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enot [183]
3 years ago
15

45 Points! Exponets! Please show ALL Work

Mathematics
1 answer:
anygoal [31]3 years ago
8 0
On the first one you do 2x 2x2 • 2x2x2x2x2 = 60
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Solve the following equation. –4y + 8 = 4(2y – 2) – 2(–16 + 8y) A. y = –4 B. y = 4 C. y = –2 D. y = –6 I need Help I am utterly
leonid [27]
The answer is B. (y = 4)


Further explanation:

–4y + 8 = 4(2y – 2) – 2(–16 + 8y)
= -4y + 8 = 4 * (2y -2) - 2 * (-16 + 8y)
= -4y + 8 = ( 4 * 2y - 4 *2 ) - (2 * -16 - 2 * 8y )
= -4y + 8 = 8y - 8 - ( -32 - 16y)
= -4y + 8 = 8y - 8 + 32 + 16y
Move y’s to the left & numbers to the right
= -4y - 8y - 16y = -8 + 32 - 8
= 12y - 16y = -16 + 32
Y = 16 / 28
Y = 4 = (B choice)
3 0
3 years ago
Which congruency theorem can be used to prove<br> that ABD =DCA?
Dimas [21]

Answer:

The answer is "SAS".

Step-by-step explanation:

In this question we assume two angle is given that are:

\ Two \ triangles \angle ABD \ and \angleDCA \\\\\ In \ this \ on \ angle \ is \ common \ that \ is, \\\\  AD=AD \\\\AB= CD \\\\\angle A \ is \ equal \ =  \angle A \ (\ which \ is \ given)\\\\

That's why SAS rule is correct.

6 0
3 years ago
To select a sample of five children from a class of 30, a researcher puts each child’s name on a slip of paper, then shuffles th
Ainat [17]

Answer:

We conclude that  a researcher  used simple random sample.

Step-by-step explanation:

We know that select a sample of five children from a class of 30, a researcher puts each child’s name on a slip of paper, then shuffles the papers in a hat and randomly picks five names.  

We conclude that  a researcher  used simple random sample.

Because every children  has an equal chance of being included in the sample.

7 0
3 years ago
How does graphing linear inequalities differ from graphing linear equations?​
Ivan

Explanation:

When the inequality symbol is replaced by an equal sign, the resulting linear equation is the boundary of the solution space of the inequality. Whether that boundary is included in the solution region or not depends on the inequality symbol.

The boundary line is included if the symbol includes the "or equal to" condition (≤ or ≥). An included boundary line is graphed as a solid line.

When the inequality symbol does not include the "or equal to" condition (< or >), the boundary line is not included in the solution space, and it is graphed as a dashed line.

Once the boundary line is graphed, the half-plane that makes up the solution space is shaded. The shaded half-plane will be to the right or above the boundary line if the inequality can be structured to be of one of these forms:

  • x > ...   or   x ≥ ...   ⇒ shading is to the right of the boundary
  • y > ...   or   y ≥ ...   ⇒ shading is above the boundary

Otherwise, the shaded solution space will be below or to the left of the boundary line.

_____

Just as a system of linear equations may have no solution, so that may be the case for inequalities. If the boundary lines are parallel and the solution spaces do not overlap, then there is no solution.

_____

The attached graph shows an example of graphed inequalities. The solutions for this system are in the doubly-shaded area to the left of the point where the lines intersect. We have purposely shown both kinds of inequalities (one "or equal to" and one not) with shading both above and below the boundary lines.

6 0
3 years ago
a parking garage has 6 levels. Each level has 15 row. Each row has the same number of parking spaces. there are 2,250 parking sp
Mandarinka [93]
To start with, we know there’s a definite amount of parking spaces in all(2,250) and we also know each level(6 in all) had 15 rows of parking spaces.

Equation

A = Parking spots per row


A = 2,250 Divided by(6 levels times 15 rows)

A= 2,250 Divided by 90


A = 25

The correct answer is 25 parking spots per row

To check this answer we can do

25 spots per row, Times 15 rows per level, Times the total amount of levels (6)

= the total amount of parking spots

25*15*6= 2,250

True


This confirms this answer as correct. Hope this helps.
6 0
2 years ago
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