Provide an appropriate response. Determine the intervals for which the function f(x) = x3 + 18x2 +2, is decreasing. O (-0, -12) and (0) 0 (0, 12) and (12) O (-12,0) O(-5, -12) and (-12, 0)

By the 46th day, there are 400 water lilies in the pond. the estimate you made: a). close to 46 (or exactly right) because it was estimated well.

We know that the regression equation is: y = 3.915(1.106)ˣ and that the pond can hold 400 water lilies.

y = 3.915(1.106)ˣ

Here, y is equal to the number of water lilies the pond can hold.

So, y = 400

And,  x is the required time taken.

So,

400 = 3.915(1.106)ˣ

⇒ (1.106)ˣ = 400/3.915    

⇒ (1.106)ˣ = 102.17

Taking logarithm on both sides, we get

log (1.106)ˣ = log (102.17)

⇒ x log (1.106) = log (102.17) .............. [log aˣ = x loga]

⇒ x = [log (102.17)/log (1.106)]    

⇒ x = 45.92

x ≅ 46

So, the pond will take 46 days to become full.

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Complete question:

Regression equation: y = 3.915(1.106)ˣ . The pond can hold 400 water lilies. by what day will the pond be full? write and solve an equation. the pond will be full by the end of day.

Answer:

b

Step-by-step explanation:

just did it

The number of the smaller cube-shaped boxes that Manuel can fit into the large cube-shaped box is: 64.

Volume of a cube = a³, where a is the edge length of the cube.

Volume of the smaller cube-shaped boxes = a³ = 6³ = 216 in.³

Volume of the larger cube-shaped box = a³ = 24³ = 13,824 in.³

Number of the smaller boxes that will fit into the large box = 13,824/216 = 64 smaller cube-shaped boxes.

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Each of the measurements made must contain the correct number of significant figures, in order to provide more accurate values.

Significant figures, as their name mentions, are those figures that have meaning or validity for the type of measurement that is made. Although in large elements they may not be too necessary, in small elements they are crucial.

Due to the aforementioned, if the measurements are being taken from elements of small sizes, it is possible that all the significant figures available are required, so that the measurement and subsequent calculations are as accurate as possible.

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12345612345612317890

Referring to Exercise 3.39,

(a) f(y|2) for all values of y is f(2|2) = P(Y=2|X=2) = P(X=2, Y=2) / P(X=2) = (1/14) / (3/14) = 1/3

(b) P(Y = 0 | X = 2) = 1

To find f(y|2), we need to first calculate the conditional probability of Y=y given that X=2, which we can do using the joint probability distribution we found in part (a) of Exercise 3.39:
P(Y=y|X=2) = P(X=2, Y=y) / P(X=2)
We know that P(X=2) is equal to the probability of selecting 2 oranges out of 4 fruits, which can be calculated using the hypergeometric distribution:
P(X=2) = (3 choose 2) * (2 choose 0) / (8 choose 4) = 3/14
To find P(X=2, Y=y), we need to consider all the possible combinations of selecting 2 oranges and y apples out of 4 fruits:
P(X=2, Y=0) = (3 choose 2) * (2 choose 0) / (8 choose 4) = 3/14
P(X=2, Y=1) = (3 choose 2) * (2 choose 1) / (8 choose 4) = 3/14
P(X=2, Y=2) = (3 choose 2) * (2 choose 2) / (8 choose 4) = 1/14
Therefore, f(y|2) is:
f(0|2) = P(Y=0|X=2) = P(X=2, Y=0) / P(X=2) = (3/14) / (3/14) = 1
f(1|2) = P(Y=1|X=2) = P(X=2, Y=1) / P(X=2) = (3/14) / (3/14) = 1
f(2|2) = P(Y=2|X=2) = P(X=2, Y=2) / P(X=2) = (1/14) / (3/14) = 1/3
To find P(Y=0|X=2), we can use the conditional probability formula again:
P(Y=0|X=2) = P(X=2, Y=0) / P(X=2) = 3/14 / 3/14 = 1
Therefore, P(Y=0|X=2) = 1.

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Answer:

x=16

Step-by-step explanation:

12x - 200 + 5x =72

+5x. +5x

17x + -200 =72

+200 +200

17x =272

/17 /17

x=16

Answer:

I'm pretty sure it's B

Step-by-step explanation:

Answer:

3/2 times 4/15

Step-by-step explanation:

In division, the quotient times the divisor equals the dividend. This multiplication can be used to check if the math was correct.

Here's an example:

6 / 3 = 2

6 is the dividend, 3 is the divisor, and 2 is the quotient.

2 times 3 is 6, which proves that the quotient times the divisor is the dividend , and it also means that the quotient was correct.

(This example was used because the numbers are nice and easy, so they are good examples for this kind of thing)

\(p < 10-4\\p < 6\)

P<6 is the solution

Be reminded <> change direction when you divide or multiply by a negative number.

The given probabilities are 0.19, 0.38, 0.29, and 0, respectively.Given that the probabilities that an automobile salesperson will sell 0, 1, 2.

The given probabilities are shown in the following table:Number of CarsSoldProbability 0 0.19 1 0.38 2 0.29 3 0

We know that the sum of probabilities of all possible events is 1.

Therefore, the probability of selling 3 cars is 0 since the sum of the probabilities of selling

0, 1, and 2 cars is equal to

0.19 + 0.38 + 0.29 = 0.86,

which is less than 1.The given probabilities are

0.19, 0.38, 0.29, and 0,

respectively.

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Answer: Assume p to be the number of players, then, the equation which describes this problem is,

844.50+ 68 p = 1592.50844.50+68p=1592.50

68 p = 74868p=748

p = 11p=11.

The number of players, the team can bring to the tournament are 11.

Step-by-step explanation:

Answer: They can bring 11 players to the tournament.

Step-by-step explanation:

$1592.50 - $844.50= $748

Divide $748 by $68, then you will get 11. And 11 will be the answer.

Answer:

Slope of dotted lines: 3/1 or 3

Slope of reflected line: 1/3

Step-by-step explanation:

Rise and run

Answer:

24/32

Step-by-step explanation:

just multiply the bottom number until 32 the as much times you multiplie the denominator that how much times you multiplie the numerator

Answer:

6:8 = 24:32

Step-by-step explanation:

Answer: Relation

Step-by-step explanation:

The graph fails the vertical line test.

The probability that cards are from different suits is \(\frac{39}{51}\)

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

There are 4 suits hearts, diamonds, club and spade in a standard deck of 52 cards.

Each of them has 13 cards each .

So when we pick first card from a single suit

we can pick it in 13 ways , now 12 cards are left.

We can pick the 2nd card from the same suit in 12 different ways .

So to pick 2 cards from a single suit we have 13x12 ways.

to pick 2 card from 4 suits = 4x13x12=624 ways

Total ways of choosing 2 cards from the pack of 52 cards is 52 X 51 =2652

probability that the cards are of same suits=\(\frac{624}{2652} =\frac{12}{51}\)

probability that the cards are of different suits=\(1-\frac{12}{51} =\frac{39}{51}\)

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Answer:

we have to see question 1 to help with number two

Answer: 67

Step-by-step explanation:

We see a pattern where we multiply the number we added by previously by two.

For example, from 5 to 7, it is 2.

From 7 to 11, we add by 4.

From 11 to 19, we add by 8.

From 19 to 35, we add by 16.

This means the next number would be 32, adding 35 by 32 gives us 67,

Answer:

45% I think because prime numbers are 5/ the 11 possible numbers when rolling two die

Answer:

there fore kx = -13x^2-73x+5

then k = -13x^2-73x+5/x

Step-by-step explanation:

given that

5x+1x-2+4x^2+kx+9x^2-5+61x+6x-3 =

= you can write it as

4x^2+9x^2+kx+6x+61x+6x-5

= 13x^2+kx+73x-5

then find kx

-kx = 13x^2+73x-5

there fore

kx = -13x^2-73x+5

then k = -13x^2-73x+5/x

The Little Rock Nine were a group of African American students who were held by the National Guard on September 4, 1957, while attending class at Little Rock Central High School in Little Rock, Arkansas.

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Answer:

NOT a right triangle

Step-by-step explanation:

IF it is a right triangle, then the Pythagorean theorem would apply

13^2 + 82^2  = 83^2   ?????

169  + 6724  = 6889

6893  = 6889 ?     No...it is NOT a right triangle

It is stated that y = 10x + 60 is the equation for the line of greatest fit for all of this data set. indicating that the third choice is the right one.

How can I get the formula for the best fit line?

It is stated that a linear function has the following slope-intercept definition:

y = mx + b.

which contains the following coefficients:

The slope, or m, shows how quickly the function's output changes in relation to its input.

The y-intercept, or b, represents the value that the input function assumes to be zero.

Since the function passes through the given point (0,60), the following is the line's b-intercept:

b = 60.

When x rises by two from zero to two, y rises by twenty from sixty to eighty.

Consequently, the slope m is determined as follows:

m = 20/2 = 10.

Therefore, the following is the line of fit:

y = 10x + 60.

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It is stated that y = 10x + 60 is the equation for the line of greatest fit for all of this data set. indicating that the third choice is the right one.

How can I get the formula for the best fit line?

It is stated that a linear function has the following slope-intercept definition:

y = mx + b.

which contains the following coefficients:

The slope, or m, shows how quickly the function's output changes in relation to its input.

The y-intercept, or b, represents the value that the input function assumes to be zero.

Since the function passes through the given point (0,60), the following is the line's b-intercept:

b = 60.

When x rises by two from zero to two, y rises by twenty from sixty to eighty.

Consequently, the slope m is determined as follows:

m = 20/2 = 10.

Therefore, the following is the line of fit:

y = 10x + 60.

Answer:

1.20 a bag

Step-by-step explanation:

Divide 9.60 by 8

Answer:

The student didn't fully factorize out the terms to the least factor. He only collected some like terms but there was still more to collect and that's why the Teacher didn't give him full credit

Step-by-step explanation:

The original polynomial is;

4x²y^(5) - 8xy³

Now, if we want to completely factor this properly, we have to do it to the barest minimum.

Thus;

4xy³ is common to both terms so we can bring them out;

4xy³(xy² - 2)

Now this complete factorization is different from the one the student gave which is 2xy³(2xy³ - 4)

Thus, the student at best has factorized but only partly as it has not been reduced to the least of like terms.

(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

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Cost of goods sold (COGS) is an important accounting calculation that measures the costs associated with selling a company’s goods or services. Therefore, the cost of goods sold for the month ended is $600.

Cost of Goods Sold (COGS) is a measure of the cost of goods sold during the accounting period. It is calculated by subtracting the beginning inventory from the cost of goods purchased during the accounting period and then adding the ending inventory. For Dig the Dogs, Inc., the cost of goods sold for the month ended is calculated as follows: Beginning Inventory = 0 Cost of Goods Purchased = $900 Ending Inventory = $300 .COGS = Beginning Inventory + Cost of Goods Purchased - Ending Inventory  = 0 + 900 - 300   = $600 Therefore, the cost of goods sold for the month ended is $600.

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The correct answer is option C. 184.51.

The sample mean is 184.51 , which is lower than the critical value of 181.27. Thus, we reject the null hypothesis.

Here is a step-by-step explanation:
1. The critical value is 181.27.
2. We are looking for a sample mean that is greater than the critical value.
3. Option A (174.27) is less than the critical value, so it is not correct.
4. Option B (178.74) is also less than the critical value, so it is not correct.
5. Option C (184.51) is greater than the critical value, so it is correct.
6. Option D (181.18) is less than the critical value, so it is not correct.

The sample mean that would make the following statement correct is option C. 184.51. This is because the sample mean is greater than the critical value, which means that we reject the null hypothesis.

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The quadratic example is ax² + b x + c = 0 where x stands for an unknown value and where a, b, and c stand for known numbers is known as a quadratic equation in algebra.

Quadratic equations are second-degree polynomial equations with at least one squared term. It is also referred to as quadratic equations.

The numerical coefficients a, b, and c are known, while the unknown variable x is. For example , x2 + 2x + 1. It also goes by the name quadratic equation as in: b x +c=0    

The terms a, b, and c are also referred to as quadratic coefficients.    

'Examples of Quadratics

x² –x – 9 = 0

5x² – 2x – 6 = 0
3x² + 4x + 8 = 0

-x² +6x + 12 = 0  (an example of non-quadratic equation is x³ − x² − 5 = 0)

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Answer:

5 small greeting cards + 2 large greeting cards, it would cost 17.2$

a small greeting card + a large greeting card, 5.9$

dude this is easy, wait is my math right or not?

a) 2,4,8 b) 1,3,9

A has a total sum of 16, and B has a total sum of 13.

Answer:

|x – 42.80| = 12

Step-by-step explanation:

x – 42.80 = -12

x=30.8

x – 42.80 = 12

x=54.8

|x - 42.80| = 12  equation represents the amount of money James may have after he sees Rita

Two or more expressions with an Equal sign is called as Equation.

The equation that represents the amount of money James may have after he sees Rita is |x - 42.80| = 12.

This equation reflects the fact that James either borrowed $12 from Rita

so he would subtract $12 from his current amount, or Rita borrowed $12 from him, so he would add $12 to his current amount.

Therefore, the  |x - 42.80| = 12  equation represents the amount of money James may have after he sees Rita

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