Answer:
SOLUTION:
The volume V of a prism is V = Bh, where B is the
area of a base and h is the height of the prism.
The volume is ==== 108 cm3
.
Step-by-step explanation:
Sarah would like to build a garden this year. Sarah measured out the outside of her proposed garden and would like to know how many square feet of space she will have to use. Calculate the area of her garden from the picture below.
Answer:
139.5
Step-by-step explanation:
First you take 7*6 then 5*7 and add them you get 77.
Then the next part is finding the area of a trapezoid (a+b)/2*h then you plug the numbers in (8+17)/2*5=62.5
Add 77+62.5=139.5
The original price of a wedding cake is $52. What is the sale price?
Jenna works for the Parks Department and just completed some maintenance work at the baseball fields in Memorial Park. She needs to drive to the playground at Veteran’s Park next. In which general direction will she drive?
a map of a town showing two parks
A.
southwest
B.
northwest
C.
southeast
D.
northeast
Answer:North west, the roads should have stopped this answer but north alone wasn’t an option so just pretend Jenna is a lawless maniac ig♂️
Step-by-step explanation:
very unsure of this answer so pls help asap if you can!!
The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.
What is a parallelogram?In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.
In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:
(Line segment PR)/2 = (Line segment SQ)/2
Line segment PR = Line segment SQ
Read more on a parallelogram here: brainly.com/question/31416609
#SPJ1
The points (-3, -3) and (5, r) lie on a line with slope 3/2
Find the missing coordinate r.
Answer:
The missing coordinate \(r\) is 9.
Step-by-step explanation:
Given the points \(P(x,y) = (-3,-3)\) and \(Q(x,y) = (5,r)\), the slope of a line passing the two points (\(m_{PQ}\)) is determined by equation of secant line:
\(m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}\) (1)
\(m_{PQ} = \frac{r-(-3)}{5-(-3)}\)
If we know that \(m_{PQ} = \frac{3}{2}\), then the value of \(r\) is:
\(\frac{3}{2} = \frac{r+3}{8}\)
\(12 = r + 3\)
\(r = 9\)
The missing coordinate \(r\) is 9.
Sam made the shape at the right from colored tiles. What is the area of the shape?
Answer:
Step-by-step explanation:
true or false: if we had access to data that included the entire population, then the values of the parameters would be known and no statistical inference would be required. true false question. true false
The parameters' values would be known if we had access to data that covered the entire population, so no statistical inference would be necessary is True.
As per the question given,
True. If we had access to data that included the entire population, we would have the complete information about the population parameters, and no statistical inference would be needed. However, in practice, it is often not possible or feasible to obtain data on the entire population, and statistical inference is required based on samples from the population.
All citizens present in, or temporarily absent from, a country, as well as foreigners permanently resident in a country, are characterised as population. This statistic depicts the average number of people who reside in a certain location. The yearly changes in population caused by births, deaths, and net migration during the year are referred to as growth rates.
For such more questions on Population
https://brainly.com/question/29885712
#SPJ4
Suppose that X is an exponentially distributed random variable with lambda = 0.47 . Find each of the following probabilities:
A. P(X > 1) =
B. P(X > 0.36) =
C. P(X < 0.47) =
D. P(0.32 < X < 2.46) =
The requested probabilities are: A. P(X > 1) ≈ 0.628; B. P(X > 0.36) ≈ 0.844; C. P(X < 0.47) ≈ 0.226; D. P(0.32 < X < 2.46) ≈ 0.524
The probability density function of an exponentially distributed random variable with parameter lambda is given by:
f(x) = lambda * e^(-lambda * x), for x >= 0
The cumulative distribution function (CDF) of X is given by:
F(x) = P(X <= x) = 1 - e^(-lambda * x), for x >= 0
Using the given value of lambda = 0.47, we can solve for each probability as follows:
A. P(X > 1) = 1 - P(X <= 1) = 1 - (1 - e^(-0.47 * 1)) = e^(-0.47) ≈ 0.628
B. P(X > 0.36) = 1 - P(X <= 0.36) = 1 - (1 - e^(-0.47 * 0.36)) = e^(-0.1692) ≈ 0.844
C. P(X < 0.47) = P(X <= 0.47) = 1 - e^(-0.47 * 0.47) ≈ 0.226
D. P(0.32 < X < 2.46) = P(X <= 2.46) - P(X <= 0.32) = (1 - e^(-0.47 * 2.46)) - (1 - e^(-0.47 * 0.32)) ≈ 0.524
Know more about probabilities here:
https://brainly.com/question/13604758
#SPJ11
Two numbers have these properties.
Both numbers are greater than 8.
Their highest common factor (HCF) is 8.
Their lowest common multiple (LCM) is 80.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and ...
Answer:
16 and 40Step-by-step explanation:
Let the numbers be x and y
HCF is 8, so both numbers are multiples of 8 ⇒ x = 8n, y = 8m
As per property of numbers, the product of numbers is equal to product of their LCM and HCF:
xy = HCF(x,y) × LCM(x,y)Since LCM(x,y) = 80 we have:
8×80 = xy8×80 = 8n×8m10 = nmPossible option:
n = 2, m = 5Then the numbers are:
x = 2*8= 16y = 5*8 = 40A direct variation includes the points (3, -18) and (-2, n). Find n. Write and solve a direct variation equation to find the answer.
n =
Using Direct Variation, the value of n = 26
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We need to Write y = kx based on the conditions stated.
Replace with: -18 = k x 3
Turn the sides around: k × 3 = -18
Now Subtract the coefficient of the variable from both sides of the equation:
k = 26 compute the product or quotient.
Write the function's equation as;
y = 26x
Replace with:
n = 26 × 4
n = 104; compute the product or quotient.
Response: n = 26
To learn more about direct variation from given link
brainly.com/question/2375770
#SPJ1
HELP ASAP ASAP HELPPP
Find the equation of locus of a point which moves so that
1. Its distance from X-axis is always 4 units.
Answer:
Given,
Moving point =P(x,y)
Fixed point = Q(x,0)
PQ = 4 units
now,
PQ² = (x-x)² + (y-0)²
or, 4² = 0² + y²
or, 16 = y²
or, √16 = y
∴ y = ±4
The equation of the locus of the moving point that maintains a distance of 4 units from the X-axis is y = ±4, representing two parallel horizontal lines.
To find the equation of the locus of a point that always maintains a distance of 4 units from the X-axis, let's analyze the given information.
Let P(x, y) be the moving point and Q(x, 0) be the fixed point on the X-axis. The distance between P and Q is denoted by PQ. According to the problem, PQ is always 4 units.
Using the distance formula, we have:
PQ² = (x - x)² + (y - 0)²
Since the x-coordinate of both P and Q is the same (x - x = 0), the equation simplifies to:
PQ² = y²
Substituting the value of PQ as 4 units:
4² = y²
16 = y²
Taking the square root of both sides:
\(\sqrt{16 } = \sqrt{y^2}\)
±4 = y
Therefore, the y-coordinate of the moving point P can be either positive or negative 4, giving us two possible solutions for the y-coordinate.
Hence, the locus of the moving point P that maintains a distance of 4 units from the X-axis is given by the equation:
y = ±4
This equation represents two horizontal lines parallel to the X-axis, with y-coordinates at +4 and -4. Any point (x, y) on these lines will always be at a constant distance of 4 units from the X-axis.
For more such information on: equation
https://brainly.com/question/29174899
#SPJ8
3. Last year in January Nugget Park employed 520 workers. At the end of the
year 195 employees were made redundant. What fraction of the workforce
kept their jobs?
\(\frac{325}{520}\) fraction of the workforce kept their jobs
What is the Percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
What is Percentage change?
The percentage increase is calculated by subtracting the original number from the new number, dividing that result by the original number, and multiplying that result by 100.
where growth in number equals new number minus initial number.
Similar to how a percentage increase is calculated, a percentage reduction is calculated by subtracting a new number from the original number, dividing that new number by the original number, and multiplying that result by 100.
decreasing number where original number - new number
In other words, there is a percentage decline if the response is negative.
Here, It is given:
In January 520 workers were employed;
In the end, 195 employees were redundant;
So, The fraction of the workforce who kept their job:-
The fraction of the workforce who kept their job=\(\frac{520-195}{520}\)
The fraction of the workforce who kept their job=\(\frac{325}{520}\)
Hence,
The fraction of the workforce who kept their job=\(\frac{325}{520}\)
To learn more about fractions, visit:
https://brainly.com/question/24877689
#SPJ13
7.33 In one area along the interstate, the number of dropped wireless phone connections per call follows a Poisson distribution. From four calls, the number of dropped connections is 2 0 3 1 (a) Find the maximum likelihood estimate of lambda. (b) Obtain the maximum likelihood estimate that the next two calls will be completed without any ac- cidental drops.
(A) The maximum likelihood estimate of lambda is 1.5.
(B) The maximum likelihood estimate that the next two calls will be completed without any accidental drops is e^(-3).
To find the maximum likelihood estimate of lambda in a Poisson distribution representing the number of dropped wireless phone connections per call, we can analyze the given data. From four calls with the number of dropped connections as 2, 0, 3, and 1, we can determine the lambda value that maximizes the likelihood of observing these specific outcomes. Using the maximum likelihood estimation, we can also estimate the likelihood of the next two calls being completed without any accidental drops.
(a) To find the maximum likelihood estimate of lambda, we need to determine the parameter that maximizes the likelihood of observing the given data. In a Poisson distribution, the probability mass function is given by P(X = x) = (e^(-lambda) * lambdaˣ) / x!, where X is the number of dropped connections and lambda is the average number of dropped connections per call.
Given the data: 2, 0, 3, 1, we calculate the likelihood function L(lambda) as the product of the individual probabilities:
L(lambda) = P(X = 2) * P(X = 0) * P(X = 3) * P(X = 1)
To find the maximum likelihood estimate, we differentiate the logarithm of the likelihood function with respect to lambda, set it equal to zero, and solve for lambda. However, for simplicity, we can directly observe that the likelihood is maximized when lambda is the average of the given data points:
lambda = (2 + 0 + 3 + 1) / 4
lambda = 6 / 4
lambda = 1.5
Therefore, the maximum likelihood estimate of lambda is 1.5.
(b) To estimate the likelihood of the next two calls being completed without any accidental drops, we can use the maximum likelihood estimate of lambda obtained in part (a). In a Poisson distribution, the probability of observing zero dropped connections in a call is given by P(X = 0) = (e^(-lambda) * lambda^0) / 0!, which simplifies to e^(-lambda).
Using lambda = 1.5, we can calculate the probability of zero dropped connections in a call:
P(X = 0) = e^(-1.5)
To estimate the likelihood of two consecutive calls without any drops, we multiply the individual probabilities:
P(X = 0 in call 1 and call 2) = P(X = 0) * P(X = 0) = (e^(-1.5))^2 = e^(-3)
Therefore, the maximum likelihood estimate that the next two calls will be completed without any accidental drops is e^(-3).
Learn more about Maximum:
brainly.com/question/29130692
#SPJ11
I only need the b if someone has it could pass it to me
Answer:
40%
Step-by-step explanation:
what metric unit would be best to measure the capacity of a cereal bowl
The metric unit that would be best to measure the capacity of a cereal bowl is milliliters (ml).
Capacity is a measure of the amount of fluid that a container can hold. Cereal bowls are typically used to hold liquids such as milk or yogurt along with cereal. Milliliters are a commonly used metric unit of volume that would be appropriate for measuring the capacity of a cereal bowl. Other metric units of volume such as liters or cubic centimeters could also be used, but milliliters would provide a more precise measurement for a smaller container such as a cereal bowl. To measure the capacity of a cereal bowl in milliliters, one would simply pour a known amount of water into the bowl and measure the volume of the water using a measuring cup or a graduated cylinder.
Learn more about metric unit here
https://brainly.com/question/28896549
#SPJ11
If (a-b)²=3, a²+b²=29, find the value of ab.
Answer:
a = 5
b = 2
Step-by-step explanation:
a^2 + b^2 = 29
5^2 + 2^2 = 29
Two point charges (Q
1
=−27Q
0
and Q
2
=+55Q
0
) are held in place along the x-axis. Q
1
is at x
1
=−5a and Q
2
is at x
2
=9 a. You are interested in determining the electric field at point P located at (x,y)=(0,7a). Hint: start off by drawing a picture of this scenerio. 1) What is the x-component of the electric field from Q
1
at point P in un
o
/a
2
? kQ
o
/a
2
You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 2) What is the y-component of the electric field from Q
1
at point P in units of kQ
o
/a
2
? kQ
o
/a
2
You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 3) What is the x-component of the electric field from Q
2
at point P in units of kQ
o
/a
2
? kQ
o
/a
2
You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 4) What is the y-component of the electric field from Q
2
at point P in units of kQ
o
/a
2
? kQ
o
/a
2
You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 5) What is the magnitude of the net electric field at point P in units of kQ
o
/a
2
? kQ
o
/a
2
You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 6) If you now place another point charge (q
3
=+115Q
0
) at point P, what will be the x-component of the net force on it in units of kQ
o
/a
2
? kQ
o
/a
2
You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 7) Suppose the sign of q
3
is changed but its magnitude stays the same, q
3
=−115Q
0
. What is the x-component of the net force on it in units of (\kQo/a
∧
2\) now? kQ
o
/a
2
You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question.
A two point charges are held in place along with equation of the x-axis:
1.E1x = (k × (-27Q0)) / (-5a)²
2.E1y = 0
3.E2x = (k ×(55Q0)) / (9a)²
4.E2y = 0
5.E= √((E1x + E2x)²)
6.F3x = (k ×(-27Q0) × (+115Q0)) / (-5a)²
7.F3x = (k × (-27Q0) × (-115Q0)) / (-5a)²
To determine the electric field at point P, we need to consider the contributions from both point charges Q1 and Q2.
The x-component of the electric field from Q1 at point P can be calculated using Coulomb's law:
E1x = (k × Q1) / r1²
Here, k represents the electrostatic constant, Q1 is the charge of Q1, and r1 is the distance between Q1 and point P along the x-axis.
Given that Q1 = -27Q0 and the distance between Q1 and point P is x1 = -5a, we can substitute these values into the formula:
E1x = (k × (-27Q0)) / (-5a)²
The y-component of the electric field from Q1 at point P is zero since Q1 is located on the x-axis.
E1y = 0
The x-component of the electric field from Q2 at point P can also be calculated using Coulomb's law:
E2x = (k × Q2) / r2²
Here, Q2 = +55Q0 and the distance between Q2 and point P is x2 = 9a:
E2x = (k × (55Q0)) / (9a)²
The y-component of the electric field from Q2 at point P is also zero since Q2 is located on the x-axis.
E2y = 0
To calculate the magnitude of the net electric field at point P, we can use the Pythagorean theorem:
E = √((E1x + E2x)² + (E1y + E2y)²)
Since E1y and E2y are both zero, the equation simplifies to:
E = √((E1x + E2x)²)
If we place another point charge q3 = +115Q0 at point P, the x-component of the net force on it can be calculated using Coulomb's law:
F3x = (k × Q1 × q3) / r1
Here, Q1 = -27Q0 and q3 = +115Q0, and the distance between Q1 and point P is x1 = -5a:
F3x = (k × (-27Q0) × (+115Q0)) / (-5a)²
If the sign of q3 is changed to q3 = -115Q0, the x-component of the net force on it can be calculated as:
F3x = (k × Q1 ×q3) / r1²
Here, Q1 = -27Q0 and q3 = -115Q0, and the distance between Q1 and point P is x1 = -5a:
F3x = (k ×(-27Q0) ×(-115Q0)) / (-5a)²
To know more about equation here
https://brainly.com/question/29657983
#SPJ4
how do you simplify a trigonometric expression? use identities and/or algebraic techniques to simplify a trigonometric expression. write another example for your classmates to simplify.
Then, you can simplify by multiplying through by cos(θ) to get rid of the fraction:
(sin2θ)/cos(θ) + sin(θ)= sin(θ)(1 + cos(θ))/cos(θ)
When simplifying a trigonometric expression, you can use identities and/or algebraic techniques.
There are a few key identities that can be used to simplify trigonometric expressions. One such identity is the Pythagorean identity:
sin2θ + cos2θ = 1.
Another identity is the reciprocal identity:
1/cscθ = sinθ, 1/secθ = cosθ, 1/cotθ = tanθ.
Finally, the quotient identity is another helpful tool:
tanθ = sinθ/cosθ.
To simplify a trigonometric expression using these identities, you should look for ways to rewrite parts of the expression in terms of these identities.
For example, if you have an expression like sin(θ)cos(θ) + cos(θ), you can use the Pythagorean identity to rewrite
sin2θ as 1 - cos2θ, and then substitute that in to get:
(1 - cos2θ)cosθ + cosθ= cosθ - cos3θ
Another example of a trigonometric expression that can be simplified using these techniques is:
tan(θ)sin(θ) + cos(θ)tan(θ)
First, you can use the quotient identity to rewrite tan(θ) as sin(θ)/cos(θ):
(sin(θ)/cos(θ))sin(θ) + cos(θ)(sin(θ)/cos(θ))
Then, you can simplify by multiplying through by cos(θ) to get rid of the fraction:
(sin2θ)/cos(θ) + sin(θ)= sin(θ)(1 + cos(θ))/cos(θ)
for such more question on trigonometric
https://brainly.com/question/25618616
#SPJ11
The difference of the same side interior angles of two parrelels lines is 50 degrees find all angles
Answer:
Angle 1 = 115 degrees
Angle 2 = 65 degrees
Step-by-step explanation:
Angle 1: Same-side interior angle of Line 1
Angle 2: Same-side interior angle of Line 2
We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:
Angle 1 + Angle 2 = 180
Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:
Angle 1 - Angle 2 = 50
We can rewrite this equation as:
Angle 1 = 50 + Angle 2
Now substitute this expression for Angle 1 into the first equation:
(50 + Angle 2) + Angle 2 = 180
Combine like terms:
2Angle 2 + 50 = 180
Subtract 50 from both sides:
2Angle 2 = 130
Divide by 2:
Angle 2 = 65
Now substitute this value back into the equation for Angle 1:
Angle 1 = 50 + Angle 2
Angle 1 = 50 + 65
Angle 1 = 115
Therefore, the angles are as follows:
Angle 1 = 115 degrees
Angle 2 = 65 degrees
pls give answer ASAP
Answer:
B
Step-by-step explanation:
D is the father of J, who is the brother to R and A happens to be his sister.
Therefore, D is the father of J,R and A
what is the percent error from 23 to 48
Answer:
12
Step-by-step explanation:
12-5
Read the case study on page 326~327 of your textbook. Using the information and data provided in the text answer the following questions:
1. What changes or patterns do you see in the data? What remedies might be suggested for any problems?
2. Has the CEO carried out his or her responsibility for educating the board? Why or why not?
3. Depending on the answer to question 2, what strategies would you recommend at this point?
4. What quality data should be reported and utilized by this board of directors?
5. Given this administration’s style and leadership approach, do you think the minutes of the board meeting reflect actual board meeting discussions?
6. Is the board actually using the information provided to make decisions that affect quality and performance improvement?
1. If any problems are identified, suggest potential remedies such as process improvements, employee training, quality control measures, or changes in strategy.
2. Consider whether the CEO has effectively communicated the company's goals, performance metrics, challenges, and strategies to the board.
3. If the CEO has fulfilled their responsibility, focus on refining the communication process and ensuring that the board receives timely and relevant information.
4. Emphasize the importance of accurate, timely, and actionable data that enables the board to make informed decisions.
5. Consider whether the minutes provide a clear and objective summary of the discussions and whether they align with the organization's leadership style and approach.
6. Evaluate whether the board's decisions and initiatives align with the organization's goals and objectives for quality and performance improvement.
To identify changes or patterns in the data, carefully analyze the provided data in the case study. Look for trends, variations, or any significant shifts in the data over time. Consider factors such as growth rates, financial performance, customer satisfaction ratings, employee turnover, or any other relevant metrics. If any problems are identified, suggest potential remedies such as process improvements, employee training, quality control measures, or changes in strategy.
Assess whether the CEO has fulfilled their responsibility for educating the board by evaluating the level of knowledge and understanding demonstrated by the board members. Determine if the board members have been provided with sufficient information and resources to make informed decisions. Consider whether the CEO has effectively communicated the company's goals, performance metrics, challenges, and strategies to the board.
Based on the assessment in question 2, recommend appropriate strategies. If the CEO has not adequately educated the board, suggest initiatives such as regular training sessions, workshops, or providing comprehensive reports to enhance their understanding of the business. If the CEO has fulfilled their responsibility, focus on refining the communication process and ensuring that the board receives timely and relevant information.
Determine the key quality-related data that should be reported and utilized by the board of directors. This may include data on customer satisfaction, product quality metrics, employee engagement and satisfaction, financial performance indicators, market share, or any other relevant measures that align with the organization's goals and objectives. Emphasize the importance of accurate, timely, and actionable data that enables the board to make informed decisions.
Evaluate the minutes of the board meetings to assess if they accurately reflect the discussions held during the meetings. Look for comprehensive records of agenda items, decisions made, action items assigned, and any important points or concerns raised by board members. Consider whether the minutes provide a clear and objective summary of the discussions and whether they align with the organization's leadership style and approach.
Assess whether the board is utilizing the information provided to make decisions that impact quality and performance improvement. Look for evidence of the board actively discussing and considering the quality-related data, asking relevant questions, and taking actions based on the information. Evaluate whether the board's decisions and initiatives align with the organization's goals and objectives for quality and performance improvement.
Learn more about metrics from
https://brainly.com/question/1837503
#SPJ11
A summary of wings of fire book 4
Wings of Fire is a summary of the autobiography of the former President of India, Dr. Abdul Kalam.
What is the summary of Wings of Fire?The autobiography of Dr. Abdul Kalam, a former Indian president, is titled Wings of Fire. Kalam rose from obscurity in South India to become president and develop India's nuclear arsenal. The reader gets a glimpse into pre-partition India through this autobiography.
The story of a young boy who battles all odds to pursue his dreams is told in "Wings of Fire." The narrative emphasizes the value of friends, family, and relatives in supporting one another and realizing one's dreams.
It should be noted that the last segment of the Wings of Fire is connected with the later years when Kalam is bestowed with series of awards, his thought and his vision for a proud India.
Learn more about summary on:
https://brainly.com/question/25605883
#SPJ1
3_1/2 divided by 5/8
What is the answer
Answer:
28/5 or 5 3/5
Step-by-step explanation:
First you need to make the mixed number into an improper fraction, like this:
3 1/2 turns into 7/2
Next you will need to do the reciprocal of division and inverse operation:
7/2 times 8/5
Then solve it:
7/2 * 8/5 = 56/10
Last simplify:
28/5
or
5 3/5
Please help!!! The function ht describes the height in feet of an object at time t in seconds when it is launched upward from the ground at an i risk speed of 112 feet oder second find the domain what does the domain mean in this context
Step-by-step explanation:
the domain of a function is always the interval or set of all valid input values (usually x, but here t).
the range is the interval or set of all valid result values (usually y or f(x), here h(t)).
as the graph shows, the function works only for values of t starting at 0 (at 0 seconds the object has 0 ft height, it is still on the ground and about to launch).
and it ends at t = 7.
obviously the object hits the ground after 7 seconds again after coming back down. so, the height function does not make any sense for values of t after that.
so, again, the domain is
0 <= t <= 7
show that if g and h are consistent cuts of a distributed computation (e, →), then so are g ∪ h and g ∩ h.
The distributed computation (e, →) is said to be consistent if all computations lead to the same result, regardless of the order in which the steps are performed.
Let g and h be consistent cuts of a distributed computation (e, →).
We must demonstrate that g ∪ h and g ∩ h are also consistent cuts of (e, →).
Let R be the set of events that are in both g and h. If we remove R from either g or h, we get a consistent cut since the removed events cannot cause a change in the outcome.
By removing R from both g and h, we obtain two new consistent cuts: g − R and h − R.
Thus, we can write:g = (g − R) ∪ R and h = (h − R) ∪ R. Since (g − R) and (h − R) are consistent cuts, it follows that their union, g ∪ h, is also a consistent cut. I
f we let S be the set of events that are in both g and h, then we can write:g = (g ∩ h) ∪ (g − S) and h = (g ∩ h) ∪ (h − S).
Again, (g − S) and (h − S) are consistent cuts, so their intersection, g ∩ h, is also a consistent cut.
Therefore, if g and h are consistent cuts of a distributed computation (e, →), then so are g ∪ h and g ∩ h.
To know more about superset visit:
https://brainly.ph/question/2206836
#SPJ11
The causal theory of perception is the view that our experiences (our sensations and ideas) are the effects of physical objects acting on our sense organs (which are thereby the causes).a. Trueb. False
True. The causal theory of perception is the view that our experiences, such as our sensations and ideas, are caused by physical objects acting on our sense organs.
According to this causal theory of perception, when an object in the external world acts on our sense organs, it causes certain neural processes to occur, which in turn give rise to our conscious experiences. The causal theory of perception holds that there is a causal relationship between physical objects in the external world and our conscious experiences. When an object interacts with our sense organs, it causes certain neural processes to occur in our brain, which ultimately give rise to our conscious experiences of the object. So, the physical object is the cause, and our conscious experience is the effect.
Learn more about causal theory of perception here:
https://brainly.com/question/11606960
#SPJ11
Question 18 (1 point) What is the direction cosine for the vector (7, 4, -3) with the positive z-axis? O a) ) a) 374 Ob) - 3 74 Oc) 3/4 3 O d)-74
The direction cosine for the vector (7, 4, -3) with the positive z-axis is -3 * sqrt(74) / 74.
To find the direction cosine of a vector with respect to the positive z-axis, we need to calculate the cosine of the angle between the vector and the positive z-axis.
Let's denote the given vector as vector v = (7, 4, -3). The direction cosine can be found by taking the z-component of the vector and dividing it by the magnitude of the vector.
The magnitude of the vector v can be calculated as follows:
|v| = sqrt((7^2) + (4^2) + (-3^2)) = sqrt(49 + 16 + 9) = sqrt(74)
Now, we can calculate the direction cosine:
Direction cosine = z-component of vector / magnitude of vector = -3 / sqrt(74)
To simplify the expression, we can rationalize the denominator by multiplying the numerator and denominator by sqrt(74):
Direction cosine = -3 * sqrt(74) / sqrt(74) * sqrt(74) = -3 * sqrt(74) / 74
Know more about vector here:
https://brainly.com/question/24256726
#SPJ11
Match each word to the appropriate example using the expression 5a + 9b − 4.
is a coefficient.
is a constant.
There are
terms in the expression.
Answer:
5 and 9 are coefficients , -4 is a constant, and there are 3 terms in this expression.
Step-by-step explanation: