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3 years ago

How would you express the number 52 using the binary number system?

Mathematics

1 answer:

slega [8]3 years ago

4 0

2^5 + 2⁴ + 2² = 110100

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The difference of three times a number and 16 is at least 8

RoseWind [281]

3n-16<8
3n<24
n<8
............

4 0

3 years ago

Thomas invested $1498.00 at 6% simple interest per annum calculate How long it will be before his investment earns $449.40

valentinak56 [21]

Answer:

t = 6 years

Step-by-step explanation:

Use the simple interest formula: i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.

Here we want to know how long it will take for the interest alone to reach $449.40. We first solve i = prt for t, obtaining t = i/(pr).

Here, the length of time is t = ($449.40) / (0.06*$1498.00). This works out to

t = 5.9947, or approximately 6 years.

t = 6 years

8 0

3 years ago

There are 6 buses transporting students to a baseball game with 32 students on each bus. Each row at the baseball stadium seats

9966 [12]

6 buses with 32 students per bus.....6 x 32 = 192 students

each row seats 8 students...192/8 = 24 rows will be needed for all students

8 0

3 years ago

Use the distributive property to demonstrate that the product of 10 and -1/5 is a negative number. Make sure to include all step

rodikova [14]

-1(10 * (-1/5))

(-10)(1/5)

-2

4 0

3 years ago

The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S

IRINA_888 [86]

Answer:

see the explanation

Step-by-step explanation:

we have

$f(x)=\sqrt{-x}$

we know that

The radicand of the function cannot be a negative number

$-x\geq 0$

Solve for x

Multiply by -1 both sides

$x\leq 0$

The domain of the function f(x) is the interval -----> (-∞, 0]

The domain is all real numbers less than or equal to zero

The range of the function f(x) is the interval ----> [0,∞)

The range is all real numbers greater than or equal to zero

<em>Example</em>

For x=144

$144\leq 0$ ----> is not true

This value of x not satisfy the domain

substitute

$f(x)=\sqrt{-144}$ ----> this value is undefined

For x=-144

$-144\leq 0$ ----> is true

This value of x satisfy the domain

substitute

$f(x)=\sqrt{-(-144)}$

$f(x)=\sqrt{144}$ ----> this value is defined

therefore

The function will be undefined for all those values of x that do not belong to the interval of the domain of the function

6 0

3 years ago

Read 2 more answers