Erin ran 1/4 the distance that Carolyn ran. Erin ran a total of 1.5 miles. How far did Carolyn run? (Please explain)
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What is the value of 8P4? a.40,320 b.1680 c.32 d. 24
Calculate: 2.7·6.2–9.3·1.2+6.2·9.3–1.2·2.7plz help asap
Which function is the inverse of f(x) = -5x-42
Please help don't really understand pic below
(–2)5
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The answer of -10
what is expression?
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
- Constant: A constant is a fixed numerical value.
- Variable: A variable is a symbol that doesn't have a fixed value.
- Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
- Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given:
(–2)5
Using integer (-)*(+)= (-)
=-2*5
=-10
Hence, the expression is -10.
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55x11=605
53x8=424
605+424=1029
1029 is the answer
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a#b=2a-b
1=2a-b
1=(2×3)-b
1=6-b
collect like terms
1-6=-b
-5=-b
divide both sides by1
5=b
:.b=5
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A number 8.984 will be rounded up to 9.
What is rounding off the numbers?
When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.
The given number is 8.984 and it will be rounded up to the number 9.
The number 8.984 will be rounded up to 9.
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5,3,1,-1 find a^18
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Arithmetic sequence 5, 3, 1, -1 then value of a^18 is 3814697265625.
Solution:
Given, arithmetic sequence is 5, 3, 1, -1
We have to find the value of
We know that, first term of any A.P is represented by the letter “a”
So, here in our problem first term a = 5
Then we have to find the value of
Hence, the value of a^18 is 3814697265625.
Final answer:
The 18th term of the arithmetic sequence is -29.
Explanation:
An arithmetic sequence is a sequence in which the difference between any term and its preceding term is constant. In this case, the common difference is -2, because each term is decreased by 2 to get the next term. To find the 18th term, we can use the formula:
an = a1 + (n-1)d
where an is the term we want to find, a1 is the first term, n is the position of the term, and d is the common difference.
Using the given sequence, we can substitute the values into the formula:
a18 = 5 + (18-1)(-2) = 5 + 17(-2) = 5 - 34 = -29
Therefore, the 18th term of the given arithmetic sequence is -29.
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A population of 110,000 grows 5% per year for 16 years.
How much will the popluation be after 16 years?
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Answer:
The population will be 240,116
Step-by-step explanation:
Exponential growth can be represented by the expression:
where:
is the population at time (t)
is the initial value of the population
"r" is the annual rate of growth (written in decimal form)
and "t" is the time in years.
Therefore in this situation, P(16) is what we want to find [the population after 16 years]
the initial population is 110,000
the rate of growth is 0.05 [decimal form of 5%]
and t is 16 years.
Replacing all these in the given functional form gives: