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Leto [7]
3 years ago
9

Type the statement or reason the fits in each box. Write your answer as a list. For example:

Mathematics
1 answer:
Oduvanchick [21]3 years ago
7 0

Answer:

df=eg is  Segment Congruence Postulate

de+ef=ef+fg is  Definition of midpoint

de+fg is given

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Explain when you should reverse the inequality symbol when solving an equality.
rosijanka [135]
You must “reverse” the inequality sign to make the statement true: When you multiply by a negative number, “reverse” the inequality sign. Whenever you multiply or divide both sides of an inequality by a negative number, the inequality sign must be reversed in order to keep a true statement.
3 0
3 years ago
AYUDA! Necesito ayuda con estas sencillas preguntas son muy fáciles y pago bien :)
blagie [28]

Answer:

I don't understand anyone that have a different language ._.

Step-by-step explanation:

cuz I can't the answer question ._.

8 0
3 years ago
A tank contains 90 kg of salt and 1000 L of water. A solution of a concentration 0.045 kg of salt per liter enters a tank at the
Andreyy89

Answer:

Step-by-step explanation:

concentration = amount of salt/solution

A) Initial concentration= 90/1000 = 0.09

Q = quantity of salt

Q(0) = 90 kg

Inflow rate = 8 l/min

Outflow rate = 8 l/min

Solution = 1000 L at any time t.

Salt inflow = 0.045 * 8 per minute

= 0.36 kg per minute

This is mixed and drains from the tank.

Outflow = \frac{Q(t)}{1000}

Thus rate of change of salt

Q'(t) = inflow - outflow = 0.36-\frac{Q(t)}{1000} \\=\frac{360-Q(t)}{1000}

Separate the variables and integrate

\frac{1000dQ}{360-q(t)} =dt\\-1000 ln |360-Q(t)| = t+C\\ln |360-Q(t)| = -0.001+C'\\360-Q(t) = Ae^{-0.001t} \\Q(t) = 360-Ae^{-0.001t}

Use the fact that Q(0) = 90

90 = 360-A

A = 270

So

Q(t) = 360-270e^{-0.001t}

B) Q(t) = 360-270e^-0.004  = 91.07784

C) When t approaches infinity, we get

Q(t) tends to 360

So concentration =360/1000 = 0.36

8 0
3 years ago
Determine the location and values of the absolute maximum and absolute minimum of given function: f(x)= ( -x+2)^4, Where 0<=x
jeyben [28]

Answer:

The absolute maximum and the absolute minimum are (0, 16) and (2, 0).

Step-by-step explanation:

First, we obtain the first and second derivatives of the function by chain rule and derivative for a power function, that is:

First derivative

f'(x) = -4\cdot (-x+2)^{3}

Second derivative

f''(x) = 12\cdot (-x + 2)^{2}

Then, we proceed to do the First and Second Derivative Tests:

First Derivative Test

-4\cdot (-x+2)^{3} = 0

-x + 2 = 0

x = 2

Second Derivative Test

f''(2) = 12\cdot (-2+2)^{2}

f''(2) = 0

The Second Derivative Test is unable to determine the nature of the critical values.

Then, we plot the function with the help of a graphing tool. The absolute maximum and the absolute minimum are (0, 16) and (2, 0).

3 0
3 years ago
Given the expression: 6x10 − 96x2
Jlenok [28]

The expression 6x¹⁰ - 96x² can be written by factoring out the greatest common factor is 6x²(x⁸ - 16) and for a part, B expression can be simplified by applying identity.

<h3>What is an expression?</h3>

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have an expression:

Part A)

= 6x¹⁰ - 96x²

= 6x²(x⁸ - 16)

Part B)

\rm =6x^2(\left(x^4\right)^2-4^2)

\rm =6x^2(\left(x^4+4\right)\left(x^4-4\right))

\rm =6x^2\left(x^2+2x+2\right)\left(x^2-2x+2\right)\left(x^2+2\right)\left(x^2-2\right)

Thus, the expression 6x¹⁰ - 96x² can be written by factoring out the greatest common factor is 6x²(x⁸ - 16) and for a part, the B expression can be simplified by applying identity.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

8 0
2 years ago
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