Answer:
9^8
Step-by-step explanation:
The total number of ants is
(total number of sections)(ants in each section).
let x be the total number of ants.
Substitute the given values.
x = (9^2)(9^6)
x = 9^(2+6) <= exponent rule: when multiplying exponents with the same base, add the exponents.
x = 9^8
Answer:
1
Step-by-step explanation:
Follow the signs rule:
IF:
There is a + sign, and the number directly next is +, add
There is a + sign, and the number directly next is -, subtract
There is a - sign, and the number directly next is +, subtract
There is a - sign, and the number directly next is -, add
In this case, there is a plus sign, and a negative sign, therefore, subtract:
5 + (-4) = 5 - 4 = 1
1 is your answer.
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1). $2,700 is (2,700/6,000) = 45% of 6,000.
It took 6 years to earn it, so it earned (45%/6) = 7.5% each year.
That's the simple-interest rate.
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2). The investment earns 4.5% each year, so it earned 9% in 2 years.
The $1,150.65 is the 9% of the original investment. Call it V.
1150.65 = 0.09 x V .
Divide each side by 0.09 :
V = 1150.65 / 0.09 = $12,785 .
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3). There are 18 marbles in the bag all together.
a). 8 of them are green. If you close your eyes and pull out 1 marble,
the probability that it's a green one is
8/18 = 4/9 = 44.4% .
b). If it was a red marble, and you put it in your pocket, then
there are only 17 in the bag now, and 8 of them are still green.
If you pull another one, the probability that it's green is
8/17 = 47.1% .
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5). There are 10 marbles in the bag all together.
(The second sentence doesn't say anything, and doesn't mean anything.)
If you pull out a silver marble and put it in your pocket, then
there are 9 marbles in the bag, and 2 of them are orange.
The probability of pulling an orange marble now is
2/9 = 22.2% .
Thomas and his grandparents are on a trip of 140-mile. From Points D and E, there is no movement of the bus, which means they halt at the point.
<h3>What is a graph?</h3>
An orderly schematic illustration or diagram of facts or quantities is known as a graph in mathematics.
Usually, the graph's examples indicate how two or more items are related to one another.
As per the graph provided in the question,
As we can see in the graph there are covering 140 miles in a bus and the graph shows distance (in miles) and time (in hours).
From the graph we can see that between point D and E only time is increasing but the distance is constant which means they stopped at some place to halt.
To know more about Graph:
brainly.com/question/17267403
#SPJ2
Answer:
<em>- point-slope form</em>
<em>- function notation</em>
Step-by-step explanation:
The point-slope form of an equation of a line:
<em>m</em><em> - slope</em>
The formula of a slope:
From the graph we have the points (-2, -1) and (1, 0).
Substitute:
<em>- point-slope form</em>
<em>use the distributive property</em>
<em>subtract 1 = 3/3 from both sides</em>
