Answer:
No solution
Step-by-step explanation:
4x-(2.5)+3=-2(-2x+4)
4x+0.5=4x-8
-4x -4x
0.5=-8
-0.5 -0.5
0= -8.5 which is false therefore no solution
Answer: There are no solutions.
Step-by-step explanation: 4x−2.5+3=−2(−2x+4) 4x+−2.5+3=4x−8 4x+0.5−4x=4x−8−4x 0.5−0.5=−8−0.5 0=−8.5 There are no solutions.
1. Square of a Binomial
Symbols/Pattern:
(a + b)2 = a2 + 2ab + b2
(a - b)2 = 22 - 2ab + b2
In the pattern, if a is the first term and b is the last term, then the square
of a binomial consists of:
a) the square of the first term (a);
b) twice the product of the first and last terms (2ab); and
c) the square of the last term (54).
2. The product of the sum and difference of two terms
Which type of line of symmetry does the figure have?
diagonal
vertical
horizontal
none
Answer:
vertical
Step-by-step explanation:
This 'A' has vertical symmetry.
Brady has been
approved for a home loan on a property he has under contract. The purchase
price is $150,000, and he is required to have $5,250 as a down payment. Which
of the following loan types is Brady most likely getting?
a. Conventional loan
b. ARM loan
c. FHA loan
d. VA loan
e. Fixed loan
The type of loan that Brady most likely getting is option (a) conventional loan
Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.
ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.
VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.
Therefore, the correct option is (a) Conventional loan
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44% of the books are fairy tales. What fraction of the books are fairy tales (Give your answer in simplest form e.g. 10/11)
Answer:
\(\frac{11}{25}\)
Step-by-step explanation:
44% can also be written as a fraction: \(\frac{44}{100}\)
To simplify this fraction, let's divide the numerator and the denominator by 4:
44/4 = 11
100/4 = 25
The simplest form of the fraction of books that are fairytales is \(\frac{11}{25}\)
What is the probability of choosing an even number from the numbers 1, 2,3,4,5? *
a train travelling at 60 km per hour completes the journey in 8 hour. How much faster would it have to travel to cover the same distance in 6 hour
Answer:
Total distance covered: 60x8 = 480
Speed needed to cover distance of 480 km in 6 hrs = 480/6 = 80 km/hr.
initial velocity : 60 km/hr.
Train needs to run faster with speed of 20km per hour to achieve same distance in 6 hrs.
Step-by-step explanation:
PLEASE HELP, GIVING 25 POINTS!!!!
Fill in the blank.
(5x)^2 = ___ x^2
Answer:
The answer is 25
Step-by-step explanation:
(5x)^2=25^2
5x times 5x is 25x^2
25^2 divided by 5x is 5x
The two x's become x^2 and the two 5's just multiply to 25
which of the following is parallel to the line 2x + 4y =16
A linear function with a slope of -0.5 is parallel to the line 2x + 4y =16.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In slope-intercept format, the linear equation given is:
4y = 16 - 2x
y = -0.5x + 4.
When two lines are parallel, they have the same slope, hence a linear function with a slope of -0.5 is parallel to the line 2x + 4y =16.
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solve for x in the triangle !
Answer:
4
Step-by-step explanation:
16x-11=5x+33
16x=5x+33+11
16x-5x=33+11
11x=44
x=4
−4x−6=−5y+2 Write a formula for g(x) in terms of x
Answer:
4/5x + 8/5 = g(x)
Step-by-step explanation:
−4x−6=−5y+2
Solve for y
Subtract 2 from each side
−4x−6-2=−5y+2-2
-4x -8 = -5y
Divide each side by -5
-4x/-5 -8/-5 = -5y/-5
4/5x + 8/5 = y
Replace y with g(x)
4/5x + 8/5 = g(x)
In the Venn Diagram for an EIO - 2 Categorical Syllogism, there is an X in number 6.
Group of answer choices
True
False
The answer is True. In the Venn Diagram for an EIO - 2 Categorical Syllogism, X represents the area of the diagram where the subject of the conclusion statement (the term in the predicate of the minor premise) overlaps with the complement of the predicate of the major premise.
In a EIO syllogism, the conclusion statement is negative and particular, meaning that it denies the existence of some members of the subject class. This area of the diagram is represented by number 6. Therefore, there should be an X in number 6 of the Venn Diagram for an EIO - 2 Categorical Syllogism.
In the Venn Diagram for an EIO-2 Categorical Syllogism, there is an X in number 6. The statement is true. An EIO-2 Categorical Syllogism consists of a negative major premise, a negative minor premise, and a negative conclusion. In a Venn Diagram, an "X" represents an instance where the two categories overlap, and number 6 is the area where the two categories overlap negatively. So, in this case, the presence of an X in number 6 indicates the truth of the EIO-2 Categorical Syllogism.
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can anyone solve it use translation if found necessary.
On solving the provided, we can say that - here in graphs by solving the equation - \(x^2 + y^2 = > 2^2 = > 4\)
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
here from graph,
x= 0
and y = 2
so, in equation
\(x^2 + y^2 \\2^2\\4\\\)
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Please hurry!!
What is the slope of the line that contains the points negative 3, negative seven halves and (2, −4)?
one fourth
one tenth
negative one tenth
negative one fourth
Answer:
0.7
Step-by-step explanation:
This question tests on the concept of slope or gradient of a line.
We know that the equation, m, for a slope =
\( \frac{y2 - y1}{x2 - x1} \)
We can identify 2 points from the question as (x1, y1) and (x2, y2) to solve for the gradient, and therefore they are:
(x1,y1) as (-3,-7.5)
(x2,y2) as (2,-4)
Now we can substitute these values in to solve for the slope.
\( \frac{ - 4 - ( - \frac{7}{2})}{2-(-3)} \\ = \frac{ - 4 + frac{7}{2}}{5} \\ = \frac{-0.5}{5} \\ = - \frac{1}{ 10} \\ = -0.1\)
Two objects of inertias mi and m2 start from rest and then interact with each other (assume neither is interacting with any other object). What is the ratio of their x components of velocity at any instant? Express your answer in terms of the variables mi and m2. -mi V2/V1x = m2 Submit Previous Answers ✓ Correct Part B What is the ratio of their kinetic energies at any instant? Express your answer in terms of the variables mi and m2. K2/K1 = mi m2 Submit Previous Answers ✓ Correct
The ratio of their x-components of velocity at any instant is: \(-m_{i}\) * \(V_{1x}\) / (m₂ * \(V_{2x}\)) = 1. The ratio of their kinetic energies at any instant is: K₂ / K₁ = (m₂ * \(V_{2x}\)²) / (mi * \(V_{1x}\)² ).
The ratio of the x-components of velocity for two objects with inertias \(m_{i}\) and \(m_{2}\) can be determined using the principle of conservation of momentum.
According to the conservation of momentum, the total momentum of a system remains constant if no external forces act on it. Initially, both objects are at rest, so the total momentum is zero.
Let \(V_{1x}\) and \(V_{2x}\) be the x-components of velocity for objects with inertias \(m_{i}\) and \(m_{2}\), respectively. According to the conservation of momentum:
\(m_{i}\)* \(V_{1x}\) + \(m_{2}\) * \(V_{2x}\)= 0
To find the ratio of their x-components of velocity at any instant, we divide the equation by \(V_{1x}\) :
\(m_{i}\)* \(V_{1x}\) / \(V_{1x}\) + \(m_{2}\) * \(V_{2x}\) / \(V_{1x}\) = 0 / \(V_{1x}\)
Simplifying the equation:
\(m_{i} + ( m_{2}* V_{2x} / V_{1x} )\)= 0
Rearranging the equation to isolate the ratio:
\((m_{2} * V_{2x} / V_{1x}) = -m_{i}\)
Dividing both sides by -mi:
\((m_{2} * V_{2x} / V_{1x}) / -m_{i}\) = 1
Taking the reciprocal of both sides:
\(m_{i}/m_{2} *V_{2x}/V_{1x}= 1\)
Finally, rearranging the terms:
\(-m_{i}*V_{1x}/m_{2}*V_{2x}=1\)
Therefore, the ratio of their x-components of velocity at any instant is given by:
\(-m_{i}*V_{1x}/m_{2}*V_{2x}=1\) = 1
Moving on to the ratio of their kinetic energies at any instant, we can calculate it using the formula for kinetic energy:
K = (1/2) * mass * velocity²
Let K₁and K₂ be the kinetic energies of objects with inertias \(m_{i}\) and \(m_{2}\), respectively.
The ratio of their kinetic energies at any instant is given by:
K₂ / K₁ = (1/2) * \(m_{2}\) * (\(V_{2x}\))² / [(1/2) * \(m_{i}\) * (\(V_{1x}\))²]
Simplifying the equation:
K₂ / K₁ =\((m_{2}* (V_{2x}) / (m_{i} * (V_{1x})\)
Dividing both sides by \(V_{2x}\):
K₂ / K₁ = (m₂ * \(V_{2x}\)) / (\(m_{i}\) * )
Therefore, the ratio of their kinetic energies at any instant is given by:
K₂ / K₁ = (m₂ * \(V_{2x}\)²) / (mi * \(V_{1x}\)² )
In summary:
The ratio of their x-components of velocity at any instant is: \(-m_{i}\) * \(V_{1x}\) / (m₂ * \(V_{2x}\)) = 1
The ratio of their kinetic energies at any instant is: K₂ / K₁ = (m₂ * \(V_{2x}\)²) / (mi * \(V_{1x}\)² ).
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Explain the difference in meaning between 1-3 and -3
Answer:
The difference in meaning is that
-3 is a signed value. It lies to the left of zero
+3 is also a signed value, and since it is positive, it lies to the right of zero
|-3| is just the physical distance (left or right) of -3 from zero. Since we live in a physical world, all distances are positive, so its signed value is 3.
Since +3 is also 3 units from zero, |+3| = 3
|-3| = |+3| = 3 since both are three units away from zero.
So, when using absolute values as numbers, rather than distances,
|x| = x if x is not negative
|x| = -x if x is negative
The area of a rectangle is 252 cm², and the length is 3 less than 2 times the width. Find the dimensions of the rectangle.
Answer:
21cm, 12cm
Step-by-step explanation:
width=x cm
length=2x-3 cm
area= 252cm²
l*b= 252 cm²
(2x-3)(x)=252
2x²-3x= 252
this is how I did it
we need to find the nearest square of the number (it should be lesser than the area)
that is 225, whose square root is 15.
since there is a coefficient to the x², the value of x would be calculate like this 15- (2+1)= 15-3 = 12
x= 12
we can verify it too,
2*(12)² - 3*12=252
288-36=252
252=252
therefore width is 12 cm and width is 2*12-3= 24-3= 21 cm
verify;
21*12= 252
252=252
hence the dimensions are 12 am (width) and 21 cm(length).
secondary data should be gathered first because this type of information is less expensive to obtain. group of answer choices false true
The statement "secondary data should be gathered first because this type of information is less expensive to obtain" is actually false because it has already been collected, there are some important factors to consider.
Primary data is data that is collected specifically for the purpose of the research project at hand. This type of data can include surveys, interviews, experiments, and observations. On the other hand, secondary data is data that has already been collected by someone else for a different purpose.
Firstly, it's important to consider the quality of the data. Secondary data may not always be reliable or up-to-date, which could impact the accuracy of your research findings. In some cases, you may need to spend time and resources verifying the accuracy of the secondary data, which could end up being more expensive in the long run.
Additionally, it's important to consider the specific needs of your research project. Depending on your research question, primary data may be necessary to obtain the specific information you need. In other cases, secondary data may be sufficient.
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A restaurant customer left $1.35 as a tip. The tax was 8% and the tip was 15% of the cost including tax.
Part A. Which information is not needed to compute the bill after tax and tip?
Part B. What was the total bill?
Answer:
Part A: The part that says the amount of tax is not needed to calculate the total cost of the meal
Part B: The total cost is $9.
Step-by-step explanation:
(Attached)
Please helpppppppppppppp
take all coins that are still on tails and keep flipping them until they land on heads. what is the expected number of total flips until all coins are on heads?
The probability that all coins show heads up is 1/16.
How to calculate the probabilityThe probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.
Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.
Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.
And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.
You can simplify this by calculating (1/2)^4.
= 1/16
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Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?
What is the quotient of startfraction 22 + 3 i over 5 + 2 i endfraction? the quotient is_____.
Therefore , the solution to this problem of fraction comes out to be as quotient 4-i.
What is fraction ?a rational number written in the classic "display" notation form ab or in the in-line notation form a/b, with a standing for the numerator and b for the denominator. A fraction is a piece of the entire.In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction.In the numerator or denominator of a complex fraction is a fraction.
Here,
Given : 22 + 3 i / 5 + 2 i
which can be written as :
=> 22+ 3i / 5+2i
Further dividing 22+ 3i by 5+ 2i
We get remainder as 0
The quotient comes out to be 4-i
Therefore , the solution to this problem of fraction comes out to be as quotient 4-i.
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Please answer in an hour! You will get a thumbs up.
Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.
What is the slope of the line that passes through the points (-5, 6) and (-9, -6)
The slope of the line that passes through the points (-5, 6) and (-9, -6) is 3
What is slope ?
A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).
Let the given points as shown:
(x1,y1)= (-5, 6) and (x2,y2)= (-9, -6)
Slope = m = (y2-y1) /( x2-x1)
= (-6-6) /(-9-(-5))
= -12/-4
= 3
So, the slope of the line that passes through the points (-5, 6) and (-9, -6) is 3
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(−2 3/2)^2
KHAN ACADEMY (EXPONENTS WITH NEGATIVE FRACTIONAL BASE)
The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.
First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."
\(-2^{(3/2)^2}\) = (-2)² × (2/3)²
Now, we can simplify the expression further by solving the exponent of (-2)² and (2/3)²:
(-2)² × (2/3)² = 4 × 4/9 = 16/9
Therefore, the value of the given expression \(-2^{(3/2)^2}\\\) is 16/9.
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The question is :
What is the value of the expression \(-2^{(3/2)^2}\) ?
Solve with explanation
The length of arc FH in the circle 8.37 units.
We know that,
In mathematics, a circle is a closed two-dimensional shape that consists of all the points in a plane that are a fixed distance (called the radius) from a given point (called the center). Circles are used in many areas of mathematics and science, including geometry, trigonometry, and physics. They have important applications in areas such as engineering, architecture, and computer graphics.
Here,
To find the length of arc FH, we first need to find the measure of angle FGH in degrees. Since the sum of angles in a triangle is 180 degrees, we can use the fact that angles FGH and FGF are supplementary to find:
m∠FGF = 180 - m∠FGH = 180 - 86 = 94 degrees
Since FGF is an inscribed angle that intercepts arc FH, the measure of arc FH is twice the measure of angle FGF. So we have:
m(arc FH) = 2 × m∠FGF = 2 × 94 = 188 degrees
To find the length of arc FH, we need to know the circumference of circle G. Since we know that FG = 16 units, we can use this to find the radius of the circle:
r = FG/2 = 16/2 = 8 units
The circumference of the circle is then:
C = 2πr = 2π(8) = 16π
To find the length of arc FH, we need to find the fraction of the circumference that arc FH represents, and then multiply this by the total circumference. Since the measure of arc FH is 188 degrees out of a total of 360 degrees in the circle, we have:
Length of arc FH = (188/360) × C
Substituting the value of C, we get:
Length of arc FH = (188/360) × 16π
Simplifying and rounding to the nearest hundredth, we get:
Length of arc FH ≈ 8.37 units
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use the law of exponents to simplify the following expression
Answer:
5x⁴
Step-by-step explanation:
10x⁸÷2x⁴=
5x⁴
what is the mathematical sentence of "the length of wooden frame is 1foot longer than it's width and it's area is equal to 12ft²" can you translate it into quadratic equation in terms of "x"?
Answer:
x²+x+12 = 0
Step-by-step explanation:
Area if the wooden frame = ,Length ×Width
A = LW
If the length of wooden frame is 1foot longer than it's width, then;
L = W+1
Given
A = 12ft²
Substitute the derived and given parameters into the formula to have;
P = (W+1)W
12 = (W+1)W
Open the parentheses
12 = W²+W
Subtract 12 from both sides
12-12 = W²+W -12
0 = W²+W-12
Rearrange
W²+W-12 = 0
If W = x
The quadratic equation becomes:
x²+x+12 = 0
Write the equation of the line that passes through the points
(0,8) and
(−1,−4). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y + 4 = 12 ( x - 1 )
Step-by-step explanation:
→ Work out the gradient
\(\frac{-4-8}{-1-0} =12\)
→ Substitute the numbers into the y - y₁ = m ( x - x₁ )
y + 4 = 12 ( x - 1 )
asdfruhyhkijgfdsafuhyfjtfrdef
Answer:
Epic
Step-by-step explanation:
stop random spam(thanks for points xD)
what is the translation of the expression 5 more than twice x
Answer:
5+2x
Step-by-step explanation:
Answer:
5 + 2x
Step-by-step explanation: