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3 years ago

Two glass containers are shown. Both are right rectangular prisms. Container 1 is filled with water and Container 2 is empty.

Mathematics

1 answer:

dmitriy555 [2]3 years ago

6 0

9514 1404 393

Answer:

18 in

Step-by-step explanation:

The volume of each container is the product of its dimensions:

V = LWH

We can let h represent the unknown height of Container 2. The volumes are equal when ...

32·18·12 = 24·16·h

(32·12·18)/(16·24) = h =18 . . . . . divide by the coefficient of h, simplify

The missing height of Container 2 is 18 inches.

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If Joel’s family starts with a full tank of gas, can they drive the car for 15 days without the warning light coming on?

vlada-n [284]

Answer:

Yes they can drive for 15 days without the light

Step-by-step explanation:

If its 0.5 gass each day 0.5 gas ×15days that would be 7.5

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3 years ago

What is the recursive of this:

abruzzese [7]

Answer:

$a_n=a_{n-1}+2^{n-1}\ \ n>1$

Step-by-step explanation:

Recursive Sequence

We are given the following sequence:

-1, 1, 5, 13...

It's required to find the recursive term for the sequence.

A recursive formula calculates each term as a function of one or more previous terms.

To find the recursive formula, we must find a pattern and transform it into a math expression.

Let's write the sequence, and below it, the difference of consecutive terms:

-1, 1, 5, 13...

+2, +4, +8

Note the difference between consecutive terms is always a power of 2, starting from 2^1, 2^2, 2^3.

The exponent is one less than the number of the term, thus:

$a_n-a_{n-1}=2^{n-1}$

Thus:

$\mathbf{a_n=a_{n-1}+2^{n-1}\ \ n>1}$

Testing:

n=1

$a_1=-1$ (given).

n=2

$a_2=a_{1}+2^{2-1}=-1+2^{1}=1$

n=3

$a_3=a_{2}+2^{3-1}=1+2^{2}=5$

n=4

$a_4=a_{3}+2^{4-1}=5+2^{3}=13$

3 0

2 years ago

Here is a polygon on a grid. An L shaped figure on a square grid. Draw a scaled copy of this polygon that has a perimeter of 30

yanalaym [24]

Answer: the perimeter of this L shaped figure is 10 units, so scaling it by 3× would make the perimeter 30 units. so the scale factor is 3

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3 years ago

Work out m and c for the line: y = 9 − x

Arlecino [84]

Answer:

m = -1

c = 9

Step-by-step explanation:

m is slope, which is the coefficient of x

c is the y-int, which is the constant

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3 years ago

Write twenty-four minus the product of three and two as a numerical expression

JulijaS [17]

Step-by-step explanation:

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2 years ago