In 4 weeks, it dropped 3 feet in total.
The unit rate of this is 3 feet / 4 weeks
If we simplify this into days, this will be the solutions
=> 4 weeks has (4 * 7) 28 days in total, so we need to divide 3 feet by 28 days to get the simplified unit rate.
=> 3 feet / 28 days
=> .107 feet / day.
So the water drops .107 feet per day and in 4 weeks the total of 3 feet.

3 0

4 years ago

What is the value of the x variable in the solution to the following system of equations? 2x - 3y = 3

scZoUnD [109]

Answer:

(0,-1)

value x is 0

value y is -1

8 0

3 years ago

The first term of a geometric sequence is 6 and the fourth term is 384. What is the sum of the first 10 terms of the correspondi

aleksandrvk [35]

Answer:

2097150

Step-by-step explanation:

GIVEN :-

First term of G.P. = 6
Forth term of G.P. = 384

TO FIND :-

Sum of first 10 terms of the G.P.

CONCEPT TO BE USED IN THIS QUESTION :-

Geometric Progression :-

It's a sequence in which the successive terms have same ratio.

General form of a G.P. ⇒ a , ar , ar² , ar³ , ....... [where a = first term ; r = common ratio between successive terms]

Sum of 'n' terms of a G.P. ⇒ $\frac{a(r^n - 1)}{r-1}$ .

[NOTE :- $\frac{a(1-r^n)}{1-r}$ can also be the formula for "Sum of n terms of G.P." because if you put 'r' there (assuming r > 0) you'll get negative value in both the numerator & denominator from which the negative sign will get cancelled from the numerator & denominator. YOU'LL BE GETTING THE SAME VALUE FROM BOTH THE FORMULAES.]

SOLUTION :-

Let the first term of the G.P. given in the question be 'a' and the common ratio between successive terms be 'r'.

⇒ a = 6

It's given that forth term is 384. So from "General form of G.P." , it can be stated that :-

$=> ar^3 = 384$

$=> 6r^3 = 384$

Divide both the sides by 6.

$=> \frac{6r^3}{6} = \frac{384}{6}$

$=> r^3 = 64$

$=> r = \sqrt[3]{64} = 4$

Sum of first 10 terms $= \frac{6(4^{10}-1)}{4 - 1}$

$= \frac{6(1048576 - 1)}{3}$

$= 2 \times 1048575$

$= 2097150$

6 0

3 years ago

WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS CORRECTLY!!!!!

MAVERICK [17]

7 < x. Here, you can solve the inequality by multiplying 2 by each quantity in the parentheses to get -18 < 24 - 6x. You can subtract -24 from both sides to get -42 < -6x. Then, you can divide each side by -6 and flip the inequality, and this leaves you with x > 7. You would check this answer by choosing a number greater than but close to 7, using the original equation.

3 0

3 years ago