Answer:
a= 3b+4c/2
Step-by-step explanation:
2a=3b+4c
a= 3b+4c/2
Help me mdkskkeeknsjeleksksk
Answer:it’s an unknown number
Step-by-step explanation:
what is the simplified form of the following expression 2x^2y 3x^2 4y 3x^2y 2y
Answer:
\(8x^6y^9\)
Step-by-step explanation:
Multiply the numbers
\(2x^2y^3x^2\) · \(4y^3x^2y^2y\)
\(8x^2y^3x^2y^3x^2x^2y\)
Combine exponents
\(8x^2y^3x^2y^3x^2x^2y\)
\(8x^2y^9x^2x^2\)
Combine exponents
\(8x^2y^9x^2x^2\)
\(8x^6y^9\)
Solution
\(8x^6y^9\)
x² + 6x-27=(x- -)(x +-)
Answer:
\( {x}^{2} + 6x - 27 = (x + 9)(x - 3)\)
please help me!!! I NEED HELP!!!! IM SO CONFUSED
Pretty sure is 5 bud.
Late for the party but happy to help!!
The collection of all elements of interest in a particular study is:_________
A population is the set of all individuals of interest in a particular study.
The concept of population and sample are used to solve this problem. The population is the collection of the units under study and the sample is a part of the population that is studied to draw the required conclusions. Statistical inference consists of hypothesis testing and estimation of unknown population parameters.
Population: A population is defined as every unit that is covered under research. The population is a larger group for which any study is conducted.
Sample: A sample is a part of the population that represents the whole population. The unknown population parameters are estimated using the sample results.
Statistic: A statistic is the characteristic of a sample, such as mean, standard deviations, etc.
Parameter: A parameter is the same as a statistic but it represents the characteristics of the population. A parameter is an unknown value that is to be estimated from the sample statistic.
Variable: A variable is an attribute that can describe the characteristics, number, or quantity that can be measured or counted. A variable is also considered a data item. Age, gender, number of students in a class, country of birth, capital expenditure, class grades, and different types of vehicles are examples of variables. It is called a variable because the value of the variable may vary from time from one entity to another.
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Explain all the basic trigonometric functions
Answer:
SOHCAHTOA
Step-by-step explanation:
Sine=Opposite/hypotenuse
Cosine= Adjacent/hypotenuse
Tangent: Opposite/adjacent
You can use SOHCAHTOA to memorize all the basic functions.
SOH for sine
CAH for cosine
TOA for tangent
Answer:
Sin= opp/hyp
Cos=adj/hyp
Tan=opp/adj
Renee needs 3 gallons of milk to make cookies. Each batch of cookies uses 2 cups of milk. How many batches of cookies can Renee make? (Note: 16 cups = 1 gallon)
Which table represents a linear function?
X
X
y
1
1
1
2
2
1
2
3
4
34
O
122
1/7/2
O
y
1
121314
X
1
2
3
4
X
1
2
3
14
O
y
7
9
13
21
y
0
6
16
30
the third one
Step-by-step explanation:
Can an absolute value equal a negative?
The growing seasons for a random sample of 34 US cities were recorded, yielding a sample mean of 188.1 days And the population standard deviation of 53.1 days. Estimate the true population mean of the growing season with 95% confidence
Answer:
(170.251 ; 205.949)
Step-by-step explanation:
Sample size, n = 34
Sample mean, xbar = 188.1
Population standard deviation, σ = 53.1
Confidence level = 95% ; Zcritical at 95% = 1.96
Using the confidence interval relation :
Xbar ± standard Error
Standard Error = Zcritical * σ/√n
Standard Error = 1.96 * 53.1/√34
Standard Error = 17.849
Lower boundary = (188.1 - 17.849) = 170.251
Upper boundary = (188.1 + 17.849) = 205.949
(170.251 ; 205.949)
hello :D
so I just wanted to make sure that I was correct :D
first 10 didgts of pi
I guess I did not know how to answer sorry
Answer: thefirst ten didgets of pi are .1415926535
Step-by-step explanation:
What are the solution(s) to the quadratic equation x2 – 25 = 0?
x = 5 and x = –5
x = 25 and x = –25
x = 125 and x = –125
no real solution
hi
x²-25 = (x+5) ( x-5)
As a multiplication can only add up to zero if one of term is 0 ,
there is two solutions :
x+5 = 0
x = -5
and x-5 = 0
x = 5
So two solutions for x² -25 = 0 which are -5 and 5
Expand and simplify5(2a)-7+3a
Answer:
13a-7
Step-by-step explanation:
First step: Multiply the numbers
5*2a-7+3a
10a-7+3a
Second step: Combine like terms :)
10a-7+3a
13a-7
(if its wrong you have every right to report me)
What is the inverse function of f(x)=x2+9 and what is the domain and range?
For the original function f(x) = x2 + 9:
Domain: Since x2 is defined for all real numbers, the domain is all real numbers, or (-, ).
Range: Since x2 is always non-negative and we add 9 to it, the range is [9, ].
To find the inverse function of f(x) = x^2 + 9, follow these steps:
1. Replace f(x) with y: y = x^2 + 9
2. Swap x and y: x = y^2 + 9
3. Solve for y to get the inverse function:
Subtract 9 from both sides:
x - 9 = y^2
Take the square root of both sides (considering only the positive square root as the original function has a non-negative output):
y = sqrt(x - 9)
The inverse function is f^(-1)(x) = sqrt(x - 9).
Now let's find the domain and range:
For the original function f(x) = x^2 + 9:
- Domain: Since x^2 is defined for all real numbers, the domain is all real numbers or (-∞, ∞).
- Range: Since x^2 is always non-negative and we add 9 to it, the range is [9, ∞).
For the inverse function f^(-1)(x) = sqrt(x - 9):
- Domain: The square root function is defined only for non-negative numbers. So, the domain is [9, ∞).
- Range: The square root function has a non-negative output. So, the range is [0, ∞).
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There are 25 girls, 18 boys and 7 adults on a bus. What percentage
of the people on the bus are adults?
Answer:
0.5%
Step-by-step explanation:
When simplifying the expression 4x^2 – 7x - _x, what value should go in the blank so that the result is 3x^2 – 5x?
-2
12
2
-12
you are standing feet away from a five-story building in los angeles, looking up at its rooftop. your eyes are approximately five feet above the ground. in the distance you can see the billboard on top of your hotel, but the hotel building is completely obscured by the building in front of you. if your hotel is stories tall and the average story is feet high, how far away from your hotel are you?
If your hotel is stories tall and the average story is feet high, the distance is 69 feet.
How to find the distance?We can solve this problem using similar triangles. Let's call the distance between you and your hotel "x".
First, we need to determine the height of the building in front of you. Since we know it is five stories tall, and the average story is 10 feet high, its total height is 5 * 10 = 50 feet.
Now, we can use the similar triangles formed by the buildings and your line of sight to set up a proportion:
x / (h + 50) = 60 / h
where "h" is the height of the five-story building, and "h + 50" is the total height of the building and its billboard.
We can cross-multiply to get:
x * h = 60 * (h + 50)
Expanding the right side, we get:
x * h = 60h + 3000
Subtracting 60h from both sides, we get:
x * h - 60h = 3000
Factoring out the h, we get:
h * (x - 60) = 3000
Dividing both sides by h, we get:
x - 60 = 3000 / h
Substituting in the known values, we get:
x - 60 = 3000 / (10 * 32)
Simplifying, we get:
x - 60 = 9.375
Adding 60 to both sides, we get:
x = 69.375
x = 69 feet
Therefore, you are approximately 69 feet away from your hotel.
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The complete question is:
you are standing 60 feet away from a five-story building in los angeles, looking up at its rooftop. your eyes are approximately five feet above the ground. in the distance you can see the billboard on top of your hotel, but the hotel building is completely obscured by the building in front of you. if your hotel is 32 stories tall and the average story is 10 feet high, how far away from your hotel are you?
from the Venn diagram list all the elements in G U H in set notation
G={apple,orange,banana,grape,duruan,pear}
H={apple,banana,grape,strawberry}
Answer: The Union of two sets will be all elements without duplicate elements. So G U H ={apple , orange , banana , grape , duruan ,pear , strawberry}
Step-by-step explanation:
"U" is the union of two sets. The no of values in Union of two sets G , H
is G U H = G + H - (G ∩ H)
G set contains the elements are {apple ,orange ,banana ,grape ,duruan ,pear}.H set contains the elements are apple ,banana, grape, strawberry. G ∩ H the same elements between G, H. The Elements which are common are [apple ,banana ,grape}. G + H are the elements in G,H with duplicates . The elements are {apple, orange, banana, grape, duruan, pear, apple, banana, grape, strawberry}.Now removing duplicates are G + H - (G ∩ H) . So the elements are {apple , orange , banana , grape , duruan ,pear , strawberry}.To learn more about sets notation,
What is the value of s after the following statement:
String s = (!true) + " : " + (10 + 4) + " is 104";
a. "!true : 104 is 104"
b. "false : 104 is 104"
c. "!true : 14 is 104"
d. "false : 14 is 104"
e. This is a compile-time error
Based on this evaluation, the correct answer is:
d. "false : 14 is 104"
The value of 's' after the given statement can be determined by evaluating each part of the expression step by step:
1. Evaluate (!true): Since 'true' is negated using the '!' operator, this expression becomes 'false'.
2. Concatenate " : " to "false": The resulting string also becomes "false : ".
3. Calculate (10 + 4): This arithmetic expression is equals to 14.
4. Concatenate "14" to "false : ": The resulting string becomes equal to "false : 14".
5. Finally, concatenate " is 104" to "false : 14": The final value of 's' becomes "false : 14 is 104".
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2) Find x if IW = x -2 and IU = 2x - 6
H
U
A) 6.6
C) 7
B) 5
D) 4
Given:
The figure of a triangle.
\(IW= x-2\)
\(IU=2x-6\)
To find:
The value of x
Solution:
From the given figure it is clear that \(VI\) is a median of the given triangle. It means \(I\) divides \(UW\) is two equal parts.
\(IU=IW\)
\(2x-6=x-2\)
\(2x-x=6-2\)
\(x=4/tex]
The value of x is 4. Therefore, the correct option is D.
Solve for x. Enter the solutions from least to greatest.
x2 – X – 12 = 0
Answer:
x=-3 or 4
Step-by-step explanation:
.Rachel goes shopping at HEB. She buys 1.4 pounds of ground beef. The cost per pound for ground beef is $2.50 per pound. She also buys a can of tomato sauce for $1.99 and a package of spaghetti for $1.75. What was the total amount that she paid for these items?
5/12d+1/6d+1/3d+1/12d=6 solve for d
Answer:
take lcm ...i.e.= 12d then solve it ... value of d=1/6....a dog of this breed weighs 48 pounds. what is the dog's z-score? round your answer to the nearest hundredth as needed. z
If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg according to given standard deviation.
What is standard deviation?
Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.
Main body:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = x- υ/σ
Given that μ = 55, σ = 6;
For x = 49:
z = 49 - 55/6
z = -1
If the dog has a z-score of -1.09, his weight is:
-1.09 = x -55/6
x - 55 = -6.54
x = 48.46
If the dog has a z-score of 1.09, his weight is:
1.09 = x - 55/6
x -55 = 6.54
x = 61.54
Hence ,If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg
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2) Change $8.25 per hour to Mexican pesos per year. 1 US dollar = 19.92 Mexican Pesos
Answer:
Step-by-step explanation:
Hello!
1 US dollar = 19.92 Mexican Pesos
$8,25 = 19,92 * 8,25 =>164,34 Mexican Pesos
Answer:
164.34 Pesos
Step-by-step explanation:
What we know is that 1 USD equals 19.92 Pesos
You have 8.25 USD, just multiply 8.25 by 19.92.
You should get 164.34.
Use the method of undetermined coefficients to solve the second order ODE \[ y^{\prime \prime}-4 y^{\prime}-12 y=10 e^{-2 x}, \quad y(0)=3, y^{\prime}(0)=-14 \]
The complete solution to the given ordinary differential equation (ODE)is:
\(y(x) = y_h(x) + y_p(x) = 5e^{6x} - 2e^{-2x} + 10e^{-2x} = 5e^{6x} + 8e^{-2x}\)
To solve the second-order ordinary differential equation (ODE) using the method of undetermined coefficients, we assume a particular solution of the form:
\(y_p(x) = A e^{-2x}\)
where A is a constant to be determined.
Next, we find the first and second derivatives of \(y_p(x)\):
\(y_p'(x) = -2A e^{-2x}\\y_p''(x) = 4A e^{-2x}\)
Substituting these derivatives into the original ODE, we get:
\(4A e^{-2x} - 4(-2A e^{-2x}) - 12(A e^{-2x}) = 10e^{-2x}\)
Simplifying the equation:
\(4A e^{-2x} + 8A e^{-2x} - 12A e^{-2x} = 10e^{-2x}\)
Combining like terms:
\((A e^{-2x}) = 10e^{-2x}\)
Comparing the coefficients on both sides, we have:
A = 10
Therefore, the particular solution is:
\(y_p(x) = 10e^{-2x}\)
To find the complete solution, we need to find the homogeneous solution. The characteristic equation for the homogeneous equation y'' - 4y' - 12y = 0 is:
r² - 4r - 12 = 0
Factoring the equation:
(r - 6)(r + 2) = 0
Solving for the roots:
r = 6, r = -2
The homogeneous solution is given by:
\(y_h(x) = C1 e^{6x} + C2 e^{-2x}\)
where C1 and C2 are constants to be determined.
Using the initial conditions y(0) = 3 and y'(0) = -14, we can solve for C1 and C2:
y(0) = C1 + C2 = 3
y'(0) = 6C1 - 2C2 = -14
Solving these equations simultaneously, we find C1 = 5 and C2 = -2.
Therefore, the complete solution to the given ODE is:
\(y(x) = y_h(x) + y_p(x) = 5e^{6x} - 2e^{-2x} + 10e^{-2x} = 5e^{6x} + 8e^{-2x}\)
The question is:
Use the method of undetermined coefficients to solve the second order ODE y'' - 4 y' - 12y = 10\(e ^{- 2x}\), y(0) = 3, y' (0) = - 14
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Which of the following does the Pythagorean Theorem reveal
According to the Pythagorean theorem, "in a right-angled triangle, the squares of the hypotenuse side is equivalent to the sum of squares of the other two sides," the hypotenuse side is the longest side of the triangle.
This is further explained below.
What is Pythagorean Theorem?Generally, The Pythagorean theorem is a well-known geometric theorem that states the number of squares just on the legs of a right triangle is equal to the square just on the hypotenuse (the side that is opposite the right angle).
This theorem can also be expressed in the familiar algebraic notation of a2 + b2 = c2, where a and b are the lengths of the legs of the triangle.
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is an essential connection in Euclidean geometry that describes the relationships between the three sides of a right triangle.
It indicates that the total of the areas of the squares on the other two sides is equal to the area of the square whose side is the hypotenuse.
In conclusion, This means that the area of the square whose side is the hypotenuse is equal to that amount.
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CQ Not found: Answered Generally
Solve the system of linear equations by substitution: (SHOW UR WORK)
y=5x-6
y=4x-2
Answer:
x = 4
y = 2
Step-by-step explanation:
1) y = 5x - 6
2) y = 4x - 2
sub 1 into 2
5x - 6 = 4x - 2
5x - 4x = 6 - 2
x = 4 ---> (3)
sub 3 into 2
y = (4 * 1) - 2
y = 4 - 2
y = 2
Answer:
4
Step-by-step explanation:
Since they both equal y, they are both equivinlent
\(5x-6=4x-2\)
\(5x=4x+4\)
\(x=4\)
CHECK
\(20-6=16-2\)
\(14=14\)
11 Finding a difference quotient for a linear or quadratic function V Find the difference quotient f(x)=-3x²-2x+5 Simplify your answer as much as possible. f(x +h)-f(x) h f(x+h)-f(x) h = ( where h#0,
The difference quotient for the given function is 9 -2/h.
The difference quotient for the given function can be calculated as:
[f(x+h) - f(x)]/h
= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h
= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h
= (6xh + 3h² - 2h)/h
= (6x + 3h -2)/h
Simplifying the expression further, we get:
(6x + 3h -2)/h = 6 + 3h/h -2/h
= 6 + 3 -2/h
= 9-2/h
Therefore, the difference quotient for the given function is 9 -2/h.
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"Your question is incomplete, probably the complete question/missing part is:"
Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.
f(x)=3x² -2x+5. Simplify your answer as much as possible.