which absolute value function opens down?
See attachment for math work and answer.
Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 15, −9) and parallel to the line x = −1 + 4t, y = 6 − 2t, z = 3 + 9t. r(t) = . (x(t), y(t), z(t)) = .
A vector theory and descriptive coefficients for the line are provided by the statement: r(t) = 0,15,-9> +t4,-2,9>.
What is a class 12 vector?There are different quantities, which include direction and magnitude. If the quantity has both magnitude and direction, it is said to be a vector. These are referred to as vector quantities. Examples include displacement, speed, acceleration, energy, weight, impetus, and electric intensity. Consequently, the vector quantity is and the SI unit for it is m/s².
The given line is-
x = -1+4t, y = 6-2t, z = 3+9t
That is,
r(t) = <-1+4t, 6-2t, 3+9t> = < -1,6,3> +t<4, -2,9>
The line concurrent to the given line's direction vector is
u = <4,-2,9>
Equation for line going through point (x0,y0,z0) and has direction vector u is line passing through point (0,15,-9)
r(t) = < x0, y0,z0> +tu
That is
r(t) = <0,15, -9> +t<4,-2,9>
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Machine A and machine B both make car parts.
Machine A makes 6 parts every 10 minutes.
Machine B makes 13 parts every 15 minutes.
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday.
Answer:
Machine A- 432
Machine B- 520
Step-by-step explanation:
Sure! Just find out how many parts the machines make in an hour. So Machine A makes 36 parts in an hour and Machine B makes 52 parts in an hour. Then multiply the number of parts in an hour by the number of hours they make parts for on Monday!
HELP FAST!
On a number line, suppose point E has a coordinate of - 4, and EG = 8. What are the possible coordinates of point G?
The possible coordinates for G are?
Answer:
G could be at either 14 or at -6.
Step-by-step explanation:
a data set has a range of 22, a median of 40, and a mode of 52. if there six values in the data set, what could they be?
One possible set of values could be:
29, 30, 31, 52, 53, 54
Given:
Range = 22
Median = 40
Mode = 52
Number of values in the data set = 6
Since the median is 40, it indicates that two values in the data set are below 40, and three values are above 40.
The mode is given as 52, which means that at least one value in the data set is equal to 52.
There are six values in the data set, we can construct a possible set of values:
Min Value + 2 values below median + Mode + 3 values above median + Max Value = 6 values
Let's try one possible combination:
Min Value = 40 - 11 = 29
Max Value = Min Value + Range = 29 + 22 = 51
One possible set of values could be:
29, 30, 31, 52, 53, 54
Here, the range is 51 - 29 = 22, the median is 52, and the mode is also 52.
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9/d as a algebraic expression
Answer:
\(\frac{9}{d}\)
or
9÷d
Hopefully this is what you're looking for.
Help a uneducated sis out✊
Answer & Step-by-step explanation:
The domain of a set of points refers to the input, also known as the x values. To find the domain, record all the x values given (x,y):
\(domain={-2,0,3,5}\)
:Done
**The range is the output, aka the y values.
Please help me this is pretty hard
Answer:
1 is the answer
Step-by-step explanation:
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help ill give brainly ;))
Answer:
a) 22:25 is the earliest time
b)15 min
Step-by-step explanation:
Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....
10:10(standard) = 22:10 (military)
22:10 -> 15min-> 22:25
Answer:
a) 22:25 is the earliest time
b)15 min
Because
Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....
Students spent 950 hours
researching public policies. They
spent 64% of this time talking to
members of Congress. How many
hours did the students spend talking
to members of Congress?
Answer:
608 hours
Step-by-step explanation:
64% as a decimal is 0.64.
950(0.64) = 608
A combination lock has 6 settings, where any digit from to can be selected for each setting, and any digit may be repeated. How many different numeric combination codes can be set on this lock
There are 1,000,000 different numeric combination codes that can be set on this lock.
Given that a combination lock has 6 settings, and any digit from 0 to 9 can be selected for each setting with the possibility of repetition, the number of different numeric combination codes that can be set on this lock can be calculated as follows:
Your answer: There are 10 possible digits for each of the 6 settings (0-9). Since each setting is independent and any digit can be repeated, you can simply multiply the number of possibilities for each setting together.
Step 1: Determine the number of possibilities for each setting (0-9) which is 10.
Step 2: Multiply the number of possibilities for all 6 settings: 10 x 10 x 10 x 10 x 10 x 10.
This results in 1,000,000 different numeric combination codes that can be set on this lock.
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Find the mean for the data set. 6, 14, 7, 4, 12, 8, 13, 4, 18, 14
Answer:
Concept:
Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!
The values are given below as
\(6,14,7,4,12,8,13,4,18,14\)The image below shows how to calculate the mean
By substituting values, we will have
\(\begin{gathered} \bar{x}=\frac{\sum ^{}_{n\mathop=0}x}{n} \\ n=10 \end{gathered}\)\(\begin{gathered} \bar{x}=\frac{6+14+7+4+12+8+13+4+18+14}{10} \\ \bar{x}=\frac{100}{10} \\ \bar{x}=10 \end{gathered}\)Hence,
The mean = 10
To calculate the variance, we will use the formula below
\(^{}\sigma^2=\frac{\sum ^{\infty}_{n\mathop=0}(x-\bar{x})^2}{n}\)\(\begin{gathered} \sigma^2=\frac{\sum ^{\infty}_{n\mathop{=}0}(x-\bar{x})^2}{n} \\ (x-\bar{x})^2=(6-10)^2+(14-10)^2+(7-10)^2+(4-10)^2+(12-10)^2+(8-10)^2+(13-10)^2+(4-10)^2+(18-10)^2+(14-10)^2 \\ (x-\bar{x})^2=16+16+9+36+4+4+9+36+64+16 \\ (x-\bar{x})^2=210 \end{gathered}\)\(\begin{gathered} \sigma^2=\frac{\sum ^{\infty}_{n\mathop{=}0}(x-\bar{x})^2}{n} \\ \sigma^2=\frac{210}{10} \\ \sigma^2=\frac{210}{10} \\ \sigma^2=21 \end{gathered}\)Hence
The variance = 21
To calculate the standard deviation,
\(\begin{gathered} \sigma=\sqrt[]{variance} \\ \sigma=\sqrt[]{21} \\ \sigma=4.58 \end{gathered}\)Hence,
The standard deviation is = 4.58
Which ordered pair shows an equivalent ratio of hours to miles?
Answer:
(90 , 9)
(70 , 7)
Step-by-step explanation:
I'm not too sure of the answer, thanks
Mark, Samuel and Imran order a take-away pizza. The pizza is cut into 12 equal slices. Mark eats 3 slices and Samuel eats 4 slices. Imran eats the rest. What fraction of the pizza did Imran eat?
Answer:
B
Step-by-step explanation:
Cause I said
What is the surface area of a right cone and a right rectangular prism?
Answer:
Surface Area = πr² + πrl
Step-by-step explanation:
The surface area of a right cone and a right rectangular prism can be calculated using different formulas.
Surface Area of a Right Cone:
A right cone consists of a circular base and a curved surface that tapers to a single point called the apex. The formula to calculate the surface area of a right cone is:
Surface Area = πr² + πrl
Where:
π is a mathematical constant approximately equal to 3.14159.
r is the radius of the circular base of the cone.
l is the slant height of the cone, which is the distance from the apex to any point on the circumference of the base.
Surface Area of a Right Rectangular Prism:
A right rectangular prism, also known as a cuboid, is a three-dimensional shape with six rectangular faces. The formula to calculate the surface area of a right rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Where:
l is the length of the rectangular prism.
w is the width of the rectangular prism.
h is the height of the rectangular prism.
Please note that the units of measurement should be consistent throughout the calculations.
Answer:
prism
Step-by-step explanation:
A geometric solid with two bases that are congruent, parallel polygons and all other faces are parallelograms.
F(x)=(1/4)x^3 + x -1
What is the value of (f^-1)'(x) when x=3?
Answer: To find the value of (f^-1)'(x) when x=3, we need to use the formula for the derivative of the inverse function:
(f^-1)'(x) = 1 / f'(f^-1(x))
Here, f(x) = (1/4)x^3 + x - 1. To find f'(x), we need to take the derivative of f(x) with respect to x:
f'(x) = (3/4)x^2 + 1
Now, we need to find f^-1(x) by solving for x in terms of y:
y = (1/4)x^3 + x - 1
y + 1 = (1/4)x^3 + x
4(y + 1) = x^3 + 4x
x^3 + 4x - 4(y + 1) = 0
We can solve this equation for x using a numerical method such as Newton's method or by using a graphing calculator. After solving, we find that:
f^-1(x) = g(x) = cube root of (x - 3) + 1
Now, we can find (f^-1)'(x) when x = 3:
(f^-1)'(3) = 1 / f'(f^-1(3))
= 1 / f'(g(3))
= 1 / [(3/4)g(3)^2 + 1]
= 1 / [(3/4)(-1)^2 + 1]
= 1 / (3/4 + 1)
= 4/7
Therefore, the value of (f^-1)'(x) when x = 3 is 4/7.
Step-by-step explanation:
Mary has $2700 in her checking account and $1500 in her savings account. She
uses her checking account to pay bills, which are about $240 each month. In how
many months will her checking account balance equal her savings account
balance?
It would take her 5 months
You and a group of friends wish to start a company. You have an idea, and you are comparing startup incubators to apply to. (Start up incubators hold classes and help startups to contactventure capitalists and network with one another) Assume funding is normally distributed. Incubator A has a 70% success ratio getting companies to survive at least 4 years from inception. The average venture funding of the 57 companies reaching that 4 year mark,is 1.3 million dollars with a standard deviation of 0.6 million Incubator B has a 39% success ratio getting companies to survive at least 4 years from inception. The average venture funding of the 40 companies reaching that 4 year mark,is 1.9 million dollars with a standard deviation of 0.55 millionAre the success ratios significantly different?
To determine if the success ratios of Incubator A and Incubator B are significantly different, we can perform a hypothesis test.
Let's set up the null and alternative hypotheses as follows:
Null Hypothesis (H0): The success ratios of Incubator A and Incubator B are not significantly different.
Alternative Hypothesis (H1): The success ratios of Incubator A and Incubator B are significantly different.
We can use a significance level (α) of 0.05, which is a common choice.
To test the hypothesis, we can use a two-proportion z-test since we are comparing the success ratios of two groups. The formula for the test statistic is:
z = (p1 - p2) / sqrt(p_hat * (1 - p_hat) * (1/n1 + 1/n2))
where:
p1 and p2 are the success ratios of Incubator A and Incubator B, respectively,
p_hat is the pooled sample proportion,
n1 and n2 are the sample sizes of Incubator A and Incubator B, respectively.
Let's calculate the test statistic and compare it to the critical value to make a decision.
Given:
Success ratio of Incubator A (p1) = 0.70
Sample size of Incubator A (n1) = 57
Success ratio of Incubator B (p2) = 0.39
Sample size of Incubator B (n2) = 40
First, calculate the pooled sample proportion (p_hat):
p_hat = (x1 + x2) / (n1 + n2)
where x1 is the number of successes in Incubator A and x2 is the number of successes in Incubator B. Since we are not given the actual counts, we cannot calculate the exact value of p_hat.
Next, calculate the test statistic (z) using the formula above.
Once we have the test statistic, we can compare it to the critical value from the standard normal distribution at the specified significance level (α) to make a decision.
If the test statistic falls within the rejection region (i.e., it is beyond the critical value), we reject the null hypothesis. If it falls within the acceptance region (i.e., it is within the critical value), we fail to reject the null hypothesis.
Without knowing the actual counts of successes in Incubator A and Incubator B, we cannot perform the calculations to determine if the success ratios are significantly different.
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Tara and Edith share a sum of money in the ratio 13 : 12
What percentage of the money does Tara receive?
Answer:
She receives 108.33% ( or $108.33)
Step-by-step explanation:
Tara receives $108.33 because 13/12 into a percentage =108 times 100
which = 108.33.That's all there is to it! Hope you have a great day.
What is the circumference of a circle with a diameter of 4.2 cm?
Answer:
it would be C≈13.19cm
hope this helps :)
why are alternate exterior angles congruent?
Answer:
because they have straight lines and they are regular
Step-by-step explanation:
NEED HELP ASAP!!!!!
Jeff and Ed are climbing a small mountain. The height Jeff climbed with respect to time is given by the function H(t) = -250|x − 4| + 1,000. Ed’s height with respect to time is modeled in the graph.
Ed and Jeff both climb to the mountain’s peak and then climb back down.
The maximum height of the mountain is (blank) feet. Jeff takes (blank) hour(s) less than Ed to go up all the way and come back down.
Answer:
Step-by-step explanation:
The maximum height of the mountain is 1000 feet. Jeff takes 10 hour(s) less than Ed to go up all the way and come back down
You are saving money for a summer camp that costs $1800. You have saved $500 so far, and you have 14 more weeks to save the total amount. What are the possible average amounts of money that you can save per week in order to have a total of at least $1800 saved?
Answer:
$92.86
Step-by-step explanation:
Since it's AT LEAST 1800, the inequality sign would be ≥ 1800
Equation:
500 + 14x ≥ 1800
14x ≥ 1800 - 500
14x ≥ 1300
x ≥ 92.86
Shape R is reflected in
a) What are the coordinates of C'?
Then R' is translated by (-3)
-6
R
=
-5 -4 -3 -2 -1
b) What are the coordinates of C"?
Y
5+
4-
3-
2+
1
- 1 to give R'.
-1-
-2-
--3-
-4-
--5+
1
to give R".
2
3 4
sit
5
X
The new coordinates of C is (-5,2), (-5,5) (-7,3) (-7,5)
The correct question is
Shape R is reflected in x axis and is translated by (-3, 0) , What will be the coordinates of the new figure
The figure is attached with the answer.
What happens when a figure is reflected on an axis ?When a figure is reflected along any axis , the coordinate of the axis on which it is reflected remains the same while the other coordinate vis the additive inverse of the given coordinate
It is given that the coordinate point of R
(-2 ,-2) , (-2,-5) (-4,-3) (-4,-5)
When it is reflected along x axis the new coordinates are
(-2 , 2), (-2,5) (-4,3) (-4,5)
and when translated by -3,0
(-5,2), (-5,5) (-7,3) (-7,5)
Therefore the new coordinates of C is (-5,2), (-5,5) (-7,3) (-7,5)
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What is the term in mathematics for the operation or number that leaves others unchanged when combined with them? In multiplication, it is one, while in addition, it is zero?
The term is called an identity element. In multiplication, the identity element is one because any number multiplied by one results in the same number. In addition, the identity element is zero because any number added to zero results in the same number.
The term in mathematics for the operation or number that leaves others unchanged when combined with them is called the identity element.
It is also known by the name of neutral element.
In multiplication, the identity element is one (1) because when you multiply a number by one the result remains the same as the original number. For any number a,
a1=1a=a.
While in addition, the identity element is zero (0) because when you add zero to a number, the result remains the same as the original number. For any number a,
a+0=0+a=a.
There is no identity element for subtraction, and division only has an identity element for certain sets.
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What is the domain and range of each relation?
Answer:
Table:
Domain: {-1, 3, 6}
Range: {4, 5, 6}
Set of coordinates:
Domain: {-4, -3, 1}
Range: {1, 3, 4}
Sara is hiring a babysitter who charges $20 per hour plus a $10 travel fee. What equation represents y, the amount of money the babysitter will charge for x hours of service? *
Answer:
20x+10=y
Step-by-step explanation:
kerry has a box of chocolates which are all flavoured with either mint or toffee. The possible outcomes of Kerry picking two chocolates at random are shown on the tree diagram below.
If both chocolates are the same flavour, what is the probability that they are both toffee?
Give your answer as a fraction in its simplest form
The statement predicts that 3/28 will be the answer.
How big is the probability universe?In regard to quantitative measurements ranging from zero to one, the probability theory offers a way to estimate the possibility of occurrence of various occurrences coming from a random experiment. A certain occurrence has a probability of one while an impossible event has a probability of zero.
Which four forms of probability are four?Probability is the study of random events in mathematics, and it can be classified into four main categories: logical, classic, empirical, and subjective.
According to what they meant:
the first chocolate toffee 3/8
Toffee chocolate number two: 2/7
So, 3/8 × 2/7 = 6/56 = 3/28
Thus, 3/28 is the correct response.
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In your reservoir, you have a production well which flows for 48 hours at 200 STB/day, and then shut-in for 24 hours. The following additional data are given : Pi = 3100 psi Ct = 15x10^-6 psi^-1 Bo = 1.3 bbl/STB ϕ = 15% μ=1.2 cp K = 45 md and h = 60 ft
a-) Calculate the pressure in this production well at 12 hours of shut in
b-) Explain how can you use superposition in time to analyze a pressure build-up test.
a) To calculate the pressure at 12 hours of shut-in:
substitute the given values into the pressure buildup equation and solve for P(t=12).
b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.
We have,
a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:
P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))
Where:
P(t) = Pressure at time t
Pi = Initial reservoir pressure
Q = Flow rate
K = Permeability
h = Reservoir thickness
ϕ = Porosity
μ = Viscosity
Ct = Total compressibility
t = Shut-in time (12 hours)
Δt = Time since the start of the flow period
Bo = Oil formation volume factor
ΔP = Pressure drop during the flow period
Given:
Pi = 3100 psi
Q = 200 STB/day
K = 45 md
h = 60 ft
ϕ = 15%
μ = 1.2 cp
Ct = 15x10^-6 psi^-1
Bo = 1.3 bbl/STB
t = 12 hours
Δt = 48 hours
ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))
Substituting the given values into the equation:
ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))
After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.
b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.
It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.
The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.
Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.
It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.
Thus,
a) To calculate the pressure at 12 hours of shut-in:
substitute the given values into the pressure buildup equation and solve for P(t=12).
b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.
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WILL GIVE BRAINLIEST (PLEASE SHOW WORK)
Evaluate sec (11pi/6) without using technology