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3 years ago

If the ratio of corresponding segments is 2:3, then the ratios of the areas and volumes are

Mathematics

1 answer:

kobusy [5.1K]3 years ago

6 0

Answer:

4:9

Step-by-step explanation:

Area is squaring and Volume is cubing

So it'd be 2^2:3^3, or 4:9

I hope this helped and have a good rest of your day!

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each time kim pour water from a jug into a glass, exactly 10% of the water remaining in the jug is used. What is the minimum num

Gnoma [55]

The correct answer is:

At least 7 times.

Explanation:

Since 10% of the water in the jug is removed each time, this means that 100-10=90% of the water remains.

After two times, we would have 0.9(0.9) = 0.81 = 81% of the water; each time she pours, the number of times 0.9 is multiplied by itself changes. This makes this an exponential inequality (it is not an equation, as we want "less than half of the water"):

$0.5 < 0.9^x$

To solve this, we will use logarithms:

$\log_{0.9}(0.5)$

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3 years ago

Madison is buying a $3,000 car at 9% simple interest for 2 years. What will be the total amount she pays for the car?

zmey [24]

The answer to the question is 18$

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3 years ago

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Rewrite each of the following statements in the form "∀ _____ x, _____." (a) All dinosaurs are extinct. ∀ x, . (b) Every real nu

jasenka [17]

Answer:

See below

Step-by-step explanation:

Essentially, we have to replace "quantifier words" like "All", "Every" by the universal quantifier ∀.

a) ∀ dinosaur x, x is extinct.

b) ∀ real number x, x is positive, negative, or zero.

c) ∀ irrational number x, x is not an integer.

d) ∀ logician x, x is not lazy.

e) ∀ integer x, x²≠ 2,147,581,953.

f) ∀ real number x, x²≠ -1.

In a) and b) we replace the words without major changes. In the other statements, we modify the statement using negation. For example, "No irrational numbers are integers." is equivalent to "Every irrational number is not integer".

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3 years ago

If the boolean expression a is true and b is false, the value of the logical expression a and b is ________.

makkiz [27]

false The truth table for the and function is Inputs output a b t/f f f f f t f t f f t t t which shows that the and function is only true if and only if both of its inputs are true. Since b is false, then the value of the function a and b is false.

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3 years ago

last year there were b pies baked for the bake sale. This year there were 194 pies baked. Using b write an expression for the to

muminat

Answer:

b+194=pies

Step-by-step explanation:

take the number of pies baked this year then add the b and then you get p(pies)

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2 years ago