A model for a certain population P() is given by the initial value problem = P(10-1 - 10-5P), PO) = 500, where t is measured in months. (a) What is the limiting value of the population? (b) At what time (i.e., after how many months) will the populaton be equal to one tenth of the limiting value in (a)? (Do not round any numbers for this part. You work should be all symbolic.)

Answer:

nth term: n+6

Step-by-step explanation:

a1 gives -7 and a2 gives -1. Let's compare these two numbers. From -7 to -1, we need a +6. Since -7 + 6 = -1.

a2 to a3, -1 + 6 = 5

a3 to a4, -5 + 6 = 11

Jenifer can paint a room in 10 hours. When Carl helps the time is reduced to 6 hours.

Answer:

10 hours is Jennifer or 12

Step-by-step explanation:

Answer:

6. 26. 7. 34

Step-by-step explanation:

6.) 13+13=26. 7.) 17+17=34

Answer:

$5500

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you're referring to moving the decimal point five places to the left, your answer should be

.0074138

If you're referring to the right, your answer should be

74138000.

Answer:

C

Step-by-step explanation:

All you do is take the number choices and plug it into the equation. For example if you take A and plug it in the equation would look like -5(-5) < 25 and -5 times -5 is 25 so you know 25 is equal to 25 not less than.

If you plug in C you get -5(-4) < 25 and -5 times -4 is 20 and 20 is indeed less than 25

The probability that a randomly dealt 6-card hand contains all hearts is approximately 0.0000844, or about 0.00844%.

To calculate the probability of a randomly dealt 6-card hand containing all hearts, we need to determine the number of favorable outcomes and the total number of possible outcomes.

Favorable outcomes: A 6-card hand containing all hearts consists of 6 hearts from the deck.

There are 13 hearts in a standard deck of 52 cards, so we can choose 6 hearts from the 13 available. This can be calculated using combinations:

Number of favorable outcomes = C(13, 6) = 13! / (6! × (13 - 6)!) = 13! / (6! × 7!) = 1716

Total number of possible outcomes: The total number of 6-card hands that can be dealt from a standard deck of 52 cards is C(52, 6):

Number of possible outcomes = C(52, 6) = 52! / (6! × (52 - 6)!) = 52! / (6! × 46!) = 20358520

Therefore, the probability of a randomly dealt 6-card hand containing all hearts is:

Probability = Number of favorable outcomes / Number of possible outcomes = 1716 / 20358520 ≈ 0.0000844

So, the probability is approximately 0.0000844, or about 0.00844%.

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Answer:

The f(x) domain is the set of all values for the function and the function spectrum is the set of all values for which f is defined.

Step-by-step explanation:

Answer:

Domain = all real numbers

Range = y ≥ -4

Step-by-step explanation:

Domain is the x-values, and for parabolas it is almost always all real numbers.

Range is the y-values, and the lowest it gets is -4.

Answer:

Option C

Step-by-step explanation:

We will analyze the figure and note down the properties given in the figure,

1). LK is a diameter so this line (chord) divides the circle into two arcs measuring 180°.

m(arc LJK) = m(arc LK) = 180°

2). m(∠JKL) = 28°

Therefore, by the property inscribed angle and intercepted arcs,

Intercepted arc (JL) = 2 × (Inscribed angle JKL)

m(arc JL) = 2(26°)

               = 52°

Now we will use these two points to get the measure of arc JK.

m(arc JK) + m(arc LK) + m(arc JL) = 360°

m(arc JK) + 180° + 52° = 360°

m(arc JK) = 360° - 232°

                = 128°

Option C will be the correct option.

Answer:

Step-by-step explanation:

i think its C

The linear feet of steel cable that can be produced is approximately 1,469 feet.

To find the linear feet of steel cable that can be produced, we need to calculate the volume of the block of steel and then consider the efficiency of the extrusion process.

1. Cross-sectional area of the block:

Cross-sectional area = (16 in.) * (16 in.) = 256 in²

Converted to square feet: 256 in² * 0.00694 ft²/in² = 1.77778 ft²

2. Volume of the block:

Volume = Cross-sectional area * Length = 1.77778 ft² * 10 ft = 17.7778 ft³

3. Usable volume after considering the efficiency:

Usable volume = Efficiency * Volume = 0.94 * 17.7778 ft³ = 16.7044 ft³

4. Cross-sectional area of the cable:

Cross-sectional area = π * (0.85 in.)²

Converted to square feet: Cross-sectional area = π * (0.85 in.)² / 144 in²/ft²

5. Linear feet of steel cable produced:

Linear feet = Usable volume / Cross-sectional area of the cable

Linear feet = 16.7044 ft³ / (π * (0.85 in.)² / 144 in²/ft²) = 1468.672 ft

Rounded to the nearest foot, the result is approximately 1,469 feet.

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Sum of two interiors =Exterior

Use simple way

Angle beside x

Measure of x

Answer:

x = 44°

Step-by-step explanation:

According to the Exterior Angle Theorem of a triangle, the external angle is equal to the sum of the two interior opposite angles of a triangle.  

This is because the interior angles of a triangle sum to 180° and angles on a straight line sum to 180°.

⇒ x = ∠CAB + ∠BCA

⇒ x = 14° + 30°

⇒ x = 44°

Proof

Interior angles of a triangle sum to 180°

⇒ ∠CAB + ∠ABC + ∠BCA = 180°

⇒ 14° + ∠ABC + 30° = 180°

⇒ ∠ABC = 180° - 14° - 30°

⇒ ∠ABC = 136°

Angles on a straight line sum to 180°

⇒ ∠ABC + x = 180°

⇒ 136° + x = 180°

⇒ x = 180° - 136°

⇒ x = 44°

Answer:

I honestly am very confused

Step-by-step explanation:

The probability of winning at least one prize when buying one ticket each month for 5-months is (c) 0.44.

In order to calculate the probability of winning at least one prize when buying one ticket each month for five months, we use the complement rule. The complement of winning at least one prize is not winning any prize.

The probability of not winning any prize in a single month is 1 - 0.11 = 0.89 (because the probability of winning a prize is given as 0.11),

Since the events of not winning a prize in each month are independent, the probability of not winning a prize in all five months is (0.89)⁵,

So, the probability of winning at least one prize is 1 - (0.89)⁵ ≈ 1 - 0.5570 ≈ 0.443 ≈ 0.44,

Therefore, the correct option is (c).

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The given question is incomplete, the complete question is

If you buy one ticket in the Provincial Lottery, then the probability that you will win a prize is 0.11. If you buy one ticket each month for five months,

What is the probability that you will win at least one prize?

(a) 0.55

(b) 0.50

(c) 0.44

(d) 0.45

(e) 0.56

Answer:

Step-by-step explanation:

Answer: -6,-7,-8 etc.

Step-by-step explanation: -2 times -6 = 12 bc  a negative times a negative = a positive, and -2×-5=10 which is equal to 10 so if we try -6 it gives us 12 which is greater than 10.

Hope this helps!

Answer:

[tex]3n + 7 = 52 \\ 3n = 52 - 7 \\ 3n = 45 \\ n = \frac{45}{3} \\ n = 15[/tex]

Graph is not inserted.

Answer: Online discussions have a better portrayal of other cultures

Step-by-step explanation:

Unless you are very antisocial then the only good thing that an online group shares is being able to stay safe from corona virus and the ability to speak with each other from different perspectives. Lets say hypothetically I was in a bear watching group where everybody took pictures and discussed bears. If I lived in North Michigan I would see black bears and brown bears. If I lived in more of an arctic region I would see polar bears. You can see how this would throw in a little more content to discuss. Which bears are bigger? Which bears live longer? Which bears have heavier coats? This obviously does not only apply to bears. Books, sports, video games, cars, and more all have different miniature cultures in different states or countries.

Answer:

Facilitating an online conversation may require even more work, so that participants continue engaging with one  another online.

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

0.75X = 150

X = 200

so 200 is the answer

Answer:

200

150 is 75% of 200

Step-by-step explanation:

150 is 75% of what number

we can change this so it is simpler to understand.

150 = 75% of x

whenever it says "of" it is telling you to multiply

150 = 75% * x

now we simplify

150 = 75/100 * x

150 = 75x/100

*100       *100

15000 = 75x

/75          /75

200  = x

150 is 75% of 200

Answer: 26ft

Step-by-step explanation:

Answer:

2/6b-7

Step-by-step explanation:

Answer:

1/3(b-21)

hope it helps :)

It is proved that if f has a zero at 0 and if Ref(z) > 0 for every ze aD(0; 1), then f has a pole in D(0; 1).

The problem is based on Complex Analysis.

Let U CC be a region containing D(0; 1) and let f be a meromorphic function on U, which has no zeros and no poles on aD(0; 1).

If f has a zero at 0 and if Ref(z) > 0 for every ze aD(0; 1), we need to prove that f has a pole in D(0; 1).

We know that f is meromorphic function on U and we are given that it has a zero at 0. So, we can write the Laurent expansion of f around 0 as: f(z) = anzn+ ... + a1z + a0 + b1z + ... where an ≠ 0 and the expansion is valid in a deleted neighborhood of z=0. This implies that f(z) has a pole of order m at 0 where m is the largest non-negative integer such that am ≠ 0.

Suppose that m = 0 and f(z) has a removable singularity at 0 then by Riemann’s theorem f(z) is bounded in some deleted neighborhood of z = 0 which implies that Ref(z) ≤ M, a contradiction to Ref(z) > 0 for every ze aD(0; 1).

Hence, f(z) has a pole at 0. Therefore, f has a pole in D(0; 1). Hence, we have proved that if f has a zero at 0 and if Ref(z) > 0 for every ze aD(0; 1), then f has a pole in D(0; 1).

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Answer:

x + y [tex]\leq 6[/tex]

Step-by-step explanation:

The amount of Oranges (x) and the amount of Mangoes (y) will add up to be less than or equal to 6.  

This condition is represented by the inequality x + y ≤ 6

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

In this case, Trish wants to buy x oranges and y mangoes, and she intends to carry them in her bag.

Her bag can hold a maximum of 6 fruits.

Since she wants to buy both types of fruit, the total number of fruits must be less than or equal to 6.

The inequality to represent this situation is:

x + y ≤ 6

This inequality represents that the sum of the number of oranges and mangoes Trish buys should be less than or equal to 6, which is the maximum number of fruits her bag can hold.

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Answer:

$1,324

Step-by-step explanation:

$8.50 * 65 = $552.50. $601.50 - $552.50 = $49. So the flat fee would be $49.

$8.50* 150 = $1,275. With the flat fee it would be $1,275+$49 = $1,324.

To determine which polynomial is prime, we need to check if it can be factored into simpler polynomials or if it is irreducible.

Let's analyze the given polynomials:

3x^3 + 3x^2 - 2x - 2

3x^3 - 2x^2 + 3x - 4

4x^3 + 2x^2 + 6x + 3

4x^3 + 4x^2 - 3x - 3

To determine if these polynomials are prime, we need to check if they can be factored further. If they cannot be factored into simpler polynomials, they are considered prime.

The polynomial 3x^3 + 3x^2 - 2x - 2 can be factored as (x + 1)(3x^2 - 2).

The polynomial 3x^3 - 2x^2 + 3x - 4 cannot be factored further.

The polynomial 4x^3 + 2x^2 + 6x + 3 can be factored as (2x + 1)(2x^2 + 3).

The polynomial 4x^3 + 4x^2 - 3x - 3 can be factored as (2x + 1)(2x^2 - 3).

Based on the factorizations, the only polynomial that is prime (cannot be factored further) is 3x^3 - 2x^2 + 3x - 4.

Therefore, the polynomial 3x^3 - 2x^2 + 3x - 4 is prime.

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Answer:

x - 3 > 10

There were more than

13

board games in Anne's cabinet to start.

Step-by-step explanation:

The variable x represents how many board games were in Anne's cabinet to start. Since she has already picked out 3 board games to bring, the expression x–3 represents how many board games are still in the cabinet.

And, since Anne has more than 10 board games still in her cabinet, x–3 must be greater than 10.

This inequality shows the relationship.

x–3>10

Now, solve for x.

x–3

> 10

x–3+3

> 10+3 Add 3 to both sides

x

> 13 Simplify

So, there were more than 13 board games in Anne's cabinet to start.

The probability that the company will find 2 or fewer defective products in this batch is approximately 0.995. The probability that 4 or more defective products are found in this batch is approximately 0.005. The decision to stop production would depend on various factors and cannot be determined solely based on finding 5 defective products.

Yes, this situation can be described as a binomial experiment. A binomial experiment has the following characteristics:

To calculate the probability that the company will find 2 or fewer defective products in this batch, we need to calculate the probabilities for each possible outcome (0, 1, and 2 defective products) and sum them up.

Let's denote the probability of finding a defective product as p, which is 3.1% or 0.031 in decimal form.

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\\P(X = 0) = C(25, 0) * p^0 * (1 - p)^{25 - 0}\\P(X = 1) = C(25, 1) * p^1 * (1 - p)^{25 - 1}\\P(X = 2) = C(25, 2) * p^2 * (1 - p)^{25 - 2}[/tex]

Using the binomial coefficient formula C(n, r) = n! / (r!(n - r)!), we can calculate these probabilities:

[tex]P(X = 0) = C(25, 0) * 0.031^0 * (1 - 0.031)^{25 - 0}\\ = 1 * 1 * (0.969)^{25}\\ = 0.643\\P(X = 1) = C(25, 1) * 0.031^1 * (1 - 0.031)^{25 - 1}\\ = 25 * 0.031 * (0.969)^{24}\\ = 0.295\\P(X = 2) = C(25, 2) * 0.031^2 * (1 - 0.031)^{25 - 2}\\ = 300 * 0.031^2 * (0.969)^{23}\\ = 0.057\\P(X \leq 2) = 0.643 + 0.295 + 0.057\\ = 0.995[/tex]

Therefore, the probability that the company will find 2 or fewer defective products in this batch is approximately 0.995.

To calculate the probability that 4 or more defective products are found in this batch, we can use the complement rule:

[tex]P(X \geq 4) = 1 - P(X \leq 3)\\P(X = 3) = C(25, 3) * 0.031^3 * (1 - 0.031)^{25 - 3}\\ = 2300 * 0.031^3 * (0.969)^{22}\\ = 0.040\\P(X \geq 4) = 1 - P(X \leq 3)\\ = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3))\\ = 1 - (0.643 + 0.295 + 0.057 + 0.040)\\ = 1 - 0.995\\ = 0.005[/tex]

Therefore, the probability that 4 or more defective products are found in this batch is approximately 0.005.

If the company finds 5 defective products in this batch, it does not necessarily mean that they should stop production. The decision to stop production would depend on various factors such as the acceptable level of defects, the cost of production, the impact on customer satisfaction, etc. It would require a more comprehensive analysis to make a decision in this regard.

Complete Question:

A company is reviewing a batch of 25 products to determine if any are defective. On average, 3.1% of products are defective. Does this situation describe a binomial experiment, and why? What is the probability that the company will find 2 or fewer defective products in this batch? What is the probability that 4 or more defective products are found in this batch? If the company finds 5 defective products in this batch, should the company stop production?

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Answer:

Step-by-step explanation:

the first one cant be a triangle

im pretty sure the second one can

the third one can

im pretty sure the fourth one cant

Answer:

The missing angle is 68 degrees

Step-by-step explanation:

Answer:

The answer is A. (an even number)

Step-by-step explanation:

2 x 27 is equivalent to 54 and 54 is an even number.