Answer:
[tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Distributive Property
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{4(3x)^2}{(2x)^2}[/tex]
Step 2: Simplify:
Rewrite [Exponential Distributive Property]: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(3^2x^2)}{2^2x^2}[/tex][Order of Operations] Evaluate exponents: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(9x^2)}{4x^2}[/tex][Order of Operations] Multiply: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36x^2}{4x^2}[/tex]Simplify: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36}{4} ,\ x \neq 0[/tex][Order of Operations] Divide: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex][tex]\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}[/tex]
[tex]\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{36x^2}{4x^2}[/tex]
Take x^2 common and cancel.[tex]\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]
[tex]\\ \sf\longmapsto 9[/tex]
You might need: 3 Calculator
2
Find the area of the shape.
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.
units?
Answer:
3.14 or pi
Step-by-step explanation:
the area of a circle = [tex]pi * r^{2}[/tex] where r is the radius of the circle
this is 1/4 of the circle, so it would be 1/4 (pi * r²)
it shows that the radius is 2, so you have
1/4 ( pi * 2²)
= 1/4 ( pi * 4 )
= 1/4 (3.14 * 4)
= 3.14 units²
A couple of friends decide to race each other. Liam can run 5 meters per second, and Grace
can run 8 meters per second. Because he is slower, Liam also gets a head start of 12 meters.
Shortly after they start running, Grace will catch up to Liam. How far has Grace run at that
time? How long will that take?
Answer:
32 m
4 sec
Step-by-step explanation:
just trust me i did the math
Answer:
i agree with the other person
Step-by-step explanation:
What can you multiply by to find:
50% of a number?
10% of a number?
75% of a number?
Answer:
number · 0.50 = 50% of a number
number · 0.10 = 10% of a number
number · 0.75 = 75% of a number
Step-by-step explanation:
50% = 0.50
10% = 0.10
75% = 0.75
What is the coefficient in this expression? (34mn)
34
3
n
4
The coefficient in this expression is 34.
The first option is the correct answer.
What are variables and coefficients?The variable can have any value. That is, you can change the value of the variable. The value of the coefficient does not change, but changes in the value of the variable can change the value of the term containing the variable and the coefficient.
In formulas, coefficients are constants that are multiplied by variables. Consider the following equation: 3 x 2 + 5x-3 = 0. ax3 + x 2 = z. The values 3 and 5 in the first equation are the coefficients of the variable x.
Learn more about coefficient of expression here https://brainly.com/question/525935
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Find domain and range
f(x)=3x-5, f(2r)
help or i might have to retake this class next semester AHHHH
Answer:
f(2r) 6r - 5
Step-by-step explanation:
Substitute x = 2r into f(x) , that is
f(2r) = 3(2r) - 5 = 6r - 5
13 fasteners cost 78 cents find the cost for purchasing 4, 687 fasteners
First divide 4687 by 13 and then multiply the answer by 0.78. The answer would be:
4687÷13= 360.5384615
360.5 × 0.78 = $281.22
Please help asap!
the temperture fell from 10 degrees to -14 degrees while Ben was at work. if Ben worked 6 hours, what was the average hourly change in temperature?
Answer:
I think -24 for the hourly change
Step-by-step explanation:
10-24= -14
Answer: -4
Step-by-step explanation:
Subtract 10 by -14 to get -24 then divide by 6 because ben was at work for 6 hours to get -4
Find the area of the figure.
[tex]\huge \bf༆ Answer ༄[/tex]
At first Divide the figure into two rectangles, I and Il
Area of figure l is ~
[tex] \sf24 \times (40 - 30)[/tex][tex] \sf24 \times 10[/tex][tex] \sf240 \: \: ft {}^{2} [/tex]Area of figure ll is ~
[tex] \sf 18 \times 30[/tex][tex] \sf540 \: ft{}^{2} [/tex]Area of whole figure = Area ( l + ll )
that is equal to ~
[tex] \sf240 + 540[/tex][tex] \sf780 \: \: ft{}^{2} [/tex]what is 7 × 6 − 6 × 2 ÷ 8 + 99 − 5 ÷ 3 × 4
help me plz
Wellington has $21 to ride bumper cars and play games at the count fair. Suppose the bumper cars cost $3.50. Write and solve an inequality to find the most he can spend on games.
Answer: 17.50
Step-by-step explanation:
Find the value of x.
Answer:
X=24
Step-by-step explanation:
(X+16)°+6x=180°(being co-interior angle)
7x=180-16
X=164÷7
X=23.428
X=23
or,
(3x-1)+5x=180(being co-interior angle)
8x=181
X=181÷8
X=22.625=23
The price of a computer is first reduced by 10% and after a while by another 20%. Who is right? Explain how you are thinking.
Almir: In total, the price has been reduced by 30%.
Bodil: The reduction is less than 30%. Viktor: The price has been reduced by more than 30%.
if u reduced the price by 10% first it would go from 100% to 90%
20% of 90 is 18
at the end the price is 72% of the original price.
Bodil is correct. The reduction is less than 30%.
Your friend confides in you and tells you that his mom has HIV. explain what you would do to show how would use the empathy skill you just learn to empathize with your friend and his mom?
no link please
Answer:
You should support him or her
Step-by-step explanation:
Answer:1. Do not go near the mom
2 stay your distance from your friend
3 just say u feel bad for them
4 check your self for the disease
Step-by-step explanation:
How would you describe the graph for the equation lxl=2 ?
Two units down, line of symmetry at x=0, decreasing from negative infinity to 0, increasing from 0 to infinity
Need help on 19-21 homeowrk I don’t need the rest I couldn’t crop out so only 19 throught 21
Answer:
19. 7, 20. 4, 21. 1
Step-by-step explanation:
19. 21 = 3 x 7, 49 = 7 x 7, So they both share 7
20. 8 = 2 x 2 x 2, 52 = 2 x 2 x 13, they both have 2 x 2
21. 32 = 2 x 2 x 2 x 2 x 2, 81 = 3 x 3 x 3 x 3, they have nothing in common, so they share a 1.
[tex] \sf2 + 63 - 36 - 2[/tex]
Here's some points ~
Solve using substitution.
3x + 2y = -13
X – 9y = 15
Answer:
Step-by-step explanation:
x = 7/11, y = -16/11
pls help pls no links
Answer:
d
Step-by-step explanation:
when you are dividing like numbers with different exponents, subtract them
1.1046 rounded to the nearest whole number
Answer:
1
Step-by-step explanation:
Answer is 1
cuz nearest whole number, just check the next number that is nearest, that in this case is the decimal 1, hence, if it's 5 or above add a one to the whole number, if not then just write it as it is. in this case the nearest number is less than five so we just write it as 1.0000 or just 1
I am so confused on what to do with fractions.
Using the power rule for differentiation, the first derivative of
[tex]f(x) = -x^{\frac12}[/tex]
is
[tex]f'(x) = -\dfrac12 \cdot x^{\frac12-1} = -\dfrac12 x^{-\frac12}[/tex]
and the second derivative is
[tex]f''(x) = -\dfrac12 \cdot \left(-\dfrac12 \cdot x^{-\frac12 - 1}\right) = \dfrac14 x^{-\frac32}[/tex]
which makes E the correct choice.
If [tex]f(x-1)=2x+3[/tex] for all values of x, what is the value of [tex]f(-3)[/tex]
[tex]\\ \sf\longmapsto f(x-1)=2x+3[/tex]
Think about the value f(x-1) and f(-3).f(-3) can be written in the form of f(x-1) .How?
[tex]\\ \sf\Rrightarrow f(-3)=f(-2-1)[/tex]
As -3=-2-1Let's find x then
[tex]\\ \sf\Rrightarrow x-1=-3[/tex]
[tex]\\ \sf\Rrightarrow x=-3+1[/tex]
[tex]\\ \sf\Rrightarrow x=-2[/tex]
Now Substitute it in the function[tex]\\ \sf\longmapsto f(-2-1)=2(-2)+3[/tex]
[tex]\\ \sf\longmapsto f(-3)=-4+3[/tex]
[tex]\\ \sf\longmapsto f(-3)=-1[/tex]
What is 0.02349 written in standard form to 3 significant figures
[tex] \: \: [/tex]
b. 2.34 × 10 ^-20.0234 written as scientific notation is 2.349 × 10-2.hope it helpsAnswer:
b. 2.34 x 10 ^-2
Step-by-step explanation:
0.0234 written as scientific notation is 2.349 x 10-2
Would this be increase or decrease? 75 people to 25 people?
Answer:
decreased
Step-by-step explanation:
Here’s the zoomed graph!
Answer:
10x + 15
Step-by-step explanation:
Answer:
I dont know what the question is asking you but im assuming it was asking you what is the equation:
Slope = 10.
Equation: y=10x+15
Y-intercept: 15
---------------------
Hope this helps!
Step by step? Just ask.
Doubt? --> comment section.
Happy Holidays! (✿◡‿◡)
[tex]\sf 3(5x+4)[/tex]
[tex]\boxed{\sf Have \: a \: nice\: day!}[/tex]
Answer:
[tex]3(5x + 4) = 3 \times 5x + 3 \times 4 \\ = 15x + 12 [/tex]
Answer:
15x+12
Step-by-step explanation:multiply 5x + 4 by 3 hence answer is 15x +12
P^2 x 2p^4 x q x q^2
(m^2 x m^4) ÷ m^5 x m^2
Answer:
[tex]\huge\boxed{2p^6q^3}\\\boxed{m^3}[/tex]
Step-by-step explanation:
[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\p^2\cdot2p^4\cdot q\cdot q^2=(p^2\cdot2p^4)\cdot (q\cdot q^2)=2p^{2+4}q^{1+2}=2p^6q^3[/tex]
[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\a^n:a^m=a^{n-m}[/tex]
[tex](m^2\cdot m^4):m^5\cdot m^2=m^{2+4}:m^5\cdot m^2=m^{6-5}\cdot m^2=m^{1+2}=m^3[/tex]
Use the function z=7c to find the value of z when c=8.
Answer:
z = 56
Step-by-step explanation:
z = 7(8)
Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 2. 7, negative 0. 9, 1. 1, 3. 2, 5. 4. The third column is labeled predicted with entries negative 2. 84, negative 0. 81, 1. 22, 3. 25, 5. 28. The fourth column is labeled residual value with all entries blank. Does the residual plot show that the line of best fit is appropriate for the data? No, the points are in a curved pattern. No, the points are evenly distributed about the x-axis. Yes, the points are in a linear pattern. Yes, the points have no pattern.
The residual of a regression is the difference between the actual value and the predicted value
The true statement about the residual plot is (c) Yes, the points are in a linear pattern
The entries are given as:
x Given Predicted Residual
1 -2.7 -2.84
2 -0.9 -0.81
3 1.1 1.22
4 3.2 3.25
5 5.4 5.28
The residual of a line of best fit is calculated using:
[tex]Residual = Actual - Predicted[/tex]
Using the entry headings, the formula would be:
[tex]Residual = Given - Predicted[/tex]
So, the residuals of the 5 entries are:
[tex]Residual_1 = -2.7 - -2.84 =0.14[/tex]
[tex]Residual_2 = -0.9 - -0.81 =-0.09[/tex]
[tex]Residual_3 = 1.1 - 1.22 =-0.12[/tex]
[tex]Residual_4 = 3.2 - 3.25 =-0.05[/tex]
[tex]Residual_4 = 5.4 - 5.28 =0.12[/tex]
So, the entries become:
x Given Predicted Residual
1 -2.7 -2.84 0.14
2 -0.9 -0.81 -0.09
3 1.1 1.22 -0.12
4 3.2 3.25 -0.05
5 5.4 5.28 0.12
See attachment for the residual plot.
From the plot, we can see that the points are in a linear pattern.
Hence, the true statement about the residual plot is (c)
Read more about residuals at:
https://brainly.com/question/4333650
help pleaseeeeeeeeeeeee
Answer:
C
Step-by-step explanation:
if its not the same on both sides its not communitave. hope this helps
