Answer:
625/2401
Step-by-step explanation:
5/7 ^ 4 = 5 * 5 * 5 * 5 / 7*7*7*7 = 625/2401
Answer:
625/2401
Step-by-step explanation:
Given y=4x+2, find the domain value if the range value is 4
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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Golden Sales has bought $135,000 in fixed assets on January 1st associated with sales equipment. The residual value of these assets is estimated at $10,000 after they service their 4 year service life. Golden Sales managers want to evaluate the options of depreciation.
a) Compute the annual straight-line depreciation and provide the depreciation journal entry to be posted at the end of each of the years.
b) Write the journal entries for each year of the service life for these assets using the double-declining balance method.
a) To compute the annual straight-line depreciation, we need to subtract the residual value of the assets ($10,000) from the cost of the assets ($135,000) and divide the result by the number of years of the assets' service life (4 years):
Annual straight-line depreciation = ($135,000 - $10,000) / 4 years = $32,500
At the end of each year, the following journal entry would be posted to record the depreciation of the assets:
Debit: Depreciation Expense $32,500
Credit: Accumulated Depreciation $32,500
b) To compute the double-declining balance method, we need to first determine the double-declining balance rate by dividing 2 by the number of years of the assets' service life (4 years):
Double-declining balance rate = 2 / 4 years = 50%
The double-declining balance method calculates depreciation using the following formula:
Depreciation Expense = (Cost of Asset - Accumulated Depreciation) x Double-Declining Balance Rate
At the end of the first year, the following journal entry would be posted to record the depreciation of the assets using the double-declining balance method:
Debit: Depreciation Expense $67,500
Credit: Accumulated Depreciation $67,500
Where:
Depreciation Expense = ($135,000 - $0) x 50% = $67,500
At the end of the second year, the following journal entry would be posted to record the depreciation of the assets using the double-declining balance method:
Debit: Depreciation Expense $33,750
Credit: Accumulated Depreciation $33,750
Where:
Depreciation Expense = ($135,000 - $67,500) x 50% = $33,750
At the end of the third year, the following journal entry would be posted to record the depreciation of the assets using the double-declining balance method:
Debit: Depreciation Expense $16,875
Credit: Accumulated Depreciation $16,875
Where:
Depreciation Expense = ($135,000 - $101,250) x 50% = $16,875
At the end of the fourth year, the following journal entry would be posted to record the depreciation of the assets using the double-declining balance method:
Debit: Depreciation Expense $8,438
Credit: Accumulated Depreciation $8,438
Where:
Depreciation Expense = ($135,000 - $118,125) x 50% = $8,438
Note: The double-declining balance method results in higher depreciation expense in the earlier years of the assets' service life, compared to the straight-line method. This is because the double-declining balance method uses a higher depreciation rate in the early years and a lower rate in the later years. The choice of depreciation method will depend on the specific circumstances and needs of the company.
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What is −y+9z−16y−25z+4 written in simplest form?
Answer:
\( - 17y−16z+4\)
Step-by-step explanation:
\( - y+9z−16y−25z+4\)
\( - 17y+9z−25z+4\)
\( - 17y−16z+4\)
Hope it is helpful....0.001374 as a standard form.
What’s the answer to this? No spam links plz.
Step-by-step explanation:
0.001374
standard form means writing a value in shortened form, because sometimes values are too big or small to be written, so we use standard form.
in standard for the decimal always comes after the first digit
so,
\(1.374 \times {10 }^{ - 3} \)
the decimal moves 3 digits to the right so it becomes ten raised to the power minus 3.
Solve x2 − 3x = −8. (2 points)
x equals quantity of 3 plus or minus I square root of 29 all over 2
x equals quantity of 3 plus or minus I square root of 23 all over 2
x equals quantity of negative 3 plus or minus I square root of 29 all over 2
x equals quantity of negative 3 plus or minus I square root of 23 all over 2
x equals negative 2 plus or minus 4 I square root of 2
x equals negative 2 plus or minus 2 I square root of 2
x equals negative 1 plus or minus 4 I square root of 2
x equals negative 1 plus or minus 2 I square root of 2
The value of x equals quantity of (3 ± √23)/2.
What is Quadratic Equations?
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given equation;
x² - 3x = -8
x² - 3x + 8 = 0
x² - 2 X 3/2 x + 8 = 0
x² - 2.3/2 x + (3/2)² - (3/2)² + 8 = 0
(x - 3/2)² - 9/4 + 8 = 0
(x - 3/2)² + 23/4 = 0
(x - 1.5)² = -5.75
x - 1.5 = ±√(-5.75)
x = 1.5 ± i√(5.75)
x = (3 ± i√21)/2
Thus, x equals quantity of 3 plus or minus I square root of 23 all over 2.
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Factory overhead is a _____ account.
a. asset
b. liability
c. permanent
d. temporary
Answer:
Factory overhead is a liability account
Factory overhead is a liability account.
What is factory overhead?"Factory overhead is the costs incurred during the manufacturing process, not including the costs of direct labor and direct materials. Factory overhead is normally aggregated into cost pools and allocated to units produced during the period."
What is liability?"A liability (generally speaking) is something that is owed to somebody else. Liability can also mean a legal or regulatory risk or obligation. In accounting, companies book liabilities in opposition to assets."
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A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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A football player completes a pass 67.9% of the time.Find the probability that the first pass he completes is the second pass.
Answer:
0.2587 = 25.87% probability that the first pass he completes is the second pass.
Step-by-step explanation:
Probability that the first pass he completes is the second pass.
Misses the first, with a 100 - 67.9 = 38.1% = 0.381 probability.
Completes the second, with 0.679 probability. So
0.381*0.679 = 0.2587
0.2587 = 25.87% probability that the first pass he completes is the second pass.
Solve 3^5x=10
HELP PLS
Answer:
x = 10/243
Step-by-step explanation:
3^5x = 10
243x = 10
Divide 243 on both sides
10/243
Fill in the missing numbers to complete the pattern: ___, 7.0 ,7.2 ,___ , 7.6, 7.8 what are the missing numbers
Answer:
6.8 7.0 7.2 7.4 7.6 7.8
Step-by-step explanation:
Answer:
1st blank: 6.8
2nd: 7.4
Step-by-step explanation:
thats the answer :)
I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
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Solve for x and graph the solution on the number line below.
The solution of the inequality is 8 ≥ x or x > 10. The graph of the solution is attached
How to solve for x and graph the solution on the number line?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.
Solving for x:
11≥ 2x - 5 or 2x - 5 > 15
Collect like terms:
11 + 5 ≥ 2x or 2x > 15 + 5
16 ≥ 2x or 2x > 20
8 ≥ x or x > 10
Note: 8 ≥ x can also be written as x ≤ 8
We can combine the two as follow:
Inequality notation: 8 ≥ x > 10
The graph of the solution is attached
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The height of a rectangular box is 7 ft. The length is 1 ft longer than thrice the width x. The volume is 798 ft³.
(a) Write an equation in terms of x that represents the given relationship.
The equation is
The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)
Let's break down the information given:
Height of the rectangular box = 7 ft
Length of the rectangular box = 1 ft longer than thrice the width (x)
Volume of the rectangular box = 798 ft³
To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.
The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.
Given that the height is 7 ft, we can substitute this value into the equation.
Volume = (Length) * (Width) * (7)
Now, let's focus on the length. It is described as 1 ft longer than thrice the width.
Length = 1 + (3x)
Substituting this value into the equation, we have:
Volume = (1 + (3x)) * (Width) * (7)
Since the volume is given as 798 ft³, we can set up the equation as follows:
798 = (1 + (3x)) * (Width) * 7
Simplifying further, we get:
798 = 7 * (1 + 3x) * (Width)
Dividing both sides of the equation by 7, we have:
114 = (1 + 3x) * (Width)
Therefore, the equation in terms of x that represents the given relationship is:
114 = (1 + 3x) * (Width)
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What is the slope of the equation y – 3 = –4(x – 5)?
–4
–3
20
23
Answer: slope = -4
Step-by-step explanation:
y – 3 = –4(x – 5)
y - 3 = -4x + 20
y = -4x + 23
slope = -4
PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B
Answer/Step-by-step explanation:
Part A:
(6x + 2)° + (8x + 6)° + (7x + 4)° = 180° (angles in a straight line)
Solve for x
6x + 2 + 8x + 6 + 7x + 4 = 180
Add like terms
21x + 12 = 180
21x + 12 - 12 = 180 - 12
21x = 168
21x/21 = 168/21
x = 8
Part B:
Method 1:
m<CFD + m<CFB + m<BFA = 180° (Angles in a straight line)
m<CFD + (6x + 2)° + (8x + 6)° = 180° (substitution)
Plug in the value of x
m<CFD + 6(8) + 2 + 8(8) + 6 = 180
m<CFD + 48 + 2 + 64 + 6 = 180
m<CFD + 120 = 180
m<CFD + 120 - 120 = 180 - 120
m<CFD = 60°
Method 2:
m<CFD = m<AFE (vertical angles are congruent)
m<CFD = (7x + 4)° (substitution)
Plug in the value of x
m<CFD = 7(8) + 4
m<CFD = 60°
Six more than twice a number is twelve
Answer would be:
2x+6=12
Answer:
The answer is 3
Step-by-step explanation:
6+2x=12
2x=12-6
2x=6
2x/2=6/2
x=3
Out of 200 students in a senior class, 32 seniors are in the band and 64 seniors are in the band or on the honor roll. What is the probability that a randomly selected senior is both in the band and on the honor roll? Express your answer a fraction in simplest form.
The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.
Given:
Total number of seniors = 200
Number of seniors in the band = 32
Number of seniors in the band or on the honor roll = 64
Let's calculate the probability using these values:
Probability = Number of seniors in both categories / Total number of seniors
Probability = 64 / 200
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:
Probability = (64 ÷ 8) / (200 ÷ 8)
Probability = 8 / 25
Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
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Translate this sentence into an equation 12 more than Craig’s score is 70 use the variable c to represent his score
Reason:
c = Craig's score
c+12 = twelve more than Craig's score
c+12 = 70 because the key term "is" translates to "equals". As an example, saying "x is 5" means "x = 5".
HELP PLEASE! LOTS OF POINTS: How many distinct positive integer factors would the following product have: 21 times 36 times 51?
Write the equation of the scenario.
Tony's father is thinking of buying his son a six-month movie pass for $40. With the
pass, movies cost $3.00 each.
Answer:
13.3
Step-by-step explanation:
you just divide 40 and 3
For any nonnegative real number c,(_/c)^2=_____.
Answer:
A. c
Step-by-step explanation:
We don't really need the restriction. One part of the definition of
√c
is that when it's squared, we'll get
(√c)^2=c
For a non negative real number c, (√c)² is equivalent to c
Exponential expressionsGiven the following exponential expression
(√c)²
The square root of can also be expressed as:
√c = \(c^{1/2}\)
Substitute
(√c)² = \((c^{1/2})^2\)
Multiply the exponents to have;
(√c)² = c
Hence for a non negative real number c, (√c)² is equivalent to c
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Angles L and M are supplementary. What is the sum of their measures? The sum of the measures of angles L and M is °.
Answer:
180 degrees
Step-by-step explanation:
Supplementary means the 2 angles sum equals 180 degrees.
PLEASE HELP ME RIGHT NOW ASAP
Answer:
Step-by-step explanation:
Let's just say this circle has value x.
x increases by 5%, or 0.05 of x.
x + 0.05x = 1.05x
1.05x now increases by 5% again:
1.05x + 0.05(1.05x) = 1.1025x
The total increase is equal to (1.1025-1)*100 = 10.25%
Hope this helps!
b) Calculate the area of the trapezium
5.2cm
Not drawn accurately
6cm
4.5cm
10.8cm
Step-by-step explanation:
\( \underline{ \underline{ \text{Given}}} : \)
Height ( h ) = 4.5 cmBase 1 ( b ) = 5.2 cmBase 2 ( b ) = 10.8 cm\( \underline{ \underline{ \text{To \: find}}} : \)
Area of the given trapezium\( \underline{ \underline{ \text{Solution}}} : \)
\( \boxed{ \sf{Area \: of \: a \: trapezium = \frac{1}{2} h \: (b_{1} + b_{2})}}\)
Plug the known values and then simplify !
⟶ \( \sf{ \frac{1}{2} \times 4.5 \times (5.2 + 10.8)}\)
⟶ \( \tt{ \frac{1}{2} \times 4.5 \times 16}\)
⟶ \( \tt{36 \: {cm}^{2} }\)
\( \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{36 \: {cm}^{2} }}}}}}}}\)
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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An object has a volume of 7cm³ and a mass of 56g. What is its density in g/cm³?
Hint: density × volume = mass
Answer:8
Step-by-step explanation;Since you want to find the density but you already have the mass you do the inverse operation and divdie 56 by 7 and get 8.
Answer:
8 g/cm³
Step-by-step explanation:
Density can be defined as the amount of substance per unit volume. To calculate density, divide the mass by volume.
Given: volume= 7cm³, mass= 56g
Density
= 56 ÷7
= 8 g/cm³
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The distance between the Earth and the Moon is approximately 1,260,000,000 feet, and a rocket can travel there at a speed of about 1,540,000 ft/min. How long will it take the rocket ship to travel to the moon and back, in minutes? Express your final answer in minutes and round to the nearest minute. Be sure to convert each number to scientific notation first, before performing any operations. show your work.
It will take approximately 169 minutes for a the rocket to travel a distance of 1,260,000,000 feet at 1,540,000 ft/min
Speed, Distance and TimeGiven Data
Distance = 260,000,000 feetSpeed = 1,540,000 ft/minApplying the relationship between speed, distance and time we have
Speed = Distance/Time
Substituting our given data into the expression we have
1,540,000 = 260,000,000/time
Making time subject of formula
time = 260,000,000/1,540,000
time = 169 miniutes
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What are the coordinates of the verticals of the image of triangle DEF at the dilation Sincer and Fe with a scale factor of one over three followed by a translation along Victor -3,5
The rule applied to obtain each vertex of the triangle DEF after the transformations is given as follows:
(x,y) -> 1/3(x - 3, y + 5).
How to obtain the coordinates of each vertex?The original coordinates of triangle DEF have the following format:
(x,y).
The dilation by a scale factor of 1/3 means that each of the coordinates is multiplied by 1/3, hence:
(x,y) -> 1/3(x,y).
The translation along the vector <-3,5> means that the x-coordinate is subtracted by 3 while 5 is added to the y-coordinate, hence:
(x,y) -> 1/3(x - 3, y + 5).
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A student has gotten the following grades on his tests: 87, 95, 76, and 88. He wants an 85 or better overall. What is the minimum grade he must get on the last test in order to achieve that average?
Answer:
He must get at least a 90 in order to recieve an 85 percent or higher
Step-by-step explanation:
awnser the qusetion 9iu523hb5hn33
The order of the matrices of each product is given as follows:
AB is nonexistent, BA is nonexistent.
How to apply multiplication of matrices?Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.
For the product AB, we have that:
A has four columns.B has two rows.Hence the product is nonexistent.
For the product BA, we have that:
B has four columns.A has two rows.Hence the product is nonexistent.
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