a computer code is based on the prime factorization of 160. Find the prime factorization of 160
Answers
Answer:
[tex]2\times 2\times 2\times 2\times 2\times 5[/tex]
Step-by-step explanation:
We have been given that a computer code is based on the prime factorization of 160. We are asked to find prime factorization of 160.
We know that prime factorization of a number is writing the prime factors of a number such that their product gives the original number.
To find prime factors of 160, we will divide 160 by 2 for 5 times and then divide by 5.
Prime factorization of 160: [tex]2\times 2\times 2\times 2\times 2\times 5[/tex].
Therefore, the prime factorization of 160 is [tex]2\times 2\times 2\times 2\times 2\times 5[/tex].
Related Questions
Which table represents a linear function?
Answers
:D!!
<3333
Answer
C
hope it helps
What is the justification for each step in the solution of the equation?
−2(x−1)+12=4x−6−2(x−1)+12=4x−6
Select from the drop-down menus to correctly justify each step.
−2(x−1)+12=4x−6−2(x−1)+12=4x−6 Given
−2x+2+12=4x−6−2x+2+12=4x−6
−2x+14=4x−6−2x+14=4x−6 Combine like terms.
−2x=4x−20−2x=4x−20
−6x=−20−6x=−20 Addition or Subtraction Property of Equality
x=206x=206
x=103x=103 Simplify.
Answers
Here are the following justifications:
Given: -2 (x-1) +12=4x-6
Distribute property = -2x+2+12=4x-6
Combine like terms= -2x+14=4x-6
Transpose = -2x = 4x – 20
Addition or Subtraction Property of Equality = -6x = -20
Division property of equality = x = 20/6
Simplify = x = 10/3
Answer:
Step-by-step explanation:
The number of heads that come up when a coin, biased so that heads comes up with probability 3/4, is flipped three times.
Answers
How to simplify equations with fractional exponents?
Answers
[tex]a^{ \frac{m}{n} }[/tex] which can be rewritten as [tex] (\sqrt[n]{a} )^m[/tex]
for example: [tex](x + 3)^ \frac{2}{3} =( \sqrt[3]{x+3})^2 [/tex]
Final answer:
To simplify equations with fractional exponents, divide the digit term of the numerator by the digit term of the denominator and subtract the exponents of the exponential terms. Then multiply the numerators and denominators together and simplify by common factors if needed.
Explanation:
When simplifying equations with fractional exponents, we can follow these steps:
Divide the digit term of the numerator by the digit term of the denominator.Subtract the exponents of the exponential terms.Multiply the numerators and denominators together and simplify by common factors if needed.For example, let's simplify the equation √(x³ / y²). We divide x³ by y², which gives us x/y. Then we subtract the exponents, resulting in √(x/y). Finally, we can simplify the fractional exponent by taking the square root of x/y, which gives us √(x/y).
A red blinking light blinks every 18 seconds, while a yellow blinking light blinks every 12 seconds. If both lights start at the same time, after how many seconds will they next blink at the same time? A) 6 B) 18 C) 36 D) 54
Answers
In order to find the answer, you need to find the LCM, Least Common Multiple. The least common multiple of 18 and 12 is C. 36
Brainliest Please!!!
Add.
Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice altogether?
a. 2 hours
b. 1 1/3 hours
c. 2 2/3 hours
d. 5 1/3 hours
Answers
Joe practiced his trumpet 3/4 of an hour on Monday and 7/12 of an hour on Tuesday. How long did he practice altogether?
Result
b. 1 1/3 hours.
Solution
We need to turn the fractions into time first. This is done with division, multiplication, and addition.
Let's divide and multiply
3/4 · 60 = 45
7/12 ·60 = 35
Let's add
45 + 35 = 80
From here, 80 is 60 + 20 minutes, or 1 and 1/3
Hope this helped!
Can we obtain a diagonal matrix by multiplying two non-diagonal matrices? give an example
Answers
Consider the matrix multiplication below
[tex] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] \left[\begin{array}{cc}e&f\\g&h\end{array}\right] = \left[\begin{array}{cc}a e+b g&a f+b h\\c e+d g&c f+d h\end{array}\right] [/tex]
For the product to be a diagonal matrix,
a f + b h = 0 ⇒ a f = -b h
and c e + d g = 0 ⇒ c e = -d g
Consider the following sets of values
[tex]a=1, \ \ b=2, \ \ c=3, \ \ d = 4, \ \ e=\frac{1}{3}, \ \ f=-1, \ \ g=-\frac{1}{4}, \ \ h=\frac{1}{2}[/tex]
The the matrix product becomes:
[tex] \left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}\frac{1}{3}&-1\\-\frac{1}{4}&\frac{1}{2}\end{array}\right] = \left[\begin{array}{cc}\frac{1}{3}-\frac{1}{2}&-1+1\\1-1&-3+2\end{array}\right]= \left[\begin{array}{cc}-\frac{1}{6}&0\\0&-1\end{array}\right][/tex]
Thus, as can be seen we can obtain a diagonal matrix that is a product of non diagonal matrices.
[tex] \left[\begin{array}{ccc}1&3&4\\0&-8&-9\\0&0&- \frac{55}{8} \end{array}\right] \cdot \left[\begin{array}{ccc}1&-3&- \frac{5}{8} \\0&1&- \frac{9}{8} \\0&0&1\end{array}\right] = \left[\begin{array}{ccc}1&0&0\\0&-8&0\\0&0&- \frac{55}{8} \end{array}\right] [/tex]
What rule can be used to find the next term of the arithmetic sequence
Answers
How many minutes will it take to drive 82 miles with the speed of 65 miles per hou?
Answers
time|hr = 82/65 hour
but 60minutes = 1hour. so
82/65 hr = 82/65×60 minutes = 75.7 minutes
find the derivative of the given function at the indicated point f(x)=1/x a=2
Answers
Final answer:
The derivative of the function f(x) = 1/x at x = 2 is -1/4, found using the power rule of differentiation.
Explanation:
To find the derivative of the function f(x) = 1/x at the point where a = 2, we employ the power rule of differentiation. The function can be rewritten as f(x) = x-1. Applying the power rule (f'(x) = n*xn-1) to this function, the derivative is f'(x) = -1*x-2 or f'(x) = -1/x2. To find the derivative at x = 2, we simply substitute x with 2, giving us f'(2) = -1/22 = -1/4.
Simplify (x^2+5x+6)/(15xy^2)/(2x^2+7x+3)/(5x^2y)
Answers
Take care,
Diana
which of the following equations describe the graph shown below?
Answers
Hope this helps!
FM = 5y + 13, MG = 5 - 3y, FG = ? M is the midpoint of FG. Use the given information to find the missing measure or value.
Answers
8y=-8
y=-1
2FM=FG
-5+13-5+13=FG
FG=16
A line is a one-dimensional shape that is straight. The length of the side FG is 16 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given that FM = 5y + 13 and MG = 5 - 3y. Also, midpoint of the line FG is M, therefore, the length of the two segments FM and MG will be equal to each other.
FM = MG
5y + 13 = 5 - 3y
5y + 3y = 5 - 13
8y = -8
y = -8/8
y = -1
Now, the length of the two line segments will be,
FG = FM + MG
= 2y + 13 + 5
= 2y + 18
= 2(-1) + 18
= -2 + 18
= 16
Hence, the length of the side FG is 16 units.
Learn more about Line here:
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How can I pass the Algebra 1 EOC?
Answers
The sum of two consecutive integers is 131. What are the integers?
Answers
x+x+1=131
2x+1=131
2x=131-1=130
x=130÷2 = 65
the integers are 65 and 66
Answer:
The Integers are 65&66
Step-by-step explanation:
Because I got correct with these awnsers
Simplify –2x3y × xy 2. A. –2x3y4 B. –3x4y3 C. –12x4y3 D. –2x4y3
Answers
What is the answer to the word problem a can of mixed nuts has 5 peanuts for every 2 cashews. there are 175 peanuts in the can. how many cashews are there?
Answers
answer=350
hope this helps
Louisa's savings change by -$9 each time she goes bowling.in all it changed by -$99 during the summer.how many times did she go bowling in the summer?
Answers
Answer:
She went 11 times.
Step-by-step explanation:
Given,
The change in saving in each time she goes bowling = -$ 9,
If she goes t times,
The change in saving for going t times = t × change in saving in each time
= t × -9
= -9t dollars,
According to the question,
-9t = -99
[tex]\implies t=\frac{-99}{-9}=11[/tex]
Hence, she went 11 times to bowling.
The sum of three consecutive even integers is –78. What are the integers? Describe how you would use the strategy of writing an equation to solve the given problem.
Answers
3 even integers
divide -78 by 3
-78 / 3 = -26
so -24 + -26 + -28 = -78
equation would be:
n + n+2 + n+4 = -78
3n +6 = -78
3n = -84
n = -84 / 3 = -28
n +2 = -28 +2 = -26
n+4 = -28 +4 = -24
x+x+1+x+2 = -78
3x+3=-78
3x=-78-3= -81
x=-81÷3 = -9
the integers are -9, -8, -7
Evaluate this piecewise function at x=-4 and x=4.
(Can someone show me how to solve this because i don't know what to do to solve this)
Answers
f(x) = x², x≤ -4
= x³, -4 < x ≤ 1
= √x, x > 1
To find f(-4), we note that f(x) = x², x ≤ 4, so we should use this part of the function.
f(-4) = (-4)² = 16
To find f(4), we note that f(x) = √x, x > 1, so we should use this part of the function.
f(4) = √4 = +2 or -2.
A graph of the function is shown below. It indicates that f(4) = +2 for continuity.
Answer:
f(-4) = 16
f(4) = 2.
Calculus: Help ASAP
Using n = 4 equal-width rectangles, approximate the integral from negative 2 to 2 of the quantity x cubed plus 8, dx. Use the mid-point of each sub-interval to determine the height of each rectangle.
Answers
Answer:
32
Step-by-step explanation:
To solve this, you need to start by finding the width of the rectangles and the midpoints. If n=4, b=2, a=-2, and the width of each triangle is delta x = b-a / n, then each width is equal to 1 and there will be four midpoints (you can also tell the amount of midpoints by n=4). These midpoints are -1.5, -0.5, 0.5, and 1.5. The height of each of the rectangles is going to be equal to f(x*k), where x*k is the specific mid point. This means that you need to find f(-1.5), f(-0.5), f(0.5), and f(1.5). When putting these into the function you will get 4.625, 7.875, 8.125, and 11.375. Seeing as the Riemann Sum formula says the summation of f(x*k) * delta x, multiply each of the heights by the width of 1 and then add all of the values together. When you do this you will get 4.625 + 7.875 + 8.125 +11.375 which all totals to 32. This means that the approximation of the given integral is 32.
What conversion factor would you use to convert cubic decimeters to milliliters?
Answers
Walter is a comic book artist. He usually draws 36 comic panels each day. How many comic panels can he draw in 2 weeks.
Answers
hope this helps:D
plz give brainiest
what is the slope of the line through (-7,-8) and (0,4)
Answers
Answer:
the slope of the line is 12/7
Step-by-step explanation:
Betsy, a recent retiree, requires $ 6 comma 000 6,000 per year in extra income. She has $ 60 comma 000 60,000 to invest and can invest in B-rated bonds paying 15 15% per year or in a certificate of deposit (CD) paying 5 5% per year. How much money should be invested in each to realize exactly $ 6 comma 000 6,000 in interest per year?
Answers
Then,
x + y = 60,000 . . . . . . . (1)
0.15x + 0.05y = 6,000 . (2)
Multiplying the first equation by 0.15 gives:
0.15x + 0.15y = 9,000 . (3)
Subtracting equation (2) from equation (3) gives:
0.1y = 3,000
y = 3,000 / 0.1 = 30,000
From equation (1):
x + 30,000 = 60,000
x = 60,000 - 30,000 = 30,000
Therefore, the amount of money that should be invested in each to realize exactly $6,000 in interest per year is $30,000 each.
What is the result of factoring out the gcf from the expansion (24+36)?
Answers
So you could say,
12(2 + 3)
24=2*2*2*3
36=2*2*3*3
As seen, 12(2x2x3) is the greatest common factor amongst the numbers.
12(2+3)=(24+36)
Hope I helped :)
eight out of ten dentists prefer crest toothpaste.what is the ratio of dentist who do not prefer crest to those who do.
Answers
8 do, 2 don't
so the ratio would be 2:8 which can reduce to 1:4
A student is attempting to simplify the expression below. Sample mathematical work is shown. Which statement best applies to the sample mathematical work?
Given xy+yx+x-3(x+y), I first apply the distributive property, which yields the expression xy + yx + x – 3x – 3y. I can then collect like terms: since x – 3x = –2x, I have the expression xy + yx – 2x – 3y as my final answer.
A.
The student failed to properly apply the distributive property.
B.
The student collected two or more terms that were not like terms.
C.
The student failed to collect all like terms.
D.
The mathematical work shown above is correct.
Answers
Which point is on the graph of a direct variation equation in which k = 1.8? A. (4, 0.45) B. (7.2, 4) C. (4, 7.2) D. (0.45, 4)
Answers
Answer: C
(4, 7.2)
Step-by-step explanation: Just took this test
What is the probability of flipping heads with a biased coin?