find the derivative: y={ (3x+1)cos(2x) } / e^2x​

Answer:

0.003*10=0.03

0.3*10=3

30x10=300

300x10=3000

Step-by-step explanation:

Multiply each by 10

Answer:

0.03 , 3, 300, 3,000

Step-by-step explanation:

every time you multiply a decimal by 10 you move the decimal to the right once , on a whole number you just add another zero

Answer:

x  is 22

Step-by-step explanation:

because it is

P(a purple marble then a white marble) is 6/105 ⇒ 1st answer

* Lets explain how to solve the problem

- There are 2 green marbles

- There are 7 blue marbles

- There are 3 white marbles

- There are 4 purple marbles

- Once a marble is drawn, it is NOT replaced

- We need to find P(a purple marble then a white marble)

* At first lets find the total number of marbles by adding all color

∵ There are 2 green , 4 purple , 3 white and 7 blue

∴ The total number of marbles = 2 + 4 + 3 + 7 = 16

∴ There are  16 marbles in the bag

∵ Probability = number of events/number of all outcomes

∵ There are 4 purple marbles

∴ The probability of chosen a purple marble is P(purple) = 4/15

∵ Once a marble is drawn, it is NOT replaced

∴ The total number of marbles = 15 - 1 = 14 marbles

∵ The number of white marbles is 3

∴ The probability of chosen a white marble is P(white) = 3/14

∵ P(a purple marble then a white marble) = P(purple) . P(white)

∵ P(purple) = 4/15

∵ P(white) = 3/14

∴ P(a purple marble then a white marble) = (4/15)(3/14) = 6/105

* P(a purple marble then a white marble) is 6/105

Answer:

7.256277.1768.2.46717

Step-by-step explanation:

hulaan mo nlng

Answer:

13.5

Step-by-step explanation:

Hello!

Here is your solution after dividing the given decimals.

\(0.554\) ÷ \(0.041\) = \(13.51219\) ← (There is a line passing over all numbers to the right side of the decimal.)

In summary, the final answer is 13.5 ← (Line over 5)

Hope this helps!

Answer:

(100/500) *200 =40%

Step-by-step explanation:

The area of the obtuse triangle is 34 square feet with a base of 10 ft and height of 6.8 ft.

To find the area of the obtuse triangle, we can use the formula A = (1/2) * base * height. Let's denote the unknown part of the base as x.

In the given triangle, we have the width of the obtuse angle triangle as 10 ft, the height (perpendicular) as 6.8 ft, and the unknown part of the base as x.

Using the formula, we can calculate the area as:

A = (1/2) * (10 + x) * 6.8

Simplifying this expression, we get:

A = 3.4(10 + x)

Now, we need to determine the value of x. From the given information, we know that the width of the obtuse angle triangle is 10 ft. This means the sum of the two parts of the base is 10 ft. Therefore, we can write the equation:

x + 10 = 10

Solving for x, we find:

x = 0

Since x = 0, it means that one part of the base has a length of 0 ft. Therefore, the entire base is formed by the width of the obtuse angle triangle, which is 10 ft.

Now, substituting this value of x back into the area formula, we have:

A = 3.4(10 + 0)

A = 3.4 * 10

A = 34 square feet

Hence, the area of the obtuse triangle is 34 square feet.

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The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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Answer:

C. 139°

Step-by-step explanation:

Given:

m<A = 62°

m<B = 77°

Required:

Find m<1

Solution:

Since ∆ABC is similar to ∆DEF, therefore:

<A ≅ <D, which means m<D = 62°

<B ≅ <E, which means m<E = 77°

<C ≅ <F

Therefore, based on exterior angle theorem:

m<1 = m<D + m<E

m<1 = 62° + 77° (substitution)

m<1 = 139°

Answer:

am confused

Step-by-step explanation:

Step-by-step explanation:

sorry Im not sure what the question is

The circumference of the top of the shade is equal to 56.56 inches.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr

Where:

Substituting the given parameters into the circumference of a circle formula, we have the following;

Circumference of this circle, C = 2 × 3.142 × 9

Circumference of this circle, C = 56.56 inches.

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There are 9444 men and 24555 females are present.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Total students = 34000

For every 5 male students there are 13 female students.

So, the number men are

= 5/18 x 34000

= 9444

and, number of women

= 13/ 18 x 34000

= 24, 555.

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The question attached here is in other language whose translation is given below.

In a school for every 5 male students there are 13 female students. If the total number of students is 34,000, how many men and women are there?

Answer:

x= -100

y= 100

Step-by-step explanation:

Answer: x= -100

y= 100

Step-by-step explanation:

Answer:

(0,5) (-5,0) (-5,10) (-10,5)

Step-by-step explanation:

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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Answer:

To make $175, he has to sell 644 hotdogs.

Step-by-step explanation:

Lets do this together step by step.

To calculate the cost of a single hot dog, divide the profit recieved by the number of hot dogs.

So that would be 14/56 which would result in $0.25.

Now we know that 1 hot dog = 25 cents.

Now, all of the money we receive ( $175) comes from selling a certain number of hot dogs.  

We can see that in order to calculate how many hotdogs we could buy with this sum of money, we would need to divide the total by the price of each hot dog.

175/0.25 = 700 ( Thats quite a lot.)

700-56 =644

He has to sell 644 hotdogs to earn $175.

Step-by-step explanation:

the other answer is absolutely correct.

just the last part was not fully explained :

the question was how many additional hot dogs have to be sold to earn $175 in total ?

to make $175, 700 hot dogs have to be sold.

but 56 have been sold already (for the initial $14 earnings).

so, 700 - 56 = 644 additional hot dogs have to be sold.

In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy  the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).

Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.

From the question, p = number of pounds Juan will buy.

candy=costs $8 per pound

$20/$4 = 5 pounds

p>5

at least 5 pounds

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Answer:(4x^2 + y^2)(2x + y)(2x - y)

Step-by-step explanation:

16x^4 - y^4

= (4x2)^2 - (y^2)^2

= (4x^2 +y^2)(4x^2 - y^2)

=(4x^2 + y^2)( (2x)^2 -y^2)

= (4x^2 + y^2)(2x + y)(2x - y).

Answer:

games=$483

system=$161

Step-by-step explanation:

Answer: the cost of the system is $166 and the cost of the games is $498.

Step-by-step explanation:

Step-by-step explanation:

the expression is worth 5 over 124

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

0

1

2

2.

3

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

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Answer:

a)12

b)4

c)6

d)10

e)36

f)84

g)45

h)4

Answer:

3 18/19

Step-by-step explanation:

7 1/2 ÷ 1 9/10 =

= 15/2 × 10/19

= 150/38

= 75/19

= 3 18/19

The equation of the relationship is f(200) = 0.75 * 200

From the question, we have the following parameters that can be used in our computation:

Total number of drinks = 200

Cost of each drink = 0.75

Using the above as a guide, we have the following:

f(x) = Cost of each drink * Total number of drinks

Where

f(x) = Total cost

Substitute the known values in the above equation, so, we have the following representation

f(200) = 0.75 * 200

Hence, the equation is f(200) = 0.75 * 200

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Answer:

17/16 =x

Step-by-step explanation:

The triangle is a right triangle so we can use Pythagorean theorem

a^2+b^2 = c^2

x^2 + 9^2 = (x+8)^2

FOIL

x^2+81=x^2+16x+64

Subtract x^2 from each side

81 = 16x+64

Subtract 64 from each side

81 -64 = 16x+64-64

17 =16x

Divide by 16

17/16 =x

Answer:

0.38 < 0.70

Step-by-step explanation:

Answer:

do u still need help?

Step-by-step explanation: