Hello,
2x+1=x(2+0)
True or false???????

The maximum value of the function f (x) = -1.8x² + 7x - 11 to the nearest hundredth is,  - 4.19.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

The function is,

⇒ f (x) = -1.8x² + 7x - 11

Now, We can differentiate with respect to x as;

⇒ f ' (x) = - 1.8 × 2x + 7 × 1 - 0

⇒ f ' (x) = - 3.6x + 7

Put f ' (x) = 0

⇒ - 3.6x + 7 = 0

⇒ 3.6x = 7

⇒ x = 1.94

Now, Again differentiate with respect to x as;

⇒ f ' (x) = - 3.6x + 7

⇒ f '' (x) = - 3.6 × 1 + 0

⇒ f '' (x) = - 3.6 < 0

Hence, Substitute x = 1.94 in function to get maximum value,

⇒ f (x) = -1.8x² + 7x - 11

⇒ f (x) = -1.8 (1.94)² + 7 × 1.94 - 11

⇒f (x) = - 6.77 + 13.58 - 11

⇒ f (x) = - 4.19

Thus, The maximum value = - 4.19

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) The mean number of cases in groups of 17,199 children is 0.187.

b) The probability of 0 or 1 case in a group of 17,199 children is 0.832.

c)  The probability of more than one case in a group of 17,199 children is 0.168.

d) The expected number of cases is 3.214 and the actual number of cases is 4

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain.

For example, if you flip a fair coin, the probability of it landing heads up is 0.5, because there are two equally likely outcomes (heads and tails), and one of them is heads. Similarly, if you roll a fair six-sided die, the probability of rolling a 3 is 1/6, because there are six equally likely outcomes (rolling a 1, 2, 3, 4, 5, or 6), and only one of them is a 3.

a. Assuming that the tumor occurs as usual, the mean number of cases in groups of 17,199 children can be calculated as:

mean = (probability of a single case) x (number of children) = 0.000011 x 17,199 = 0.187

So the mean number of cases in groups of 17,199 children is 0.187.

b. The probability of 0 or 1 case can be found using the Poisson distribution, which models the probability of a certain number of events occurring in a fixed interval of time or space, given the mean rate of occurrence. In this case, the Poisson distribution can be used to find the probability of 0 or 1 case in a group of 17,199 children, given the mean of 0.187.

The probability of 0 or 1 case can be calculated as follows:

P(0 or 1 case) = P(0 case) + P(1 case)

= (e⁽⁻⁰°¹⁸⁷⁾ * 0.187⁰) / 0! + (e⁽⁻⁰°¹⁸⁷⁾ * 0.187¹) / 1!

= 0.832

Therefore, the probability of 0 or 1 case in a group of 17,199 children is 0.832.

c. The probability of more than one case can be found as:

P(more than one case) = 1 - P(0 or 1 case)

= 1 - 0.832

= 0.168

Therefore, the probability of more than one case in a group of 17,199 children is 0.168.

d. To determine whether the cluster of four cases is attributable to random chance, we can compare the actual number of cases with the expected number of cases based on the mean rate of occurrence.

The expected number of cases in a group of 17,199 children can be found by multiplying the mean rate of occurrence (0.187) by the number of groups:

expected number of cases = 0.187 x 17199 = 3.214

Since the expected number of cases is 3.214 and the actual number of cases is 4.

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Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

Answer:

cats constitute the same fraction of animals adopted as not adopted

(i am actually not that sure)

Answer:

a

Step-by-step explanation:

as mamy cats as dogs are addopted

The equation is also a series of subtractions. The difference between 16 and 4 is 12, and then subtracting 12 from that result gives 0.

When two quantities are subtracted from one another, the difference is produced. It represents the numerical value of the distance between two values.

The question is asking to match the given equations with the corresponding estimates that have been rounded to the nearest ones place value. The options for the estimates are given on the right-hand side.

Here are the matches:

7.7 - 3.51 ≈ 4 (Quick Check)

The difference between 7.7 and 3.51 is approximately 4.

22.78 - 14.12 ≈ 9 (Quick Check)

The difference between 22.78 and 14.12 is approximately 9.

16.208 - 3.652 ≈ 12 (Intro)

The difference between 16.208 and 3.652 is approximately 12.

3.5 - 1.2 ≈ 2 (Intro)

The difference between 3.5 and 1.2 is approximately 2.

8 - 4 = 4 (Intro)

The difference is 4.

4 - 1 = 3 (Intro)

The difference is 3.

23 - 14 - 9 (Done)

This equation is not a subtraction. It is a series of subtractions. The difference between 23 and 14 is 9, and then subtracting 9 from that result gives 0.

16 - 4 - 12 (Done)

This equation is also a series of subtractions. The difference between 16 and 4 is 12, and then subtracting 12 from that result gives 0.

Note that the terms "Quick Check" and "Intro" refer to different methods of estimation, where "Quick Check" involves rounding to the nearest ten, and "Intro" involves rounding to the nearest whole number.

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Answer:

y = 3/5x + 17/5

Step-by-step explanation:

m = 3/5

b = 17/5

Answer: Look below :D

Step-by-step explanation:

Since a slope perpendicular to another slope will mean that it is the negative reciprocal:

-5/3's negative reciprocal = 3/5.

Now we have completed 2 of 3 factors:

y = 3/5x + b

Now, with the given point, we plug in what we have:

y = 3/5x + b --> 1 = (3/5 * -4) + b

1 = -12/5 + b (let's convert everything to over 5)

5/5 = -12/5 + b

5/5 + 12/5 = b

17/5 = b

b = 17/5

The reason why I didn't do b/5 is because that would actually change the value of the equation.

Let's check:

y = 3/5x + 17/5 (Plug in the coordinates)

1 = (3/5)(-4) + 17/5

1 = -12/5 + 17/5

1 = 5/5

1 = 1

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To find the mean of a set of numbers, you need to add up all the numbers and then divide by the number of numbers in the set.

In this case, the mean of the four numbers is 12, which means the sum of those four numbers is 4 × 12 = 48. The mean of the other six numbers is 22, which means the sum of those six numbers is 6 × 22 = 132. The sum of all ten numbers is therefore 48 + 132 = 180.

To find the mean of all ten numbers, we need to divide the sum by the number of numbers, which is \(\frac{180}{10}\) = 18. Therefore, the mean of all ten numbers is 18.

Answer:  first choice is correct

Step-by-step explanation:

\(\sqrt{10} = 3.16\\\\ \sqrt{13} = 3.6\)

22/9 = 2.44

Therefore Point A is 22/9, Point B is \(\sqrt{10}\),  Point C is \(\sqrt{13}\)

Answer: 9

Step-by-step explanation: 12*12/16

The width of the reduced letter is 9 cm.

Answer: 20%

Step-by-step explanation: 2 is 20% of 10, so 12 dollars is a 20% increase from 10 dollars

The calculated value of the expression 2x - y for the given values of x and y is 9/2.

We are given that 2x = 7 and 2y = 5, and we are asked to find the value of 2x - y.

This means that

x = 7/2 and y = 5/2

We can start by substituting the given values into the expression:

2x - y = 2(7/2) - (5/2)

Notice that since 2x = 7, then x = 7/2.

Similarly, since 2y = 5, then y = 5/2. Substituting these values into the expression, we get:

2x - y = 2(7/2) - (5/2) = 7 - 5/2 = 9/2

Therefore, the value of 2x - y is 9/2.

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Answer:

For cobalt-60, which has a half-life of 5.27 years, 50% remains after 5.27 years (one half-life), 25% remains after 10.54 years (two half-lives), 12.5% remains after 15.81 years (three half-lives), and so on.

Step-by-step explanation:

You can figue out the rest.

Answer:

-1/2

Step-by-step explanation:

y = -1/2x+ 1/4

The equation of a line is given by

y = mx+b where m is the slope and b is the y intercept

-1/2 is the slope and the y intercept is 1/4

Answer:

57,000

Step-by-step explanation:

This means that she made a 20% return on the money she invested in the property. For every dollar she invested, she earned 20 cents in profit.

To calculate Jennifer Aniston's return on investment (ROI), we can use the formula:

ROI = (Net Profit / Initial Investment) * 100

First, let's calculate the net profit. The net profit is the selling price minus the initial investment:

Net Profit = Selling Price - Initial Investment

Net Profit = $2,200,000 - $2,000,000

Net Profit = $200,000

Next, we calculate the ROI:

ROI = (Net Profit / Initial Investment) * 100

ROI = ($200,000 / $1,000,000) * 100

ROI = 0.2 * 100

ROI = 20%

Jennifer Aniston's return on investment for this property is 20%.

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Answer:

there is no direct formula.

Step-by-step explanation:

sure i can help!

The length of unknown side x is 58.

The correct answer is option D.

To find the unknown side length, x, in a right triangle with the base measuring 42 and the perpendicular measuring 40, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x be the hypotenuse. Applying the Pythagorean theorem, we have:

\(x^2 = 42^2 + 40^2\)

Simplifying:

\(x^2\) = 1764 + 1600

\(x^2\)= 3364

Taking the square root of both sides to solve for x:

x = \(\sqrt{3364}\)

Simplifying the square root:

x = (\(\sqrt{4 * 841)}\)

Since 841 is a perfect square (\(29^2\)), we can further simplify:

x = 2 * 29

x = 58

Therefore, the unknown side length, x, is equal to 58.

From the options provided the correct option is D.

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Answer:

9/10

Step-by-step explanation:

multiply 3/10 by 3.

3/10 x 3/1  =

3x3/10x1 =

9/10

3 ÷ 3/10

3 • 10/3

30/3

10

Done.

Answer:

28) slope -3 y intercept -13

29) slope -4 y intercept 37

30) slope 4 y intercept -6

Answer:

q=36

Step-by-step explanation:

Equation: 3q+q+q=180

180 degress in a triangle. Solve the equation and you end up with q=36

Boom.

Answer:

C. a quadratic function with a negative value of a

Step-by-step explanation:

It is likely that a quadratic function with a negative value of a would be the best model for this data, as it would represent a parabolic shape that can accommodate a downward trend, followed by an upward trend, in the stock price. The value of "a" determines the direction of the parabola, with a negative value resulting in a downward-facing parabola, which is appropriate for a stock price that starts low and increases over time. This type of function would provide a good fit for the data, especially if there are fluctuations or ups and downs in the stock price over time.

Answer:

y=2x+6

Step-by-step explanation:

Answer:

24.95 kg

Step-by-step explanation:

one pound =0.45356 kg

55 lbs=55*45356 =24.95 kg

Answer:

7 batches

hope this helps

Step-by-step explanation:

1 n (batches of dumpling wrappers) = 3 cups flour

n = 21 / 3

n = 7

The chef can make 7 batches of dumpling wrappers :D.

Proof: If mn is even, then either m = 2k/n or n = 2k/m for an integer k, meaning either m or n must be even.

The following is a direct proof:

The proof shows that if m and n are integers and mn is even, then either m must be even or n must be even. The proof starts by assuming that m and n are integers and that mn is even. It then proceeds to show that one of the factors, either m or n, must also be even.

The proof uses the definition of an even number, which is a number that is divisible by 2, to conclude that if mn is even, then there must be an integer k such that mn = 2k. From this equation, the proof derives the expressions m = 2k/n or n = 2k/m. Since k is an integer, it follows that either m or n must be even, since the result of dividing an integer by another integer is also an integer.

The proof concludes by stating that if mn is even, then either m must be even or n must be even, based on the logical reasoning provided in the proof.

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The total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

To calculate the total prorations for interest and property taxes, we need to determine how much the seller owes for each of these expenses up to the closing date of June 15.

First, let's calculate the daily interest rate on the mortgage. We can do this by multiplying the principal amount of the mortgage ($168,745.60) by the annual interest rate (8%) and then dividing by 365 (the number of days in a year):

Daily interest rate = ($168,745.60 x 0.08) / 365 = $36.94

Next, we need to determine the number of days from the start of the month (June 1) to the closing date (June 15):

Number of days = 15 - 1 = 14

Using the daily interest rate and the number of days, we can calculate the proration for interest:

Proration for interest = ($36.94 x 14) = $516.76

To calculate the proration for property taxes, we need to divide the annual property taxes ($3,893.25) by 365 to get the daily property tax rate:

Daily property tax rate = $3,893.25 / 365 = $10.65

Next, we need to determine the number of days from the start of the year to the closing date (June 15):

Number of days = 165

Using the daily property tax rate and the number of days, we can calculate the proration for property taxes:

Proration for property taxes = ($10.65 x 165) = $1,754.25

Therefore, the total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

These prorations will be subtracted from the seller's equity, since they are expenses that the seller owes up to the closing date.

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Answer:?

Step-by-step explanation: math mathematics.

Answer:

9

Step-by-step explanation:

28 x 4=112

112 x 12= 1344

1344-875-330-130=9

Answer:

he will have $9 left over