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OLga [1]
3 years ago
7

Simplify the expression. Write the answer using scientific notation. (5 x 102)−2

Mathematics
2 answers:
marissa [1.9K]3 years ago
7 0
102 multiply 5 is equally to 610 so that's gonna be 6.10 I think
svetlana [45]3 years ago
7 0

Answer:

\frac{1}{510^{2} }

Step-by-step explanation:

I will assume that you want to write this number in scientific notation

(5 x 102)⁻²

So, first, we are going to solve the parenthesis and we get 5 x 102 = 510.

(5 x 102)⁻² = (510)⁻²

However, we know that when we have negative exponents we can make them positive by let them become part of the denominator, therefore we would have:

(510)⁻²=\frac{1}{510^{2} }

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Solve the system using submsitution<br> x+y=-10<br> y=5x+2
Nitella [24]

Answer:

x+y= -10

y=5x+2

solution

x+(5x+2)= -10

x+5x+2= -10

6x+2= -10

6x= -10-2

6x= -12

6x/6= -12/6

x= -2

while y=5x+2

y= 5(-2)+2

y= -10+2

y= -8

x= -2, y= -8

4 0
3 years ago
when asked to factor the x^2 - 100, a student gives the answer (x -10) (x-10). what is wrong with this answer?
aalyn [17]

x^2-100\\\\=x^2-10^2\\\\=(x+10)(x-10)\\\\\text{The difference of two  squares formula is}~ a^2 -b^2 =(a+b)(a-b),\\\\\text{So, the student did not apply it properly}

3 0
2 years ago
The oblique prism below has an isosceles right triangle base. An oblique right triangular prism is shown. The triangular bases h
balandron [24]

The volume of the geometry that is oblique prism is \rm 0.5x^3 + x^2. Then the correct option is A.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

The oblique prism below has an isosceles right triangle base.

The triangular bases have 2 sides with a length of x.

The distance from the 2 triangular bases is (x + 3).

The vertical height of the prism is (x + 2).

The volume of the oblique prism will be

\rm Volume = Area\ of \ triangle * Vertical\ Height \\\\Volume = \dfrac{1}{2} (Base)^2 * Vertical \ Hetght\\\\Volume = \dfrac{1}{2} x^2 (x + 2)\\\\Volume =  \dfrac{1}{2} x^3 + x^{2} \\\\

The volume of the oblique prism is \rm 0.5x^3 + x^2.

Thus, option A is correct.

More about the geometry link is given below.

brainly.com/question/7558603

7 0
3 years ago
ΔABC and ΔXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of
Norma-Jean [14]

Answer:

b=9

x=5.5

Step-by-step explanation:

find the common ration

AB is 6, and XY is 3 (they are the corresponding sides)

ratio is 2 to 1 (6/3=2/1)

AC corresponds with YZ

XY is 4.5 so b is 4.5*2=9

ZY corresponds with CB

CB is 11, since XYZ is the smaller divide by 2 instead of multiplying by 2

4 0
3 years ago
5. When y varies directly with x, the value of y = -2 when x = 4. What is the value of y when x = 8?
zmey [24]

Answer:

-4

Step-by-step explanation:

if y = -2 then x = 4

what is y when x = 8

\frac{ - 2}{x}  =  \frac{4}{8}  \\  - 16 = 4x \\ x =  - 4

7 0
3 years ago
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