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never [62]
2 years ago
15

Marina correctly simplified the expression StartFraction negative 4 a Superscript negative 2 Baseline b Superscript 4 Baseline O

ver 8 a Superscript negative 6 Baseline b Superscript negative 3 Baseline EndFraction, assuming that a not-equals 0, b not-equals 0. Her simplified expression is below.
Negative one-half a Superscript 4 Baseline b Superscript empty box

What exponent should Marina use for b?
Mathematics
1 answer:
Temka [501]2 years ago
5 0

The exponent Marina should use for b is: D. 7.

<h3>How to Divide Exponents with the same Base?</h3>

When dividing, you subtract the exponents. I.e. a^m \div a^n = a^{m - n}.

Using the rule, we would also subtract the exponents of b in the simplified expression. Thus:

b^4 \div b^{-3}

Subtract the exponents

4 -(-3) = 4 + 3 = 7.

Therefore, the Maria should use the exponent b = 7.

Learn more about dividing exponents on:

brainly.com/question/2263967

#SPJ1

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Find the Total surface area
Veseljchak [2.6K]

Answer:

You may not recognize this...but the base forms a "Pythagorean"  right triangle  with legs  of  6 and 8  cm

The area of a right triangle is  (1/2)  ( product of leg lengths)

So...the area of the base   = (1/2) (6 * 8 ) = (1/2) 48  = 24 cm^2

And the volume of the prism is just the   base area  x  height =   24  x  7  =   192 cm^2

Step-by-step explanation:

7 0
3 years ago
How would you write in standard form 8 thousands+1200 hundreds
Alex_Xolod [135]
It is basically 8 thousand plus one thousand two hundred so your answer would be 9200
4 0
3 years ago
Two adjacent sides of a parallelogram are 6mm and 10mm respectively, and they form an angle measuring 60. Find the area of the p
Snowcat [4.5K]

Answer:

51.96 mm² approximately

Step-by-step explanation:

the first thing you should know is that the area of a rectangle is base*height sin of (

the included angle i.e

Arectangle= bh sin90° since all angles of a rectangle are equal then the included angle is 90°

<em>Arectangle= bh sin90° since sin90 is 1 we simply use the equation bh because multiplying bh by one is bh. bearing this in mind , the area of the parallelogram can be calculated as:</em>

Aparallelogram= bh sin of sin of the included angle

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866Aparallelogram=51.96 mm² approximately

4 0
2 years ago
6000 lb/day = how many t/wk
zavuch27 [327]

Answer:

21

Step-by-step explanation:

6000lbs x 7 days = 42000lbs

42000lbs / 2000lbs = 21 tons

3 0
3 years ago
Read 2 more answers
PLEASE HELP! due tmr! <br><br> 24<br> 26<br> 55<br> 99
SVETLANKA909090 [29]

Answer:

99°

Step-by-step explanation:

Internal Angles of triangles ALWAYS add up to 180°

So, 180° is our total.

We can form an equation. <em>x° + 55° + (4x - 5)° = 180</em>°

We can remove the brackets to form; <em>x° + 55° + 4x° - 5° = 180°</em>

We can get rid of the like terms by either <em>adding </em>or <em>subtracting </em>them.

<em>x° + 4x° + 55° - 5° = 180°</em>

<em>5x° + 50° = 180°</em>

We can then subtract 50° from both sides.

<em>5x° = 180° - 50°</em>

<em>5x° = 130°</em>

We then make x the subject and divide both sides by 5°

x = 26

x was our unknown so where there is x we put 26

The angle on the far left is simply 26°

The other angle, (4x-5)° becomes (4(26) - 5)°

If you simplify that, you get (104-5)°

Hence the last angle was 99°

If you want to ensure that your answer is correct, simply add the angles. They <u><em>should always</em></u> add up to 180° if you're working with a triangle

55° + 26° + 99° = 180°

7 0
3 years ago
Read 2 more answers
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