All categories

3 years ago

I really need help with this equation

Mathematics

2 answers:

const2013 [10]3 years ago

7 0

Note: a⁻ⁿ = 1/aⁿ

m⁻⁵ = 1/32. 32 = 2⁵

1/m⁵ = 1/2⁵ Comparing numerator and denominator

m⁵ = 2⁵

Since the powers are the same, therefore the base must also be same.

m = 2

zimovet [89]3 years ago

6 0

M = -6.5, because -6.5 times itself -5 times, it will be equivalent to 1/32.
I hope I helped! :-)

You might be interested in

Alexandra has a stand in the marketplace where she sells her cumin for 7.20 per kilogram. If she sells 90 kilograms of cumin her

Drupady [299]

Answer:

$234

Step-by-step explanation:

First we need to define profits. Profits are Income minus Expenses:

P = I - E

We know profits are $414, so:

414 = I - E

We also can calculate income, as it is equal to price by the sales:

I = p*Q

Here she sold 90 kgs at $7.20 b kg. So:

I = p*Q = 7.20 * 90 = 648

So, replacing in profits equation:

414 = I - E

414 = 648 - E

If we sum E in both sides:

414 + E = 648 - E + E = 648

414 + E = 648

Now, subtracting 414 in both sides:

414 + E - 414 = 648 - 414

E = 234

So, her expenses are $234

8 0

3 years ago

Mathematics Areas and perimeters

sweet-ann [11.9K]

Answer:

54.5 Sq. cm

Step-by-step explanation:

<em>area of a right angled triangle = 1/ 2 × base × height </em>

(here, the base is 8 and height is 6)

= 1/ 2 × 6 × 8

= 4 × 6

<u>= 24 Sq. cm</u>

<em>area of a circle</em> = $\pi$ r²

(r is the radius that is diameter/ 2, and the value of $\pi$ is 3. 14)

r = 10/ 2 = 5 cm

= 3. 14.× (5)²

= 3.14 × 25

<u>= 78.5 Sq. cm</u>

area of the shaded region = area of Circle - area of triangle

= 78.5 - 24

that is option 3

7 0

3 years ago

4. The sum of three consecutive odd integers is 36.

PilotLPTM [1.2K]

Answer:

11, 12, 13

Step-by-step explanation:

n, n + 1, n +2

The sum will add to 36

5 0

3 years ago

Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What

iogann1982 [59]

Answer:

None of these choices are correct.

Step-by-step explanation:

If a bond is quoted at 99.875, it means that it is sold at 99.875% of the face value;

Face value = 1000

Therefore, Price = 0.99875 * 1000

Price = $998.75

If Leona pays 5.5% of the selling price, it means that she is paying additional cost which will make the total cost more than the quoted price;

5.5% of 998.75 is;

0.055*998.75 = $54.93

The total cost = $998.75 +$54.93

= $1053.68

Therefore, none of the given choices is correct.

4 0

3 years ago

Read 2 more answers

What is 859 under a thousand as a mixed number?

Semmy [17]

To convert the improper fraction $\frac{1000}{859}$ into a mixed number, you first want to divide the numerator (1000) by the denominator (859):
$1000 \div 859 = 1 R141$

The quotient, which is 1, will be your whole number part of your mixed number. The remainder, 141, will become the numerator of the fraction part of your mixed number. The original denominator of your improper fraction, 859, is still the denominator of your mixed number. So your mixed number form of your improper fraction is:
$\frac{1000}{859} = 1 \frac{141}{859}$

Your answer is $1 \frac{141}{859}$

6 0

3 years ago