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3 years ago

Is the expression 3^2 ^3 equivalent to 3^3 ^2 explain.

2 answers:

7 0

You only distribute the 3 to the x but not to 1 1/2. In order for the two equations to be the same, you have to distribute 3 to both the x and 1 1/2. Then the answer will look like this : 3x + 4 1/2 or 3x + 9/2

Pavlova-9 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

because they have 2 different answers

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Give the difference of 8/13 and 5/13 A. 3/13 B. 8/13 C. 5/13

nikitadnepr [17]

Answer:

3/13

Step-by-step explanation:

8/13 subtract by 5/13. If the denominator is the same, you keep it, don't change it. Just subtract the numerator.

Make sure to simplify, if it is already simplified that will be the answer.

5 0

2 years ago

Read 2 more answers

Use spherical coordinates. Find the volume of the solid that lies within the sphere x^2 + y^2 + z^2 = 81, above the xy-plane, an

Natasha_Volkova [10]

Answer:

The volume of the solid is 243 $\sqrt{2} \ \pi$

Step-by-step explanation:

From the information given:

BY applying sphere coordinates:

0 ≤ x² + y² + z² ≤ 81

0 ≤ ρ² ≤ 81

0 ≤ ρ ≤ 9

The intersection that takes place in the sphere and the cone is:

$x^2 +y^2 ( \sqrt{x^2 +y^2 })^2 = 81$

$2(x^2 + y^2) =81$

$x^2 +y^2 = \dfrac{81}{2}$

Thus; the region bounded is: 0 ≤ θ ≤ 2π

This implies that:

$z = \sqrt{x^2+y^2}$

ρcosФ = ρsinФ

tanФ = 1

Ф = π/4

Similarly; in the X-Y plane;

z = 0

ρcosФ = 0

cosФ = 0

Ф = π/2

So here; $\dfrac{\pi}{4} \leq \phi \le \dfrac{\pi}{2}$

Thus, volume: $V = \iiint_E \ d V = \int \limits^{\pi/2}_{\pi/4} \int \limits ^{2\pi}_{0} \int \limits^9_0 \rho ^2 \ sin \phi \ d\rho \ d \theta \ d \phi$

$V = \int \limits^{\pi/2}_{\pi/4} \ sin \phi \ d \phi \int \limits ^{2\pi}_{0} d \theta \int \limits^9_0 \rho ^2 d\rho$

$V = \bigg [-cos \phi \bigg]^{\pi/2}_{\pi/4} \bigg [\theta \bigg]^{2 \pi}_{0} \bigg [\dfrac{\rho^3}{3} \bigg ]^{9}_{0}$

$V = [ -0+ \dfrac{1}{\sqrt{2}}][2 \pi -0] [\dfrac{9^3}{3}- 0 ]$

V = 243 $\sqrt{2} \ \pi$

4 0

3 years ago

On August 1, 2021, a company accepts an $8,000, 9-month note receivable. For 2021, the company reports interest revenue of $200.

erastova [34]

Answer:

Step-by-step explanation:

We have to calculate the interest rate in the note, we must follow the following steps, calculate the amount of time remaining from the year 2021, as follows:

interest is for 5 months i.e. from Aug 01 to Dec 31 for year 2021 , so it means it would be 5/12 months.

We have to calculate the interest as follows:

I = P * R * T

We replace:

200 = 8000 * R * 5/12

we solve for R

200 * 12/5 = 8000 * R

R * 8000 = 480

R = 480/8000

R = 0.06

Which means that the interest rate on the note is 6%

4 0

3 years ago

What is the area of a shaded segment with an area of 12 and an arch angle of 60

Scorpion4ik [409]

Let A = the area of the whole circle
Let S = the area of the shaded portion
The shaded area is a portion of the circle that is determined by the ratio of the shaded sector to the whole circle of 360 degrees, or
S = (60/360) × A = ( 1 / 6 ) × 12 = 2 ;

3 0

3 years ago

If Susan earn 1,800 per month and her rent is 504 per month, what percent of her income is spent on rent?

svetoff [14.1K]

504÷1800=0.28
28% of her income goes to her rent

4 0

3 years ago