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3 years ago

Help MOI for the Third time PLS Solve for t. –9t − 19t + 9t − –18t − t = 14

Mathematics

1 answer:

Lorico [155]3 years ago

3 0

Answer:

–9t − 19t + 9t − –18t − t = 14

t = -7

Step-by-step explanation:

Hope this helps!!

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The value of x must be greater than B 12 0 O 1 А 15 O 3 O 7

IrinaK [193]

Answer:

x > 3

Step-by-step explanation:

Given 2 sides of a triangle then the third side x will be

difference of sides < x < sum of sides , that is

15 - 12 < x < 15 + 12, so

3 < x < 27

Thus x > 3

8 0

3 years ago

a farmer has 100m for fence avaibiable, with which he intends to build a pen for his sheep. he intends to create a rectangular p

Reika [66]

The perimeter of the area of the pen the farmer intends to build for his

ship includes the length of the permanent stone wall.

Response:

i) The length and width of the rectangular pen are; x, and $\dfrac{100 - x}{2}$ , therefore;

The area is; $A = \dfrac{1}{2} \cdot x \cdot (100 - x)$

$ii) \hspace{0.5 cm}\dfrac{dA}{dx} = 50 - x$

$\dfrac{d^2A}{dx^2} = -1$

iii) The value of x that makes the area as large as possible is x = 50

<h3>How is the function for the area and the maximum area obtained?</h3>

Given:

The length of fencing the farmer has = 100 m

Part of the area of the pen is a permanent stone wall.

Let x represent the length of the stone wall, we have;

2 × Width = 100 m - x

Therefore;

Width, w, of the rectangular pen, $w = \mathbf{\dfrac{100 - x}{2}}$

Area of a rectangle = Length × Width

Area of the rectangular pen, is therefore;

$A = x \times \dfrac{100 - x}{2} = \underline{\dfrac{1}{2} \cdot x \cdot (100 - x)}$

$ii) \hspace{0.5 cm} \mathbf{\dfrac{dA}{dx}}$ , and $\mathbf{\dfrac{d^2A}{dx^2} }$ are found as follows;

$\dfrac{dA}{dx} = \mathbf{\dfrac{d}{dx} \left( \dfrac{1}{2} \cdot x \cdot (100 - x) \right)} = \underline{50 - x}$

$\dfrac{d^2A}{dx^2} = \mathbf{ \dfrac{d}{dx} \left( 50 - x\right)} = \underline{-1}$

iii) The value of x that makes the area as large as possible is given as follows;

Given that the second derivative, $\dfrac{d^2A}{dx^2} =-1$ , is negative, we have;

At the maximum area, $\dfrac{dA}{dx} = \mathbf{0}$ , which gives;

$\dfrac{dA}{dx} = 50 - x = 0$

x = 50

The value of x that makes the area as large as possible is x = 50

Learn more about the maximum value of a function here:

brainly.com/question/19021959

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2 years ago

you begin with $25 in savings and $50 in checking, each week you deposit $5 into savings and $10 into checking. after how many w

mihalych1998 [28]

The answer to you question is 120$

7 0

3 years ago

Write each fraction as decimal: -1 1/4

skad [1K]

1/4=.25. Like 25% of 100.

6 0

3 years ago

True or False? A direction angle will always be a value between -90° and 90°.

Artist 52 [7]

Answer:

False

Step-by-step explanation:

The short reason the statement is false is, "it depends on what you mean by direction angle".

The long reason the statement is false is that "direction angle" sometimes refers to a navigation direction that is specified in terms of compass directions. For example, you might have N20°E, or S80°E. The angle measure in such directions is 0 to 90°. It does not take on a negative value when the direction is expressed in the standard form, an angle east or west from north or south.

An arbitrary vector is an expression that has a magnitude and direction. Such a quantity can have either or both values be positive or negative and of any magnitude. There is no reason for direction to be restricted to values in the range ±90°.

8 0

3 years ago