1
Choose all the variable terms in the expression. 12+15x-16-4x-10x
Answers
Answer:
X (all of them)
Step-by-step explanation:
X is a variable and the numbers and constants, numbers that do not change. (There isn't much of an explanation for this) (Variables are usually just letters, or unknown amounts)
Related Questions
Simplify 12^3 ÷ 12^7
Answers
= 12^-4
Answer:
In decimal dorm 4.8225 x 10^-5
Step-by-step explanation:
Given =(5,-2, 3) and >= (1, 1, 2) find an ordered triple that represents 3u - 2v.
Answers
The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).
To find an ordered triple representing \(3u - 2v\),
where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),
we can perform the following operations:
\(3u = 3(5, -2, 3)\)
\(3u = (15, -6, 9)\)
\(2v = 2(1, 1, 2)\)
\(2v = (2, 2, 4)\)
Now, subtracting 2v from 3u gives:
\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)
\(3u - 2v = (15-2, -6-2, 9-4)\)
\(3u - 2v = (13, -8, 5)\)
Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).
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Solve the equation. (Enter your answers as a comma-separated list. Use n as an arbitrary integer. Enter your response in radians.) tan2(x) + tan(x) − 20 = 0
Answers
The solution of equation of trigonometric functions, tan²(x) + tan(x) − 20 = 0, is equals to the x = 1.33 radians , 1.37 radians (x = arc tan(4) = 1.33 , x = arc tan(-5)= 1.37).
We know that trigonometric functions are periodic functions, solutions of trigonometric equations are then infinite and periodic. In these equations, it is essential to know the reduction formulas of each quadrant, which allows each angle in the first quadrant to be related to its corresponding angle in the other three quadrants. We have an equation which contains triagmometric function,
tan²(x) + tan(x) − 20 = 0 --(1) and we have to solve it. First we change the variable as y = tan(x). Rewrite the equation (1), y² + y - 20 = 0 --(2) which is an quadratic equation. The quadratic formula helps to solve the equation (2).
=> y = ( -1 ± √1 - 4(-20))/2
=> y = ( -1 ± √81)/2
=> y = ( -1 ± 9)/2
=> y = ( -1 + 9)/2 or (-1 -9)/2
=> y = 4, -5
Now x = tan⁻¹(y), and so, x = tan⁻¹(4) = 1.33 radians, or tan⁻¹(-5) = 1.37 radians. Hence, required value is ( 1.33, 1.37).
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Find the equation of the tangent through the point (2,-2) to the hyperbola x² + y² = 16
Answers
Answer: y = -x
Step-by-step explanation:
The equation of the hyperbola is x² - y² = 16.
Taking the derivative of the equation with respect to x, we get:
2x - 2yy' = 0
y' = x / y
At the point (2,-2), we have x = 2 and y = -2. Thus, the slope of the tangent is:
y' = 2 / (-2) = -1
So, the equation of the tangent through the point (2,-2) is:
y + 2 = -1(x - 2)
y + 2 = -x + 2
y = -x
Which expression is equivalent to x^-5/3
Answers
Answer:
b
Step-by-step explanation:
\( {x}^{ - \frac{5}{3} } = = = > \\ \frac{1}{x} ^{ \frac{5}{3} } \)
So the root is 3 and the power is 5
finally your answer
\( \frac{1}{ \sqrt[3]{ {x}^{5} } } \)
What’s the answer to the questions below? Plsss help
Answers
According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.
How to identify parallel lines?To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:
ADCFOn the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.
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Hurry, geometry math 7th grade
Answers
You need to find the area of the hexagon, and the area of the triangle.
The formula for the area of a triangle is
\(a = \frac{bh}{2} \)
I hope this helps you a little.
Answer:
93.5 units^2
Step-by-step explanation:
a^2+b^2=c^2
a=3
b=?
c=6
b=√6^2-3^2
b=3√3=5.196
5.196×3=15.5884
15.5884×6
Help me please I can’t figure it out!
Answers
Answer:
vv
Step-by-step explanation:
10.1(3) + 9.5(4) = 30.3 + 38.0
= 68.3
PLEASE ANSWER ASAP!!!!!!!!!!!!
what is 4(3-6x)=?
Answers
-24x + 12
i am pretty sure that is it, but i am not good at these stuff. Sry if it's wrong.
Which pair of sentences explains what happens if the wire breaks? A. The wire is part of the electric circuit. The electric current will not flow if it breaks B. The wire is not part of the electric circuit. The electric current will continue to flow, but the bulb will not light C. The wire is not part of the electric circuit. The electric current will flow but the bulb is burned out. D. The wire is part of the electric circuit. The electric current will flow if the glass bulb is not
Answers
Answer:\ a.The wire is part of the electric circuit. The electric current will not flow if it breaks
Step-by-step explanation:
Hope this helps!
What is the second step in identifying grouped mean?
Answers
Answer:
B
Step-by-step explanation:
Divide the sum obtained in preceding step by total number of frequencies.
Fact family for 8,7,56
Answers
Answer: 8 x 7 = 56 7 x 8 = 56 56/8=7 56/7=8
Step-by-step explanation: the way that you do it you will the same numbers
Step-by-step explanation: 8: 1,8, 2,4,4,2 8,1
7: 1,7,
56: 1,56,7,8,8,7
Please help it’s due tomorrow
Answers
Answer:
Step-by-step explanation:
the sum of two numbers is 22, and their difference is 12. set up two equations to solve using elimination to help you find the numbers. enter the lesser of the two numbers here:
Answers
When the sum of two numbers is 22, and their difference is 12, the lesser of the two numbers is 5.
What is equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
Let numbers be a and b.
a+b=22
a=22-b
b-a=12
b-(22-b)=12
2b-22=12
2b=34
b=17
a=5
The lesser of the two numbers is 5 when the sum of two numbers is 22, and their difference is 12.
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Please state which property allows each of the statements to be true. A list of properties
has been given to you. Please use those letters to fill in the blanks.
1.
2.
3.
4.
5.
6829)
6.
7.
8.
9.
If 9x - 2 = 21, then 9x = 23.
If 3(x + 5) = 24, then 3x + 15 = 24.
If 3x + 15 = 24, then 3x = 9.
If 3x = 9, then x = 3.
If a = 7, then 7 = a.
If x/2 = 3, then x = 6.
If 2x + y = 3 and x = 9, then 2(9) + y = 3.
X = X.
If a = b and b = 2, then a = 2.
A.
B.
Addition Property of Equality
Subtraction Property of Equalit
Multiplication Property of Equa
Division Property of Equality
Reflexive Property of Equality
Symmetric Property of Equalit
Transitive Property of Equality
H. Substitution Property of Equa
Distributive Property
F.
G.
1.
C.
D.
E.
Answers
Addition, subtraction, multiplication, division, reflexive, symmetric, transitive, substitution, and square root qualities are the main nine properties of equality.
What is the properties of equality?The nine basic characteristics of equality are addition, subtraction, multiplication, division, reflexive, symmetric, transitive, substitution, and square root. Real number-based algebraic problems can be resolved with the aid of the addition, subtraction, multiplication, and division properties of equality.
When you add the same amount to both sides of an equation that has two equal expressions, the equation will stay equal. Finding the value of the variable that makes an equation true is the process of solving an equation.
The Subtraction Property of Equality asserts that when an equal value is subtracted from or removed from two equal objects, a new equal quantity is created. A mathematical statement with two equivalent sides is denoted by an equal sign. The formula for the subtraction property is if a = b, then a - c = b - c.
According to the equality's multiplication property, an equation's two sides stay equal when multiplied by the same amount.
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jalen drew a rectangle with a perimeter of 20 inches. the smaller side measured 3 inches. jalen said the longer side of the rectangle had to be 7 inches. is jalen correct?
Answers
Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(3 + 7)
20 = 2(10)
20 = 20 (True).
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The thermal plot of a gaming system during play time is defined by 10ln(15t^3) − 2T + 100 = T + 10t for 0 < t ≤ 5, where t represents time in hours and T represents temperature in °C. For which condition does the system reach a possible maximum or minimum temperature?
30 − 10t = 0
450t^2 − 10 = 0
6 − 90t^3 = 0
15t^2 − 10 = 0
Answers
Answer:
450t^2 − 10 = 0
Step-by-step explanation:
The following equations are givenEquation #1 3x+z+y=8Equation #2 5y-x=-7Equation #3 3z+2x-2y=15Equation #4 4x+5y-2z=-3a. is it possible to solve for any of the variables using only Equation #1 and Equation #27 Explain your answer. If possible, solve for the variables using only equations #1 and #2b. is it possible to solve for any of the variables using only Equation #1, Equation #2, and Equation #37 Explain your answer if possible, solve for the variables using only equations #1, #2, and #3c. if you found solutions in part b, do these solutions also hold for Equation #4?
Answers
Solution
(a). For any number of equations to be solved simultaneously, the number of equations, must be same as number of variables.
Hence, Equation (1) & (2) can't be solved simultaneously, because, only two equations are given to solve for 3 variables.
(b) From the explanation above, it is obvious that, Equation (1), (2), and (3), can be solved simultaneously, because, we have 3 variables (x, y, z), with 3 equations to solve with.
Next we do is to solve Equation (1), (2), and (3) simultaneously using substitution method.
\(\begin{bmatrix}3x+z+y=8\\ 5y-x=-7\\ 3z+2x-2y=15\end{bmatrix}\)From the Equation 2, make y the subject of formula
\(\begin{gathered} 5y-x=-7 \\ 5y=-7+x \\ y=\frac{-7+x}{5} \end{gathered}\)We substitute, for y in equation (1), and (3).
\(\begin{bmatrix}3x+z+\frac{-7+x}{5}=8\\ 3z+2x-2\cdot \frac{-7+x}{5}=15\end{bmatrix}\)Simplifying,
\(\begin{bmatrix}z+\frac{-7+16x}{5}=8\\ 3z+\frac{14+8x}{5}=15\end{bmatrix}\)make z the subject of formula
\(z=8-\frac{-7+16x}{5}\)Substitute z in the second equation,
\(\begin{gathered} \begin{bmatrix}3\left(8-\frac{-7+16x}{5}\right)+\frac{14+8x}{5}=15\end{bmatrix} \\ simplifying \\ \begin{bmatrix}-8x+31=15\end{bmatrix} \\ simplifying \\ -8x=15-31=-16 \\ x=\frac{-16}{8}=-2 \end{gathered}\)Now, we have the value of x, remaining y, and z, and we substitute the value of x = -2, in the equation above for z.
\(\begin{gathered} z=8-\frac{-7+16x}{5} \\ z=8-\frac{-7+16(2)}{5}=\frac{-7+32}{5} \\ z=\frac{25}{5}=5 \end{gathered}\)\(\begin{gathered} y=\frac{-7+x}{5}=\frac{-7+2}{5}=\frac{5}{5}=1 \\ y=1 \end{gathered}\)Hence, x = -2, y = 1, z = 5
(c)
Next, we proof for the values of x, y, and z in equation (4)
Substitute, x = -2, y = 1, z = 5 in equation (4)
\(\begin{gathered} 4x+5y-2z=-3 \\ 4(-2)+5(1)-2(5)=-8+5-10=-13\ne-3 \\ \end{gathered}\)Hence, the solution doesn't hold for the equation (4).
What does PIN stand for?
Answers
Answer:
Personal Identification Number
Answer:
P.Personal
I .Identification
N . Number
Find the domain and range of the relation. Also determine whether the relation is a function.
{(6,3), (8,5), (-4,-4), (5,5)}
Answers
The domain is:
D: {-4, 5, 6, 8}
The range is:
R: {-4, 3, 5}
And yes, the relation is a function.
How to determine the domain and range?
For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).
Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}
The domain is the set of the first values of each pair, so we have:
D: {-4, 5, 6, 8}
The range is the set of the second values of each pair:
R: {-4, 3, 5}
Now, is this a function?
Yes, it is a function, because each input is mapped into only one output.
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One thousand dollars is deposited into an ordinary annuity after each 6 month period for 2 years. The account pays 4 percent interest compounded semiannually.what is the future value of the account in 2 years ??
Answers
Answer:
$4121.61
Step-by-step explanation:
Use the formula for the balance of an ordinary annuity.
A = P((1 +r/n)^(nt) -1)/(r/n)
A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61
The future value of the account is $4121.61.
Find the measure of the numbered angle
Answers
Find 2 rational numbers greater than 1/4 whose product is less than 1/4
Answers
A rational number is a number that can be expressed as the ratio of 2 integers
The rational number, 1/3 is greater than 1/4
The product of 1/3 and 1/3 is
1/3 * 1/3 = 1/9
1/9 is less than 1/4
The rational numbers are 1/3 and 1/3
Pls help me slove this -2 1/3 - (-5) =
Answers
Answer:
4/3
Step-by-step explanation:
-2 1/3= -7/3
-5=-15/3
Answer:
If I'm reading this correctly, -2.33 or -2 1/3 - (-5) should equal to 2 2/3
Step-by-step explanation:
Since a minus sign is close to the minus sign inside the parantheses, you should turn the minus sign into a plus, giving you -2 1/3 + 5 which should equal to 2 2/3. Hope this helps
Synthetic division. (X^3+5x^2-x-9)+{x+2
Answers
Answer:
Step-by-step explanation:
What is the average rate from 1 - 3 units?
Answers
We can estimate the average rate of change of the blue curve over the interval [1, 3] to be 1.5
How to get the average rate of change?For any function f(x), we define the average rate of change on an interval [a, b] as:
R = ( f(b) - f(a))/(b - a)
In this case, we want to get the average rate of change from x = 1 to x = 3, by looking at the graph we can estimate the values:
f(1) = 7.5
f(3) = 10.5
Then the average rate of change on that interval is:
R = (10.5 - 7.5)/(3 - 1) = 1.5
So the average rate of change is 1.5
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A recipe for cinnamon rolls calls for 3 cups of flour for every cup of water. Using the same recipe, how much water will you need for 5 cups of flour?
How many cups of water will you need for 5 cups of flour?
Answers
Answer:
5/3 cups of flour
Step-by-step explanation:
3/1=5/x x representing the amount of water
cross multiply: 3x=5
divide by 3: x=5/3
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question.
Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell us?
44 53 66 1 18 80 12 43 79 60 22
Question content area bottom
Part 1
a. Find the mean.
The mean is enter your response here.
(Type an integer or a decimal rounded to one decimal place as needed.)
Please stop getting them wrong for me!
Answers
Answer:
(a) mean = 43.5
(b) median = 44
(c) mode = None
(d) midrange = 79.5
Step-by-step explanation:
I did this with a graphing calculator, the TI-84 Plus CE by Texas Instruments, highly recommend. You can find every function you need for stats in a graphing calculator.
To put the data into your calculator:
'stat' --> ' 1 : Edit...' --> put one value on each row
Go back to the main calculator with '2nd' --> 'quit'
Lastly go back to 'stat' and scroll to 'CALC' at the top, then click the first option, '1 : 1-Var Stats'
If you know the symbols it'll tell you a lot, and there are functions for genuinely everything in stats.
Please help ASAP 7p-13p+4-5p
Answers
Hello!
\(7p-13p+4-5p\\\\= 7p-13p-5p+4\\\\= -6p-5p+4\\\\\Large\boxed{= -11p + 4}\)
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answers
Answer:
B, C, E
Step-by-step explanation:
For a rectangle,
area = length × width
Let length = y.
Then the width is y - 5.
A = LW
750 = y(y - 5)
y(y - 5) = 750
y² - 5y - 750 = 0
All equations that can be put in the form above are correct.
A) y(y + 5) = 750
y² + 5y - 750 = 0
No
B) y² – 5y = 750
y² - 5y - 750 = 0
Yes
C) 750 – y(y – 5) = 0
750 - y² + 5y = 0
y²- 5y - 750 = 0
Yes
D) y(y – 5) + 750 = 0
y² - 5y + 750 = 0
No
E) (y + 25)(y – 30) = 0
y² + 25y - 30y - 750 = 0
y² - 5y - 750 = 0
Yes