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2 years ago

Find the value of the expression.

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

3 0

Answer:

Step-by-step explanation:

((3/5 ^0)^-2)

3/5^0=0

0^-2= 0

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Estimate the quotient by rounding the expression to relate to a one-digit fact. Explain your thinking in the space below. a. 432

erastovalidia [21]

Answer:

5 remainder 50 and 2 remainder 100

Step-by-step explanation:

432 /73

432=400

73=70

70/400 = 005 Remainder 50

1275=1300

588=600

1300/600=2 remainder 100

8 0

3 years ago

Use an induction proof to prove this statement:<br> For n≥1, 4^n+5 is divisible by 3.

Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all $n\in\mathbb{N},3|(4^n+5)$ . This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let $n=1$ , then we have $4^{1}+5=9$ , and evidently, $9|3$ .

Assume that $4^n+5$ is divisible by $3$ for $n=k, k\in\mathbb{N}$ . Then, by this assumption, $3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}$ .

Now, let $n=k+1$ . Then:

$4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)$

Since $3|(4^k+m)$ , we may conclude, by the axiom of induction, that the property holds for all $n\in\mathbb{N}$ .

3 0

2 years ago

I need help... ASAP please

qwelly [4]

Answer:

Step-by-step explanation:

because it explains what the graph shows

7 0

3 years ago

What is the general term equation, an, for the arithmetic sequence 5, 1, −3, −7, . . . , and what is the 21st term of this seque

Sonja [21]

The general term is obtained by starting with the initial value 5 and then subtracting 4 each time you wish to generate a new term:

a2 = second term = 5+(2-1)(-4) = 5+(-4) = 1

General term:

an = nth term = 5+(n-1)(-4)

Thus, the 21st term is 5+(21-1)(-4) = 5 + (20)(-4) = -75 (answer)

6 0

3 years ago

Jill buys a wooden toy chest online for $31.If shipping and handling are an additional 30% of the price, how much shipping and h

attashe74 [19]

Answer:

$9.30

Step-by-step explanation:

shipping and handling cost = percentage of shipping and handling x price

30% x $31

0.3 x $31 = $9.30

3 0

3 years ago