For the given system t is not application. There is no solution for the system.
What do you understand by solution ?In mathematics, the phrase "solution" refers to a particular value or set of values that satisfies a given equation or set of equations. Finding a solution to the problem is a necessary step in solving a system of equations.
A value for the unsolved variable that makes the equation true is referred to as the solution.
The solutions are all the values of x in the domain such that f(x) = g if we have two functions f and g that both map to the same co-domain (x).
An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution.
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Adliyn mows 2 lawns first is 6 meters long and the second is 4 meters wide. The area of the second lawn is 6 times as big but has the same width of the first. What is the length of the second lawn
Answer:
The area of the first lawn is 64 = 24 square meters.
The area of the second lawn is 6 times bigger, so it is 246 = 144 square meters.
As the second lawn has the same width as the first one, 4 meters, we can calculate the length of the second lawn by dividing the area of the second lawn by its width.
So, the length of the second lawn is 144/4 = 36 meters.
Solve for x.
Select the correct response:
19.25
6.5
10
14
Check the picture below.
Isaac is 12
3
4
years old. Sheila is 1
3
8
years younger than Isaac and Jane is 1
1
5
years younger than Sheila. How old is Jane?
Answer:
Step-by-step explanation: 2 00
22
Lee has made a nonrefundable deposit of the first month’s rent (equal to $900) on a
apartment lease to 6 months. The same day later Lee finds a different apartment that
he likes just as well, but its monthly rent is cheaper and negotiable. Assume a nominal
rate interest rate of 8% convertible monthly. The rent will be paid monthly and at the
beginning of each month.
(i) Write down the cash flow and compute the present value (to 2 decimal numbers)
of 6 months if Lee rents the first apartment ($900).
(ii) Find the range of the rent (to 2 decimal numbers) of the cheaper apartment such
that Lee would switch to rent the new apartment.
Answer:
(i) To calculate the present value of 6 months of rent for the first apartment, we can use the formula PV = FV / (1 + r)^n, where PV is the present value, FV is the future value (6 months of rent, or $900 x 6 = $5400), r is the interest rate (8% converted to a monthly rate, or 0.08/12 = 0.0067), and n is the number of periods (6 months). So, PV = $5400 / (1 + 0.0067)^6 = $4911.46
(ii) To find the range of rent for the new apartment such that Lee would switch, we need to find the monthly rent that would result in a present value equal to or greater than $4911.46. Using the same formula, we can solve for the monthly rent (R) by setting PV equal to $4911.46 and n equal to 6. So, $4911.46 = R*(1+0.0067)^6. Solving for R, we get that the monthly rent must be between $732.32 and $766.58 in order to be more favorable than the first apartment.
Bonomics and Personal Finance (2020) Sem 2
Points Possible: 30
YOUR ASSIGNMENTS
1. One of the hardest things about handling money is balancing short-term needs and wants with veg
term needs and wants, How can you save money in an interest-bearing account when you need every
penny to pay for school loans, car loans, rent, and utilities? Write one paragraph that explains why
thinking about the future might be important even when you're having a hard time managing the present
A good way to save money in an interest-bearing account is using a savings account with intereste
What is future planning?The future of management relies on flexibility, adaptation and pragmatism.
The following ideas can help you make a plan to save and maximize your interest earnings.
1. High-Yield Savings Account. .
2. High-Yield Checking Account. .
3. CDs and CD Ladders.
4. Money Market Account.
5.. Treasury Bills.
Research suggests that thinking about the future,a process known as prospection,can help us lead more generous and fulfilled lives. Mindfulness is all the rage these days, and for good reason. Focusing on the moment can improve our well-being, foster compassion, and help our relationships.
For a better well-being we have to think about the future.
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The weight of a sphere is proportional to the radius cubed. If a sphere of diameter 1 cm has a mass of 2 grams what diameter sphere has a mass of 54 grams?
A 10 kg ball moves at a speed of 15m/s. The ball collides with a wall causing it to rebound in the opposite direction at a speed of 23 m/s.
Calculate the impulse on the ball?
Answer:
The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.
The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.
So, the impulse on the ball is -80 kg m/s.
Can someone help me please
Answer:
[tex]r=14\mathring{}[/tex]
Step-by-step explanation:
[tex](5r-5)\mathring{}+(8r+3)\mathring{}=180\mathring{}\\5r-5+8r+3=180\mathring{}\\13r-2=180\mathring{}\\13r=180\mathring{}+2\\13r=182\mathring{}\\r=\frac{182}{13} \\\\r=14\mathring{}[/tex]
The perimeter of a rectangular pool is 368m. If the width of the pool is 86m, what is the length
The length of the rectangular pool is 98 m.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that the perimeter of a rectangular pool is 368m.
The width of the pool is 86m
We need to find the length of the pool.
Perimeter of rectangle=2(Length+width)
368=2(Length+86)
368=2Length+172
368-172=2length
196=2length
Divide both sides by 2
98=length
Hence, the length of the rectangular pool is 98 m.
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Please help me with this question.
The volume and radius of the ice cream and the ice cream cone are;
(a) Volume of the ice cream is about 6.3 cubic inches
(b) Radius of needed for the cone to contain 14.5 cubic inches per serving is about 1.422 inches
What is the volume of a solid?The volume of a solid is the space the solid occupies, which is the amount of cube units that fills the solid.
Rotation of a quarter circle to form an hemisphere, by integration is presented as follows;
[tex]\int\limits^1_0 \pi \times ({\sqrt{1-x^2} })^2 \, dx = \frac{2}{3} \cdot \pi[/tex]
The volume of the cone carrying the hemisphere = (1/3)×π×1²×4 = (4/3)·π
The volume of the ice cream = The volume of the cone + The volume of the hemisphere
Therefore;
Volume of the ice cream = (2/3)·π + (4/3)·π = (6/3)·π = 2·π ≈ 6.3
The volume of the ice cream ≈ 6.3 cubic inches(b) Volume of ice cream contained in the new ice cream cone, V = 14.5 cubic inches
The formula for the volume of the ice cream, V = (2/3)·π·r³ + (4/3)·π·r²
Therefore;
V = (2/3)·π·r³ + (4/3)·π·r² (substitution property)
V = (2/3)·π·r³ + (4/3)·π·r²
14.5 = (2/3)·π·r³ + (4/3)·π·r²
(2/3)·π·r³ + (4/3)·π·r² - 14.5 = 0
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89.0 mL of a liquid is massed in a graduated cylinder. The total mass is 437.2 g. The empty graduated cylinder has a mass of 277.0 g. What is the density of the liquid?
A psychologist studied the number of puzzles that subjects were able to solve in a 5-minute period while listening to soothing music. Let X be the number of puzzles completed successfully by a randomly-chosen subject. The psychologist found that X had the given probability distribution.
What is the probability that a randomly chosen subject completes more than the expected number of puzzles in the 5-minute period while listening to soothing music?
answer choices
A. 0.1
B. 0.4
C. 0.8
D. 1
E. Cannot be determined
The probability that a randomly chosen subject completes more than the expected number of puzzles in the 5-minute period while listening to soothing music cannot be determined (E).
Here 'x' denotes the no. of puzzles completed by an individual within 5 minutes. Given that the probability distribution of 'x' as,
[tex]$$\begin{array}{ccccc}x: 1 & 2 & 3 & 4 \\p(x): & 0.2 & 0.4 & 0.3 & 0.1\end{array}$$[/tex]
'D' is the difference in the number of puzzles saved by two randomly selected subjects. Let [tex]X_{1}[/tex] be the number of puzzles solved by first individual and [tex]$X_2$[/tex] be the number of puzzles solved by [tex]$2^{n d}$[/tex] individual.
Then, D=[tex]X_1-X_2$[/tex] where [tex]$X_1$[/tex] and [tex]$X_2$[/tex] are independent and follow the above
[tex]$$\begin{aligned}& \therefore \text { Variance }(D)=V(D)=v\left(x_1-x_2\right) \\& =V\left(x_1\right)+v\left(x_2\right) \\& =2 \times v\left(x_1\right) \quad\left(\because v\left(x_1\right)=v\left(x_2\right)\right. \\& \text { Now, } V\left(x_1\right)=V(x)=E\left(x^2\right)-[E(x)]^2 \\& =0.2+0.8+0.9+0.4 \\& =2.3 \\&\end{aligned}$$[/tex]
[tex]$$\text { and } \begin{aligned}E\left(x^2\right) & =\sum_{R(x)} x^2 P[x=x] \\& =\sum_{x=1}^4 x^2 P[x \cdot x] \\& =\left(1^2 \times 0.2\right)+\left(2^2 \times 0.4\right)+\left(3^2 \times 0.3\right)+\left(4^2 \times 0.1\right) \\& =6.1 \\\Rightarrow V(x) & =k\left(x^2\right)-[k(x)]^2 \\& =6.1-(2.3)^2 \\& =0.81\end{aligned}$$[/tex]
[tex]$\therefore$[/tex] Variance of D,
[tex]$$\begin{aligned}V(D) & =2 \times v\left(x_1\right) \\& =2 \times 0.81=1.62\end{aligned}$$$\therefore$ Standard deviation of $D$ is,$$\sqrt{V(0)}=\sqrt{1.62} \simeq$$[/tex] 1.27.
Therefore, the probability that a randomly chosen subject completes more than the expected number of puzzles in the 5-minute period while listening to soothing music is, 1.27.
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Paul's Pizza sells pizza by the slice for lunch. An employee recorded how many slices of each type of pizza were sold today. pepperoni 44 cheese 15 supreme 29 Considering this data, how many of the first 76 slices sold during lunch tomorrow should you expect to be slices of pepperoni pizza?
Answer:
To find out how many of the first 76 slices sold during lunch tomorrow should be pepperoni pizza, we can use the information provided about the proportion of pepperoni pizza slices sold today. We can use the following formula to calculate the expected proportion:
(number of pepperoni slices / total number of slices) * 100
Plugging in the numbers we have:
(44 / (44 + 15 + 29)) * 100 = 44 / 88 * 100 = 50%.
So we can expect 50% of the first 76 slices sold during lunch tomorrow to be pepperoni pizza slices, which is equivalent to:
76 slices * 50% = 38 slices
Therefore, we expect 38 of the first 76 slices sold during lunch tomorrow should be slices of pepperoni pizza.
Step-by-step explanation:
y > x - 3 a. Change the inequality into slope- intercept form, and then change it into an equation.
The slope of the inequality y > x - 3 is 1
What is the slope of an inequality?
The slope of a line is the ratio of the amount that y increases as x increases some amount
To change the inequality y > x - 3 into slope,
substract x from both sides of the inequality
y- x > x - 3-x
= y-x>-3
= y<-3+x
From the inequality y<-3+x the co-efficient of x is 1
Hence, The slope of the inequality is 1
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Question 1 Use PORS to find m
The measure of ∠R of the given parallelogram is 52°.
What is a parallelogram?
A parallelogram is a simple quadrilateral with two sets of parallel sides. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of a similar measure.
Some of the properties of a parallelogram are,
A pair of parallel and opposite sides are equal in lengthThe opposite angles are equal in measureThe sum of adjacent angles is 180°Given,
Length of PS = 3
Length of RS = 5
∠Q = 128°
Since it is a parallelogram,
PS = QR = 3 and RS = QP = 5
∠Q + ∠R = 180
m∠R = 180 - ∠Q = 180-128 = 52°
Therefore the measure of ∠R of the given parallelogram is 52°.
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Ben come aproximadamente 2400 calorías al día. Su esposa Sarah come 5 tanto. Cúantos
¿Sarah come calorías al día?
Sarah consumes 12000 calories per day.
What is calorie?A calorie is a unit of energy.
Given is that Ben eats approximately 2,400 calories a day.
We can write the amount of calories eaten by Sarah as -
y = 5 x 2400
y = 12000
Therefore, Sarah consumes 12000 calories per day.
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{Question in english -
Ben eats approximately 2,400 calories a day. His wife Sarah eats 5 as much. How many calories does Sarah eat a day?}
Matrix Representation of Linear Regression Recall the linear regression problem from previous statistics class: Suppose that we observe 3 observations (Yi, x),(½, x2),(⅓,Xs) and they take values (0.3,1), (0.8,2), (-0.3,0.1).
The matrix representation of the problem can be written as: ε = [ε1 ε2 ε3]'
The matrix representation of the linear regression problem can be expressed as Y = Xβ + ε, where Y is the n x 1 vector of the dependent variable (Yi),
X is the n x k matrix of the independent variables (xi),
β is the k x 1 vector of coefficients, and
ε is the n x 1 vector of errors.
In this case, n = 3 (number of observations), k = 2 (number of independent variables) and the matrix representation of the problem can be written as:
Y = Xβ + ε
Y = [0.3 0.8 -0.3]
X = [1 1 1; 1 2 0.1]
β = [β0 β1]'
ε = [ε1 ε2 ε3]'
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how many positive integers n satisfy the following condition: (130n)50>n100>2200 ? (a) 0 (b) 7 (c) 12 (d) 65 (e) 125
There are (e) 125 positive integers that satisfy the n condition
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
(130n)^50 > n^100 > 2^200
[tex]\sqrt[50]{}[/tex][(130n)^50] > [tex]\sqrt[50]{}[/tex](n^100) > [tex]\sqrt[50]{}[/tex](2^200)
130n > n^2 > 2^4
130n > n^2 > 16
Solving each part, we get:
n^2 > 16
n > √16
n > 4
130n > n^2
130 > n^2/n
130 > n
130 > n > 4
Therefore the answer is the number of positive integers over 4 and 130 which is 129 - 5 + 1 = 125
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Correctly written question:
How many positive integers n satisfy the following condition (130n)⁵⁰ > n¹⁰⁰ > 2²⁰⁰ ? (a)0 (b)7 (c)12 (d)65 (e)125
Place an operation sign between two of the digits to make the equation true.
96 2 5 8 0 7 = 8,818
Operation sign between two of the digits is 96 ÷ 2 × 5 + 8 × 0 - 7 = 8,818
What is PEMDAS theory?This question uses the Order of Operations (PEMDAS) theory.
The order of operations states that we should work through equations in the following order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
In this question, the first operation was division (96 ÷ 2), followed by multiplication (48 × 5), then addition (240 + 8), then multiplication (248 × 0), and finally subtraction (0 - 7).
Step 1: 96 ÷ 2 = 48
Step 2: 48 × 5 = 240
Step 3: 240 + 8 = 248
Step 4: 248 × 0 = 0
Step 5: 0 - 7 = -7
Step 6: -7 = 8,818
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help video
In the diagram below of triangle KLM, N is the midpoint of KM and O is the
midpoint of LM. Ifm/MKL = 61 + 9x, and m/MNO = 2x + 75, what is
the measure of ZMNO?
M
L
O
M
The measure of the angle MNO is 79 degrees
How to determine the measure of the angleThe midpoint of KM and O is also the midpoint of LM as expressed in the information given.
We have the parameters;
m/MKL = 61 + 9xm/MNO = 2x + 75Note that the midpoint of the triangle is expressed as;
m/MKL = m/MNO
Now, substitute the values, we get;
61 + 9x = 2x + 75
collect like terms
9x - 2x = 75 - 61
add or subtract the like terms
7x = 14
Now, divide both sides by the coefficient of x, we get;
7x/7 = 14/7
Divide the values
x = 2
Substitute the value into the expression
m/MNO = 2x + 75
m/MNO = 2(2) + 75
expand the bracket
m/MNO = 79
Hence, the value is 79
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Your dinner in tokyo cost 10,000 Japanese yen. how much was it in u.s dollars?
ANSWER SHOULD BE ROUND TO TWO DECIMAL
Answer:
~$76.99
Step-by-step explanation:
Right now, ~¥129.89 is equivalent to $1. Your dinner costs ¥10,000. To solve, divide the total cost of your dinner with the equivalent yen price compared to the dollar:
(¥10,000)/(¥129.89) = ~76.99 (rounded to the nearest cent).
~$76.99 would be your answer.
~
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Greg borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 7%. The total interest that he paid was $1400. How much money did he borrow?
Answer:
Greg borrowed $20,000.
Step-by-step explanation:
To calculate the principal (the amount borrowed), we can use the formula for simple interest:
I = Prt
where I is the interest, P is the principal, r is the annual interest rate, and t is the time in years.
Given that:
I = 1400
r = 7% (expressed as 0.07)
t = 4
P = I / (r * t) = 1400 / (0.07 * 4) = $20,000
Therefore, Greg borrowed $20,000.
Jerry ordered 4 items online. He is charged $2.25 per pound for shipping. The items weighed 3.2 pounds, 3.8 pounds, 4 pounds, and 4.5 pounds. How much will he be charged for shipping? (Round to the nearest cent).
The total amount that he will be charged for the shipping is given as follows:
$34.88.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
Jerry is charged $2.25 per pound for shipping, hence the constant is given as follows:
k = 2.25.
Meaning that the equation for the total cost for a weight of x pounds is given as follows:
y = 2.25x.
The total weight is given as follows:
3.2 + 3.8 + 4 + 4.5 = 15.5 pounds.
Hence the total cost is given as follows:
y = 2.25 x 15.5
y = $34.88.
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A company wants to estimate the mean time it will take workers to complete a certain task. They record the times to complete the task for a random sample of 30 workers. Match the following: ____ mean time to complete a certain task for 30 workers from this company ____ all workers from this company ____ a worker from this company ____ mean time to complete a certain task for all workers from this company ____ 30 workers from this company
____ time to complete a certain task
a. sample
b. parameter
c. individual
d. variable
e. statistic
f. population
1. Mean time to complete a specific task for 30 workers from this company refers to A: sample.
2. All employees from this company are known as F: population
3. A employee from this company is called an C: individual
4. Mean time to complete a specific task for all workers from this company is said to be as B: parameter.
5. 30 employees from this company make E: statistic
6. Time to complete a specific task is called a D: variable
Brief Explaination of each Answer is Given Below:
"Sample" refers to a subset of a larger population that is selected for study. In this case, the "sample" is the 30 workers from the company whose times to complete the task have been recorded.
"Population" refers to the entire set of units or items under study. In this case, the "population" is all workers from the company.
"Individual" refers to a single unit or item in a set. In this case, an "individual" is a single worker from the company.
"Parameter" refers to a characteristic or value that describes a population. In this case, the "parameter" is the mean time it will take all workers from the company to complete the task.
"Statistic" refers to a value that describes a sample. In this case, the "mean time to complete a certain task for 30 workers from this company" is a statistic.
"Variable" refers to a value that can change within a set. In this case, "time to complete a certain task" is the variable of interest.
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Explain what are the figure below are functions or not
Given the problem:
Explain what are the figure below functions or not
The left graph is not a function, the right table is a function. To see if a graph is a function, use the vertical line test. Simply draw vertical lines down the graph, or you don't have to if you can imagine it. None of the vertical lines can pass through any points twice. So in this case, look at (6, 4) and (6, 6). Draw a vertical line down at x=6. It fails the vertical line test because the vertical line passes through the two points.
Next, the table on the right. It is a function. To determine whether a table is a function or not, look at the x values. No x value can duplicate. In this case, all x values are different.
Hope this helped.
Write a two-column proof.
The two column proof that shows congruency of ΔACD ≅ ΔBDC is as detailed below.
How to write a two column proof?A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.
We want to prove that ΔACD ≅ ΔBDC
Statement 1: AD ⊥ DC, BC ⊥ DC, ∠DAC ≅ ∠CBD, AD ≅ BC, BD ≅ AC
Reason: Given
Statement 2: BC ≅ BC
Reason 2: Reflexive Property of Congruence
Statement 3: ∠DAC ≅ ∠DBC
Reason 3: Corresponding Angles
Statement 4: ∠ACD ≅ ∠BDC
Reason 4: Corresponding Angles
Statement 5: ΔACD ≅ ΔBDC
Reason 5: CPCTC( Corresponding Parts of Congruent Triangles are Congruent.)
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Find the tangent of ZZ.
X
39
Z
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan (Z) =
Submit
89
80
Pythagorean theorem
Work it out
Not feeling ready yet? These can help:
Lesson: Trigonometric ratios
The fraction for the value of tan Z is 39/80
What are trigonometric identities?Trigonometric Identities are simply described as equalities that involves several trigonometry functions and also one that holds true for all the values of variables given in the equation.
The types of trigonometric functions as;
sinecosinetangentcotangentsecantcosecantFrom the information given, we have that;
Hypotenuse = 89
Opposite side = 39
Adjacent = 80
tan Z = opposite/adjacent
substitute the values
tan Z = 39/80
Hence, the equation is 39/80
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Select all the equations that match the tape diagram. Tape diagram, 1 part labeled 8, 6 parts labeled x, total 35. A: 35=8+x+x+x+x+x+x+ B: 35=8+6x C: 6+8x=35 D: 6+8=35 E: 6x+8x=35x F: 35-8=6x
The equations that match the tape diagram.
Thus, the correct equations are: A, B, D and F
What is tape diagram?A diagram that resembles a piece of tape that is used to show how numbers relate to one another. Also known as length model, fraction strip, bar model, and strip diagrams. to use whole numbers, fractions, and ratios to answer problems that include the four operations. Students can improve their problem-solving abilities and algebraic reasoning with the use of tape diagrams.
A visual tool known as a tape diagram represents the components of a ratio using equal-sized boxes. The reason it is named a tape diagram is because it resembles the lengthy strips of sticky tape used to bind documents or wrap gifts.
Thus, from the above given data it is clear that, x = 4.5
Correct option: A, B, D, and F
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Given the following diagram and the fact that HJK=138 find the m LJK
Answer:
<LJK = 69 degrees
Step-by-step explanation:
Triangle HKL and LJK are congruent, therefore their angles will be as well. Divide HJK by 2; 138 / 2 = 69
The table below represents a geometric sequence. Determine the recursive function that defines the sequence.
Answer:
C
Step-by-step explanation:
How do we get from 4 to 20? Multiply 4 * 5 = 20.
How do we get from 20 to 100? Multiply 20 * 100.
Thus the answer is C where you multiply 5 by the previous function output.
I saw this pattern from experience, however you could also solve another way:
Simply plug in to the given functions in each answer choice.
For example, A:
f(1) = 4
f(n) = 16 * f(n - 1), for n >= 2
Now test values of n and check if they match the table.
f(1) = 4. This matches the table
f(2) = 16 * f(2 - 1) = 16 * f(1) = 16 * 4 = 64. This does not match the table.
You continue this process with the rest of the answer choices until you find a function, f(n), that gives the correct output of the table.
