The ratio of the length to the width of a rectangular field is 4 to 3. If the field is 120 yards long, how wide is the field?

Answer:

[tex]y''=\frac{-250x}{y^5}[/tex]

Choice A.

Step-by-step explanation:

We are given:

[tex]5x^3-y^3=25[/tex]

We are asked to find:

[tex]\frac{d^2y}{dx^2}[/tex]

This requires we first find:

[tex]\frac{dy}{dx}[/tex]

Let's begin.

We will differentiate the right hand side using the constant rule since 25 is just a constant. We will differentiate the left hand side using difference rule  and then constant multiple rule and then power rule and chain rule.

[tex](5x^3-y^3=25)'[/tex]

[tex](5x^3-y^3)'=(25)'[/tex]

[tex](5x^3)'-(y^3)'=0[/tex]

[tex]5(x^3)'-(y^3)'=0[/tex]

[tex]15x^2-3y^2y'=0[/tex]

Now let's solve for [tex]y'[/tex].

Add [tex]3y^2y'[/tex] on both sides:

[tex]15x^2=3y^2y'[/tex]

Divide both sides by [tex]3y^2[/tex]:

[tex]\frac{15x^2}{3y^2}=y'[/tex]

Symmetric property of equality:

[tex]y'=\frac{15x^2}{3y^2}[/tex]

Simplify right hand side:

[tex]y'=\frac{5x^2}{y^2}[/tex]

Now let's find the second derivative by differentiating both sides of this equation. We will use the quotient rule on the right hand side:

[tex]y''=\frac{(5x^2)'y^2-5x^2(y^2)'}{(y^2)^2}[/tex]

[tex]y''=\frac{10xy^2-5x^2(2yy')}{y^4}[/tex]

We can replace [tex]y'[/tex] with [tex]\frac{5x^2}{y^2}[/tex]... since we just got this result before differentiating both sides of an equality again.

So we have:

[tex]y''=\frac{10xy^2-5x^2(2y\frac{5x^2}{y^2})}{y^4}[/tex]

Let's simplify the 2nd term on top by cancelling a common factor of y in that term from top and bottom:

[tex]y''=\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]

We still don't like having this compound fraction (a mini fraction inside a bigger fraction). Let's get rid of that...Multiply numerator and denominator by [tex]\frac{y}{y}[/tex] for the big fraction to clear the mini fraction out.

[tex]y''=\frac{y}{y}\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]

Distribute:

[tex]y''=\frac{10xy^3-5x^2(2)5x^2}{y^5}[/tex]

Simplifying a bit more:

[tex]y''=\frac{10xy^3-50x^4}{y^5}[/tex]

We could factor the top a bit... both terms on top of a common factor of [tex]10x[/tex]:

[tex]y''=\frac{10x(y^3-5x^3)}{y^5}[/tex]

Notice the thing in ( ) on top is the exact opposite of the left hand side of our original equation: [tex]5x^3-y^3=25[/tex].

This implies we can replace it with -25:

[tex]y''=\frac{10x(-25)}{y^5}[/tex]

[tex]y''=\frac{-250x}{y^5}[/tex]

Answer: (80+90+z)/3=90

Step-by-step explanation:

Answer:

(80+90+x) /3 =90

Step-by-step explanation:

Answer:

The total yards gained was 13 yards.

Step-by-step explanation:

If you do 8-15+20=13

PLEASE MARK BRAINLIEST

Answer:

$11.83

Step-by-step explanation:

1 gallon = 3.785 litres

0.5(1/2gallon) = x liters

x = 0.5 × 3.785 liters

x = 1.89271 liters

0.8 liter = 100 pesos

1.89271 liters = x pesos

x = 1.89271 × 100/0.8

x = 236.58875 pesos

Converting to dollars

1 mexican peso = $0.050

236.58875 pesos = x

x = 236.58875 × $0.050

x = $11.8294375

Approximately = $11.83

A half gallon jug of the same wine cost in dollars $11.83

Answer:

unit price for 11.3-ounce package = $0.25

unit price for 27.8-ounce package =  $0.23

27.8-ounce package is the better buy

Step-by-step explanation:

An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.

a) 11.3-ounce package

11.3 ounces = $2.88

1 ounce = $2.88 ÷ 11.3

1 ounce = $0.25

b) 27.8-ounce package

27.8 ounces = $6.48

1 ounce = $6.48 ÷ 27.8

1 ounce = $0.23

$0.25 > $0.23

Answer:

c

Step-by-step explanation:

Answer:

B) 1

Step-by-step explanation:

When reading the problem it tries to trip you up with the black dot. A line of symetery marks where you can cut the shape in half and have both parts equal. With the black dot a part of the shape there is only one way for a line of symetery to work as it can only be split in half that one way. No other corners have a black dot so there is no other way to split it where it would be symetrical.

Answer:

xyz is isosceses triangle

9514 1404 393

Answer:

Step-by-step explanation:

Since we want to know the actual number of feet, we can write the proportion with that in the numerator.

  [tex]\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}[/tex]

The real caboose is 42 1/4 feet long.

Answer:11

Step-by-step explanation:

Look at middle of pot line

Answer:

it iis 13 :) plz mark me brainlyisst

Step-by-step explanation:

Answer:

i

Step-by-step explanation:

i=√-1

Answer:

➩ 15 : 4 is the ratio

Step-by-step explanation:

Hari's marbles are = ¾ which is black in color.

And ⅕ of his marbles are green in color.

Forming in ratio :

[tex] \sf \to \: \frac{3}{4} : \frac{1}{5} \\ \sf \to \: \frac{3}{4} \times 5 \\ \sf \to \: \frac{15}{4} \\ \sf \to \: 15 : 4 \: ans.[/tex]

Answer:

15/4

Step-by-step explanation:

Let's try doing this with decimals. It might be easier.

3/4 = 0.75    black

1/5 = 0.2      green

Black / Green = 0.75/0.2 = 3 3/4  to 1

Black / Green = 15/4

Answer:

E

600

Step-by-step explanation:

10n - 1000 = 5000

10n = 6000

n = 600

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

2x + 8y = 22

8x - 8y = 8

Step 2: Solve for x

Elimination

Step 3: Solve for y

Step 4: Graph systems

Check the systems.

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

slope formula: [tex]\frac{y{2}-y{1} }{x{2}-x{1}}[/tex]

x1 and y1 are (-2, -1)

x2 and y2 are (4, 3)

[tex]\frac{3-(-1)}{4-(-2)}[/tex]

[tex]\frac{3+1}{4+2}[/tex]

[tex]\frac{4}{6}[/tex]

[tex]\frac{2}{3}[/tex]

Answer:

X=35

Step-by-step explanation:

Those 2 angles equal each other, meaning they're the same.

Knowing that you put them to equal each other.

2x+15=3x-20

Then you solve it.

20+15=3x-2x

35=1x

X=35

Answer:

-6,6

Step-by-step explanation:

Answer:

-11/12 − 1/6

-3/5 + 3/20

-2/3 + 1/12

Step-by-step explanation:

Answer:

company d

Step-by-step explanation:

mark brainliest

Answer:

after 3 days, the total cost of renting a car from Discount car rentals or Payless car rentals is the same.

The difference between 2 days = $265 - $185 = $80

If the difference between 2 days = $80

Difference between 1 day = $80/2= $40

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try my best to get u  a better answer! have a great day :)

Answer:

The 4 answers are given below:

0.1cm,  0.1 probability,  0.25 probability,  1.095cm

Step-by-step explanation:

QUESTION HEAD: At a computer manufacturing company, the actual size of a computer chip is normally distributed with a mean of 1cm and standard deviation of 0.1cm. A random sample of 12 computer chips is taken.

(A) What is the standard error for the sample mean?

(B) What is the probability that the sample mean will be between 0.99 and 1.01cm?

(C) What is the probability that the sample mean will be below 0.95cm?

(D) Above what value do 2.5% of the sample means fall?

ANSWERS:

(A) The standard error for the sample mean is 0.1cm

(B) [0.99, 1.01]cm?

The mean length is 1cm and S.E. is 0.1cm, hence all lengths fall into the following range: [0.9 - 1.1]

0.99 - 0.9 = 0.09

1.1 - 1.01 = 0.09

0.09 + 0.09 = 0.18

1.1 - 0.9 = 0.2

0.2 - 0.18 = 0.02  This is the fraction of 0.2 that the length bracket in the question occupies. So 0.02/0.2 = 0.1

Hence the probability that the sample mean will be between 0.99 and 1.01cm is 0.1 (which translates to a 10% probability/chance)

(C) The probability that the sample mean will be below 0.95 is:

0.95 - 0.9 = 0.05

0.05/0.2 = 0.25 (which translates to a 25% chance of occurrence)

(D) Above what value do 2.5% of the sample means fall?

Here, you're looking for the value of the mean which serves as the lower limit for the top 2.5% of sample mean values.

2.5% of 0.2 = 0.025 × 0.2 = 0.005

Subtract this from the highest possible mean value:

1.1 - 0.005 = 1.095

So, above 1.095 is where 2.5% of the sample means fall

The standard error for the sample mean is 0.1cm

The mean length is 1cm and S.E. is 0.1cm, hence all lengths fall into the following range: [0.9 - 1.1]

Thus, the probability that the sample mean will be between 0.99 and 1.01cm is 0.1 .

The probability that the sample mean will be below 0.95 is:

Thus,the probability that the sample mean will be below 0.95 cm is 0.25.

The value do 2.5% of the sample means fall in :

Subtract this from the highest possible mean value:

Thus, the value of 2.5% of the sample means falls in 1.095.

Know more :

https://brainly.com/question/25870863?referrer=searchResults

Answer:

Step-by-step explanation:

-3x+4

-3(-4)+4

12+4

16

Answer:

3x+4

3(-4)+4

12+4

16

Step-by-step explanation:

Answer:

b. 36

Step-by-step explanation:

Evaluate x^4 - 4 x^2 + 3 x where x = -3:

x^4 - 4 x^2 + 3 x = (-3)^4 - 4×(-3)^2 - 3×3

Hint: | Evaluate (-3)^2.

(-3)^2 = 9:

(-3)^4 - 49 - 3×3

Hint: | Determine the sign of (-3)^4.

(-3)^4 = (-1)^4×3^4 = 1×3^4:

3^4 - 4×9 - 3×3

Hint: | Compute 3^4 by repeated squaring.

3^4 = (3^2)^2:

(3^2)^2 - 4×9 - 3×3

Hint: | Evaluate 3^2.

3^2 = 9:

9^2 - 4×9 - 3×3

Hint: | Evaluate 9^2.

9^2 = 81:

81 - 4×9 - 3×3

Hint: | Multiply -4 and 9 together.

-4×9 = -36:

81 + -36 - 3×3

Hint: | Multiply 3 and -3 together.

3 (-3) = -9:

81 - 36 + -9

Hint: | Group the negative terms in 81 - 36 - 9 together and factor out the minus sign.

81 - 36 - 9 = 81 - (36 + 9):

81 - (36 + 9)

Hint: | Evaluate 36 + 9 using long addition.

| 1 |  

| 3 | 6

+ | | 9

| 4 | 5:

81 - 45

Hint: | Subtract 45 from 81.

| 7 | 11

| 8 | 1

- | 4 | 5

| 3 | 6:

Answer: 36

Answer:

46.667% increase of 30.

Step-by-step explanation:

44 is a 46.667% increase of 30.

Step-by-step explanation:

Thank you rhhtthrhrgrgtnymuge hjk it is the right

Answer:

The value of f(3)=12.4

Step-by-step explanation:

Average rate of change = 3.4

Interval: -2 < x < 3

f(-2) = 9

We need to find f(3)

The formula used to calculate Average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]

here we have a=-2 and b=3

Now finding f(3)

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\3.4=\frac{f(3)-f(-2)}{3-2} \\3.4=\frac{f(3)-9}{1}\\3.4=f(3)-9\\f(3)=3.4+9\\f(3)=12.4[/tex]

So, The value of f(3)=12.4

Feet long bricks - 0.75

No of bricks she added

is 15

So now we will multi plied

0.75× 19

Se solution 0.75

× 15

________

11 . 25

So the Answer is 11 . 25 is the final

answer

hope this Answer will help you

Step-by-step explanation:

its ratio so it has to be A