Answer:
6
Step-by-step explanation:
Can anyone help me with this math equation?
Answer:
yes I can help you. the answer to the problem is 4/35.
Step-by-step explanation:
1. convert any mixed number into fractions.
your equation becomes 4/7÷5/1. this equals 4×1 over 7×5. multiply normally and your result is 4/35
Write the prime factorization of 21. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
The prime factorization of the number 21 is:
21 = 3*7
How to write the prime factorization?We want to write the prime factorization of 21.
To do so, we just need to divide the number by prime numbers.
The first prime number we can try is 2, if we divide by 2 we get:
21/2 = 10.5
This is not an integer, so 2 is not a factor.
The next one is 3:
21/3 = 7
Now we can rewrite:
21 = 3*7
Where 3 and 7 are prime numbers, so that is the prime factorization.
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Consider the point with polar coordinates (6,3π/2). Find the Cartesian coordinates of this point. 4. Find polar coordinates for the point whose Cartesian coordinates are (−3,3). Then find different polar coordinates for the same point.
The polar coordinates for the point (-3, 3) are (3√2, -π/4).
The different polar coordinates for the same point (-3, 3) can be expressed as (3√2, 7π/4), (3√2, -π/4 + 2π), (3√2, -π/4 - 2π), and so on.
Here, we have,
To find the Cartesian coordinates (x, y) from the polar coordinates (r, θ), we can use the following formulas:
x = r * cos(θ)
y = r * sin(θ)
Let's apply these formulas to the given polar coordinates (6, 3π/2):
x = 6 * cos(3π/2)
= 6 * 0
= 0
y = 6 * sin(3π/2)
= 6 * (-1)
= -6
Therefore, the Cartesian coordinates of the point with polar coordinates (6, 3π/2) are (0, -6).
Now, let's find the polar coordinates for the point (-3, 3) given in Cartesian coordinates. We can use the inverse trigonometric functions to find the angle:
r = √(x² + y²)
= √((-3)² + 3²)
= √(9 + 9)
= √18
= 3√2
θ = atan2(y, x)
= atan2(3, -3)
= atan(-1)
= -π/4
Therefore, the polar coordinates for the point (-3, 3) are (3√2, -π/4).
There are infinitely many possible polar coordinates for a given point in the Cartesian plane, as angles can be represented in different ways.
In this case, we can represent the angle -π/4 as 7π/4, -π/4 + 2π, -π/4 - 2π, and so on.
So, different polar coordinates for the same point (-3, 3) can be expressed as (3√2, 7π/4), (3√2, -π/4 + 2π), (3√2, -π/4 - 2π), and so on.
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The 15 Point Project Viability Matrix works best within a _____ structure.
A. DMADV
B. DMAIC
C. Manufacturing
D. Service
The 15 Point Project Viability Matrix is a tool used to assess the feasibility and viability of a project. It consists of 15 key factors that should be considered when evaluating a project's potential success., the 15 Point Project Viability Matrix works best within a DMAIC structure.
DMAIC is a problem-solving methodology used in Six Sigma that stands for Define, Measure, Analyze, Improve, and Control. The DMAIC structure provides a framework for identifying and addressing problems, improving processes, and achieving measurable results. By using the 15 Point Project Viability Matrix within the DMAIC structure, project managers can systematically evaluate the viability of a project, identify potential risks and challenges, and develop strategies to overcome them. This approach can help ensure that projects are successful and deliver value to the organization.
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The surface area of a three-dimensional object is? This is a brainpop question, there is no picture, and tis a straight forward question
Answer:
What it is is basically when you take the area of every side of a three dimensional shape and then add it all together.
don't know if this is what you were looking for but I hope this helps.
the prices of houses in the us are strongly skewed to the right with a mean of $383,500 and a standard deviation of $289,321. a real estate agent takes a random sample of 10 houses and records the mean price. what is the shape of the distribution of the sample mean for all possible random samples of size 10 from this population? skewed left skewed right approximately normal approximately uniform
The sample means a distribution from this population will be right-skewed for all conceivable random samples of size 10.
What do we mean by the sample mean?The mean value of a data sample drawn from a significant data population is referred to as the "Sample Mean." It is a useful tool for figuring out the population mean if the sample size is large and the statistical researchers randomly choose portions of the population. The most obvious advantage of the sample means is the ability to provide information that is appropriately applicable to a larger group. This is important because it makes it possible to conduct statistical analysis without having to go through the challenging process of surveying each participant.So, in the situation where, home prices in the US are heavily skewed to the right, with a mean price of $383,500 and a standard deviation of $289,321.
For all conceivable random samples of size 10 from this population, the sample means distribution will have a right-skewed form.
Therefore, the sample means a distribution from this population will be right-skewed for all conceivable random samples of size 10.
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an equation of the line that passes through the point (–4, 6) with slope –4.
Answer:
y = –4x–10
Step-by-step explanation:
First write the equation of a straight line: y=mx+c
Using the coordinate given, x = –4 and y = 6. m = –4.
Substitute these values into the equation and solve for c.
6 = (–4×–4) + c
6 = 16 + c
subtract 16 from both sides
–10 = c
now write the full equation using c.
y = –4x+–10
simplify
y = –4x–10
your recipe calls for 7 ounces of granulated sugar, but your kitchen scale only measures weight in grams. how many grams of granulated sugar will you need to measure to equal 7 ounces?
Answer:198.447
Step-by-step explanation:
just search 7 ounces to grams
Mary, who is married and the mother of three, is 35 years and expects to work until 75. She earns $55,000 per year. Mary expects inflation to be 3% over her working life, and the appropriate risk-free discount rate is 5%. Her personal consumption is equal to 27% of her after-tax earnings, and her combined federal and state marginal tax bracket is 15%. What is the amount of life insurance necessary for Mary using the Human Life Value method?
What if Mary works until 70? What would be the amount of life insurance necessary for her?
What is the amount of life insurance necessary for Mary using the Capitalization of Earnings method if she works until 75?
What is the amount of life insurance necessary for Mary using the Capitalization of Earnings method if she works until 70?
Mary's HLV is $2,215,773.95.
Mary's HLV if she works until 70 is $1,611,008.23.
Mary's COE if she works until 75 is $5,130,372.40.
Mary's COE if she works until 70 is $2,985,308.60.
How to find amount of life insurance?To calculate the Human Life Value insurance (HLV) of Mary, we need to determine the present value of her future income stream.
Annual after-tax earnings = $55,000 x (1 - 0.15) = $46,750
Total after-tax earnings over working life = $46,750 x (1 + 0.03)^(75-35) = $3,382,820.33
Total personal consumption = 27% x $3,382,820.33 = $914,073.89
Calculate Mary's HLV:
= $3,382,820.33 - (1 + 0.05)^(-1) x $914,073.89
= $2,215,773.95
Therefore, Mary's HLV is $2,215,773.95.
If Mary works until 70 total after-tax = $46,750 x (1 + 0.03)^(70-35) = $2,124,182.09
Mary's HLV if she works until 70 is $1,611,008.23.
To calculate the Capitalization of Earnings (COE) method. Here's how we can calculate it:
Calculate Mary's expected earnings in her final year of work:
Expected earnings in final year = $55,000 x (1 + 0.03)^(75-35) = $256,518.62
Apply a capitalization rate to the expected earnings:
COE = expected earnings in final year / capitalization rate
= $256,518.62 / 0.05
= $5,130,372.40
Therefore, Mary's COE if she works until 75 is $5,130,372.40.
If Mary works until 70, her expected earnings in her final year of work would be:
Expected earnings in final year = $55,000 x (1 + 0.03)^(70-35) = $149,265.43
Mary's COE if she works until 70 is $2,985,308.60.
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Jerry is presently twice as old as his brother and six years older than his sister. How many years from now will Jerry's age be $\frac{2}{3}$ of the combined ages of his brother and sister at that time
Using leaner equation we find that After 12 years from now will Jerry's age be (2/3) of the combined ages of his brother and sister at that time.
What is leaner equation?A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Let Jerry's brother present age be X years,
Then Jerry's present age will be 2x
And his sister's present age will be 2X - 6
And let y be the number of years from now when Jerry's age = (2/3) of combined age of his brother and sister.
So we have that,
(2X + y) = (2/3) [(X + y) + (2X - 6 + x)]
simplify the above equation
2X + y = (2/3) [3X + 2y - 6]
multiply through by 3/2
3X + (3/2)y = 3X + 2y - 6
subtract 3X from both sides
(3/2)y = 2y - 6
subtract 2y from both sides
-1/2y = -6
divide both sides by -1/2
y = 12 years
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Find the sale price of a $15 item after a 20% discount.
Answer:
12
Step-by-step explanation:
find 20% of 15 and then take that away from the 15
help me please the question is in the image
Answer:
As
\(g(x)+f(x) = 2x+3\)
Thus, option B is correct.
Step-by-step explanation:
Given
\(h(x)=3x-4\)\(g(x)=9x+1\)\(f(x)=-7x+2\)\(g(x) + f(x) = (9x+1) + (-7x+2)\)
\(= 9x+1 -7x + 2\)
\(= 2x + 3\)
As
\(g(x)+f(x) = 2x+3\)
Thus, option B is correct.
A shirt is on sale for 25% off and you paid $21.75. What was the original cost of the shirt?
Answer:
16.31
Step-by-step explanation:
16.31 is your new price
Step-by-step explanation:
30.4375 is the original price.
During a cold winter, the temperature stayed below zero for ten days (ranging from -20 to -5). The variance of the temperatures of the ten day period A. is negative since all the numbers are negative B. must be at least zero C. can not be computed since all the numbers are negative D. can be either negative or positive
Using the variance concept, it is found that the correct option is:
B. must be at least zero
The mean of a data-set is the sum of all observations divided by the number of observations.The variance of a data-set is the sum of the differences squared between each term and the mean, divided by the number of values.Since the variance is squared, it's minimum value is 0, and thus, the correct option is:
B. must be at least zero
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lowkey need help with this.
9514 1404 393
Answer:
c = 14
no extraneous solutions
Step-by-step explanation:
You can subtract the right-side expression, combine fractions, and set the numerator to zero.
\(\dfrac{c-4}{c-2}-\left(\dfrac{c-2}{c+2}-\dfrac{1}{2-c}\right)=0\\\\\dfrac{c-4}{c-2}-\dfrac{1}{c-2}-\dfrac{c-2}{c+2}=0\\\\\dfrac{(c-5)(c+2)-(c-2)^2}{(c-2)(c+2)}=0\\\\\dfrac{(c^2-3c-10)-(c^2-4c +4)}{(c-2)(c+2)}=0\\\\\dfrac{c-14}{(c-2)(c+2)}=0\\\\\boxed{c=14}\)
__
Check
(14 -4)/(14 -2) = (14 -2)/(14 +2) -1/(2 -14) . . . . substitute for c
10/12 = 12/16 -1/-12
5/6 = 3/4 +1/12 . . . . true
There is one solution (c=14) and it is a solution to the original equation. There are no extraneous solutions.
La Michoacana bakery bakes 120 pieces
of sweet bread in 4 hours. At this rate,
how many pieces of sweet bread can be
baked in 12 hours?
PLS HURRY TELL ME
Answer:
120
Step-by-step explanation:
Amazon Math Flow Questions • You have 30 associates who all work an 8 hour day, 5 days a week. 2 need to be indirect-they are not on the floor producing. Your direct rate is 150 units per hour but you have two 15 minute breaks during the day. How many units can your department produce in a 40 hour week? . If you need to produce an extra 10,000 units in a given week how many extra people will it require? Question: Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a... Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a total of 60 sandwiches. The deli wants an efficient way to increase the sandwich output using the same five workers and 10 hour shift (Don't Factor Break in) to produce 75 because of the 25% increase due to the expansion of the deli. What would you do to make the the process more efficient? Where each sandwich would take 8 minutes to make instead of 10 minutes. Please answer the question throughly.
Extra people required is 50.
Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Question 1 :
Number of associates = 30
Number of direct workers = 30 - 2 = 28
You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.
Direct rate = 150 units per hour
Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week
= 37.5 hours per week
Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units
28 people produce 5625 units in a week
Let x people produce 10,000 + 5625 = 15,625 units in a week
Using proportion,
28 : 5625 = x : 15,625
28 / 5625 = x / 15,625
x = (28 × 15,625) / 5625 = 77.78 ≈ 78
Extra people required = 78 - 28 = 50
Question 2 :
Number of sandwiches made in 10 minutes = 1
Number of sandwiches made in 10 hours = 60
5 workers are there. one worker makes 60/5 = 12 sandwiches
But Deli want number of sandwiches in 10 hours = 75
One worker should make 75/5 = 15 sandwiches instead of 12.
Number of sandwiches made in 8 minutes should be 1.
So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.
Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.
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What is the value of 11 with a exponit of 4
Answer: 14641 mark brainliest please
Step-by-step explanation: 11x11x11x11=14641
How many cubic centimetres would you place in a tub of water to displace 1 L of water?
1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water
What is conversion of units?Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.
From the information given, we have that;
Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water
So, we have that there is 1 liter of water in the tub
In order to displace, you need to put something in that is the same amount
Now, let's convert the units
1 liter = 1000 cubic cm
Hence, you need 1000 cubic cm to displace 1 liter
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The height of the triangle is measured 4mm and the base is 12 mm what is the area of this triangle awnsers: 24 sq mm, 48 sq mm, 36 sq mm, and 51 sq mm
Answer:
24 sq mm
Step-by-step explanation:
a=1/2(b*h)
a=1/2(12*4)
1/2(48)
a=24
don't forget the units...
24mm^2 (or sq mm)
hope this helps ;)
What is the solution to 0.2 (4x - 8) = 0.4(12-2x)
Answer:
x = 4
Step-by-step explanation:
Let's multiply both sides by 5 to get rid of the leading fractions.
5 X 0.2 (4x - 8) = 5 X 0.4(12-2x)
(4x-8) = 2 (12-2x)
4x - 8 = 24 - 4x
8x = 32
x = 4
x = 4
If a 50 kg object is at a location 25,600 km from Earth’s center, what is the gravitational force exerted by the object on Earth? In what direction does that force act?
Answer:
Approximately \(30\; \rm N\) toward the center of the object.
Step-by-step explanation:
Look up the gravitational constant and the mass of the earth:
\(\begin{aligned}G &\approx 6.67 \times 10^{-11}\; \rm m^{3} \cdot kg^{-1} \cdot s^{-2} \\ &= 6.67 \times 10^{-11} \; \rm N \cdot m^{2} \cdot kg^{-2}\end{aligned}\).
\(M \approx 5.97 \times 10^{24}\; \rm kg\).
Convert the unit of distance to standard units:
\(\begin{aligned}r &= 25600\; \rm km \\ &= (25600 \times 10^{3})\; \rm m \\ &= 2.56 \times 10^{7}\; \rm m\end{aligned}\).
Consider two spherical objects with mass \(m_{1}\) and \(m_{2}\). Let \(r\) denote the distance between the centers of the two objects. By Newton's Law of Universal Gravitation, the size of the gravitational force between these two objects would be:
\(\begin{aligned}F &= \frac{G \cdot m_{1} \cdot m_{2}}{r^{2}}\end{aligned}\).
Thus, the size of the gravitational force between this object and the earth would be:
\(\begin{aligned}F &= \frac{G \cdot m \cdot M}{r^{2}} \\ &\approx \frac{1}{2.56\times 10^{7}\; \rm m} \\ &\quad \times 6.67 \times 10^{-11}\; \rm N \cdot m^{2}\cdot kg^{-2} \\ &\quad \times 50\; \rm kg \times 5.97 \times 10^{24}\; \rm kg \\ &\approx 30\; \rm N\end{aligned}\).
Since gravitational force is attractive, the \(50\; \rm kg\) object in this question would attract the earth through the gravitational force. Thus, this force would point towards the center of this \(50\; \rm kg\!\) object.
A particular plant root grows 3.5 inches per month.How many centimeters is the plant growing each month?
Answer:1 inch = 2.54 centimeters so the answer is 3.76
Step-by-step explanation:
(1 inch = 2.54 centimeters). 0.73 centimeters 1.38 centimeters 6.04 centimeters 8.89 centimeters unsubscribe · report · tue mathematics
Graph the equation y=-1/4(x-2)(x+6) khan academy
Answer: x=−6,2
Step-by-step explanation:
The number of calls recelved by an office on Monday morning between 8.00 AM and 900 AM has a mean of 5 . Calcukte the probability of getting exadily 4 calls between elght. and nine in the morning. Round your answer to foue decimal places
Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.
To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:
P(X = k) = (e*(-λ) * λ\(^k\)) / k!
Where:
P(X = k) is the probability of getting exactly k calls
e is the base of the natural logarithm (approximately 2.71828)
λ is the mean number of calls (given as 5)
k is the number of calls (in this case, 4)
k! is the factorial of k
Let's calculate the probability using the formula:
P(X = 4) = (e*(-5) * 5⁴) / 4!
P(X = 4) ≈ 0.1755
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Wanda rides her bike 5 hours a week. How many hours does she ride in 4 weeks?
Answer:
20
Step-by-step explanation:
We can put the rate of hours a week as 5. Since in this case hours will substitute for distance, and distance=speed*time, then the amount of hours will be 5*4=20.
edit: mistyped
Answer:
20 hours
Step-by-step explanation:
Given the following question:
5 hours per week
How many hours does she ride in 4 weeks?
We know the amount of hours Wanda rides per week, so this is a simple multiplication problem.
\(5h\times4w\)
\(5\times4=20\)
\(=20\)
Wanda rides her bike for "20 hours" in 4 weeks.
Hope this helps.
Which line has a slope of zero?
Answer:
Line D
Step-by-step explanation:
Slope equals 0 means that a line parallel with the x-axis. Hence, line D would be the perfect answer.
A line passes through the points M(0, 1, 4) and N(1, 4, 5). Find a vector equation of the line. A [x, y, z]-[0, 1, 4]+[1, 4, 5] B [x, y, z) [1, 3, 1]+[0, 1, 4] C (x, y, z)-[1.3. 1] + [1, 4, 5] D [x, y
The equation of the line that passes through point M(0,1,4) and N(1,4,5) is (1, 3, 1) + (0, 1, 4).
option B.
What is the vector equation of the line?The equation of the line that passes through point M(0,1,4) and N(1,4,5) is calculated as follows;
r = θ + a
where;
a is the position vectorθ is the direction of the vectorLet the position vector, a = (0, 1, 4)
The direction of the vector is calculated as follows;
θ = (1, 4, 5 ) - (0, 1, 4)
θ = (1-0, 4-1, 5-4, )
θ = (1, 3, 1)
The equation of the line that passes through point M(0,1,4) and N(1,4,5) is;
r = (1, 3, 1) + (0, 1, 4)
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pls help asap screenshot also posted- Which expression is equivalent to the given expression? 180‾‾‾‾√⋅230‾‾
The expression √180 * 2√30 is equivalent to the expression 60√6
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
The square root is a factor of a number that, when multiplied by itself, gives the original number.
Given the expression √180 * 2√30
Collecting like terms give:
= 2√(180 * 30)
Simplifying:
= 60√6
The expression √180 * 2√30 is equivalent to the expression 60√6
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what is 13/50 as a decimal and percent
decimal = 0.26
percent = 26%