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2 years ago

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Mike watches a caterpillar climbing on a tree trunk he writes the expression -5/8-(-1/8-1/2) to show the change in feet of the c

aterpillar height on the tree trunk. What is the overall change in the caterpillars height on the tree trunk in feet?

1 answer:

guapka [62]2 years ago

7 0

Answer:

-5 / 8 - -4 / 8 equals the approximate estimate notation of 58.7

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Find all the zeros of the equation 12x^2-64=-x^4

Natalija [7]

Answer: all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

Step-by-step explanation:

Since we have given that

$12x^2-64=-x^4\\\\x^4+12x^2-64=0$

We need to find the zeroes of the above equation.

So, we will use "Split the middle terms" :

$x^4+12x^2-64=0\\\\x^4+16x^2-4x^2-64=0\\\\x^2(x^2-16)-4(x^2-16)=0\\\\(x^2-4)(x^2-16)=0\\\\x^2-4=0\ or\ x^2-16=0\\\\\text{ "Using }a^2-b^2=(a+b)(a-b)"\\\\x^2-4=x^2-2^2=(x-2)(x+2)\\\\x^2-16=x^2-4^2=(x+4)(x-4)$

So, all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

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2 years ago

Amy and two of her friends eat lunch at a restaurant. Their bill, including tax, comes to $27.63. They decide to split the bill

Art [367]

Answer:

Step-by-step explanation:

$27.63 / 2 = $13.82

$13.82 * 0.20 = $2.76

$13.82 + $2.76 = $16.58

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2 years ago

A cube-shaped water tank having 6 ft side lengths is being filled with water. The bottom is solid metal but the sides of the tan

Mekhanik [1.2K]

Answer:

0.033 ft

Step-by-step explanation:

Let g = 32.2 ft/s2 and h be the maximum height that water can be filled before the sides shatter.

Pressure is distributed from 0 to maximum at the bottom like the following equation:

$P = \rho gh$

So the force generated by water pressure on the side of the tank is

$F = PA = \rho ghs/2$

where s = 6ft is the side length of the tank. This force cannot be larger than 200lb

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2 years ago

Which equation represents the graphed function?

Alika [10]

Answer:

y = -1/3x +3

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

= (2-3)/(3-0)

-1/3

Then we know the y intercept( where it crosses the y axis)

It crosses at y=3

The slope intercept form is

y= mx+b where m is the slope and b is the y intercept

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2 years ago

Read 2 more answers

Kate writes an algebraic expression using each of the variables x and y only once. they first expression she writes uses x and y

kotykmax [81]

Answer:

B: Using x and y factor results in an expression of greater value than using x and y as terms.

Step-by-step explanation:

For her first expression, x and y are factors;

xy

For her second expression, x and y are written as terms;

x + y

For x and y are both negative integers, then;

-x * -y = xy ............... 1

-x + (-y) = - x - y

= - (x + y) .............. 2

Therefore, the value of x and y factors is greater than that when x and y are as terms. Thus the correct option is B.

3 0

2 years ago