How do you solve (a^3b)^4(ab^6)^2?
Answers
Related Questions
Which is larger 5 miles or 26,300 ft?
Answers
1 mile = 5,280 ft.
5,280 × 5 = 26,400 ft.
So 5 miles is bigger.
In order to purchase a home, a family borrows $159,000 at 6.5% for 30 years. Use the table to find their monthly payment. Round the answer to the nearest cent.
a.
$954.00 c.
$1,186.14
b.
$1,006.47 d.
$1,276.36
Answers
Answer:
B
Step-by-step explanation:
Write the fraction as a percent. If necessary, round to the nearest tenth of a percent. 18/25
47.3%
48.6%
72%
73.4%
Answers
0.72 = 72%
graph of y=3 tan x ...?
Answers
will look like a stretched tan (x) by a factor of 3
It's not horizontal line
hope this helps
what does the expression 15 - 3[2+6 (-3] simplify to?
Answers
which is a factored form of 216p^3 + 125q^3?
Answers
you have: [tex] 216p^{3} + 125p^{3} [/tex]
Simplify it by factoring out [tex] p^{3} [/tex]-->>
[tex] p^{3} (341)[/tex]
Or, just add it-->>
[tex] 341p^{3} [/tex]
Thus, your answer.
The factored form of [tex]\( 216p^3 + 125q^3 \) is \( (6p + 5q)(36p^2 - 30pq + 25q^2) \).[/tex]
To find the factored form of the expression [tex]\(216p^3 + 125q^3\)[/tex], we can use the sum of cubes formula:
[tex]\[ a^3 + b^3 = (a + b)(a^2 - ab + b^2) \][/tex]
Where a = 6p and b = 5q.
Substituting these values into the formula, we get:
[tex]\[ 216p^3 + 125q^3 = (6p)^3 + (5q)^3 \][/tex]
[tex]\[ = (6p + 5q)((6p)^2 - (6p)(5q) + (5q)^2) \][/tex]
[tex]\[ = (6p + 5q)(36p^2 - 30pq + 25q^2) \][/tex]
Therefore, the factored form of [tex]\( 216p^3 + 125q^3 \) is \( (6p + 5q)(36p^2 - 30pq + 25q^2) \).[/tex]
Complete question:
What is the factored form of 216p³+125q³?
why must s-phase occur before mitosis?
...?
Answers
S phase happens after G1 phase and this is a crucial period because this is when DNA is copied. G2 phase then happens, which is prior to mitosis. Once this is complete, this then mitosis happens wherein the cells divides the contents of the nucleus between two daughter cells. Hope this answer helps.
A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 640t. After how many seconds does the projectile take to reach its maximum height? Show your work for full credit.
Answers
h(1)=−16(1^2)+(640)(1)
After simplification, the answer would be h = 624.
If you substituted 2 for t, you would see that h would get smaller. Each time you increased t, h would get smaller.
A baseball that usually cost $65 is on sale for $55.25. what is the percent off?
Answers
This table represents an exponential function.
What is the ratio of outputs for any two inputs that are 2 apart?
Divide the larger output by the smaller output.
Enter your answer in the box as a decimal to the nearest hundredth.
This is how the table looks
Number of Years from Now Value of a Scooter ($)
0|45
1|48.24
2|51.71
3|55.44
4|59.43
Answers
Answer:
it is 1.15 the dude on top is right it is 1.15 i took the test and it 1.15
Step-by-step explanation:
The output of the defined number operation indicates the operations involved in the function.
The ratio of outputs for any two inputs that are 2 apart is approximately 1.149.
Reasons:
The table is presented as follows;
[tex]\begin{array}{|cc|c|}Number \ of \ years \ from \ Now&&Value \ of \ a \ Scooter\\0&&45\\1&&48.24\\2&&51.71\\3&&55.44\\4&&59.43\end{array}\right][/tex]
The ratio of the outputs for two inputs that are 2 apart, with the larger output divided by the smaller output are;
[tex]Between \ 0 \ and \ 2; \dfrac{51.71}{45} = 1.149 \overline 1[/tex]
[tex]Between \ 1 \ and \ 3; \dfrac{55.44}{48.24} \approx1.1493[/tex]
[tex]Between \ 2 \ and \ 4; \dfrac{59.43}{51.71} \approx 1.149294140[/tex]
Therefore;
The ratio of outputs for any two inputs that are 2 apart is approximately 1.149.
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Please!!!!!!!!! I need this answers ASAP Pleas !!!!!!!!
Question 1
If y varies directly with x and y = 4 when x = 12, then what is the value of y when x = 60?
Question 2
If y varies directly with x and y = 3 when x = 12, then what is the value of y when x = 40?
Question 3
Suppose p varies directly with d, and p = 7 when d = 3. What is the value of d when p = 28?
Question 4
What is the direct variation equation for the table of ordered pairs?
x y
80 56
90 63
100 70
Question 5
What is the direct variation equation for the table of ordered pairs?
x y
60 48
70 56
80 64
Answers
2) 10
3) 12
4) y = 0.7x
5) y = 0.8x
Answer:
1) 20
2) 20
3) 12
4) 0.7
5)0.8
Step-by-step explanation:
when it asks questions like question 1 and 2 and 3 just take what the number is multiplied by
The table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours.
Estimate the value of T′(8). Give units in your answer.
What is the meaning of T′(8)?
t 0 2 4 6 8 10 12 14
T 73 73 70 68 73 80 86 89
Answers
We need to estimate the value of T'(8) and then we need to give the meaning of this value. Since we have a table and not an expression of a function our goal is to find the Average Rate of Change between two points.
For a nonlinear graph whose slope changes at each point, the average rate of change between any two points [tex](x_{1},f(x_{1}) \ and \ (x_{2},f(x_{2})[/tex] is the slope of the line through the two points. So:
[tex]ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} =\frac{Change \ in \ y}{Change \ in \ x}=m_{sec}[/tex]
1. Estimated value of T′(8).
T'(8) means the derivative of the function T(t) when t = 8 hours. So, we can estimate this value using the average rate of change:
[tex]ARC=\frac{T(8)-T(6)}{8-6} =\frac{73-68}{8-6}=\frac{5}{2} \ degrees \ per \ hours[/tex]
2. The meaning of T′(8)
This means the average temperature after midnight in Phoenix on March 15, from t = 6 to t = 8 hours, that is, for each hour the temperature rises 5/2 degrees on the Fahrenheit scale. The points have been plotted in the Figure bellow.
The rate of change of the temperature is 3 degrees Celsius per hour. This response means that temperature has an instantaneous increase rate of 3 degrees Celsius per hour at [tex]t = 8\,h[/tex].
We can estimate the rate of change of the temperature, in degrees Celsius per hour, by calculating the average of two consecutive secant lines, whose expression is presented below:
[tex]T'(t) \approx \frac{1}{2}\cdot \left[\frac{T(t+\Delta t)-T(t)}{\Delta t} + \frac{T(t)-T(t-\Delta t)}{\Delta t} \right][/tex] (1)
If we know that [tex]\Delta t = 2[/tex], [tex]T(6) = 68[/tex], [tex]T(8) = 73[/tex] and [tex]T(10) = 80[/tex], then the estimated value of the rate of change of the temperature is:
[tex]T'(8) = \frac{1}{2}\cdot \left[\frac{80-73}{2}+\frac{73-68}{2} \right][/tex]
[tex]T'(8) \approx 3\,\frac{^{\circ}C}{h}[/tex]
The rate of change of the temperature is 3 degrees Celsius per hour. This response means that temperature has an instantaneous increase rate of 3 degrees Celsius per hour at [tex]t = 8\,h[/tex].
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A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated. find p(b/not
a.
Answers
What is the length of the hypotenuse of a right triangle with leg lengths of 8 inches and 15 inches?
A. 13 inches
B. 17 inches
C. 21 inches
D.25 inches
Answers
Answer:
B.17 INCHESStep-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
just helping the other guy get brainliest.
What is the side length of a cube with a volume of 4913 m3? m
Answers
m = ∛4913
m = 17
So, your final answer is 17
Hope this helps!
Does it matter if you add azero when you divide a dcimal.
Answers
Answer:
no it does not matter
Step-by-step explanation:
Determine the volume of the right circular cone generated by rotating the line y = 1/3x about the y-axis between y = 0 and y = 3.
A) V = 81pi cu.units
B) V = 84pi cu.units
C) V = 82pi cu.units
D) V = 85pi cu.units
E) V = 83pi cu.units
Answers
Below is the solution:
Rotating around the y-axis; solve for x. y = x/3
x = 3y
Find x^2
x^2 = 9y^2
Integrating it using the limits of 0 and 3, remember to add the pi and integrate 9y^2.
The answer is 81pi cubic units which is A.
In this exercise we want to calculate the volume of a circular cone in this way we have that the rotation will be given by:
Letter A
First let's write the rotation in favor of the X, this will be equal to:
[tex]y = x/3\\x = 3y[/tex]
So substituting this value in the function we find that:
[tex]x^2 =(3y)^2= 9y^2\\\int\limits^3_0 {9y^2} \, dx =81 \pi[/tex]
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jack has no more than $24 to spend on DVD's for a party. Each DVD rents for $4. Find the maximum number of DVD's jack can rent for his party. answer must be written on a number line
Answers
$24/$4 = 6
Jack can rent a maximum of 6 DVD's
Answer:
Jack can rent a maximum of 6 DVD's
Step-by-step explanation:
Help!!!!!: Ben opened a credit card at a department store with an APR of 27.99% compounded monthly. What is the APY on this credit card?
2.33%
31.88%
39.27%
55.98%
Answers
Answer:
31.88%
Step-by-step explanation:
The monthly added compound interest will be:
3.89 %
The new APY interest on the credit card = 3.89 + 27.99
= 31.88 %
to express the polynomial d^2+d^3-d+3 in standard form, which term should be written first?
*the quartic term
*the constant term
*the cubic term
*the quadratic term ...?
Answers
Here, it should go like this: d^3 + d^2 - d + 3
This means that the term which should be written first is the cubic term.
Answer:
Option 3- the cubic term
Step-by-step explanation:
Given : Polynomial [tex]d^2+d^3-d+3[/tex]
To find : To express the polynomial in standard form, which term should be written first?
Solution :
The given polynomial [tex]d^2+d^3-d+3[/tex]
The standard form of polynomial is arranged according to the higher degree to the lowest degree.
The degree is the power, first the higher degree then the lower and last the constant term.
In our given polynomial the highest degree is 3 so it is the first term of the polynomial.
The standard form is [tex]d^3+d^2-d+3[/tex]
Therefore, The required result is the cubic term is written first.
being timed help
What is the common ratio for the geometric sequence?
43,4,12,36,...
Answers
see what number the previous term must be multiplied by to get the next term
4 *something = 12, 12*something=36
common ratio is 3
Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?
Answers
Answer:
B
Step-by-step explanation:
Solve the inequality W > Y plus H all divided by P for H.
Answers
So in order to solve this, let us eliminate the denominator by multiplying both sides by P so we get Wp > y + H. So to get the value of H, we are going to transfer y and it would look like this. Wp - y > H. So this is the final answer. Hope this helps.
Answer:
WP − Y > H
Step-by-step explanation:
I did the test and got it right
Which polynomial expression represents the area of the outermost square tile, shown below?
A square shaped tile with length x plus three is shown
x2 + 6x + 6
x2 + 9x + 6
x2 + 6x + 9
x2 − 6x + 9
Answers
Answer:
The correct answer is C, "x2 + 6x + 9."
Step-by-step explanation:
I just got it correct on the test.
Final answer:
To find the area of a square tile with sides of length x + 3, we square the binomial, resulting in the polynomial expression x² + 6x + 9, which represents the area of the square tile.
Explanation:
The question asks which polynomial expression represents the area of a square tile with sides of length x + 3. To find the area of a square, you multiply the length of one side by itself. In this case, the length of each side of the square is (x + 3), so the area of the square is (x + 3)(x + 3), or (x + 3)².
To expand this expression, we use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². Applying this formula to our expression, we get:
a = x
b = 3
(x + 3)² = x² + 2(3)x + 3²
(x + 3)² = x² + 6x + 9
Therefore, the correct polynomial expression that represents the area of the square tile is x² + 6x + 9.
14 inches of snow fell in 4 hours how much snow fell each hour
Answers
14 inches / 4 hours
14/4 = 3.5
3.5 inches of snow fell every hour.
Solve the equation below for y.
8x - 2y = 24
A. y= 4x - 12
B. y= 12 - 4x
C. y = 8x - 24
D.y = 4x - 8
Answers
Because 8x - 2y = 24 is equal to -2y = -8x + 24 is equal to y = 4x - 12.
The given equation, when solved for y gives y = 4x - 12.
Hence, option A is correct.
Given is an equation 8x - 2y = 24, we need to solve for y.
To solve the equation for y, you need to isolate y on one side of the equation.
Let's do that step by step:
Start with the original equation:
8x - 2y = 24
Get rid of the constant term on the left side by subtracting 8x from both sides:
-2y = -8x + 24
Now, we want to solve for y, so we need to get rid of the coefficient of y (-2).
To do that, divide both sides by -2:
y = (-8x + 24) / -2
Simplify the right side of the equation:
y = -8x / -2 + 24 / -2
Simplify further:
y = 4x - 12
So, the solution for y is:
A. y = 4x - 12
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Laura is baking a cake. The recipe says that she has to mix 64 grams of chocolate powder to the flour. Laura knows that 1 cup of that particular chocolate powder has a mass of 128 grams. She added two over three of a cup of chocolate powder to the flour. Should Laura add more chocolate powder to make the exact recipe or did she go over and by what amount?
She went over by one over three of a cup
She needs to add one over three of a cup
She needs to add one over six of a cup
She went over by one over six of a cup
Answers
1 cup of that particular chocolate powder has a mass of 128 grams: 1c = 128g
64 grams of chocolate powder is x cups.
1c = 128g
x = 64g
1c : 128 g = x : 64g
x = 1c : 128 g * 64 g
x = 0.5 c
64 grams of chocolate powder is 0.5 cups = 1/2 cups
She added two over three of a cup of chocolate powder: 2/3 cups
She need to add 1/2 cups: 1/2 = 3/6 cups
She added 2/3 cups: 2/3 = 4/6 cups
So she added 4/6 - 3/6 = 1/6 cups more.
A video rental company offers a plan that includes a membership fee of $6 and charges $2 for every DVD borrowed. They also offer a second plan, that costs $48 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. What is that total cost of either plan? How many DVDs is that?
Answers
Is 69 a prime or composite number
Answers
Answer:
composite
divisible by 3,1,69,23
Have a nice day!
Step-by-step explanation:
If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).
A. 17x – 2
B. 3x – 6x + 2
C. 3x + 14x – 2
D. 3x + 6x + 2
Answers
= 17x - 2
answer is A. 17x – 2
Answer:c
Step-by-step explanation: