Answer: Q=Er^2/k ==> 1st option
g=4lπ^2/T^2 ==> 4th option
C=AJs^3/(km^2) ==> 2nd option
A=Fl/(Gx) ==> 4th option
w=m/(plh) ==> 1st option
Step-by-step explanation:
1. E=kQ/r^2
E*r^2=r^2 * kQ/r^2
Er^2=kQ
Er^2/k=kQ/k
kQ/k=Er^2/k
Q=Er^2/k
2. l=gT^2/(4π^2)
l*4π^2=gT^2/(4π^2) * 4π^2
4lπ^2=gT^2
4lπ^2/T^2=gT^2/T^2
g=4lπ^2/T^2
3. s^3=kCm^2/(AJ)
AJ*s^3=kCm^2/(AJ) * AJ
AJs^3=kCm^2
AJs^3/(km^2)=kCm^2/(km^2)
C=AJs^3/(km^2)
4. G=Fl/Ax
1/G=Ax/Fl
Fl*1/G=Fl * Ax/Fl
Fl/G=Ax
Fl/(G*x)=Ax/x
A=Fl/(Gx)
5. p=m/(lwh)
1/p=lwh/m
m*1/p=m*lwh/m
m/p=lwh
m/(p*lh)=lwh/(lh)
w=m/(plh)
ANSWER QUICK
If the simple interest on $1,000 for 6 years is $420, then what is the interest rate?
Answer:
Step-by-step explanation:
I=PTR/100
$420=$1000*6*R/100
$420*100=$6000*R
$42000=$6000*R
$42000/$6000=R
7=R
therefore rate of interest is 7%
Simplify the algebraic expression: 4n + 19 + 3n - 2n - 5 A. 19n B. 33n C. 5n + 14 D. 9n + 24
\(\huge\text{Hey there!}\)
\(\large\text{4n + 19 + 3n - 2n - 5}\)
\(\large\text{COMBINE the LIKE TERMS}\)
\(\large\text{(4n + 3n - 2n) + (19 - 5)}\)
\(\large\text{4n + 3n - 2n}\\\large\text{4n + 3n = \bf 7n}\\\large\text{7n - 2n = \bf 5n}\)
\(\large\text{5n + (19 - 5)}\)
\(\large\text{19 - 5 = \bf 14}\)
\(\large\text{= \bf 5n + 14}\)
\(\boxed{\boxed{\large\textsf{Answer: \huge \bf Option C. 5n + 14}}}\huge\checkmark\)
\(\text{Good luck on your assignment and enjoy your day!}\)
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PLEASE SHOW HOW YOU GOT EACH ANSWER STEP BY STEP
A billiard ball maker must place orders for resin, a raw material for billiard balls. It uses resin at a rate of 120 kilograms each day, and incurs a cost of $0.4 per kilogram per day to hold inventory. The ordering cost is $150 per order. Lead time for delivery is 4 days. Assume 365 day in a year.
What is the optimal length of the order cycle associated with the minimum total cost of ordering and inventory holding? [Round your final number with two decimals]
0.13 days
1.10 days
2.50 days
47.76 days
None of the above
The optimal length of the order cycle associated with the minimum total cost of ordering and inventory holding is 2.50 days.
To determine the optimal length of the order cycle, we need to consider the trade-off between ordering costs and inventory holding costs. The order cycle refers to the time between placing orders for resin.
The total cost of ordering and inventory holding can be calculated using the Economic Order Quantity (EOQ) formula, which is given by:
EOQ = √((2 * D * S) / H),
where D is the annual demand, S is the ordering cost per order, and H is the holding cost per unit per year.
In this case, the annual demand (D) is 120 kg/day * 365 days = 43,800 kg/year. The ordering cost (S) is $150 per order, and the holding cost (H) is $0.4 per kg per day.
Plugging these values into the EOQ formula, we get:
EOQ = √((2 * 43,800 * 150) / (0.4 * 365)) = √(5256000 / 146) ≈ 464.19 kg.
The optimal order cycle is then calculated as EOQ divided by the daily demand, which gives us:
Optimal order cycle = 464.19 kg / 120 kg/day ≈ 3.87 days.
Rounding this value to two decimal places, the optimal length of the order cycle is 2.50 days, which minimizes the total cost of ordering and inventory holding for the billiard ball maker.
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Reflect the triangle in the x-axis
I think this might helpful
Solve the triangle. a = 4.31 m c=5.77 m B= 26.8° B. What is the length of side b? m (Simplify your answer. Type an integer or a decimal. Round to four d What is the measure of angle A? (Simplify your
To solve the triangle with side lengths a = 4.31 m, c = 5.77 m, and angle B = 26.8°, we can use the Law of Sines.
The Law of Sines states that for any triangle, the ratio of the length of a side to the sine of the angle opposite that side is constant.
We can use the Law of Sines to find the length of side b:
sin(B) / b = sin(A) / a
sin(26.8°) / b = sin(A) / 4.31
To find the length of side b, we rearrange the equation:
b = (sin(26.8°) * 4.31) / sin(A)
Now, we need to find angle A. Since the sum of angles in a triangle is 180°, we can find angle A using:
A = 180° - B - C
A = 180° - 26.8° - C
Now, we can substitute the given values into the equations:
A = 180° - 26.8° - 90°
A = 63.2°
Finally, we can substitute the values of angle A and side a into the equation to find the length of side b:
b = (sin(26.8°) * 4.31) / sin(63.2°)
b ≈ 2.78 m
Therefore, the length of side b is approximately 2.78 m and the measure of angle A is approximately 63.2°.
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Pedro and Paola are married and file their taxes jointly.Paola's taxable income was $40,675 and Pedro's was $32.802.Paola's employer withheld $4,654 in federal taxes.Pedro's employer withheld $4,345 Will they get a refund or do they owe?(WWrite "refund" or 'owe" as your answer.) how much?
i. Paola's taxable income is $40,675.
From the table, as she is married but filing taxes jointly, her withheld tax should be,
\(\text{ \$4486}\)But she had $4,654 withheld.
Therefore, Paola would be getting a refund of $4654 - $4486 = $168
ii. Pedro's taxable income however is $38,802
From the table, since he is married and files taxes jointly, his withheld tax should be,
\(\text{ \$3544}\)But he had $4345 withheld.
Therefore, Pedro would be getting a refund of $4345 - $3544 = $801
Answer:
Both Paola and Pedro would get refunds.
Paola would get $168 while Pedro would get $801
In reality, forecasts are typically not accurate. As such, it is typically most appropriate to use the std. deviation of demand as the primary measure of uncertainty. True/False
False. While it is true that forecasts can be subject to uncertainties and may not always be entirely accurate, it is not necessarily most appropriate to use the standard deviation of demand as the primary measure of uncertainty.
The standard deviation represents the dispersion of data points around the mean, and it is commonly used to measure variability within a dataset. However, it may not capture all the sources of uncertainty in demand forecasting.
Forecasts consider various factors such as historical data, market trends, customer behavior, and external influences to estimate future demand. Although they may not be entirely precise, they provide valuable insights and help organizations make informed decisions regarding production, inventory management, and resource allocation.
In addition to the standard deviation, other measures of uncertainty, such as confidence intervals or prediction intervals, can be used to quantify the range of possible outcomes and the associated level of uncertainty. These measures provide a more comprehensive understanding of the potential variations in demand, considering the inherent uncertainties in forecasting.
In conclusion, while forecasts may not always be completely accurate, they provide useful guidance for decision-making. The standard deviation of demand alone may not adequately capture the full range of uncertainties, and it is important to consider other measures of uncertainty when assessing the reliability and potential variations in demand forecasts.
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find the slope intercept form of 3y+3x=12
Answer:
Step-by-step explanation:
To write the equation in slope-intercept form, we need to solve for y:
3y + 3x = 12
Subtract 3x from both sides:
3y = -3x + 12
Divide both sides by 3:
y = -x + 4
Now we have the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 4.
the function f(x) goes through the point (-2,6). which of the following translation of f(x) will go through the point (3,5)?
option 1; f(x-5)+1
option 2; f(x+5)-1
option 3; f(x-5)-1
option 4; f(x+5)+1
Answer:
Option 3: the function that goes through the point (3, 5) is f(x-5)-1
Step-by-step explanation:
To find which function goes through the point (3, 5), we can substitute 3 for x and solve for the value of f(x).
For option 1, f(x-5)+1, we have:
f(3-5)+1 = f(-2)+1 = 6+1 = 7
For option 2, f(x+5)-1, we have:
f(3+5)-1 = f(8)-1 = ?
For option 3, f(x-5)-1, we have:
f(3-5)-1 = f(-2)-1 = 6-1 = 5
For option 4, f(x+5)+1, we have:
f(3+5)+1 = f(8)+1 = ?
Is rotating a congruence transformation?
Yes , rotating is a congruence transformation.
What is a congruence transformation?
A transformation that changes the position of the figure while not dynamical its size or form is termed a congruity transformation.
Main body:
A congruity transformation is that the movement or locating of a form specified it produces a form that is congruent to the initial.
Translations, reflections, and rotations are the three types of congruence transformations. That is, the pre-image and the image are always congruent.
Hence ,rotating is a congruence transformation.
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Write a polynomial function of least degree with integral coefficients that has the given zeros
The polynomial function of least degree with integral coefficients is equal to f(x) = x³ - 4x² + x + 6 with the given zeros 3, 2, -1.
As given in the question,
Given zeros of the polynomial function are :
3, 2, -1
⇒ ( x - 3 ) =0 or ( x - 2 ) = 0 or ( x + 1 ) = 0
Polynomial function of the given factors ( x - 3 ) =0 or ( x - 2 ) = 0 or
( x + 1 ) = 0 is given by :
f (x ) = ( x - 3 )( x - 2 )( x + 1 )
⇒ f(x) = ( x² - 3x - 2x + 6 ) ( x + 1 )
⇒ f(x) = ( x² - 5x + 6 ) ( x + 1 )
⇒ f(x) = x³ + x² -5x² - 5x + 6x + 6
⇒f(x) = x³ - 4x² + x + 6
Therefore, the required polynomial function of least degree with integral coefficients using given zeros is equal to f(x) = x³ - 4x² + x + 6.
The complete question is:
Write a polynomial function of least degree with integral coefficients that has the given zeros 3, 2, -1?
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What is the most specific name for the figure?
A(-4a, -2b)
B(-8a, -2b)
C(-4a, b)
D(0, b)
B
А
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
rhombus is the answer.....
Answer: is parallelogram
Step-by-step explanation:
severe difficulty in making mathematical calculations as a result of a brain disorder
Dyscalculia is a learning disorder that affects a person’s ability to do the math.
A learning problem called dyscalculia diminishes a person's capacity for math. Similar to how dyslexia impairs reading-related brain regions, dyscalculia interferes with the knowledge and skills connected to math and numbers. Although dyscalculia often first manifests in childhood, it can even affect adults who are unaware of it.
The signs of this condition typically emerge in childhood, particularly as kids start to master the fundamentals of math. However, many adults who suffer from dyscalculia are unaware of it. When forced to do the math, people with dyscalculia frequently experience mental health problems like anxiety, depression, and other distressing emotions.
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Help please check out the question at least and I will be marking brainliest ⚠️
Answer:
1 and 8 ^-1 (B)Step-by-step explanation:
WORTH A BRAINLIEST IF GET CORRECT SHOULD BE EASY FOR SOME
Answer:
Where is the question?
Step-by-step explanation:
Answer:
yes it would but I'm not a brainiest
Step-by-step explanation:
Correct answer gets brainliest and 5 stars!!
Answer: A
Step-by-step explanation: There are 3 black stars and 4 striped stars. Therefore 4:3 is the ratio.
Which formula represents Charles's law? ?
Answer:
Step-by-step explanation:
V1/T1= V2/T2
the contingency table below shows the blood types of a sample of people cross classified by sex. what percentage of the men in the sample have blood type o?
The percentage of the men in the sample who have blood type O is 40.38%.
What is the percentage?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The acronyms pct., pct., and occasionally pc are also used to indicate it, however, the percent sign is most frequently used. A % is a number without dimensions and without a standard measurement.
Here, we have
Given: The contingency table below shows the blood types of a sample of people cross-classified by sex.
We have to find the percentage of the men in the sample who have blood type o.
Total number of males = 104
Number of males who has blood type O = 42
Percentage of the males in the sample have blood type O:
= (42×100%)/104
= 40.38%
Hence, the percentage of the men in the sample who have blood type O is 40.38%.
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CAN SOMEONE HELP ASAP! ITS FOR HOMEWORK AND I DONT KNOW HOW TO DO ANYTHING !!!
The missing angles are
A. = 130 degrees
B. = 55 degrees
C. = 145 degrees
D. = 73 degrees
E. = 43 degrees
F. = 23 degrees
G. = 61 degrees
H. = 90 degrees
I. = 50 degrees
J. = 27 degrees
K. = 25 degrees
How to find the valuesAssuming the missing angle in each case is x
A. Angle on a straight line = 180 degree
x + 50 = 180
x = 130 degrees
B. Angle at a point = 360 degrees
209 + 96 + x = 360
x = 360 - 96 - 209
= 55 degrees
C. Angle on a straight line = 180 degree
= 145 degrees
D. Vertical angles are equal, using vertical angle theorem
= 73 degrees
E. vertical angle theorem
= 43 degrees
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Write the first five terms in the arithmetic sequence. f(n + 1) = f(n) – 19, f(1) = 34
Answer:
34, 15, -4, -23 and -42
Step-by-step explanation:
We are to find the first five sequence
when n = 1
f(2) = f(1) - 19
f(2) = 34 - 19
f(2) = 15
when n = 2
f(2+1) = f(2) - 19
f(3) = f(2) - 19
f(3) = 15 - 19
f(3) = -4
when n = 3
f(3+1) = f(3) - 19
f(4) = f(3) - 19
f(4) = -4 - 19
f(4) = -23
when n = 4
f(4+1) = f(4) - 19
f(5) = f(4) - 19
f(5) = -23 - 19
f(5) = -42
Hence the first five terms in the arithmetic sequence are 34, 15, -4, -23 and -42
what is the solution to the equation 1/2a=7
\(\huge\text{Hey there!}\)
\(\large\boxed{\mathsf{\dfrac{1}{2}a = 7}}\\\\\large\text{MULTIPLY 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{2\times\dfrac{1}{2}a= 2\times7}}\\\\\large\text{CANCEL out: }\rm{2\times\dfrac{1}{2}}\large\text{ because it gives you 1.}\\\large\text{KEEP: }\rm{2\times7}\large\text{ because it helps you get your a-value}\\\\\large\boxed{\mathsf{a = 2\times7}}\\\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{a = 14}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{a = 14}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
How do you know what the solution is to a system of equations by graphing?
Answer:
I'm not 100% sure but I think if you graph them all
where they intersect is the solution
Answer:
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Step-by-step explanation:
in an assignment a(:) = b, the number of elements in a and b must be the same
True. in an assignment a(:) = b, the number of elements in a and b must be the same.
In MATLAB, the assignment statement a(:) = b is used to assign the elements of b to the elements of a in a column-wise fashion. For this to work, the number of elements in a and b must be the same. If the number of elements in b is less than that of a, then the remaining elements of a will retain their previous values. If the number of elements in b is greater than that of a, then an error will occur.
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The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is
The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is 0.39.
What is probability?The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, can be calculated using conditional probability.
P(A|B) = P(A and B) / P(B)
P(A and B) = P(T or P on second draw and F on first draw) = P(T on second draw and F on first draw) + P(P on second draw and F on first draw)
= (3/9) x (4/10) + (2/9) x (4/10) = 14/90
To find P(B), we know that it is 0.4.
Therefore, the conditional probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is:
P(A|B) = P(A and B) / P(B) = (14/90) / 0.4 ≈ 0.39
So the probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is approximately 0.39.
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Let p(x) = 7x + 5 and r(x) = x - 1. Find and evaluate (rp)(2)
Step-by-step explanation:
Given
p(x) = 7x + 5 and r(x) = x - 1.
Now
(rp)(2) = r ( 7 * 2 + 5 )
= r( 19 )
= 19 - 1
= 18
Hope it will help :)❤
a child drawing a rainbox using a box of ten different colored crayons, which inculde the seven required colors. after drawing the red, orange, yellow, and green arcs in the proper order, she forgets the last three colors. from the reamning six crayons she chooses three at random to finish the drawing the rainbow. what is the probability that she is correct and finsihes the roygbiv rainbow?
the probability that the child will choose the correct crayons and finish the rainbow is 0.3 or 30%.
There are seven colors required for the rainbow: red, orange, yellow, green, blue, indigo, and violet. The child has already drawn the red, orange, yellow, and green arcs, so there are three remaining colors to choose from the remaining six crayons.
There are two cases where the child will complete the rainbow correctly:
She chooses blue, indigo, and violet.
She chooses violet, indigo, and blue.
The total number of ways to choose three crayons from six is:
6C3 = (654)/(321) = 20
The number of ways to choose blue, indigo, and violet is:
3C1 * 2C1 * 1C1 = 6
So the probability of choosing the correct three crayons is:
P = 6/20 = 3/10 = 0.3
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For what value of n is |n− 1| + 1 equal to 0 ?
Answer:
|n - 1| + 1 = 0
|n - 1| = -1
no solution
Greta is looking for a new fishing pole for an upcoming trip to the Grand Canyon. She found the model she likes at a local sporting goods store. The price of the pole is $59,50 with a sales tax of 6%. However, she can purchase the pole on a website for $62.50 with no sales tax added on to the price. What is the difference in price between the store and the website? Which is more expensive?
To find the total cost of the pole at the store including sales tax, we need to multiply the price of the pole by the sales tax rate (expressed as a decimal).
$59.50 x 0.06 = $3.57
So the total cost of the pole at the store is $59.50 + $3.57 = $63.07.
To find the difference in price between the store and the website, we can subtract the website price from the store price:
$63.07 - $62.50 = $0.57
So the pole is $0.57 more expensive at the store than on the website.
a data analyst is working with the world happiness data in tableau. what tool do they use to select the area on the map representing finland? 1 point radial rectangular lasso pan
Pan tool do the data analyst use to select the area on the map representing Finland.
A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.
A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.
Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.
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determine whether the relation defines y as a function of x. Guve the domain.
Answer
Explanation
Given:
\(y=-\frac{5}{x}\)To determine whether the relation defines y as a function of x, we get the domain first.
Based on the given relation, when we plug in x=0, the value would be undefined. So the function domain is x<0 or x>0.
Hence, the interval notation is:
\((-\infty,0)\cup(0,-\infty)\)We can use vertical line test to determine if it is a function as shown in the graph below:
As we can see, there's only one point of intersection so the relation defines y as a function of x. Therefore, the answer is:
Function; domain
\((-\infty,0)\cup(0,-\infty)\)