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3 years ago

3•3^-1 Show work plz!

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

8 0

Answer:

Step-by-step explanation:

Firstly we need to do the exponent,3^-1, which equals 1/3.

Now, we multiply 3 with 1/3.

3•1/3 =1

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Aleksandr [31]

Answer:

co.: 14, -2, -5 var. terms: 14x,-2x,-5x con. terms: 9,8,1

Step-by-step explanation:

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3 years ago

Anna is planning a birthday party for her brother Juan. She is planning on serving hamburgers to her guests.

wolverine [178]

The least amount of hamburger patties anna could buy would be 24 and that is 2 packs of 12. this is because the LCM of 12 and 8 is 24

7 0

3 years ago

Rachel has a box in the shape of a prism with a square base. The capacity of the box is 150 cubic inches. The height of the box

hjlf

V = s²h

150 = s²h 
150 = s²(3/2)s 
(2/3)150 = s³ 
100 = s³ 
s = ∛100 (approx 4.642 in)

6 0

3 years ago

A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making

Archy [21]

Answer:

The equation to find the profit made by business combined is $x+4x = 10$ .

Business A made $2 million profit and Business B made $8 million profit.

Step-by-step explanation:

Given:

Profit made in previous financial year = $10 million

We need to write an equation to find the profit made by the business.

Solution:

Let the profit (in millions) made by business A be 'x'.

Let the profit (in millions) made by business B be 'y'.

Now given:

business B making 4 times as much profit as business A.

so we can say that;

$y =4x$

Now we know that;

Profit made in previous financial year is equal to sum of profit (in millions) made by business A and profit (in millions) made by business B.

framing in equation form we get;

$x+y =10\ million$

Substituting the value of y in above equation we get;

$x+4x = 10$

Hence The equation to find the profit made by business combined is $x+4x = 10$ .

On Solving above equation we get;

$5x =10\\\\x =\frac{10}{5} = \$2 \ million$

profit (in millions) made by business A = $\$2 \ million$

profit (in millions) made by business B = $4x =4\times 2 =\$8 \ million$

Hence Business A made $2 million profit and Business B made $8 million profit.

8 0

3 years ago

A ball slides up a frictionless ramp. It is then rolled without slipping and with the same initial velocity up another frictionl

KATRIN_1 [288]

Answer:

Rolling case achieves greater height than sliding case

Step-by-step explanation:

For sliding ball:

- When balls slides up the ramp the kinetic energy is converted to gravitational potential energy.

- We have frictionless ramp, hence no loss due to friction.So the entire kinetic energy is converted into potential energy.

- The ball slides it only has translational kinetic energy as follows:

ΔK.E = ΔP.E

0.5*m*v^2 = m*g*h

h = 0.5v^2 / g

For rolling ball:

- Its the same as the previous case but only difference is that there are two forms of kinetic energy translational and rotational. Thus the energy balance is:

ΔK.E = ΔP.E

0.5*m*v^2 + 0.5*I*w^2 = m*g*h

- Where I: moment of inertia of spherical ball = 2/5 *m*r^2

w: Angular speed = v / r

0.5*m*v^2 + 0.2*m*v^2 = m*g*h

0.7v^2 = g*h

h = 0.7v^2 / g

- From both results we see that 0.7v^2/g for rolling case is greater than 0.5v^2/g sliding case.

4 0

3 years ago