Answer:
because MATH is a rhombus
=> MA = MH = HT = AT
=> y + 10 = 5y - 6
⇔ 4y = 16
⇔ y = 4
with y = 4 => MH = 4 + 10 = 14
but MH = MA
=> MA = 14
Step-by-step explanation:
Answer:
MA=14
Step-by-step explanation:
a rhombus has 4 equal sides so:
y+10=5y-6
subtract y from both sides
10=4y-6
add 6 to each side
16=4y
divide each side by 4
y=4
MA=y+10 because rhombus
MA=4+10
MA=14
Trichloroethylene (TCE, C₂HC13) is a well-known pollutant in soils and groundwater in many places, including Mountain View, CA. One major concern is that TCE volatilizing into the air in houses from the surrounding soil can cause unhealthful indoor concentrations. This so-called "vapor intrusion" is a common problem in this region. One report states that shallow groundwater concentrations of TCE of 110 ppm have been measured. The healthful standard for airborne TCE is 25 ppm (long-term exposure), and 200 ppm (short-term exposure)
Let's consider a one-story bungalow with area Ah =10 m x 10 m (about 1000 sq ft) and a ceiling h = 4 m high, and the vapor comes in only through the floor. In order to maintain the house at acceptable levels of TCE, we will use a fan to ventilate the house.
(a) If the groundwater is in equilibrium with air in your house, does this air exceed either health standard? The dimensionless Henry's Law Constant for TCE at 20°C is HT=0.4.
(b) The flux of TCE through the floor of your house can be given by FT = k(c+ - CT) where k is a measured constant with value 106 m/s that depends on things like the type of walls in your house, the porosity of the soil, etc.; ct is the equilibrium air concentration of TCE (from part a); and CT is the concentration of TCE in the air in the house. The normal strategy for remediating vapor intrusion is to install fans in the house that ventilate the house with outside air with a throughput of Q, in units of m³/hour. Assume that the outside ambient air has a TCE concentration of ca ("a" is for ambient). Write a budget equation for TCE, i.e. dct/dt =< stuff >. You do NOT have to integrate this equation!
(c) Using the budget equation from (b), what is the equation for the characteristic time 7 for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation? Then substitute numbers to compute a value for T. Is a large or small value of 7 indicative of a significant TCE problem? (d) Assuming we want to keep CT below 20 ppm, compute the minimum value of Q. Compare your answer to Q = 40 cfm (cubic feet per minute), which is the residential requirement by law.
(a) Yes, the air in the house would exceed the long-term health standard if the groundwater is in equilibrium with the air in the house.
(b) The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT).
(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.
(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm.
(a) The Henry's Law constant for TCE is 0.4, which means that the concentration of TCE in air at equilibrium with water is 40% of the concentration in water. The groundwater concentration is 110 ppm, so the equilibrium air concentration would be 44 ppm. This exceeds the long-term health standard of 25 ppm.
(b) The flux of TCE through the floor is given by FT = k(c+ - CT), where k is a measured constant, c+ is the concentration of TCE in the groundwater, and CT is the concentration of TCE in the air in the house. The normal strategy for remediating vapor intrusion is to install fans in the house that ventilate the house with outside air. The outside ambient air has a concentration of ca. The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT), where dct/dt is the rate of change of the concentration of TCE in the house, k is the flux constant, c+ is the concentration of TCE in the groundwater, CT is the concentration of TCE in the air in the house, Q is the ventilation rate, and ca is the concentration of TCE in the outside air.
(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q, where Ah is the area of the house, k is the flux constant, and Q is the ventilation rate. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.
(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm. The difference is due to the fact that the groundwater concentration is much higher than the ambient air concentration.
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Can someone help me please
Subtract − 5 x 2 + 7 x + 1 −5x 2 +7x+1 from 8 x 2 + x − 10 8x 2 +x−10
Answer:
75x^2+12x-14
Step-by-step explanation:
75x^2+12x-14
Question 7 of 10
Solve 4x + 6 = 16.
о
A. x = 2 and x = -2
B. x 2 and x = -10
C. x =
-2 and x = 10
D. x = -2 and x = -10
What is the RACI matrix?
a. Resource Allocation & Cost Inventory matrix
b. Matrix of Responsible and Certified Individuals
c. Responsible, Accountable, Consult & Inform matrix
d. Recently Added Control Incident reporting matrix
The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.
c. Responsible, Accountable, Consult & Inform matrix
The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.
The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.
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This is a really hard question- Help
Answer:
680
Step-by-step explanation:
x = total number
.6x = bus riders = 408 (.6 is decimal for 60%)
.6x = 408
x = 408/.6 = 680
What is the area of a parallelogram if the coordinates of its vertices are (0, -2), (3, 2), (8, 2), and (5, -2)?
A. 12
B. 15
C. 20
D. 24
I will give 30 and brainliest for a good answer
Answer:
The answer is 24.
Step-by-step explanation:
I graphed it out, and calculated it and this is what I got. I am terribly sorry if this is wrong. Please forgive, but I think it is right.
Answer:
D
Step-by-step explanation:
How to multiply 3 digit numbers by 2 digit numbers without regrouping?.
Multiply the number in the one's place, Multiply the number in the ten's place and multiply the one's and ten's place with the hundred place number, then add them up.
Follow along with example 343 × 32:
Place one number above the other so that the ones' place digits and tens' place digits are lined up. Mark a line just below the bottom number.
3 4 3
×3 2
_______
Multiply the ones' place digits (2 × 3 = 6), one's place of the second number by the ten's place of the first number (2 × 4 = 8), and one's place of the second number by the hundred place of the first number (2 × 3 = 6). Place the 6 below the line in the ones' place column, 8 below the line in the tens' place column and 6 below the line in the hundred place column.
3 4 3
×3 2
________
6 8 6
Multiply the digit in the tens' place column (3) by the digit in the ones' place of the first number (3). The result is 3 × 3 = 9; multiply the digit in the tens' place column (3) by the digit in the tens' place of the first number (4). The outcome is 3 × 4 = 12, and multiply the digit in the tens' place column (3) by the digit in the hundred place of the first number (3). The outcome is 3 × 3 = 9. Now add the numbers and place the answer below the line.
3 4 3
×3 2
__________
6 8 6
10 2 9×
__________
10 976
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Suppose that a game has the following payoff matrix (a) R plays [ 5 .5 ].C plays 5 С .5 .5 6 - 3 (b) R plays [ 10 ], C plays 5 8 5 8 2 Calculate the expected values for the following (C) R plays [ 37 ],C plays strategies and determine which of the following situations is most advantageous to R. (d) R plays [ .75 25 ], C plays с [:] .3 .7 (a) The expected value is
The required answers are:
a) The expected value for R is 5, and for C is 3.25.
(b) The expected value for R is 10, and for C is 14.
(c) The expected value for R is 11.1, and for C is 0.21.
Based on the calculated expected values, situation (b) where R plays [10] and C plays [5, 8, 5, 8, 2] is most advantageous to R, as it yields the highest expected value for R.
To calculate the expected values for each strategy in the given situations, we multiply each payoff by the corresponding probability and sum them up. Let's calculate the expected values for each situation:
(a) R plays [5, 5]. C plays [0.5, 0.5, 6, -3].
Expected value for R:
E(R) = 5 * 0.5 + 5 * 0.5 = 2.5 + 2.5 = 5
Expected value for C:
E(C) = 0.5 * 0.5 + 0.5 * 6 = 0.25 + 3 = 3.25
(b) R plays [10]. C plays [5, 8, 5, 8, 2].
Expected value for R:
E(R) = 10 * 0.5 + 10 * 0.5 = 5 + 5 = 10
Expected value for C:
E(C) = 5 * 0.5 + 8 * 0.5 + 5 * 0.5 + 8 * 0.5 + 2 * 0.5 = 2.5 + 4 + 2.5 + 4 + 1 = 14
(c) R plays [37]. C plays [0.3, 0.7].
Expected value for R:
E(R) = 37 * 0.3 = 11.1
Expected value for C:
E(C) = 0.3 * 0.7 = 0.21
On Comparing the values
(a) The expected value for R is 5, and for C is 3.25.
(b) The expected value for R is 10, and for C is 14.
(c) The expected value for R is 11.1, and for C is 0.21.
Based on the calculated expected values, situation (b) where R plays [10] and C plays [5, 8, 5, 8, 2] is most advantageous to R, as it yields the highest expected value for R.
Hence, the required answers are:
a) The expected value for R is 5, and for C is 3.25.
(b) The expected value for R is 10, and for C is 14.
(c) The expected value for R is 11.1, and for C is 0.21.
Based on the calculated expected values, situation (b) where R plays [10] and C plays [5, 8, 5, 8, 2] is most advantageous to R, as it yields the highest expected value for R.
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The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed, given that the null hypothesis is true.
Select one:
True
False
The statement "The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed, given that the null hypothesis is true." is true.
The p-value is a measure of the evidence in favor of the null hypothesis in statistical hypothesis testing. The null hypothesis is rejected if the p-value is less than the specified significance level. If the p-value is higher than the specified significance level, the null hypothesis is not rejected.
The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed, given that the null hypothesis is true.
The p-value can be used to make decisions about whether to reject or fail to reject the null hypothesis, but it cannot prove that the null hypothesis is true.
The p-value can also be used to determine the level of significance for a test.
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In a town the bearing of the swimming pool from the bank is 138 degrees. What is the bearing of the bank from the swimming pool?
The bearing of the bank from the swimming pool is 42 degrees south of west.
What is temperature ?
Temperature is a measure of how hot or cold something is. More specifically, it is a measure of the average kinetic energy of the particles that make up a substance. When the particles in a substance move faster, their kinetic energy increases, and the temperature of the substance goes up.
Temperature is usually measured in degrees Celsius (°C) or degrees Fahrenheit (°F), although in scientific contexts, the International System of Units (SI) unit of temperature is the kelvin (K). The Celsius scale sets the freezing point of water at 0°C and the boiling point at 100°C, while the Fahrenheit scale sets the freezing point of water at 32°F and the boiling point at 212°F. The kelvin scale sets the zero point at absolute zero (-273.15°C or -459.67°F), the theoretical temperature at which all molecular motion ceases.
According to given condition:
The bearing of the swimming pool from the bank is 138 degrees.
The bearing is the angle measured clockwise from the north direction.
Therefore, to find the bearing of the bank from the swimming pool, we need to add 180 degrees to the given bearing of 138 degrees and then subtract 360 degrees (a full circle) to get the bearing within the range of 0 to 360 degrees.
So,
Bearing of bank from swimming pool = (138 + 180 - 360) degrees = -42 degrees
Therefore, the bearing of the bank from the swimming pool is 42 degrees south of west.
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If the amount of vat paid by a customer while buyong a bag at 13℅ vat rate rs 143 ,find the cost of bag without vat
Step-by-step explanation:
vat %=13%
vat=143
vat = vat% of sp (i.e sp without vat)
143 = 13/ 100 of sp
143*100=13sp
14300/13 = sp
sp=4766.67
therefore the cost of bag without vat is rs.4766.67
someone please explain how to find the coordinates to the solutions
Check the picture below.
well, the red one is one, now the green one is another and yet if we tiptoe over the circle made by KL we'll always get a right-triangle as you see in the dashed lines, how many? well infinite many.
What is the value of x? Help quick
The value of x is 2 units
The length of the base of the triangle = \(\sqrt{3}\) units
The angle = 60 degrees
Here we have to use the trigonometric function
sin θ = Opposite side / Hypotenuse
cos θ = Adjacent side / Hypotenuse
tan θ = Opposite side / Adjacent side
Use the suitable equation
The hypotenuse of the triangle = x
The opposite side of the triangle = \(\sqrt{3}\) units
Substitute the values in the equation
sin 60 = \(\sqrt{3}\) / x
Move sin 60 to right hand side and x to left hand side of the equation
x = \(\sqrt{3}\) / sin 60
Divide the terms
x = 2 units
Hence, the value of x is 2 units
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In theory, prisoner classification occurs at which of the following stages: A. during transfer to another institution B. in preparation for release C, after an inmate encounters problems D. all of these
In theory, Option D. All of these stages occurs at prisoner classification.
Prisoner classification occurs during transfer, in preparation for release, and after problems occur. All of these stages are important for assessing an inmate's risk and providing appropriate security.
Prisoner Classification ProcessPrisoner classification involves assessing an inmate's risk level and providing an appropriate security level based on the results. This assessment is conducted during various stages, such as during transfer to another institution, in preparation for release, and after the inmate encounters problems. The classification process may involve evaluating an:
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Perpendicular lines are two coplanar lines that intersect to form what type of angle?
Answer:
Perpendicular Line Theorems
Step-by-step explanation:
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. If two sides of two adjacent angles are perpendicular, then the angles are complementary. If two lines are perpendicular, then they intersect to form four right angles.
help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer:
3√2 inches ≈ 4.24 inches
Step-by-step explanation:
You want the length of the side of a square with an area of 18 square inches.
Area formulaThe formula for the area of the square is given as ...
A = s²
SolutionSolving for s, we find ...
s = √A . . . . . take the square root of both sides of the equation
For an area of 18 square inches, the side length is ...
s = √(18 in²) = 3√2 in ≈ 4.24 in
The length of the side of the square is exactly 3√2 inches, about 4.24 inches.
__
Additional comment
Lengths are measured in units of distance (inches).
Areas are measured in units of distance squared (square inches).
Volumes are measured in units of distance cubed (cubic inches).
t/f a measurement scale in which respondents are asked to rank items based on their preferences is called a nominal scale.
A measurement scale in which respondents are asked to rank items based on their preferences is called an ordinal scale, not a nominal scale. the answer is False.
What is statement ?A statement is a declarative sentence that expresses a complete thought or idea and can be either true or false. In other words, a statement is an assertion or a claim that can be evaluated based on its factual accuracy or logical validity.
According to the given information:False.
A measurement scale in which respondents are asked to rank items based on their preferences is not a nominal scale. It is called an ordinal scale.
Nominal scales are used to categorize data into groups or classes based on their attributes or characteristics, such as gender, race, or color. In nominal scales, the categories do not have an inherent order or ranking.
Therefore, A measurement scale in which respondents are asked to rank items based on their preferences is called an ordinal scale, not a nominal scale. the answer is False.
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What is the vertex of f(x)=x^2−10x+16 ?
Answer:
coordinates for vertex are (5, -9)
Step-by-step explanation:
Given
\(a=1\\\\b=-10\\\\c=16\)
using the formula for the x coordinate of the vertex which is \(\frac{-b}{2a}\) it yields:
\(x_{vertex}=\frac{-(-10)}{2}=5\)
We now have the x-coordinates of the vertex, by applying the x coordinate in the equation we get:
\(5^2-(10\times 5)+16\\\\=25-50+16\\\\=-9\)
thus the \(y_{vertex}=-9\)
Thus the coordinates of the vertex should be (5, -9)
solve the equation 8x+10-2x=12+6x-2
Answer:
collect like terms
8x-2x-6x=12-2-10
8x-8x=12-12
Answer is = 0
simplify 2 square root of 160 x^5 y^4
Which angle is coterminal with 140°? A. 500° B. 320° C. -140° D. 490° SUBMIT
Given:
The angle 140 degree.
The co-terminal angles is defined as an angle, where two angle are drawn in the standard position.
It is determine by adding or subtraction 360 degree to each angle.
\(\begin{gathered} \text{add 360}^{\circ}\text{ } \\ 360^{\circ}+140^{\circ}=500^{\circ} \\ \text{subtract 360}^{\circ} \\ 140^{\circ}-360^{\circ}=-220^{\circ} \end{gathered}\)Answer: Positive co-terminal angle of 140 degree is 500 degree.
Option A is correct.
Pls help me ill give brainliest
Do all 3 to get brainliest
Answer:
7. B 8. C 9. C
Step-by-step explanation:
7. y is greater than because the area above the line is shaded and since the line is dashed there it's not greater than or equal to.
8. C provides the correct y values for all of the x values.
9. The point (6, 3) produces -3 ≥ -8 which is the only one that is correct out of all the points provided.
Which of the scatter plots below shows the most accurate line of best fit?
W.
X.
Y.
Z.
A.
X
B.
W
C.
Y
D.
Z
Answer:
WStep-by-step explanation:
\(hii\)
have a nice day ✌️✌️
hope this helps you ✌️✌️✌️
Length of the base of the given triangle is (x+3) units and the perpendicular height is (x-1)units. If the area of the triangle is 10 square units, show that x satisfy the equation x2 + 2x - 23 = 0 Solve above equation and find the value of x to the nearest whole number and calculate the perpendicular height of the triangle. (Take V6 = 2.45)
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
so, in our case we know this is 10 :
(x+3)(x-1)/2 = 10
(x+3)(x-1) = 20
x² - x + 3x - 3 = 20
x² + 2x - 23 = 0
that is exactly the provided equation. so, yes, x satisfies it.
the general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -23
x = (-2 ± sqrt(2² - 4×1×-23))/(2×1) =
= (-2 ± sqrt(4 + 92))/2 = (-2 ± sqrt(96))/2 =
= (-2 ± sqrt(16×6))/2 = (-2 ± 4×sqrt(6))/2 =
= -1 ± 2×sqrt(6)
x1 = -1 + 2×sqrt(6) = 3.898979486... ≈ 4
or using sqrt(6) ≈ 2.45
= -1 + 2×2.45 = -1 + 4.9 = 3.9 ≈ 4
x2 = -1 - 2×sqrt(6) = -5.898979486... ≈ -6
or using sqrt(6) ≈ 2.45
= -1 - 2×2.45 = -1 - 4.9 = -5.9 ≈ -6
x2 would give us negative lengths for the triangle, which does not make sense.
so, x = 4 is our solution.
and that makes the height x-1 = 4-1 = 3 units.
consider the arithmetic 2+4+6+8+10+12+14+16+18+20.... and answer the questions that follown
a.(i)T1=........ S1=........
(ii)Express T1 in terms of S1
can anyone please explain
The number z multiplied by the sum of x and y
Answer:
z(x+y)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Z(x+y)
Someone please help me PLEASE.
With explanations.
Answer:
hlo
buddy
msg me on
navneet175285
Step-by-step explanation:
njkmmnu
A policy analyst would like to predict salary from a set of four predictor variables for a sample of 45 athletic trainers. A multiple linear regression analysis was conducted. Complete the following ANOVA summary table for the test of significance of the overall regression model. Except for the P-value, report all answers accurate to 3 decimal places; report the P-value accurate to 4 decimal places. Use a significance level of α=0.05.
Source SS df MS F P-value
Regression 20
Residual 400
TOTAL
What is your decision for the hypothesis test?
Reject the null hypothesis, H0:β1=β2=...=β4=0
Fail to reject H0
What is your final conclusion?
The evidence supports the claim that one or more of the regression coefficients is non-zero
The evidence supports the claim that all of the regression coefficients are zero
There is insufficient evidence to support the claim that at least one of the regression coefficients is non-zero
There is insufficient evidence to support the claim that all of the regression coefficients are equal to zero
To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.
From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.
Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.
Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:
df for regression = k - 1 = 4 - 1 = 3
df for residual = n - k = 45 - 4 = 41
Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.
MS for regression = SS for regression / df for regression = 20 / 3
MS for residual = SS for residual / df for residual = 400 / 41
Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.
F = (MS for regression) / (MS for residual)
Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.
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need help quick! no random answers pls
For this problem, just try substituting in the values. I'll give you an example problem so you can do this on your own. However, this looks like an exam. If you wouldn't mind, please share whether or not this is an exam, and I can help you if it is homework. :)