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3 years ago

Resultant Terms in Exponential Form 13^-11 * 13^16 * 13^-3 * 13^4 * 13^-5

1 answer:

6 0

Easy
remember
(x^m)(x^n)=x^(m+n)
basically add exponens when the base is same
(13^-11)(13^16)(13^-3)(13^4)(13^-5)=
13^(-11+16-3+4-5)=
13^(5-4)=
13^1=13

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A girl stands on a carousel and rotated around the ride 6 times if the distance between the girl and the center of the carousel

Lesechka [4]

Answer:

301.74 feet

Step-by-step explanation:

Given:

A girl stands on a carousel and rotated around the ride 6 times.

The distance between the girl and the center of the carousel is 8.

It means radius, r = 8 feet

Question asked:

How many feet did the little girl travel ?

Solution:

As here asked that how many feet the little girl traveled during rotation around the ride 6 times, we will find circumference of the circle.

$Circumference\ of \ circle =2\pi r$

$=2\times\frac{22}{7} \times8\\ =\frac{352}{7} \\ =50.29\ feet$

Now, we will multiply this by 6 as she rotated around the ride 6 times.

$6\times50.29=301.74\ feet$

Thus, the little girl traveled 301.74 feet during this ride.

8 0

3 years ago

Find the volume of a sphere with a radius of 9√6<br> Volume: __√6π

VLD [36.1K]

Answer:

$648\sqrt{6}$ π

Step-by-step explanation:

$\frac{4}{3}$ π(9√6)³

= $\frac{4}{3}$ π81*6*√6

=(486* $\frac{4}{3}$ )√6π

=648√6π

5 0

3 years ago

Help please <br> Show work if you can <br> Brainiest answer to whoever is first

Juli2301 [7.4K]

48+230+14= 292= 292ft squared

8 0

3 years ago

Read 2 more answers

7. A company can buy packages of 500 sheets of paper for $4. At that rate, how much paper can be bought for $2000?

mixer [17]

Answer:

ans: 250,000

Step-by-step explanation:

$4----> 500

$1-----> 500/4 = 125

$2000-----> 125 × 2000 = 250,000

8 0

3 years ago

A flat-bottomed ice cream waffle cup is shaped like a 72 mm tall cone with a 42 mm diameter opening at the top, but with the bot

Lina20 [59]

The area of waffle in the cone is the amount of space covered by the waffle

The cone has 5630 square millimeter of waffle

<h3>How to determine the surface area?</h3>

The surface area of a cone is calculated using:

A = πr * (r+ $\sqrt{$ (h^2 + r^2))

For the complete 72 mm tall cone, we have:

Height (h) = 72 mm

Radius (r) = 42 mm/2 = 21 mm

So, the surface area is:

A = πr * (r+ $\sqrt{$ (h^2 + r^2))

A = 3.142 * 21 * (21+ $\sqrt{$ (72^2 + 21^2))

Evaluate

A = 3.142 * 21 * (21+75)

A = 6334.272

When the cone is cut at the top, we have:

Height (h) = 24 mm

Radius (r) = 14 mm/2 = 7 mm

So, the surface area is:

A = πr * (r+ $\sqrt{$ (h^2 + r^2))

A = 3.142 * 7 * (7+ $\sqrt{$ (24^2 + 7^2))

Evaluate

A = 3.142 * 7 * (7 + 25)

A = 703.808

Calculate the difference (d) between the areas

d = 6334.272 - 2.5*703.808

Evaluate

d = 5630.464

Approximate

d = 5630

Hence, the cone has 5630 square millimeter of waffle