Answer:
n = 2
Step-by-step explanation:
Simplifying
(n + 8) + (n + -12) = 0
Reorder the terms:
(8 + n) + (n + -12) = 0
Remove parenthesis around (8 + n)
8 + n + (n + -12) = 0
Reorder the terms:
8 + n + (-12 + n) = 0
Remove parenthesis around (-12 + n)
8 + n + -12 + n = 0
Reorder the terms:
8 + -12 + n + n = 0
Combine like terms: 8 + -12 = -4
-4 + n + n = 0
Combine like terms: n + n = 2n
-4 + 2n = 0
Solving
-4 + 2n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2n = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 2n = 0 + 4
2n = 0 + 4
Combine like terms: 0 + 4 = 4
2n = 4
Divide each side by '2'.
n = 2
Simplifying
n = 2
Resolver 3 -2x=12 -6x
Answer:
x = 9/4
Step-by-step explanation:
Solve for x. Start by adding 6x to both sides, which results in 3 + 4x = 12.
Combine the constants, obtaining 4x = 9.
Dividing both sides by 4, we get x = 9/4.
Answer:
x=
mixed number form: 2 1/4
decimal form: 2.25
exact form: 9/4
Leah is solving the equation below using the properties of exponents.
2^2x-3 = (1/16)^3x+9
Here is Leah's work: (see attached picture)
Which line has Leah's mistake? What is Leah's mistake?
Answer:
Lea messed up on line one when you flip a fraction the exponents become negative hers haven't changed
Step-by-step explanation:
Can you help me in this question ASAP!!!
Answer:
increase
$750
y=750x+1000
help please and thank you
Answer:
Function: c = 2(m) + 5
A: Jason will spend $11 because 2(3) + 5 = (6 + 5) =11
B: No, because 2(7) + 5 = (14 + 5) = 19 and he only has 15 dollars.
Step-by-step explanation:
Cost = $2(the rate per mile) x (M)(miles driven) plus $5 (base cost)
For A and B I solved using the function.
A rectangular prism is made up of 320 unit cubes. The prism is 8 unit cubes wide.
Which could be the other dimensions of the rectangular prism? Choose all the possible dimensions.
A. 4 unit cubes long
10 unit cubes high
B. 5 unit cubes long
8 unit cubes high
C. 8 unit cubes long
5 unit cubes high
D. 8 unit cubes long
8 unit cubes high
E. 10 unit cubes long
4 unit cubes high
F. 20 unit cubes long
2 unit cubes high
G. 20 unit cubes long
20 unit cubes high
H. 25 unit cubes long
15 unit cubes high
Answer:
A, B, C, E, F.
Step-by-step explanation:
320 / 8 = 40
So the length times the height of the prism will be 40.
So the possible dimensions are
A ( 4 * 10).
B.
C.
E.
F
The option (A), (B), (C), (E), and (F) are correct because the multiplication of the length and height is 40.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
We have volume of rectangular prism = 320 cubic unit
Width of the rectangular prism = 8 unit
320 = l×w×h
320 = 8l×h
l×h = 40
So the multiplication of the length and height should be 40
A. 4 unit cubes long and 10 unit cubes high:
l×h = 4×10 = 40
B. 5 unit cubes long and 8 unit cubes high:
l×h = 5×8 = 40
C. 8 unit cubes long and 5 unit cubes high:
l×h = 8×5 = 40
D. 8 unit cubes long and 8 unit cubes high:
l×h = 8×8 = 64
E. 10 unit cubes long and 4 unit cubes high:
l×h = 10×4 = 40
F. 20 unit cubes long and 2 unit cubes high:
l×h = 20×2 = 40
G. 20 unit cubes long and 20 unit cubes high:
l×h = 20×20 = 400
H. 25 unit cubes long and 15 unit cubes high:
l×h = 25×15 = 375
Thus, the option (A), (B), (C), (E), and (F) are correct because the multiplication of the length and height is 40.
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If a painter paints 3 rooms in 1/2 day, what would be a reasonable estimate, how many rooms would painter paint in working 5 days? What is painters rate of painting in rooms painted per day? *
Answer:
Rate per day: 6 rooms
estimate: 6*5 = 30 rooms
Describe the domain and range. Graph the function. What do I do with the -3? The graph shows that y and x are at 0 so...?
Answers:
Domain: all real numbers
Range: [tex]y \le 6[/tex]
Graph is below.
====================================================
Explanation:
This is a piecewise function that is composed of two parts:
The first piece being y = x+6 but only when [tex]x \le 0[/tex]The second piece occurs when x > 0 and that piece is y = -3xThis piecewise function has split identities or multiple aliases so to speak. It all depends on what the x input is.
The graph is shown below.
The domain is the set of all real numbers since any x value will lead to some y output. Even x = 0 itself is allowed. Note the arrows indicate the graph stretches on forever to the left and to the right.
The range on the other hand isn't all real numbers. Instead, it's [tex]y \le 6[/tex] indicating that y = 6 is the largest y can get. Simply locate the highest point on the graph (similar to the concept of the vertex) and you'll spot the highest y value.
Side notes:
The domain in interval notation is [tex](-\infty, \infty)[/tex] which encompasses the entire real number line.The range in interval notation is [tex](-\infty, 6][/tex] where the square bracket includes the endpoint 6.7.21. For a group of 100 people, compute a. the expected number of days of the year that are birthdays of exactly 3 people; b. the expected number of distinct birthdays.
The expected number of a dataset is the mean of the dataset
The expected number of selection is: [tex]\mathbf{E(x) =365\times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{97}}[/tex]The expected number of distinct birthdays is: [tex]\mathbf{E(x) = 365\times (1 - (\frac{364}{365})^{100})}[/tex]The given parameters are:
[tex]\mathbf{n = 100}[/tex] --- sample size
[tex]\mathbf{r = 3}[/tex] --- selection of 3 people
(a) The expected number of birthdays
The probability of a having a birthday on a certain day is:
[tex]\mathbf{p = \frac{1}{365}}[/tex]
The probability of not having a birthday on the day is:
[tex]\mathbf{q = \frac{364}{365}}[/tex]
For a selection of 3 people in 100, the expected number of selection is:
[tex]\mathbf{E(x) =Days \times ^{100}C_3 \times p^3 \times q^{100 - 3}}[/tex]
So, we have:
[tex]\mathbf{E(x) = Days \times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{100 - 3}}[/tex]
Rewrite as:
[tex]\mathbf{E(x) =Days \times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{97}}[/tex]
There are 365 days in a year.
So, the expression becomes
[tex]\mathbf{E(x) =365\times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{97}}[/tex]
(b) Expected number of distinct birthdays
The probability that a person from the has his birthday on a certain day is:
[tex]\mathbf{p = 1 - (\frac{364}{365})^{100}}[/tex]
For 365 days, the expected number of distinct birthdays is:
[tex]\mathbf{E(x) = Days \times (1 - (\frac{364}{365})^{100})}[/tex]
There are 365 days in a year.
So, the expression becomes
[tex]\mathbf{E(x) = 365\times (1 - (\frac{364}{365})^{100})}[/tex]
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need the answer noww pls
Solve for x
12x = 22
=
Give your answer as an improper fraction in its
simplest form.
X =
Answer: 11/6 0r 1 5/6
Step-by-step explanation:
12x = 22
x = 22/12
x = 11/6 or 1 5/6
Please help me I don’t understand this
Answer:
14/15
Step-by-step explanation:
9/15+5/15=14/15
3/5+1/3
common denominator is 15 ( just think about the 3 times table and 5 times table )
5*3=15
3*5=15
Multiply the denominator and numerator by 3 for 3/5
Multiply the denominator and numerator by 5 for 1/3
(3)(3)/(5)(3) +(1)(5)/3(5)
9/15+5/15= 14/15
Answer : 14/15
Evaluate x + y - 4 when x = 4 and y = 1
Answer:
1
Step-by-step explanation:
Subsitute x and y:
x + y - 4
= 4 + 1 - 4
= 1
How many ways can you arrange 2 letters from the word S Q U A R E
Answer:
30
Step-by-step explanation:
WE use permutation for this question:
since the letters in SQUARE are all distinct, so：
[tex]^{6}P_{2} = 6*5=30[/tex]
The number of ways of arranging 2 letters from the word S Q U A R E is given by A = 15 ways
What are Combinations?The number of ways of selecting r objects from n unlike objects is given by combinations
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
Let the number of ways of arranging 2 letters from the word S Q U A R E be represented as A
Now , to select 2 letters from the 6 letters in the word SQUARE, without regard to order.
This is a combination problem, since the order in which we select the letters does not matter. Therefore, we can use the formula:
6 C 2 = 6! / 2!(6 - 2)!
= 6 x 5 / (2 x 1) x (4 x 3 / (2 x 1))
= 15
Hence , there are 15 ways to arrange 2 letters from the word SQUARE
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A 7-kg bag of apples for $10
Answer:
finish the question
Step-by-step explanation:
How many weeks are there a month?
Answer:
4 weeks
Step-by-step explanation:
Answer:
About 4 weeks
Step-by-step explanation:
a basketball game that costs 35 was put on sale at a 15 discount what was the sale price of the basketball
Answer: before the sale, the basketball game was $50.00 .
Step-by-step explanation: you do $35.00 + 15% and you would get $50
you are helping your mom cook christmas dinner. you can peel 2 potatoes per minute. you need 60 potatoes to feed the entire group. How long will it take you to finish if you have already peeled 18 potatoes?
Answer: 21 mins to peel the balanced potatoes
Step-by-step explanation:
Part C What conclusion can you draw from this? To determine whether they used the same number of tiles, set the two expressions equal to each other and solve for x. Is there a solution for x? Why or why not? If there is a solution, what is it?
Answer:
We can conclude that someone used more tiles then the other because both equations are not equal.
Step-by-step explanation:
If you try to solve it both equations will not be shown as equal.
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
The domain and range of the functions are:
Function (A):
Domain: (-2, -1, 0, 2); Range: -4Function (B):
Domain: (-4, -2, 1, 4); Range: -8What are domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest.So, the domain and range of the function:
Function (A):
Domain: (-2, -1, 0, 2)Range: -2 -2 = -4Function (B):
Domain: (-4, -2, 1, 4)Range: -4 -4 = -8Therefore, the domain and range of the functions are:
Function (A):
Domain: (-2, -1, 0, 2); Range: -4Function (B):
Domain: (-4, -2, 1, 4); Range: -8Know more about the domain and range here:
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Solve for x: 2/3 = x-1/5
Answer: x=13/3
Step-by-step explanation:
Eliminate the parameter, t, in the parametric equations, x = 3cos(t) and y = -6sin(t).
A) 2 x2 + y2 = 36
B) x2 + y2 = 2
C) 4 x2 + y2 = 36
D) x2 + y2 = 36
Recall that
cos²(t) + sin²(t) = 1
Then solving for cos(t) and sin(t), we have
x = 3 cos(t) ===> cos(t) = x/3
y = -6 sin(t) ===> sin(t) = -y/6
so that the above identity gives us
(x/3)² + (-y/6)² = 1
x²/9 + y²/36 = 1
36 (x²/9 + y²/36) = 36
(C) 4x² + y² = 36
The parametric equation in the Cartesian form is 4x² + y² = 36 the correct choice is (C).
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
We have two parametric equations:
x = 3cos(t) and
y = -6sin(t).
As we know, the trigonometric identity:
sin²θ + cos²θ = 1
For checking the option (A):
2x² + y² = 36
= 2(3cos(t))² + (-6sin(t))²
= 18cos²t + 36sin²t ≠ 36
Similarly, for checking the option:
4x² + y² = 36
= 4(3cost)² + (-6sint)²
= 36cos²t + 36sin²t
= 36(cos²t + sin²t)
= 36(1) = 36
Thus, the parametric equation in the Cartesian form is 4x² + y² = 36 the correct choice is (C).
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Select the algebraic definition for the piecewise function graph.
Answer:
I don't the answer man sorry
Please fill in this graph for brainliest. EASY:):):)
Answer:
Rounded up percentages:
Corn: 15.65%
Green Beans: 16.52%
Tomatoes: 6.96%
Carrots: 13.04%
For exact percentages divide this with a calculator:
Corn: 360/2300
Green Beans: 380/2300
Tomatoes: 160/2300
Carrots: 300/2300
I dont understand this question and i keep getting it wrong.
Answer:
48
11
Step-by-step explanation:
5 glasses ------ 20 sec
12 glasses ------ ?
so 5 * x = 12 * 20
x = 12 * 4
x = 48
12 glasses ------- 48 sec
? glasses ------- 44 sec
so 12 * 44 = x * 48
44 = x * 4
x = 44/4 = 11
x = 11
Answer:
12 - 48
11 - 44
Step-by-step explanation:
20 ÷ 5 = 4
12 · 4 = 48
44 ÷ 4 = 11
I hope this helps!
the ranch house serves a 24 oz sirloin steak that has a total of 1,800 calories. how many calories per ounce does the steak have
The amount of calories per ounce does the steak have is 75 calories per ounce.
Using this formula
Calories per ounce=Total calories/Number of oz sirloin steak
Where:
Total calories=1,800 calories
Number of oz sirloin steak=24 oz
Let plug in the formula
Calories per ounce=1800/24 oz
Calories per ounce=75 calories per ounce
Inconclusion the amount of calories per ounce does the steak have is 75 calories per ounce.
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Asher's sister is eight years older than
Asher. Their combined ages add up to 20.
How old is Asher?
Equation:
Solution:
if 2+8=10 then 12+8=20 so Asher is 12 years old while His sister is 20 cus we're adding Ash age to his sister which we don't kno what her age is but at the same time we both know that whatever her age is it adds up to 20
The quotient of a number and -4 is -9
Answer:36
Step-by-step explanation:36÷ -4 = -9
The answer would be 36 which is 36÷ -4 = -9 after applying the arithmetic operation.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
The quotient of a number and -4 is -9
Mathematically we can write:
x ÷ -4 = -9
x/(-4) = -9
x = 36
OR
36 ÷ -4 = -9
Thus, the answer would be 36 which is 36÷ -4 = -9 after applying the arithmetic operation.
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graph the function f(x) = 3(4)^x
Answer:
That depends on how accurate you are with pen and paper.
You can tell it's a growing exponential, so the form is the traditional one. If you are particularly inclined in crunching numbers and working on a grid I would pick 0, 1 and -1, 1/2 and -1/2, a few positive integers, and that's it.
If not, i would be satisfied saying that when x = 0 (ie, the y intercept) y= 3, and that's all. Then, my drawing is made with paint, don't expect a masterpiece.
-74 = 4/9x - 2 equation
Answer -162
Step-by-step explanation:
Answer:
=−162
Step-by-step explanation:
Match each system of equations to its point of intersection.
y = 2x + 1
y = x + 3
y = x + 3
y = -3x - 2
y = -x - 7
y = x + 3
y = -x - 7
y = 2x + 1
y = 2x + 1
y= -3x - 2
Answer:
1. (2,5)
2. (-1.25, 1.75)
3. (-5,-2)
4.(-2.66, -4.33)
5. (-0.6, -0.2)
Step-by-step explanation:
Solve by substituting the y's and solve for x. Plug in x into one of the equations and find the y value for your point of intersection
Answer:
Ur reatarded
Step-by-step explanation:
