Answer:
Steve is 18 and and his mother is 47.
Step-by-step explanation:
if you add those numbers you'll get 65
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
Fake Question So It Doesn't Get Taken Down (What is the gemological answer for 5.87 x 7?) Real Question: Whats something i could watch on Netflix?
So numberone.....
haikyuu: its really good but its does cuss a bit.
MakoMermaids: LOLOLOL this one is kinda a joke-but itsgood
Work It:I totally recommend this one! Its a funny movie about a girl starting a dance group. Its great.
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.
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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:
help! I’m not sure what this is
Answer:
Equation of line passing through points is: [tex]y=\frac{7}{2}x-6[/tex]
Step-by-step explanation:
Given points are;
(-4, -20) and (12, 36)
First we will find slope of the equation,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{36-(-20)}{12-(-4)}\\\\m = \frac{36+20}{12+4}\\\\m = \frac{56}{16}\\\\m = \frac{7}{2}[/tex]
Equation of a line is given by;
y = mx + b
Putting (-4, -20) in this equation to find b.
[tex]-20=\frac{7}{2}*-4+b\\-20 = -14 + b \\-20+14 = b \\b = -6[/tex]
The equation is;
[tex]y = \frac{7}{2}x - 6[/tex]
Hence,
Equation of line passing through points is: [tex]y=\frac{7}{2}x-6[/tex]
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]
a second truck arrives whose ladder, when extended,is 30 meters long. the base of this ladder is also 4 metres above the ground. for safety reasons, the max angle of elevation that the ladder can make is 70%
Answer: The maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
Step-by-step explanation:
A diagram for the given situation is attached.
To find: AC
In right triangle ABF,
[tex]\dfrac{AB}{AE}=\sin 70^{\circ}\\\\\Rightarrow\ \dfrac{AB}{30}=0.9397\\\\\Rightarrow\ AB=30\times0.9397\approx 28.19[/tex]
Now AC = AB + BC = 28.19 + 30 meters = 58.19 meters
Therefore, the maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
Factorise:
4x^2+4xy+y^2-2^2
Answer:
Step-by-step explanation:
4x^2 + 4xy + y^2 = (2x + y)^2
and if we assume that 2x + y = A and because 4 = 2^2
A^2 - 2^2 = (A-2)*(A+2) .
The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.
Scale factor: 4:5
Surface area: 160
volume: 704
Surface area: ?
volume: ?
Answer:
Surface area: 250
Volume: 1375
Step-by-step explanation:
Scale factor: 4:5
This means that the dimensions of the larger figure are 5/4 of those in the smaller figure.
Surface area:
The surface area is found multiplying the square of the change(5/4) by the original surface area(160). So
[tex]S = (\frac{5}{4})^2 \times 160 = \frac{25}{16} \times 160 = 25 \times 10 = 250[/tex]
Volume:
The volume is found multiplying the cube of the change(5/4) by the original volume(704). So
[tex]S = (\frac{5}{4})^3 \times 704 = \frac{125}{64} \times 704 = 125 \times 11 = 1375[/tex]
PLEASE HELP ITS DUE TODAY
Answer:
Its either answer B. or D. Sorry if I'm wrong and I hope this sorta helps.
Solve.
8d + 6 = 22
d =
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
How does Einstein expect us to do math?
Answer:
aaa
Step-by-step explanation:
Click the parts of the grid to shade 20% of the whole grid.
Am I supposed to shade in the whole grid if not please tell me how much to shade
Answer:u fill in 4 tiles
It’s a 4x5 square so there is 20 tiles
And 20 divided by 4 equals 5
So if u fill in 4 tiles it’s like filling in 1/5 aka 20%
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!! :)
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]
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
Can someone help with this mapping function I need help !
Answer:
A
Step-by-step explanation:
X's cannot have multiple outputs (y's) but y's can. The only one that prove thia is the case is A
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 temperature at 6:00 a.m. was -6°F. By 12 noon, the temperature had increased by 15°F. What was the temperature at
12 noon?
Answer:
9°
Step-by-step explanation:
-6 + 15 = 9
doar de la 1 pana la 9
6 points
15. Rectangle JKLM with vertices J(8, 11), K(14, 11), L(14,-4), and M(8,-4):
scale factor k = 1/3, centered of dilation at (5,2). What are the coordinates
of J'? *
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.
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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:
Evaluate the expression For x = 2 and y = 4
Answer:
ga is a counting number of times in
Step-by-step explanation:
k I have been working on this project for a year now so it will not care if we can get
expand the following 3x
k bye and sorry I have been thinking about traingle
Select the correct answer.
Which system of equations can be represented by this matrix?
Answer: C
Step-by-step explanation: As you most likely know, the matrix represents the system of equations. If you assume that x is the far left column, that y is the column adjacent to it, and that y is to the left of the line, you can assume that these are the equations represented:
1x-3y+2z=-9
1x+0y+1z=1
0x+2y-1z=7
which can be simplified to
x-3y+2x=-9
x+z=1
2y-z=7
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:
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.
Find the Values of X.