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3 years ago

The constant term in the expression 3x2 + 5x − 4 is ? .

Mathematics

1 answer:

frutty [35]3 years ago

5 0

Answer:

$\huge \boxed{3 {x}^{2} + 5x - 4}$

In this equation the constant is -4.

<h2>-4 is the right answer.</h2>

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What is the slope of the line tangent to the curve y+2 = (x^2/2) - 2siny at the point (2,0)?

Aleksandr-060686 [28]

Implicit differentiation
take the deritivive with respect to x

first
y+2=(1/2)(x^2)-2sin(y)
take deritivitive
dy/dx+0=1/2(2x)-2(cosy)dy/dx
dy/dx=x-2cosy(dy/dx)
add 2cosy(dy/dx) to both sides
dy/dx+2cosy(dy/dx) =x
undistribute dy/dx
dy/dx(1+2cos(y))=x
divide both sides by 1+2cos(y)
$\frac{dy}{dx}= \frac{x}{1+2cos(y)}$
at (2,0)
x=2
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$\frac{dy}{dx}= \frac{2}{1+2cos(0)}$
$\frac{dy}{dx}= \frac{2}{1+2(1)}$
$\frac{dy}{dx}= \frac{2}{1+2}$
$\frac{dy}{dx}= \frac{2}{3}$
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3 years ago

What is the name of the type of data that a scatter plot is used to analyze

DanielleElmas [232]

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4 years ago

A manufacturing firm just received a shipment of 20 assembly parts, of slightly varied sizes, from a vendor. The manager knows t

Marat540 [252]

Answer:

a. 0.75

b. 0.5526

c. 0.1974

Step-by-step explanation:

Probability is typically expressed as a fraction where the numerator is the number of desired outcomes and the denominator is the total number of outcomes. In this case the suitable parts is the desired outcome and the total shipment is the total parts:

$\frac{suitable}{total}=\frac{15}{20}=\frac{3}{4}=0.75$

The probability the both the first and second part are suitable:

$\frac{15}{20}*\frac{14}{19}=\frac{210}{380}=0.5526$

Since the probability of getting a suitable part the first time is 15/20, then there is one less suitable part and one less part overall to choose on the second time, or 14/19.

Lastly, the probability of choosing a suitable part the first time is again 15/20, but the second part not being suitable would be 5/19:

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3 years ago

Molly is a salaried employee. Her holiday

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Answer: £3885.71

Step-by-step explanation:

Let x be salary

Holding pay = 17.5% of x = 680.00

X = 680/0.175 = 3885.71

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3 years ago

A cube with each face a different colour will fit exactly into a box in which it is packaged. In how many ways can the cube be p

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3 years ago