Prime factorization of 100 is 2 * 2 * 5 * 5
100 as a product of prime factors will be 2 ×2×5×5 .
Given,
Number = 100
Now,
To write 100 as prime factor product ,
Take LCM of 100
LCM 100 = 2 ×2×5×5
Thus the factors obtained in the LCM is prime factors only .
So we can write 100 as the product of prime factors:
100 = 2 ×2×5×5
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A parent died and left in the state to four children one inherited 1/9 of the estate the second inherited 5/81 of the estate and the third inherited 17/27 of the estate how much did the fourth inherit?
Answer:
I think it's (16/81)
Step-by-step explanation:
If you spun the spinner 1 time what is the probability of landing on either a gray piece or a white piece
Answer:
50%
Step-by-step explanation:
If there's only either a gray piece or a white piece on the spinner and you spun it once, the probability of it landing on gray or white is 50%. But if there are more pieces the answer will be incorrect.
The rectangular area measures 30 ft by 25ft. The fencing that will be used comes in 25 ft sections. How many sections will you need to enclose the area?
Answer:
5
Step-by-step explanation:
What is 3.59×6.2
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
What is the measure of angle AOB?
Answer:
let angle AOB and angle COD be x
the it would be
x+x+110=180
2x+110=180
2x=180-110
2x=70
x=70/2
x=35 degree.
hope it will help you.
how many sundaes did the shop make if they used 32 spoonfuls of sprinkles
Answer:
Depends on how many spoonfuls they use per sundae. If they use one spoonful they made 32 sundaes, if they use 2 spoonfuls they made 16 sundaes.
you roll a pair of six-sided dice (each can be a 1,2,3,4,5, or 6). What is the probability that the sum of your dice is greater than 10
Answer:
1/12Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected number of outcome/Total outcome
Since a pair of die with six faces is rolled, the total number of outcome will be 6^2 = 36
Expected outcome is the sum of dice greater than 10. The only time we can get a sum of the dice grater than 10 is when the following are rolled; (5,6), (6, 5) and (6, 6). The sum of the numbers will give us 11 ans 12 respectively which are values greater than 10.
The expected outcomes = 3 outcomes
The probability that the sum of my dice is greater than 10 = 3/36
Hence the probability that the sum of my dice is greater than 10 is 1/12
The solution generated by the calculator is 5.779E-8. Describe how to interpret the solution.
Answer:The E indicates scientific notation. The first number is the coefficient of the number in scientific notation. This number is multiplied by a power of 10. The number following the E, which is -8, is the exponent, and the base is 10.
REAL ANSWER
Step-by-step explanation:I did the assignment
Answer:
SIMPLE RESPONES: The E indicates scientific notation. The first number is the coefficient of the number in scientific notation. This number is multiplied by a power of 10. The number following the E, which is –8, is the exponent, and the base is 10.
Step-by-step explanation:
Estimate the value of √2π/√5
Answer: 1.12099824328 or estimated is 1
If $4x=3y$, what is the value of $\frac{2x+y}{3x-2y}$?
Answer:
10
Step-by-step explanation:
Solving $4x=3y$ for $x$ gives $x = \frac{3}{4}y$. Substituting this into the desired expression gives\begin{align*}\frac{2x+y}{3x-2y} &= \frac{2\left(\frac34\right)y + y}{3\left(\frac34y\right) - 2y}\\
&=
\frac{\frac32y + y}{\frac94y - 2y} = \frac{\frac52y}{\frac{y}{4}} \\
&=\frac{5}{2}\cdot 4 = \boxed{10}.\end{align*}
Answer:
10
Step-by-step explanation:
Substitution and simplification
A rectangular piece of metal is 20 in longer than it is wide Squares with sides 4 in long are cut from the four comers and the flaps are folded upward to form an open
box. If the volume of the box is 1354 in what were the original dimensions of the piece of metal?
What is the original width? in
Answer:
14 [tex]\frac{5}{48}[/tex]
Step-by-step explanation:
rectangular volume = length * height * width
1354 = (20+4) * 4 * width
1354 = 24 * 4 *w
1354 = 96w
14.1 = w
— 6— (—12) help me plz
Answer:
Hey there!
-6-(-12)
-6+12
6
Hope this helps :)
Answer:
[tex]6[/tex]
Step-by-step explanation:
[tex]-6-(-12)[/tex]
[tex]-6+12[/tex]
Since 12 - 6 is equal to 6, -6 + 12 would be 6.
[tex]=6[/tex]
Now you have your answer!
Hope this helps!
expansion of (−1−2√3)^2
(- 1 - 2√3)²
applicating (a - b)² = a² + b² - 2ab
a = - 1
b = 2√3
so:
(- 1 - 2√3)² =
(- 1)² + (2√3)² - 2(- 1)(2√3) =
1 + (2² * √3²) + 2(2√3) =
1 + (4 * 3) + 4√3
ps. √x² = x1 + 12 + 4√3 = 13 + 4√3
70- -72 can someone give me the answer to this please.
Answer:
142
Step-by-step explanation:
Step-by-step explanation:
70 - -72
= 70+ 72
= 142
I think this should be the answer
2. Solve the equation below and find the variation constant, k. Find y when x= 18, if y varies directly as x, and y=37 when x=5
*Round your answer to the nearest thousandth, if necessary.
Answer:
k = 7.4y = 133.2Step-by-step explanation:
To find the value of y when x= 18 we must first find the relationship between them
The statement
y varies directly as x is written as
[tex]y \: \: \alpha \: \: kx[/tex]
where k is the constant of proportionality
when y = 37
x = 5
Substitute the values into the above formula and solve for k
That's
37 = 5k
Divide both sides by 5
k = 7.4So the formula for the variation is
y = 7.4xWhen x = 18
y = 7.4(18)
We have the answer as
y = 133.2Hope this helps you
Please help!!!! 40 POINTS 1. By the square root property, if k is a real number and x^2=k, then what is x equal to? (See picture) 4. Solve x^2=64. What property did you use? (See picture)
Answer:
x = ± sqrt(k)
x = ± 8 by the square root property
Step-by-step explanation:
x^2 = k
K is a real number
Take the square root of each side
sqrt(x^2) = ± sqrt(k)
x = ± sqrt(k)
Letting k = 64
x = ± sqrt(64)
x = ± 8 by the square root property
Answer:
x = ± √k
x = ± √8 by the square root property
Step-by-step explanation:
x² = k
where k is a real number
square root of each side
√x² = ± √k
x = ± √k
let k = 64
x = ± √64
therefore
x = ± 8 by the square root property
I need help finding the domain and range, I already know is not a function
Answer:
Domain: [-4, 4]
Range: [-3, 5]
Function? No
Step-by-step explanation:
Domain is all x-values that can be inputted in the graph that returns an output.
Range is all y-values that are outputted when x is inputted.
A function has to pass the Vertical Line Test.
What is -2 x (-12) ?
[tex]-2x\left(-12\right)=24x[/tex]
Answer:
24x
Step-by-step explanation:
Parenthesis implies multiplication, and when a negative and a negative are multiplied, the answer becomes positive. Adding on the x, the answer to this equation if 24x.
I'll give you brainliest! Just need help with 5-10! (Least common factors)
Answer:
603048424555Step-by-step explanation:
5.
[tex]12,\:30\\\\\mathrm{Prime\:factorization\:of\:}12:\quad 2\times\:2\times\:3\\\mathrm{Prime\:factorization\:of\:}30:\quad 2\times\:3\times\:5\\\\=2\times\:2\times\:3\times\:5\\\\=60[/tex]
6.
[tex]6,\:10\\\\\mathrm{Prime\:factorization\:of\:}6:\quad 2\times\:3\\\mathrm{Prime\:factorization\:of\:}10:\quad 2\times \:5\\\\=2\times \:3\times \:5\\\\=30[/tex]
7.
[tex]16,\:24\\\\\mathrm{Prime\:factorization\:of\:}16:\quad 2\times \:2\times\:2\times\:2\\\mathrm{Prime\:factorization\:of\:}24:\quad 2\times\:2\times\:2\times\:3\\\\=2\times\:2\times\:2\times\:2\times\:3\\\\=48[/tex]
8.
[tex]14,21\\\\\mathrm{Prime\:factorization\:of\:}14:\quad 2\times\:7\\\mathrm{Prime\:factorization\:of\:}21:\quad 3\times\:7\\\\=2\times\:7\times\:3\\\\=42[/tex]
9.
[tex]9,15\\\\\mathrm{Prime\:factorization\:of\:}9:\quad 3\times\:3\\\mathrm{Prime\:factorization\:of\:}15:\quad 3\times\:5\\\\=3\times\:3\times\:5\\\\=45[/tex]
10.
[tex]5,\:11\\\\\mathrm{Prime\:factorization\:of\:}5:\quad 5\\\mathrm{Prime\:factorization\:of\:}11:\quad 11\\\\=5\times \:11\\\\=55[/tex]
If each chip has a length of 35 nanometers (nm), how many would you need to circle the Earth. Which has a radius of 6,371 km? (Show all your workings. Final answer MUST be in scientific notation.)
Answer:
1144.18 e-12 chips
Step-by-step explanation:
Conversation rate of nanometers
1 nanometers =1* 10^-12 km
35 nanometers= 35 *10^-12
Radius of earth= 6371 km
Circumference of earth = 2πr
Circumference= 2*22/7*6371
Circumference=40046.29 km
The number of chips to be used to circle the earth
= 40046.29/35 *10^-12
=1144.18 *10^-12
= 1144.18 e-12 chips
Inventa un reparto donde el resultado sea 4/5
Answer:
Snacks are distributed in a school.
There are only 36 apples and 44 bananas for the students, but there are 72 orange juices and 28 tangerine juices. The distribution would be 4/5, it would take 20 fruits so that the snack per student be the same.
Step-by-step explanation:
A fraction is a whole number that expresses a certain number of portions that are taken from a whole divided into parts.
It is represented by a bar that separates the first part (numerator) from the second (denominator).
The numerator represents the number of parts taken and the denominator represents the entire element.
For example, 3 eaten parts of a 4-piece cake.
3/4 of the cake was eaten.
Kaliska is jumping rope. The vertical height of the center of her rope off the ground R(t) (in cm) as a function of time t (in seconds) can be modeled by a sinusoidal expression of the form a cos(b. t) + d. , At t = 0, when she starts jumping, her rope is 0 cm off the ground, which is the minimum. After [tex]\frac{\pi }{12}[/tex] seconds it reaches a height of 60 cm from the ground, which is half of its maximum height. Find R(t). t should be in radians.
Answer:
R (t) = 60 - 60 cos (6t)
Step-by-step explanation:
Given that:
R(t) = acos (bt) + d
at t= 0
R(0) = 0
0 = acos (0) + d
a + d = 0 ----- (1)
After [tex]\dfrac{\pi}{12}[/tex] seconds it reaches a height of 60 cm from the ground.
i.e
[tex]R ( \dfrac{\pi}{12}) = 60[/tex]
[tex]60 = acos (\dfrac{b \pi}{12}) +d --- (2)[/tex]
Recall from the question that:
At t = 0, R(0) = 0 which is the minimum
as such it is only when a is negative can acos (bt ) + d can get to minimum at t= 0
Similarly; 60 × 2 = maximum
R'(t) = -ab sin (bt) =0
bt = k π
here;
k is the integer
making t the subject of the formula, we have:
[tex]t = \dfrac{k \pi}{b}[/tex]
replacing the derived equation of k into R(t) = acos (bt) + d
[tex]R (\dfrac{k \pi}{b}) = d+a cos (k \pi)[/tex] [tex]= \left \{ {{a+d \ for \ k \ odd} \atop {-a+d \ for k \ even}} \right.[/tex]
Since we known a < 0 (negative)
then d-a will be maximum
d-a = 60 × 2
d-a = 120 ----- (3)
Relating to equation (1) and (3)
a = -60 and d = 60
∴ R(t) = 60 - 60 cos (bt)
Similarly;
For [tex]R ( \dfrac{\pi}{12})[/tex]
[tex]R ( \dfrac{\pi}{12}) = 60 -60 \ cos (\dfrac{\pi b}{12}) =60[/tex]
where ;
[tex]cos (\dfrac{\pi b}{12}) =0[/tex]
Then b = 6
∴
R (t) = 60 - 60 cos (6t)
Find the volume of the solid in the first octant bounded by the cylinders r = 2 r = 5 z = 8-x-y g
Answer:
[tex]42\pi -78[/tex]
Step-by-step explanation:
Attached below is the detailed solution of the volume of the solid in the first octant bounded by the cylinders r = 2 r = 5 z = 8-x-y
The volume of the solid in the first octant bounded by the cylinders r = 2 r = 5, z = 8-x-y : [tex]42\pi -78[/tex]
11p-4=6p+1 explain steps please ASAP!!!
Need help ASAP if y’all could pls help me out that would be great
Rosa's golf score was -3. The next game, her score went down by 2. What was her new
score?
Answer:
-5
Step-by-step explanation:
-3 - 2 = -5
Will give brainliest if you complete all of them
Answer:
14 is 4
15 is check your self
in Google
Evaluate the expression when b=30 and c=6.
b+c2
b-4c
Simplify your answer as much as possible.
Step-by-step explanation:
Hey there!!
During evaluating the expression, you must follow,
put the value as given.work according to the mathematical operation sign.Here,
[tex]i). \: b + {c}^{2} [/tex]
[tex] = 30 + {6}^{2} [/tex]
= 30+36
= 66.
ii). b-4c
= 30 - 4×6
= 30 - 24
= 6
Hope it helps...
the product of a number and 8
Answer:
[tex]8n[/tex]
Step-by-step explanation:
The answer would be [tex]8n[/tex] because [tex]8*n[/tex] = [tex]8n[/tex]
Simplify: 5x+2(3−2x)+7
Answer:
x + 13
Step-by-step explanation:
5x + 2(3 - 2x) +7
Distribute the 2 into (3 - 2x)
5x + 6 - 4x + 7
Combine like terms
x + 13
PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. The given expression 5x+2(3−2x)+7 when simplified will be equal to x+13.
What is PEMDAS?PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.
The given expression 5x+2(3−2x)+7 can be simplified as shown below.
5x + 2(3−2x) + 7
Open the parenthesis,
= 5x + 6 − 4x + 7
Bring the like terms together,
= 5x − 4x + 7 + 6
Add the like terms,
= x + 13
Hence, The given expression 5x+2(3−2x)+7 when simplified will be equal to x+13.
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