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Nitella [24]
2 years ago
7

Simplify: 2⁶X5⁴X3¹²/2²x5²x3⁴​

Mathematics
2 answers:
Zarrin [17]2 years ago
8 0

Answer:

Step-by-step explanation:

\frac{2^{6}*5^{4}*3^{12}}{2^{2}*5^{2}*3^{4}}=2^{6-2}*5^{4-2}*3^{12-4}\\\\\\=2^{4}*5^{2}*3^{8}

\frac{a^{m}}{a^{n}}=a^{m-n}, m>n

In exponent division, if both numbers have same base, subtract the exponents.

Sholpan [36]2 years ago
4 0

Step-by-step explanation:

2⁶X5⁴X3¹²/2²x5²x3⁴

2⁴ × 5²×3⁸

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Find the area of the trapezoid below in square centimeters (cm). The area of the trapezoid is
BARSIC [14]

Answer:

122.5

Step-by-step explanation:

Use the area formula for a trapezoid (attached below as an image):

A = area in sq cm

a = top base

b = bottom base

h = height

Correspond the correct values with the variables:

a = 14

b = 21

h = 7

A = 1/2 * (14 + 21) * 7

A = 1/2*(35)*7

A = 17.5 * 7

A = 122.5 sq cm

Hope this helps (●'◡'●)

6 0
2 years ago
Which of the following is the solution to the system of equations?
drek231 [11]

Answer:

B (3/4,5/4)

Step-by-step explanation:

y = 2- x

\frac{5}{4}  = 2 -  \frac{3}{4}

y = 3x - 1

\frac{5}{4}  = 3 \times  \frac{3}{4}  - 1

\frac{5}{4}  =  \frac{9}{4}  -  \frac{4}{4}

Hope this helps ^-^

6 0
3 years ago
What's the answer ????
Dmitrij [34]
y=\frac{1}{2}x+2

Just plug x in and you'll get each y value.

So the answer is A.
5 0
3 years ago
Can some help please?!?!
Alexandra [31]

Answer:

<em>Choice D.</em>

Step-by-step explanation:

Vertical line test for functions:

If a vertical line drawn anywhere on the graph intersects the graph in more than one point, it is not a function.

If you draw a vertical line passing through any point between x = -4 and x = 4, the line will intersect two points on the circle. The relation fails the vertical line test. That shows that this relation is not a function.

6 0
3 years ago
A certain insect can beat its wings 120 times per second write an equation in slope intercept from that shows the relationship b
dalvyx [7]

Answer:

The relationship between flying time in seconds in the number of times the insect beats its wings:

  • y = 120x

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

In our case,

Let 'x' be the flying time in seconds

Ley 'y' be the number of times the insect beats its wings

Given that a certain insect can beat its wings 120 times per second.

It indicates that the rate of change or slope = m = 120

In our case the y-intercept b = 0, as there is no initial condition mentioned here.

Now, substituting m = 120 and b = 0 in the slope-intercept form

y = mx+b

y = 120x+0

y = 120x

Therefore, the relationship between flying time in seconds in the number of times the insect beats its wings:

  • y = 120x
6 0
3 years ago
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