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2 years ago

Find the first partial derivative: f(x, y) = y^5 -3xy

1 answer:

8 0

Partial derivative is derivative over only 1 variable.
here we have 2 variables so it depends on which variable you want to make partial derivative.

case 1.
df/dx = -3y

case 2
df/dy = 5y^4 - 3x

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Segment GI is congruent to Segment JL and Segment GH is congruent to Segment KL. I have to prove Segment HI is congruent to Segm

madreJ [45]

Answer:

See explanation

Step-by-step explanation:

1 step: $\overline{GI}\cong \overline {JL}$ - given

2 step: $\overline{GI}\cong \overline{GH}+\overline{HI}$ - Segments Addition Postulate

3 step: $\overline{GH}+\overline{HI}\cong \overline {JL}$ - Substitution Property

4 step: $\overline {JL}\cong \overline {JK}+\overline {KL}$ - Segments Addition Postulate

5 step: $\overline{GH}+\overline{HI}\cong \overline {JK}+\overline {KL}$ - Substitution Property

6 step: $\overline{GH}\cong \overline {KL}$ - given

7 step: $\overline{GH}+\overline{HI}\cong \overline {JK}+\overline {GH}$ - Substitution Property of Equality

8 step: $\overline{HI}\cong \overline {JK}$ - Subtraction Property of Equality

3 0

2 years ago

the united states has 12,383 miles of coastline.if 0.8% of the coastline is located in georgia,about how many miles of coastline

Sever21 [200]

Answer:

825.5 miles of coastline

Step-by-step explanation:

The United States has 12383 miles of coastline.

0.8% of the coastline is in Georgia

Total number of coastline in Georgia will be

0.8% /100% x 12383

0.0667 x 12383

825.5

So there are 825.5 miles of coastline Georgia

6 0

2 years ago

Shawna and her best friend Keisha go shopping. The function p(t) = 3x4 + 2x3 − 4x2 + 21 represents how much money each girl spen

Komok [63]

Shawna and her best friend Keisha together spend $ 138

<h3>Solution:</h3>

Given that, Shawna and her best friend Keisha go shopping.

The function given for money each girl spent based on the number of hours they were shopping is:

$p(t)=3 x^{4}+2 x^{3}-4 x^{2}+21$

Find the amount of money that each girl spent

For t = 2 hours

$\begin{array}{l}{\mathrm{p}(2)=3(2)^{4}+2(2)^{3}-4(2)^{2}+21} \\\\ {\mathrm{p}(2)=3 \times 16+2 \times 8-4 \times 4+21} \\\\ {\mathrm{p}(2)=48+16-16+21} \\\\ {\mathrm{p}(2)=69}\end{array}$

Find the amount of money that they spend together

Multiply by 2 the amount of money that each girl spent

$2 \times 69 = 138$

3 0

2 years ago

Read 2 more answers

PLEASE HELP: For the next RSM Award ceremony, it was decided to decrease the length of the main poster by 12% and to increase i

MrRissso [65]

Let me set an example to help solve this, say the poster is 100 inches by 90 inches. the length of the poster is reduced by 12% so subtract 12 from 100 to get you new length of 78 inches. the width is increased by 15% so multiply 90 by 15% to get 13.5 inches and add the to the 90 inches you have to get your new width of 103.5 inches. multiply them together to get your new area then divide the new area by the old area, subtract that number by 1 and multiply it by -1.

3 0

2 years ago

Find Four Numbers that form a geometric progression such that the second term is less than the first by 35, and the third term i

Olegator [25]

Answer:

-35/3, -140/3, - 560/3, -2240/3
7, -28, 112, - 448

Step-by-step explanation:

The terms are:

a₁, a₂, a₃, a₄

Given:

a₁ = a₂ + 35
a₃ = a₄ + 560

Use the nth term formula:

a₂ = a₁r
a₃ = a₁r²
a₄ = a₁r³

Substitute:

a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560

Divide the second equation by the first:

r² = 560/35
r² = 16
r = √16
r = ± 4

Use the first equation to find the first term:

a₁( 1 ± 4) = 35
1. a₁ = 35/-3 = -35/3
2. a₁ = 35/5 = 7

We have two sequences:

r = 4

-35/3, -140/3, - 560/3, -2240/3

r = -4

7, -28, 112, - 448

8 0

2 years ago