MATHEMATICS HIGH SCHOOL

To best estimate the quotient in scientific notation. what number should replace m?6.33x 10

1.79x 103

3 x 10"

Answers

Answer 1
Answer:

Answer:

m = 4

Step-by-step explanation:

The complete question is:

Given:

6.33 x 10⁹ / 1.79 x 10⁵ ≈ 3 x 10^(m)

To find:

To best estimate the quotient in scientific notation. what number should replace m?

Solution:

The equation is:

6.33 x 10⁹ / 1.79 x 10⁵ = 3 x 10^(m)

Let x = 9 and y = 5 then the above equation becomes:

6.33 x 10^(x) / 1.79 x 10^(y) = 3 x 10^(m)

Since we know that the exponent property is:

quotient quotient (z^(x) )/(z^(y) ) = quotient z^(x-y)

Now converting the given equation in the form above we get:

6.33 / 1.79 x 10^(x-y)  

6.33 / 1.79 x 10^(9-5)

Now the quotient is 6.33/1.79 ≈  3.536313

quotient x 10^(9-5)

3.536313 x 10^(9-5)

Since 9-5 = 4 So

3.536313 x 10^(4)

3.536 x 10^(4)

Hence

6.33 x 10⁹ / 1.79 x 10⁵ ≈ 3.5 x 10^(4)

Hence m = 4

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1/3,0,1,-2 what are the next 3 terms of the sequence

Answers

Hello,

One solution may be
a_(n+1)=a_(n)*(-3) +1

a_(0)=(1)/(3)

a_(1)=(1)/(3)*(-3) +1=0
a_(2)=0*(-3) +1=1
a_(3)=1*(-3) +1=-2

a_(4)=(-2)*(-3) +1=7
a_(5)=7*(-3) +1=-20
a_(6)=(-20)*(-3) +1=61
...
REM:
a_(n)=((-3)^(n))/(12)+(1)/(4)

What is the degree of each monomial? -9
A. -8
B. 0
C. -10
D. 1

Answers

ok so the degree is the highest exponent of the placeholder

-9=-9 times 1
since there is none, degree is 0
or
x^0=1 so
-9x^0=-9
0 degree

answer is B

NAFTA created a free market and common currency in Europe. True or false? User: Which statement below is an accurate summary of a multinational corporation?a. A corporation that has branches and business partners all over the world
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Answers

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Which three-dimensional shapes do not have identical cross sections when cut by planes that are parallel to the base? cone
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cylinder
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Answers

Answer:

Rectangular pyramid

Step-by-step explanation:

The three dimensional shapes can be cut through planes perpendicular or parallel to the base.

Here, the shapes are being cut parallel to the base.

Since, cone cylinder and triangular prism are identical when cut by planes that are parallel to the base.

Rectangular pyramid do not have identical cross sections.  

Option (b) is correct.
your answer is rectangular pyramid

If f(x) = 3x2 – 4 and g(x) = 2x – 6, what is g(f(2))?
O-16
o -2
O 8
0 10

Answers

Answer:

The last option, 10 is correct

Step-by-step explanation:

f(x) = 3x^2 - 4

f(2) = 3(2)^2 - 4

f(2) = 12 - 4

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This means that g(f(2)) is equal to 10

Answer:

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Step-by-step explanation:

What is the surface area of the prism? A. 138 yd2 B. 192 yd2 C. 264 yd2 D. 272 yd2

Answers

In order to find the area of the triangular prism, we need to find the area of each of the figures that make it up. It might help if you draw the triangles and rectangles that make up the prism individually.

Let's start with the two triangles at either end of the prism.

A = 1/2bh   Area of a triangle
A = 1/2(6)(8)   Substitute
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There are three more rectangles that we need to find the area for: the base of the prism, the vertical edge of the prism, and the slanted edge of the prism. 

A = lw   Area of a rectangle
A = (9)(10)   Area of the slanted edge
A = 90 yd²   Multiply

A = (9)(6)   Area of the base
A = 54 yd²   Multiply

A = (8)(9)   Area of the vertical edge
A = 72 yd²

We now have the area for both triangles and each rectangle. Now, all we have to do is add these together to get the total surface area!

72 + 54 + 90 + 48 = 264 yd²
Surface Area = 264 yd²

The answer is 264 yd², or answer choice C.
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