Answer:
a) 96/16÷6
b) 31.25/ (2.5)^2=5
c) = V/ pi r^2
Find the value of tan θ for the angle shown. (2 points)a) tan θ = negative square root of thirty-three divided by fourb) tan θ = negative four times square root of thirty-three divided by thirty-threec) tan θ = negative four-seventhsd) tan θ = negative square root of thirty-three divided by seven
The value of tan θ for the given angle is option (b): tan θ = negative four times square root of thirty-three divided by thirty-three.
To determine the value of tan θ, we need to evaluate the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
By examining the options, we can see that option (b) matches this criteria: tan θ = negative four times square root of thirty-three divided by thirty-three.
The negative sign indicates that the angle is in the third quadrant or the second quadrant, where the tangent function is negative.
The square root of thirty-three represents the length of the side opposite the angle, and the denominator, thirty-three, represents the length of the side adjacent to the angle.
Therefore, the correct answer is option (b): tan θ = negative four times square root of thirty-three divided by thirty-three.
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Each side of the triangle is represented by an expression. Find the value of x is the triangle has a perimeter of 73.
Answer:
Step-by-step explanation:
The answer is 27
The value of x is 4.
What is the perimeter of a triangle?The perimeter of a polygon is the total length of the boundary. For a triangle, we can find it by adding the lengths of its three sides. We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle.
The triangle has a perimeter of 73.
\(7x-2+3x+9+8x-6=73\\18x+1=73\\18x=72\\x=4\)
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Mark was thinking of a number. Mark doubles it, then adds 11 to get an answer of 52.6. What was the original number?
Answer:
20.8
Step-by-step explanation:
The first step you need to do is to subtract 11:
52.6 - 11 = 41.6
The second step is to divide it by 2:
41.6 / 2 = 20.8
Mark was thinking of 20.8
Answer:
the original number is 20.8
Step-by-step explanation:
because 2x + 11 = 52.6
2x = 41.6 -->x = 20.8
Complete the vector to fully describe the single transformation which takes shape A to shape B
Answer:
Translate (5,0)
Translate (0,4)
Step-by-step explanation:
Translate to the right five spaces, then translate downward four spaces
If your heart beats an average of 120 times per minute during a distance race, how many times would your heart beat during a race of 12 hours?
Answer:
I think the answer you're looking for is 86400
Step-by-step explanation:
rsti is a parallelogram. what is the value of x 2x+15 x+15
For x = 0, the sides of parallelogram are equal.
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
There are six crucial parallelogram characteristics to be aware of:
Congruent sides are those when AB = DC.
Congruent opposite angels are D = B.
(A + D = 180°) Consecutive angles are supplementary.
All angles are correct if just one of them is.
A parallelogram's diagonals cut each other in half.
A parallelogram is a four-sided, two-dimensional form in geometry. This particular quadrilateral example has equal and parallel opposite sides.
As the sides of parallelogram are parallel and equal,
2x + 15 = x + 15
2x = x
x = 0
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What is the answer to 7.5x0.4
the expression is:
\(7.5\cdot0.4\)this is equal to:
\(7.5\cdot0.4=3\)Help! (Solving quadratic equations by factoring)
m(m-3)=0
Answer:
m=0 and m=3
Step-by-step explanation:
there are two solutions
Find the value of x in each case:
Please help me
It's an easy 40 points if you answer this
Answer:
x = 45
Step-by-step explanation:
The angles labeled with the pink x are the same. Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.
We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180
x+x+ 2x = 180
4x= 180
4x/4 = 180/4
x = 45
Look at the equations below. Find a pair of equations whose lines are perpendicular.
The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3
Find a pair of equations whose lines are perpendicular.from the question, we have the following parameters that can be used in our computation:
The pair of equations
By definition;
The slopes of perpendicular lines are opposite reciporcals
So, we have
(a) -1/3 and -3 false
(b) -3 and -6 false
(c) 3 and 3 false
(d) 1/6 and -6 true
Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3
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16789047+65390-49532578=?
Answer:
-32678141
Step-by-step explanation:
pyriamid a square base that measures 140 m on each side. the height is 91 m. what is the volume of the pyramid?
The volume of the pyramid is approximately 574,533.33 cubic meters.
To find the volume of a pyramid, you use the formula: V = (1/3) × base area × height, where B is the area of the base and h is the height of the pyramid.
Given that the side length of the square base is 140 m and the height is 91 m.
Since the base of the pyramid is a square with a side length of 140 m, we can find its area by multiplying the side lengths: B = 140m x 140m = 19,600 square meters.
By calculating this expression, you'll find the volume of the pyramid.
Now we can plug in the values for B and h into the formula: V = (1/3)(19,600 square meters)(91 meters) = 574,533.33 cubic meters.
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ted directions. 1. how many ways can six of the letters of the word algorithm be selected and written in a row if the first letter must be a.
There are 4,320 ways to select six of the letters of the word algorithm and write them in a row if the first letter must be "a".
There are 7 letters in the word "algorithm", and we need to select 6 of them and arrange them in a row such that the first letter is "a". We can first choose the remaining 5 letters from the remaining 6 letters (excluding "a") in 6 choose 5 ways
⁶C₅ = 6!/5! = 6
Once we have chosen the 5 letters, we can arrange the 6 selected letters (including "a") in a row in 6! ways. Therefore, the total number of ways to select 6 letters and arrange them in a row with the first letter being "a" is
⁶C₅ × 6! = 6 × 720 = 4,320
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Find the slope of the line passing through the points (-3, 7) and (2, -6).
Answer:
-13/5
Step-by-step explanation:
=y2-y1/x2-x1
= -6-7/2--3
= -13/5
QUESTION 3 of 10: Last year you paid $20 for a yard of silk. This year, it will cost you $25 a yard. What is the percentage increase?
a) 12%
b) 20%
C) 25%
d) 33%
Answer: C) 25%
Step-by-step explanation:
The inductive step of an inductive proof shows that for k≥4 , if 2k≥3k , then 2^k+1≥3(k+1). In which step of the proof is the inductive hypothesis used? 2^k+1≥2⋅2^k (Step 1) ≥2⋅3k (Step 2) ≥3k+3k (Step 3) ≥3k+3 (Step 4) ≥3(k+1) (Step 5) A) Step 1 B) Step 4 C) Step 2 D) Step 3
The inductive hypothesis of the inductive step of an inductive proof for k≥4, if 2k≥3k, then 2^k+1≥3(k+1) is used in Step 4 of the proof.
The following is the solution to the problem.2^k+1≥2⋅2^k (Step 1)≥2⋅3k (Step 2)≥3k+3k (Step 3)≥3k+3 (Step 4)≥3(k+1) (Step 5)Therefore, the inductive hypothesis is used in step 4 of the proof. Step 4 demonstrates that the statement is correct for k+1.
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Brigid is picking strawberries at the Pick-Your-Own Farm. Her goal is to pick 5 bushels of strawberries. She has already picked 1
1
2
bushels, and she picks at a rate of
5
8
bushel per hour. The scenario is represented as
5
8
h + 1
1
2
= 5, where h is the number of hours she picks. How many more hours will it take Brigid to fill 5 bushels of strawberries?
2 and StartFraction 3 Over 16 EndFraction hours
2 and StartFraction 3 Over 16 EndFraction hours
5 and three-fifths hours
10 and two-fifths hours
Answer:
We can start by isolating the variable "h".
5 8 h + 1 1 2 = 5
Subtracting 11/2 from both sides:
5 8 h = 5 - 1 1 2
Simplifying:
5 8 h = 8 1 2
Dividing both sides by 5/8:
h = 8 1 2 ÷ 5 8
Converting the mixed number to an improper fraction:
h = (8 x 8 + 1) ÷ 5 8
h = 65/8
Now, we can convert this fraction to a mixed number:
h = 8 1/8
Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:
5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8
Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).
Step-by-step explanation:
Which of these statements is true?
Answer:
B
Step-by-step explanation:
because it is now choose the answer
Answer:
B
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
What is the main purpose of Business sustainability 2. Research and discuss the role of environmental management in sustainable business development 3. Discuss on the pillars of sustainability development 4. Research and discuss The Role of Stakeholder Analysis for Sustainable Development: Experiences from Rubber Cultivation in Southwest China
The main purpose of business sustainability is to achieve long-term success by balancing economic, social, and environmental concerns. It involves integrating sustainable practices into business strategies to create positive impacts on the environment, society, and stakeholders while ensuring profitability and resilience.
Environmental management plays a crucial role in sustainable business development. It involves identifying and managing environmental risks, implementing eco-friendly practices, reducing resource consumption, minimizing waste generation, and promoting environmental stewardship. By incorporating environmental management into their operations, businesses can enhance their sustainability performance, comply with regulations, improve brand reputation, and contribute to a healthier planet.
Stakeholder analysis plays a vital role in sustainable development, particularly in the context of specific industries or sectors. In the case of rubber cultivation in Southwest China, stakeholder analysis helps identify and understand the diverse stakeholders involved, such as rubber farmers, local communities, government agencies, environmental organizations, and consumers. By analyzing stakeholders' interests, concerns, and power dynamics, sustainable development initiatives can be tailored to address their needs effectively. Stakeholder engagement and collaboration are crucial for promoting sustainable practices, ensuring social acceptance, mitigating conflicts, and achieving sustainable outcomes in rubber cultivation and other industries.
Environmental management plays a vital role in sustainable business development. It involves assessing and managing environmental risks, implementing eco-friendly practices, complying with environmental regulations, and monitoring environmental performance. By adopting sustainable production processes, minimizing resource consumption, reducing emissions and waste generation, and promoting environmental stewardship, businesses can enhance their environmental performance. Effective environmental management not only benefits the environment but also leads to cost savings, improved efficiency, enhanced brand reputation, and reduced regulatory risks.
The pillars of sustainable development provide a framework for addressing the interconnectedness of economic, social, and environmental aspects. The economic pillar emphasizes the need for sustainable economic growth, productivity, and innovation while ensuring equitable distribution of resources. The social pillar highlights the importance of social well-being, equality, human rights, and inclusivity. The environmental pillar recognizes the significance of environmental conservation, resource efficiency, pollution prevention, and climate change mitigation. These pillars are interdependent, and progress in one pillar can influence the others. Sustainable development requires a balanced and integrated approach that considers all three dimensions.
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Solve the equation to find x.
4x +12 = 96
Answer:
x=21
Step-by-step explanation:
4x+12=96
subtract 12 from both sides
4x=84
divide both sides by 4
x=21
Answer:
x = 21
Step-by-step explanation:
to solve:
1. subtract 12 from both sides:
4x=12=96
-12 -12
2. This gives you 4x=84. Then divide both sides by 4:
\(\frac{4x}{4}\)\(=\frac{84}{4}\)
4x/4 = x
84/4 = 21
So, you get x = 21
Please help meeee !!!.
Answer: 5
1 x 5 = 5
2 x 5 = 10
Evaluate each function. h(a)= |-3a|; Find h(-9)
Answer:
h(-9)=27
Step-by-step explanation:
find the absolute value of |-3(-9)|, simplifies to |27|, which is just 27. hope it helps
A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary. A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is twotailed, separate the values with a comma. Round your answer to three decimal places. A bolt manufacturer is very concerned about the consistency with which his machines produce boits. The bolts should be 0.2 centimeters in diameter. The variance of the boits should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level?
To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).
Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.
Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).
If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.
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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).
Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.
Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).
If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.
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-1/2x ≤ 17 what is the answer
Answer:go on quizlet and it will help you out step by step
Step-by-step explanation:
Graph the line going through (-6,1) with a slope of -2/3.
A graph of the line going through the point (-6, 1) with a slope of -2/3 is shown in the image below.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.At data point (-6, 1) and a slope of -2/3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 1 = -2/3(x + 6)
y = -2x/3 - 4 + 1
y = -2x/3 - 3
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A normal population has a mean of 21 and a standard deviation of 6. Use Appendix B.3. a. Compute the z value associated with 24. (Round your answer to 2 decimal places
In statistics, the "z-score" is used to determine how far away from the mean a data point is. It indicates how many standard deviations the data point is from the mean.
The formula for calculating the z-score is given below:
z = (x - μ) / σ
where: x = data point
μ = population mean
σ = population standard deviation
Given a normal population with a mean of 21 and a standard deviation of 6, we can compute the z-score associated with 24 as follows:
z = (x - μ) / σz = (24 - 21) / 6z = 0.50
To compute the z-value associated with 24, we use Appendix B.3 which gives the area under the normal distribution curve for different z-scores.
Looking at Appendix B.3, we find that the area to the left of z = 0.50 is 0.6915 (rounded to 4 decimal places). Therefore, the z value associated with 24 is 0.50.
Note: The answer has been provided in less than 100 words, but the computation involved has been thoroughly explained.
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in the figure, triangle RED is similar to triangle RSF what is the value of x, the length of side RS
Since the triangles are similar thie means that:
\(\frac{8}{x}=\frac{12}{21}\)Solving for x we have:
\(\begin{gathered} \frac{8}{x}=\frac{12}{21} \\ 8=\frac{12}{21}x \\ x=\frac{8}{\frac{12}{21}} \\ x=\frac{21\cdot8}{12} \\ x=\frac{168}{12} \\ x=14 \end{gathered}\)Therefore x=14
Wrote a real world situation that could be modeled by the equation. Then solve for the unknown in the situation
3+ 2/3x= 5/6x-7/8
A real-world situation that could be modeled by the equation 3 + (2/3)x = (5/6)x - (7/8) is a scenario where a person has an initial amount of money and they spend a certain portion of it on expenses. Therefore, in this real-world situation, the unknown value x represents the initial amount of money the person had, and it is equal to 23.25.
Let's solve the equation step by step. To begin, we can simplify the equation by combining like terms. Adding (7/8) to both sides gives us:
3 + (2/3)x + (7/8) = (5/6)x
To eliminate the fractions, we can find a common denominator. The least common multiple of 3, 3, 2, 6, and 8 is 24. Multiplying both sides of the equation by 24 gives us:
24(3) + 24(2/3)x + 24(7/8) = 24(5/6)x
Simplifying further:
72 + 16x + 21 = 20x
Next, we can combine the like terms:
16x - 20x = -72 - 21
-4x = -93
Finally, we isolate x by dividing both sides of the equation by -4:
x = (-93) / (-4)
Simplifying the division gives us:
x = 23.25
Therefore, in this real-world situation, the unknown value x represents the initial amount of money the person had, and it is equal to 23.25.
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Use polar coordinates to find the volume of the given solid.
Enclosed by the hyperboloid −x2 − y2 + z2 = 6 and the plane z = 3
-x2 - y2 + 9 = 6 >>> x2 + y2= 3 so r2 = 3 >>> squart 0<=r <=3
My question is that why negative square root of 3 is not included in the range???
In polar coordinates, the radial distance "r" is defined as the distance from the origin to a point in the plane. Since distance cannot be negative, we only consider the positive square root of 3 in the range for this problem. So, the correct range for "r" is 0 ≤ r ≤ √3, and negative square root of 3 is not included because it doesn't represent a valid distance in polar coordinates.
To find the volume of the given solid enclosed by the hyperboloid −x2 − y2 + z2 = 6 and the plane z = 3 using polar coordinates, we need to express the equation of the hyperboloid in terms of polar coordinates.
Substituting x = rcosθ and y = rsinθ, we get:
−r2cos2θ − r2sin2θ + z2 = 6
Simplifying, we get:
z2 = 6 - r2
Since the plane z = 3 intersects the hyperboloid, we have:
3 = √(6 - r2)
Solving for r, we get:
r = √3
Hence, the range for r is 0 ≤ r ≤ √3.
In summary, the negative square root of 3 is not included in the range of r because r represents a distance and cannot be negative. The volume of the solid can be found by integrating the function f(r,θ) = √(6 - r2) over the range 0 ≤ r ≤ √3 and 0 ≤ θ ≤ 2π using polar coordinates. The result will be in cubic units and can be obtained by evaluating the integral.
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What is monomial representations and symmetric presentations?
Answer: A monomial representation is a way to express a polynomial as a product of powers of its variables, where each power is a non-negative integer. For example, the polynomial 2x^3 + 4x^2 - 6x + 8 can be represented as a monomial representation of (2x^3)(x^2)(-6x)(8).
Symmetric polynomials are polynomials that are invariant under permutation of their variables. A symmetric presentation is a way of expressing a symmetric polynomial as a sum of elementary symmetric polynomials, which are defined as the sum of all possible products of variables taken i at a time, where i ranges from 1 to the number of variables. For example, the symmetric polynomial x^3 + y^3 + z^3 can be expressed as a symmetric presentation of x + y + z.
Step-by-step explanation: