Answer:
3.1
Step-by-step explanation:
Answer:
3.1
Step-by-step explanation:
Praveena Limited makes a single product, T, using a single raw material R. Standard cost relating to T have been calculated as follows. Standard cost schedule Per Unit (Rs) Direct material, R, 10kg at Rs. 20 per kg 200 Direct labour, 5 hours at Rs.6 per hour 30 Variable production overhead, 5 hours at Rs.1 per hour 5 Fixed production overhead, 5 hours at Rs.10 per hour 50 Standard cost 285 Standard profit 95 Standard selling price 380 The company expects to produce 900 units in month of April 2021. During April 2021 the actual results are as follows. 800 units of product T were produced and sold at Rs. 312,000. 7800 kgs costing Rs. 159,900 were bought and used. 4200 hours were worked during the month and total wages were Rs. 24,150. The variable production overhead for the month was Rs. 4,900. The fixed production overhead for the month was Rs. 47,000. 1. Calculate the following variances for the month of April 2021. a. Direct material cost variance and direct material usage variance b. Direct labor rate variance and direct labor efficiency variance c. Variable overhead expenditure variance and variable overhead efficiency variance d. Fixed overhead expenditure variance, fixed overhead efficiency variance and fixed overhead capacity variance e. Sales price variance and sales volume variance 8 1. Prepare a summary of total cost variances and total sales variances. 2. Identify possible causes for the variances and recommend corrective actions for adverse variances.
work out 5^-2 x cube root 8
Answer:
0.08
Step-by-step explanation:
5 ^-2 * cube root of 8
first of all, let us solve 5^-2
using the law of indices;
a^-2 = 1 / a ^2
following this law, we have;
5^-2 = 1 / 5^2
we know that 5^2 = 25
therefore,
5^-2 = 1 / 25
now, let is continue by solving the cube root of 8
now, there are three ways of solving this;
we could just simply think of any number that when multiplies itself three times times, it gives 8, or we could just simply use a calculator
regardless of what we use, we have to end up with the number 2 as the answer
leading is to our conclusion.
from all our solution, we have reduced our question to;
1 / 25 ( which is 5^-2) * 2 ( which is the cube root of 8 )
= 1 / 25 * 2 / 1
note that 2 is the same as 2 / 1. We put it like this when we want to carry out an operation on an integer ( e.g. 2) and and a fraction ( e.g. 1 / 25 )
so,
1 / 25 * 2 / 1 =
2 / 25 ( the two multiplies the 1 in 1 / 25 and the 25 multiplies the 1 in 2 / 1)
leaving our answer in decimal, we have;
0.08
hope this helps,
thanks!!!
The sum and the product of the roots of 2x 2 − 6x + 10 = 0 respectively are
The sum of the roots of 2x² − 6x + 1 = 0 is 3 and the product is 0.5076.
What is roots?The values of variables that satisfy the given quadratic equation are known as its roots. In other words, x = α is a root of the quadratic equation f(x) if f(α ) = 0. The real roots of an equation f(x) = 0 are the x-coordinates of the points where the curve y = f(x) intersects the x-axis.
To find sum and the product we first need to find roots/zeroes of the quadratic equation 2x² − 6x + 1 = 0, i.e.
⇒ 2x² − 6x + 1
⇒ 2x²−6x + 1
Putting them in quadratic equation
\($ \Rightarrow x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}\)
\($ \Rightarrow x={\frac {-(-6)\pm {\sqrt {(-6)^{2}-4(2)(1)}}}{2(2)}}\)
\($ \Rightarrow x = \frac{3 -\sqrt{7} }{2}\), \($ \Rightarrow x_2 = \frac{3 +\sqrt{7} }{2}\)
⇒ x = 0.177124, x₂ = 2.822876
⇒ x = 0.18, x₂ = 2.82
The sum of the equation roots of 2x² − 6x + 1 = 0 is
0.18 + 2.82 = 3
The Product of the equation roots of 2x² − 6x + 1 = 0 is
0.18 × 2.82 = 0.5076
Thus, The sum of the roots of 2x² − 6x + 1 = 0 is 3 and the product is 0.5076.
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Factor this polynomial completely.
15x2 - 11x-12
O A. (15x - 3)(x + 4)
O B. (3x+3)(5x - 4)
C. (15x – 4)(x+3)
O D. (5x+3)(3x – 4)
Answer:
\(D.\:\left(5x+3\right)\left(3x-4\right)\)
Step-by-step explanation:
\(15x^2 - 11x-12\)
\(\left(15x^2+9x\right)+\left(-20x-12\right)\)
\(15x^2+9x:3x\left(5x+3\right)\)
\(-20x-12:-4\left(5x+3\right)\)
\(3x\left(5x+3\right)-4\left(5x+3\right)\)
\(\left(5x+3\right)\left(3x-4\right)\)
~
Plz help me do this math problem !
Answer:
ITS B
Step-by-step explanation:
well f and t are congruent and st and fl are congruent too and o has vertical angles. so I hope the answer is B
:))))
V (x) = x(9-2x) (11-2x)
The expanded form of V(x) = x(9-2x) (11-2x) is V(x) = 4x^3 - 20x^2 + 99x
How to expand the expression?The missing information in the question is to express V(x) in standard form
We have:
V(x) = x(9-2x) (11-2x)
Open the brackets
V (x) = x(99 - 2x - 18x + 4x^2)
Evaluate the like terms
V (x) = x(99 - 20x + 4x^2)
Expand
V (x) = 99x - 20x^2 + 4x^3
Rewrite as:
V(x) = 4x^3 - 20x^2 + 99x
Hence, the expanded form of V(x) = x(9-2x) (11-2x) is V(x) = 4x^3 - 20x^2 + 99x
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If you roll a number cube 108 times, how many times
would you expect to roll the number one using the
data above?
The total cost of a compact disc, including a 6% sales tax, is $14.31.
What is the price before the tax?
$13.50
$13.45
$13.44
$15.17
The cost of a compact disc before the sale tax is $13.45. The correct option is B.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the total cost of a compact disc, including a 6% sales tax, is $14.31.
The cost before the sale tax will be calculated as,
Cost = 14.31 x ( 1 - 0.06 )
Cost = 14.31 x 0.94
Cost = $13.45
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PLEASE HURRY!!!!!!!!!!!!!!!!!
please solve :( i can’t figure it out whatsoever
Answer:
a) see attached
b) 15015 meters
Step-by-step explanation:
You want the voltage, current, resistance, and power for each component of the circuit shown in the diagram.
Voltage and current lawsThe relevant circuit relations are ...
Kirchoff's voltage law: the sum of voltages around a loop is zeroKirchoff's current law: the sum of currents into a node is zeroOhm's law: voltage is the product of current and resistanceSeries: elements in series have the same currentParallel: elements in parallel have the same voltageVoltageGiven current and resistance for element 1, we immediately know its voltage is ...
V = IR = (4)(10) = 40 . . . . volts
Given the voltage on element 3, we know that parallel element 2 has the same voltage: 30 volts.
Given the voltage at T is 90 volts, the sum of voltages on elements 1, 2, and 4 must be 90 volts. That means the voltage on element 4 is ...
90 -(40 +30) = 20
CurrentThe current in elements 1, 4, and T are all the same, because these elements are in series. They are all 4 amperes.
That 4 ampere current is split between elements 2 and 3. The table tells us that element 2 has a current of 1 ampere, so element 3 must have a current of ...
4 - 1 = 3 . . . . amperes
ResistanceThe resistance of each element is the ratio of voltage to current:
R = V/I
Dividing the V column by the I column gives the values in the R column.
Note that power source T does not have a resistance of 22.5 ohms. Rather, it is supplying power to a circuit with an equivalent resistance of 22.5 ohms.
PowerPower is the product of voltage and current. Multiplying the V and I columns gives the value in the P column.
Note that the power supplied by the source T is the sum of the powers in the load elements.
b) WavelengthWe found that the transmitter is receiving a power of 90 watts, so its operating frequency is ...
(90 W)×(222 Hz/W) = 19980 Hz
Then the wavelength is ...
λ = c/f
λ = (3×10⁸ m/s)/(19980 cycles/s) ≈ 15015 m/cycle
The wavelength of the broadcast is about 15015 meters.
__
Additional comment
The voltage and current relations are "real" and used by circuit analysts everywhere. The relationship of frequency and power is "made up" specifically for this problem. You will likely never see such a relationship again, and certainly not in "real life."
Kirchoff's voltage law (KVL) means the sum of voltage rises (as at T) will be the sum of voltage drops (across elements 1, 2, 4).
Kirchoff's current law (KCL) means the sum of currents into a node is equal to the sum of currents out of the node. At the node between elements 1 and 2, this means the 4 amps from element 1 into the node is equal to the sum of the currents out of the node: 1 amp into element 2 and the 3 amps into element 3.
As with much of math and physics, there are a number of relations that can come into play in any given problem. You are expected to remember them all (or have a ready reference).
<95141404393>
(a)
Give two pairs of twin-prime numbers.
(b)
Identify the pairs of co-prime numbers.
(a) 11,15
(b) 17, 24
(c) 57,19
espero yer ajudado
sorry
Rewrite the equation using the properties of exponents.
\(\sqrt[3]{81y^7}\)
Answer:
3y^2 3√3y(end route) if you are simplifying, and (81y^7)^1/3 if you are rewriting it.
Step-by-step:
I know this!
One pack of sliced cheese weighs 350 grams. How many packages would you need tobuy to have at least 1 kilogram of cheese?
Answer:
3
Step-by-step explanation:
Divide 1kg or 1000g by 350 and round up to the next integer. That's it.
Answer:
3 packages
Step-by-step explanation:
350+350=700
700+350=1100
1000 grams=1 kilograms
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red.
Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow.
Determine the theoretical probability of the spinner not landing on blue, P(not blue).
0.375
0.625
0.750
0.875
The theoretical probability of the spinner not landing on blue is 0.625.
What is probability?Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes.
Given A spinner with repeated colors numbered from 1 to 8 is shown,
total outcome = 8
a favorable outcome for blue = 3
a favorable outcome for red = 1
a favorable outcome for purple = 2
a favorable outcome for yellow = 2
probability = favorable outcome/total outcome
P(blue) = 3/8
P(blue) = 0.375
P(not blue) = 1 - P(blue)
P(not blue) = 1 - 0.375
P(not blue) = 0.625
Hence option B is correct.
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|3k−2|=2|k+2| I need help on this plz,
Answer:
Step-by-step explanation: The final answer is K= 6, -2/5 or in decimal form: K=6, -0.4
Answer:
k=6,-2/5
Step-by-step explanation:
I hope this helps
(PS, it was too complicated to explain)
-Scorpio
Fill in each box with the correct numb
5(X+9)=5. +5.
Answer:
so
box1 = x
box2= 9
Step-by-step explanation:
5(x+9)
distribute
5(x) + 5(9)
5x + 45
Of the students in Bill's grade, 23 students have a pet and the other 10 students do not. What is the ratio of the number of students who do not have a pet to the number of students who have a pet
Answer:
10:33
Also YB better
Step-by-step explanation:
Answer: there will be 33 kids what is 33 divided by 10
3 r 3
Step-by-step explanation: 33÷ 10 = 30
Can someone help me with this
Answer:
2, 4, 6, and 8, respectively
Step-by-step explanation:
The rule says that 2 times the x value, which we are given, equals to y, which we must find. So all we hve to do is multiply each of the given x values by two to get the y value.
Answer:
y=2x
Step-by-step explanation:'
Multiply the x times 2
\(\frac{1}{2}\) \(\frac{2}{4}\) \(\frac{3}{6}\) \(\frac{4}{8}\)
2 4 6 8
A rectangular garden is partitioned into two equal sections across it's diagonal.
If the length of the garden is 12 ft, and the diagonal is 13 ft, what is the value of w?
The width οf the garden is w = 5 ft.
Let's use the Pythagοrean theοrem tο sοlve this prοblem. We knοw that the length οf the garden is 12 ft, and the length οf the diagοnal is 13 ft. Let's use "w" tο represent the width οf the garden. We can set up the fοllοwing equatiοn:
\(13^2 = 12^2 + w^2\)
Simplifying the equatiοn, we get:
\(169 = 144 + w^2\)
Subtracting 144 frοm bοth sides, we get:
\(25 = w^2\)
Taking the square rοοt οf bοth sides, we get:
w = 5 οr w = -5
Since the width οf the garden cannοt be negative, we can discard the sοlutiοn w = -5. Therefοre, the width οf the garden is w = 5 ft.
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Just need A and B, thanks
Two balls are to be pulled from a vase that contains 7 red balls, 9 green balls, and 2 black balls. After the first ball is drawn, it is
not replaced. What is the probability that two red balls are chosen from the vase?
The probability that two red balls are chosen from the vase would be = 1/9
What is probability?Probability is defined as the concept that proves that an event may occur or not.
The number of red balls = 7
The number of black balls = 2
The number of green balls = 9
The total number of balls in the vase = 18
The probability of getting 2 red balls = 2/18 = 1/9
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find the circumcenter
Answer: (0, -2)
Step-by-step explanation:
read the section about the standard error and imagine you were going to take a medication to relieve headaches. medication a had a mean value of relieving headaches of 70% and the standard error of the mean was 30%. medication b had a mean value of relieving headaches of 65% and the standard error of the mean was 2%. which medication would you choose to take? why?
The medication would you choose to take will be mean value of relieving headaches of 65% and the standard error of the mean was 2%.
The huge standard error of the mean means that A will undoubtedly be much riskier. A could very likely relieve your headache, but it could also very unlike to do so because of this large standard error of the mean. Therefore, in an extremely urgent situation, option B would likely be the safer choice because you're more likely to be very close to that 65 percent rate, which is fairly reliable.
There are various mean types in mathematics, particularly in statistics. Each mean helps to summarize a certain set of data, frequently to help determine the overall significance of a specific data set.
The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.
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Which of the following equations represents a line that is perpendicular toy = -2x+4 and passes through the point, (4, 2)?
A. y=-3x +2
B. y - x
O C. y - 3x+4
O D. y = -2x
The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) represents the given point and m is the slope. The equation of the line that is perpendicular to y = -2x + 4 and passes through the point (4, 2) is given by option D: y = -2x.
To determine which equation represents a line perpendicular to y = -2x + 4 and passes through the point (4, 2), we need to consider the slope of the given line. The equation y = -2x + 4 is in slope-intercept form (y = mx + b), where the coefficient of x (-2 in this case) represents the slope of the line.
Since we are looking for a line that is perpendicular to this given line, we need to find the negative reciprocal of the slope. The negative reciprocal of -2 is 1/2. Therefore, the slope of the perpendicular line is 1/2.
Now, we can use the point-slope form of a line to find the equation. The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) represents the given point and m is the slope.
Substituting the values (4, 2) for (x₁, y₁) and 1/2 for m, we get:
y - 2 = (1/2)(x - 4).
Simplifying this equation, we find:
y - 2 = (1/2)x - 2.
Rearranging the terms, we obtain:
y = (1/2)x.
Therefore, option D, y = -2x, represents the equation of the line that is perpendicular to y = -2x + 4 and passes through the point (4, 2).
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Name at least 3 ways you could lose money using person to person apps ?
Answer:
Step-by-step explanation:
Please I don't understand your question
The nth term of a number sequence is 7nFind the first three terms.
Answer:
7, 14, 21
Step-by-step explanation:
for n as term number
n = 1
7n = 7
n = 2
7n = 14
n = 3
7n = 21
hence the first 3 terms are 7, 14, 21
The graph below displays the motion of an individual. The starting point is zero (0,0).
Describe the motion that is occurring at EACH of the 3 line segments.
(Include how they are moving in comparison to the starting point - towards, away, still and/or how their distance is changing over time)
Answer:
The graph above indicates that 1. Starts by drifting far away from the starting point (0,0), Then 2. Stays the same pace but still away from the starting point, finally 3. Starts coming toward the starting point and getting closer again.
Step-by-step explanation:
Help me and cute animes girls will be in ur bedroom tonight
Answer:
The answer is 60 degrees
Step-by-step explanation:
x+20 = 80 (alternate angle)
x=60
what type of hypothesis posits a difference between groups, but the difference is not specified? group of answer choices directional hypothesis research hypothesis nondirectional hypothesis null hypothesis
The type of hypothesis which posits a difference between groups, but the difference is not specified is (c) nondirectional hypothesis.
The Non-Directional hypothesis explains that there is a difference between two groups without specifying the direction of the difference.
The non-directional hypothesis is also known as a two-tailed hypothesis.
For example, a nondirectional hypothesis might be "there is a difference in intelligence between males and females" without specifying whether males or females have higher intelligence.
A nondirectional hypothesis is appropriate when there is no prior knowledge or expectation about the direction of the difference between two groups.
Therefore, the correct option is (c).
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The given question is incomplete, the complete question is
What type of hypothesis posits a difference between groups, but the difference is not specified?
(a) directional hypothesis
(b) research hypothesis
(c) nondirectional hypothesis
(d) null hypothesis.
Mr. Hartzel had 18 books in his home library. He bought 7 new books at the bookstore, then he sold 10 books. How many books does Mr. Hartzel have now?
Answer:
he has 15 books
Step-by-step explanation:
18 + 7 = 25
25 - 10 = 15