)^2 + (y - 0)^2 = 10^2
x^2 + y^2 = 100
write the expression as a single logarithm 2logbq 8
Logarithmic function convert into the expression as a single logarithm to simplify the function.
The expression as a single logarithm for the is \(log_{b} (q^{2} t^{8} )\)
What is logarithm function?Before the development of calculus, many mathematicians utilized logarithms to convert problems involving multiplication and division into addition and subtraction problems. In logarithms, some numbers (often base numbers) are raised in power to obtain another number. It is the exponential function's inverse. We are aware that since mathematics and science frequently work with huge powers of numbers, logarithms are particularly significant and practical.When the input takes the form of a product, quotient, or value raised to a power, certain features of logarithmic functions make it possible to simplify the logarithms.The expression as a single logarithm for the is \(log_{b} (q^{2} t^{8} )\)
To learn more about logarithm, refer to
https://brainly.com/question/29373904
#SPJ4