Answer:
I got 5^10 x 2^14 x 3
Step-by-step explanation:
1. Do a tree to find 480 as a product of its prime factors
2. You should get 480= 5x2x3x2x2x2x2
3. 10 expressed as a product of its prime factors is 5x2
4. so 10^9 expressed as a product of its prime factors would be
5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2
5. You can then write out 480x10^9 as a product of its prime factors
5x2x3x2x2x2x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2
6. change this to use powers
5^10 x 2^14 x 3
N = 5^(10) × 2^(14) × 3
This is about prime factors
By definition, a prime factor is a factor of a number and that factor is also a prime number.
A prime number is one that is divisible by only itself and 1.
The number we have is; 480 × 10^(9)
Now, let's list the prime factors or 480 and they are;
2, 3, 5
Now, using these prime factors alone to get 480, we have;
5 × 3 × 2 × 2 × 2 × 2 × 2 = 480
In powers, gives;
5 × 3 × 2^(5)
Now,the 10^(9) with the 480 can also be expressed in terms of it's prime factors which are 2 and 5 as;
(5 × 2)^(9)
Expanding this gives; 5^(9) × 2^(9) = 10^(9)
Thus;
480 × 10^(9) = 5 × 3 × 2^(5) × 5^(9) × 2^(9)
This gives;
5^(10) × 2^(14) × 3
Read more at; brainly.com/question/4853862
if y varies directly with x and x increases by 2 , is it possible to determine by how much y increases or decreases . yes or no and why
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
y ∝ x
y = kx
Where k is a constant and it can be any integer.
If y varies directly with x.
Yes, it is possible to determine by how much y increases or decreases as x increases.
If x increases by 2 then y also increases by 2.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
y varies directly with x.
This can be written as an equation,
y ∝ x
y = kx
Where k is a constant and it can be any integer.
Now,
If x increases by 2.
y = 2k
If k = positive integer
Then y will increase by 2k.
If k = negative integer
Then y will decrease by -2k
So,
Yes, it is possible to determine by how much y increases or decreases.
Thus,
If y varies directly with x.
Yes, it is possible to determine by how much y increases or decreases as x increases.
Learn more about equations here:
https://brainly.com/question/17194269
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The bar diagram represents 24 hours in one day and shows a mark at 30%.
If you sleep 30% of the day, how many hours do you sleep? Enter your answer in the box.
Answer:
7.2
Step-by-step explanation: because you have to divid
What is the equation of this line?
y=1/2x-3
y=-1/2x-3
y=-2x-3
y=2x-3
Answer:
y=1/2x-3
Step-by-step explanation:
y=mx+b where m equals the slope and b equals the y-intercept. The slope is 1/2 and the y-intercept is -3. Hope this helps!
which equation represents the line that passes through points (5,4) and (-5,0)
Answer:
-5
Step-by-step explanation:
0-4
over
-5-(-5)
slope= -4/0
A deck of cards contains 52 cards. These cards consist of four suits (hearts, spades, clubs, and diamonds) of each of the following 2.3.4.5, 6, 7, 8, 9, 10, jack,
queen, king, and ace. If a card is chosen from a deck of cards, find the probability of drawing a 6
The probability of drawing a 6 is
(Type a whole number or a simplified action.)
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Probabilities.
Here, In the game of cards, we have total number of 52 cards in a deck. Since here we have to find the probability of Card 6 from the whole deck.
Let's solve,
Total Number of Cards we have = 52
Total number of 6 numbered Cards in deck = 4
Hence, probability = Favourable Outcomes ÷ Total No. of Outcomes.
So, the Probability of getting a 6 Card = 4/52
= 1/13
Hence the probability is 1/13.
please answer thanks uuuu
Answer:
Step-by-step explanation:
it is C
A scale model of a human heart is 190 Inches long. The scale is 34 to 1. How many Inches long is the actual
heart? Round your answer to the nearest whole number.
Answer:
6 inches long
Step-by-step explanation:
190/x = 34/1
34x = 190
x= 5.588235294
rounded to the nearest whole number is 6
Can somebody help me with this question plz!
Answer:
x = 5°
Step-by-step explanation:
Because of the given congruency,
Angle A = Angle D = 50° = 10x
10x = 50
x = 5°
HOPE IT HELPS!!!
If the point of the preimage is (5,2) and the point of the image is (1,2), what RULE was applied to the preimage to obtain the image?
A) (x, y + 4)
B) (x + 4, y)
C) (x - 4, y)
D) (x, y - 4)
Explanation:
We have x = 5 turn into x = 1. We need to subtract 4 from the x coordinate to get this. Therefore x turns into x-4.
The y coordinate stays at y = 2 the entire time, so y isn't altered. We have y map to y.
Overall, the rule is [tex](x,y) \to (x-4, y)[/tex] which translates the point 4 units to the left.
What is the value of 3(4(-2)+5x3)-2(7(-2)-3x3)
Need a quick answer please
Answer:
21
Step-by-step explanation:
What does POI stand for? Explain what it means.
Answer:
Point of information.
Step-by-step explanation:
A point of information (POI) is a question or a statement, that is raised while a speaker of the opposing team is speaking. You are allowed to raise a POI at any time in the speech, but not during the protected time. Protected are the first and the last minute of the speech.
Hope this helped!
The thanksgiving turkey directions say you need to cook the turkey for 60 minutes for every 4 pounds of turkey. Your mom bought a 25 pound turkey. How many minutes should she cook it for?
Answer:
Either 6.25 Minutes Or 15 Minutes Or If You Are Multilpyling It Would Be 245 Or 1500 Or 100
Step-by-step explanation:
Just Divide It And Then You Will Get The Answer
Hope My Calculations Are Right! ;)
Answer:
375
Step-by-step explanation:
That's gonna take 375 minutes:
60/4 = 15
So 15 minutes for each pound, 25*15 = 375
At the store 5 lbs of apples costs $6.70. What is the constant of proportionality that relates x, pounds of apples to y, cost in dollars?
Answer:
5x=6.70y
Step-by-step explanation:
help if you can please! if you can't please don't answer so people who know the answer can. i appreaciate every answer i get <3
Answer:
Answer is D) 15.
Step-by-step explanation:
You check this by plugging 15 into x which would make both equations equal 0.
You can also use the desmos online graphing calculator and type both equations in and then just look for the solution (the point at which they both intersect).
m+7=3+m+4
what is the value of m
Answer:
21
Step-by-step explanation:
bc 9+10
plz help :) will mark brainliest if correct
Answer:
1st
Step-by-step explanation:
Please help!!.............................
Answer:
600ft
Step-by-step explanation:
Can you guys help i’m kinda struggling
Answer:
C.) SSA
Step-by-step explanation:
This took me awhile to figure out if the angles in between are equal
But all the sides that are congruent make up several smaller triangles that are congruent and then use CPCTC to use angles of the smaller triangles to show the angles are equal
What is the slope of this function. f(x)=-3x+5
Carlos picked one of four equations in the table to solve. Carlos correctly solved the equation he chose. His answer was x = 5.
Equation 1 6x + 40 = 82
Equation 2 12x- 1 = 2
Equation 3 2x + 21 = 31
Equation 4 18x+ 9 = 13
Which equation did Carlos choose to solve?
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax. The restaurant only sells pancakes in stacks of 4 pancakes for $5.50.
Let S represent the number of stacks of pancakes that Benjamin buy
Answer: 3.25+5.50S≤30 and 16 pancakes
Step-by-step explanation: did it on khan.
Functions can be displayed as:
1.________________________________
2.________________________________
3.________________________________
4.________________________________
Answer:
Step-by-step explanation:
"A function can be represented numerically. "
"A function can be represented graphically."
"A function can be represented verbally. For example, the circumference of a square is four times one of its sides."
Hope this helps :D
The total bill of a meal at a restaurant is 25x-115. Five friends agree to split the cost of the meal equally. What could you do to find the amount that each person must pay? Explain.
Answer:
Sample response: Factor the GCF of five out of the total bill. Divide both terms of the expression by 5. The result is 5x – 23, which is the expression that can be used to find the amount each person pays.
i took the test.
Answer:
Factor the GCF of five out of the total bill. Divide both terms of the expression by 5. The result is 5x – 23, which is the expression that can be used to find the amount each person pays.
Step-by-step explanation:
I took the test, I got 100%
Show work on this pls
Answer:
6.29
Step-by-step explanation:
so you know that the unknown side which is 7x + 27 equals 71.
You can begin by subtracting 27 from 71 which will give you 44.
you then know that 44 = 7x
then you just have to do 44 divided by 7 to find x which isss...
look above at answer
How many integers between 2020 and 2400 have four distinct digits arranged in increasing
order? (For example 2957 is one such integer)
(B) 10
(C) 15
(D) 21
e 28
Answer:
the answer is E
Step-by-step explanation:
We want to find how many integers are between 2020 and 2400 such that a criteria is meet, and the criteria is that the four digits are different and are arranged in increasing order.
We will see that there are 15 of these numbers between 2020 and 2400, so the correct option is C.
---------------------------
To count the number of digits that meet the given criteria, we first need to analyze how the criteria is.
If the numbers must be in increasing order, then the smallest number that can be in the hundreds place is 3 (the smaller integer larger than 2).
so we have:
23__
The number next to the 3 can be a 4, for example:
234_
And the final number can be any number larger than 4, so we have {5, 6, 7, 8, 9} a total of 5 options.
If instead of a 4, the number next to the 3 is a 5, we have:
235_
And the number next to the five can be any digit larger than 5, so now we have 4 options.
If instead of a 5, we have a 6, we will have 3 options to put after the 6.if instead of a 6, we have a 7, we will have 2 optionsif instead of a 7, we have an 8, we will have 1 option.Now, we can't have another number than a 3 in the hundreds place, because if we put a 4 there, we are out of the range, and 3 is the smallest digit that we can use there.
Then we already saw all the possible numbers that we can make, adding the numbers of options that we got above we will get:
5 + 4 + 3 + 2 + 1 = 15
This means that are 15 of these numbers between 2020 and 2400. Then the correct option is C.
If you want to learn more, you can read:
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Solve the following equation and justify each step by stating the property used or providing an explanation for each step 6x-9=8x11
Answer:
6x9=54 11x8=88
Step-by-step explanation:
i dont get it hope it helps
Answer: x= -10
Step-by-step explanation:
Let's solve your equation step-by-step.
6x−9=8x+11
Step 1: Subtract 8x from both sides.
6x−9−8x=8x+11−8x
−2x−9=11
Step 2: Add 9 to both sides.
−2x−9+9=11+9
−2x=20
Step 3: Divide both sides by -2.
−2x /-2= 20/-2
x=−10
Answer:
x=−10
( hope this helps)
a school committee consists of 2 teachers and 4 students. the number of different committees that can be formed from 5 teachers and 10 students is
SOMEONE PLEASE HELP
Answer:
15c+3b=66 and 25c+5b=110
Step-by-step explanation:
Which ratio is equivalent to the ratio 18:24
Answer:
8 : 24 36 : 48 54 : 72 72 : 96 90 : 120
108 : 144 126 : 168 144 : 192 162 : 216 180 : 240
Step-by-step explanation:
MAth