The Great Lakes have a water area of about 2.44 X 105 square
kilometers. One of them, Lake Huron, has a water area of about
6.0 x 104 square kilometers. What approximate fraction of the total
water area of the Great Lakes does Lake Huron represent?
Answer:
15/61 ≈ 1/4
Step-by-step explanation:
The fraction is the area of Lake Huron divided by the total area.
(6.0·10^4)/(24.4·10^4) = 6/24.4 = 15/61
This is approximately 15/60 = 1/4.
The area of Lake Huron is 15/61 of the total area of the Great Lakes, about 1/4 of the total.
Find the explicit formula for the nth term of the following sequence where the first term is a1
{-6/7, 7/9, -8/11, 9/13, -10/15, ...}
Pls no links, I actually need help
The numerators in each term are consecutive integers ≥ 6. If n = 1 refers to the first term, then the numerator of the n-th term would be n + 5.
The denominators are consecutive odd integers ≥ 7. Odd numbers take the form 2k - 1, where k is any integer, and 2k - 1 = 7 when k = 4. But we want our sequence to start at n = 1, so we replace k here with n + 3. Then the denominator of the n-th term would be 2 (n + 3) - 1, or 2n + 5.
The odd-indexed terms are negative, while the even-indexed terms are positive. We can account for the sign of the term by multiplying by (-1)ⁿ.
Taking everything together, it follows that the n-th term in the sequence is
[tex]a_n = (-1)^n \dfrac{n + 5}{2n+5}[/tex]
Write the name of a polynomial (using the degree) with the sequence of the
outputs: (5,2,-1,-4, ...}*
Type ONE word
Answer:
pentagon
Step-by-step explanation:
5 degree angle
113 + 377 = 117 + _
Pls answer guys.
Answer:
373
Step-by-step explanation:
113+377=490
490-117=373
answer:
=117+373
400+5 please help me
Answer:
the answer is defently 405
Step-by-step explanation:
so you have 400 and 5 and 400+5=405
Lucas and his brother, Max, went to the arcade yesterday. Lucas played 2 games of Rodeo Racing and 8 games of Polar Pinball. Max played 3 games of Rodeo Racing and 9 games of Polar Pinball. Which brother played the greater ratio of Rodeo Racing to Polar Pinball?
Answer:
Max
Step-by-step explanation:
Lucas played 2 Rodeo Racing:8 Polar pinball = 1:4 (Divide by 2)
Max played 3 Rodeo Racing:9 Polar pinball = 1:3 (Divide by 3)
1:3 is greater than 1:4 so this proves that Max has played the greater ration of Rodeo Racing to Polar Pinball.
Answer:
Max played the greater ratio.
Step-by-step explanation:
:)
Peter has 100$. The price of a watch is 60$. If Peter gets 25% discount,can he buy 2 watches?
yes.
25 percent discount means that the price of one watch is 45 dollars.
45 plus 45 is less than 100.
Answer:
The answer is yes.
Step-by-step explanation:
25% = divide by 4
25% of 60$ = 60$ divided by 4 = 25$
So then we need to do 60$ - 25$ which equals to 45$.
45$ + 45$ = $90.
Hope that helps. x
The volume of the triangular prism is 54 cubic units.
What is the value of x?
03
O 5
O 7
9
3x
what is the answer
Answer:
3 units
Step-by-step explanation:
I hope it helps you!
Cost to store is $32, Markup 3%, what's the selling price, what is answer?
Answer:
the answer to this question is $32.96
Using the distance formula, find the distance between -52 and 9.
What is the value of x?
Answer:
55
Step-by-step explanation:
As you can see, the length of the outer angle is 125. So, 180 - 125 = 55.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
i don't know but I think question 1 is 64
Write the equation of the line that passes through the points (-1,3) and (-1,-9).
Answer:
The equation of the line is x=-1.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-9-3)/(-1-(-1))
m=-12/(-1+1)
m=-12/0
undefined.
Since the slope is undefined,
it follows that this is a vertical line with the equation x=-1.
completing the square: x^2+2x-7=8x
Answer: x = 7, x = -1
Step-by-step explanation: Move the term to the left side
x^2 + 2x - 7 = 8x
x^2 + 2x - 7 - 8x = 0
Combine like terms
x^2 + 2x - 7 - 8x = 0
x^2 - 6x - 7 = 0
x^2 - 6x - 7 = 0
a = 1
b = -6
c = -7
x = -(-6) + (-6)^2 - 4 x 1(-7)/ 2 x 1
Evaulate the Exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Multiply the numbers x = 6 ± 8/2
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x = 6 + 8/2
x = 6 - 8/2
Rearrange and isolate the variable to find each solution
x = 7
x = -1
Factor completely.
121x^2 – 144
Answer: (11x+12)(11x−12)
Step-by-step explanation: (11x+12)(11x−12) (11x+12)(11x+−12) (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12) 121x2−132x+132x−144 121x^2-144
what is the difference in length between a 1 1/4 and 3/8
Answer:
7/8
Step-by-step explanation:
1 1/4 is the same as 5/4.
5/4 is also the same as 10/8.
The distance from 3/8 to 10/8 is 7/8.
Hope that helps
Answer:
1 1/4 - 3/8
5/4 - 38
10/8 - 3/8
7/8
Solve the compound inequality and graph the solutions.
-10<2x – 10 <30
The solutions to the compound inequality are
Answer:
0 ≤ x ≤ 20.
Step-by-step explanation:
-10≤2x – 10 ≤30
2x - 10 ≤ 30
2x ≤ 40
x ≤ 20.
2x - 10 ≥ -10
2x ≥ 0
x ≥ 0.
For compund inequalities you will have to separate both sides of the inequality into different equations so you can later plug it in.
For Example:
-10 ≤2x-10 Would be 0 ≤x
Add 10 on both sides, end up with 0≤2x then divide by 2 on both sides and end up with 0≤x
2x-10 ≤30 Would be x ≤20
Add 10 on both sides end up with 2x≤40 divide by 2 on both sides and end up with x≤20
So the answer would be 0 ≤ x ≤ 20
at what rate of simple interest will ₹4400 amount to ₹5610 in 5 years 6 months
Answer:
0.05 or 5%
Step-by-step explanation:
The formula for simple interest is as follows:
A = P(1+rt), with A representing the final amount, P representing the initial amount, r being the rate, and t being time. Plugging our values in, we have
5610 = 4400(1+5.5r). We know that 5 years and 6 months is 5.5 because 6 months = 0.5 years
5610 = 4400(1+5.5r)
expand
5610 = 4400 + 24200r
subtract 4400 from both sides to isolate the variable and its coefficient
1210 = 24200r
divide both sides by 24200 to isolate the variable
r = 0.05 or 5% as 0.05 * 100 = 5
‼️DUE TODAY‼️
(Question in the picture)
Answer:
I Don't know
Step-by-step explanation:
I don't know I don't know I don't know
what is the answer, A, B, D, or E? Please Let me know????
Answer:
B and D
Step-by-step explanation:
B -> -1.4z multipled by 40 is - 56z, 0.7 multipled by 40 is 28, thus giving us - 56z + 28.
D -> When we expand (8z - 4)(-7) we will get -56z + 28 as 8z multipled by - 7 is - 56z (remember positive times negative equals negative) and - 4 multipled by - 7 is 28 (negative times negative equals positive)
What is the slope
A. 2
B. 4
C. 5
We know the slope formula.
=> [tex]\frac{y_{2} -y_{1} }_{x_{2}-x_{1} } }[/tex]=> [tex]\frac{16-12}{7-5}[/tex]=> [tex]\frac{4}{2}[/tex]=> [tex]2[/tex]Conclusion:Therefore, the slope is 2.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
. What is the fraction form of $0.25?
Answer:
1/4
Step-by-step explanation:
Since 0.25 is 1/4 of 1
PLEASE HELP!! find the value of x. attached image.
Answer:
x = 4
Step-by-step explanation:
The angle markings at the bottom of the triangle mean they are congruent. Since they are the only two congruent to each other, that means this triangle is an isosceles triangle.
In an isosceles triangle, not only are the bottom angles congruent, their opposing sides are congruent as well. In this instance, that means 9x - 8 = 28. Knowing that we can solve for x.
[tex]9x-8=28\\\\9x-8+8=28+8\\\\9x=36\\\\\frac{9x}{9}=\frac{36}{9}\\\\x=4[/tex]
Answer:
x = 4Step-by-step explanation:
9x - 8 = 28 ( converse of isosceles triangle )
(If two angles of a triangle are congruent , then the sides opposite to these angles are congruent.)
[tex]9x - 8 = 28 \\ 9x - 8 = 28 + 8 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ [/tex]
how to do theoretical probability on calculator
Answer:
below!
Step-by-step explanation:
Theoretical probability is used in mathematics to express the likelihood that a specific phenomenon will occur. Learn about the definition, formula, and real-world examples of theoretical probability like which flavor gumball a machine is most likely to dispense
Can someone plz help Me?
the answer to your question is C. 6^4
Answer:C? sorry if im wrong
Step-by-step explanation:
three pounds of bananas cost $1.95. Which of the following is not true?
Answer:
put the examples on the test or assignment so i can answer it
QUICKKKKK DJWKCJKWFN
Step-by-step explanation:
just take from me..your most best and smarties person ever...i don't know the answer
Gerry purchases 12 hamburgers at a fast food restaurant for $2.25 each. For half the amount of money, he could purchase 5 buffalo chicken sandwiches. What is the “half” amount?
please help me asap
ty :)
Answer:
y= 3x+16
Step-by-step explanation:
y = 3x + 8 ║ y= mx +b
Since lines are parallel, m=3
y= 3x+b
(-3, 7) intersect
7= 3*(-3) + b
b= 7+9
b= 16
y= 3x+16
Step-by-step explanation:
while the other answer is correct, here also the way as the hint suggests :
y - 7 = 3(x - -3) = 3(x + 3) = 3x + 9
y = 3x + 9 + 7 = 3x + 16
and there you have it : the same result just by using the point-slope form first.
I need help putting these together in the correct place
Answer:
whats do you mean by that whats the question ❓