3/8 + 1/8 - 2/7 + 1/4

Answer:

dy/dx = -0.5285

Step-by-step explanation:

e^(xy) − y² = e^(−4)

To get dy/dx, we will differentiate with respect to x applying both chain rule and product rule.

Thus;

e^(xy)[d(xy)/dx] - (d/dx)y² = 0

e^(xy)[x(dy/dx) + y] - ((dy/dx) × (d(y²)/dy)) = 0

xe^(xy)[dy/dx] + ye^(xy) - 2y = 0

Thus, rearranging we have;

dy/dx = [2y -(ye^(xy))]/xe^(xy)

We are given;

x = 1/2 and y = 2

Thus;

dy/dx = [2(2) - (2e^(½ × 2))]/(1e^(½ × 2))

dy/dx = (4 - 5.4366)/2.7183

dy/dx = -0.5285

Answer:

Rs. 440

Explanation:

Tax= 400/100×10%

= Rs. 40

Total amount= 400+40

= Rs. 440

Answer:

cost is 400

Step-by-step explanation:

10/100×40

=10×4

=40

now total amount =400+40

=440

Answer:

y = 4/3 + 4

Step-by-step explanation:

4/3 comes from using rise over run. 4 comes from the y-intercept.

Answer:

y = [tex]\frac{4}{3}[/tex] x + 4

Step-by-step explanation:

y = mx + b

m = [tex]\frac{rise}{run}[/tex] ; "b" is y-intercept

~~~~~~~~~~~

m = [tex]\frac{4}{3}[/tex] and b = 4

y = [tex]\frac{4}{3}[/tex] x + 4

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total outcome is

3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1 = 100

Favorable outcome is

3 + 6 + 11 + 16 + 5 = 41

The percent probability is

41 / 100 = 41 %

The ratio of lemonade and sparkling water is 1:3.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Number of tablespoons of lemonade = 4,

And number of cups of sparkling water = 12.

To find tablespoons of lemonade pr cup of sparkling water,

Use ratio property,

= 4:12

=1:3

Therefore, 1 tablespoon of lemonade takes 3 cups of sparkling water.

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Answer:

A

Step-by-step explanation:

First expand the 3 and get 7x + 3x - 6 - 4x + 8

All them altogether

7x + 3x = 10x - 4x = 6x

-6 + 8 = 2

Plug in the equation and we get 6x + 2

Answer:

2 more liters of juice

Step-by-step explanation:

John bought a total of 12 liters of coke and a total of 14 liters of juice.

As a result, 14 - 12 = 2

He bought two more liters of juice than coke!

Hope this helps! Smiles and hugs,

SlytherinWolf

P.S. I hope your day gets better, you totally deserve it. ☺

Answer:

2 Liters

Step-by-step explanation:

1. Multiply 1.5 times 8.

1.5 x 8 = 12 L

2. Multiply  7 times 2.

7 x 2 = 14 L

3. Subtract the amount of coke from the amount of juice.

14 - 12 = 2 L

2 LITERS MORE

hope this helps, let me know if you have any questions! <3

Answer:

D

The line shows an intercept of -3 and a slope of 5/7. Equation D displays this

Step-by-step explanation:

well, for future reference. you mutiply length x width x height to get the volume.

1. 315

2. 1,152

3. 90

4. 700

5. 294

6. 847

7. 1,331

8. 672

Answer:

Yes

Step-by-step explanation:

An interger cannot have a fraction or decimal. It can be negative and positive.

Answer:

yes!

Step-by-step explanation:

An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10, 0, -25, and 5,148 are all integers. Unlike floating point numbers, integers cannot have decimal places. Integers are a commonly used data type in computer programming.

Answer:

12(18-6)

Step-by-step explanation:

Answer:$12 — 6(5-3)

Step-by-step explanation:

It’s pretty straight forward. We know that he only needs to pay for 2 of his 5 friends (5-3). Then it costs $6 per person, and there are two people. 6x2=$12

Answer:

The two numbers are 40 and 3

Step-by-step explanation:

Assume that the first number is x and the second number is y

∵ Four tenths = [tex]\frac{4}{10}[/tex] = 0.4

∵ One tenth = [tex]\frac{1}{10}[/tex] = 0.1

∵ Four tenths of 1st number increased by the 2nd number equals 19

∵ The 1st number = x and the 2nd number = y

∴ 0.4x + y = 19 ⇒ (1)

∵ One tenth of the 1st number decreased by the 2nd number is equal to 1

∴ 0.1x - y = 1 ⇒ (2)

Now we have a system of equations to solve it

→ Add equations (1) and (2) to eliminate y

∵ (0.4x + 0.1x) + (y + -y) = (19 + 1)

∴ 0.5x + 0 = 20

∴ 0.5x = 20

→ Divide both sides by 0.5 to find x

∵ [tex]\frac{0.5x}{0.5}[/tex] = [tex]\frac{20}{0.5}[/tex]

∴ x = 40

→ Substitute the value of x in equation (1) or (2) to find y

∵ 0.4(40) + y = 19

∴ 16 + y = 19

→ Subtract 16 from both sides

∴ 16 - 16 + y = 19 - 16

∴ y = 3

∴ The two numbers are 40 and 3

Answer:

What is the value of x in the product of powers 55 · 5x = 52 ?

x = –3

What is the value of y in the product of p-3 · p-6 = py

y = –9

What is the value of n in th product of 92 · 9-7 · 9n  =  9-5 = [tex]\frac{1}{9^5} }[/tex]

n = 0

Hope this helps :D

The value of x in the product of powers is -3, the value of y is -9 and the value of n is 0.

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given that,

5⁵ . 5ˣ = 5²

We have to use a multiplication rule for exponent here.

xᵃ . xᵇ = xᵃ⁺ᵇ

Using this,

5⁵⁺ˣ = 5²

⇒ 5 + x = 2

⇒ x = -3

p⁻³ . p⁻⁶ = p^y

Using the same rule of exponent,

p⁻³⁺⁻⁶ = p^y

⇒ y = -3 - 6 = -9

9² . 9⁻⁷ . 9ⁿ = 9⁻⁵

9²⁻⁷⁺ⁿ = 9⁻⁵

⇒ 2 - 7 + n = -5

⇒ n = 0

Hence the values of x, y and n are -3, -9 and 0 respectively.

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Answer:

5 5/6 hours

Step-by-step explanation:

Answer:

5 5/6 hours

Step-by-step explanation:

Answer:

a) $3000

b) $1500

Step-by-step explanation:

a)

interest = Principal x rate as decimal x time

interest = 15,000 x 0.05 x 4

interest = 3000

b)

interest = Principal x rate as decimal x time

interest = 15,000 x 0.05 x 2

interest = 1500

you save $1500 if you pay after 2 years

Answer:

10470.5

Step-by-step explanation:

10470.5. from my aunt

Answer:   y intercept = 4

The y intercept always occurs when x = 0. This is the location where the graph crosses the y axis. From the list of points, we see that (0,4) is the location of the y intercept. We can say the y intercept is 4.

Answer:

A

Step-by-step explanation:

The answer is a trust me man ik ur timed so no time for xplains

The equation 6x + 12 = 5x + 35 will have one possible solution i.e. (23, 150)

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following equation as -

6x + 12 = 5x + 35

Assume that -

6x + 12 = 5x + 35 = y

y = 6x + 12

y = 5x + 35

Graph the equations. The points of intersection would be the solutions.

Therefore, the equation 6x + 12 = 5x + 35 will have one possible solution i.e. (23, 150)

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Answer:

study it

Step-by-step explanation:

study it

Answer: 12.25 dollars

Step-by-step explanation:

Answer:

0.68

Step-by-step explanation:

Answer:

Step-by-step explanation:

We need the choices please.

Answer:

20 cakes

Step-by-step explanation:

28/7=4 cakes per day

4x5= 20

20 cakes in 5 days

Hope it helps :)

Answer:

20 cakes in 5 days

Step-by-step explanation:

To find this, we need to find out how much he can make in 1 day.

So divide 7 by 7 and 28 by 7 and get 4 cakes in 1 day.

After we got 4 cakes each day, we multiply it by 5 to see how much we get in 5 days and get 20 cakes in 5 days.

Hope this helps! PLEASE mark brainliest!

Answer:

The letter j because the points have to be functioned as a straight line