Answer:
7 of 100 parts have been shaded, and 7 hundredths is written as 0.07
Step-by-step explanation:
Note that we have a grid of 100 squares and 7 of those squares are shaded. We can represent the shaded portion by saying 7/100 which is equivalent to .07.
With this information, we can say 7 out of 100 is shaded and is representative of 7 hundredths.
Note that each digit after the decimal is a multiple of (1/10). We can express this as (1/10)^n where n is the digit place after the decimal.
In this case, we have 7, two digits after the decimal so it will be equivalent to 7 * (1/10)^2 = 7 * (1/100) = 7/100.
Cheers.
what is the circumference of the following circle? make sure to use 3.14 for pi and label your answer in units.
r = 1
Answer:
what is the unit of the radius
Step-by-step explanation:
it is 2 pi r
so 2×3.14×1
=6.2831
Answer:
6.28 units
Step-by-step explanation:
\(\boxed{circumference \: of \: circle =2 \pi r}\)
Given that r= 1,
circumference of circle
= 2(3.14)(1)
= 6.28 units
Policies Current Attempt in Progress On May 1, 2021, Sheffield Company sells office furniture for $300000 cash. The office furniture originally cost $746800 when purchased on January 1, 2014. Depreciation is recorded by the straight-line method over 10 years with a salvage value of $80200. What gain should be recognized on the sale? (Hint: Use 7.333333 for years used in calculation.) O $44540. O $22220. O $84080. O $42040. Save for Later -/5 = 1 Attempts: 0 of 1 used Submit Answer
To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.
First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.
Depreciation per year = (Cost - Salvage Value) / Useful Life
Depreciation per year = ($746,800 - $80,200) / 10 years
Depreciation per year = $66,160
Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.
Accumulated Depreciation = Depreciation per year × Years
Accumulated Depreciation = $66,160 × 7.33 years
Accumulated Depreciation = $484,444.80
Now, we can calculate the book value of the furniture:
Book Value = Cost - Accumulated Depreciation
Book Value = $746,800 - $484,444.80
Book Value = $262,355.20
Finally, we can calculate the gain on the sale:
Gain on Sale = Sale Price - Book Value
Gain on Sale = $300,000 - $262,355.20
Gain on Sale = $37,644.80
Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.
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The gain that should be recognized on the sale of the office furniture is $84,080.
The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.
Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.
For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420
Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.
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The table shows the type of super power that 36 students wish they had. Each student could only pick one super power.
The only statements that is true about the information on the table are:
The ratio of students who wish they had flight to those who wish for invisibility -Ratio 2:3. All other statements/ratios are false/incorrect.How do we get the ratio of students who wish they had flight to those who wish for invisibility?
Ratio is simple math.
The number of people who wish for invisibility are: 12 ; while
The number of people who wish for flight are: 8
Thus the ratio will be given as:
8/12 further simplified by dividing by 4, we have
(8/4) : (12/4)
= 2:3
Hence, only the last statement is true.
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Answer: the first box should have 1:6 in it, the second, 2:9, and the last should have 2:3 in it
hope this helped :)
what is 38.61 + 36.481
Answer:
75.091
Step-by-step explanation:
Greta has two pet lizards draco and lizzy for every 11 crickets Greta feeds draco she always feeds lizzy 8 crickets last week Greta fed draco 77 crickets
greta fed lizzy 56 crickets
Answer:
She feeds Lizzy 56 crickets when she feeds Draco 77.
Step-by-step explanation:
Lets put it as an equality:
\(\frac{11}{8}\) = \(\frac{77}{x}\)
We want to solve for x. We can do so by finding how much larger the second fraction is than the first. In this case, 77 is 7 times larger than 11 (77/11=7), so we know that x must also be 7 times larger than 8 (because the fractions are proportional).
Since x is 7 times larger than 8, we can use 7 times 8 to find the value.
7 times 8 is 56
56 crickets for Lizzy!
Hope this helps and makes sense!
How do I solve n+6 for n=9
Answer:
15
Step-by-step explanation:
n + 6
for
n = 9
then:
9 + 6 = 15
15
Step-by-step explanation:
n = 9
n + 6 = 9 + 6 = 15
mark as brainlist answer
HELP ME PLEASE FOTO ABOVE
write an expression for 8 less than 2 times a number
show your work
Answer:
Step-by-step explanation:
Let's call the number x. The statement "...2 times a number" if the number is x looks like this:
2x
"8 less than" that looks like this:
... - 8
Putting the whole thing together:
2x - 8
I got a very large number instead of equaling 180.
Answer:
mAngleFDE = 92°
Step-by-step explanation:
Angle BDC and Angle FDB are supplementary angles, that is they add up to 180° So we can write an equation. Solve for x. Then find AngleBDC. AngleBDC and AngleFDE are equal because they are vertical angles.
8x+12+12x-32 = 180°
Combine like terms.
20x - 20 = 180
Add 20.
20x = 200
Divide by 20.
x = 10
AngleBDC
= 8x + 12
= 8(10) + 12
= 80 + 12
= 92°
AngleFDE
= AngleBDC
= 92°
Looks like the picture is not drawn to scale, but no worries. The math is all good.
Determine values for k for which the following system has one solution, no solutions, and an infinite number of solutions. 2x+4y=20 3x + 6y = 30
The system will have an infinite number of solutions for any value of k.
What is the value of k?
The values of k for which the system has one solution, no solutions, or an infinite number of solutions is calculated as follows;
The given equation;
2x + 4y = 20 ------- (1)
3x + 6y = 30 --------(2)
Simplify equation (1) and (2) as follows;
2x + 4y = 20
x + 2y = 10
From equation (2), the simplified equation as;
3x + 6y = 30
x + 2y = 10
Now we have the following system;
x + 2y = 10
x + 2y = 10
The two equations are the same, thus, the system will have an infinite number of solutions for any value of k.
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re-prove the result of problems iv, question 13 that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic.
Using the fundamental theorem of arithmetic, we have proven that (a, 6) [a, b] = ab for positive integers a and b.
To prove that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic, we'll proceed as follows:
Step 1: Prime factorization of a and 6:
Using the fundamental theorem of arithmetic, we can write a and 6 as products of their prime factors:
a = p1^k1 * p2^k2 * ... * pn^kn,
6 = 2^1 * 3^1.
Step 2: Finding the greatest common divisor (a, 6):
To find the greatest common divisor (a, 6), we consider the common prime factors between a and 6 and take the minimum exponent for each prime factor. In this case, the common prime factor is 2 with an exponent of 1. Therefore, (a, 6) = 2^1.
Step 3: Prime factorization of [a, b]:
Using the fundamental theorem of arithmetic, we can write [a, b] as a product of its prime factors:
[a, b] = p1^m1 * p2^m2 * ... * pn^mn.
Step 4: Finding the least common multiple [a, b]:
To find the least common multiple [a, b], we consider the prime factors between a and b and take the maximum exponent for each prime factor. In this case, we have already determined that the common prime factor is 2 with an exponent of 1. Therefore, [a, b] = 2^1.
Step 5: (a, 6) [a, b] = ab:
Substituting the values we found, we have:
(a, 6) [a, b] = 2^1 * 2^1 = 2^2 = 4.
Since ab = 4, we have proven that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic.
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What does decreasing interval mean?
Answer:
The section of a parabola that shows a falling curve with decrease in the y values of the graph is known as the decreasing interval of the quadratic function
Step-by-step explanation:
Complete the sentence.
The horizontal asymptote of f(x) = 0.8x is y = 0.
The horizontal asymptote of h(x) = 0.8x– 10 is y =
The functions are not fractions and do not have a denominator so there is no horizontal asymptote.
The answer is 0
Answer: the answer is -10
Step-by-step explanation:
the asymptote is always k
y = f(x+k) or y = f(x-k)
As the sample size becomes larger, the sampling distribution of the sample mean approaches a _____ distribution.
As the sample size becomes larger, the sampling distribution of the sample mean approaches a normal distribution.
In the theory of probability, the central limit theorem states that the distribution of a sample mean approximates a normal distribution as the size of the sample increases. For the central limit theorem to hold, it is necessary that the sample size at least cross a margin of 30. Having a sufficiently larger sample size can predict the characteristics of the sample more accurately. The central limit theorem is applicable when we are analyzing large data sets.
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An architect drew a 12 inch line to represent the length of a 30-foot room. If the line that represents the width of the room is 8 inches long, how wide is the actual room?
Answer:
20 foot
Step-by-step explanation:
12i=30f
So
2i=5f (divide both sides by 6)
So
8i=20f (multiply both sides by 4)
Answer:
20 feet
Step-by-step explanation:
12/30 = 8/x
(8 * 30/ 12 = 20
URGENT AND EASY 8TH GRADE MATH
Answer:
k<-62/7
Step-by-step explanation:
I hope it helps.
Answer:
k> 56
Step-by-step explanation:
-35 -k + 6< -85
-29-k < -85
+29 +29
_______________
-k> -56
/-1
k> 56
he shape is a cuboid.
Find the surface area of the cuboid in cm.
100 cm = 1cm
Answer:
1830
Step-by-step explanation:
2 (lb + bh + lh)
2(3×25 +25×30+30)
Help me please !!!!!!!!
Answer:
jfjgdkgksgkdsgkd
Step-by-step explanation:
4Gopal is paid 20 000 rupees each month.
Jamuna is paid 19 200 rupees each month
Gopal and Jamuna are both given an increase in their monthly pay.
After the increase, they are both paid the same amount each month.
Gopal was given an increase of 8%
Work out the percentage increase that Jamuna was given.
For each question below, determine True or False: If a simple random sample is chosen with replacement, each individual has
the same chance of selection on every draw.
The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.
If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.
The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.
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Amanda goes shopping on Monday for water to sell at the ball game. She has $30.00. After buying 15 water bottles, she had $7.50 left. How much did each water bottle cost?
The cost of each water bottle is $1.5.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Amanda has $30.00. After buying 15 water bottles, she had $7.50 left.
Money used to buy water bottles = 30-7.50
= $22.5
Cost of each water bottle = 22.5/15
= $1.5
Therefore, the cost of each water bottle is $1.5.
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At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.11 and the probability that the flight will be delayed is 0.14. The probability that it will not rain and the flight will leave on time is 0.76. What is the probability that the flight would be delayed when it is raining? Round your answer to the nearest thousandth.
Since probabilities cannot be negative, we can conclude that the given probabilities are inconsistent or there might be an error in the information provided. Please verify the values and provide correct probabilities so that we can accurately calculate P(B|A), the probability of the flight being delayed when it is raining.
Let's denote the events as follows:
A: It will rain
B: The flight will be delayed
We are given the following probabilities:
P(A) = 0.11 (probability of rain)
P(B) = 0.14 (probability of flight delay)
P(A'∩B') = 0.76 (probability of no rain and on-time departure)
We can use the probability formula to calculate the probability of the flight being delayed when it is raining, P(B|A), which is the probability of B given A.
We know that:
P(B|A) = P(A∩B) / P(A)
To find P(A∩B), we can use the formula:
P(A∩B) = P(A) - P(A'∩B')
Substituting the given values:
P(A∩B) = P(A) - P(A'∩B')
P(A∩B) = 0.11 - 0.76
P(A∩B) = -0.65
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120 students of a hostel food enough for 60 days. if 30 more students joined after 15 days. how long will the remaining food last.
Answer:
24 days
Step-by-step explanation:
120 students =30 days
120+30 =150 students
MORE/LESS METHOD
120 students (a) : 30 days(y)
150 students (b) : x
Find the value of x using the formula: a/b × y
If you think the value of x will be more than y then the bigger number will be the numerator. If u think x will be less, then the smaller number will be in the numerator.
I predict that x will be less than y
THEREFORE... 120/150 ×30
= 24 days
Step-by-step explanation:
ans is simple so plz tell me that it is right or wrong and also it is helpful to u or not
Pls help needed quickly
Answer:
x = 5.87 cm
Step-by-step explanation:
The triangle shown is a right triangle with congruent legs.
That makes it a 45-45-90 triangle.
The ratio of the lengths of the sides of a 45-45-90 triangle is
1 : 1 : √2
The length of either leg is hypotenuse/√2.
8.3 cm / √2 = 5.87 cm
Answer: x = 5.87 cm
the distance from the base of a flagpole to a point on the ground is 24 feet. the flagpole has a height of 18. what is x the distance from the top of the flagpole to the ground.
You can solve this by doing Pythagorean theorem. I think thats what its called... a^2+b^2=c^2. So 24 squared plus 18 squared is 900. The square root of 900 is 30. The legnth of the third side is 30.
The distance from the top of the flagpole to the ground is 30 feet.
What is Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
Given the distance from the base of a flagpole to a point on the ground = 24 feet
height of flagpole = 18 feet
the distance from the top of the flagpole to the ground is x
by Pythagorean theorem, we can find the distance
h² = b² + p²
h = hypotenuse = x
b = base = 24 feet
h = height = 18 feet
x² = 24² + 18²
x² = 576 + 324
x = √900
x = 30 feet
Hence the value of x is 30 feet.
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A network's physical topology describes how signals travel electronically.
a. true b. false
The statement is true. A network's physical topology refers to the arrangement of devices and cables that determine how signals travel electronically.
The physical topology of a network describes the physical arrangement of devices, cables, and other components that make up the network infrastructure. It defines how these elements are connected and how signals flow between them. The physical topology is concerned with the actual layout and structure of the network.
There are different types of physical topologies, including bus, star, ring, mesh, and hybrid topologies. In a bus topology, devices are connected to a central cable, and signals travel along the cable to reach their destination. In a star topology, devices are connected to a central hub or switch, and signals are transmitted from the source device to the hub/switch, which then distributes the signal to the destination device. A ring topology connects devices in a circular manner, where signals travel in one direction around the ring.
The physical topology determines factors such as signal propagation, fault tolerance, scalability, and network performance. It plays a crucial role in determining how efficiently and effectively signals travel electronically within a network. Therefore, the statement that a network's physical topology describes how signals travel electronically is true.
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I=Prt Future Value (maturity value) = Principal + Interest FV=PV+IFV=PV(1+rt) 11. Scheduled debt payments of $600 each are due three months and six months from now respectively. If interest at 10% is allowed, what single payment today is required to settle the two scheduled payments?
A single payment of approximately $289.16 is required today to settle the two scheduled debt payments of $600 each, due three months and six months from now.
The future value (FV) of the first payment of $600 due in three months can be calculated as FV = PV(1 + rt), where PV is the present value (single payment today), r is the interest rate, and t is the time period. In this case, the time period is three months, which is equivalent to 0.25 years, and the interest rate is 10% or 0.10.
Similarly, the future value of the second payment of $600 due in six months can also be calculated using the same formula, but with a time period of six months or 0.5 years.
To find the single payment required today to settle both payments, we add the future values of the two payments:
FV = PV(1 + rt) + PV(1 + rt)
Substituting the values into the equation, we get:
$600 = PV(1 + 0.10 * 0.25) + PV(1 + 0.10 * 0.5)
Simplifying further, we have:
$600 = PV(1 + 0.025) + PV(1 + 0.05)
$600 = 1.025PV + 1.05PV
$600 = 2.075PV
Dividing both sides of the equation by 2.075, we find:
PV = $600 / 2.075
PV ≈ $289.16
Therefore, a single payment of approximately $289.16 is required today to settle the two scheduled debt payments of $600 each, due three months and six months from now.
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Process capability determines whether a process is capable of producing the product or services that customers demand. Question content area bottom Part 1 True False
Process capability determines whether a process is capable of producing the product or services that customers demand is true.
Process capability is a statistical measure that determines the ability of a process to meet customer requirements and specifications.
It assesses whether the process is capable of producing products or services that consistently meet the desired quality standards.
To evaluate process capability, data is collected from the process and analyzed using statistical methods.
Key parameters such as process mean, process variation, and process limits are calculated to determine if the process is operating within acceptable limits.
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Which percent accurately reflect the white section in the circle?
A. 38%
B. 48%
C. 62%
D. 68%
The percent that accurately reflects the white section in the circle is 38%. So, the correct option is A).
To find the percentage of the circle that is white, we need to divide the area of the white region by the area of the entire circle and multiply by 100.
Looking at the diagram, we can see that the white region takes up about 3/8 of the circle, or 37.5% (since 3/8 is equal to 0.375 or 37.5%). This is closest to answer choice A, which is 38%.
Therefore, the percent that accurately reflects the white section in the circle is 38%.
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Urgent Help please: My neighbor just got two new cats and now she has more than 5 cats. How many cats did she have before?
Answer:
Wouldn't she have had 5 cats before? Adding 2 other cats would make it 7, which fits the "more than 5 cats" requirement.