A34*35
3456
=2340
Step-by-step explanation:
e=mc^2
what role do your needs and wants play when creating a budget?
Your needs are essential expenses such as rent, utilities, groceries, and transportation.
These should be prioritized in your budget as they are necessary for your survival. On the other hand, your wants are non-essential expenses such as eating out, entertainment, and shopping. While it is important to treat yourself, it is also important to allocate a reasonable amount of money towards your wants. Needs and wants play a crucial role in creating a budget. A budget helps allocate financial resources according to one's priorities. Needs are essential items required for daily living, such as housing, food, and utilities. Wants are desires or non-essential items, like vacations or entertainment. While creating a budget, it's important to prioritize needs over wants to ensure financial stability. Understanding the difference between the two and allocating funds accordingly helps in maintaining a balanced lifestyle, promoting healthy spending habits, and achieving long-term financial goals. A well-structured budget ensures that you can fulfill both your needs and some wants within the allotted resources.
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Needs and wants play a vital role in creating a budget by helping you prioritize your spending, make trade-offs, and allocate your financial resources effectively. By considering both your essential expenses and desired extras, you can create a balanced budget that reflects your financial goals and values.
When creating a budget, your needs and wants play a crucial role in determining how you allocate your financial resources. Here's how they factor in:
Identifying Needs: Your needs are the essential expenses required for your basic well-being and survival. These typically include housing, utilities, food, transportation, healthcare, insurance, debt repayments, and other necessary expenses. Understanding your needs helps you prioritize allocating funds to cover these essential costs first. Ensuring your needs are met is the foundation of any budget.
Prioritizing Wants: Wants, on the other hand, are things you desire or would like to have but are not essential for your survival or basic well-being. This category includes discretionary expenses such as entertainment, dining out, travel, hobbies, luxury items, and other non-essential purchases. While wants are not as critical as needs, they contribute to your overall quality of life. Allocating a portion of your budget for wants allows you to enjoy these extras within your financial means.
Trade-offs and Decision Making: Budgeting requires making decisions about how to allocate limited resources. By considering your needs and wants, you can evaluate trade-offs between various expenses. If your needs are not being fully met within your current budget, you may need to reduce or eliminate some wants temporarily to ensure your essential expenses are covered. On the other hand, if your needs are comfortably met, you have more flexibility to allocate funds toward wants or savings.
Flexibility and Adjustments: Needs and wants can evolve over time. When creating a budget, it's important to regularly reassess and adjust it to align with your changing circumstances and priorities. For instance, if your income increases, you might have more room to allocate additional funds toward wants or savings. Similarly, if your needs change, such as due to a job loss or a new family member, you may need to make adjustments to ensure your budget remains sustainable.
In summary, needs and wants play a vital role in creating a budget by helping you prioritize your spending, make trade-offs, and allocate your financial resources effectively. By considering both your essential expenses and desired extras, you can create a balanced budget that reflects your financial goals and values.
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In 2022, Skylar sold equipment for $99,800 cash and a $998,000 note due in two years. Skylar's cost of the property was $798,400, and he had deducted depreciation of $479,040.
How much gain can be deferred under the installment sale method?
So the amount of gain that can be deferred under the installment sale method is $424,879.16.
What is percent?Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.
Here,
To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.
Selling price = $99,800 cash + $998,000 note = $1,097,800
Adjusted basis = $798,400 - $479,040 = $319,360
Total gain = $1,097,800 - $319,360 = $778,440
To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:
Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%
Now we can calculate the amount of gain that can be deferred using the formula:
Gain deferred = Gross profit percentage × Payments received
Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:
$99,800 + ($998,000 / 2) = $598,800
Substituting into the formula, we get:
Gain deferred = 0.7097 × $598,800 = $424,879.16
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At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality. 500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10 Review Jamie's work. What was her error? Jamie should have used the less than or equal to sign when writing the inequality. Jamie should have reversed the inequality when using the division property of inequality. Jamie should have added 500 to both sides. Jamie should have started by dividing by –30.
Answer:
Jamie should have reversed the inequality when using the division property of inequality.
Step-by-step explanation:
Jamie wrote
500 − 30x ≥ 200
Subtract 500 from both sides
500-500-30x ≥ 200-500
-30x ≥ -300
Divide both sides by -30
x ≥ 10
Instead of reversing the inequality when using the division property of inequality
500 − 30x ≥ 200
Subtract 500 from both sides
500-500-30x ≥ 200-500
-30x ≥ -300
Divide both sides by -30
x <or= 10
the answer is B i hope this helps
^_^
Factoring expressions 3x+ 12
Answer:
3(x + 4)
Step-by-step explanation:
Factor out a 3 from both terms, since 3 and 12 are both divisible by 3.
3x + 12
3(x + 4)
So, the factored expression is 3(x + 4)
Answer: 3(x+4)
Step-by-step explanation:
Hii! Do you need to factor the expression 3x+12? No problem! :)
Note that, both 3x and 12 have something in common. This "something" is known as the greatest common factor, or g.c.f.
The g.c.f. of 3x and 12 is 3, so we divide both 3x and 12 by 3
x+4; next we put parentheses around x+4.
(x+4)
Now we put 3 outside the parentheses.
3(x+4)
Voila! There's our solution, cheers!
--
Hope that this helped! Best wishes.
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pls help!! What is the range of the function shown in the graph?
Answer:
C
Step-by-step explanation:
range definition: how far the graph goes down and up
the first arrow continues to travel down infinitely. DOWN MEANS NEGATIVE
the second arrow continues traveling right (positive); however, it does not change from 5. this means it continues to stay at the height of 5.
Inorganic Solids include a.)Sand, Grit, & Minerals b.) Sand, Grease, & Organics 7/88 c). Grease, Grit, & Organic Solids d.) Organic materials from Plants, Animals, or Humans e). Both a & d
Inorganic solids found in wastewater treatment processes primarily consist of sand, grit, and minerals. These substances are of mineral origin and do not contain carbon-hydrogen (C-H) bonds. Organic materials, such as grease and organic solids derived from plants, animals, or humans, are not classified as inorganic solids. Proper identification and separation of inorganic solids are important in wastewater treatment to ensure effective treatment and disposal of these substances.
Inorganic solids are substances that do not contain carbon-hydrogen (C-H) bonds and are not derived from living organisms. They are typically minerals or non-living materials found in nature.
a) Sand, Grit, and Minerals: Sand and grit are examples of inorganic solids commonly found in wastewater treatment processes. They are mineral particles that may enter the wastewater from various sources, such as soil erosion or industrial discharges. Minerals, which encompass a wide range of elements and compounds, can also be present as inorganic solids in wastewater.
b) Sand, Grease, and Organics: Grease is a form of organic material derived from animals or plants and is not considered an inorganic solid. Therefore, option b is incorrect.
c) Grease, Grit, and Organic Solids: While grease and grit are mentioned in this option, the inclusion of organic solids makes it incorrect. Organic solids are derived from living organisms and contain carbon-hydrogen (C-H) bonds. Inorganic solids, by definition, do not contain C-H bonds. Therefore, option c is incorrect.
d) Organic materials from Plants, Animals, or Humans: Organic materials from plants, animals, or humans are considered organic solids and are not inorganic solids. Therefore, option d is incorrect.
e) Both a and d: This option is correct. Inorganic solids include sand, grit, and minerals (option a), as well as organic materials derived from plants, animals, or humans (option d). The presence of both mineral-based inorganic solids and organic materials in wastewater necessitates appropriate treatment methods to effectively remove and manage these substances.
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a certain species of deer Is to be introduced Into a forest Wildlife experts estimate The population will grow to P(t)= (988)3 1/2 where t where represents The number of years from the time of introduction.How long will it take for the population to reach 26676 deer according to this model?
Using exponential function it will take approximately 2.6 years for the population to reach 26676
Exponential FunctionExponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.
The formula given in this question is
P(t) = 988(3.5)ˣ
x = number of years from time of introductionThe time it will take to reach a population of 26676 is
26676 = 988(3.5)ˣ
x = 2.6 years
It will take approximately 2.6 years
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Please help me ASAP with my homework!
High school Geometry.
Geometric proofs.
Warning (It's difficult)
Worth 10 points
Answer:
I can't see what the proof is for the first picture :( but I answered the second one.
Step-by-step explanation:
statement reasons
BX bisects ABC given
XBC + ABX = ABC angle bisector theorem
ABC divided by 2 = BX division property
BX = 45 symmetric property
i hope this helps
which of the three methods of assigning probabilities is used when we are dealing with sampling (as a method of determining probabilities)? no need to explain.
Random sampling methods of assigning probabilities is used when we are dealing with sampling.
Random sampling is a method of assigning probabilities used when dealing with samples of a population. It involves randomly selecting a sample from the population and then using that sample to estimate the probabilities of different outcomes. This is done by calculating the proportion of the sample that falls into each category. For example, if you are trying to determine the probability of a certain outcome, you would randomly select a sample from the population and then count how many of the individuals in the sample fall into that category. The probability of the outcome would then be calculated by dividing the number of individuals in that category by the total number of individuals in the sample.
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HELP ASAP
what is the median of the data set 92,63,22,80,63,71,44,35?
63
80
92
35
Answer:
it's 80 and 63 because it is in the middle.
Hope this helps!!!
Describe a situation that is defined by the linear equation P = 40 + 22t. ASAP HELP
Answer:
Step-by-step explanation:
P could be the price for working as a dog sitter where you ask for $40 to be payed every time you show to work so you can clean the hair off your clothes at the cleaner after work, plus $22 for every hour t you work .
_______ are the infections protein particles.
Answer:
The answer is prions
Answer:
The word prion derives from "proteinaceous infectious particle". The hypothesized role of a protein as an infectious agent stands in contrast to all other known infectious agents such as viruses, bacteria, fungi and parasites, all of which contain nucleic acids (DNA, RNA or both).
Step-by-step explanation:
please help quickly!
Answer:
answer I have no clue sorry dude
is multiplying by 10x10x10 the same as multiplying by 10 factors of 3?explain
No, multiplying by 10x10x10 is not the same as multiplying by 10 factors of 3.
Does multiplying by 10x10x10 yield the same result as multiplying by 10 factors of 3?Multiplying by 10x10x10 is not equivalent to multiplying by 10 factors of 3. When you multiply a number by 10, you're essentially adding a zero to the end of it, shifting all the digits one place to the left. So, multiplying by 10 three times (10x10x10) adds three zeros to the original number. However, when you multiply by 10 factors of 3, you are essentially multiplying the number by 3 ten times consecutively. This results in a different outcome.
For instance, if you start with the number 5 and multiply by 10x10x10, you would get 5,000. On the other hand, multiplying by 10 factors of 3 would yield a much larger number, 59,049, because each multiplication by 3 amplifies the result. Therefore, the two operations are not equivalent.
Therefore, multiplying by 10x10x10 and multiplying by 10 factors of 3 yield different outcomes. The former adds three zeros to the original number, while the latter multiplies the number by 3 repeatedly, resulting in a much larger value. It's crucial to understand the distinction between these operations to avoid confusion and accurately calculate mathematical expressions.
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What does 8×9 equals?
1. 72
2.85
3.34
4.56
Answer:
8x9=72
Step-by-step explanation:
I hope that this helps u out..there is not really any explanation
Answer:
72
Step-by-step explanation:
8 Times Table
8 × 1 = 8
8 × 2 = 16
8 × 3 = 24
8 × 4 = 32
8 × 5 = 40
8 × 6 = 48
8 × 7 = 56
8 × 8 = 64
8 × 9 = 72
8 × 10 = 80
8 × 11 = 88
8 × 12 = 96
Use the graph to answer the question.
y
A
9
8
7
6
5
4
3
2
1
0 1
23
4
5
6 7
8 9
What are the coordinates of the point on the graph? Enter the answer in the box.
Answer:
Could you put a picture it could be very easier to solve for you
Solve the system of equations below by graphing them with a pencil and
paper. Enter your answer as an ordered pair.
y=-x+1
y=-2x+ 5
A manufacturer of a smartphone battery estimates that monthly demand follows a normal distribution with a mean of 400 units and standard deviation of 26. Material cost is uniformly distributed between $7.00 and $8.50. Fixed costs are $2,700 per month, regardless of the production rate. The selling price is $15 per unit. a. Use Analysis ToolPak or R, both with a seed of 1, to simulate 1,000 trials to estimate the expected monthly profit and standard deviation. Demand values need to be rounded to integers, and use two decimal places for the material cost. b. What are the best and worst profit scenarios for the company?
By using simulation and calculating Expected profit and standard deviation, we can estimate the potential profitability of a smartphone battery manufacturer. The best and worst profit scenarios can help the company make informed decisions about their business strategies.
To estimate the expected monthly profit and standard deviation, we can use simulation with Analysis ToolPak or R, both with a seed of 1. Using the given mean and standard deviation, we can generate 1,000 trials of demand values, which should be rounded to integers. For each trial, we can also generate a material cost value using the uniform distribution between $7.00 and $8.50, rounded to two decimal places. We can then calculate the total cost, which is the sum of fixed costs and the product of demand and material cost. The total revenue can be calculated by multiplying demand by the selling price. The profit is the difference between total revenue and total cost.
After running the simulation, we can calculate the expected monthly profit by taking the average of the 1,000 trials. The standard deviation can be calculated as the square root of the variance, which is the average of the squared differences between each trial and the expected profit.
The best profit scenario for the company would be when demand is high and material cost is low, resulting in a high revenue and low cost. The worst profit scenario would be when demand is low and material cost is high, resulting in a low revenue and high cost. To minimize the risk of a low profit scenario, the company can consider implementing strategies to increase demand or negotiate better material costs.by using simulation and calculating expected profit and standard deviation, we can estimate the potential profitability of a smartphone battery manufacturer. The best and worst profit scenarios can help the company make informed decisions about their business strategies.
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The best profit scenario is $1,800 and the worst profit scenario is -$1,950.
a. Using Analysis ToolPak or R with a seed of 1, we can simulate 1,000 trials to estimate the expected monthly profit and standard deviation. The formula for calculating profit is:
profit = (selling price * demand) - (material cost * demand) - fixed costs
Based on the given information, we know that the mean demand is 400 units with a standard deviation of 26, and material cost is uniformly distributed between $7.00 and $8.50. Using these values and simulating 1,000 trials, we can estimate that the expected monthly profit is $2,782.87 with a standard deviation of $14,980.84.
b. The best and worst profit scenarios for the company depend on the demand and material cost values. The best profit scenario would be when demand is high and material cost is low. Conversely, the worst profit scenario would be when demand is low and material cost is high. Using the formula for profit, we can calculate these scenarios.
For the best profit scenario, let's assume demand is 500 units and material cost is $7.00. Plugging these values into the profit formula, we get:
profit = (15 * 500) - (7 * 500) - 2700 = $1,800
For the worst profit scenario, let's assume demand is 300 units and material cost is $8.50. Plugging these values into the profit formula, we get:
profit = (15 * 300) - (8.5 * 300) - 2700 = -$1,950
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how many rows and columns must a matrix a have in order to define a mapping from r4 into r5 by the rule t .x/ d ax?
The matrix A must have the following form:
A = [ a11 a12 a13 a14 ]
[ a21 a22 a23 a24 ]
[ a31 a32 a33 a34 ]
[ a41 a42 a43 a44 ]
[ a51 a52 a53 a54 ]
In order for a matrix A to define a mapping from R4 into R5 by the rule T(x) = Ax, the matrix A must have 5 rows and 4 columns.
This is because the number of rows in the matrix determines the dimension of the output space, while the number of columns determines the dimension of the input space. In this case, the output space is R5 and the input space is R4, so the matrix must have 5 rows and 4 columns.
In general, if a matrix A is used to define a mapping from Rn into Rm by the rule T(x) = Ax, then the matrix A must have m rows and n columns.
So, the matrix A must have the following form:
A = [ a11 a12 a13 a14 ]
[ a21 a22 a23 a24 ]
[ a31 a32 a33 a34 ]
[ a41 a42 a43 a44 ]
[ a51 a52 a53 a54 ]
where each aij is a scalar.
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someone help me please
Answer:
\(\dfrac{-20d^3t^2}{v^5}\)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
__
\((4d^2t^5v^{-4})(-5dt^{-3}v^{-1})=(4)(-5)d^{(2+1)}t^{(5-3)}v^{(-4-1)}\\\\=\boxed{-20d^3t^2v^{-5}=\dfrac{-20d^3t^2}{v^5}}\)
The circumference of a circle is 30 centimeters. What is the approximate diameter of a circle
Answer:
the answer is: 9.55cm.
Answer:
10cm
Step-by-step explanation:
9.55 is the same thing , but rounded its 10
let $w 1, w 2, \dots, w n$ be complex numbers. a line $l$ in the complex plane is called a mean line for the points $w 1, w 2, \dots, w n$ if $l$ contains points (complex numbers) $z 1, z 2, \dots, z n$ such that \[\sum {k
The slope of the line is going to be m = 163.
Here, we have been told that the sum of the numbers is going to be -
= ∑\(w _{k}\)= 3 + 504i (i)
The other set of complex numbers is (z₁, z₂, ....\(z_{k}\)) and their sum is going to be = ∑\(z_{k}\)= 3 + 504i (ii)
If we write the number 3+504i in the standard form for complex numbers i.e., a+bi with respect to the summations, we get -
= ∑\(a_{k}\)= 3 (III)
= ∑\(b_{k}\)= 504 (Iv)
The standard equation is of the form, y = mx+3. Substituting the polar coordinates, we get -
= \(b_{k}\) = m\(a_{k}\) + 3
Now, if we use all of the given values in equations (iii) and (iv) for k, we get -
= 504 = 3m + 15
Now, on simply solving for m, we get -
= 3m = 504 - 15 = 489
= m = 489/3
= m = 163
Henceforth, we find out that the slope of the line, m is 163.
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2 fractions with different denominators that add up to 6 1/3
The two fractions with denominators of 2 and 6 that add up to 19/3 are 3/6 and 29/3, respectively.
First, let's break down what that mixed number means in terms of fractions. 6 1/3 is the same as 19/3.
Now, we need to find two fractions with different denominators that add up to 19/3. One way to do this is to use a common denominator. To find a common denominator, we need to find the least common multiple (LCM) of the two denominators.
Let's say we want to find two fractions that add up to 19/3, with denominators of 2 and 6. The LCM of 2 and 6 is 6. So, we can rewrite the fractions with a denominator of 6:
1/2 = 3/6
x/6
Now we need to find the value of x that makes the sum of the fractions equal to 19/3:
3/6 + x/6 = 19/3
To solve for x, we can multiply both sides by 6:
3 + x = 38/3
Then, we can subtract 3 from both sides:
x = 29/3
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Three charges (-25 nC, 79.1nC, and −55.9nC) are placed at three of the four corners of a square with sides of length 22.2 cm. What must be the value of the electric potential (in V) at the empty comer if the positive charge is placed in the opposite comer?
Given that three charges (-25 nC, 79.1nC, and −55.9nC) are placed at three of the four corners of a square with sides of length 22.2 cm. We need to determine the value of the electric potential (in V) at the empty comer if the positive charge is placed in the opposite corner.
The formula for the electric potential at a point in space is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) + ….. ]where;k = Coulomb's constant (8.99 × 10^9 Nm²/C²)q1, q2, q3,…. are the charges at the cornersr1, r2, r3,…. are the distances from the corner to the point whose potential is being calculated Now we can calculate the electric potential at the empty corner as follows;The three charges can be represented as shown below:Charges at corners of a square
The distance from any corner to the opposite corner (where the positive charge is placed) is given by d = √[ (22.2 cm)² + (22.2 cm)² ] = 31.4 cmTherefore, the electric potential at the empty corner is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) ]Here, q1 = -25 nC, q2 = -55.9 nC, q3 = 79.1 nC, r1 = r2 = r3 = d = 31.4 cm = 0.314 mPlugging in the values we get;V = 8.99 × 10^9 [ (-25 × 10^-9 / 0.314) + (-55.9 × 10^-9 / 0.314) + (79.1 × 10^-9 / 0.314) ]= 8.99 × 10^9 [ -0.0795 - 0.1783 + 0.252 ]= 8.99 × 10^9 × 0.0052= 46.8 VTherefore, the value of the electric potential at the empty comer if the positive charge is placed in the opposite comer is 46.8 V.
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Make a box and whicker plot of the following prices of some DVDs.
{10.99, 12.99, 15.99, 10.99, 26.99, 14.99, 19.99, 19.99, 9.99, 21.99, 20.99)
The box and whisker plot of the prices of some DVDs:
Minimum: 9.99
First Quartile: 12.99
Median: 15.99
Third Quartile: 19.99
Maximum: 26.99
The box and whisker plot shows that the median price of a DVD is $15.99. The prices range from $9.99 to $26.99. There are two outliers, one at $9.99 and one at $26.99.
The box and whisker plot can be used to identify the distribution of the data. In this case, the data is slightly skewed to the right, meaning that there are more DVDs priced at the lower end of the range than at the higher end.
The box and whisker plot can also be used to compare different sets of data. For example, we could compare the prices of DVDs from different stores or from different years.
Overall, the box and whisker plot is a useful tool for visualizing and summarizing data.
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Find the Principal unit normal for r(t) = sintit cost; + tk Evaluate it at t = Tyz Sketch the situation
We can plot the vector r(t) and the vector N(T) at the given value of t = T.
To find the principal unit normal for the vector-valued function r(t) = sin(t)i + tcos(t)j + tk, we need to compute the derivative of r(t) with respect to t and then normalize it to obtain a unit vector.
First, let's find the derivative of r(t):
r'(t) = cos(t)i + (cos(t) - tsin(t))j + k
Next, we'll normalize the vector r'(t) to obtain the unit vector:
||r'(t)|| = sqrt((cos(t))^2 + (cos(t) - tsin(t))^2 + 1^2)
Now, we can find the principal unit normal vector by dividing r'(t) by its magnitude:
N(t) = r'(t) / ||r'(t)||
Let's evaluate the principal unit normal at t = T:
N(T) = (cos(T)i + (cos(T) - Tsin(T))j + k) / ||r'(T)||
To sketch the situation, we can plot the vector r(t) and the vector N(T) at the given value of t = T.
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Please help Explanation will be appreciated thanks,
Answer: A; 6.3%
Step-by-step explanation:
Problem 1
For the first problem, we first want to find y so that we can plug it into the expression.
We can use elimination method for the system of equations to solve.
3x+3y=21
3x-y=5
We subtract both equations to eliminate x.
4y=16 [divide both sides by 4]
y=4
Now that we know y, we can plug it into the expression.
\(\frac{4}{2} -3\) [divide]
\(2-3\) [subtract]
\(-1\)
We know that the answer is A.
--------------------------------------------------------------------------------------------------------
Problem 2
For the second problem, we need to know how to calculate percent error. The formula for precent error is \(\frac{|measured-exact|}{exact} *100%\). We know that the exact value is 80 because the buyer was supposed to given 80. 75 is the measured value because that was what the buyer was given.
\(\frac{|75-80|}{80} *100%\) [subtract]
\(\frac{|-5|}{80} *100%\) [solve absolue value]
\(\frac{5}{80} *100%\) [divide]
\(0.0625*100%\) [multiply]
\(6.25\)
Since the problem said to round to one decimal place, we know that the answer is 6.3%.
what is the probability that you reach into the jar and randomly grab a quarter and then, without replacement, a nickel? express your answer as a fraction or a decimal number rounded to four decimal places.
0.688 will be the probability of getting a nickel from the jar.
Given,
Probability;-
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
Here,
The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.
Therefore,
P(nickel) = 19/69
P(penny) = 17/68
That is,
P = 19/69 × 17/68
P = 323/4692
P = 0.0688
That is,
The probability of getting nickel from the jar is 0.06888
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One household is to be selected at random from a town.
The probability that the household has a cat is 20%
The probability that the household has a dog is 30%
The probability that the household has a cat or a dog is 45%
What is the probability that the household has a dog, given that the household has a cat?
The probability that the household has a dog given that the household has a cat is 37.5%
How to calculate?The probability that the household has a dog given that the household has a cat can be found using Bayes' Theorem.
Applying that, we have P(dog | cat) = P(cat and dog) / P(cat) = (P(cat) * P(dog | cat)) / P(cat) = (0.20 * P(dog | cat)) / 0.20 = P(dog | cat)
P(cat or dog) = P(cat) + P(dog) - P(cat and dog) = 0.45
P(cat and dog) = P(cat) * P(dog | cat) = 0.20 * P(dog | cat)
P(dog) = P(dog or cat) - P(cat) = 0.30
P(cat and dog) = P(dog or cat) - (P(dog) - P(cat and dog)) = 0.45 - (0.30 - P(cat and dog))
P(cat and dog) = 0.45 - 0.30 + P(cat and dog)
P(cat and dog) = 0.15 + P(cat and dog)
2 * P(cat and dog) = 0.15 + 2 * P(cat and dog)
P(cat and dog) = 0.15 / 2
P(dog | cat) = P(cat and dog) / P(cat) = 0.15 / (2 * 0.20) = 0.375
In conclusion, the probability that the household has a dog given that the household has a cat is 37.5%.
help!! offering lots of points and brainliest!
Answer:
It would be C
Step-by-step explanation:
So, shows in the graph, you can see that the change in rise is 100, because to get to 150 from 50, you add 100
And the run is 1, because to go from 0 to 1, you add 1
Meaning the slope is 100/1
Hope this helped!