Answer: B. \(\dfrac1{45}\times5=\dfrac19\)
Step-by-step explanation:
We know that,
\(\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}\)
Then, \(\dfrac19\div 5\) \(=\dfrac19\times\dfrac15\)
\(=\dfrac1{45}\)
i.e.
\(\dfrac19\div 5=\dfrac{1}{45}\\\\\Rightarrow\ \dfrac1{45}\times5=\dfrac19 \ \ \ \text{[Multiply 5 on both sides]}\)
Therefore, the multiplication equation is related to the division equation \(\dfrac1{45}\times5=\dfrac19\)
Hence, the correct option is B. \(\dfrac1{45}\times5=\dfrac19\)
Ethan is responsible to write the minutes for the meeting. During the meeting, he finished writing of the minutes. Before getting off work, he finished another of the minutes. How much of the minutes does Ethan still need to work on?
Simplify the attached question
Answer:
12x²
Step-by-step explanation:
Check the attachment for steps.
Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm
Answer:
144cm^2
Step-by-step explanation:
0.5x8x6x2=48cm^2
8x4=32cm^2
10x4=40cm^2
6x4=24cm^2
=(48+32+40+24)cm^2
=144cm^2
7 The time in minutes (7) taken to cook a joint of beef is given by T-35w +25,
where w is the weight of the joint in kg.
a) How long would it take to cook a 1.5 kg joint?
b) Make w the subject of the formula.
c) What weight of beef needs to be cooked for 207 minutes?
d) What weight of beef needs to be cooked for 3 hours and 48 minutes?
1:11
In conclusion for part A it would take T - 32.5 minutes to cook a 1.5 kg joint. For part B w is given by the formula w = (T - 25) / (-35). For part C 6.6 kg of beef needs to be cooked for 207 minutes. For part D 5.91 kg of beef needs to be cooked for 3 hours and 48 minutes.
How to solve?
a) To find how long it would take to cook a 1.5 kg joint, we can substitute w = 1.5 into the formula:
T - 35w + 25 = T - 35(1.5) + 25 = T - 32.5
So, it would take T - 32.5 minutes to cook a 1.5 kg joint.
b) To make w the subject of the formula, we need to isolate w on one side of the equation. We can start by subtracting 25 from both sides:
T - 35w = T - 25
Next, we can divide both sides by -35:
w = (T - 25) / (-35)
Therefore, w is given by the formula w = (T - 25) / (-35).
c) To find the weight of beef that needs to be cooked for 207 minutes, we can substitute T = 207 into the original formula:
T - 35w + 25 = 207
Simplifying this equation, we get:
-35w = -232
Dividing both sides by -35, we get:
w = 6.6 kg
Therefore, 6.6 kg of beef needs to be cooked for 207 minutes.
d) To find the weight of beef that needs to be cooked for 3 hours and 48 minutes (which is equivalent to 3 × 60 + 48 = 228 minutes), we can substitute T = 228 into the original formula:
T - 35w + 25 = 228
Simplifying this equation, we get:
-35w = -207
Dividing both sides by -35, we get:
w = 5.91 kg
Therefore, 5.91 kg of beef needs to be cooked for 3 hours and 48 minutes.
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The question that needs to be answered is beloww
v
Dance class has 22 students; 10 are women and 12 are men. if5 men and 5 women are tobe chosen and then paired off, how many results are possible?
A total of 23, 950, 080 results are possible.
We are given;
10 women
12 men
5 men and 5 women, chosen and pared off, how many results in total?
Thus;
[10 choose 5] x [12 choose 5]=252 x 792 = 199584 ways
We then need to know how many ways there could put into pairs i.e. For the first woman, there will be 5 choices of men. For the second woman, there will be 4 choices remaining of men. For the third woman, there will be 3 choices remaining. For the fourth woman, there will be only 2choices remaining, and only 1 choice left for the last woman.
Therefore, there are 5x4x3x2x1 = 120 ways.
In total there are 199584x120 = 23950080 total ways
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What is the area of the rectangle, in square feet? A rectangle with length 20 feet and width 9 feet.
20x9= 180
area= 180^2
writingtogeto20characters
select the correct answer. a building has a triangular rooftop terrace which is modeled by triangle . in triangle , the measure of is , the measure of is , and the measure of is . which side of the terrace has the greatest length? a. cannot be determined b. c. d.
However, without specific measurements for the angles or sides of the triangle, we cannot determine the lengths of the sides or identify which side is the longest. Therefore, the answer is (a) "cannot be determined."
To determine which side of the triangular rooftop terrace has the greatest length, we need to examine the given information. The lengths of the sides of a triangle are dependent on the measures of the angles and the relative proportions between the sides.
Without knowing any specific values for the angles or sides, we cannot compare or determine the lengths of the sides accurately. Additional information is needed to identify which side has the greatest length.
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Answer:
cannot be determined
Step-by-step explanation:
The probability that a person cannot read is 0.85 what is the probability that 2 people selected at random will be unable to read
Answer: 0.7225
Step-by-step explanation:
Since the probability that a person cannot read is 0.85. The probability that 2 people selected at random will be unable to read will be gotten by multiplying the value of the probability given twice. This will be
= P(not read) × P(not read)
= 0.85 × 0.85
= 0.7225
Therefore, the probability that 2 people selected at random will be unable to read is 0.7225
iven a Cobb Douglas production function, \( q=L^{0.45} K^{0.55} \), determine the Marginal Rate of Technical ubstitution.
Therefore, the Marginal Rate of Technical Substitution (MRTS) in this Cobb Douglas production function is (0.45/0.55) * (L/K), or approximately 0.818 * (L/K).
To determine the Marginal Rate of Technical Substitution (MRTS) in a Cobb Douglas production function, we need to calculate the ratio of the marginal product of labor (MP_L) to the marginal product of capital (MP_K). In this case, the MRTS can be calculated as MRTS = MP_L / MP_K, where MP_L is the partial derivative of the production function with respect to labor (L) and MP_K is the partial derivative of the production function with respect to capital (K).
Taking the partial derivatives of the Cobb Douglas production function, we have:
MP_L = 0.45 * L^(-0.55) * K^0.55
MP_K = 0.55 * L^0.45 * K^(-0.45)
Now we can calculate the MRTS:
MRTS = MP_L / MP_K
= (0.45 * L^(-0.55) * K^0.55) / (0.55 * L^0.45 * K^(-0.45))
= 0.45/0.55 * (L^(-0.55) * L^0.45) * (K^0.55 * K^(-0.45))
= (0.45/0.55) * (L/K)
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x cubed minus 2 x squared minus 11 x + 12 = x cubed minus 13 x minus 12 what are the roots
Answer:
x = 3, x = 4
Step-by-step explanation:
Given
x³ - 2x² - 11x + 12 = x³ - 13x - 12
Subtract x³ - 13x - 12 from both sides
- 2x² + 2x + 24 = 0 ← in standard form ( divide all terms by - 2 )
x² - x - 12 = 0
(x - 4)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 3 = 0 ⇒ x = 3
Question 2
At how many values of a(0° < a < 360°) does pentagon A'B'C'DE' coincide with pentagon ABCDE? What is significant about this
number?
Answer: each time the pentagon is rotated 72, it maps back onto itself. There are five values of a for which the pentagon maps back onto itself. this is the same as the number of sides of the pentagon.
Step-by-step explanation: edmentum
A regular pentagon has 5 congruent sides and a measure of 360 degrees, at its center.
Pentagon ABCDE and A'B'C'D'E coincide at 4 values of (a)
The angle where pentagon ABCDE and pentagon A'B'C'D'E coincide is:
\(\mathbf{\theta = \frac{360}{5}}\)
\(\mathbf{\theta = 72}\)
Other angles between 0 and 360 degrees, where pentagon ABCDE and pentagon A'B'C'D'E coincide are multiples of 72.
So, we have:
\(\mathbf{a = 72^o,\ 144^o,\ 216^o,\ 288^o}\)
The count of angles is 4
Hence, pentagon ABCDE and A'B'C'D'E coincide at 4 values of (a)
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Lucy is knitting a blanket and needs to buy some more yarn. At her local craft store, 2 skeins of yarn cost 57 and 8 skeins of yarn cost $28. What is the constant of
proportionality in this direct variation?
a. 7/2
b. 2/7
c. 7
d. 2
Answer: it’s A 7/2 i just took this
Step-by-step explanation:
9000km to m = 15,000 m to km80mm to dm
For every 1 km = there are 1,000 meters. Therefore:
\(9,000\operatorname{km}\times\frac{1,000m}{1\operatorname{km}}=9,000,000m\)15,000 m to km is:
\(15,000m\times\frac{1\operatorname{km}}{1,000m}=\frac{15000}{1000}=15\operatorname{km}\)For every 1 decimeter, there are 100 millimeters.
\(80\operatorname{mm}\times\frac{1dm}{100\operatorname{mm}}=\frac{80}{100}=0.8dm\)Is (-4,-6) a solution?
2x + 3y <-9
x - 2y 2 - 4
(-4, -6)
i don't know
Step-by-step explanation:
what is the greatest common factor of 24, 56, and 36?
Answer: 4
Step-by-step explanation:
Graphing Sine and Cosine Functions (Will give brainliest)
Answer:
\(\huge\boxed{C.}\)
\(\huge\boxed{x-intercept=\dfrac{1}{2}(\pi)=\left(\dfrac{\pi}{2}, \pi\ \dfrac{3\pi}{2},\ 2\pi\right)}\)
Step-by-step explanation:
x-intercept of y = f(x) → y = 0.
\(y=\sin2x\\\\y=0\Rightarrow\sin2x=0\Rightarrow 2x=k\pi\qquad|\text{divide both sides by 2}\\\\x=\dfrac{k\pi}{2},\ k\in\mathbb{Z}\)
code that Calculate what weekday it is calcWeekday day(int), input= month(str), output= weekday (str) Returns the weekday of the date year (int) (Week starts on Sunday)
The formula for determining the weekday given a date is [2]: w = (day + b2.6m − 0.2c − 2(cm − 1) + y + by/4c + b(cm − 1)/4c)mod7
where w is the inumeric value for the "weekday" (0=Sun,... ,6=Sat), d is the day, m is the "month", y is the year, and cm is the modified "century" (cm = c -1) applied only when the year is a new century (1800, 1900, 2000, 2100) and the month is either January or February (otherwise cm = c). The mnemonic to determine the number of days in a month is [3]:
To calculate the weekday without code, use the formula: w = (day + int(2.6 * \(month_num\) - 0.2 * century - 2 * (cm - 1) + year + year // 4 + cm // 4)) % 7. Convert the numeric weekday value (0-6) to the weekday name (Sunday-Saturday). For example, July 1, 2023, is a Saturday.
Without writing any code, you can perform the following steps to determine the weekday:
1. Determine the modified century (cm):
- Divide the year by 100 to get the century.
- If the month is either January or February and the century is divisible by 4, subtract 1 from the century. Otherwise, use the original century.
2. Convert the month name to the corresponding month number:
- Assign a number to each month: January = 1, February = 2, March = 3, and so on.
3. Calculate the weekday using the formula:
- Use the formula: w = (day + int(2.6 * \(month_num\) - 0.2 * century - 2 * (cm - 1) + year + year // 4 + cm // 4)) % 7.
- Here, w is the numeric value for the weekday, ranging from 0 (Sunday) to 6 (Saturday).
4. Convert the weekday number to the weekday name:
- Assign a name to each weekday: 0 = Sunday, 1 = Monday, 2 = Tuesday, and so on.
For example, let's find the weekday of July 1, 2023:
1. Determine the modified century:
- Year = 2023, Century = 20, cm = 20 - 1 = 19.
2. Convert the month name to the month number:
- July corresponds to month number 7.
3. Calculate the weekday using the formula:
- w = (1 + int(2.6 * 7 - 0.2 * 20 - 2 * (19 - 1) + 2023 + 2023 // 4 + 19 // 4)) % 7
- w = (1 + int(18.2 - 4 - 36 + 2023 + 505 + 4)) % 7
- w = (1 + int(2512.2)) % 7
- w = 1 + 2512 % 7
- w = 1 + 5
- w = 6
4. Convert the weekday number to the weekday name:
- The weekday is Saturday.
Therefore, July 1, 2023, falls on a Saturday.
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huduko incorporated offers a number of computer services. one server handles its own web page. it receives requests for web pages at the rate of 79 per second. the standard deviation of these interarrival times is 0.02 second. what is the coefficient of variation of the interarrival times for this server?
Using the standard deviation value of these interarrival times, the coefficient of variation is 0.012.
What do you mean by Standard Deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
What is Coefficient of variation and formula to calculate it?The standard deviation to mean ratio, or coefficient of variation (CV), illustrates the degree of variability in proportion to the population mean. The dispersion increases with increasing CV.
Formula is given by:
\(CV = \frac {\sigma}{\mu}\)
\(\sigma = 0.02\)
Mean for the time of 0.02 sec is = 79 * 0.02
=1.58
CV= 0.02/1.58
=0.012
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Using the digits 1 to 9. at most one time each place a digit in each box to make a true statement
Answer:
8 / 20 = 0.4
Step-by-step explanation:
it fits the criteria, don't it?
PLEASE HELP SUPER FAST AND ILL GIVE BRAINLEST
Describe in words a sequence of transformations that maps ∆ABC to ∆A''B''C''.
Write an ordered-pair rule for each transformation in the sequence.
Transformations that maps ∆ABC to ∆A''B''C'' is \(A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)\)
What is coordinate plane ?A coordinate plane is a two-dimensional surface made up of two number lines. It is produced when a horizontal line crosses the origin, which is the location where the X-axes and Y-axes meet. The numbers on a coordinate grid are used to find points. Using a coordinate plane, you may graph points, lines, and many other things. It functions as a map and gives precise driving instructions between two spots.
Reflection about x - axes (x,y)→(x,-y)
Reflection about y - axes (x,-y)→(-x,-y)
combined reflection is reflection about origin.
\(A^{'}(5,-3) \\B^{'}(2,-3)\\\)
\(C^{'}(4,-1)\)
Shift upward by 1 unit and on right hand side by 3 units
(x,y)→(x+3;y+1)
=\(A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)\)
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5 consecutive odd number between 40 and 60
Answer:
47 49 51 53 55
Step-by-step explanation:
Consecutive: following one another in uninterrupted succession or order; successive: six consecutive numbers, such as 5, 6, 7, 8, 9, 10. marked by logical sequence. Grammar. expressing consequence or result: a consecutive clause.
Odd number between 40 and 60: 41, 43, 45, 47, 49, 51, 53, 55, 57, 59
Answer:
The answer is 41, 43, 47, 49 and 51
How to calculate the volume of a rectangle prism?
Answer: The formula to calculate the volume of a rectangular prism is:
Volume = length x width x height
Where:
"length" is the distance along the longest side of the prism.
"width" is the distance along the side of the prism perpendicular to the length.
"height" is the distance perpendicular to both the length and width.
So, to calculate the volume of a rectangular prism, you need to know the length, width, and height, then plug those values into the formula and perform the calculation.
For example, let's say you have a rectangular prism with a length of 10 cm, a width of 5 cm, and a height of 2 cm. The calculation would be:
Volume = length x width x height = 10 x 5 x 2 = 100 cm^3
So, the volume of the rectangular prism is 100 cubic centimeters.
Step-by-step explanation:
Please help grades due tomorrow. Thanks to anyone
Answer:
57
Step-by-step explanation:
the two supplementary angles are 57, and 123
The bisector of an angle of a triangle divides the opposite side of the triangle into segments that are 18 in. and 24 in. long. Another side of the triangle is 40 in. long. What are the two possible side lengths for the third side? Enter one of your answers as a mixed number. Two possible side lengths for the third side are In, and
Answer:
45 is the answer
Step-by-step explanation: 45 it is
a restaurant manager collected data to predict monthly sales for the restaurant from monthly advertising expenses. the model created from the data showed that 36 percent of the variation in monthly sales could be explained by monthly advertising expenses. what was the value of the correlation coefficient? responses 0.64 0.64 0.60 0.60 0.40 0.40 0.36 0.36 0.13
The value of the correlation coefficient is 0.60.
There is a 0.6 correlation coefficient between two variables, which measures the strength of the relationship.
R² is the coefficient of determination, which measures how much variation can be explained by the regression line.
This means that, the R² value of the data is 36%
R² = 36% = 0.36
Correlation coefficients measure the strength of relationships between variables in the form of square roots.
That is ; R = √R²
R = √0.36
Hence, the correlation Coefficient, R is 0.60
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The characteristic polynomial of the matrix =⎡⎣⎢⎢⎢⎢0−1000−100−43−33−32−22⎤⎦⎥⎥⎥⎥A=[00−4−3−1−13200−3−20032]
is p()=p(λ)= (+1)22(λ+1)2λ2
The matrix has two real eigenvalues 1<2λ1<λ2.
(a) Find these eigenvalues, their algebraic multiplicities (AM) , and dimensions of the corresponding eigenspaces (GM).
1=λ1= has algebraic multiplicity (AM) 2 . The dimension of the corresponding eigenspace (GM) is 2 .
2=λ2= 0 has algebraic multiplicity (AM) 2 . The dimension of the corresponding eigenspace (GM) is 1 .
(b) Is the matrix A defective?
Answer:
Step-by-step explanation:
Write the expression for this problem:
The pizza place sold 1 pizza for 8$ and it costs 0,25$ per garnish.
Answer:
8 + 0.25g
Step-by-step explanation:
(g is the variable for garnish)
Can anyone help me please will mark branliest if right
Answer:
Domain should be [-4, 5] if that is what the second x variable is.
Range should be [3, -5]
yes with brackets because it is closed
Step-by-step explanation:
what is the approximate ratio of areas for gne-a to gne-b when the gne-a concentration is 18 micrograms/ml?
The approximate ratio is 52 to 18 micrograms/ml.
Step 1:
This is a general question in which we need to analyze only the graph.
Regression of the calibration curve of GNE-A in mouse plasma is given.
Step 2:
In the given data, the ratio of area of GNE-A to GNE-B is taken in y axis and GNE - A concentration is taken in x axis. From the graph, it is clear that the concentration of GNE-A corresponding to the GNE-A to GNE-B ratio 52 is 18.
The approximate ratio of areas for gne-a to gne-b when the gne-a concentration is 18 micrograms/ml is 52 : 18.
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