I cannot find the secound part?

Gabriel is making a mixture of compost and soil to use for a special plant. He wants his final mixture to be 2 parts compost to

ICE Princess25 [194]

2parts compost and 10pats potting soil
2/10=1/5 which is 1 to 5 ratio.
He wants to end up with 6 kilograms which is 1 kg compost and 5kg of plotting soil.so he can use 1 kg compost
hope it helps

4 0

3 years ago

The rate of change of the mass, A, of salt at time t is proportional to the square of the mass of salt present at time t. Initia

Brums [2.3K]

Answer:

(a) -dA/dt = kA², A₀ = 10

(b) A =10/(1+ kt)

(c) t > 60 h

Step-by-step explanation:

(a) Find the IVP

A differential equation with an initial condition y₀ = f(x₀) is called an initial value problem.

The rate of decrease of A is proportional to A², and A₀ = 10, so the IVP is

-dA/dt = kA², A₀ = 10

(b) Solve the IVP

$\begin{array}{rcl}-\dfrac{\text{d}A}{\text{d}t} & = & kA^{2}\\\\\dfrac{\text{d}A}{A^{2}} & =&-k\text{d}t\\\\-\dfrac{1}{A} & = & -kt + C\\\\\dfrac{1}{A} & = & kt + C\\\\\end{array}$

Apply the initial condition: A₀ = 10 (when t = 0)

$\dfrac{1}{10} = C\\\\\dfrac{1}{A} = kt + \dfrac{1}{10}\\\\\dfrac{10}{A} = 10kt + 1\\\\\mathbf{A} = \mathbf{\dfrac{10}{1+ kt}}$

(c) Find the time when A(t) < 1

(i) Find the value of k (A₁₀ = 4)

$\begin{array}{rcl}A& =&\dfrac{10}{1+ kt}\\\\4 & =& \dfrac{10}{1 + 10k}\\\\4 + 40 k & = & 10\\\\40k & = & 6\\k & = & 0.15\\\end{array}\\\\\mathbf{A} =\mathbf{ \dfrac{10}{0.15t + 1}}$

(ii) Find t when A < 1

$\begin{array}{rcl}A(t) & < & 1\\\dfrac{10}{0.15t + 1} & < & 1\\\\10 & < & 0.15t + 1\\9 & < & 0.15t\\t & > & 60\\\\\end{array}\\\mathbf{A < 1} \textbf{ when }\mathbf{ t >60}$

The figure below shows the graph of A vs t.

6 0

3 years ago

Find the volume of each cylinder. (use nr = 3.14)

alexandr1967 [171]

Answer:

V = 8591.04 ft³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Volume of a Cylinder: V = πr²h

V is volume
r is radius
h is height

Step-by-step explanation:

Step 1: Identify

Radius r = 12 ft

Height h = 19 ft

Step 2: Find Volume

Substitute in variables [Volume of Cylinder]: V = π(12 ft)²(19 ft)
Evaluate exponents: V = π(144 ft²)(19 ft)
Multiply: V = 2736π ft³
Substitute π: V = 2736(3.14) ft³
Multiply: V = 8591.04 ft³

3 0

3 years ago

Solve for x: 2x + 30 = (30/10) * 5(2x + 3) + 87

Svetllana [295]

Answer:
x = -9.375
im not sure if i interpreted the times symbol right

step-by-step explanation:
2x + 30 = (30/10) • 5(2x + 3) + 87
2x + 30 = 3 • 10x + 15 + 87
2x + 30 = 105 • 10x
-2x -2x
30 = 105 • 8x
-105 -105
-75 = 8x
/8 /8
-9.375 = x ?

4 0

3 years ago

Read 2 more answers

A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it

34kurt

Answer:

16 inches

Step-by-step explanation:

Note: it should say 56π inches instead of 56 inches otherwise no option is correct

Given

Diameter of the wheel = 16 in

Full circumference of the wheel

C =πd = 16π

Bike moves

56π

The wheel turns:

56π /16π = 3.5 times

We only consider her 0.5 of full turn of the wheel to identify the screw position

Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.

This is the full diameter length, which is 16 inches

So correct answer option is 16 inches

3 0

4 years ago