Need help ASAP please !!!!

An equation of the tangent line to the curve [tex]x e^y+y e^x=4[/tex] at the point (0, 4) is [tex]y=-(4+e^4) x+4[/tex].

A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.

Now according to the question;

To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point  [tex]\left.y^{\prime}\right|_{x=0, y=4}[/tex] as-

Consider the given equation;

[tex]x e^y+y e^x=4[/tex]

Differentiate both side with respect to x;

[tex]\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}[/tex]

Now apply product rule;

[tex]\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}[/tex]

Applying exponential and power rule;

[tex]\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}[/tex]

Solve the value of y'

[tex]y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}[/tex]

Now, find the value of slope m.

[tex]m=\left.y^{\prime}\right|_{x=0, y=4}[/tex]

[tex]\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4[/tex]

Now, using the point-slope formula, obtain the line equation as follows.

[tex]\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}[/tex]

Therefore, an equation of the tangent line to the curve is   [tex]y=-(4+e^4) x+4[/tex].

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The ratio strength of the final product is 1:0.4.

One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.

Drug strength = 800mg

whole volume =2ltrs

The ratio of the solution in 1 ltr is = 400 mg

The ratio strength of the solutions is = 1:0.4

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We can form the eq. for y,

→ 6x - y = 2

→ y = 6x - 2

Then the value of x will be,

→ -4x + 3y = 1

→ -4x + 3(6x - 2) = 1

→ -4x + 18x - 6 = 1

→ 14x = 1 + 6

→ x = 7/14

→ [ x = 1/2 ]

Hence, the value of x is 1/2 (or) 0.5.

Now the value of y will be,

→ y = 6x - 2

→ y = 6(1/2) - 2

→ y = 3 - 2

→ [ y = 1 ]

Hence, the value of y is 1.

It is possible to construct a cube with 2000

interlocking cubes depending on the sides for each.

It should be noted that a cube had 6 equal faces. In this case, a cube with 2000 interlocking faces can't be constructed with equal number of faces.

In this case, the sides will be:

= 2000 / 6

= 333.33

In this case, it should be noted each side will be 333.33.

Also, if you want each to be a whole number, this won't be possible.

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9 minutes is the new standard time for the navigator iii.

What is statistics and example?

If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, then

Element            1    2            3         4             5          6  

Mean obs. Time(t) 1.11   3.1    0.895  1.283333 1.565 1.5  

Normal time       1.0545  1.395 0.93975 1.283333 1.33025 1.65   Sum

Standard time   1.240588 1.641176 1.105588  1.509804 1.565 1.941176

   Sum    9.003333

New standard time = 9 minutes

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Answer:

Y= 2475

Step-by-step explanation:

We move 2848 across the = sign so we gotta change the sign

so we going to write it as

-Y= -2475

we want to keep the Y by it self so we going to divide -1 both side and we gets Y = 2475

Answer:

Y= 2475

We move 2848 across the = sign so we gotta change the sign
-Y= -2475

def didnt copy this ;-;

The real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2

2x² + 3 = 4x

2x² + 3 - 4x = 0

2x² - 4x + 3 = 0

∆ = (-4)² - (4 × 2 × 3)

= 16 - 24

∆ = 8

√∆ = √8

= 2√2

x1 = -(-4) - 2√2 / (2 × 2)

or

x2 = -(-4) + 2√2 / (2 × 2)

x1 = 4 - 2√2 / 4

or

x2 = 4 + 2√2 / 4

x1 = (2 - √2) / 2

or

x2 = (2 + √2) / 2

Therefore, the real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2

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The number that could be expected to have cable television will be 138 people.

From the information, survey showed the 8 about of 20 home owners in a neighborhood had cable television

Therefore, when there were 320 homeowners in the neighborhood, the number that could be expected to have cable television will be:

= 8/20 ×320

= 8 × 16

= 128

The number of people will be 128.

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The simplification of the given expression using laws of Indices is; y³z⁷

We want to simplify the expression y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power.

The above can be expressed as;

(y⁻² * z³)/(z⁻⁴ * y⁵)

Collecting like terms gives;

(y⁻²/y⁵) * (z³/z⁻⁴)

= y⁻² ⁺ ⁵ * z³ ⁺ ⁴

= y³z⁷

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Answer:

y^18/z^18

Step-by-step explanation:

Answer:

1805.38

Step-by-step explanation:

hope this helps

Answer:42

Step-by-step explanation:

Hayfa dose 336 jumping jacks in 8 mins so you divide 336 by 8 and that equals 42

Answer:

42 jumping jacks

Step-by-step explanation:

To find how many Hayfa does in a minute divide 336 by 8

➟ 336/8

➟ 42

∴ Hayfa can do 42 jumping jacks in a minute

Answer:

In ascending order:8,10,11,12,13,14,20

N=7

Step-by-step explanation:

Position of median=(N+1/2)th item

=(7+1/2)th item

(8/2)th item

4th item

=:4th item =12

So,12is median quiz score.

Hope this helpful for you.

Based on the baths, nail trims, brush-outs, and ear cleanings the pet groomer gave, for every 5 nails, the groomer gave 3 baths.

The pet groomer gave out a total of 15 nail trims. To find out the service that the pet groomer gave 3 of for every 5 nail trims, find out the number that takes 15 nail trims to 5 nail trims and then use this number to divide the number of the other services given.

The service that comes to a quantity of 3 would be the answer.

= 15 nail trims / 5

= 3

Use 3 to divide the rest. When baths are divided by 3 we get:

= 9 / 3

= 3 baths

In conclusion, for every 5 nail trims, the groomer gave out 3 baths.

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So the percentage would be 9500/15000 = 63.333333333... = 63.3...%

Answer:

-7

Step-by-step explanation:

If you use -7 the LHS will get cancelled.

x + 7 = 19

or, x + 7 - 7 = 19 - 7

or, x = 12

The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.

Qualitative data describes qualities or characteristics. It is collected using questionnaires, interviews, or observation, and frequently appears in narrative form. For example, it could be notes taken during a focus group on the quality of the food at Cafe Mac, or responses from an open-ended questionnaire. Qualitative data may be difficult to precisely measure and analyze. The data may be in the form of descriptive words that can be examined for patterns or meaning, sometimes through the use of coding. Coding allows the researcher to categorize qualitative data to identify themes that correspond with the research questions and to perform quantitative analysis.

Quantitative data is numbers-based, countable, or measurable. Quantitative data is numeric, the result of a measurement, count, or some other mathematical calculation. Qualitative data is descriptive. The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.

The seven characteristics that define relational database are:

Accuracy and Precision

Legitimacy and Validity

Reliability and Consistency

Timeliness and Relevance

Completeness and Comprehensiveness

Availability and Accessibility

Granularity and Uniqueness

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The coordinates of A, B and C are (-1, -8), (0, -7) and (1, -6) respectively.

Here, we are given that A, B and C are coordinates on the line y = x − 7.

Also, we are given the following table for x and y values of A, B and C

x                    -1    0    1

y                    -8  -7   -6

coordinates   A  B  C

The coordinates of a point are written in (x, y) format where x and y are the values of the x and y axis respectively.

Thus, the coordinates of A are (-1, -8)

the coordinates of B are (0, -7)

and the coordinates of C are (1, -6)

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The percentage of the family's text messages did Mrs. Carson is 35 % and Ben is 65 %.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

The Carson family sent 800 text messages last month.

Mrs. Carson sent 280 text messages

Ben sent 520 texts messages.

According to given question we have

Total text messages last month= 800

Mrs. Carson=

[tex]\frac{280}{800}*100\\ \\=35[/tex]

Ben

=

[tex]\frac{520}{800}*100\\ \\=65[/tex]

Therefore, the percentage of the family's text messages did Mrs. Carson is 35 % and Ben is 65 %.

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Answer: 9002.146

Step-by-step explanation:

(9x1000) +2+ (1x0.1)+ (4x0.01) +(6x0.001)=

(9000)+2+(0.1)+(0.04)+(0.006)=

9002+0.1+0.04+0.006=9002.146

Answer:

173, 339.10

Step-by-step explanation:

Move the decimal from 157,581.00 to the left to give you 10% of 15,758.10.

Add 15,758.10 to 157,581.00 to give you the total from last month.

Or, convert 10% to a decimal.

157,781 x 0.10 = 15,758.10

15,758.10 + 157,581 = 173,339.10

Answer:2,549,786 rounded to the nearest million is  3,000,000

Pls give me brainliest if I am rigth

Step-by-step explanation:3,000,000 written as a power of ten is

Answer: 12.5% of 1,340  is 167.5 so Luis made $412.50

Answer: Answer is 6.11

Step-by-step explanation:

Lets solve this equation (2x-1)+4x+(12x+5)=114

step 1: we first add x variables

          ie. 2x + 4x + 12x = 18x

step 2: we add numbers

          ie. -1 + 5 = 4

step 3: now we arrange LHS part

         ie.  18x + 4 = 114

step 4: now move this 4 to right hand side and simplify them

         ie. 18x = 114 - 4 = 110

step 5: now we divide 110 by 18 to get the value of x

         ie. x = 110/18 = 6.11

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Answer:

42

Step-by-step explanation:

210 × 20% = 42

The simplified equation of the given Arithmetic  function (f- g)(x) is:

-x² + 3x + 7.

Arithmetic is a fundamental branch of mathematics that studies the properties of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction.

Addition, subtraction, multiplication, as well as division are the four basic arithmetic operations. There are additional arithmetic operators, such as exponentiation, modulus operations, increment, decrement, and so on. * - The operator for multiplication. As a result, the And operator is not an arithmetic operator.

Given:

f(x) = 3x+1

g(x)=x²-6

(f- g)(x) =

Substituting the value we get:

(f - g)(x) = (3x + 1) - (x² - 6)

= 3x + 1 - x² + 6

= -x² + 3x + 7

The simplified equation of the given Arithmetic  function (f- g)(x) is = -x² + 3x + 7.

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The correct option is D. 2x + 7 is used for solving the equation by substitution.

The following are the two given equations;

4x = 5 - 2y  .......equation 1

y - 2x = 7    .......equation 2;

using substitution mean put the value of one variable from 1 equation into the other.

Consider equation 2;

y - 2x = 7

y = 2x + 7  

Put this in equation 1;

4x = 5 - 2y

4x = 5 - 2(2x + 7)

Simplifying;

4x = 5 - 4x - 14

4x = 9 - 4x

8x = 9

x = 9/8

Therefore, the value of x is obtained as 9/8 for which the equation used is (y = 2x + 7).

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34.12

{thirty four, (34) and, (decimal) twelve hundredths (.12)}.

So it would end up being 3412. Hope i helped!

Mean, median and mode are the three principles of describing data.

Describing data:- Describing data is also called descriptive statistics, that describes the data through several methods such as graphical representations, central tendency, variability. It summarizes the data efficiently, which helps to make any conclusion on that dataset.

The three principles of describing data are-

Thus we can conclude that, mean, median and mode are the three principles of describing data.

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