Let f(x, y) = y ln x - xe". I (a) Find Def in the direction of the vector (2,3) at the point (e, 1). (b) Find an equation of the tangent plane to the graph of f(x, y) at the point (e, 1, 1 e²).

false because when u connect the dots it does not make a straight line that goes thru the origin

Answer:

false

Step-by-step explanation:

Answer:

265 miles

Step-by-step explanation:

Divide 106 by 2 and get 53. Now you know that Andre rides 53 miles per hour.

To find your answer, Multiply 106 by 2 and get 212. Add 53 to 212.

Result: 265 miles per 5 hours

Therefore, 265 would be your answer.

-kiniwih426

The word problem's solution states that 86 adult tickets were sold on that particular day.

A mathematical statement that demonstrates the equality of two expressions is called an equation. The two expressions are separated by the equal character "=". Variables, constants, and mathematical operations like multiplication, division, addition, subtraction, exponents, etc. may be used in the equations on either side of the equal sign.

Assume that "c" represents the number of child tickets sold and "a" represents the number of adult tickets sold.

From the information provided, we understand that:

A young person's ticket costs $6.10

A ticket for an adult costs $9.40.

There have been 136 tickets sold in total.

$1027.60 has been earned in total from the selling of tickets.

To express the provided information, we can put up two equations:

c + a = 136 (Equation 1: amount of tickets sold overall)

6.10c + 9.40a = 1027.60 (Equation 2: the total amount made from ticket sales)

Equation 1 can be used to express "c" in terms of "a" in order to solve for "a":

c = 136 - a

By entering this expression in place of "c" in Equation 2, we obtain:

6.10(136 - a) + 9.40a = 1027.60

By enlarging and streamlining this equation, we arrive at:

830.96 - 2.3a = 1027.60

830.96 from both sides is subtracted to arrive at:

-2.3a = 196.64

By multiplying both sides by -2.3, we obtain:

a ≈ 85.5

We can round this up to 86 as "a" denotes the quantity of adult tickets that were sold. As a result, 86 adult tickets were sold on that particular day.

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Answer:

.002 or

2x10^-3

Step-by-step explanation:

make sure the exponents match

8 x 10^-3 =

.008 × 10^-3

(.008 × 10^-6) ÷ (4 x 10^-6)

10^-6 cancels out

.008 ÷ 4 = .002

or

2x10^-3

Answer:

121.7

Step-by-step explanation:

Answer:

the answer is 121.7

Step-by-step explanation:

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

Find liters per day by dividing the amount made by the number of days :

10 liters / 2 days = 5 liters per day.

Find how much more he needs to make by subtracting the amount made from the total he wants:

15 liters - 10 liters = 5 liters more needed.

Divide amount needed by time:

5/5 = 1

He will need to spend 1 more day, which means he will spend a total of 3 days to make 15 liters.

Answer:

Hello!

When solving the equation \(|2x + 2| = 10\) , your answer would be...

\(x=4,-6\)

Step-by-step explanation:

Find all solutions for x by changing the absolute value into the positive and negative components

Hope this helps!!

63x+54b

3ac+bc

2xy+11zy

Answer:

thx

Step-by-step explanation:

srdhtfgjbnxdtcfjghvbnszxdfcghv bn

\(y = {x}^{3} + {x}^{2} + 1 \\ y = {x}^{5} + 1 \\ y - 1 = {x}^{5} \)

The correct option to represents downloads and rentals this person purchases is, (6, 14) and (8, 12).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A digital download, x, costs $3 and a digital rental, y, costs $2 for a song. a person has $48 maximum to spend in a month.

Now, Let (x, y) represent number of downloads and rentals this person purchases.

Hence, We can formulate;

⇒ 3x + 2y ≤ $48

So, We can check all the options which satisfy the above equation.

By option C; (x, y) = (6, 14)

⇒ 3x + 2y ≤ $48

⇒ 3×6+ 2×14 ≤ $48

⇒ 18 + 28 ≤ 48

⇒ 46 ≤ 48

Hence, This option satisfy the equation.

By option D; (x, y) = (8, 12)

⇒ $3x + $2y ≤ $48

⇒ 3×8 + 2×12 ≤ 48

⇒ 24 + 24 ≤ 48

⇒ 48 = 48

Thus, It satisfy the equation.

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The general solution to the given initial value problem is obtained by taking the inverse Laplace transform of Y(s), which is determined using partial fraction decomposition and inverse Laplace transform techniques.

To solve the given initial value problem (IVP) d²y/dt² + 81y = δ(t – kn), y(0) = 0, y'(0) = 8, we can use the Laplace transform.

Taking the Laplace transform of the differential equation, we get:

s²Y(s) - sy(0) - y'(0) + 81Y(s) = e^(-ks) / s

Substituting the initial conditions y(0) = 0 and y'(0) = 8, we have:

s²Y(s) - 8s + 81Y(s) = e^(-ks) / s

Rearranging the equation, we get:

(s² + 81)Y(s) = e^(-ks) / s + 8s

Dividing both sides by (s² + 81), we have:

Y(s) = (e^(-ks) / s + 8s) / (s² + 81)

Using partial fraction decomposition and inverse Laplace transform techniques, we can find the expression for Y(s) in terms of t.

Finally, the general solution y(t) is obtained by taking the inverse Laplace transform of Y(s).

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Answer:

A

Step-by-step explanation:

the exact number is 1,000 miles per hour

so the closest answer is A

An appropriate display of the data is shown in the graph attached below.

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

For the total number of students, we have:

Total number of students = 45 + 55 + 15 + 40 + 10 + 15

Total number of students = 180

Beach % = 45/180 × 100 = 25%.

Amusement park % = 55/180 × 100 = 30.6 ≈ 31%.

Camping/Hiking % = 15/180 × 100 = 8.3 ≈ 8%.

National park % = 40/180 × 100 = 22.2 ≈ 22%.

Museum Tour % = 10/180 × 100 = 5.6 ≈ 6%.

Other % = 15/180 × 100 = 8.3 ≈ 8%.

In this scenario, we would use an Excel worksheet to plot the given data in a pie chart in order to compare each vacation category to the whole.

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Answer:

72

Step-by-step explanation:

Given that :

Triangle is right angled ;

Leg length = 21 ; hypotenus = 75 ; Length of missing leg =?

From Pythagoras :

Length of leg 2 = sqrt[(hypotenus )² - (length of leg1)²]

Let length of leg 2 = x

x = sqrt[(75 ² - 21²)]

x = sqrt(5625 - 441)

x = sqrt(5184)

x = 72

A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.

Answer:

15.8

74.2

Step-by-step explanation:

Call the two angles A and B

A = B + 58.4              Substitute for A

A + B =90

B + 58.4 + B = 90      Combine like terms  

2B + 58.4 = 90          Subtract 58.4

2B = 90 - 58.4

2B = 31.6                    Divide by 2

B = 15.8

A = 15.8 + 58.4           Fin A

A = 74.2

Answer: (3.2, 3.6)

Step-by-step explanation: To find the ordered pair of solutions for the system of equations, we need to solve for x and y.

From the first equation, we get:

x = 2y - 4

Substituting this expression for x into the second equation, we get:

2(2y - 4) + y = 10

Simplifying, we get:

5y - 8 = 10

Adding 8 to both sides, we get:

5y = 18

Dividing both sides by 5, we get:

y = 3.6

Substituting this value of y into the expression we found for x earlier, we get:

x = 2(3.6) - 4 = 3.2

Therefore, the ordered pair of solutions for the system of equations is (3.2, 3.6).

Answer:

B

Step-by-step explanation:

The solution to a system of equation is when two lines pass and intersect ona specific point. Here we are looking for (0,1).

we can see b intersects on (0,1) so that is out answer.

Answer:

Same right here

this is the answer gimme brainliest

The rate of growth of revenue when 420 units have been sold is R'(420) = R'(350)..

Revenue from selling x units = R(x). Also, sales are increasing at a rate of 70 per day. That means if x units are sold today, then tomorrow, the units sold would be (x + 70) units. Rate of increasing sales = 70 per day. Now, when 420 units have been sold:

Initial units sold = x = 420 - 70 = 350 units

Total units sold = 420 units

Number of units sold today = 420 - 350 = 70 units

Now, Revenue generated from 350 units of the item = R(350)

Revenue generated from 420 units of the item = R(420)

Rate of growth of revenue when 420 units have been sold = R'(420)\

From the definition of the derivative:

R'(x) = lim_ {h→0} {R(x+h) - R(x)}/{h}

R'(420) = lim_ {h→0} {R(420+h) - R(420)}/{h}

R(420) = R(350 + 70) = R(350) + R'(350) * (70)And, R(420 + h)

= R(350 + 70 + h) = R(350) + R'(350) * (70 + h), Using these equations,

R'(420) = lim_ {h→0} {R(350) + R'(350) * (70 + h) - R(350) - R'(350) * (70)}/{h}

= lim_ {h→0} {R'(350) * h}/{h}

= R'(350)

Thus, the rate of growth of revenue when 420 units have been sold is R'(420) = R'(350).

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Answer:

Step-by-step explanation:

The answer as I believe is H.

I just used the rise/run method, so you’ll go six up and 5 to the left ( the answer is negative because you’re moving to the left).

Hope this helps

Answer:

3

Step-by-step explanation:

0.1 rounds to 0 and 0.04 also rounds to zero. Therefore, the answer is 3.

Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

To find out how far she will have run in total after 16 days, we can use the formula for calculating compound interest:

A = P(1 + r/100)^n

Where:

A = Total distance run after n days

P = Initial distance (4.8 kilometers)

r = Rate of increase per day (6.9%)

n = Number of days (16)

Plugging in the given values, we can calculate the total distance:

A = 4.8(1 + 6.9/100)^16

Using a calculator or performing the calculations step by step, we get:

A ≈ 4.8(1.069)^16 ≈ 4.8(2.092473)^16 ≈ 4.8(2.628)

A ≈ 12.6144

Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.

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The simplified expression is (-187.584x + 287.6672) / 6.8, which is equivalent to option A: -2.84x - 1.66.

To simplify the expression 5.3x - 8.14 / 3.6x - 9.8, we can first simplify the division by finding a common denominator for the fractions.

The common denominator for 3.6x and 9.8 is 3.6x * 9.8 = 35.28x.

Next, we can rewrite the expression using the common denominator:
5.3x * (35.28x/35.28x) - 8.14 * (35.28x/35.28x) / 3.6x * (35.28x/35.28x) - 9.8 * (35.28x/35.28x)

Simplifying further, we get:
(5.3 * 35.28x^2 - 8.14 * 35.28x) / (3.6 * 35.28x - 9.8 * 35.28x)

Now, we can simplify the numerator:
(187.584x^2 - 287.6672x) / (-6.8x)

Factoring out an x from the numerator, we have:
x(187.584x - 287.6672) / (-6.8x)

Finally, we can cancel out the x terms:
(187.584x - 287.6672) / -6.8

Therefore, the simplified expression is (-187.584x + 287.6672) / 6.8, which is equivalent to option A: -2.84x - 1.66.

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We discovered that a10 = 207 after answering the presented question using arithmetic progression.

What is Arithmetic Progression?

Arithmetic Progression (AP) is a numerical series in which the difference between any two consecutive integers is a constant value. Arithmetic Sequence is another name for it.

Solution:

9,15,25..............

15-9 = 6

25-15 = 10

a4 - 25 = 14 => a4 = 39

a5-39 = 18 => a5 = 57

a6-57 = 22 => a6 = 79

a7-79 = 26 => a7 = 105

a8 - 105 = 30 => a8 = 135

...

...

...

a10 - 169 = 38 => a10 = 207

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