the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A
To simplify the expression (3x²y³/z³)³, we need to apply the power of a power rule. In this rule, we raise each term inside the parentheses to the power outside the parentheses.
So, let's simplify step by step:
(3x²y³/z³)³ = 3³ * (x²)³ * (y³)³ / (z³)³
Simplifying further:
3³ = 27
(x²)³ = x²⁽³⁾ = x⁶
(y³)³ = y³⁽³⁾ = y⁹
(z³)³ = z³⁽³⁾ = z⁹
Combining all the simplified terms, we have:
27 * x⁶ * y⁹ / z⁹
Therefore, the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A. This expression represents the original expression after raising each term inside the parentheses to the power of 3 and combining them into a single term.
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Three times the sum of a number and 6 is less than 33
Answer:
3(x+6)<33
Step-by-step explanation:
So you want to write what you hear as you go along
3(the sum of a number and 6)<33 The number can be substituted for x or any variable
3(x+6)<33
What is the value of a for the following circle in general form?
X^2+y^2+ax+by+c=0
Answer:
ANSWER: 8 A_P_E_X
Step-by-step explanation:
Plug the radius and the center point into the equation, and convert it to general form to get your answer.
The value of a is 4.
What is the standard equation of a circle?The standard equation of a circle is given by
(x -h)² + (y-k)² = r²
The equation given is
x² + y² +ax +by +c = 0
a = -h * 1
(h,k) represents the coordinate for the center of the circle
h = -4 , k =2
a = -(-4) *1 = 4
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Simplify. (2m3n2)5 10m8n7 32m8n7 32m15n10 10m15n10
Answer:
10m15n10
Step-by-step explanation:
5x2m=10m
5x3n=15n
5x2=10
so you get 10m15n10
you can't simplify it anymore because none of them have the same variables
Answer:
32m15n10
Step-by-step explanation:
Just took the tests
HUGE POINTS!
tan x/2 =2,-1
The answers is 234 degrees.
How would I answer this.
Answer:
x=63.4 +k times 180, k e z
Step-by-step explanation:
The product of 2 and the cube of a number.
Answer:
2n + n³
There you go.
Answer:
2×n^3
Step-by-step explanation:
i believe this is correct
care e formula termenului general al sirului -2,0,2,-2,0,2,-2,0,2........?
Answer:
what language is that ??
Step-by-step explanation:
The temperature, T, for an oven can be described by the equation T = 44m +67 for the
first 10 minutes after it's turned on, where m is minutes. Find the T-intercept and interpret
its meaning in the context of the problem.
Answer:
T-intercept = 67
Step-by-step explanation:
Given
T = 44m + 67
Required
Calculate and interpret the t-intercept
To calculate the t-intercept, we simply set the number of minutes (m) to 0
i.e. substitute 0 for m in T = 44m + 67
T = 44 * 0 + 67
T = 0 + 67
T = 67
Hence, the T-intercept is 67
The interpretation is that the initial temperature when the oven is turned on is 67 degrees
3/8 plus 5/6 divided by 5 A. 4 13/25 B.3/14 C.13/24 D.2 3/8 HELP NOW !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Try working this out with decimals
3/8 = 0.375
5/6 = 0.833 Add these
Total = 1.20833
Now divide by 5
1.20833/5
.24166
I think I would use this as my answer, but if you want fractions ...
3/8 + 5/6 The common denominator is 24
3*3/3*8 = 9 / 24
5*4/6*4 = 20/24
9/24 + 20/24 = 29/24
Now divide by 5
==================
29 / 24 // 5/1 Invert the denominator and multiply
29/24 * 1/5 = 29/120
Does that equal the decimal result that we got?
29/120 = .24166 which is the same thing. The fractions are a little harder to handle than the decimals.
PLEASE HELPPP I AM BEING TIMED
Answer: It is eather A or D (sorry for my spelling)
Step-by-step explanation:
Part A: The Sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the Sun produce in 3.25 ⋅ 103 seconds? Express your answer in scientific notation and show your work. (5 points)
Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad:
1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Justify your answer. (5 points)
5914 1404 393
Answer:
A) 1.3×10^37 ergs
B) 1.435×10^3 mm
Step-by-step explanation:
A) The amount of energy will be the product of the energy rate and time:
(3.9×10^33 ergs/s)×(3.25×10^3 s) =12.675×10^(33+3) ergs
= 1.2675×10^(1+36) ergs
= 1.2675×10^37 ergs ≈ 1.3×10^37 ergs
The mantissa of the result is the product 3.9×3.25, adjusted to have one digit left of the decimal point. The exponent of the result is the sum of the exponents of the factors, adjusted by 1 to match the adjustment in the mantissa.
The final value should be rounded to 2 significant figures, reflecting the precision of the sun's energy production.
__
B) A millimeter is a small fraction of an inch. 10^-3 mm is a small fraction of the width of a human hair, so 1.435×10^-3 mm is not a reasonable estimate of the distance between railroad tracks.
On the other hand, 1.435×10^3 mm is 1.435 m, almost 56.5 inches. This is a much more reasonable measurement of the distance between railroad rails.
1.435×10^3 mm is more reasonable
Jancarlo is 5 years older than Allin. In 6 years, the sum of their ages will be 35. How old is both Jancarlo and Allin?
i dunno :) gggggggggggggggggggggggggg
PLS HELP ILL GIVE YOU FREE PIONTS AND BRAINLEST PLSSS
Answer:
B,D,C,A,E
Step-by-step explanation:
-1, -4/3, 1/2, 2, 2 1/4
Answer:
BDCAE
Step-by-step explanation:
hope this help
Does ANYONE know how to solve this?
Find each difference 1 1/2 + (-1/2)
Answer:
1 1/2 + (-1/2) is also 1 1/2 - 1/2.
the result is 1 whole, and 1 whole is also the difference between 1 1/2 and 1/2.
Say you have half of a cheese piece, but your friend has 1 whole cheese piece plus half of a cheese piece.
He/She has 1 more cheese piece than you, right? That's the difference between you and your friend's cheese. 1 whole.
If x=6, find the value of
Answer:
a) 10
b) 18
c) 3
Step-by-step explanation:
Answer:
A) 10
B) 18
C) 3
Step-by-step explanation:
A) 6 + 4 = 10
B) 3(6)= 18
C) 6/2 = 3
Combine like terms to create an equivalent expression. 20(-15r+0.75)
Answer:
-300r + 15
Step-by-step explanation:
Hope this helps!
What is 2/3 x 2 1/5 for fifth grade
Answer:
1 7/15
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
improper fraction: 22/15.
Find the equation of the line.
y = [? ]x + [ ]
Answer:
Y=4x+1
Step-by-step explanation:
If 10% of men are bald, what is the probability that fewer than 100 in a random sample of 818 men are bald? (Answers must be in 4 decimal values)
Answer: the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
Step-by-step explanation:
Given that;
p = 10% = 0.1
so let q = 1 - p = 1 - 0.1 = 0.9
n = 818
μ = np = 818 × 0.1 = 81.8
α = √(npq) = √( 818 × 0.1 × 0.9 ) = √73.62 = 8.58
Now to find P( x < 100)
we say;
Z = (X-μ / α) = ((100-81.8) / 8.58) = 18.2 / 8.58 = 2.12
P(x<100) = P(z < 2.12)
from z-score table
P(z < 2.12) = 0.9830
Therefore the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
Jack can long-jump 195% of his height with a running start. If Jack can long jump 97.5 inches, how tall is he? *
Answer: 190
Explanation: Divide 97.5 from 195% and then round.
The Jacks height from the given situation is 49.08 inches.
Given that, Jack can long-jump 195% of his height with a running start.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the height of jack be x.
So, 195% of x = 95.7
⇒ 195/100 × x=95.7
⇒ 1.95x=95.7
⇒ x=95.7/1.95
⇒ x=49.08 inches
Hence, the Jacks height from the given situation is 49.08 inches.
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IF YOU ANSWER THESE FOR ME...I'LL DO ANYTHING...anything...FOR you PLZ!!!!
All you are doing for these problems is plugging in your given x value into the equation given in the answer choices and seeing if you get the answer for “y” given in the table.
Answer:
For the first table:
A) y=5x-3 (plug in -6 in place of x and see if you get -33. Do the same for 3,9,-4,-5)
y=5(-6)-3=-30-3=-33
y=5(3)-3=15-3=12
y=5(9)-3=45-3=42
y=5(-4)-3=-20-3=-23
y=5(-5)-3=-25-3=-28
Your answer for the first image is A) y=5x-3
For the second image: (plug in 4 in place of x and see if you get 26. Do the same for -2,1,8,-3)
y=6x-2
y=6(4)-2=20-2=18 WRONG it should be 26
y= 6x+2
y=6(4)+2=24+2=26
y=6(-2)+2=-12+2=-10
y=6(1)+2=6+2=8
y=6(8)+2=48+2=50
y=6(-3)+2=-18+2=-16
Answer for image 2 is B) y=6x+2
Answer:
hi
Step-by-step explanation:
A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10 a pound. How many pounds of wooden blocks and plastic bricks should be used to make a 10-pound mixture that would sell for $80?
Answer: 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
Step-by-step explanation:
Let x = Quantity of wooden blocks.
y = Quantity of plastic bricks.
As per given , we ahve
5x+10y=80 (i)
x+y=10 (ii)
Multiply 5 on both sides of (ii), we get
5x+5y=50 (iii)
Eliminate (i) from (iii), we get
5y=30
⇒ y= 6
Put y=6 in (ii), we get
x+6=10
⇒ x= 10-6= 4
Hence, 4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
Mariel plans to run at least 4 miles each week for her health. Mariel has a circular route in the neighborhood to run. Once around that route is 140 yards. If Mariel runs that route 40 times during the week, will she cover at least 4 miles? Explain.
A. No, because 4 miles is yards, and 40 times around the route is yards, which is less than 4 miles.
B. Yes, because 4 miles is yards, and 40 times around the route is yards, which is the greater than 4 miles.
Answer: from what I remember it’s yes
Step-by-step explanation: Because I took the test but it won’t let me go back but if it’s not yes I’m sorry
Translate the sentence into an inequality.
The product of y and 2 is less than -22.
Answer:
2y<-22
Step-by-step explanation:
2y is 2 times y
<-22 is less than -22
Answer this equation -3(5g+1)+8g=
Answer:
-7g - 3
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining like termsStep-by-step explanation:
Step 1: Define expression
-3(5g + 1) + 8g
Step 2: Simplify
Distribute -3: -15g - 3 + 8gCombine like terms: -7g - 3Answer:
-7g - 3
Step-by-step explanation:
First, do distributive property. -3(5g+1)+8g= -15g-3+8g
Now combine like terms. (-15g + 8g) -3 =
-7g - 3 This is the answer since you can't combine a coefficient with a number without a variable.
Find the parabola with equation y = ax2 + bx whose tangent line at (2, 8) has equation y = 12x − 16.
Answer:
y = 4x(x-1)Step-by-step explanation:
Before we can calculate the equation of the parabola in the form
y = ax²+bx, we need to get the value of a and b.
First we need to set up a simultaneous equation as shown;
since y = ax²+bx
dy/de = y' = 2ax + b
Substitute the point (2, 8) into the equation
y' = 2a(2)+b
y' = 4a + b
Since y' is also the slope of the equation y = 12x-16, hence y' = 12 on comparison.
The equation becomes;
12 = 4a+b
4a+b = 12 ........... 1
Since the point (2, 8) is also on the parabola, then it must satisfy the equation y = ax²+bx
substitute the coordinate;
8 = a(2)²+b(2)
8 = 4a + 2b
4 = 2a + b
2a+b = 4 ........... 2
Solve equations 1 and 2 simultaneously
4a+b = 12 ........... 1
2a+b = 4 ........... 2
Substract both equation
4a - 2a = 12-4
2a = 8
a = 4
substitute a = 4 into equation 2 and get b;
From 2; 2a+b =4
2(4)+ b = 4
8+b = 4
b = 4-8
b = -4
Substitute a = 4 and b = -4 into the equation of the parabola y = ax²+bx
y = 4x²+(-4)x
y = 4x²-4x
y = 4x(x-1)
Hence the required equation of the parabola is y = 4x(x-1)
find positive exponent, simplify 3/3³
Answer:
0.11111111111
Step-by-step explanation:
It goes on forever
4t - 2 + t2 = 6 + t^2
g If there is a very weak correlation between two variables, then the coefficient of determination must be
Answer:
very close to or equal to zero
Explanation:
Correlation coefficients refer to the degree of relationship between two exclusive variables.
A weak correlation means that a change in one variable does not significantly affect or cause any reaction with the second variable.
For example, if the prices of coffee and the price of ballons are observed in the same period and found to have a correlation of +0.00006. This means that there is little or no correlation, or relationship, between the two variables. Weak relationships are usually between -0.1 and +0.1
Correlation coefficients can also be positive or negative.
It is positive if both factors seem to move in the same direction. As an example, if the price of stocks for Apple and Microsoft change in the same direction in the same period, they are said to have a positive correlation coefficient.
On the flip side, the correlation coefficient will be negative if the price of one stock moves upwards whilst the other moves downwards. A perfect negative relationship would read -1.
Cheers
Simply the fraction 280/3500
Answer:
2/25
Step-by-step explanation:
Just work it out