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Arada [10]
3 years ago
7

The equation is solved. Describe the property used in each solution.

Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

Step-by-step explanation:

It’s multiplication and then division. Just did it on edge2020.

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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Mamont248 [21]

Answer: x < -4 and -4 > x

x < -4 would be one of the two options.

This means that any number less than -4 is a solution.

This is shown by drawing an open dot on -4 and then

drawing an arrow to the left shows all answer less tan 4.

-4 > x would be our second option.

We can change it to say x < -4.

All I did was changed the order of numbers and switched the sign.

So x < -4 is the same as the first option.

8 0
3 years ago
The resistance, R, to electricity of a cylindrical-shaped wire is given by the equation R=pL/(pi)d^2 where p represents the resi
sasho [114]

Answer:

D.) The resistance approaches infinity.

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Please Answer THIS QUESTION ASAP ty!! First 2 answer right is BRAINLESS
pav-90 [236]

Hi there! :)

Answer:

\huge\boxed{A = 119.44 cm^{2} }

To find the area of the shaded region, we will need to find the areas of both the rectangle and the circle:

Rectangle: A = l × w

A = 11 × 12

A = 132 cm²

Circle: A = πr²  (Let π = 3.14)

A = π(2)²

A = 4π

A ≈12.56 cm²

Subtract the area of the circle from the area of the rectangle:

132 - 12.56 = 119.44 cm².

4 0
3 years ago
9x4 + 24x3 - 27x2 + 12x
serg [7]

Answer:

3x(3x³ + 8x² – 9x + 4)

Step-by-step explanation:

9x4 + 24x3 - 27x2 + 12x =

9x⁴ + 24x³ – 27x² + 12x =

3(3x⁴ + 24x³ – 27x² + 12x) =

3x(3x³ + 24x² – 27x + 12).

3x³ + 24x² – 27x + 12 cannot be factored

[rational numbers].

5 0
3 years ago
A trough has ends shaped like isosceles triangles, with width 5 m and height 7 m, and the trough is 12 m long. Water is being pu
Svet_ta [14]

Answer:

\dfrac{dh}{dt}=21 \text{m/min}

the rate of change of height when the water is 1 meter deep is 21 m/min

Step-by-step explanation:

First we need to find the volume of the trough given its dimensions and shape: (it has a prism shape so we can directly use that formula OR we can multiply the area of its triangular face with the length of the trough)

V = \dfrac{1}{2}(bh)\times L

here L is a constant since that won't change as the water is being filled in the trough, however 'b' and 'h' will be changing. The equation has two independent variables and we need to convert this equation so it is only dependent on 'h' (the height of the water).

As its an isosceles triangle we can find a relationship between b and h. the ratio between the b and h will be always be the same:

\dfrac{b}{h} = \dfrac{5}{7}

b=\dfrac{5}{7}h this can be substituted back in the volume equation

V = \dfrac{5}{14}h^2L

the rate of the water flowing in is:

\dfrac{dV}{dt} = 6

The question is asking for the rate of change of height (m/min) hence that can be denoted as: \frac{dh}{dt}

Using the chainrule:

\dfrac{dh}{dt}=\dfrac{dh}{dV}\times \dfrac{dV}{dt}

the only thing missing in this equation is dh/dV which can be easily obtained by differentiating the volume equation with respect to h

V = \dfrac{5}{14}h^2L

\dfrac{dV}{dh} = \dfrac{5}{7}hL

reciprocating

\dfrac{dh}{dV} = \dfrac{7}{5hL}

plugging everything in the chain rule equation:

\dfrac{dh}{dt}=\dfrac{dh}{dV}\times \dfrac{dV}{dt}

\dfrac{dh}{dt}=\dfrac{7}{5hL}\times 6

\dfrac{dh}{dt}=\dfrac{42}{5hL}

L = 12, and h = 1 (when the water is 1m deep)

\dfrac{dh}{dt}=\dfrac{42}{5(1)(12)}

\dfrac{dh}{dt}=21 \text{m/min}

the rate of change of height when the water is 1 meter deep is 21 m/min

6 0
3 years ago
Read 2 more answers
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