All categories

2 years ago

What is the answer to this

Mathematics

2 answers:

Kay [80]2 years ago

7 0

Answer:

$\displaystyle \frac{1}{36}$

Step-by-step explanation:

According to the Product-to-Power Exponential Rule, whenever you multiply similar bases, you keep the base and add the exponents:

$\displaystyle [-6]^{-2} = [-6]^{-10} \times [-6]^8 → \frac{1}{36} = [-6]^{-2}$

I am joyous to assist you anytime.

Elis [28]2 years ago

5 0

Answer:

(-6)^-10 · (-6)^8 = (-6)^(-10+8)= (-6)^-2

You might be interested in

HOW is shape important when measuring a figure?

neonofarm [45]

Well, if you are measuring the area or volume of a figure, then there are different formulas when it comes to spheres, triangles, squares, and etc.

Basically the formulas different, and you need the right formula that goes with that specific shape.

Example: I have a triangle and all its sides are 3 cm. But I only tell you that all my figure's sides are 3 cm. You would need to know the shape of it to do anything worthwhile with that information.

8 0

3 years ago

41 tens×4hundreds=<br> 410×400=

weqwewe [10]

410x400 is correct and your answer would be 164,000.

7 0

3 years ago

Find a polar equation for the curve represented by the given cartesian equation. X2 + y2 = 2cx

Tanzania [10]

Hi,

Work:

Equation;

$x2 + y2 = 2cx$

Factor out 2x from expression.

$2x \times (1 + yc)$

Use commutative property to reorder yc.

$2x \times (1 + cy) \: \: \: \: \: \: \: \: \: \: \: \: \: result$

Hope this helps.
r3t40

4 0

3 years ago

Solve the proportion

mario62 [17]

Answer:

$\boxed{\sf x = 5}$

Step-by-step explanation:

$\sf Solve \: for \: x \: over \: the \: real \: numbers: \\ \sf \implies \frac{2}{x - 3} = \frac{5}{x} \\ \\ \sf Take \: the \: reciprocal \: of \: both \: sides: \\ \sf \implies \frac{x - 3}{2} = \frac{x}{5} \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \\ \sf \implies \frac{x}{2} - \frac{3}{2} = \frac{x}{5} \\ \\ \sf Subtract \: \frac{x}{5} - \frac{3}{2} \: from \: both \: sides: \\ \sf \implies \frac{x}{2} - \frac{3}{2} - ( \frac{x}{5} - \frac{3}{2} ) = \frac{x}{5} - ( \frac{x}{5} - \frac{3}{2} ) \\ \\ \sf \implies \frac{x}{2} - \frac{3}{2} - \frac{x}{5} + \frac{3}{2} = \frac{x}{5} - \frac{x}{5} + \frac{3}{2} \\ \\ \sf \frac{x}{5} - \frac{x}{5} = 0 : \\ \sf \implies \frac{x}{2} - \frac{x}{5} - \frac{3}{2} + \frac{3}{2} = \frac{3}{2} \\ \\ \sf \frac{3}{2} - \frac{3}{2} = 0: \\ \sf \implies \frac{x}{2} - \frac{x}{5} = \frac{3}{2} \\ \\ \sf \frac{x}{2} - \frac{x}{5} = \frac{5x - 2x}{10} = \frac{3x}{10} : \\ \sf \implies \frac{3x}{10} = \frac{3}{2} \\ \\ \sf Multiply \: both \: sides \: by \: \frac{10}{3} : \\ \sf \implies \frac{3x}{10} \times \frac{10}{3} = \frac{3}{2 } \times \frac{10}{3} \\ \\ \sf \frac{3x}{10} \times \frac{10}{3} = \cancel{\frac{3}{10} } \times( x) \times \cancel{ \frac{10}{3} } = x : \\ \sf \implies x = \frac{3}{2} \times \frac{10}{3} \\ \\ \sf \frac{3}{2} \times \frac{10}{3} = \cancel{ \frac{3}{2} } \times \cancel{ \frac{3}{2} } \times 5 : \\ \sf \implies x = 5$

8 0

3 years ago

Rachel's biscuits require 0.75 cup of milk for 1 batch. Use dimensional analysis to convert this amount into liters. Use the con

g100num [7]

Answer:

0.75 cup = 0.1763 liters

Step-by-step explanation:

From the question:

Using the conversion factors given in question

We are converting

0.75 cup to liters

Step 1

Convert cups to pint

1 cup = 0.5 pints

0.75 cup = x pints

x = 0.75 × 0.5 pints

x = 0.375 pints

Step 2

Convert pints to Quart

1 pints = 0.5 quart

0.375 pint = x quart

Cross Multiply

x quart = 0.375 × 0.5 quart

x quart = 0.1875 quart

Step 3

Convert from quart

1 quart = 0.94 liter

0.1875 quart = x liter

Cross Multiply

x liter = 0.1875 × 0.94 liter

x liter = 0.17625 liters

Approximately to 4 significant figures= 0.75 cup = 0.1763 liters

3 0

2 years ago

Read 2 more answers