All categories

4 years ago

Which number comes next in the series? 1 – 8 – 27 – 64 – 125 – 216 –?

Mathematics

1 answer:

dalvyx [7]4 years ago

3 0

${7}^{3} = 343$

You might be interested in

Savatey [412]

Answer: 8 hours

Step-by-step explanation: First, find the unit rate. For one hour of work, she earns 0.05263157894. Multiply this number 152.

4 0

3 years ago

Prove the following statement.

gayaneshka [121]

Answer:

You can prove this statement as follows:

Step-by-step explanation:

An odd integer is a number of the form $2k+1$ where $k\in \mathbb{Z}$ . Consider the following cases.

Case 1. If $k$ is even we have: $(2k+1)^{2}=(2(2s)+1)^{2}=(4s+1)^{2}=16s^2+8s+1=8(2s^2+s)+1$ .

If we denote by $m=2s^2+2$ we have that $(2k+1)^{2}=8m+1$ .

Case 2. if $k$ is odd we have: $(2k+1)^{2}=(2(2s+1)+1)^{2}=(4s+3)^{2}=16s^2+24s+9=16s^{2}+24s+8+1=8(2s^{2}+3s+1)+1$ .

If we denote by $m=2s^{2}+24s+1$ we have that $(2k+1)^{2}=8m+1$

This result says that the remainder when we divide the square of any odd integer by 8 is 1.

6 0

3 years ago

Write the equation of a circle given the center (-4, 4) and raduis r = 5.

Len [333]

Answer:

A) $(x+4)^2+(y-4)^2=25$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius. If $(h,k)\rightarrow(-4,4)$ and $r=5$ , then:

$(x-h)^2+(y-k)^2=r^2\\\\(x-(-4))^2+(y-4)^2=5^2\\\\(x+4)^2+(y-4)^2=25$

Therefore, the equation of the circle is $(x+4)^2+(y-4)^2=25$

6 0

2 years ago

ÜSLÜ SAYILAR

omeli [17]

cant understand your language can you translate in English

7 0

3 years ago

Who is life insurance best suited for?

Delvig [45]

Answer:

A) College Student

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers