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STALIN [3.7K]
2 years ago
11

A⁵/a³×a⁸ is equal to ​

Mathematics
1 answer:
iris [78.8K]2 years ago
7 0

Answer:

a^10

Step-by-step explanation:

simplify the expression

a^2 x a^8

then calculate the product

a^2 x a^8

= a^10

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Name the postulate, Definition or Property below
klasskru [66]
Ans_ It is Sandwich Theorem..
3 0
3 years ago
For the equation y = 3.5x and y= 25x + 40.50, x represent time in hours and y represents cost in dollars. Which equation is not
dem82 [27]

We are given equations y =3.5x and y=25x +40.50.

Where x represent time in hours and y represents cost in dollars.

We need to determine that which equation is not the equation of a proportional relationship?

In first equation we have slope 3.5 and y-intercept 0.

In second equation, we have slope 25 and y-intercept 40.50.

<em>In order to have a a proportional relationship, there should be y-intercept =0.</em>

<h3>Therefore, y= 25x + 40.50 is not the equation of a proportional relationship.</h3>
5 0
3 years ago
Which of the following equations matches the graph above?
Brilliant_brown [7]

Option C:

The equation which matches the graph above is y = 4x - 4.

Solution:

Take any two points on the graph of the line.

Let the points are (0, -4) and (1, 0).

Here, x_1=0, y_1=-4, x_2=1, y_2=0

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{0-(-4)}{1-0}

$m=\frac{4}{1}

m = 4

y-intercept of the line is the point where the line crosses at y-axis.

Here, the line crosses at y-axis is (0, -4).

y-intercept, (c) = -4

Equation of a line is

y = mx + c

y = 4x + (-4)

y = 4x - 4

The equation which matches the graph above is y = 4x - 4.

Option C is the correct answer.

3 0
2 years ago
Determine f(-1) if the graph of f(x) is given below.
-BARSIC- [3]

Answer:

f(-1) = -2

Step-by-step explanation:

Given

The attached graph

Required

f(-1)

This is the point where

x = -1

On the attached graph;

f(x) = -2 when x = -1

Hence:

f(-1) = -2

8 0
2 years ago
A big lockers above a smaller locker they both have 0.5 m wide and 0.6 m deep Big lockers 1.2 m tall and small lockers half of t
Tomtit [17]

Answer:

0.54\,\,m^3

Step-by-step explanation:

Given: Dimensions of a big locker are 0.5 m × 0.6 m × 1.2 m

Dimensions of a small locker are 0.5 m × 0.6 m × \frac{1.2}{2}=0.6\,\,m (as height of small locker is half the height of big locker )

To find: total volume of one big locker and one small locker

Solution:

Volume of cuboid = length × breadth × height

Total volume of one big locker and one small locker = Total volume of one big locker + total volume of one small locker

= 0.5\times 0.6\times 1.2+0.5\times 0.6\times 0.6

=0.5\times 0.6\left ( 1.2+0.6 \right )\\=0.3(1.8)\\=0.54\,\,m^3

4 0
2 years ago
Read 2 more answers
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