The solution to the problem is as follows:
We have 2+.8(2) + .8(.8(2)) + .8(.8(.8(2))) + ... =
2( .8^0 + .8^1 + .8^2 + .8^3 + ... ) =
2(.8^n -1) / (.8-1) . As n-->infinity, .8^n-->0 giving us
<span>2(-1)/(-.2) = 2(5) = 10 meters.
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Answer:
4. A) 
3. A) 
2. D) 
1. C) 
Step-by-step explanation:
4. Two families combined have <em>at</em><em> </em><em>least</em><em> </em>3 pets.
3. $1500 is your result, so everything else is straightforward simple, knowing that the keywords <em>at</em><em> </em><em>least</em><em> </em>$1500<em> </em>mean <em>greater</em><em> </em><em>than</em><em> </em><em>or</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em>$1500.
2. Find the correspondents, then determine what inequality to use. In this case, you will use <em>less than</em><em> </em><em>or equal</em><em> </em><em>to</em><em> </em>because overpaying is UNNECESSARY.
1. <em>Eight</em><em> </em><em>dollars</em><em> </em><em>each</em><em> </em><em>pizza</em><em> </em>and <em>twelve</em><em> </em><em>dollars</em><em> </em><em>each</em><em> </em><em>pizza</em><em> </em>is <em>12x</em><em> </em>and <em>8x</em>.<em> </em>The rest is straightforward simple because you now have your <em>initial</em><em> </em><em>costs</em><em> </em>of <em>$</em><em>45</em><em> </em>and <em>$</em><em>5</em>,<em> </em>and the exercise tells you that the total charge for Company A is <em>less than</em> the total charge for Company B, therefore you have your answer.
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Answer:
Step-by-step explanation:
4x² - 9
(2x)² - 3²
(2x + 3)(2x - 3)
Factor 1 spot:
2 tiles of x
3 tiles of positive 1
Factor 2 spot:
2 tiles of x
3 tiles of negative 1
-2x + 3 > 3(2x - 1)
the inequality sign > means 'greater than'.
First simplify the right side of the equation by distributing the 3 over the parentheses:-
-2x + 3 > 6x - 3
Now add -6x to both sides of the inequality which gives us
-8x + 3 > -3
Adding -3 to both sides we have
-8x > -6
The next step is to divide both sides by -8 so x is isolated on the left side and this gives us the solution. However there is a rule with inequalities that if you divide the variable term by a negative the inequality is flipped. So in this case , greater that (>) becomes less than (<):-
-8x / -8 < -6/-8
x < 3/4 is your answer.
Answer:
81%
Step-by-step explanation:
Let 'L' be the dominant and 'l' e the recessive allele for ‘lazybuttness’.
Since ‘lazybuttness’ is an autosomal dominant condition, the 19% of students affected by the condition correspond to the homozygous dominant (LL) and heterozygous (Ll) genotypes. Therefore, the rest of the population has the homozygous recessive genotype (ll) and is not affected. The frequency of students not affected is:
F = 100% - 19% = 81%