Who is my favorite person ever?

insens350 [35]

That equation just equals ln(e^(-4/3)) which can be simplified to -4/3 because ln and e cancel each other out only leaving the power

4 0

3 years ago

Peter spent half the money on his gift card and coffee and he loaded another $10 on the gift card how much was on the gift card

cestrela7 [59]

Answer:

$80 was on the gift card to begin with

Step-by-step explanation:

Let the initial money be x

Peter spent (1/2)*x

Peter added 10

Before adding more money on the gift card Peter had x -(1/2)x left on the gift card which is (1/2)x

After loading more money Peter had (1/2)x + 10

(1/2)x = 40 (money spent by Peter)

x/2 = 40

x = 80

6 0

3 years ago

Joel has a goal to practice is clarinet for 4 1/2 hours per week the list below shows the number of hours Chihuahuas practice so

Natasha_Volkova [10]

Complete question:

Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour How many more hours does he need to practice this week to meet his goal

Answer: 3/4 hours

Step-by-step explanation:

Target hours = 4 1/2 hours = 9/2 hours

Number of hours so far :

(1 1/2 + 1 1/4 + 1) = (3/2 + 5/4 + 1) hours

Total so far :

L. C. M of denominator = 4

(6 + 5 + 4) /4 = 15/4

Number of hours left to meet his target equals :

Target hours - total so far

( 9/2 - 15/4)

L. C. M of denominator = 4

(18 - 15) / 4 = 3/4 hours

.

7 0

3 years ago

Y = 2/3 x -3 y = -3/2 x +2 what statement about the lines are true

Hoochie [10]

Answer:

The product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the lines

y = 2/3 x -3 --- Line 1

y = -3/2x +2 --- Line 2

The slope of line 1

y = 2/3 x -3 --- Line 1

By comparing with the slope-intercept form of the line equation

The slope of line 1 is: m₁ = 2/3

The slope of line 2

y = -3/2x +2 --- Line 2

By comparing with the slope-intercept y = mx+b form of the line equation

The slope of line 2 is: m₂ = -3/2

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = (2/3)(-3/2 )

m₁ × m₂ = -1

Thus, the product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

7 0

2 years ago

2: A bag contains 5 black counters, 4 blue counters, and

drek231 [11]

Answer:

The probability that the counter was blue is $\mathbf{\frac{2}{5}}$

Step-by-step explanation:

Number of black Counters = 5

Number of blue Counters = 4

Number of white Counters = 1

We need to write down the probability that the counter was blue.

First find Total Counters

Total Counters = Number of black Counters + Number of blue Counters + Number of white Counters

Total Counters = 5+4+1

Total Counters = 10

Now, we need to find probability that the counter taken was blue

The formula used is:

$Probability= \frac{Number\:of\:favourable\:outcomes}{Total\:outcomes}$

There are 4 blue counters in the back, so Favourable outcomes = 4

$Probability= \frac{Number\:of\:favourable\:outcomes}{Total\:outcomes}\\Probability= \frac{4}{10}\\Probability= \frac{2}{5}$

The probability that the counter was blue is $\mathbf{\frac{2}{5}}$

5 0

2 years ago