Answer:
B, 1/7
Step-by-step explanation:
divide numerator and denominator by 8
Answer:
It would be \(\frac{1}{7}\)
How many fluid ounces in a tablespoon
By rewriting a relation we will see that there are 0.5 fluid ounces in a tablespoon.
How many fluid ounces are in a tablespoon?We know the relation between the different units:
1 fluid ounce = 2 tablespoons.
To see how many fluid ounces are in a tablespoon, we just need to work with the relation above and write "1 tablespoon" on the right side.
So if we take our relation:
1 fluid ounce = 2 tablespoons.
And we divide both sides by 2 then we will get:
1/2 fluid ounce = 2/2 tablespoons.
0.5 fluid ounces = 1 tablespoon.
then we can conclude that there is 0.5 fluid ounces in a tablespoon.
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What is the complete factorization of the polynomial below?
x3 + 3x2-x-3
Step-by-step explanation:
\(( {x}^{2})(x + 3) - (x + 3)\)
\((x + 3)( {x}^{2} - 1) \)
\((x - 1)(x + 1)\)
\((x - 1)(x + 1)(x + 3)\)
Hope this is correct and helpful
HAVE A GOOD DAY!
Answer:
(x+1) (x-1) (x+3)
Step-by-step explanation:
. .....................
geometry module 9 DBAGeometry Module 9 DBA Be sure to show and explain all work.Part 1 ApplicationA semi-circle window can be used above a doorway or as an accent windowin a room to allow more light in large rooms. The semi-circle window in yourhome theater room lets too much light in so that the movie experience is notoptimal at any time of the day.You research and find there are "room darkening" blinds and shades forsemi-circle windows. You can't quite reach the semi-circle window tomeasure but you are able to measure the window beneath. The height of the
Solution
- To understand the question, we can draw a figure of the window as follows:
- The area of the figure above is simply the addition of the area of the semicircle and the area of the rectangle.
- The semicircle has a diameter of 50 inches and the rectangle has dimensions of 50 inches by 85 inches.
- Thus, we can find the area of the semicircular window as follows:
\(\begin{gathered} A=A_S+A_R \\ where, \\ A_S=\text{ Area of the semicircle} \\ A_R=\text{ Area of the rectangle} \\ \\ \text{ Area of a semicircle is given by:} \\ A_S=\frac{1}{2}\pi\times(\frac{d}{2})^2\text{ \lparen}d=\text{ diameter\rparen} \\ \\ \\ \text{ Area of rectangle is given by:} \\ A_R=l\times w \\ where, \\ l=length \\ w=width \\ \\ \text{ Thus, we have:} \\ A=\frac{1}{2}\pi\times(\frac{50}{2})^{^2}+(85\times50) \\ \\ \therefore A=981.7477+4250 \\ \\ A=5231.7477in^2 \end{gathered}\)Final Answer
The area is 5231.7477square inches
What is 11/12 divided by 1/3? In fractions :)
Answer:
\(\frac{11}{36}\) or Decimal: 0.305556
Step-by-step explanation:
Answer:
2 3/4 or 11/4
Step-by-step explanation:
11/12 / 1/3
keep change flip
11/12 x 3/1 = 33/12 /3 = 11/4
11/4 = 2 3/4
What are the 5 properties of a triangle?
Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.
1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.
3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).
4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.
5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.
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The five properties of triangle is listed below.
The term triangle is defined as the polygon with three angle, sides and vertices.
Here we have to list down the properties of triangle.
The basic five properties of triangle are as follows:
1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.
2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.
3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.
4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.
5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.
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23 - 2x = 10 ??!! HELP PLSS
x = 6.5
Explanation:
\(\sf 23 - 2x = 10\)
subtract 23 from both sides
\(\rightarrow \sf 23-2x-23=10-23\)
simplify the following
\(\rightarrow \sf -2x=-13\)
divide both sides by -2
\(\rightarrow \sf \dfrac{-2x}{-2}=\dfrac{-13}{-2}\)
simplify
\(\rightarrow \sf x=\dfrac{13}{2}\)
in decimals
\(\sf \rightarrow x = 6.5\)
Recheck the following
\(\hookrightarrow \mathrm{23 - 2(6.5) = 10}\)
\(\hookrightarrow \mathrm{23 -13 = 10}\)
\(\hookrightarrow \mathrm{10 = 10}\)
L.H.S = R.H.S thus. x = 6.5
Please help!! ill give 20pts
1) y=x2+24x+43
find the vertex form by completing the square SHOW ALL WORK!!!
2) Given the function f(x)=−x2+8x+9, state whether the vertex represents a minimum or maximum point for the function. Explain your answer.
Answer:
1. Vertex is (-12, -101)
2. Vertex is (4, 25)
Step-by-step explanation:
1)
\(y = x^{2} + 24x + 144 + 43 - 144\\ = (x + 12)^{2} - 101\)
Vertex is (-12, -101)
2)
\(y = -x^{2} + 8x + 9\\ = -(x^{2} - 8x + 16) +9 + 16\\ = -(x - 4)^{2} + 25\)
Vertex is (4, 25)
Line 1 and line 2 are shown on the graph. Use the graph to answer the remaining test questions.
Write a system of linear equations representing lines 1 and 2?
The system of linear equations representing lines 1 and 2 is y = x and y = -1/2x + 3
Write a system of linear equations representing lines 1 and 2?from the question, we have the following parameters that can be used in our computation:
The graph
A linear equation is represented as
y = mx + c
Using the points, we have
Line 1
y = x
For line 2, we have
y = mx + 3
Next, we have
6m + 3 = 0
This gives
m = -1/2
So, we have
y = -1/2x + 3
Hence, the system of linear equations is y = x and y = -1/2x + 3
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PLS HELP ASAP Read the following stanza from Alfred, Lord Tennyson's poem, "The Charge of the Light Brigade":
"Forward, the Light Brigade!"
Was there a man dismayed?
Not though the soldier knew
Someone had blundered.
Theirs not to make reply
Theirs not to reason why,
Theirs but to do and die.
Into the valley of Death
Rode the six hundred.
In a short paragraph, explain how this stanza is about the theme of duty and why this is significant considering historical events. Provide direct support from the stanza where possible.
In this stanza from Alfred, Lord Tennyson's poem "The Charge of the Light Brigade," the theme of duty is portrayed through the soldiers' unquestioning obedience to their orders.
Despite knowing that someone had made a mistake, the soldiers do not question or reason with their command; their responsibility is to "do and die."
This is significant considering the historical context of the poem, which is the Battle of Balaclava during the Crimean War.
The Light Brigade's blind obedience to their orders led them into a tragic and deadly charge against a heavily fortified enemy.
The stanza emphasizes the importance of duty in a soldier's life and the consequences it can have when orders are flawed.
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A random variable Y has the Density Function
f(y) = { ey, y , 0 0, elsewhere
a. Find E(e3Y/2).
b. Find the Moment Generating Function for Y.
c. Find the V(Y).
(a)the expected value of \(e^(3Y/2)\) does not exist.
The mean of Y does not exist. Therefore, we cannot compute the variance of Y.
a. To find\(E(e^(3Y/2)),\) we need to use the definition of the expected value for a continuous random variable:
E(e^(3Y/2)) = ∫ e^(3y/2) f(y) dy
where f(y) is the given density function. Since f(y) is only non-zero for y > 0, we can restrict our integration to that region:
E(e^(3Y/2)) = ∫ e^(3y/2) ey dy , from 0 to infinity
= ∫_0^∞ e^(5y/2) dy
= (2/5) * e^(5y/2) | from 0 to ∞
= (2/5) * ∞ = ∞
So the expected value of \(e^(3Y/2)\) does not exist.
b. To find the moment generating function for Y, we use the definition:
M(t) = E(e^(tY)) = ∫ e^(ty) f(y) dy
where f(y) is the given density function. For y < 0, f(y) is zero, so we can restrict our integration to the range y ≥ 0:
M(t) = ∫\(_0^∞ e^(ty) ey dy\)
= ∫\(_0^∞ e^((t+1)y) dy\)
= (1/(t+1)) * e^((t+1)y) | from 0 to ∞
= 1/(t+1) * ∞ = ∞ for t < -1
and
M(t) = ∫\(_0^∞ e^(ty) y dy\)
= e^(ty) * y / t | from 0 to ∞
= ∞ for t ≥ 1
Therefore, the moment generating function exists only for -1 < t < 1, and is given by:
M(t) = 1/(t+1) for -1 < t < 1.
c. To find the variance of Y, we first need to find the mean or expected value of Y:
E(Y) = ∫ y f(y) dy
= ∫\(_0^∞ y^2 dy\)
= ∞
So the mean of Y does not exist. Therefore, we cannot compute the variance of Y.
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Select all the true statements.
A. 2 + (−2) is equal to zero.
B. (−3) + (−4) is positive.
C. −2 − (− 2) is positive.
D. 5 + (−2) is positive .
E. 7 − (−10) is negative.
Answer:
A and D
Step-by-step explanation:
Answer:
A. 2 + (−2) = 2 - 2= 0, true.
B. (−3) + (−4) = - 3 - 4 = -7 is negative, False
C. −2 − (− 2) = -2 + 2 = 0, neither positive nor negative, false.
D. 5 + (−2) = 5 - 2 = 3,is positive true.
E. 7 − (−10)= 7 + 10 = 17 is psoitive, false
options : A, D
How to calculate this question?
Answer:
if you use perimeter area you can get answer
what is the dc impedance of the electrode, assuming that it behaves as an ideal capacitor? 0 2–√×104ω2×104ω 2–√×106ω2×106ω infinite
An ideal capacitor has a capacitive reactance that is inversely proportional to the frequency of the applied voltage. The DC impedance of the electrode, assuming it behaves as an ideal capacitor, is zero. Therefore, the DC impedance of the electrode would be infinite.
An ideal capacitor has a capacitive reactance that is inversely proportional to the frequency of the applied voltage. At DC (zero frequency), the capacitive reactance of the capacitor becomes infinitely high, and thus, it behaves like an open circuit. Therefore, in DC circuits, capacitors are considered as open circuits, and their impedance is zero. So, in this case, the electrode behaves as an ideal capacitor, and its DC impedance is zero.
If the electrode behaves as an ideal capacitor, its DC impedance is infinite. This is because a capacitor does not allow direct current (DC) to pass through it, only allowing the flow of AC current. The impedance of a capacitor is given by 1/(jwC), where j is the imaginary unit, w is the angular frequency, and C is the capacitance. At DC (w=0), the impedance of the capacitor becomes infinite, since any current attempting to flow through the capacitor is blocked. Therefore, the DC impedance of the electrode, assuming it behaves as an ideal capacitor, is infinite.
If an electrode behaves as an ideal capacitor, it means that it does not allow the flow of direct current (DC). Therefore, the DC impedance of the electrode would be infinite.
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A garden measuring 1515 by 2424 feet is to be completely bordered by a fence. Fencing costs $2$2 per foot. What is the total cost to fence the entire garden?$360.00$360.00$78.00$78.00$39.00$39.00$156.00
The entire garden needs to be fence for a total of $156.
Given that,
A fence is required to entirely enclose a garden that is 15 by 24 feet in size. Each foot of fencing costs $2.
To find : The overall cost of fencing the garden?
Dimensions are given by 15 feet and 24 feet
Cost per foot is $2
Total perimeter of garden is given as 2(l+b)
P = 2(l+b)
P= 2(15+24)
P = 78 feet
1 feet = $2
78 feet = 78 * 2 = $156
Therefore, the total cost required to fence the entire garden is $156
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The perimeter is 36.what dose x have to be
how many ways can you make a 5 digit password that can be any number (including zero) or letter (not case sensitive)? 916132832
These work out to 60,466,176 case insensitive combinations of letters.
There are 10 digits 0–9.
The are 26 letters in the modern alphabets.
However, you didn’t specify whether capital and lowercase letters count as the same letter or separate. In the former case, there are 26 letters, in the latter, there are 52.
There is also such a thing as lowercase numbers, but since they aren’t in common standard usage, I won’t count those.
You also didn’t specify that characters couldn’t be repeated, so I am going to assume that the same character can appear multiple times in a 5 character combination.
Also, since the combinations are an alphanumeric string of characters rather than a number, I will assume that leading zeroes are allowed.
So, there are either 36 (10 digits and 26 letters).
To find the number of combinations you multiply the number of possibilities for each character;
36 x 36 x 36 x 36 x 36
These work out to 60,466,176 case insensitive combinations of letters.
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which of the following points are on the graph of f(x)=2x^2 -5? select all that apply.
Answer:
without the answer choices I can't give an awnser but I can tell you anything less then -5 will not be on there and if you are given a point of (x,y) then you can put in the x value and if it gives you that y value it will be correct
Jessica rented 1 video game and 3 movies for a total of 11.50$. the video game cost 4.75$ to rent the movies cost the same amount each to rent. what amount, in dollars, did Jessica pay to rent each movie
Answer:
It costs 2.25 to rent a movie
Step-by-step explanation:
11.50-4.75=6.75
6.75/3=2.25
Assume the given general functional form; what is Y in the following linear regression? Y=α0+α1×1+α2×2+ε error term/residual intercept dependent variable independent variable
Y in represents the following in this linear regression Y = α₀+α₁X+α₂X₂+ε: C. dependent variable.
What is a regression line?In Mathematics and Geometry, a regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line simply refers to a line which best fits a set of data.
In Mathematics and Geometry, the general functional form of a linear regression can be modeled by this mathematical equation;
Y = α₀+α₁X+α₂X₂+ε
Where:
Y represent the dependent variable.x represent the independent variable.ε represent the error term or residualα₀ represent the intercept or initial value.In conclusion, Y represent the dependent variable or response variable in a linear regression.
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PLEASE HELPPPPPPPPPPP a nuclear disaster at Chernobyl in April 1986, approximately 12,600 kg of radioactive iodine-131 was released into the atmosphere. Iodine-131 is know to decay by half every 8 days. How many kilograms of iodine-131 remained after 24 days?
Answer:
1575 kg
Step-by-step explanation:
Decay rate formula =
N(t) = No(1/2)^t/t½
No = Initial amount = 12600kg
N(t) = Amount after time t
t½ = half life = 8 days
t = time = 24 days
N(24) = 12600 × (1/2)^24/8
1575kg
Why is -1 3/10 as an improper fraction -13/10? Wouldn’t it be -7/10 because -1 * 10 + 3 is -7/10?
Answer:
-13/10
Step-by-step explanation:
It wont be -7/10 because to change a mixed number to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.
(2/11x-3-5y)+(-3/11x+5y+5.5) what is the answer for this I need help quick I'm in math
-x/11+8.5
hope it's helpful ❤❤❤
THANK YOU.
The Spanish Club is having a potluck lunch where each student brings in a cultural dish. The 10 students randomly draw cards numbered with consecutive integers from 1 to 10. Students who draw odd numbers will bring main dishes. Students who draw even numbers will bring desserts. If Cynthia is bringing a dessert, what is the probability that she drew the number 10?
Answer: The probability is 1/5
Step-by-step explanation: there are 5 even numbers in between 1 to ten and ten is one of them so it would be 1/5 probability hope this helps! :)
The requried probability that she drew the number 10 is 0.2.
What is probability?
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
There are 5 even numbers and 5 odd numbers in the set of integers from 1 to 10. Since Cynthia is bringing a dessert, she must have drawn an even number.
Therefore, the probability that she drew the number 10 is given as,
= 1/5 = 0.2
since there is only 1 even number that is greater than 8 (i.e., 10).
Thus, the probability that she drew the number 10 is 0.2.
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3 4. What is the slope of the line that passes through (-2, 1) and (8,5)?
Answer: 2/5
Explanation: Ask if you want an explanation!
The question gives us two points, (-2, 1) and (8,5), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (5 - 1) ÷ (8 - (-2))
= ⁴/₁₀
= ²/₅
Checking my answer:
We can check to see if the answer is correct by drawing the line and seeing if it passes through both points. If it does, then the slope is correct.
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 1 = ²/₅ (x + 2)
In the graph below (created using Desmos), the line passes through both points. This suggests that we calculated the slope correctly.
Need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
25.92
I hope this helps! ^^
Step-by-step explanation:
Initial Value Increase Increase Final Value = 24 = 8% ↓ = 100 8 × 24 = 0.08 × 24 = 1.92 ↓ = 24 + 1.92 = 25.92
0.5 x (5-5) + (0.4) =
Answer:
0.5 × (5-5) + 0.4 = 0.5 × 0 +0.4 = 0.4Answer: 0.4
Using a calculator will help! If you don't have one available use your computer or phone.
Hope this helps :)
Libby bought three shirts that cost $6.79, $11.08, and $8.95. How much did all three shirts cost
Answer:
$26.82
Step-by-step explanation:
It's just simple addition really. You start with adding 6.79 and 11.08 to get 17.87 and then add 8.95 to 17.87 to get 26.82. Hope this helps.
Statistical models predict that price p (in dollars) of a new smartphone will change according to the function , where t is the number of months since january. which expression gives the month t in terms of the price p?
The expression that give t in terms of price p is \(\sqrt{\frac{p-900}{4} }=t\)
According to the question the function that predicts the price of a new smartphone is given as :
p = 900 - 4t² (1)
where, p represents the price of the smartphone
and t represents the number of months since January.
We have to find the expression which gives the month t in terms of the price. We will solve equation (1) step by step we get
p = 900 - 4t²
subtracting both sides by 900
p - 900 = 900 - 4t² - 900
p - 900 = 4t²
dividing both sides by 4 we get
\(\frac{p-900}{4} = t^{2}\)
taking square root both sides we get
\(\sqrt{\frac{p-900}{4} } = \sqrt{t^{2} } \\\sqrt{\frac{p-900}{4} } =t\)
hence the expression is \(\sqrt{\frac{p-900}{4} }=t\)
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An article in the IEEE Transactions on Electron Devices (Nov. 1986, pp. 1754) describes a study on polysili- con doping. The experiment shown below is a variation of their study. The response variable is base current. Anneal Temperature C) 950 10.15 10.20 9.38 10.02 Polysilicorn Doping (ions) 900 4.60 4.40 3.20 3.50 1000 11.01 10.58 10.81 10.60 I x 1030 2 x 102 tarts there evidence (with α-0.05) indicating that either polysilicon doping level or anneal temperature affects base current? (by Prepare graphical displays to assist in interpreting this experiment. nalyze (d) Iş the model he residuals and comment on supported by this experiment (x.-doping level, x,- temperature)? Estimate the parameters in this model and plot the response surface.
Based on the given data, it seems that both the polysilicon doping level and anneal temperature can affect the base current.
To visually interpret the data, we can create a scatter plot with the polysilicon doping level on the x-axis and the base current on the y-axis, with different colors or symbols representing the different anneal temperatures. We can also create a similar plot with the anneal temperature on the x-axis and the base current on the y-axis, with different colors or symbols representing the different polysilicon doping levels.
To analyze the model, we can examine the residuals to see if they are randomly distributed around zero, indicating that the model is a good fit for the data. If the residuals show a pattern, it may suggest that the model is not a good fit.
Assuming a linear model, we can estimate the parameters using regression analysis. The model could be of the form:
Base current = β0 + β1(doping level) + β2(anneal temperature) + ε
where β0 is the intercept, β1 is the coefficient for doping level, β2 is the coefficient for anneal temperature, and ε is the error term.
Once we have estimated the parameters, we can plot the response surface to see how the base current changes as a function of both the doping level and annealing temperature. This will give us a better understanding of the relationship between these variables and the response variable.
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Solve V= LWH for L
Answer:
\(L\text{ = }\frac{V}{WH}\)Explanation:
Here, we want to solve the given equation for L
What that means is that we want to make L the formula subject. Hence, we are to simply isolate L on one side of the equation
To do this, we have to divide both sides by the values attached to L:
\(\begin{gathered} \frac{V}{WH}\text{ = }\frac{LWH}{WH} \\ \\ L\text{ = }\frac{V}{WH} \end{gathered}\)