She needs to add one half of a teaspoon of salt, 1 and one fourth teaspoons of Oregano, three fourths of a teaspoon of Basil and half as much pepper as salt. What is the total number of teaspoons of spices in the dish? Express the answer as a decimal.

Total number of teaspoons is 2.75

Step-by-step explanation:

Here, we want to know the total number of teaspoons of spices in the dish

we can calculate this by adding together the individual number of spices

That will be ;

1/2 + 1 1/4 + 3/4 + 1/2(1/2)

1/2(1/2) represents half as much pepper as salt

1/2 = 0.5

1 1/4 = 1.25

3/4 = 0.75

1/2(1/2) = 1/4 = 0.25

The total number of tea spoons will be;

0.5 + 1.25 + 0.75 + 0.25 = 2.75

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

yess

step-by-step explanation:

idk whyy this is happening, i cant even read my notification bc i keep getting errors

~coco