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iragen [17]
2 years ago
6

which shape had a larger area: a rectangle that is 7 inches by 3/4 inch, or a square with side length of 2.5 inches? Show your r

easoning.
Mathematics
1 answer:
Brums [2.3K]2 years ago
6 0
In order to find the area for a rectangle, you must multiply length times width, which would be 7 x 3/4 which is 5.25. In order to find the area for a square, you do length^2, also know as length x length. Which would be 2.5^2 which is 2.5 x 2.5 which is 6.25. 6.25 is larger than 5.25, so the square has a larger area.
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Wanahton purified a portion of water with 900 grams of contaminants. Each hour, a third of the contaminants was filtered out.
Ray Of Light [21]

Answer:

B. Geometric sequence.

g(n)=900\cdot (\frac{2}{3})^{n-1}

Step-by-step explanation:

We have been given that Wanahton purified a portion of water with 900 grams of contaminants. Each hour, a third of the contaminants was filtered out.

The amount of contaminants remaining after each hour would be 2/3 of the previous hour amount as 1/3 of contaminants was filtered.

Since amount is not constant, therefore, the sequence would be geometric.

We know that explicit formula for geometric sequence is in form a(n)=a\cdot r^{n-1}, where,

a = First term,

r = Common ratio.

For our given scenario a=900 and r=\frac{2}{3}, so our required formula would be:

g(n)=900\cdot (\frac{2}{3})^{n-1}

Therefore, an explicit formula for the given geometric sequence would be g(n)=900\cdot (\frac{2}{3})^{n-1}.

8 0
2 years ago
30 POINTS! Explain how you found the equation that represents Aunt Andrea’s decorating plans from the table.
ch4aika [34]

Answer:   The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.

Hope i helped

5 0
2 years ago
Read 2 more answers
Simplify the function f (x) = one-third (81) Superscript StartFraction 3 x Over 4 EndFraction. Then determine the key aspects of
Nikitich [7]

Answer:

The answer is given below

Step-by-step explanation:

Given that:

f(x)=\frac{1}{3}(81)^ \frac{3x}{4} \\Using\ exponent\ rule:a^{xy}=a^xa^y\\f(x)=\frac{1}{3}(81^{1/4})^ {3x}\\f(x)=\frac{1}{3}(3})^ {3x}\\f(x)=\frac{(3)^ {3x}}{3^1} \\Using\ exponent\ rule:a^x/a^y=a^{x-y}\\f(x)=3^ {3x-1}

The function is an exponential function.

The domain is the set of all independent variables i.e the input values (x values). For an exponential function, the domain is the set of all real numbers. That is:

Domain: x = (-∞, ∞)

The range is the set of all dependent variables i.e the values of y. For an exponential function, the range is the set of all real numbers greater than zero. That is:

Range: y = (0, ∞)

8 0
2 years ago
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Aubree went shopping at her favorite store, Target. She bought 3 shirts and a pair of jeans that cost $28. She spent a total of
serg [7]

Answer:

88.00 and subtract 28 and the 3 shirts were

Step-by-step explanation:

answer 60

5 0
2 years ago
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A six foot man is standing 10 feet away from a 20 foot lamppost. what is the length of his shadow?
elena55 [62]
There are two congruent triangles that are being formed from the lamppost, the light, the ground and the man. Always try to draw a picture for these types of problems. It helps a lot when solving. Your answer should be about 4.3ft

4 0
2 years ago
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