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ohaa [14]
2 years ago
6

Simplify (34)−1.

Mathematics
1 answer:
elena55 [62]2 years ago
6 0

The simplified form of the expression; (3/4)-¹ as given in the task content is; 4/3.

<h3>What is the simplified form of the expression as given in the task content?</h3>

It follows from the task content that the expression in discuss can be simplified as follows by the laws of indices;

(3/4)-¹

Hence, due to negative exponent, the result is;

= 1 ÷ (3/4)¹

= 1 × (4/3)

= 4/3.

Read more on indices;

brainly.com/question/170984

#SPJ1

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This is more a math question but no one is answering in the \"math\" section. . Compute 6.28x10^13 +6.30x10^11. Express your ans
RSB [31]
<span>The key step is to rewrite the exponential notations so that the exponent is the same. Then you can deal with the addition just as you would adding two decimals. The best way is to rewrite the number with the smaller exponent. 6.30 x 10^11 = 0.0630 x 10^13 Now you are adding 6.28 x 10^13 and 0.0630 x 10^13, and your answer is (6.28 + 0.0630) x 10^13. You can do the addition in the parentheses using the usual rules for sig dig when you add decimals. If necessary, afterward, you can rewrite the exponent again so that the mantissa is between 1 and 10.</span>
7 0
3 years ago
Read 2 more answers
Yesterday morning, at 6:00 AM, water started leaking from a tank at a constant rate. The tank contained8,496liters of water at 6
GREYUIT [131]

A linear equation can be written as:

y = a*x + b

where a is the slope and b is the y-intercept.

If we know that the line passes through the points (x₁, y₁) and (x₂, y₂) the slope is:

a = \frac{y_2 - y_1}{x_2 - x_1}

The answers are:

a) y = (-12 L/min)*t + 9,000 L

b) 6,840 L

a) Here we know that we can model this situation with a linear equation, we know that the leak starts at 6:00 am, then we define t = 0 as 6:00 am

We know that at 6:42 am  (at t = 42 mins) the tank has 8,496 liters.

And at 7:15 am (at t = 75 mins) the tank has 8,100 liters.

Then we have two points of the line:

(42 mins, 8,496 liters)

(75 mins, 8,100 liters)

Then the slope is:

a = \frac{8,100 liters - 8,496 liters }{75 mins -42 mins } = -12 L/min

So the line will be something like:

y = (-12 L/min)*t + b

To find the value of b, which is the initial volume of water in the tank, we use the point (75 mins, 8,100 liters)

This means that if t = 75 mins, then we have y = 8,100 L

So we can replace these two on the above equation:

8,100 L = (-12 L/min)*75 mins + b

8,100L = -900L + b

8,100L + 900L = b = 9,000 L

Then the linear equation is:

y = (-12 L/min)*t + 9,000 L

b) Now we want to know how much water is in the tank at 9:00 am.

Notice that 9:00 am is 3 hours after 6:00 am, our t = 0.

Then  9:00am is equivalent to t = 180 mins.

So to know the volume of water that there is in the tank at 9:00 am, we just need to evaluate the linear function at t = 180 mins.

y = (-12 L/min)*180 mins + 9,000 L = 6,840 L

If you want to learn more, you can read:

brainly.com/question/24594539

7 0
3 years ago
The length of a rectangle is 5in longer than its width. If the perimeter of the rectangle is 46in, find its area
Crank
<span>width = x
</span><span>length = x+5

2x + 2(x+5) = 46
2x + 2x + 10 = 46
4x = 46 - 10
4x = 36
x = 36/4 </span><span>
x = 9 in  </span> ←  width 

length = x+5 = 9 + 5 = 14 in
<span>
Area = 9 * 14 = 126 in</span>²<span>

</span>
6 0
3 years ago
(x1/6)3 simplify the expression
svp [43]

Answer:

x1/2

Step-by-step explanation:

Simplify the following:

(3 x1)/6

Hint: | In (x1×3)/6, divide 6 in the denominator by 3 in the numerator.

3/6 = 3/(3×2) = 1/2:

Answer:  x1/2

6 0
3 years ago
Read 2 more answers
Countering a cost $9.40 per sales tax. After sales tax, it cost $9.87. What is the sales tax rate?
Nady [450]
STEP 1:
find the sales tax (decimal form)

x= sales tax

Cost + (Cost * Sales Tax)= Total
plug in known numbers

$9.40 + ($9.40 * x)= $9.87

9.40 + 9.40x= 9.87
subtract 9.40 from both sides

9.40x= 0.47
divide both sides by 9.40

x= 0.47/9.40

x= 0.05 sales tax decimal form


STEP 2:
find sales tax percentage

= 0.05 * 100
or move decimal to the right two decimal places

= 5% sales tax percent form


ANSWER: The sales tax is 5% (or 0.05 in decimal form)

Hope this helps! :)
6 0
3 years ago
Read 2 more answers
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