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3 years ago

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State restrictions on the variable.

1 answer:

Mandarinka [93]3 years ago

7 0

There's one unforgivable taboo that transcends just about every branch of mathematics, and that's dividing by zero. Division by zero is undefined, so any fraction with a zero in its denominator is by definition absurd. For what values of x would the denominators on either of those fractions be zero? Those will define the restrictions on your variable.

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How many minutes equal 5.4 days? <br> a. 7776 <br> b. 1440 <br> c. 1296 <br> d. 3888

Mazyrski [523]

Hello,

Shall we begin?

Minutes of hour = 60
Hours per day = 24
Days = 5.4

= 24 * 60 * 5.4
= 7,776

<span>Answers: a) 7,776</span>

5 0

3 years ago

Help me please thanks

Rus_ich [418]

Answer:

Step-by-step explanation:

the domain is 7

the range is 2

the function is non

8 0

3 years ago

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*Find the formula of the series 1+2²+3²+4²+....+n²*<br>

Sophie [7]

The formula is $\frac{n(n+1)(2n+1)}{6}$

What are series?

In mathematics, we can describe a series as adding infinitely many numbers or quantities to a given starting number or amount.

We will find the formula as shown as below:

Let $S=1+2^2+3^2+4^2+................+n^2$

We know $(n+1)^3=n^3+3n^2+3n+1$

$(1+1)^3=1^3+3(1)^2+3(1)+1$

$(2+1)^3=2^3+3(2)^2+3(2)+1$

$(3+1)^3=3^3+3(3)^2+3(3)+1$

.

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$(n+1)^3=n^3+3(n)^2+3(n)+1$

On adding

$2^3+3^3+4^3......(n+1)^3=(1^3+2^3+3^3+.....+n^3)+3(1^2+2^2+.....+n^2)+3(1+2+3....n)+(1+1+1+....+1)$

$2^3+3^3+4^3......(n+1)^3-(1^3+2^3+3^3+.....+n^3)=3S+\frac{3n(n+1)}{2}+(1+1+1+....+1)$

$(n+1)^3-1^3=3S+\frac{3n(n+1)}{2} +n$

$n^3+3(n)^2+3(n)+1-1=3S+\frac{3n(n+1)}{2} +n$

$2n^3+6n^2+6n=6S+3n^2+3n+2n$

$6S=2n^3+3n^2+n$

$6S=2n^2(n+1)+n(n+1)$

$6S=(n+1)(2n^2+n)$

$6S=n(n+1)(2n+1)$

$S=\frac{n(n+1)(2n+1)}{6}$

Hence, the formula is $\frac{n(n+1)(2n+1)}{6}$

Learn more about Series here:

brainly.com/question/24643676

#SPJ1

3 0

2 years ago

Painted Pots lets customers choose and paint their own pottery. The store has teapots in

DiKsa [7]

Answer:

i did this but never got it right

Step-by-step explanation:

8 0

2 years ago

Find the surface area of the square pyramid using its net

Mamont248 [21]

Answer:

so basically this is easy if you break it down

Step-by-step explanation:

the triangle area= 5x4/2= 20/2= 10

there are 4 triangles so 10 x 4=40

square area= 5x5= 25

40+25= 65units^2

4 0

3 years ago

Read 2 more answers