Answer:
-2
Step-by-step explanation:
I did the math, trust me. Just input -2 into the x's and solve.
Answer:
D. x = -6
( 3x-6² - 30x-6 - 72 = 0 )
Step-by-step explanation:
So first you work out:
3x² = ( 3 x -6²) = -108
Then work out 30x = ( 30 x -6 ) = -180
-108 - -180 => 72
Then just do 72 - 72 =
Which would be 0! ☆*:.。.o(≧▽≦)o.。.:*☆
hope this helped! xx
Identify ALL solutions to the inequality. There could be more than one selection.
Answer:
Step-by-step explanation:
-3 or 0
Answer:
-3 and 0
Step-by-step explanation:
the inequality states that 11 is greater than x. That means anything less than 11 can be x
-3 is less than 11 so that can be x
0 is less than 11 so that can be it.
11 is 11 and x is not equal to 11, so that’s not the answer
16 is greater than 11 so it can’t be x
How long is Y Z?
Any help will be appreciated thank you
Answer:
This is a special triangle. It is a 30 60 90 degree triangle. I would google more about it. I don't have much more time to work it out. I hope this helps. Have a great rest of your day!
A tree in David’s backyard grows 0.3 meters each month. If the tree is 2.55 meters tall, for how many months has the tree been growing?
Answer:
8.5 months
Step-by-step explanation:
2.55/0.3=8.5
chegg Let F(x, y) be the statement x trusts y, where the domain of discourse for both x and y is all people nobody trusts ralph
The whole statement says that "for all people x and y who are not Ralph, x trusts y".
Let F(x, y) be the statement x trusts y, where the domain of discourse for both x and y is all people, nobody trusts Ralph.
The logic symbolization of the given statement is:
∀x ∀y [(x ≠ Ralph ∧ y ≠ Ralph ∧ x ≠ y) → F(x, y)]
Here, the universal quantifier ∀ means "for all".
So, ∀x means "for all people x" and ∀y means "for all people y".
The symbol → means "implies" or "if-then".
The statement (x ≠ Ralph ∧ y ≠ Ralph ∧ x ≠ y) means "x is not Ralph, y is not Ralph, and x is not equal to y".
So, the whole statement says that "for all people x and y who are not Ralph, x trusts y".
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If ƒ(x) = -x and ƒ(-3), then the result is
The calculated value of the function f(-3) is 3
How to evaluate the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = -x
In the function notation f(-3), we have
x = -3
substitute the known values in the above equation, so, we have the following representation
f(-3) = -1 * -3
So, we have
f(-3) = 3
Hence, the value of the function is 3
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A unicorn whose mass is 65 kg is moving at a speed of 4 m/s. What is the unicorn's kinetic energy?
Answer:
\(KE = 520 J\)
Step-by-step explanation:
\(KE=\frac{1}{2}mv^2\\KE=\frac{1}{2}*65*4^2\\KE=\frac{1}{2}*65*16\\\\KE=520J\)
You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets. Your friend finds $1 near your table and asks if it belongs with the ticket money. Do you think it does?
The 1 dollars found near the table by your friend is likely the money for the tickets.
How to find if the money belong to the ticket money?You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets.
let
x = number of individual ticket
y = number of couple tickets = 2x
Therefore, using equation,
2x(10) + 6x = 1075
2x + x = 195
Hence,
20x + 6x = 1075
3x = 195
x = 195 / 3
x = 65
Hence,
26x = 1075
26(65) = 1690
Therefore, the money on the table is the ticket money because the money is short of the amount of the tickets in dollars.
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Can someone help me with 6-11. Directions: Find the volume of each figure. Round to the nearest hundredth when necessary.
The volume of the figures are;
6. 27, 330. 56 in³
7. 14, 469. 12 mm³
8. 2340 ft³
How to determine the valueTo determine the value, we have that;
The formula for calculating the volume of a cylinder is;
6. Volume = πr²h
Substitute the values, we get;
Volume = 3.14 × 16² × 34
Find the square value and multiply, we have;
Volume = 27, 330. 56 in³
7. The volume of the cylinder is;
Radius = d/2 = 24/2 = 12
= 3.14 × 12² × 32
Find the square and multiply
= 14, 469. 12 mm³
8. volume =lwh
Substitute the values
Volume = 5 × 12 × 39
Multiply the values, we have;
Volume = 2340 ft³
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Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
Answer:
A: 6 + 2(x + 4) = 1/2(3 - x)
1. Find the Laplace transform of f(t)=t^2e^−2x cos(3t). 2. Find the Laplace transform of f(t)=[cos(3t)]^2. 3. Find the Laplace transform of f(t)=(e^−2t −1)^2. 4. Find the Laplace transform of f(t)=sin(2t)cos(2t). 5. Find the Laplace transform of f(t)=t^2.
Using the formula, we get L{t^2} = 2! / s^(2+1) = 2/s^3.
1. To solve the Laplace transform of f(t)=t^2e^−2x cos(3t), we'll use the formula,
The Laplace transform of t^2 e^(-at) cos(bt) is [2a^3/(a^2+b^2)^2] + [2ab/(a^2+b^2)^2]s + [2(b^2-a^2)/(a^2+b^2)^2]s^2
.Using the formula: L{t^2 e^(-2t) cos(3t)} = [2 * (2)^3/(2^2 + 3^2)^2] + [2 * 2 * 3/(2^2 + 3^2)^2]s + [2 * (3^2 - 2^2)/(2^2 + 3^2)^2]s^2.L{t^2 e^(-2t) cos(3t)} = [16/169] + [12s/169] + [5s^2/169].
The Laplace transform of f(t) = [cos(3t)]^2 can be found using the formula,
The Laplace transform of cos^2(at) is [s/2] + [(a * sin(a))/2s] + [sin^2(a)/(2s)]
The Laplace transform of f(t) = [cos(3t)]^2 is L{[cos(3t)]^2} = s/2 + [(3sin(3))/2s] + [(1/2)(1 + cos(6t))/s].
3. The Laplace transform of f(t) = (e^-2t -1)^2 can be determined using the formula,
The Laplace transform of f(t) = (e^-at - 1)^n is (n!/s^n) [(1/(s+a))^n+1]
Using the formula, we get L{f(t)} = (1/s^3) [(1/(s+2))^3]
4. We'll use the trigonometric identity, sin(2t)cos(2t) = [sin(4t)]/2 to solve the Laplace transform of f(t)
= sin(2t)cos(2t).L{sin(2t)cos(2t)} = (1/2)L{sin(4t)} = (1/2) [(4)/(s^2 + 4^2)]
5. To solve the Laplace transform of f(t) = t^2, we'll use the formula,
The Laplace transform of t^n is n! / s^(n+1)
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Park visitors
100
150
200
250
300
350
1) What was the range of the number of park visitors each day?
visitors
Submit
Answer:
The answer is 225
Step-by-step explanation:
Because you first need to subtract 350-125 and you get 225
Describe the translation. y=(x+3)2+4 → y=(x+1)2+6 A. T<−2,2> B. T<−2,−2> C. T<2,−2> D. T<2,2>
Answer:The given equations are two different forms of the same quadratic function. In particular, they represent parabolas that have been shifted in the x-y plane.
The general form of a quadratic equation is y = ax^2 + bx + c, where a, b and c are constants. To convert from the first form y=(x+3)^2+4 to the second form y=(x+1)^2+6, we need to complete the square by manipulating both sides of the equation:
y = (x + 3)^2 + 4 y - 4 = (x + 3)^2 (y - 4) / a = x^2 + bx / a // Here we divide both sides by "a", where "a" is equal to one.
Now let's compare this with our new equation:
y= (x+1)²+6 y-6= (x+1)²
Comparing these two equations gives us:
(y - 4) / a = x^2 + bx / a --> (y-6)/1=x²+(0)x/1
We can see that b must be zero for these two functions to be equivalent. This means that there is no horizontal shift between them; they share the same vertex at (-3,-4)=(−1,−6).
However, there is vertical shift between them: The vertex has been moved up by an amount of (+6 −(−4))=10 units.
Therefore, using vector notation T<h,k>, where h represents horizontal translation and k represents vertical translation or shifting , we can say that transformation from first function to second function involves T<0,+10>.
So our answer should be D. T<2,2>.
Step-by-step explanation:
What must be done to categorical variables in order to use them in a regression analysis?
Choose one answer.
a. categorical coding
b. nothing
c. problem coding
d. dummy coding
d. Dummy coding. Categorical variables need to be converted into numerical variables to be used in regression analysis. Dummy coding involves creating binary variables for each category of the categorical variable.
For example, if the categorical variable is "color" with categories "red," "green," and "blue," dummy coding would involve creating three binary variables: "red" (0 or 1), "green" (0 or 1), and "blue" (0 or 1). These binary variables can then be used in the regression analysis. In conclusion, to use categorical variables in regression analysis, dummy coding is necessary.
In order to use categorical variables in a regression analysis, they must be converted into numerical values. This process is called dummy coding (also known as one-hot encoding). Dummy coding involves creating new binary variables (0 or 1) for each category of the categorical variable. This allows the regression model to incorporate the categorical data while maintaining its numerical nature.
To use categorical variables in a regression analysis, you must apply dummy coding to convert them into numerical values.
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Alonzo drove 380 miles using 14 gallons of gas. At this rate, how many gallons of gas would he need to drive 418 miles?
You have the following information:
- Alonzo drove 380 miles using 14 gallons of gas
In order to determine how many gallons of gas would Alonzo need to drive 418 miles, you consider that each 380 miles are equivalent to 14 gallons of gas.
Then, you can use the following rule of three:
380/14 = 418/x
where x is the unknown amount of gallons of gas Alonzo needs. The rate must be equal because Alonzo drives with constant speed.
Then, you solve the previous equation for x, just as follow:
380/14 = 418/x multiply both sides by x
(380/14)x = 418 multiply by 14 and divide between 380 both sides
x = 418(14/380) simplify
x = 15.4
Hence, Alonzo would need 15.4 gallons of gas to drive 418 miles
Sophia is making tomato sauce. She adds 12 grams of her secret ingredient to each liter of sauce she prepares. If she has 4 grams of her secret ingredient, how many liters of sauce can she make?
Answer:
\(\frac{1}{3}\)liter
Step-by-step explanation:
To make her tomato sauce,
Sophia adds 12g to 1 liter of sauce;
Let us find the;
liter of sauce per gram of ingredient = \(\frac{1}{12}\)liter/gram
Now;
liters of sauce required to make 4grams
liter of sauce = 4g x \(\frac{1}{12}\)liter/g = \(\frac{1}{3}\)liter
How many times would that person's heartbeat if he/she ran a 5K
race? (If you
don't have a rate at which this person runs, assume the person can
average 6
MPH during the race.
Define the following sets: A = {1,3,7,9,10} B = {2,5,7,8,9,10} C = {0,1,3,10} D = {2,4,6,8,10} E = {x: x is a negative natural number} F = {0} Find En D
To find the intersection of sets E and D, denoted as E ∩ D, we need to identify the elements that are common to both sets.
Set E is defined as the set of negative natural numbers, which includes numbers less than zero (-1, -2, -3, ...). Set D is defined as the set {2, 4, 6, 8, 10}, which consists of the positive even numbers less than or equal to 10.
To find the intersection of sets E and D (E ∩ D), we need to identify the elements that are common to both sets. However, since there are no negative natural numbers in set D, the intersection of sets E and D will be an empty set (∅) or the null set. This is because there are no elements that satisfy both the condition of being a negative natural number and a positive even number simultaneously.
Therefore, En D = ∅, indicating that the intersection of sets E and D is an empty set.
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Select the correct answer.
Which equation is true for the value b = 2?
A.
2b + 24 = 30
B.
3b − 2 = 4
C.
b + 4 = 8
D.
2b − 3 = 0
how much money can the casino expect to gain/lose if 1000 people play that same bet throughout the day?
Once you have the probability and payout odds, you can use the above steps to determine the casino's expected gain/lose when 1000 people play the same bet throughout the day.
To accurately answer this question, more information is needed about the specific bet and the casino's odds for that bet.
However, I can help you determine the expected gain/lose once you provide the necessary information.
Step 1: Determine the probability of the bet outcome (win/lose) and the payout odds for each outcome.
Step 2: Calculate the expected gain/lose for a single bet by multiplying the probability of each outcome by its respective payout.
Step 3: Multiply the expected gain/lose per bet by the number of people (1000) to find the total expected gain/lose for the casino.
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What is the largest country in europe by population?.
The largest country in Europe by population is Russia. With a population of over 144 million people, Russia holds almost twice as many inhabitants as the second-largest country in Europe, Germany.
The reason why Russia has the largest population in Europe is mainly due to its vast geographical area, which includes diverse ethnic groups and natural resources, thus supporting a larger population. Additionally, historical factors such as migration, urbanization, and economic growth have also contributed to Russia's high population numbers.
One of the main reasons for Russia's large population is its size. As the largest country in the world, Russia covers almost 1/8th of the world's landmass, providing ample room for its citizens to reside. Additionally, Russia's population growth has been influenced by various factors throughout history, including immigration, wars, and government policies. Despite declining birth rates in recent years, Russia's population remains the largest in Europe.
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PQ= RQ and PS= RS a=?
The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.
What are interior angles?In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.
Given:
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle a:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)
\(\angle\text{Q}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-60\)
\(\angle\text{R}=60^\circ\)
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)
\(\angle\text{S}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-90\)
\(\angle\text{R}=45^\circ\)
Step 4 - Now, the measure of angle a is calculated as:
\(\angle\text{a}=60-45\)
\(\angle\text{a}=15\)
The measure of angle a is 15 degrees.
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Please help me. Answer ASAP!! all info you need to solve the problem is in the photo
If f(0) = 18 and f(1) = 13 then f(0) be the largest value.
What is meant by function?A function is a relationship between a number of inputs where each input has exactly one output, according to one definition.
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions denoted the idealized relationship between two changing quantities.
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). If f exists typically utilized to denote a function (x).
Let the function f(x) = 18 - 5x
a) f(-4) = 18 - 5(-4) = 38
b) f(0) = 18 - 5(0) = 18
f(1) = 18 - 5(1) = 13
Therefore, f(0) be the largest value.
The complete question is:
Given the function f(x) = 18 - 5x
a. What is the value of function f given an input of -4 ?
b. Which is larger, f(0) or f(1)? Show your work to justify your answer.
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Math problem giving brainly!
Answer:
can you type the question so i can answer it, i cant see the picture
Step-by-step explanation:
What is the difference between a relation and a function? Classify each of the following as a function, or not a function. State the domain and range.
a. {(10,20}, (10,50), (11,30)}
b. {(1,7),(1,14),(1,21)}
{(10,20}, (10,50), (11,30)} is a function while the relation {(1,7),(1,14),(1,21)} is not a function since there is a repetition in the domain of the functions.
Domain of the relation are the x-coordinate points of the relations while the range are the y-coordinate points of the relation.
Relations and functionsA binary relation associates elements of one set, called the domain, with elements of another set, called the codomain.
In coordinate points (x, y), the x-coordinates are the domains while the y-coordinates are the co domain.
Given the relations below;
a.{(10,20}, (10,50), (11,30)}
b. {(1,7),(1,14),(1,21)}
From the given relations, the relation {(10,20}, (10,50), (11,30)} is a function while the relation {(1,7),(1,14),(1,21)} is not a function since there is a repetition in the domain of the functions.
Domain of the relation are the x-coordinate points of the relations while the range are the y-coordinate points of the relation.
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Is this correct?????????
Answer:
yup its right
Step-by-step explanation:
Pls help 20 points :)
Answer:
49 cm²
Step-by-step explanation:
Half circle: 1/2 π r² ≈ 1/2 * 3.14 * 16 = 25.12
Rectangle: 3*8 = 24
Add them: 25.12 + 24 ≈ 49
What is the largest whole-number side length (in inches ) that would ensure the triangle is an acute triangle?
To ensure that a triangle is acute, the largest whole-number side length in inches would be 1.
In an acute triangle, each angle measures less than 90 degrees. To determine the largest whole-number side length that ensures an acute triangle, we consider the smallest possible non-zero lengths for the other two sides. By setting these two side lengths as 1, we can construct a triangle where all three angles are acute.
When one side length is 1, the other two sides must have lengths greater than 1 for the triangle to be valid. However, if any side length is equal to or less than 1, it would lead to an obtuse or degenerate triangle. Thus, the largest whole-number side length that guarantees an acute triangle is 1 inch.
In summary, to ensure an acute triangle, the largest whole-number side length in inches would be 1. This guarantees that all three angles of the triangle measure less than 90 degrees, creating an acute triangle.
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1/7 (x + 3/4) = 1/8 solve for x
Answer: 1/8
Step-by-step explanation:
whether the expressions 2. 7y - 15 + 2y and 9y 15
Answer:
7y-15+2y= 9y-15
9y-15
.....
Step-by-step explanation:
Answer:
no solution
Step-by-step explanation:
is 6km is not as far as 6 miles true or false
Answer:
False.
6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.
Step-by-step explanation:
The answer is:
trueWork/explanation:
We can't really compare two things if they have different units.
So we need to convert kilometers to miles first.
1 km is approximately equal to 0.621 miles.
So 6 km would be approximately 3.728 miles.
6 miles is further away than 3.728 miles.
Hence, the answer is true.6 km is not as far as 6 miles. And now we know why.