All the options that have the value = 0 include the following:
sin 0 = 0 . That is option C.
sin 3π/2 = 0. That is option D.
tan π = 0. That is option E.
What is equivalent values?A value is said to be equivalent to another expression or value when they are alike or the same when solved to the simplest form.
Cos π/2 = 0.9999 = 1 . Therefore not equivalent to 0.
Cos 0 = 1. Therefore not equivalent to 0.
sin 0 = 0. Therefore it is equivalent to 0.
Sin 3π/2 = 0.1. Therefore it is equivalent to 0.
tan π = 0.1. Therefore it is equivalent to 0.
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what is the sum for this x^2-14z+40? and find the factored form too.
To find the sum of the terms in the expression x^2 - 14z + 40, we add together the coefficients of the like terms.
The sum of the terms is:
1 + (-14) + 40 = 27
So, the sum of the terms in the expression x^2 - 14z + 40 is 27.
To find the factored form of the expression, we need to factorize it into its simplest form.
The factored form of x^2 - 14z + 40 is:
(x - 4)(x - 10)
So, the factored form of the expression x^2 - 14z + 40 is (x - 4)(x - 10).
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Please help with this, will mark brainliest!!! :D
Answer:
the 3rd one
Step-by-step explanation:
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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LWhat's the slope of the line connecting (1, 3) to (4, -2)? (You may enter your answer as a fraction. Otherwise, round
your answer to 2 decimal places.)
Answer:
-5/3
Step-by-step explanation:
Let's use the formula \(S = \frac{rise}{run}\)
We can rewrite this as \(S = \frac{y_{1}-y_{2}}{x_1-x_2}\)
The points we have are (1, 3) and (4, -2)
Now we just insert them into the equation and solve:
\(\frac{3-(-2)}{1-4}=\\\frac{5}{-3}=\\-\frac{5}{3}\)
Which equation represents this sentence?
Five times the difference of a number and one is equal to ten.
5−n=10
5(n−1)=10
5(n+1)=10
5n−1=10
researchers wish to test the effect of maternal smoking during pregnancy on the birthweight of the infant. they collect information on the average number of cigarettes smoked per day and the birthweight of the infant in grams. what would be the best statistical test for them to utilize?researchers wish to test the effect of maternal smoking during pregnancy on the birthweight of the infant. they collect information on the average number of cigarettes smoked per day and the birthweight of the infant in grams. what would be the best statistical test for them to utilize?
Answer:
The best statistical test to use in this scenario would be a linear regression analysis.
Step-by-step explanation:
The best statistical test to use in this scenario would be a linear regression analysis.
This would allow the researchers to model the relationship between the average number of cigarettes smoked per day and the birthweight of the infant, and to determine whether there is a significant association between these variables.
They could also use the regression model to estimate the effect of smoking on birthweight, while controlling for other relevant factors such as maternal age, socioeconomic status, and prenatal care.
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The length of a side of a triangle is 26 in. A line, parallel to the given side ,divides the triangle into 2 parts of equal areas. Find the length of the segment cut from the line by the two other sides of the triangle
Answer:
13√ 2
Step-by-step explanation:
√ 26*(26/2)
=√ 26*13 = √ 338 = 13√ 2
The length of the segment cut from the line by the two other sides of the triangle is \(13\sqrt{2\)
The length of the side is given as:
L= 26 inches
The length (d) of the line that divides the segment is calculated as:
\(d = \sqrt{(L/2)^2 + (L/2)^2\)
So, we have:
\(d = \sqrt{(26/2)^2 + (26/2)^2\)
Evaluate the quotients
\(d = \sqrt{13^2 + 13^2\)
Rewrite the expression as:
\(d = \sqrt{13^2* 2\)
Take the square root
\(d = 13\sqrt{2\)
Hence, the length of the segment is \(13\sqrt{2\)
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Consider the curve given by the parametric equations x=t(t2−192),y=8(t2−192) a.) Determine the point on the curve where the tangent is horizontal. t= b.) Determine the points t1,t2 where the tangent is vertical and t1
a) The point on the curve where the tangent is horizontal is at t = 0.
b) The points where the tangent is vertical are at t₁ = -5 and t₂ = 5.
To find the points on the curve where the tangent is horizontal, we need to find the values of t that satisfy dy/dt = 0.
a.) Differentiating y = 3(t² - 75) with respect to t, we get:
dy/dt = 6t
Setting dy/dt = 0, we have:
6t = 0
t = 0
Therefore, when t = 0, the tangent is horizontal.
b.) To find the points where the tangent is vertical, we need to find the values of t that satisfy dx/dt = 0.
Differentiating x = t(t² - 75) with respect to t, we get:
dx/dt = 3t² - 75
Setting dx/dt = 0, we have:
3t² - 75 = 0
t² = 25
t = ±5
Therefore, the points where the tangent is vertical are when t = -5 and t = 5, with t₁ = -5 and t₂ = 5.
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The question is -
Consider the curve given by the parametric equations
x = t (t²-75) , y = 3 (t²-75)
a.) Determine the point on the curve where the tangent is horizontal.
t=
b.) Determine the points t_1,t_2 where the tangent is vertical and t_1 < t_2.
t_1=
t_2=
Find the two errors and solve the problem correctly.
Draw a diagram to show the given information,
Given:
JE is the perpendicular bisector of DF,
H is the midpoint of Je.
His the midpoint of GI
The diagram to fix:
The two errors made are angle 90 was not indicated to be formed at the point of intersection of the bisector and also wrong indication of congruent segments.
The diagram has been fixed. See attachment below for the fixed diagram.
In order to understand the errors in the diagram, note the following:
A perpendicular bisector divides a line segment into two equal halves and also forms a right angle at the point of intersection.
Congruent segments are indicated by equal number of strokes. i.e. small straight lines to indicate congruency.
The TWO ERRORS:
1. There's no indication on the point of intersection that a right angle was formed on both sides of the segment bisected.
2. The equal segments are not well labelled or indicated. arEH and HJe indicated that they are equal using one stroke.
GH and HI is another set of congruent segments that should be indicated with different number of strokes to indicate only both of them are equal segments.
In summary, the two errors made are angle 90 was not indicated to be formed at the point of intersection of the bisector and also wrong indication of congruent segments.
The diagram has been fixed. See attachment below for the fixed diagram.
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Which set has a domain of {1, 5), and a range of {4, 8}?
O {(1,8), (5,4),(4,8)}
O {(1,8), (5,4), (1,4)}
O {(1,5), (4,8)
O {(8,1), (4,5), (4,1)}
Answer:
set {(8,1)),(4,5),(4,7)}
Answer: Choice B
Reason:
The domain is the set of x values
The range is the set of y values
Each point is of the form (x,y). The x always goes first.
5. The number of solutions to |x - 8| + b = c depends on the relationship between b and c How do b and compare if there are two solutions? One solutionNo solution?
Answer:
X= -b+c+8
X= b-c+8
solutions
How do i get A and B ?
Answer:
a=60°
b=300°
Step-by-step explanation:
the triangle is equilateral so all angles are 60 °
a = 60°
b=360 - 60 =300°
Answer:
A is 60°, B is 300°
Step-by-step explanation:
If you look closely, you can tell that this circle is divided into 6 triangles, but there is only one showing. This triangle is 1/6 of the circle.
You can find B by find 1/6 of 360° and subtracting that from 360, (a full circle is 360°)
1/6 of 360° is 60°
360° - 60° = 300°, so B is 300°
Now lets find A. Triangles are 180°. This triangle is obviously an equilateral triangle, so the measurements will all be the same.
180 ÷ 3 is 60, so A is 60°
I hope this helped, please mark Brainliest, thank you!
Find the area of the circle. Use 3.14 for pi. Round to the nearest unit. A circle has a diameters of 18 centimeters. A. 1,017 cm2 B. 254 cm2 C. 57 cm2 D. 28 cm2 2 / 5
Answer:
B. 254 cm²
Step-by-step explanation:
Hello!
CircleThe formula for the area of a circle is \(A = \pi r^2\)
A is areaπ is pi (roughly 3.14)r is the radiusThe radius is half of the diameter, given with the formula \(D = 2r\)
AreaUsing the information, we can first solve for the radius.
\(D = 2r\)\(18 = 2r\)\(9 = r\)The radius is 9
Now we can plug 9 into the area formula:
\(A = \pi r^2\)\(A = \pi (9^2)\)\(A = 81\pi\)We are going to use 3.14 for pi
\(A = 81(3.14)\)\(A = 254.34\)The area is 254.34cm².
We are going to round to the nearest whole centimeter, which is roughly 254cm² or \(\boxed{\text{Option B}}}\)
Evaluate: 5^-2 =
????
Answer:
1/25Step-by-step explanation:
5^-2=1/(5^2)=1/25
The vertices of a triangle are A(-1,4), B(4, 5),
and C(6, -2). After a dilation with center (0,0)
and a scale factor of 3, the vertices are translated
T(-2,5).
a. Is the image congruent to the original triangle?
Is the image similar to the original triangle?
b. What are the vertices of AA'B'C', the final
image?
Answer:
sim tem final sim amigo se eu erra mi disputa por favor
Help please I'm trying beat my score???
Answer: 180 once
Step-by-step explanation:
Of the following probability distributions, which are always symmetric: normal, Student's t, chi-square, F? (Select all that apply.)
Normal distribution
Student's t distribution
Chi-square distribution
F distribution
All of these distributions
None of these distributions
Among the probability distributions listed, the normal distribution is the only one that is always symmetric.
The normal distribution is a continuous probability distribution that is symmetric around its mean. Its probability density function (PDF) has a bell-shaped curve with the peak at the mean, and the distribution is symmetric on both sides. This means that the probability of observing a value to the left of the mean is the same as the probability of observing a value to the right of the mean, resulting in a symmetric distribution. Regardless of the specific parameters of the normal distribution, such as the mean and standard deviation, its shape remains symmetric.
On the other hand, the other distributions listed—Student's t distribution, chi-square distribution, and F distribution—are not always symmetric.
The Student's t distribution is also symmetric, but its symmetry depends on the degrees of freedom (df) parameter. When the degrees of freedom are equal to or greater than 2, the distribution is symmetric. However, when the degrees of freedom are less than 2, the distribution is not symmetric. Therefore, while the Student's t distribution can be symmetric under certain conditions, it is not always symmetric.
The chi-square distribution is not symmetric. It is a positively skewed distribution with a longer right tail. The shape of the chi-square distribution depends on the degrees of freedom parameter. As the degrees of freedom increase, the distribution approaches a normal distribution in shape, but it remains positively skewed for smaller degrees of freedom.
The F distribution is also not symmetric. It is a right-skewed distribution with a longer right tail. The shape of the F distribution depends on the degrees of freedom parameters for the numerator and denominator. As the degrees of freedom increase, the distribution becomes less skewed, but it remains right-skewed.
To summarize, among the probability distributions listed, only the normal distribution is always symmetric. The Student's t distribution, chi-square distribution, and F distribution are not always symmetric and their symmetry depends on the specific parameters involved.
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Which expression gives the volume of a sphere with radius /?
O A. (7³)
OB. 4(7²)
O C.
(7²)
O D. 4 (7³)
The expression that gives the volume of the Sphere with radius 7 is (4/3)π(7³) , the correct option is (a) .
In the question ,
it is given that
the radius of the sphere is 7 .
we need to find the expression that represents the Volume of the Sphere when radius is 7 .
the formula for the Volume of the Sphere is (4/3)π(r³) .
Substituting the value of radius = 7 , in the formula ,
we get ,
Volume = (4/3)π(7³)
Therefore , The expression that gives the volume of the Sphere with radius 7 is (4/3)π(7³) .
The given question is incomplete , the complete question is
Which expression gives the volume of a sphere with radius 7 ?
(a) (4/3)π(7³)
(b) (4/3)π(7²)
(c) 4π(7²)
(d) 4π(7³)
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A white blood cell has a diameter of approximately 12 micrometers, or 0.012 um. A model represents its diameter as 24 m. What is the ratio of model size to actual size? A. 200:1 B. 1:200 C. 2,000:1D. 1:2,000
It is given that,
The diameter of a white blood cell is 12 micrometers
The diameter of the white blood cells according to a model is 24 micrometers.
We need to find the ratio of model size to actual size. It can be done as follows :
\(R\text{ = }\frac{\text{ model size}}{\text{actual size}}\text{ = }\frac{24}{12}\text{ = }\frac{2,000}{1}\)So, the correct answer is C.
I'd maggy has 80 fruits and divides them ro twelve
The number of portion with each having 12 fruits is at most 6 portions.
To divide the fruits into 12 portions
Total number of fruits = 80
Number of fruits per portion = 12
Number of fruits per portion = (Total number of fruits / Number of fruits per portion )
Number of fruits per portion = 80/12 = 6.67
Therefore, to divide the fruits into 12 fruits , There would be at most 6 portions.
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Helppp Urgebttt!!!
A ball rolling 600 feet each second would roll how man feet per minute?
a) 10 feet per minute
b) 12,000 feet per minute
c) 36,000 feet per minute
d) 30,000 feet per minute
Evaluate f(a+4)
pls help me w this !
PLSSS HELP IF YOU TRULY KNOW THISSS
Answer:
A
Step-by-step explanation:
5/18 = 0.2777 = 0.27° so when you divided thd no. it is 0.277777 and 7 is repeat .
10 Calculate the missing terms of each arithmetic sequence given below. Each row represents an arithmetic sequence in which the first and
the last term are given.
First term
-20
54
10
Second term
Third term
Fourth term
19
105
-14
The required,
(a) The missing terms of the first sequence are -7, 6, and 19.
(b) The missing terms of the second sequence are 71, 88, and 105.
(c) The missing terms of the third sequence are 2, -6, and -14.
Arithmetic progression is the series of numbers that have common differences between adjacent values
To find the missing terms of each arithmetic sequence, we need to use the formula for the nth term of an arithmetic sequence:
an = a₁ + (n - 1)d
where an is the nth term, a₁ is the first term, n is the number of terms, and d is a common difference.
Sequence 1,
a₁ = -20, an = 19
n = ? (unknown)
d = (an - a1) / (n - 1)
19 = -20 + (n - 1)d
39 = (n - 1)d
d = 39 / (n - 1)
We also know that a₂, a₃, and a₄ are missing, and there are four terms in total. Therefore, n = 4.
d = 39 / (4 - 1) = 13
Using the formula, we can now find the missing terms:
a₂ = a₁ + d = -20 + 13 = -7
a₃ = a₂ + d = -7 + 13 = 6
a₄ = a₃ + d = 6 + 13 = 19
So the missing terms of the first sequence are -7, 6, and 19.
Similarly,
The missing terms of the second sequence are 71, 88, and 105.
The missing terms of the third sequence are 2, -6, and -14.
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Pls pls help me with this essay. I don’t know how to start pls help me I have other homework to do. Just read the question
Answer:
First consider the original amount.
Then consider the rate of tax or markup
To find the tax or markup, multiply the rate by the original amount.
To find the total cost, add the tax or markup to the original amount.
Step-by-step explanation:
Example
A phone has a listed price of $790 before tax. If the sales tax rate is 6.5% find the total cost of the phone with sales tax included. Round your answer to the nearest cent as required.
Solution
Step 1:
List price of the phone = $790
Sales tax rate = 6.5%
Step 2:
Sales tax = 6.5% of 790=0.065×790=51.35
Step 3:
Total cost of phone including sale tax = list price + sales tax
= 790+51.35
= $841.35
hope this helped!
The combined mass of a penny, a nickel, and a dime is 9.8g. Ten nickels and three pennies have the same mass as 25 dimes. Fifty dimes have the same mass as 18 nickels and 10 pennies. Write and solve a system of equations to find the mass of each type of coin.
Let's represent the mass of a penny, nickel, and dime as variables: P for penny, N for nickel, and D for dime. We can create the following system of equations based on the given information:
Equation 1: P + N + D = 9.8 (combined mass of a penny, nickel, and dime is 9.8g)
Equation 2: 10N + 3P = 25D (ten nickels and three pennies have the same mass as 25 dimes)
Equation 3: 18N + 10P = 50D (fifty dimes have the same mass as 18 nickels and 10 pennies)
To solve this system of equations, we can use substitution or elimination method. Let's use the elimination method:
Multiplying Equation 2 by 2: 20N + 6P = 50D
Subtracting Equation 3 from the above equation:
(20N + 6P) - (18N + 10P) = 50D - 50D
2N - 4P = 0
Now, we have two equations:
P + N + D = 9.8
2N - 4P = 0
Let's solve these equations:
From Equation 2, we can express N in terms of P:
N = (4/2)P
N = 2P
Substituting this value in Equation 1:
P + 2P + D = 9.8
3P + D = 9.8 -----(Equation 4)
Substituting the value of N in Equation 4:
3P + D = 9.8
Now we have two equations:
3P + D = 9.8
2N - 4P = 0
From Equation 2, we can rewrite N in terms of P:
2N = 4P
N = 2P
Substituting this value in Equation 3:
18(2P) + 10P = 50D
36P + 10P = 50D
46P = 50D
Now, we have three equations:
3P + D = 9.8
46P = 50D
N = 2P
To find the values of P, N, and D, we need one more equation or given condition to solve the system. As the given information doesn't provide any more equations, we cannot determine the exact values of P, N, and D without additional information.
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This table shows the relationship between x and y.
Great questions! Now, I'll tell you:
First, perform a rotation 90 degrees clockwise.
Then. translate the figure 1 unit left and 3 units down.
Drag the green points to reflect the new shape. What are points K', L', M', and N'?
Answer:
answer:
the answer is -5
step-by-step explanation:
for an instance you lost 3 fingers of your one hand only to lose the other two then you won't have any finger in one hand therefore you have 5 less (-5) fingers. charot
Which of the following is the value of a when the function f(x) = 3|x| is written in the standard form of an absolute value
function?
-1
-3
1
3
\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Modulus functions.
Since here, the value of h and k are zero,hence
the value of the function f(x) = 3|x| is 3
====> answer is 3
what is the answer to 1/3(21y+39)= -36