Archetype save one thing from a burning building, what would it be?

Which is a possible expression for the series<br> –7 + 12 –17 +22 –27

mamaluj [8]

First, you have to see the behavior of the series: it has a negative number, then a positive number with a 5 addd (7+5=12), and this is repeated with the others values. Each termn has a 5 added. In this case, as there is negatives values alternated, the serie will have the termn (-1)^n. Then, we have:

a(n)=(-1)^n[ a + (n-1)d ]
a(n)=(-1)^n[ (7) + (n-1)(5) ]
a(n)=(-1)^n( 5n + 2 )

A possible expression for the serie <span>–7 + 12 –17 +22 –27, is:
</span>
∑5n=(−1)^n(2+5n)

7 0

3 years ago

What is the answer for 7x-(7+3x)

Papessa [141]

Answer:

4x - 7

Step-by-step explanation:

We can simplify this expression by subtracting the binomial (a bracket with two terms) and collecting like terms (numbers with the same variable).

When subtracting a binomial, are actually multiplying each term in the binomial by negative one.

7x -(7 + 3x)

= 7x -1(7 + 3x) Distribute -1 to each of the numbers

= 7x + (7*(-1) + 3x*(-1)) Multiply

= 7x + (-7 - 3x) Get rid of the brackets.

= 7x - 7 - 3x Combine like terms

= 4x - 7 Simplified expression

7 0

4 years ago

428 students were surveyed about their preferences of sports. 133 students like football, 142 students like baseball, and 50 stu

trasher [3.6K]

Answer:

Step-by-step explanation:

4 0

3 years ago

Suppose a right circular cone has a fixed height 3.6 inches. Use differentials to estimate the change in the volume of the cone

kupik [55]

Answer:

dV/dt = 0,474552 in³/units of time

dV/dt = 0,47 in³/units of time

Step-by-step explanation:

Volume for the right circular cone:

V(c) = (1/3)*π*x²*h

Where x is radius of the circular base, and h the heigt

Differentiating on both sides of the equation, keeping in mind that h is constant, we get:

dV/dt = (1/3)*3,6*2*x*dx/dt (1)

Now when radius changes from 1,3 to 1,27 inches or 0,03 in in/units of time

dV/dt = (1/3)*3,6* 2*(1,3)²*dx/dt

units h in inches

radius in inches

dx/dt in inches/units of time

Then

dV/dt = 0,474552 in³/units of time

dV/dt = 0,47 in³/units of time

4 0

4 years ago

Lucy throws a fair six sided dice . so like the letter that matches the probability of the dice landing on a number between 1 an

irakobra [83]

Answer:

Letter B matches the probability.

Step-by-step explanation:

Lucy throws a fair six sided dice.

Probability of the dice landing on a number between 1 and 6 = $\frac{\text{Favorable outcome}}{\text{Number of events}}$

= $\frac{1}{6}$

On a number line fraction $\frac{1}{6}$ can be represented by,

An small section (A to B) will represent the fraction = $\frac{1}{6}$

Therefore, letter B will match the probability of a dice landing on a number between 1 and 6.

4 0

3 years ago