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AfilCa [17]
2 years ago
6

Determine an equivalent algebraic monomial expression using the laws of exponents. Show your work.

Mathematics
1 answer:
Serga [27]2 years ago
4 0

The equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5

<h3>How to determine an equivalent algebraic monomial expression?</h3>

The expression is given as:

(-8a^5b)(3ab^4)

Multiply -8 and 3

So, we have:

(-8a^5b)(3ab^4) = (-24a^5b)(ab^4)

Multiply a^5 and a (a^5 * a = a^6)

So, we have:

(-8a^5b)(3ab^4) = (-24a^6b)(b^4)

Multiply b and b^4

So, we have:

(-8a^5b)(3ab^4) = -24a^6b^5

Hence, the equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5

Read more about expressions at:

brainly.com/question/723406

#SPJ1

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Add and estimate 

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3 years ago
Can you answer this one for my plz I need before Monday ty
ira [324]
Since you need the vertex, and knowing the vertex will tell you the axis of symmetry, it is convenient to put the equation in vertex form.
.. -x^2 -4x +1
.. = -(x^2 +4x) +1
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.. = -(x +2)^2 +5

The vertex is (-2, 5).
The axis of symmetry is x = -2.

7 0
3 years ago
ATCs are required to undergo periodic random drug testing.
aleksandr82 [10.1K]

Answer:

The responsess to the given question can be defined as follows:

Step-by-step explanation:

P(medication\ used) = 0.007 \\\\P( drug \not\ used ) = 1 - 0.007 = 0.993\\\\P(test\ positive  | medication \ used) = 0.96 \\\\ P(test \ negative | medication \ used) = 1 - 0.96 = 0.04\\\\

P(Point | Non-used\ medication )=0.93\\\\ P(Point |No\ medication ) = 1 - 0.93 = 0.07

As per the given info we draw the tree diagram which is defined in the attachment file.

P ( test \ is\  positive ) = P( medication \ used ) \times P( Test \ positive | medication \ used ) + P( medication not \ used ) \times  P( Test\ positive | medication \ not \ used )

                  = ( 0.007 \times 0.96 ) + ( 0.993\times 0.07 )\\\\= 0.0762

P( medication \ used | test\ positive )= \frac{\textup{P( medication used ) *P( Test positive given medication  used )}}{\textup{P( medication used )}}  

= \frac{( 0.007\times 0.96 )}{0.0762}\\\\= 0.0882

8 0
3 years ago
Find the equation of the straight line passing through the point (0,1) which is perpendicular to the line y= -2x + 2
mylen [45]

Answer:

y = 1/2x + 1

In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.

-2 ⇒ 1/2

Next, we need to substitute the information given into the point-slope formula.

The point-slope formula is:

y - y₁ = m(x - x₁)

y - 1 = 1/2(x - 0)

y - 1 = 1/2x

y = 1/2x + 1

Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.

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3 years ago
Based only on the information given in the diagram, which congruence theorems could be given as reasons why ABC ~ UVW? Check all
xz_007 [3.2K]

The right answers are LA and ASA

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3 years ago
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