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3 years ago

Write an inequality for the situaions below and solve:

Mathematics

1 answer:

musickatia [10]3 years ago

5 0

Answer

Find out the how many boxes of paper can the forklift move at one time .

To proof

Let us assume that the number of boxes be x.

As given

A forklift can carry up to 2500 pounds.

You want to move boxes of paper which each weigh 140 pounds.

The paper boxes are supported on one pallet which weighs 50 pounds.

Than the equation is become in the form

140x +50 ≥ 2500

140x ≥ 2500 - 50

140x ≥ 2450

$x \geq \frac{2450}{140}$

x ≥ 17.5

Therefore the 18 boxes of paper can the forklift move at one time .

Hence proved

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A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair. This situation can be de

frez [133]

Answer:

b = 40

Step-by-step explanation:

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair.

This situation can be described by an equation of the form y=mx+b , where

x = the time in hours

y = the cost in dollars.

What is the value of b in this equation?

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair

Writing the above in an equation =

y = $70 × x + $40

y = 70x + 40

Therefore, the value of b in the expression = 40

3 0

3 years ago

Find the derivative of ln(cosx²).

RoseWind [281]

Answer:

$\displaystyle \frac{dy}{dx} = -2x \tan (x^2)$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = \ln (\cos x^2)$

Step 2: Differentiate

Logarithmic Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}$
Trigonometric Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}$
Basic Power Rule: $\displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}$
Rewrite [Trigonometric Identities]: $\displaystyle y' = -2x \tan (x^2)$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

8 0

3 years ago

Jordan is cutting a 2 meter by 1 1/4 meter into two pieces by its diagonal line

Airida [17]

Question:

Jordan is cutting a 2 meter by $1\frac{1}{4}$ meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?