A pair of slacks that sold for $17.75 is on sale for $14.91. What is the discount rate?

9) Brennen is rock climbing and is 15 feet above ground level. He descends 4 feet,

DanielleElmas [232]

Answer:

15 feet above ground.

Step-by-step explanation:

15 feet - 4 feet = 11 feet

11 feet + 5 feet = 16 feet

16 feet - 1 foot = 15 feet

6 0

3 years ago

Select all the parallelograms that have the same area.

Sedaia [141]

1 and 3 I believe sorry if it’s incorrect

3 0

3 years ago

kelly is using a bucket to fill up a barrel with water from a well. The barrel holds 25.5 liters.the bucket holds 800 millileter

SVEN [57.7K]

To determine how much of the barrel is left to fill, you must subtract the amount of water already in it from the total mass of the bucket.

25.5 - 5.2 = 20.3 Litres

In order to the fill the entire barrel, Kelly must collect 20.3 Litres of water. You must then covert the measurement from litres to millilitres so that the bucket and barrel are measured in the same units.

20.3L = 20300mL

You must then divide the amount of space left by the mass of the bucket. This will determine the least number of buckets needed to fill the barrel.

20300 <span>÷ 800 = 25.375

That means the you would have to do a minimum on 25.375 buckets to fill the barrel, or 26.

Hope this helps :) </span>

6 0

4 years ago

Kryptonite is a material found on the planet Krypton and has various effects, most importantly on Superman. The most common type

Rashid [163]

Answer:

The maximum amount of red kryptonite present is 33.27 g after 4.93 hours.

Step-by-step explanation:

dy/dt = y(1/t - k)

separating the variables, we have

dy/y = (1/t - k)dt

dy/y = dt/t - kdt

integrating both sides, we have

∫dy/y = ∫dt/t - ∫kdt

㏑y = ㏑t - kt + C

㏑y - ㏑t = -kt + C

㏑(y/t) = -kt + C

taking exponents of both sides, we have

$\frac{y}{t} = e^{-kt + C} \\\frac{y}{t} = e^{-kt}e^{C} \\\frac{y}{t} = Ae^{-kt} (A = e^{C})\\y = Ate^{-kt}$

when t = 1 hour, y = 15 grams. So,

$y = Ate^{-kt}\\15 = A(1)e^{-kX1}\\15 = Ae^{-k}$ (1)

when t = 3 hours, y = 30 grams. So,

$y = Ate^{-kt}\\30 = A(3)e^{-kX3}\\30 = 3Ae^{-3k}$ (2)

dividing (2) by (1), we have

$\frac{30}{15} = \frac{3Ae^{-3k}}{Ae^{-k}} \\2 = 3e^{-2k}\\\frac{2}{3} = e^{-2k}$

taking natural logarithm of both sides, we have

-2k = ㏑(2/3)

-2k = -0.4055

k = -0.4055/-2

k = 0.203

From (1)

$A = 15e^{k} \\A = 15e^{0.203} \\A = 15 X 1.225\\A = 18.36$

Substituting A and k into y, we have

$y = 18.36te^{-0.203t}$

The maximum value of y is obtained when dy/dt = 0

dy/dt = y(1/t - k) = 0

y(1/t - k) = 0

Since y ≠ 0, (1/t - k) = 0.

So, 1/t = k

t = 1/k

So, the maximum value of y is obtained when t = 1/k = 1/0.203 = 4.93 hours

$y = 18.36(1/0.203)e^{-0.203t}\\y = \frac{18.36}{0.203}e^{-0.203X1/0.203}\\y = 90.44e^{-1}\\y = 90.44 X 0.3679\\y = 33.27 g$

<u>So the maximum amount of red kryptonite present is 33.27 g after 4.93 hours.</u>

3 0

3 years ago

Which number is a solution of the inequality 8 - 1/4 b > 27

Brrunno [24]

The inequality is 8-1/4x>27. The solution of the inequality is b<-76.

Given that,

The inequality is 8-1/4x>27

We must determine how to address the inequity.

Take,

8-1/4x>27

Multiply the inequality's two sides by its lowest common denominator,

4×8-4×1/4b>27×4

Reduce the expression to the lowers term,

4×8-b>4×27

Calculate the product or quotient,

32-b>4×27

Calculate the product or quotient,

32-b>108

Rearrange unknown terms to the left side of the equation,

-b>108-32

Calculate the sum or difference,

-b>76

Divide the inequality's two sides by the variable's coefficient,

b<-76

Therefore, the solution of the inequality is b<-76.

To learn more about inequality visit: brainly.com/question/28823603

#SPJ1

6 0

1 year ago