Answer:
The anwser is 340.194
Step-by-step explanation:
I knew the anwser because 1 ounce is 28.3495 then I times that by 12
Find the product or quotient using only positive exponents
Answer:
[tex]\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x^6}{6x^{-1}}[/tex]
Required
Solve
In laws of indices, we have:
[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]
So, the expression becomes:
[tex]\frac{3x^{6 - (-1)}}{6}[/tex]
[tex]\frac{3x^{6 +1}}{6}[/tex]
[tex]\frac{3x^7}{6}[/tex]
Divide 3 and 6 by 3
[tex]\frac{1x^7}{2}[/tex]
[tex]\frac{x^7}{2}[/tex]
This can be rewritten as:
[tex]\frac{1}{2}x^7[/tex]
Hence:
[tex]\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7[/tex]
f(x)=1/(6x+8)
Only value of x not in the domain?
Answer:The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
Step-by-step explanation:
How many solutions does 2x-4=4-2x have?
Answer:
8/4 or 2
Step-by-step explanation:
2 solutions
The equation 2x - 4 = 4 - 2x has a single solution, x = 2.
The equation 2x - 4 = 4 - 2x can be simplified and analyzed to determine the number of solutions.
First, let's simplify the equation by combining like terms:
4x - 4 = 4
Next, we can add 4 to both sides of the equation to isolate the variable:
4x - 4 + 4 = 4 + 4
This simplifies to:
4x = 8
Now, we divide both sides of the equation by 4 to solve for x:
(4x) / 4 = 8 / 4
This yields:
x = 2
Therefore, the equation 2x - 4 = 4 - 2x has a single solution, x = 2.
This means that when we substitute x = 2 into the original equation, both sides will be equal. Thus, the equation has a unique solution, indicating that the two sides of the equation represent the same line or point of intersection.
In summary, the equation has one solution, which is x = 2.
To learn more about the linear equation;
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This is the last question on my homework, whoever answers gets brainliest!
Answer: 0.7, 0.2, 0.1
Step-by-step explanation:
For this question, you have to convert each of the fractions into decimals.
You can directly convert 7/10 into a decimal, this is 0.7
You cannot directly convert 1/5 into a decimal, so you have to convert it into tenths first.
To do this, multiply the numerator and denominator by 2
1 x 2 = 2
5 x 2 = 10
2/10
Now you can convert 2/10 directly into a decimal, this is 0.2
And finally you can convert 1/10 into a decimal, this is 0.1
hope this helps :)
Answer:
Hi! The correct answer is 0.7, 0.2, 0.1!
Step-by-step explanation:
I answered this so you can give the other person brainliest! Have a nice day!
The function f(x) = –0.5x2 + 16x – 96 can be used to trace the path of a rocket, where the x-axis represents the ground and the y-axis measures the height of the rocket. The mathematical domain of the function is all real numbers.
The reasonable domain of the function is when 8 ≤ x ≤ x greater than or equal to eight but less than or equal to what value?
Answer:
24
Step-by-step explanation:
Put it in Desmos, and it’ll show you
The reasonable domain of the function is 8 ≤ x ≤ 24.7.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = -0.5x² + 16x – 96
The function represents the height of a rocket as a function of its horizontal position.
It is reasonable to assume that the rocket is launched from the ground
(x = 0) and that it has some minimum height (above ground level) before it is launched.
Now,
We can find this minimum height by finding the vertex of the parabola, which is given by.
x = -b / (2a)
where a = -0.5 and b = 16.
Plugging in these values, we get.
x = -16 / (2(-0.5))
x = 16
Now,
The vertex occurs at x = 16.
To find the minimum height, we can plug this value into the function.
f(16) = -0.5(16)² + 16(16) - 96
= 128
Therefore,
The rocket has a minimum height of 128 feet above ground level before it is launched.
To find the reasonable domain of the function.
Since the rocket is launched from the ground at x = 0 and has a minimum height of 128 feet, it is reasonable to assume that the rocket will remain above ground level for all values of x greater than or equal to 8, since the rocket must clear a height of 128 feet by the time it reaches x = 8.
Now,
We can find the x-value where the rocket reaches ground level
(i.e., its height is zero) by setting f(x) = 0.
Solving for x.
-0.5x² + 16x - 96 = 0
Using the quadratic formula.
x = ( -16 ± √(16² - 4(-0.5)(-96)) ) / (2(-0.5))
x = ( -16 ± √(1216) ) / (-1)
x ≈ 24.7 or x ≈ 7.3
Since the rocket is launched from the ground at x = 0, it is not reasonable to consider values of x less than 0.
Therefore,
The reasonable domain of the function is 8 ≤ x ≤ 24.7
This means,
The rocket will remain above ground level for all values of x between 8 and approximately 24.7.
Thus,
The reasonable domain of the function is 8 ≤ x ≤ 24.7.
Learn more about functions here:
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Change this radical to an algebraic expression with fractional exponents.
The exponent on y is:
Answer:
The exponent of y is 1
Step-by-step explanation:
Given
[tex]\sqrt{y^2[/tex]
Required
Convert to fractional exponent
Here, we simply apply the following law of indices:
[tex]\sqrt{x^m} = x^{\frac{m}{2}}[/tex]
So, the expression becomes:
[tex]\sqrt{y^2} = y^{\frac{2}{2}}[/tex]
[tex]\sqrt{y^2} = y^1[/tex]
[tex]\sqrt{y^2} = y[/tex]
From the above expression, the exponent of y is 1
V is the midpoint of GH. G has coordinates (5, -3), and V has coordinates (-1, 3). Identify the coordinates of H.
Answer:
(-7,9)
Step-by-step explanation:
The sum of three consecutive EVEN integers is is 138. Find the smallest integer.
Step-by-step explanation:
Let x be the smallest even integer.
Then (x + 2) and (x + 4) are the other even integers.
We have x + (x + 2) + (x + 4) = 138.
=> 3x + 6 = 138
=> 3x = 132
=> x = 44.
Hence the smallest integer is 44.
What would need to happen to create a ratio of 3:1?
Answer:
subtract 2
Step-by-step explanation:
Answer:
Divide an odd number by 3
Step-by-step explanation:
HELP PLEASE The 30% discount on a $49 dollhouse
Answer:
$14.70
Step-by-step explanation:
$49 x .30 = $14.70
-4y^5 + 6y^3 + 8y^2 - 2y
⚠️Answer needed quickly⚠️
*Brainliest to right answer*
Answer:
The rate of change is 7
Step-by-step explanation:
multiply x by 7 to get the y value
Can someone please help me out? What's the answer to 4 1/2 plus 3 3/4 ?
Answer:
8 1/4
Step-by-step explanation:
4 1/2 + 3 3/4 make the denominators the same
4 2/4 + 3 3/4 add the whole numbers
7 + 2/4 +3/4 add the fractions
8 1/4
Answer: 3
Step-by-step explanation:
I took 4 1/2 and made it an improper fraction which is 9/2 and then I took 3 3/4 and turned it into an improper fraction which is 15/4, so now you need to find the common denomerator which is 8 then you add the numerators which is 9 and 15 is 24 so can be divided by 8 so 24 divided by 8 is 3 and 8 divided by 8 is 1 so now you have another improper fraction 3/1 which is just 3. So that is how I got the answer!! :)
what is the slope? (IXL)
Answer:
The slope is 2/3.
Step-by-step explanation:
Rise over run.
HELP PLEASEEE
The table shows the relationship between the number of sunflower seeds and the number of packages of sunflower seeds.
Which rule describes the values in the table?
Number of Seeds, x 15 30 45 60
Number of Packages, y 1 2 3 4
Answer:
Step-by-step explanation:
Help me
Answer:
y=15+x
Step-by-step explanation:
What is the answer?!!!
Answer:
[tex]\displaystyle d = \sqrt{72}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, -3)
Point (8, -9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9--3)^2}[/tex](Parenthesis) Simplify: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9+3)^2}[/tex](Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(6)^2+(-6)^2}[/tex][√Radical] Exponents: [tex]\displaystyle d = \sqrt{36+36}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{72}[/tex]The area of a rectangular dining room is 16 square meters. The perimeter is 16 meters. What are the dimensions of the dining room?
Answer:
4
Step-by-step explanation:
The area is 16, and you know that it's 2 sides u need to multiply
The perimeter is 16, and you know that you need to add up all the sides
So....
A = b * h
A = 4 * 4
A = 16 CORRECT
And....
P = S + S + S + S ( s = sides)
P = 4 + 4 + 4 + 4
P = 16 CORRECT
Hope this helped!
Have a supercalifragilisticexpialidocious day!
PLEASE HELP ITS DUE TODAY
Answer:
Its either answer B. or D. Sorry if I'm wrong and I hope this sorta helps.
14 candy bars cost $5.20. How much would one cost? What is the unit rate?
Answer:
$0.37
Step-by-step explanation:
You can write this equation as, x=$5.20÷14.
This is because we know we are trying to find the x value for 1 candy bar. and 14 costs $5.20 in total. 14÷14=1. Therefore, we essentially divided the total sum among each individual candy bar. (example: if you wanted to find the value of 2 candy bars, you would take half of 14 and divide $5.20 by 7). $5.20÷14=$0.37 or 37 cents per candy bar.
Writing this as a rate is simple; it's $0.37/candy bar
Prime Factorization of 63 is 3 x 3 x 7.
What is the equivalent expression?
A. 23 x 7
B. 9x7
C. 32 x 7
D. 3x7
Answer: 9 x 7
Step-by-step explanation: 9 x 7 = 63
Hope this helps!
doar de la 1 pana la 9
Cindy is buying a new car and wants to learn how the value of her car will change over time. Insurance actuaries predict the future value of cars using depreciation functions. One such function is applied to the car whose declining value is shown at the right.
Answer:
um theres no picture or anything but when a value decreases in an equation its exponential decay...
In a collection of 40 coins, 45% of the coins are nickels? How many nickels are in the
collection?
F 20
G 15
H 18
J 24
Which of these is a solution to the equation ⅛ = ⅖ x? Use inverse operations to solve.
2/40
5/16
11/40
17/40
which are pairs of perpendicular lines?
Answer:
D
Step-by-step explanation:
The product of the slope of perpendicular lines = -1
y = (-1/4)x - 6 ; here slope = -1/4
y = 4x + 11 ; slope = 4
[tex]4 * \frac{-1}{4}=-1[/tex]
Choose three different colors to highlight the Statement in the proof and match it to it's angle or line segment in the diagram. Then use the textbox feature to write your 'Analysis' of the proof.
Will mark brainliest and 100 points and I attached an example and the one you are supposed to solve is also attached. Thank you
Answer:
See the attached
Step-by-step explanation:
The highlights are attached
If logx= -5, what is x?
Answer:
In Exact form: x = 1/100000
In Decimal form: 1 x 10^-5
Step-by-step explanation:
Answer:
0.00001
Step-by-step explanation:
Susan bought 12 ounces of candy. How many grams did she buy? show your work (please!)
40⋅8−10^2 what is the result
Answer:
220
Step-by-step explanation:
40 x 8 = 320, and 10 squared is 100. 320 - 100 = 220.
Step-by-step answer:
40x8-10^2
40x8-100
320-100
220
find all the zeros in the indicated finite field of the given polyomial with coefficients in that field x^5 3x^3 x^2 2x
Answer:
The answer is "Zeros are 0 and 4".
Step-by-step explanation:
Given equation:
[tex]\to x^5+3x^3+x^2+2x[/tex]
applying the by direct verification:
[tex]\to \phi_{0} (x^5+3x^3+x^2+2x) =0^5+3 \cdot 0^3+0^2+2 \cdot 0 \\\\[/tex]
[tex]= 0 \ mod \ 5 \\\\[/tex]
[tex]\to \phi_{1} \ (x^5+3x^3+x^2+2x) =1^5+3 \cdot 1^3+1^2+2 \cdot 1 \\\\[/tex]
[tex]= 1+3+1+2 \ mod \ 5 \\\\ = 2 \ mod \ 5[/tex]
[tex]\to \phi_{2} \ (x^5+3x^3+x^2+2x) =2^5+3 \cdot 2^3+2^2+2 \cdot 2 \\\\[/tex]
[tex]= 2+4+4+4 \ mod \ 5 \\\\ = 4 \ mod \ 5[/tex]
[tex]\to \phi_{3}\ (x^5+3x^3+x^2+2x) =3^5+3 \cdot 3^3+3^2+2 \cdot 3 \\\\[/tex]
[tex]= 3+1+4+1 \ mod \ 5 \\\\ = 4 \ mod \ 5[/tex]
[tex]\to \phi_{4} \ (x^5+3x^3+x^2+2x) =4^5+3 \cdot 4^3+4^2+2 \cdot 4 \\\\[/tex]
[tex]= 4+2+1+3 \ mod \ 5 \\\\ = 0 \ mod \ 5[/tex]