Find the value of x. round to the nearest tenth

y(x) = tan(x + C) where C is an arbitrary constant of integration. Thus, the equilibrium solutions are y = 1 and y = -1. The non-equilibrium solutions are the values of y that make y' not equal to 0.

y(x) = tan(x + C)

Where C is an arbitrary constant of integration.

The solution y(x) = tan(x + C) is a family of functions indexed by the arbitrary constant C. The constant C cannot be determined from the information given in the problem, and so the general solution contains all possible specific solutions.

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Answer:

Y-Intercept (-3,4) , (19,7). (−3,4) ( - 3 , 4 ) , (19,7) ( 19 , 7 ). Find the value of the slope.

Step-by-step explanation:

Answer:   30 / 6

                =5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

step by step explanation

Answer:

6

Step-by-step explanation:

3 x 2 x 1

first strip you can have 3 options

second only 2 options left

last one, only 1 choice

RBY

RYB

BRY

BYR

YRB

YBR

Answer:

6 flags

Step-by-step explanation:

The flag must have stripes of 3 different colors.

Ways to arrange each stripe :

Stripe 1 x Stripe 2 x Stripe 3

Answer:

860

Step-by-step explanation:

32% of 860 = 275.20

Answer: B: 54

Step-by-step explanation:

(a) Correct answer is Approximately normal because n less than or equals 0.05 Upper N and np left parenthesis 1 minus p right parenthesis greater than or equals 10.

(b) The value of P (X ≥ 770) is 0.0143.

(c) The value of P (X ≤ 720) is 0.0708.

Let X = number of elements with a particular characteristic.

The variable p is defined as the population proportion of elements with the particular characteristic.

The value of p is:

p = 0.74.

A sample of size, n = 1000 is selected from a population with this characteristic.

(a)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

               μ = p

The standard deviation of this sampling distribution of sample proportion is:

                  σ = \(\sqrt \frac{p(1-p)}{n}\)

The sample selected is of size, n = 1000 > 30.

Thus, according to the central limit theorem the distribution of  is Normal, i.e. .

p~ N(μ = 0.74, σ =0.0139)

Thus the correct option is (A).

(b) We need to compute the value of P (X ≥ 770).

Apply continuity correction:

P (X ≥ 770) = P (X > 770 + 0.50)

                  = P (X > 770.50)

Then,

   p > 770.5/1000 = 0.7705

Compute the value of  P( p > 0.7705) as follows:

P( p > 0.7705) = P(p -μ/σ > 0.7705 - 0.74/0.0139)

                       = P( Z > 2.19)

                       = 1 - P( Z< 2.19)

                       = 1 - 0.98574

                       = 0.01426

                       ≈ 0.0143

Thus, the value of P (X ≥ 770) is 0.0143.

(c)

We need to compute the value of P (X ≤ 720).

Apply continuity correction:

P (X ≤ 720) = P (X < 720 - 0.50)

                  = P (X < 719.50)

Then

Compute the value of  as follows:

P( p < 0.7195) = P(p -μ/σ > 0.7705 - 0.74/0.0139)

                       = P(Z < - 1.47)

                       = 1 - P(Z < 1.47)

                       = 1 - 0.92922

                       = 0.07078

                        ≈ 0.0708

Thus, the value of P (X ≤ 720) is 0.0708.

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Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

which is the same as saying

Step-by-step explanation:

Let's use "x" to represent the number of chocolate cakes sold and "y" to represent the number of vanilla cakes sold.

From the problem statement, we know that the bakery sold a total of 50 cakes, so we can set up an equation:

x + y = 50

We also know that the total sales were $200. If the chocolate cakes sold for $5 each and the vanilla cakes sold for $3 each, we can set up another equation for the total sales:

5x + 3y = 200

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for y in terms of x:

y = 50 - x

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

5x + 3(50 - x) = 200

Simplifying this equation, we get:

2x + 150 = 200

2x = 50

x = 25

So the bakery sold 25 chocolate cakes. To find the number of vanilla cakes sold, we can substitute x = 25 into the equation y = 50 - x:

y = 50 - 25

y = 25

So the bakery also sold 25 vanilla cakes.

Therefore, the bakery sold 25 chocolate cakes and 25 vanilla cakes.

Answer:

ummmmm i think apple?

Step-by-step explanation:

because if 4 equals green and you put the square root of branch in there you will get branch×apple tree+water=apple my bad its green apple

i did it wrong i just redid the question and found the right answer. so if you put branch×square root of 9 apples+apple tree=9 apples right? well yes but if you add branch+square root of 4 more apples you will get in total 13 apples.

Answer:

433345344 Answer

Step-by-step explanation:

To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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Answer: 90 Degrees :)

Step-by-step explanation:

Ur Welcome ;)

The probability at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.

To determine the probability that at least 7 of the puppies will be male, we will have to use the binomial probability formula.

P(X ≥ k) = 1 - P(X < k)

where X is the number of male puppies, P is the probability of a puppy being male and k is the minimum number of male puppies required.

We can solve this problem by finding the probability that 0, 1, 2, 3, 4, 5, or 6 of the puppies are male, and then subtracting that probability from 1. We use the binomial distribution formula to find each of these individual probabilities.

P(X=k) = nCk * pk * (1-p)n-k

where n is the total number of puppies, p is the probability of a puppy being male (0.5), k is the number of male puppies, and nCk is the number of ways to choose k puppies out of n puppies. We'll use a calculator to compute each probability:

P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)

P(X = 0) = 11C0 * 0.5⁰ * (1-0.5)¹¹ = 0.00048828125

P(X = 1) = 11C1 * 0.5¹ * (1-0.5)¹⁰ = 0.00537109375

P(X = 2) = 11C2 * 0.5² * (1-0.5)⁹ = 0.03295898438

P(X = 3) = 11C3 * 0.5³ * (1-0.5)⁸ = 0.1171875

P(X = 4) = 11C4 * 0.5⁴ * (1-0.5)⁷ = 0.24609375

P(X = 5) = 11C5 * 0.5⁵ * (1-0.5)⁶ = 0.35595703125

P(X = 6) = 11C6 * 0.5⁶ * (1-0.5)⁵ = 0.32421875

P(X < 7) = 0.00048828125 + 0.00537109375 + 0.03295898438 + 0.1171875 + 0.24609375 + 0.35595703125 + 0.32421875 = 1 - P(X < 7) = 1 - 1.08184814453 = -0.08184814453 ≈ 0.0805

Therefore, the probability that at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.

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Answer:

I have completed it and attached in the explanation.

Step-by-step explanation:

Answer:

Hie..! Here's the answer

Thanks ✨

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I took the test.

Answer:

13. 23 boat rides; 22 are full, and the first one has 301 passengers.

12. $11,067.50

Given the expression:

sin(135° - 60°)

Let's find the exact value of the expression.

First simplify the expression in the parentheses:

sin(135° - 60°) = sin(75°)

The exact value of sin(75°) is:

Part B.

Given the expression:

sin135° - cos60°

Let's find the exact value.

Apply the reference by finding the equivalent angle in the first quadrant.

We have the following:

Therefore, the exact value of the expression is:

ANSWER:

• Part A.

• Part B.

Answer:

54

Step-by-step explanation:since i helped can i have brainlst please that would be greatly apericated

The division property refers to a fundamental principle in mathematics that allows us to divide both sides of an equation or inequality by the same non-zero value without changing the truth of the statement.

The division property is a fundamental concept in mathematics that stems from the symmetric property of equality. It states that if we have an equation or inequality, we can divide both sides by the same non-zero value to maintain equality or inequality.

For example, if we have the equation 2x = 8, we can apply the division property by dividing both sides by 2. This yields x = 4, which is the solution to the equation. Similarly, in the inequality 3y < 9, we can divide both sides by 3 to obtain y < 3, preserving the direction of the inequality.

The division property is a powerful tool that allows us to simplify equations and inequalities, isolate variables, and solve mathematical problems. However, it is crucial to remember that the division property is only valid when dividing by a non-zero value. Dividing by zero is undefined in mathematics and can lead to errors and contradictions. Therefore, we must exercise caution and ensure we are dividing by a non-zero value when applying the division property.

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Answer:

i think its 12 hours

Step-by-step explanation:

use calculator

Answer:

  F)  1, -1

Step-by-step explanation:

You want the real solutions to |x|² +2|x| -3 = 0.

We can let z = |x|. Then the equation becomes ...

  z² +2z -3 = 0

  (z +3)(z -1) = 0 . . . . . factored

The solutions will be the values of z that make the factors zero:

  z +3 = 0   ⇒   z = -3

  z -1 = 0   ⇒   z = 1

Substituting our definition of z, we have ...

  |x| = -3

The absolute value is never negative, so there are no values of x that satisfy this equation.

Substituting our definition of z, this is ...

  |x| = 1

This is true for x = ±1.

The real solutions to the equation are 1, -1.

Answer:

a) The function has a maximum at  x = 29,59

b) 99,32 %

Step-by-step explanation:

f(x) = -0,11*x² + 6,51*x + 3

Then:

f´(x) = -0,22*x + 6,51

If   f´(x) = 0   then    - 0,22*x + 6,51 = 0

0,22*x = 6,51

x = 6,51/0,22    ⇒     x = 29,59

if we get the second derivative

f´´(x) = - 0,22       f´´(x) < 0   then we have a maximun at x = 29,59

a) the function has a maximum

b) 29,59 years after 2000   ( in 2030 )

c) f(x) = - 0,11*x² + 6,51*x + 3

f(29,59) = - (0,11)* (29,59)² + 6,51*29,59 + 3

f(29,59) = 99,32 %

Answer:

The 49th term is 39.

Step-by-step explanation:

This is a decreasing arithmetic sequence.  We recognize this because the difference from one term to the next is 5.

The general formula needed here is a(n) = a(1) - 5(n - 1)

a(45) = 261 - 5(46 - 1), or

a(45) =  261 - 225 = 39

The 49th term is 39.

Answer:

okay thnx

Step-by-step explanation:

Answer:

a=36

Step-by-step explanation:

18=a/2

×2 ×2

36=a

Imao thanks 4 the free 5 points

Have a good day bro cya

In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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Let's denote the cost of a large pizza as CC and the number of toppings as TT. From the given information, we have the following two scenarios:

A large pizza with 2 toppings costs $13.50.

This can be represented as the ordered pair (2,13.50)(2,13.50).

A large pizza with 5 toppings costs $17.75.

This can be represented as the ordered pair (5,17.75)(5,17.75).

To find the equation representing the situation, we need to determine the additional charge per topping. Let's denote this charge as AA

From the given information, we can set up two equations:

C+2A=13.50C+2A=13.50 (for the first scenario)

C+5A=17.75C+5A=17.75 (for the second scenario)

Solving this system of equations, we find that C=10C=10 and A=1.75A=1.75.

Therefore, the equation representing the situation is C+TA=10+1.75TC+TA=10+1.75T, where CC is the cost of the pizza and TT is the number of toppings.

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