Based on the concept of measurement, the decimal equivalent is 0.75.
To start, it is important to understand that time is a form of measurement that can be expressed in a variety of ways, including hours, minutes, seconds, and even fractions of seconds. Decimals are also a common way to express time, especially in situations where precision and accuracy are important.
To convert 45 minutes into a decimal, you need to first understand the relationship between minutes and hours.
There are 60 minutes in one hour, which means that 45 minutes is equivalent to 0.75 hours
=> (45/60 = 0.75).
Once you have this decimal equivalent, you can express it in a variety of ways, depending on the context.
If you were measuring time in terms of a workday (i.e. 8 hours), 0.75 hours would be equal to 45 minutes. On the other hand, if you were measuring time in terms of a percentage of an hour (i.e. 100%), 0.75 hours would be equal to 75%.
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y=80(1.3)^x growth or decay
The +equation represents exponential growth
What is the exponential functions?
An exponential function is a mathematical function that has the form f(x) = a*b^x, where a and b are constants, and x is the independent variable.
The equation y = 80(1.3)^x represents exponential growth.
In this equation, "y" represents the value of the function at a given time or input, "x" represents the time or input, and "1.3" is the growth factor, which is greater than 1.
As "x" increases, the value of the function "y" grows at an increasing rate. This is because the growth factor is greater than 1, which means that each input value results in a larger output value than the previous one.
Hence, this equation represents exponential growth.
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What is the conversion of 6,25% as a fraction?
After converting 6.25% into fraction we get 16/256 or 1/16.
The percentage means divied by hundred.
A fraction consists of two parts one is the numerator and other is denominator.
Where the number which is written in upper most part of the line is called numerator, and the number bottom most part of the line is called denominator.
To convert a percentage into a fraction divide the percentage by 100,
And simplify the resulting fraction.
So,
To convert 6.25% to a fraction,
We divide 6.25 by 100:
6.25% ÷ 100 = 0.0625
Divide by 0.0625
0.0625 ÷ 0.0625 = 1
1 ÷ 0.0625 = 16
Therefore, After simplification 6.25% is equal to 16/256 or 1/16.
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how many different triangles can be constructed with angles that measure 120, 40, and 60
Answer:
It would be zero
Step-by-step explanation:
etermine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. Weight of subject (kg) Choose the correct answer below. O A. The ordinal level of measurement is most appropriate because the data can be ordered, but differences (obtained by subtraction) cannot be found or are meaningless. OB. The nominal level of measurement is most appropriate because the data cannot be ordered. OC. The ratio level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, and there is a natural zero starting point. OD. The interval level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, but there is no natural zero starting point.
The correct option is (A) The ordinal level of measurement is most appropriate because the data can be ordered, but differences cannot be found or are meaningless.
The ordinal level of measurement is most commonly used when dealing with data that can be ordered, but the differences b/w the data points are not significant or cannot be determined. This type of data is commonly used when looking for ranking or grading data.
For example In customer satisfaction surveys, or when categories are assigned values, like when a student's performance in a class is assigned a letter grade. With the ordinal data, the values are ordered in a meaningful way, but the differences between the values are not necessarily significant.
For example, if you assign a letter grade to a student's performance, difference between an A and a B is not importantly difference among C and D. This type of data is useful for finding a quick and easy way to compare data points, but this gives no information about the actual differences between the data points.
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A 19 ft rope is tied from the top of a tent pole to a stake 11 ft away. To the nearest degree, what is the angle of elevation from the stake up to the tent pole?
The angle of elevation from the stake up to the tent pole is, 54.55°.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A 19 ft rope is tied from the top of a tent pole, It is the hypotenuse length.
Also, The state is 11 feet away and it is the adjacent length.
We know, cos = adjacent/hypotenuse.
cos = 11/19.
Ф = cos⁻¹(0.58).
Ф = 54.55°.
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what is calculator of simplifying fractions
A calculator for simplifying fractions is a tool that can be used to reduce a fraction to its simplest form or lowest terms.
The process of simplifying a fraction involves finding the greatest common factor of the numerator and the denominator and then dividing both by that factor. This results in a fraction that has been simplified as much as possible. A calculator of simplifying fractions can perform this calculation automatically, making it a quick and easy way to simplify fractions.
This tool can be especially helpful for those who struggle with math, or for those who need to perform a large number of calculations quickly and accurately. Many online calculators are available for free and can simplify fractions in seconds.
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Enter a range of values for x. + 42° 3x+15 3x+15° 23 21 [ ? ]
The value of x is given as follows:
x = 9.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.Similar triangles have congruent angle measures, and the angles of 3x + 15º and 42º are congruent, hence the value of x is obtained as follows:
3x + 15 = 42
3x = 27
x = 9.
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What is the conversion of 15 cm to inch ?
The value of centimeter to inches is converted by the conversion factor of 2.54 so 15 cm is 5.9 inches.
The conversion factor of 0.393701 can be used to change a measurement from centimetres (cm) to inches (in). To find the number of inches, multiply the number of centimetres by 0.393701. In this instance, 11.42 inches are equal to 29 cm multiplied by 0.393701.
It's crucial to remember that this conversion is based on the International System of Units (SI), and it could not be the same in other measurement systems. Also, it is important to remember that centimetres (cm) and inches (in) are units of measurement for length and not for other types of measures like mass, area, or volume.
Use the proper unit of measurement for the activity or the environment; failing to do so could result in mistakes and inaccurate results. Also, it's crucial to ensure that the measurements are taken on the same scale, as doing otherwise could result in inaccurate conversions. While inches are primarily utilised in the United States and the United Kingdom, centimetres are extensively used across the rest of the world.
When determining smaller lengths or widths, such as for clothing or paper size measurements, this conversion is frequently used.
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3 dotted horizontal and parallel lines are shown. Point Q is at the far left side of the top line, point R is at the far right of the second line, and point S is at the far left side of the bottom line. Lines are drawn from point Q to point R and from point R to point S. The angles formed are labeled, from top to bottom: 1, 2, 3, 4.
Use the diagram to complete the statements.
The angle of depression from point R to point S is angle
.
The angle of elevation from point S to point R is angle
.
Angle 2 is the angle of elevation from
.
Angle 1 is the angle o
The angle of depression from point R to point S is ∠3.
The angle of elevation from point S to point R is ∠4.
∠2 is the angle of elevation from point R to Q
∠1 is the angle of depression from point Q to R.
What is an angle of elevation?
The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
From the the diagram it can be stated that:
The angle of depression from point R to point S is ∠3.
The angle of elevation from point S to point R is ∠4.
∠2 is the angle of elevation from point R to Q
∠1 is the angle of depression from point Q to R.
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How to convert convert meters to miles?
To convert any number of meters to miles, you simply need to multiply the number of meters by this conversion factor 0.000621371192
The conversion factor from meter to miles is 0.000621371192
1 meter = 0.000621371192 miles
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
So, to convert meter to miles you can multiply the number of kilometers by 0.000621371192
The distance in miles = conversion factor × The distance in meters
Therefore, the steps to convert meter to miles has been explained
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The Pickle Family had 10 1/2 pounds of candy to fill 4 pinatas. Each pinata would have 6 kids sharing the candy that fell from it. How much candy would each child get?
Each child would get 7/8 of a pound of candy from each pinata.
To find out how much candy each child would get, we need to first determine the total amount of candy in all four pinatas, and then divide that amount by the total number of kids who will be sharing the candy.
To start, we can convert the 10 1/2 pounds of candy into a mixed fraction:
10 1/2 = 10 + 1/2 = 20/2 + 1/2 = 21/2
So the Pickle Family had 21/2 pounds of candy to fill the pinata.
To find out how much candy each piñata would have, we can divide the total amount of candy by the number of piñatas:
21/2 ÷ 4 = 21/2 × 1/4 = 21/8
So each pinata would have 21/8 pounds of candy.
Now we need to determine how much candy each child would get. Since each pinata will be shared among 6 kids, we can divide the amount of candy in each pinata by 6:
21/8 ÷ 6 = 21/8 × 1/6
= 7/8
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Find the equation of a line perpendicular to y=−4x+4 that contains the point (5,−1).
The equation of the line perpendicular to y = -4x + 4 that contains the point (5, -1) is y = 1/4x - 9/4.
The given equation is y = -4x + 4, which is in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
To find the slope of the given line, we can compare it to the slope-intercept form and see that the slope is -4.
Since we want to find the equation of a line that is perpendicular to the given line, we know that its slope will be the negative reciprocal of -4.
The negative reciprocal of -4 is 1/4, so the slope of the perpendicular line is 1/4.
Now we have the slope of the line and a point that it passes through, so we can use the point-slope form of a line to write the equation:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope we just found.
Plugging in the values, we get:
y - (-1) = 1/4(x - 5)
Simplifying this equation, we get:
y + 1 = 1/4x - 5/4
Subtracting 1 from both sides, we get the final equation:
y = 1/4x - 9/4
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Look at the data under PURCHASE BEHAVIOR. How often do consumers in this segment purchase a backpack? Purchase behavior last quarter - 23% : a. Once every 6 years b. Once every 3 years c. Once every year d. Once every 2 years e. Once every 5 yrs
By looking at the data under PURCHASE BEHAVIOR, we can see that the consumers in this segment purchase a backpack at a range of purchase every five years. The Option E is correct.
What determines a Consumer purchase interval?We have several factors that can determine a consumer's purchase interval, including:
Product usage: How frequently a product is used or consumed can influence the consumer's purchase interval. If a product is used frequently, the consumer may need to purchase it more often.Product durability: The durability of a product can impact the purchase interval. If a product is durable and lasts a long time, the consumer may not need to purchase it as frequently.Price: The price of a product can also determine the purchase interval. If a product is expensive, the consumer may wait longer before making another purchase.Consumer behavior: Consumer behavior, such as brand loyalty or habit, can also influence the purchase interval. Consumers who are loyal to a particular brand may purchase that brand more frequently, while others may be more open to trying different brands and products etc.Read more about Consumer
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Answer:
Step-by-step explanation:
answer is c. once every year
what is 21% of .31 with work shown
Answer:
0.0651
Step-by-step explanation:
To find 21% of 0.31, we can use the following formula:
21% × 0.31
We can convert the percentage to a decimal by dividing by 100:
0.21 × 0.31
Multiplying these two numbers, we get:
0.0651
Therefore, 21% of 0.31 is 0.0651.
Round off 836534 into 2 SD.
The rounded off form of the number 836534 into 2 Significantly digits as required is; 840000.
What is the rounded off form of 836534 into 2 SD?It follows from the task content that the number 836534 is to be rounded into 2 significant digits as required.
On this note, since the given number is; 836534.
The 2 greatest place value digits are 8 and 3. Hence, the third digit is considered to round the number off.
Since the third digit is 6, it is rounded to 1 and added to 3 so that the rounded off form of the given number to 2 SD is; 840000.
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Rounding off 836534 into 2 significant fiqure will give us 840000.
How can we ound Off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.
Round up if the number you're rounding has a 5, 6, 7, 8, or 9. For instance, 30 is equal to 28, rounded to the nearest tens place. Round down if the number you are rounding has a 0, 1, 2, 3, or 4 after it. For instance, 10 is the result of rounding 13 to the nearest ten.
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Wendell is working with the equation y=1.6^(x-1)+20 in a science class that represents the growth of a certain population of bacteria. Wendell could insert a 11 into this equation and get an answer of 129.95. So Wendell knows that after 11 days there would be a population of about 129.95 bacteria. Wendell would really love an equation that tells him the reverse of this (the inverse). Meaning Wendell could put a 129.95 into the equation and get 11 out as the answer. Create the inverse function and explain everything that you did to create this. If you simply give the correct answer without any explanation it will be marked incorrect. Three hints: It has something to do with logs. A graphical approach to this would be to graph the original, ask yourself how the "minus 1" and "plus 20" shifted the graph, and then think about how the inverse needs to adjust. An algebraic approach would be to swap the x and y values of the original and go from there. Either way, check your answer when you're done!
The inverse function of the given function which gives the value of the number of days when the population of bacteria is known is:
f ⁻¹(x) = log₁.₆(1.6x - 32)
What is an inverse function?
A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function. The output of a function is returned by the inverse function, which also returns the initial value. A function that can reverse into another function is known as an inverse function or anti function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y.
The given function is:
[tex]f(x) = 1.6^{x-1} + 20\\[/tex]
[tex]y = 1.6^{x-1} + 20\\[/tex]
Now we are asked to find the inverse of this function.
That is, we have to write x in terms of y.
And then substitute the y back with x, to write as an inverse function
f ⁻¹(x).
[tex]y = 1.6^{x-1} + 20\\[/tex]
y - 20 = [tex]1.6^{x-1}[/tex]
y-20 = 1.6ˣ / 1.6
1.6y - 1.6 * 20 = 1.6ˣ
1.6y - 32 = 1.6ˣ
x = log₁.₆(1.6y - 32)
Therefore the inverse function of the given function which gives the value of the number of days when the population of bacteria is known is:
f ⁻¹(x) = log₁.₆(1.6x - 32)
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the radius of a sphere was measured and found to be 21 cm with a possible error in measurement of at most 0.03 cm. what is the maximum error in using this value of the radius to compute the volume of the sphere?
The maximum error in using the value of the radius to compute the volume of the sphere is approximately 554.86 cubic centimeters.
What is sphere ?
A sphere is a three-dimensional shape that is perfectly round, with all points on the surface at an equal distance from the center.
The formula for the volume of a sphere is given by V = (4/3)πr³, where r is the radius of the sphere.
The maximum error in the measurement of the radius is given as 0.03 cm. Therefore, the actual radius of the sphere can be anywhere between 20.97 cm (21 - 0.03) and 21.03 cm (21 + 0.03).
To find the maximum error in using this value of the radius to compute the volume of the sphere, we need to find the maximum possible difference in the volumes calculated using these two values.
So, we can calculate the volume of the sphere using the maximum and minimum values of the radius as follows:
V_max = (4/3)π(21.03)³
V_min = (4/3)π(20.97)³
Now, we can find the difference between these two values to get the maximum possible error:
Max error = V_max - V_min
Max error = (4/3)π(21.03)³ - (4/3)π(20.97)³
Max error ≈ 554.86 cubic centimeters
Therefore, the maximum error in using the value of the radius to compute the volume of the sphere is approximately 554.86 cubic centimeters.
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Please complete problems 2 and 3.
- Show your work.
- Label each answer
Please, refer to the attached image
The values of the variables are x = 38 and x = 14
How to determine the values of the variablesTriangle 1
From the question, we have the following parameters that can be used in our computation:
The triangle
Where, we have
x - 2 : 27 = 4 : 3
This gives
(x - 2)/27 = 4/3
This gives
x - 2 = 36
This gives
x = 38
Triangle 2
Here, we have
13/3x = 7/(2x - 5)
Cross multiply
26x - 70 = 21x
So, we have
5x = 70
Divide
x = 14
Hence, the value of x is 14
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Mr. shaw graphs the function f(x) = –5x 2 for his class. the line contains the point (-2, 12). what is the point-slope form of the equation of the line he graphed? y – 12 = –5(x 2) y – 12 = 2(x 2) y 12 = 2(x – 2) y 12 = –5(x – 2)
Answer:
y - 12 = -5(x + 2)
Step-by-step explanation:
how to convert 1m to inches?
One meter is equal to 39.3701 inches
To convert 1 meter to inches, we can use the following formula:
1 meter = 39.3701 inches
The conversion factor is 39.3701
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
Therefore,
The length in inches = conversion factor × The length in meter
Substitute the values in the equation
1 meter = 39.3701 × 1
Multiply the numbers
= 39.3701 inches ( rounded to four decimal places )
Therefore, one meter is 39.3701 inches
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Write the standard form of the equation of each line.
1) y=3x+1
2) y=-9/5x+3
helppppp plsssss
Answer:
Step-by-step explanation:
(1)To write this in standard form, we want the x and y terms on the same side of the equation and the constant on the other side. To do this, we can subtract 3x from both sides:
-3x + y = 1
So the standard form of the equation is:
-3x + y = 1
(2)y = -9/5x + 3
To write this in standard form, we want to eliminate the fraction by multiplying both sides by the denominator (5):
5y = -9x + 15
Next, we can move the x term to the left side by adding 9x to both sides:
9x + 5y = 15
So the standard form of the equation is:
9x + 5y = 15
Linda's Dog Walking Service
Cost ($)
5 8 8 8 8
50
30
20
0
20 40 60 80 100 120
# of minutes
According to the graph the value of the Dog Walking Service would be $0.75 per minute.
How to know the value per minute of Linda's service?To know the value per minute of the Dog Walking Service offered by Linda we must carry out the following mathematical procedure:
Rule of three.If every 20 minutes is worth $15, how much is each minute worth?
To do this we must follow the following rule of three:
20 minutes = $151 minute = ?1 * 15 / 20 = $0.75Additionally, we must take into account that according to the graph, the value per minute decreases if we contract more hours of service. For example, with 40 minutes of service it would be worth 0.5 each minute.
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What is 729 cube rooted?
The value of 729 cube root is 9.
The cube root function is important in various mathematical applications, including calculus, geometry, and physics.
The cube root of 729 is the number that when multiplied by itself three times, results in 729. This number is often represented as the symbol ³√729.
In other words, if we cube the cube root of 729, we get back the original number 729. The cube root of 729 is 9, since 9 x 9 x 9 = 729.
In mathematical terms, the cube root of 729 can be expressed as: ³√729 = 9.
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Express the following fraction in simplest form using only positive exponents. \frac{12u^{10}}{4(u^{3})^4}
4(u
3
)
4
12u
10
The simplified form of the fraction is 3/u², where u is a positive real number.To simplify this fraction, we can first simplify the denominator by using the exponent rule that says: [tex](a^{m}) ^{n} =(a^{m*n})[/tex]. Applying this rule, we get:
4(u³)⁴ = 4u³*⁴ = 4u¹²
Now, we can substitute this value back into the original fraction and simplify further:
(12u¹⁰)/(4(u³)⁴) = (12u¹⁰)/(4u¹²)
We can simplify the fraction further by dividing both the numerator and the denominator by the greatest common factor (GCF) of 12 and 4, which is 4. Also, we can simplify the exponent by using the exponent rule that says: [tex]\frac{a^{m} }{a^{n}} =a^{m-n}[/tex]. Applying these steps, we get:
(12u¹⁰)/(4u¹²) = (3u¹⁰)/(u¹²) = 3/u²
Therefore, the simplified form of the fraction is 3/u², where u is a positive real number.
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I need help with the blank boxes please :]
Answer:
1) What are your options?
2) 847,200
3) 6.7 × 10^5
Step-by-step explanation: You always move the decimal until you get to the first digit after zeroes and then x 10 and the power is how many times it took to place the decimal in front of the number.
6 × 20.16 this is very hard fo rmy lil brothr
Answer:
Step-by-step explanation:
120.96
Mathematics word problem. Working out would be really helpful. 20 points
Answer:
d = 86e = 94Step-by-step explanation:
You want the measures of angles d° and e° in the given figure.
AssumptionsUsually, geometry problems tell you not to assume anything that isn't marked or stated regarding the figure. In order to answer this question, we need to assume ...
∆ACD is isosceles∆ABE ~ ∆ACDIsosceles triangleThe base angles in an isosceles triangle are congruent. That means each of them is the complement of half the vertex angle.
∠D = 90° -1/2∠A = 90° -8°/2 = 86°
The segments CD and BE are parallel, so angle E is the supplement of angle D:
∠E = 180° -86° = 94°
The angle measures are d° = 86° and e° = 94°.
__
Additional comment
This is not a "word problem." All of the relations necessary for answering the question are shown in the diagram, not stated in words. (The question is necessarily written in words—for any problem.)
If b is a base angle and v is the vertex angle of an isosceles triangle, then the sum of angles is ...
b + b + v = 180°
2b = 180° -v . . . . . . subtract v
b = 90° -v/2 . . . . . . divide by 2
Effectively, the altitude of an isosceles triangle bisects the vertex angle and creates two congruent right triangles. The acute angles in that triangle are the original base angle and half the vertex angle. They are complementary.
Evaluate: E^10n=1 8(1/4)^n-1=[?]
Therefore, the value of the expression E¹⁰ⁿ=1 8(1/4)ⁿ⁻¹ is 27.
What is fraction?A fraction is a way of representing a part of a whole or a ratio between two quantities. It is written as two numbers, one above the other, with a horizontal line separating them. The number above the line is called the numerator and the number below the line is called the denominator. For example, the fraction 3/4 represents three parts out of four equal parts, or the ratio of three to four. Fractions can be used to represent a wide range of values, including numbers between whole numbers (such as 1/2 or 3/5), ratios between quantities (such as 2/3 cups of flour to 1 cup of sugar), and percentages (such as 75/100, which is equivalent to 75%, or three-quarters). Fractions are an important concept in mathematics and are used in many different contexts, such as in cooking, measurement, and finance.
Here,
The expression E¹⁰ⁿ=1 8(1/4)ⁿ⁻¹ means we need to evaluate the sum of the expression 8(1/4)ⁿ⁻¹, as n ranges from 1 to 10.
To do this, we can simply substitute each value of n into the expression and add up the results. Here are the first few terms of the sum:
n = 1: 8(1/4)⁰ = 8
n = 2: 8(1/4)¹ = 2
n = 3: 8(1/4)² = 1/2
n = 4: 8(1/4)³= 1/8
We can continue this pattern for the remaining values of n, and then add up all the terms:
8 + 2 + 1/2 + 1/8 + ... + (1/4)⁹
To simplify this expression, we can use the formula for the sum of a geometric series:
S = a(1 - rⁿ) / (1 - r)
where S is the sum of the series, a is the first term, r is the common ratio, and n is the number of terms.
In this case, the first term is 8, the common ratio is 1/4, and there are 10 terms. So we can substitute these values into the formula to get:
S = 8(1 - (1/4)¹⁰) / (1 - 1/4)
S = 8(1 - 1/1048576) / (3/4)
S = 8(1048575/1048576) * (4/3)
S = 8 * (3495250/1048576)
S = 27
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the area of a rectangle is 42 square inches and one side is 12 inches long. Find the peremiter of the rectangle. Show your work
Answer:
The area is one side times the other side
Make the other side x.
12x=42
x=42/12=3.5
The perimeter is 2x+2y where x and y are sides of the rectangle.
P= 2(3.5)+2(12)=7+24=31 inches
Hope this helps.
Answer: 3.5
Step-by-step explanation:
42/12 = 3.5
Wally is employed as an executive with Pay More Incorporated. To entice Wally to work for Pay More, the corporation loaned him $20,000 at the beginning of the year at a simple interest rate of 1 percent. Wally would have paid interest of $2,400 this year if the interest rate on the loan had been set at the prevailing federal interest rate.b. Assume instead that Pay More forgave the loan and interest on December 31. What amount of gross income does Wally recognize this year?
Answer:18000$
Step-by-step explanation:
