How to simplify using the exponent laws
Answers
Ex
m14n13/ (m3)3n5
You would first add the 3s as it is multiplying which will give u m14n13/m6n5 and now you will subtract them. M will subratact with M and n will subtarct with n
14-6 and 13-5 which will give u m8n8
Now u have m8n8 divide by m2n4 so u subtract them whicch will give u m6n4
Now u leave that and solve your second division. M subtract m and n subtract n which will give m2n4.
Now you have m6n4 x m2n4. You will add them as it is multiplying. Your answer will be m8n8. M8n8 is your final answer
Didn’t mention before but u add and subtract the exponents
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12−n⋅5=52
n÷5+12=52
12−n÷5=52
n⋅5+12=52
Answers
Final answer:
The equation 'n⋅5+12=52' correctly models the sentence 'Twelve more than the product of a number and 5 is 52'. This equation states that when a number is multiplied by 5 and 12 is added to the resulting product, the total is 52.
Explanation:
The question provides a phrase which can be expressed as an equation in mathematics. Given the phrase 'Twelve more than the product of a number and 5 is 52', we understand that 'product' refers to multiplication, 'number' is the unknown we are solving for, typically denoted by 'n', and 'twelve more than' means adding 12. Consequently, the mathematical equation that models the sentence is: n⋅5+12=52. This equation implies, the product of a number and 5, to which 12 is added, results in 52.
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Final answer:
The equation that models the sentence is n⋅5+12=52 which has a value of 8.
Explanation:
The correct equation that models the given sentence is n⋅5+12=52.
To solve this equation, we need to isolate the variable n.
We can start by subtracting 12 from both sides of the equation:
n⋅5 = 52 - 12
n⋅5 = 40
Next, we divide both sides of the equation by 5 to solve for n:
n = 40 ÷ 5
n = 8
Therefore, the value of the number is 8.
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Answers
The reciprocal of a/b is b/a.
The reciprocal of 1 is 1.
1 is nothing but 1/1. And if you flip the numerator and denominator, you get 1/1 which is 1.
The reciprocal of -1 is -1.
-1 is nothing but -1/1. And if you flip the numerator and denominator, you get 1/-1 which is -1.
The only two numbers that have their own reciprocals are 1 and -1.
Answers
1. For triangle ABC, the value of 'x' and 'y' are 15 and 20 respectively.
2. For triangle XYZ, the value of 'x' and 'y' are 17 and 8 respectively.
What is a triangle?
A triangle is a two-dimensionalgeometrical figure that has three sides, three interior angles, and three vertices.
1. ΔABC and ΔXYZ are similar.
Therefore,
⇒
Here,
Therefore,
⇒
⇒
⇒
Again,
⇒
⇒
⇒
2. For ΔABC
BC
(Side can't be negative.)
Here, ΔABC and ΔXYZ are similar.
Therefore,
Now,
Therefore,
⇒
⇒
⇒
Again,
Therefore,
⇒
⇒
⇒
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so then AC:XZ would be 5x:2x and 5x:6 so then its 15:6 since x is 3 basically set up proportions and so value of the big triangle to the small triangle would be at rails os 5:2
Answers
Answer:
Given: A number b minus 4.2 is less than -7.5.
Here, b is the number.
"less than" symbol is represented by '<'
"minus" means subtract.
"b minus 4.2" translated to b - 4.2
Then, our inequality becomes;
To solve for b;
Add 4.2 both sides we get;
Simplify:
Therefore, an inequality for the given word sentence is,
subtract b and 4.2
less then sign is <
then <-7.5
The mean is -1
Answers
2. Find the absolute value of differences between each data an the mean:
1) |-7 -(-1)| = |-7 + 1| = |-6| = 6
2) |-2-(-1)| = |-2+1| = |-1| = 1
3) |1 -(-1)| = |1+1| = |2| = 2
4) |4 -(-1)| = |4+1|=|5|=5
3) Calculate the mean of those differences:
( 6 + 1 + 2 + 5) / 4 = 14/4 = 3.5