All categories

4 years ago

Which of the following is true?

Mathematics

1 answer:

solmaris [256]4 years ago

5 0

Answer: B. |-6| < |-8|

Step-by-step explanation:

The absolute value of something means its distance from zero. It could be said that any number between the modules (||) will always be positive. So, if we think of |-6| as positive 6 and |-8| as positive 8, we can easily say that |-6| < |-8|.

Hope this answers your question! :)

You might be interested in

When using bits to represent fractions of a number, can you create all possible fractions?.

mafiozo [28]

Every rational number has a base-2 representation, but only the ones with denominators that are powers of 2 will require a finite number of bits to fully represent it.

For example,

$\dfrac12 = 1\cdot2^{-1} = 0.1_2$

$\dfrac14 = 1\cdot2^{-2} = 0.01_2$

$\dfrac34 = \dfrac12 + \dfrac14 = 0.11_2$

$\dfrac{1023}{1024} = 1 - \dfrac1{2^{10}} = 1_2 - 0.0000000001_2 = 0.1111111111_2$

whereas a number whose denominator contains anything else like 1/3 will need an infinite number of bits to represent it exactly.

$\dfrac13 = \dfrac1{2^2} + \dfrac1{12} = \dfrac1{2^2} + \dfrac1{2^4} + \dfrac1{48} = \dfrac1{2^2} + \dfrac1{2^4} + \dfrac1{2^8} + \dfrac1{192}$

and so on, so that it has a repeating but non-terminating base-2 representation

$\dfrac13 = 0.010101\ldots_2$

5 0

1 year ago

A hemispherical tank is filled with water and has a diameter of 14 feet. If water

tigry1 [53]

Answer:

$44,826.72\ \text{pounds}$

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

$V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3$

If water weighs 62.4 pounds per cubic foot, it means

$V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}$

So, the total weight of the water is $44,826.72\ \text{pounds}$ .

3 0

3 years ago

Can you help me please

notsponge [240]

9514 1404 393

Answer:

reflection across the origin
rotation 180° about the origin
reflection across the x-axis, and translation right 6 units

Step-by-step explanation:

The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:

1. reflection across the origin

2. rotation 180° about the origin

3. reflection across both x- and y-axes, in either order

The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...

4. reflection across the x-axis and translation 6 units right, in either order

8 0

3 years ago

Foster makes sandwiches at a deli. There are 8 1/2 (eight and one half) pounds of turkey at the deli. How many 1/4 (one fourth)p

atroni [7]

foster can make 42 1/4-pound turkey sandwiches

explanation: 10.5 divided by 1/4 is 42

4 0

3 years ago

The bases in a major league diamond are locate at the corners of a 900 yd^2 square as pictures below. a player throws a baseball

Licemer1 [7]

To answer this, you will use the area of 900 square yards to determine the distances between the bases. Each side of the square is 30 yards, so it will be 30 yards from 1st to home and from 1st to 2nd.

The distance from home to 2nd is a diagonal in the square (the hypotenuse).

You will use the Pythagorean Theorem to find this distance.

a^2 + b^2 = c^2
30^2 + 30 ^2 = c^2
900 + 900 + c^2
1800 = c^2

The square root of 1800 is approximately 42.4 yards.

The ball travels approximately 42.4 yards.

5 0

3 years ago