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
A vehicle purchased for $25000 depreciates at a constant rate of 5% per year. Determine the approximate value of the vehicle 12 years after purchase. Round to the nearest whole number.
Answers
Answer:
$13,509.
Step-by-step explanation:
After each year the vehicle is worth 95% of the previous value.
95% = 0.95.
So after 12 years the approximate value
= 25000 * 0.95^12
= $13,509.
A random number generator generates numbers from 1 to 10. What is the probability that the number generator generates a 3 ?
Answers
Answer:
1/10
Step-by-step explanation:
Write a linear function f with the values f(−1)=8 and f(5)=6.
A function is f(x)=
Answers
9514 1404 393
Answer:
f(x) = -1/3x +23/3
Step-by-step explanation:
You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:
f(x) = -1/3x +23/3
__
Approaching this in the usual way, we recognize we have points ...
(-1, 8) and (5, 6)
The slope of the line through those points is ...
m = (y2 -y1)/(x2 -x1)
m = (6 -8)/(5 -(-1)) = -2/6 = -1/3
Then the point-slope equation of the line is ...
y - 8 = -1/3(x +1)
Adding 8 gives us a form we can use for a function definition:
f(x) = -1/3(x +1) +8
f(x) = -1/3x +7 2/3
Which expression is equivalent to 45 divided by (2 - x)
Answers
Answer:
45
---------
(2 - x)
Step-by-step explanation:
That would be:
45
---------
(2 - x)
Also valid: 45/(2 - x)
An electrician must use 15 miles of electrical cable between electric poles. How many yards of cable will be used?
13,200
26,400
39,600
79,200
158,400
Answers
Answer:
B) 26,400
An electrician must use 15 miles of electrical cable between electric poles. How many yards of cable will be used?
13,200
26,400
39,600
79,200
158,400
26400 yards of cable is used.
the answer is B) 26,400
What is unit conversion?
Unit conversion is the process of changing a physical quantity from one unit of measurement to another. For example, converting kilometers to miles, Celsius to Fahrenheit, or liters to gallons. The process involves multiplying or dividing the original measurement by a conversion factor, which is a ratio of equivalent units
To convert miles to yards, we need to multiply by the conversion factor of 1 mile = 1760 yards.
15 miles * 1760 yards/mile = 26,400 yards
So, the electrician will use 26,400 yards of cable.
Hence, 26400 yards of cable is used.
the answer is B) 26,400
To learn more about the unit conversion, visit:
https://brainly.com/question/97386
#SPJ1
Solve the problem using a system of equations: The difference of the squares of two numbers is 15. The difference of twice the square of the first number and the square of the second number is 30. Find the numbers.
(__,__),(__,__)
Answers
The numbers which hold true for the situation modelled in the task content are; (-√15, 0) and (+√15, 0).
Which numbers hold true for the situation?The system of equations which model the situation is;
x²- y² = 15
2x² - y² = 30.
Hence, by subtracting equation 1 from 2; we have;
x² = 15
x = ±√15.
and hence by substitution; the value of y is;
(√15)² + y = 15
y = 0.
Hence, the required values of the numbers are;
(-√15, 0) and (+√15, 0).
Read more on system of equations;
https://brainly.com/question/14323743
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A kayak is originally priced at $130. The online retailer vives a Discount and the kayak is now priced at $65. Enter the porcentaje Discount for the cost of the kayak
Answers
Answer:
50% decrease
Step-by-step explanation:
130-65 = 65
65/130 = 0.5
0.5 x 100 = 50
Plz help guys!!!!!!!!
Answers
Answer:
3
2
Step-by-step explanation:
in a box of chocolate 1/5 are plain chocolate 1/3 are white chocolate the rest are white
Answers
...ok and?
finish the question
Answer:
Step-by-step explanation:
[tex]\frac{1}{5}+\frac{1}{3}+x=1[/tex]
[tex]\frac{3}{15}+\frac{5}{15}+x=\frac{1.15}{15}[/tex]
[tex]\frac{8}{15} + x=\frac{15}{15}[/tex]
[tex]\frac{8}{15} - \frac{8}{15} + x=\frac{15}{15}-\frac{8}{15}[/tex]
[tex]x=\frac{7}{15}[/tex]
I think you are missing the question but I bet you are looking for the rest of chocolate in the box.
Please help me ASAP please olease
Answers
Answer:
x=100 degree's
Step-by-step explanation:
Its 100 degrees because you add 80 and 20 degrees and because I think they might be called congruent angles.
Answer:
pretty sure it's just 100, just add 80 and 20, angles are opposite of each other.
A stream drops 30 feet in elevation over a horizontal distance of 2640 feet. What is the stream gradient
Answers
The stream gradient of a stream that drops 30 feet in elevation over a horizontal distance of 2640 feet is 0.01136363636.
Stream gradient is the ratio of drop in elevation of a stream per units horizontal distance. Therefore,
stream gradient = vertical change in elevation / horizontal distance
where
vertical change in elevation = 30 feet
horizontal distance = 2640 feet
stream gradient = 30 / 2640
stream gradient = 0.01136363636
read more: https://brainly.com/question/13750927?referrer=searchResults
The question is in the picture.
Answers
Answer:
[tex]x^{3r-18}[/tex]
Answer:
[tex]x^{3r-18}[/tex]
Step-by-step explanation:
[tex]\frac{1}{x^{18-2r} } x^{r} =\frac{x^{r} }{x^{18-2r} }[/tex]
[tex]=x^{r-(18-2r)} =x^{r-18+2r}[/tex]
[tex]=x^{3r-18}[/tex]
Hope this helps
what number multiplied by 5 9 has a product of 1
Answers
If a/(a+b) = 37/40 Find a/(a-b)
Answers
a/(a+b) = 37/40
(a+b)/a = 40/37
a/a + b/a = 40/37
1 + b/a = 40/37
b/a = 40/37 - 1
= 3/37
1 - b/a = 34/37
(a-b)/a = 34/37
a/(a-b) = 37/34
Good Luck
a
Use a trigonometric equation to
determine the leg of this triangle.
10 m
[?] m
30°
Answers
Answer:
use pythogoras therom to solve it and its say to find base its formula is h square - psquare
4.
Identify the vertex of the parabola.
A. . (0, 1)
B. (1, 0)
C. (−1, 0)
D. (0, −1)
Answers
Answer:
B. (1, 0)
Step-by-step explanation:
1,0 should be the vertex for this parabola
...................................................................................................................................................
1,0 should be the correct answer
Answer:
B. (1, 0)
Step-by-step explanation:
The vertex is the point where the two lines meet. In this instance, that is at the point (1, 0).
Help help help help help help help
Answers
Answer:
6
Step-by-step explanation:
x coordinate goes left and on 6 line
y coordinate goes up and on 1 line
(x, y)
(6, 1)
x coordinate is 6
what is the completely factored form of x^4 - 4x^2 + 8x^3 - 32x + 12x^2 - 48? be sure to show all work.
Answers
Answer:
x^4 + 8x^2 + 8x^3 - 32x - 48
Step-by-step explanation:
You have to group the terms so the only terms that are similar are -4x^2 and +12x^2. -4x^2+12x^2 =+8x^2
There aren't any other similar terms so you can leave it as x^4 + 8x^2 + 8x^3 - 32x - 48
Answer:
x^4 + 8 x^3 + 8 x^2 - 32 x - 48
Hope This Helps!!!
On a map, the scale is 1 inch = 40 miles. What is the actual distance for 3.25 inches shown on the map?
Answers
Answer:
130 Miles
Step-by-step explanation:
find the area of the triangle. 20ft, by 21ft. by 29ft.
Answers
Answer:
a=210ft²
The area of the triangle is 210 square feet.
Step-by-step explanation:
This is a right triangle, as shown by the Pythagorean theorem:
[tex]20^{2} +21^{2} =29^{2} \\400+441=841\\841=841[/tex]
The 2 perpendicular legs of a right triangle are also the base and height of a rectangle of the same size. A right triangle is exactly half of that rectangle, and therefore the area of a right triangle is exactly half of the area of that rectangle.
The area of that rectangle is:
[tex]a=b*h\\a=20*21\\a=420[/tex]
And then the area of the triangle is:
[tex]a=\frac{420}{2}\\a=210[/tex]
If p and q vary inversely and p is 15 when q is 17, determine q when p is equal to 51
Answers
Step-by-step explanation:
q is inversely to p and we need to add k as the constant..
then find value of k by sub the value of p and q
after that sub the value of k and p to find q
9
10
11
12
13
An international company has 21.100 employees in one country. If this represents 23.9% of the company's employees, how many employees does it have in
total?
Answers
ok then I don't understand well but I think its 45.10.00
Can someone help me with this problem?
Answers
Answer:
16.6 ft^2
Step-by-step explanation:
1 foot = 0.3048 meter
1.54 m^2 = (1.54 m^2)·(1 ft/(0.3048 m))^2 = 1.54/0.3048^2 ft^2
≈ 16.6 ft^2
_____
Additional comment
The idea in units conversion is to multiply by a fraction whose value is 1 (because the numerator and denominator are the same amount), but whose units cancel the ones you don't want and give you the ones you do want.
Here, our conversion factor has m^2 in the denominator and ft^2 in the numerator, so it cancels m^2 in the given number and gives a result in ft^2.
use a calculator to find the square for 7.6
Answers
Answer:
Using a calcuator, [tex]7.6^{2} =57.76[/tex]
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
Shows me 57.76 well....Hope it helps!
Brainliest pls!
Follow me! ♧
The radius of a circle is 5 ft. Find its circumference in terms of pi
Answers
Answer:
10 pi
Step-by-step explanation:
circumference of the circle equals = 2π R = 2*pi* radius
so circumference = 2*5*π = 10π = 10 pi (in terms of pi)
The formula for the circumference of a circle is C = 2πr, where "C" is the circumference, "π" is pi (approximately equal to 3.14), and "r" is the radius.
Given that the radius of the circle is 5 inches, we can substitute this value into the formula to find the circumference:
C = 2πr
C = 2π(5)
C = 10π
Therefore, the circumference of the circle is 10π inches.
15 POINTS!!!! Can someone simplify this as much as possible? ty!
245 = 50 + 1s
Answers
Step-by-step explanation:
245=50+1s. /-50
195=1s
s=195
16 +1 -1 = 17-2
True
False
Answers
Answer:
false i think
Step-by-step explanation:
16+1=17-1=16-2=14
7-2×8+1 evaluate each of the following
Answers
Answer:
-8
Step-by-step explanation:
u just do the 2x8 first
Hi! So in equations similar to this, you will need to use PEMDAS.
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Now that you know this, reevaluate your equation.
7-2x8+1
Firstly, you must multiply -2 and 8. Leaving you with -16.
7-16+1
Next, subtract 16 from 7.
-9 + 1
Finally, add -9 and 1.
-8
Your final answer is -8.
2x+3-3 when x=-6
solve
Answers
Answer:
x=9
Step-by-step explanation:
HELP ME OUT PLEASE
PLS SEND PICTURE OF WHAT TO DO
Use the data to create a scatter plot.
Answers
Answer:
(2,5)
(3,8)
(4,13)
(5,12)
(6,18)
(7,20)
Plug those into the scatter plot graph
Step-by-step explanation:
The left side is the x axis and the right side is the y axis