Step-by-step explanation:
A= πr^2
A = 8^2×π=64π= 201.06 ft^2
How do you calculate image size?
The steps to calculate the image size is as follows.
Size:
In math, size refers the process of comparing or measuring objects, which results in the determination of the magnitude of a quantity, such as length or mass, relative to a unit of measurement.
Given,
Here we need to find the steps to find the image size.
In order to find the size of the image, we have to perform the following steps:
First, we have to multiply the detectors number of horizontal pixels by the number of vertical pixels to get the total number of pixels of the detector.
Then we have to Multiply total number of pixels by the bit depth of the detector (16 bit, 14 bit etc.) to get the total number of bits of data.
After that, we have to divide the total number of bits by 8 equals the file size in bytes.
Finally, we have to divide the number of bytes by 1024 to get the file size in kilobytes. Divide by 1024 again and get the file size in megabytes.
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Last saturday, Flavia walked her dog 1 2/5 miles.
Shazell walked her dog 3 times as far.
How many miles did Shazell walk her dog?
Answer:
4.2 miles
Step-by-step explanation:
1 2/5 = 7/5
7/5*3/1 = 21/5
221/5 = 4 1/5 = 4.2
PLEASE HURRY 100 POINTZ PLUS BRAINLIEST
Select the true statement that describes a right triangular prism.
A right triangular prism contains curved surfaces.
A right triangular prism contains rectangular faces.
A right triangular prism contains rectangular bases.
A right triangular prism contains one apex.
Answer:
A right triangular prism contains rectangular faces.
Step-by-step explanation:
Answer:
(C) A right triangular prism contains rectangular faces.
Step-by-step explanation:
hope this helps <3
14. Sharlene bought 4 CDs at the music store. Each cost $14.95.
She was charged 5% sales tax on her purchase. What was
the total cost of her purchase?
Answer: $62.79
Step-by-step explanation: i got it right on my test
write the trigonometric equation for the function with a period of 6. the function has a maximum of 3 at x
The trigonometric equation for the function with a period of 6 is \(f(x) = A sin (\frac{\pi}{3}t)\).
What are trigonometric functions?The simplest definition of a trigonometric function is the function of an angle in a triangle, often known as a circular function. It implies that these trig functions can be used to determine the relationship between a triangle's angles and sides.
The general equation of the wave is given by the formula:
f(x) = A sin(wt)
Where, \(w = \frac{2\pi}{T}\)
where, T is the time period.
Given that T = 6, substituting the value in the formula we have;
\(w = \frac{2\pi}{6}\)
\(w = \frac{\pi}{3}\)
Substituting the value of w in the general equation:
\(f(x) = A sin (\frac{\pi}{3}t)\)
Hence, the trigonometric equations for the function with a period of 6 is \(f(x) = A sin (\frac{\pi}{3}t)\).
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Felipe has a business where he builds and sells birdhouses. To build 12 birdhouses, he needs \large 5\frac{1}{4} meters of wood. During the holiday season, Felipe was asked to make \large 4\frac{1}{2} times the number of birdhouses he usually makes. How many meters of wood does Felipe need to make that many birdhouses?
Based on the number of birdhouses that Felipe has to build in the holiday season, the meters of wood that Felipe needs would be 23 ⁵/₈ meters
How many meters of wood are needed?First, find out the number of birdhouses Felipe needs to make:
= Normal number of birdhouses x Increase in holiday season
= 12 x 4¹/₂
= 54 birdhouses
The meters of wood he needs are:
= Number of birdhouses to be made / Number of bird houses he usually makes x Meters of wood needed for birdhouses Felipe usually makes
= 54 / 12 x 5¹/₄
= 23 ⁵/₈ meters
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Erika and her friends have been collecting toys to deliver to a children's hospital. Over the last 4 days, they have collected 272 toys. What has been their collection rate, in toys per day? A. 66 toys per day B. 68 toys per day C. 69 toys per day D. 72 toys per day
Answer:
The answer is B or 68 toys per day which ever way you would like to put it
Step-by-step explanation:
All you have to do is 272 toys divided by 4 days
In Exercises 13-16, write an equation in slope-intercept form of the line shown. Please show your work.
The slope y-intercept form of a linear equation is given as y = mx +c so for 13,14,15,16 the equations are y = 2x - 5,y = -x - 5,y = -x/2 + 1, and y = 3x/4 - 2 respectively.
What is a linear function?A linear function is a function that varies linearly with respect to the changing variable.
A linear function always has the same and constant slope.
In the 13 figure,
The linear equation of a line is ,
y = mx + c where m is the slope while c is the y-intercept.
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope(m) = (y₂ - y₁)/(x₂ - x₁)
So, the slope associated with points (3,1) and (1,-3) is,
m = (-3 - 1)/(1 - 3) = 2
So, y = 2x + c
Now substitute,(3,1)
1 = 2(3) + c
c = -5
So the b becomes, y = 2x - 5.
With the same approaches, the equations for the 14,15, and 16 figures are y = -x - 5,y = -x/2 + 1, and y = 3x/4 - 2 respectively.
Hence "The slope y-intercept form of a linear equation is given as y = mx +c so for 13,14,15,16 the equations are y = 2x - 5,y = -x - 5,y = -x/2 + 1, and y = 3x/4 - 2 respectively".
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The angle marked a=92 degrees.
work out the angle marked x.
Answer:
x is 92 degrees
The lines x and a are parallel and congruent, meaning they are evenly proportioned and have the same length.
On a grocery store shelf, there are 16 loaves of white bread and 24 loaves of wheat bread. A shopper randomly selects a loaf of bread.
What is the PROBABILITY it is WHEAT
Round to the NEAREST PERCENT!
Answer:
60%
Step-by-step explanation:
16 loaves of white bread and 24 loaves of wheat bread. = 40 loaves of bread
P( wheat) = number of wheat/ total
= 24/40
=.6
=60%
The length of a rectangle is seven inches more than the width. The perimeter is 54 inches. Find the length and the width.
Answer:
length is 30.5 and width is 23.5
Step-by-step explanation:
first do 54 - 7 to see how much each is, then add back the 7 to the one with 7 extra, length. 54 - 7 is 47. 47 split in 2 is 23.5. That is width. Add 7 extra to length. 23.5 + 7 is 30.5. length is 30.5.
The perimeter of a rectangle is equal to the sum of twice the rectangle's length and twice the rectangle's width:
P = 2l + 2w
and, here, P = 54 inches.
We are told that the length is seven inches more than the width. So, l = w + 7. We can substitute w + 7 for l in the equation for the perimeter:
P = 2(w + 7) + 2w = 54.
We can now solve for w:
2w + 14 + 2w = 54
4w = 40
w = 10 inches.
Now that we know the width, we can determine the length.
54 = 2l + 2w
54 = 2l + 2(10)
34 = 2l
l = 17 inches.
Thus, the length is 17 inches, and the width is 10 inches.
To check our work, a length of 17 inches is seven inches more than the width of 10 inches, and the perimeter of a rectangle with a length of 17 inches and a width of 10 inches is 17 + 17 + 10 + 10 = 54 inches.
What is the domain of all of these points?
(8, 2), (12,9), (16, 16), (20, 23)
Answer:
8, 12, 16, 20
Step-by-step explanation:
those are the domains
if you roll six fair six-sided dice one time, what are the chances that at least one of the dice will come up a five? g
There is a probability of 66.5 % chance of it landing on a 5 at least once in 6 dice.
Because there are six faces on a die, you have an even chance of the dice landing on one of these faces each time you roll:
This means that each time that you roll, there is a 5/6 chance that you will not roll a 5.
The probability of not rolling a 6 twice is 5/6 or 69.4%.
Roll the die six times, and the probability of not rolling a 5 is
(5/6) * (5/6) * (5/6) * (5/6) * (5/6) * (5/6) * (5/6)
= (5/6)⁶
= 33.5%
Therefore, the probability of rolling a 5 at least once in 6 dice
= 100% - 33.5%
= 66.5%
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Find the area and perimeter of the given plain figure
This shape is the rhombus, then ;
Rhombus area = side length × heightA= b × h
A= Rhombus area
h = height ; b = side length ( length of any side)
h= 3 inch ; b= 4.5 inch ; A=?
A= b × h
A= 4.5 × 3 = 13.5 inch²
____o__o_____
The perimeter of a rhombus = 4 × side of lengthP = 4× a
P = The perimeter of a rhombus ; a = side of length
p= ? ; a = 4.5 inch
P = 4× a
P = 4× 4.5 = 18 inch
I hope I helped you^_^
Toby found a $52 wallet on the clearance
rack for 60% off. If sales tax is 6.25%, how
much will he pay in total?
A.$22.10
B.$23.75
C.$28.50
D.$33.15
Answer:
A. $22.10
Step-by-step explanation:
52 x 0.4 = 20.8
20.8 x 1.0625 = 22.1
please solve all the questions!!! :) will mark brainliest
Step-by-step explanation:
< A = 4x
< B = 3x - 3°
<C = 5x + 3°
Solving for x
< A +<B + <C = 180° {Being sum of angles of triangle }
4x + 3x - 3 ° + 5x + 3° = 180°
12x = 180°
x = 180° / 12
x = 15°
Measure of <A
= 4 * 15°
= 60°
Measure of < B
= 3 * 15° - 3°
= 42°
Measure of < C
= 5* 15° + 3°
= 78°
Hope it will help :)❤
Answer:
solve for x = 15
Determine the measure of <A = 60
Determine the measure of <B = 42
Determine the measure of <C = 78
hope this helps :)
What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 12?
Y=_x+_
Answer:
y= 12x -43
Step-by-step explanation:
y-5 = 12(x-4)
y-5= 12x-48
+5 +5
y= 12x- 43
Mr.marquez had 123 eggs in a refrigerator in his restaurant he put 32 more cartons of eggs in the refrigerator each carton contained 18 egg which if these is the best estimate of the number of eggs mr Marquez now has in his refrigerator
a publisher reports that 58% of their readers own a particular make of car. a marketing executive wants to test the claim that the percentage is actually more than the reported percentage. a random sample of 300 found that 62% of the readers owned a particular make of car. is there sufficient evidence at the 0.02 level to support the executive's claim? step 2 of 7 : find the value of the test statistic. round your answer to two decimal places.
Therefore, the value of the test statistic is 1.71.
The test statistic calculates the standard errors that separate the sample percentage from the predicted population proportion. The null hypothesis, which in this case is that the genuine proportion of readers who own the specific make of automobile is not greater than 58%, is stronger evidenced by a larger absolute value of the test statistic.
We must apply the following formula to determine the test statistic's value:
Z = (P - p) / (p*(1-p)/n), where P is the sample proportion, p is the hypothesised population proportion (0.58 in this case), n is the sample size (300), and sqrt stands for the square root.
By replacing the given values, we obtain the following result, which is rounded to two decimal places: z = (0.62 - 0.58), (0.58 * 0.42 / 300), z = 1.71.
The test statistic is positive, which indicates that the sample percentage of 62% exceeds the population proportion predicted by 58%. The difference between the sample proportion and the predicted population proportion is 1.71 standard errors distant from the mean, according to the value of 1.71. This indicates that the sample proportion is statistically significant at the 0.02 level, but in order to draw a firm conclusion, we must compare it to the critical value.
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Find the area of the triangle.
A drawing of a triangle with base of 12 and a half feet and height of 4 feet.
What mass of sodium chloride (NaCl) is contained in 30.0 mL of a 17.9% by mass solution of sodium chloride in water? The density of the solution is 0.833 g/mL. a) 6.45 g b) 201 g c) 4.47 g d) 140 g
4.47 mass of sodium chloride (NaCI) is contained in 30.0 mL of a 17.9% by mass solution of sodium chloride in water. c). 4.47. is the correct option.
Mass of the solution (m) = Volume of the solution (V) × Density of the solution (d)= 30.0 mL × 0.833 g/mL= 24.99 g
Now, let the mass of sodium chloride be x.
So, the percentage of sodium chloride in the solution is given by: (mass of NaCl / mass of solution) × 100%
Hence, we can write the given percentage as:(x/24.99)× 100= 17.9% ⇒x = (17.9/100) × 24.99= 4.47 g
Hence, the mass of sodium chloride (NaCl) is contained in 30.0 mL of a 17.9% by mass solution of sodium chloride in water is 4.47 g.
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What
is the difference between Variance and Standard Deviation?
Give
examples of how they are applied.
Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.
Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.
Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.
To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.
If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.
The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.
These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.
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PLS HELP GRADES ARE DUE PLSS
determine whether the relation defines y as a function of x. Guve the domain.
Answer
Explanation
Given:
\(y=-\frac{5}{x}\)To determine whether the relation defines y as a function of x, we get the domain first.
Based on the given relation, when we plug in x=0, the value would be undefined. So the function domain is x<0 or x>0.
Hence, the interval notation is:
\((-\infty,0)\cup(0,-\infty)\)We can use vertical line test to determine if it is a function as shown in the graph below:
As we can see, there's only one point of intersection so the relation defines y as a function of x. Therefore, the answer is:
Function; domain
\((-\infty,0)\cup(0,-\infty)\)Help! How many pairs are circled?
Answer:
41
Step-by-step explanation:
T/F according to semistrong form efficiency, an analyst who finds some unique information buried in a firm's published financial statements will be at an advantage to the rest of the market
On the basic of properties of Semi Strong form efficiency, we conclude the given statement that According to the Semi- strong form of efficiency, analysts who find unique information hidden in a company's published financial statements have an advantage over the rest of the market is False.
Semi Strong form :
The efficiency theory of the semi-strong format uses all publicly available information when calculating the current price of a stock, allowing investors to use either technical or fundamental analysis to find the best value in the market. We follow the belief that no higher return can be generated.
Those who agree with this version of theory believe that only information not available to the public can help investors drive returns to higher levels of performance than the general market. To test the semi -strong version of EMH, we can see if the stock price fluctuates up or down if private his message has been published before. For example, proposed mergers and ambiguous earnings announcements are known to insiders but not to the public. Therefore, this information will not be correctly reflected in the stock price until it is published. At this point, investors and traders take this new information into account, so the stock may bounce or fall depending on the nature of the news.
From the semi-strong efficiency information above, we can say that the information hidden in the company's published financial statements does not benefit the rest of the market.
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Charles and wilma have diffrent internet providers. Charles pays $0. 25 per gigabyte of data. Wilma pays a flat fee of $20 and $0. 05 per gigabyte How many gigabytes of data must each use for charles internet bill to be equal to wilma's interet bill
100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.
What is the Intercept of the equations?Assume that there are x gigabytes of data.
The equation for Charles is y = 0.25x since he pays $0.25 for each gigabyte of data.
The calculation for Wilma is y = 0.05x + 20 because she pays a flat rate of $20 and $0.05 per gigabyte.
Charles must pay the same amount for internet service as Wilma, so;
0.25x = 0.05x + 20
0.2x = 20
x = 20/0.2
x = 100
Hence, 100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.
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According to Cavalieri’s Principle, which pair of shapes would have equal volumes?
Question 5 options:
a)
a cylinder and a sphere with the same radius
b)
a cone and a cylinder with equal base areas and heights
c)
a cylinder and a right rectangular prism with equal heights
d)
a cone and a pyramid with equal base areas and heights
a cone with a pyramid with equal base areas and height
Cavalieri's principle tells us about the volume of two shapes. The correct option is a cylinder and a right rectangular prism with equal heights.
What is Cavalieri's principle?According to Cavalieri's principle if two objects have the same height and same base area throughout their heights, then the volume of both objects would be the same.
As we know according to Cavalieri’s Principle, the object should have the same height. Also, the area of the object should be the same throughout the height, but since in a cone the area is gradually decreasing towards the top, and the area of the sphere is also decreasing about the top and the bottom of the sphere. therefore, the options with the object such as cone and sphere are not the correct options.
Thus, the correct option is a cylinder and a right rectangular prism with equal heights as shown in the below image.
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You have $2000 saved for a cruise. Your airplane ticket is $437. You want to go on an excursion at one of the cruise ship stops that costs $400. How much money do you have left for spending?
Answer:
1163
Step-by-step explanation:
2000-437-400=1163
Answer:
1163$
Step-by-step explanation:
Your airplane ticket is 437$ and the cruise costs 400$. You need to find how much money left after you buy those two things. Therefore, you need to add 437 and 400 then subtract that from 2000. 400+437=837. 2000-837=1163
Hope this Helps! :)
~Happy Halloween~
How do you calculate the circumference of a sphere if you only have thd measurements of the diameter
Hope it helps .
Step-by-step explanation:
Solve the equation for the diameter of the circle, d= C/π. In this example, "d = 12 / 3.14." or "The diameter is equal to twelve divided by 3.14." Divide the circumference by pi to get the answer.
Answer:
Solve the equation for the diameter of the circle, d= C/π. In this example, "d = 12 / 3.14." or "The diameter is equal to twelve divided by 3.14." Divide the circumference by pi to get the answer. In this case, the diameter would be 3.82 inches.