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2 years ago

Use the Factor Theorem to determine whether x−1 is a factor of 4x^3−6x^2+2x+1.

Mathematics

1 answer:

xxTIMURxx [149]2 years ago

4 0

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A tank in the shape of an inverted right circular cone has height 6 meters and radius 3 meters. It is filled with 2 meters of ho

ANTONII [103]

Answer:

Step-by-step explanation:

Given

Radius of cone $R=3\ m$

height of cone $H=6\ m$

Chocolate is filled up to a height of $h=2\ m$

Work done to lift a body to a height h when F force is applied is given by

$W=Fh$

An infinitesimally slice of chocolate $\Delta y$ at a height of y has a radius

$r=\dfrac{R}{H}\cdot h$

Volume of slice is $dV=\pi r^2y$

$mass =\rho \times dV$

This mass need to be raised to a height of 6-y which requires a work of

$dW=\rho (\pi r^2ydy)g(6-y)$

To empty the tank

$W=\int_{0}^{3}\rho \cdot \pi \cdot g\cdot r^2\cdot (6-y)dy$

at $h=y$

$r=\dfrac{R}{H}\cdot y$

$r=\dfrac{3}{6}y$

$r=\dfrac{y}{2}$

$W=\int_{0}^{3}\rho \cdot \pi \cdot g\cdot \dfrac{y^2}{4}\cdot (6-y)dy$

$W=10^3\times \pi \times \dfrac{1}{4}\times (2y^3-\dfrac{1}{4}y^4)_0^3$

$W=259.80\ kJ$

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3 years ago

Rewrite 5 − 6 using the additive inverse and display the new expression on a number line.

zysi [14]

Answer:

Its B: 5 + (-6)

Step-by-step explanation:

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3 years ago

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Which statement is NOT true about a rhombus?

padilas [110]

Answer:

C. It has four congruent angles.

Step-by-step explanation:

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3 years ago

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a submarine that is 245 feet below sea level decends 83 feet and then ascends 103 feet. which represents the location of the sub

KatRina [158]

So first you add 83 to 245 because the submarine descends lower into the water than it was before. Then you subtract 103 because the submarine ascends 103 feet. So you get 208. The submarine is 208 feet below the sea level

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4 years ago

Paula has her own business making cakes for

djverab [1.8K]

Answer:

Since Paula has her own business of making cakes for special occasions, and the total price (P) of one of Paula's cakes is represented by the equation P = 0.75S +10, where S is the number of people the cake serves, for determine what does the 0.75 represent in this situation and what does the 10 represent in this equation, the following mathematical reasoning must be carried out:

P is the price of the cake

S is the number of servings

Therefore, 0.75 is the value of each serving, which can be variable (the number of servings can vary)

In turn, 10 is the fixed cost of each cake.

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3 years ago