Answer:2
Step-by-step explanation:
how to find the surface area
Answer:
364m^2
Step-by-step explanation:
Surface area is calculated by adding the area of each face.
Because this is a cubiod, there are 6 sides in pairs of identical area.
4m × 5m = 20m^2
4m × 18m = 72m^2
5m × 18m = 90m^2
90m^2 +72m^2 +20m^2 = 182m^2
This is 3 faces of the 6, so double it.
182m^2 ×2 = 364m^2
The Cartesian components of vectors
A
and
B
are given as: Ax=7.6,Bx=−5.1,Ay=−9.2 and By=−6.8 Calculate the magnitude of the vector
B
−
A
?
To find the magnitude of the vector B - A, we need to subtract the corresponding components of vector A from vector B and then calculate the magnitude of the resulting vector. the magnitude of vector B - A is approximately 12.93.
Vector B - A can be obtained by subtracting the x-component and y-component of vector A from the x-component and y-component of vector B, respectively.
The x-component of B - A is calculated as Bx - Ax, which is equal to (-5.1) - 7.6 = -12.7.
Similarly, the y-component of B - A is By - Ay, which is equal to (-6.8) - (-9.2) = 2.4.
Now, we have the x-component and y-component of vector B - A. To find the magnitude of this vector, we use the Pythagorean theorem:
Magnitude = sqrt((x-component)^2 + (y-component)^2) = sqrt((-12.7)^2 + (2.4)^2) = sqrt(161.29 + 5.76) = sqrt(167.05) ≈ 12.93.
Therefore, the magnitude of vector B - A is approximately 12.93.
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a path diagram allows you to determine the effect of one variable upon another both directly and indirectly through an intervening variable. true false
The given statement "a path diagram allows you to determine the effect of one variable upon another both directly and indirectly through an intervening variable. " is true.
Given that,
To justify the given statement whether it is true or not.
proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
According to the question,
Let the two interdependent numbers be x and y,
y ∝ x
y = kx
Or
x = y/k
Thus, a path diagram allows you to determine the effect of one variable upon another both directly and indirectly through an intervening variable.
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Write a division equation that represents the question: how many 3/8s are in 5/4
The division equation is x * 3/8 = 5/4 and there are (10/3) times 3/8s there in 5/4.
Let's assume that x times 3/8 are in 5/4.
So, calculating a division equation for the value of x.
x * 3/8 = 5/4
=> x = 5/4 * 8/3
=> x = 40/12
Dividing the numerator and denominator by 4.
We get, the value of x equal to
=> x = 10/3
Division equation: A division equation is a mathematical expression containing a division operator. Division equations are useful not only in math class but also in everyday life.
For example, if we want to share a bundle of papers equally with our friends, we can use this solution to find the given question. 100 papers and we have 10 friends. To find out how many papers each person gets, divide 100 by 10. The solution is 10. This means that each friend receives 10 papers.
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State whether the sequence is Arithmetic, Geometric, or Neither: 40, 43, 46, 49, ......
Answer:
t2-t1 =43-40
Step-by-step explanation:
you subtract the second term by the first term to get the common difference
4 monkeys is _______% of 20 monkeys.
1 point
5
4
20
50
_______% of 50 robots is 35 robots.
1 point
50%
35%
70%
10%
Answer:
hm
Step-by-step explanation:
(Expected rate of return and risk) B. J. Gautney Enterprises is evaluating a security. One-year Treasury bills are currently paying 4.8 percent. Calculate the investment's expected return and its standard deviation. Should Gautney invest in this security? Probability 0.20 Return - 4% 4% 7% 0.45 0.15 0.20 10% (Click on the icon in order to copy its contents into a spreadsheet.) ...) a. The investment's expected return is%. (Round to two decimal places.)
The investment's expected return is 5.95%.
Is the investment's expected return favorable for Gautney?The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.
To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.
In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.
Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.
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Please full explanation please
I will mark brainlist :)
Answer:
z = 8
Step-by-step explanation:
PythagoreanTheorem
a^2 + b^2 = c^2
a and b stand for the legs while c stands for the hypotenuse. Since we have the numeral for one of the legs and the hypothenuse, we can plug those into the formula.
a^2 + 15^2 = 17^2
a^2 = 64
a = 8
Answer:
z=8
Step-by-step explanation:
i dont know if this will help but its the best i got
I was saving
3
of a chocolate cake to eat after dinner. My
little brother snuck down and ate
of MY chocolate cake. How
much did my brother eat?
Answer:
I'm guessing 1/3 but there is like missing pieces to the problem.
21. Evaluate f(x) = 3x + 8 for x = 1.
Answer:
f(1) = 11
Step-by-step explanation:
f(x) = 3x + 8
Let x=1
f(1) = 3(1) +8
= 3+8
= 11
A cylinder has a volume of 486 pi ft^3. if the height is 6ft what is the diameter
d=24
d=30
d=25
d=18
step by step answer please
Answer:
18
Step-by-step explanation:
Alright so here you have to work backwards. the volume of a cylinder is pi*r^2*h.
Your equation: 486 pi = pi*r^2*6
You know the height is 6 feet, so you can get rid of the 6 feet hanging off of your equation by dividing both sides by 6:
81 pi = pi*r^2
Now you notice that both sides have pi. You can eliminate it by dividing both sides by pi:
81 = r^2
To isolate the r, radius, you have to take the square root of both sides, since a square root is the inverse operation of squaring. You get:
9 = r
Now that you have the radius, you can find the diameter by multiplying the radius by 2, because a diameter = 2 * the radius:
18 = d
Hope this helps!
Solve the following system of equations by substation.
5y = 7x + 22
x = -6y + 17
A. (2,-1)
B. (5,3)
C. (-1,3)
D. (-1,4)
Answer:
C. (-1, 3)
Step-by-step explanation:
Label the 2 equations:
5y= 7x +22 -----(1)
x= -6y +17 -----(2)
Substitute (2) into (1):
5y= 7(-6y +17) +22
5y= -42y +119 +22 (Expand bracket)
5y= -42y +141 (Simplify)
42y +5y= 141 (+42y on both sides)
47y= 141
y= 141 ÷47 (÷47 on both sides)
y= 3
Substitute y= 3 into (2):
x= -6(3) +17
x= -18 +17
x= -1
Thus, the solution is (-1, 3).
1. What do you mean by a polygon method. 2. Derive the cosine law \& sine law.
This law can be used to find the unknown side of a triangle given the ratio of two sides and the angle opposite one of them.
A polygon is a closed two-dimensional figure that has three or more straight sides. A polygon method is a method of determining an unknown angle or side in a triangle using trigonometric ratios. The cosine law, also known as the Law of Cosines, is used to determine the side lengths or angle measures in any triangle. It relates the length of each side of a triangle to the cosine of one of its angles. The law of cosines states that
`a² = b² + c² − 2bc cos A` or
`b² = a² + c² − 2ac cos B` or
`c² = a² + b² − 2ab cos C`
where a, b, and c are the side lengths of the triangle, and A, B, and C are the angles opposite those sides.
In essence, this law is used to solve a triangle given one side and two angles, two sides and an included angle, or three sides. On the other hand, the sine law, also known as the Law of Sines, is used to solve triangles in which you know the ratio of the lengths of two sides and the measure of the angle opposite one of those sides.
The sine law states that `a/sin A = b/sin B = c/sin C`
where a, b, and c are the side lengths of the triangle, and A, B, and C are the angles opposite those sides.
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Mrs. Figueroa made a spaghetti dinner for the cheerleaders after practice. She purchased four and three fourths pounds of beef for $3.99 per pound. How much money did she spend on the beef for the spaghetti?
$7.25
$8.87
$9.98
$18.95
Answer:
$18.95
Step-by-step explanation:
Giving my all points away! What is the Value of log5512, when log 2 = 0.3010 and log 3 = 0.4771?
\(\\ \rm\Rrightarrow log_5512\)
\(\\ \rm\Rrightarrow log_52^9\)
\(\\ \rm\Rrightarrow 9log_52\)
Use change of base\(\\ \rm\Rrightarrow 9\dfrac{log2}{log5}\)
\(\\ \rm\Rrightarrow 3.876\)
If your question is something different let me know by which I can change my answer
Answer:
3.876 (3 d.p.)
Step-by-step explanation:
Given:
\(\log_{10}2=0.3010\)\(\log_{10}3=0.4771\)Please note: The question gives two values of log base 10 which should be used to help find the value of \(\log_5512\)
Log Law: Change of Base
\(\log_ba=\dfrac{\log_xa}{\log_xb}\)
Change the given expression to log base 10:
\(\implies \log_5512=\dfrac{\log_{10}512}{\log_{10}5}\)
Replace 512 with 2⁹, and 5 with 10/2:
\(\implies \dfrac{\log_{10}{2^9}}{\log_{10}\frac{10}{2}}\)
\(\textsf{Apply the Power Log law}: \quad \log_ax^n=n\log_ax\)
\(\implies \dfrac{9\log_{10}{2}}{\log_{10}\frac{10}{2}}\)
\(\textsf{Apply the Log Quotient law}: \quad \log_a\frac{x}{y}=\log_ax - \log_ay\)
\(\implies \dfrac{9\log_{10}{2}}{\log_{10}10-\log_{10}2}\)
\(\textsf{Apply log law}: \quad \log_aa=1\)
\(\implies \dfrac{9\log_{10}{2}}{1-\log_{10}2}\)
Given:
\(\log_{10}2=0.3010\)Substitute this into the expression and simplify:
\(\implies \dfrac{9(0.3010)}{1-0.3010}\)
\(\implies \dfrac{2.709}{0.699}\)
\(\implies 3.876\:(\sf 3\: d.p.)\)
baseball rules specify that a regulation ball shall weigh no less than 5.00 ounces nor more than 5.25 ounces. what are the acceptable limits, in grams, for a regulation ball?
According to baseball rules, a regulation ball must weigh between 142 and 149 grams. The acceptable weight limits, in grams, for a regulation ball are determined by the specified weight range in ounces.
Baseball rules specify that a regulation ball shall weigh no less than 5.00 ounces nor more than 5.25 ounces. To convert these limits to grams, you can use the conversion factor of 1 ounce = 28.3495 grams. The acceptable lower limit for a regulation ball is 5.00 ounces * 28.3495 = 141.7475 grams, and the upper limit is 5.25 ounces * 28.3495 = 148.83475 grams. Therefore, the acceptable limits, in grams, for a regulation baseball are approximately 141.75 grams to 148.83 grams. This weight range ensures that all baseballs used in games are consistent and fair for both teams. It is important for players, coaches, and umpires to adhere to these regulations in order to maintain the integrity of the game. Any ball that falls outside of the acceptable weight range should not be used in official games or practices.
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Divide. Simplify your answer. 2/x÷(x+5)/2x
please explain like you are teaching me
Answer:
the simplified form of the expression 2/x ÷ (x+5)/2x.
Step-by-step explanation:
To divide the expression 2/x ÷ (x+5)/2x, we can simplify the process by using the reciprocal (or flip) of the second fraction and then multiplying.
Let's break it down step by step:
Step 1: Flip the second fraction:
(x+5)/2x becomes 2x/(x+5).
Step 2: Multiply the fractions:
Now we have 2/x multiplied by 2x/(x+5).
To multiply fractions, we multiply the numerators together and the denominators together:
Numerator: 2 * 2x = 4x
Denominator: x * (x+5) = x^2 + 5x
So, the expression becomes 4x / (x^2 + 5x).
This is the simplified form of the expression 2/x ÷ (x+5)/2x.
Part A: A keypad lock asks you to input a four-digit code. If you can choose any digit, 0 through 9, for each of the four digits, how many possible combinations are there? Part B: Suppose the similar keypad lock asks for a four-digit code but does not allow you to repeat a digit. How many possible combinations are there for this lock?
Answer:
A. 10,000 combinations
B. 5,040 combinations
Step-by-step explanation:
A. four-digit code from 0-9 without restriction
1st digit - 10 options
2nd digit - 10 options
3rd digit - 10 options
4th digit - 10 options
Number of possible options = 10 * 10 * 10 * 10 = 10^4 = 10,000 combinations
b. No repetition of digits
1st digit = 10 options
2nd digit = 9 options
3rd digit = 8 options
4th digit = 7 options
Number of possible choices = 10 * 9 * 8 * 7 = 5,040 combinations
t-test is used when you have two samples or data coming from 2 groups, and you want to compare whether or not they're distinct (in other words, is the data coming from 2 separate populations, or not?)
The result is the t-statistic, which is used to compare the two samples.
The t-test is used to compare the means of two independent samples. The formula for the t-test is:
\(t = (x1 - x2) / √[s2/n1 + s2/n2]\),
where x1 is the mean of the first sample, x2 is the mean of the second sample, s2 is the variance of the two samples, and n1 and n2 are the sizes of each sample.
To calculate the t-test, first you need to calculate the mean for each sample. If the sample size is small (less than 30), then you should use the sample standard deviation.
Next, calculate the variance for each sample by taking the sum of the squared differences from the mean, and dividing by n-1 (where n is the sample size).
Finally, calculate the t-test statistic by substituting the means and variances into the formula above. The result is the t-statistic, which is used to compare the two samples.
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can you help? thank youu
Answer:
13 in.
Step-by-step explanation:
perimeter of triangle = 3 1/3+5 1/2 + 4 1/6
=10/3+11/2+25/6
=20/6+33/6+25/6
=(20+33+25)/6
=78/6
=13 inch.
Find the distance between (-2,5) and (4,3).
I need the answers not just a link
Answer:
6.3246
or 6.3 if you are rounding
Step-by-step explanation:
Use the number line to answer the following
1.How many groups of 7/4 are in 1
2. 3 divided by 7/4
There are 4/7 groups of 7/4 in 1 and 3 divided by 7/4 is 12/7
How to evaluate the expressions1. How many groups of 7/4 are in 1
Here, we have:
Groups = 7/4
Entity = 1
The number of groups is calculated as:
Number =Entity/Groups
So, we have
Number = 1/(7/4)
Evaluate
Number = 4/7
Hence, there are 4/7 groups of 7/4 in 1
2. 3 divided by 7/4
Here, we have:
Divisor = 7/4
Dividend = 3
The quotient is calculated as:
Quotient = Dividend/Divisor
So, we have:
Quotient =3/(7/4)
Evaluate
Quotient = 12/7
Hence, 3 divided by 7/4 is 12/7
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For the following time series, you are given the moving average forecast.
Time Period Time Series Value
1 23
2 17
3 17
4 26
5 11
6 23
7 17
Use a three period moving average to compute the mean squared error equals
Which one is correct out of these multiple choices?
a.) 164
b.) 0
c.) 6
d.) 41
The mean squared error equals to c.) 6.
What is the value of the mean squared error?The mean squared error is a measure of the accuracy of a forecast model, indicating the average squared difference between the forecasted values and the actual values in a time series. In this case, a three-period moving average forecast is used.
To compute the mean squared error, we need to calculate the squared difference between each forecasted value and the corresponding actual value, and then take the average of these squared differences.
Using the given time series values and the three-period moving average forecast, we can calculate the squared differences as follows:
(23 - 17)² = 36
(17 - 17)² = 0
(17 - 26)² = 81
(26 - 11)² = 225
(11 - 23)² = 144
(23 - 17)² = 36
(17 - 17)² = 0
Taking the average of these squared differences, we get:
(36 + 0 + 81 + 225 + 144 + 36 + 0) / 7 = 522 / 7 ≈ 74.57
Therefore, the mean squared error is approximately 74.57.
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In 1994, an outbreak of illness due to ice cream contaminated with the bacteria salmonella occurred in the United States. The outbreak affected an estimated 224,000 people. If the total population in the U.S. at that time was 260,000,000, which is the best estimate for the percentage of people who were affected?
According to the question, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.
To estimate the percentage of people affected by the outbreak, we can use the following formula:
\(\[\text{Percentage} = \left(\frac{\text{Affected}}{\text{Total population}}\right) \times 100\]\)
Given that the number of affected people is 224,000 and the total population is 260,000,000, we can substitute these values into the formula:
\(\[\text{Percentage} = \left(\frac{224,000}{260,000,000}\right) \times 100\]\)
Calculating this expression, we find:
\(\[\text{Percentage} \approx 0.086 \%\]\)
Therefore, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.
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what is the unit of measurement for coding the length of lacerations? a. square inches b. inches c. square centimeters d. centimeters
The unit of measurement for coding the length of lacerations d)centimeters.
Centimeters are the most common unit of measurement used to code the length of lacerations. This is because they are a small enough unit of measurement that they can accurately describe even the smallest of lacerations.
Centimeters are also the most commonly used metric unit of length, making them the most useful when coding lacerations for medical records. In addition, centimeters are a more precise unit of measurement than inches and are accepted internationally as a unit of measurement, making them the best choice when coding lacerations.
Finally, centimeters are consistent units of measurement, making it easy to compare laceration lengths between different patients and different medical records.
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the distance Beya must run in PE class is 203 yards and 3 feet what is the distance in
inches
You have a bag of poker chips, containing 2 white, 1 red, and 3 blue chips. White chips are worth $1, red chips are worth $3 and blue chips are worth $5. You need $7 worth of chips in order to see someone’s raise, so you take chips out of the bag one at a time, noting the color of each one as it’s removed, and stop when the total value of the chips removed is at least $7. How many sequences of chip colors are possible when you do this?
There are 144 possible sequences of chip colors.
How many sequences of chip colors are possibleWe can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.
Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:
If the first chip is a white chip, then we need to draw chips worth $6 more in order to reach $7. We can draw any combination of the remaining 5 chips to get a total value of $6 or more. There are 2 white, 1 red, and 3 blue chips remaining, so there are 2^5 = 32 possible combinations.If the first chip is a red chip, then we need to draw chips worth $4 more in order to reach $7. We can draw any combination of the remaining 5 chips to get a total value of $4 or more. There are 2 white, 1 red, and 3 blue chips remaining, so there are 2^5 = 32 possible combinations.If the first chip is a blue chip, then we need to draw chips worth $2 more in order to reach $7. We can draw any combination of the remaining 5 chips to get a total value of $2 or more. There are 2 white, 1 red, and 2 blue chips remaining, so there are 2^4 = 16 possible combinations.Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144
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Find the equation of the line that has a slope of — 2 and passes
through the point (-2,2). Write the equation in point-slope
form.
Answer:
y - 2 = -2(x +2)
Step-by-step explanation:
y - 2 = -2(x +2)
A line passes through the points (−4, 50) and (5, −31). What is the equation of the line in slope-intercept form?
Answer:
y = - 9x + 14
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 4, 50 ) and (x₂, y₂ ) = (5, - 31 )
m = \(\frac{-31-50}{5-(-4)}\) = \(\frac{-81}{5+4}\) = \(\frac{-81}{9}\) = - 9 , then
y = - 9x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (5, - 31 )
- 31 = - 9(5) + c = - 45 + c ( add 45 to both sides )
14 = c
y = - 9x + 14 ← equation of line
Write the inverse of the given relation.
y=x/2+5
Answer: f^−1(x)=2x−10
Explanation: switch the x and y to get:
x = y/2 + 5
Then isolate y by multiplying 2 on both sides and moving 10:
2x = y + 10
- 10 -10
2x -10 = y