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Shkiper50 [21]
3 years ago
13

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:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. 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:

<u>Step 1: Define</u>

<em>Identify</em>

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

<u>Step 2: Differentiate</u>

  1. Logarithmic Differentiation [Derivative Rule - Chain Rule]:                       \displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}
  2. Trigonometric Differentiation [Derivative Rule - Chain Rule]:                   \displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}
  3. Basic Power Rule:                                                                                         \displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}
  4. 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?

Answer:

Area of each piece of paper is 1 \frac{1}{4} \ m^2.

Solution:

Length of the paper = 2 m

Width of the paper =  1\frac{1}{4} m =  \frac{5}{4} m

<em>Area of the rectangle = length × width</em>

                                    $=2\times \frac{5}{4}

                                    $= \frac{5}{2} \ m^2

<em>Diagonal of a rectangle divides it into two equal parts.</em>

Area of each piece = Area of the rectangle ÷ 2

                                $=\frac{ \frac{5}{2}}{2}

                                $=\frac{5}{4} \ m^2

                                $=1 \frac{1}{4} \ m^2

Area of each piece of paper is 1 \frac{1}{4} \ m^2.

7 0
3 years ago
Round each number to the nearest ten.
Bezzdna [24]
552.17 rounds to 550
48.35 rounds to 50
550-50=500
5 0
3 years ago
A truck can travel 1200 miles on 80 gallons of gasoline. how far can it travel on 240 gallons of gasoline ? Show your work
pogonyaev

Answer:

3600 miles on 240 gal

Step-by-step explanation:

80 gal can go 1200

160 gal can go 2400

240 gal can go 3600

7 0
2 years ago
Read 2 more answers
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