Answers
Answer:
2a:
[tex]a^6+\frac{64}{125} =(a^2)^3+(\sqrt[3]{\frac{64}{125} })^3[/tex]
Now, we can apply the sum of cubes formula that goes:
[tex]x^3+y^3=(x+y)(x^2-xy+y^2)[/tex]
Therefore,
[tex](a^2)^3+(\sqrt[3]{\frac{64}{125} })^3=(a^2+\frac{4}{5})(a^4-\frac{4a^2}{5}+(\frac{4}{5} )^2)[/tex]
[tex]=(a^2+\frac{4}{5})(a^4-\frac{4a^2}{5}+\frac{16}{25} )[/tex]
---------------------------------------------
2b:
[tex]16x^8-y^4=(4x^4)^2-(y^2)^2[/tex]
Now, we can apply the difference of two squares formula that goes:
[tex]x^2-y^2=(x+y)(x-y)[/tex]
Therefore,
[tex](4x^4)^2-(y^2)^2=(4x^4+y^2)(4x^4-y^2)[/tex]
You can apply the difference of two squares formula again:
[tex](4x^4+y^2)(4x^4-y^2)=(4x^4+y^2)((2x^2)^2-y^2)[/tex]
[tex](4x^4+y^2)(4x^4-y^2)=(4x^4+y^2)(2x^2+y)(2x^2-y)[/tex]
Related Questions
Steven walked 3 miles and drove 24 miles. Maureen walked 3 miles and drove
18 miles. Who has the greater ratio of miles walked/miles driven?
Answers
what is the HCF of 2x and x
Answers
HCF (2x, x) = x.
Factors of 2x = 2 × x × 1
Factors of x = x × 1
Common factors = x, 1
HCF = x × 1 = x
See the attachment too.
________
Hope it helps ⚜
How do I do this math !
Answers
Answer:
The equation of a straight line is always
[tex]y=mx+b[/tex]
The constant m always refers to the slope, and the constant b always refers to the y-intercept.
Simply substitute the numbers in:
[tex]y=-\frac{1}{2}x+3[/tex]
There's your equation!
¿Qué fuerza media se requiere para que un objeto de 2 Kg aumente su velocidad de 5 m/s a 12 m/s en una distancia de 8 m?
Answers
Answer:
14.87
Step-by-step explanation:
Para conocer cual es la fuerza que necesita el cuerpo para aumentar su velocidad de 5 m/s a 12 m/s en 8 m
Necesitamos conocer la aceleración y para conocer la aceleración debemos saber cuanto tiempo tarda en recorrer los 8m
Vf = Vo +a(t)
12 = 5 +a(t) -------> Vamos a despejar el tiempo.
t = 7/a
X= Vo(t) +1/2a(t²)
X= 5(7/a)+1/2a( 7/a )²
8 = 35/a+49/2a
a = 7.43 m/s²
Ahora que conocemos la aceleración podemos calcular la fuerza como:
F = m*a
F = 7.43 * 2 kg.
F = 14.87
Find the value of x.
(8x + 2)°
60°
Y
70°
Z
Answers
Here according to angle sum property all angles sum u up 180°
So,
[tex]8x + 2 + 60 + 70 = 180 \\ 8x + 132 = 180 \\ 8x = 180 - 132 \\ 8x = 48 \\ x = \frac{48}{8} \\ x = 6[/tex]
- BRAINLIEST answerer
Abby has $32 to spend on party supplies. After buying 9 packs of noisemakers, she has $20 left.
How much did each pack of noisemakers cost?
A
$0.75
B
$1.15
C
$1.33
D
$12.00
Answers
Answer:
$1.33
Step-by-step explanation:
32-20 = 12
12/9 = $1.33
Suppose a population is of size N is 1,000,000. Compute the correction factor for the SE of the sample mean, when the sample size, n, is equal to 1,000; 10,000; and 100,000.
Answers
Answer:
90081???
Step-by-step explanation:
If AD = 12 and BD = 14, what is CD?
Write your answer as a whole number or as a decimal rounded to the nearest hundredth.
a. 7
b. 10.29
C. 12.54
d. 16.33
Answers
Answer: D. 16.33
Step-by-step explanation:
Your cell phone bill in August was $61.43, which was $21.75 more than your bill in July. Your cell phone bill in July was $13.62 less than
in June. What was your cell phone bill in June?
Answers
Answer:
$53.30
Step-by-step explanation:
61.43-21.75=39.68 is the cell phone bill in July.
39.68+13.62= 53.30 is the phone bill in June.
Answer:
53.30
Step-by-step explanation:
August= 61.43
July= (61.43-21.75) or 39.68
June= (39.68+13.62) or 53.30
Hope this helps! :)
Please help me :/!!!!
Answers
Answer:
(3, 9)
Step-by-step explanation:
Set 3x and 2x+3 equal to each other forming an equation in x.
3x=2x+3
Solve for x.
x=3
Substitute the given value of x into the equation y=3x.
y=3x3
Solve for y.
y=9
(x, y) = (3, 9)
Hope this helps :)
What is the first step needed to solve (2/5)x - 6 = -16
Answers
Answer:
Add 6 to both sides
Step-by-step explanation:
The (usual) first thing to do when solving any equation is to simplify both sides of the equation. However, since we have nothing to simplify, we move onto the next step that'll be the first step: isolating the variable, x. To do so, we must do the inverse of subtracting 6 (which is adding 6).
Can someone help with question #4 please
Answers
Answer:
4,0 is the right ok I am a professor
work out the value of 35-3×9
you must remember to do the bidmas or bodmas in those type of question
First you must try to do multiplie this question 3×9 = 27
than subtract
35-27 =8
8 is final answer
Answers
Answer:
8
Step-by-step explanation:
35-3×9=35-27
=8
Hope this helps!!!
7. Add [-6-2 2] + [-3 2 1].
A. [-9-3-5]
B. [-3 0 3]
C. [-6 0 3]
D. [-9 0 3]
Answers
The owner of Get-A-Away Travel has recently surveyed a random sample of 496 customers to test the mean age of the agency's customers is over 24 . The appropriate hypotheses are H0: μ ⤠24, Ha: μ > 24 If he concludes the mean age is over 24 when it is not over 24, he makes a _error.
Answers
Using error concepts for hypothesis tests, it is found that there is a Type I error.
A Type I error happens when a true null hypothesis is rejected.
A Type II error happens when a false null hypothesis is not-rejected.
In this problem, the null hypothesis is:
[tex]H_0: \mu = 24[/tex]
The alternative hypothesis is:
[tex]H_1: \mu > 24[/tex]
He concludes that the mean age is over 24 when it is not, that is, a true null hypothesis is rejected, hence there is a Type I error.
A similar problem is given at https://brainly.com/question/25225353
Given log_73≈0.5646 and log_716≈1.4248, evaluate the expressions. Please show work using given values.
Answers
Answer:
(a) [tex]\log_72 \approx 0.3562[/tex]
(b) [tex]\log_7(\frac{147}{16} ) = 2[/tex]
Step-by-step explanation:
For the point a:
For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex]
16 can be re-write as [tex]2^4[/tex]. Then you have:
[tex]\log_72^4[/tex]
Using the power property of the logarithm we have:
[tex]\log_ba^c = c\log_ba[/tex]
[tex]\log_72^4 = 4\log_72[/tex]
And this expression is equal to:
[tex]4\log_72 \approx 1.4248\\\log_72\approx \frac{1.4248}{4} \approx 0.3562\\[/tex]
For the point b:
For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex] and [tex]\log_73 \approx 0.5646[/tex]
The first is use the quotient property in the given log.
[tex]\log_c\frac{a}{b} = \log_ca-\log_cb[/tex]
[tex]\log_7\frac{147}{16} = \log_7147 -\log_716[/tex]
We already know the value of [tex]\log_716[/tex] then we have to calculate the value of [tex]\log_7147[/tex].
So we factorize the number 147 in [tex]3 \cdot 7 \cdot 7[/tex] (for factorize the number start with the smaller prime and check if the remainder is 0, it is then is a primer factor of the number).
Now re-write [tex]\log_7147[/tex] as [tex]\log_73 \cdot 7^2[/tex] and by the product property get:
[tex]\log_bmn = \log_b m +\log_b n\\\log_73 \cdot 49 = \log_7 3 +\log_7 49 = 0.5646 + 2 = 2.5646[/tex]
Know replace each value in the subtraction and get the result:
[tex]\log_7147 -\log_716 = 2.5646 - 0.5646 = 2[/tex]
Denise is going on a road trip with some friends. For the first leg of their trip, they drive on the highway for 2.5 hours before taking an exit. If they maintain a steady pace of 64 miles per hour, how far do they drive on the highway?
Answers
Answer:
160
Step-by-step explanation:
We know that [tex]\left \{ {{t=2.5} \atop {v=64}} \right.[/tex]
Formulate and substitute: [tex]d=2.5[/tex]×[tex]64[/tex]
Calculate the product or quotient: [tex]160[/tex]
Answer: [tex]160[/tex]
Write the equation of the line that passes through (-2, 4) and is perpendicular to x = 3.
Answers
Check the picture below.
This table shows data collected by a runner.
A three column table with 7 rows. The first column, Time in minutes, has the entries, 1, 2, 3, 4, 5, 6. The second column, Distance in miles, has the entries, 0.19, 0.38, 0.57, 0.76, 0.95, 1.14. The third column, Elevation in meters, has the entries, 12, 28, 67, 98, 124, 145.
Which statement about the scenario represented in the table is true? Assume time is the independent variable.
The distance run is a nonlinear function because it does not have a constant rate of change.
The elevation is a nonlinear function because it does not have a constant rate of change.
Both the distance run and the elevation are nonlinear functions because they do not have constant rates of change.
Both the distance run and the elevation are linear functions because they have a constant rate of change.
Answers
Answer:
a
Step-by-step explanation:
Answer:
The correct answer is B, The elevation is a nonlinear function because it does not have a constant rate of change.
Step-by-step explanation:
If 11% of a number equals 4, find 66% of that number.
Answers
Answer:
363/20,000
.................................................................................
Answer:
24
Step-by-step explanation:
Let the number be " x ".
11 % of x = 4
( 11 / 100 ) * x = 4
x = 4 * ( 100 / 11 )
x = 400 / 11
66 % of that number
= 66 % of x.
= 66 % of 400 / 11
= ( 66 / 100 ) x ( 400 / 11 )
= ( 66 x 400 ) / ( 100 x 11 )
= 6 x 4
= 24
at does the point (2, 1.5) represent in this context?
Answers
In what context? Do you mean calculus If you are talking about graphing on a graph plane it would be the two accelerates on the x axis so (left or right) and then the 1.5 accelerates on the y axis so 1.5 on the y axis would be one and halfway to the 2 mark on the y axis so in the middle of 1 to 2 on the y axis the y axis goes (up and down)
What is the average number of 20 14 28 18
Answers
Step-by-step explanation:
Avg = 20 + 14 + 28 + 18 /4
Avg = 80/4 = 20
On Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance?
-16.75 + (5.72 + 16.75)
Use the commutative property to get:
-16.75 + (16.75 + 5.72)
Use the associative property to get:
(-16.75 + 16.75) + 5.72
Answers
Answer:
5.72
Step-by-step explanation:
(-16.75 + 16.75) = 0
0 + 5.72= 5.72
Therefore, the answer is 5.72
The average of max's three tests is an 84 what must he get on a fourth test to raise his average to an 87
Answers
Answer:
He must get a 96% on the fourth test to raise his average to an 87
is 1/4 to the 0 power bigger then 1
Answers
Answer:
1/4 to the 0 power is equal to 1. Therefore, it is not bigger than 1
How can you multiply fractions and mixed numbers?
Answers
Step-by-step explanation:
To multiply fractions:
Multiply numerator to numerator and multiply denominator to denominator. Simplify the answer.
To multiply mixed numbers:
Change mixed numbers into improper fraction. Then multiply numerator and denominator just like how you multiply the fractions. Simplify.
The product of two positive odd consecutive integers is 1599. What is the larger integer?
Answers
Answer:
800
Step-by-step explanation:
800+799=1599
Please please help !
Answers
Answer:
Unsure but it might be -8/3
Step-by-step explanation:
Shawn has $20.00 to spend. He wants to save $5.00. He buys two ice creams for $1.65 each, what is the maximum number of packets of chocolate can he buy at a cost of $3.45 for each packet and still have at least $5.00 left over
(solve as an inequality)
Answers
Answer:
3
Step-by-step explanation:
3.45x+2*1.65+5>=20
3.45x+8.3>=20
3.45x>=11.7
after rounding
x>=3
Please help with this
Answers
==========================================
Explanation:
A) This is true because there are 4 cups of green and 2 cups of white. Each box represents 1 cup.
B) This is false. The ratio 4:2 reduces to 2:1 when describing the ratio of green to white. We have twice as many green compared to white. Choice B describes the other way around. The order is important.
C) This is true. We have 2 cups of white and 4 cups of green.
D) False. There are 6 cups total, but only 2 white (not 4).
E) True. This is a verbal way of describing the ratio 4:2, of green to white.
F) False. The ratio is the other way around. See choice E.
G) False. There are 4 cups of green, not 6. There are 6 cups total, not 4. The ratio of green to total is 4:6.
H) True. We have 2 cups of white and 2+4 = 6 cups total.