help me pleaseee! asap would be lovely :)

Answer:

25

Step-by-step explanation:

I don't know how I got this answer I'm just trying to finish

The value of the composite function f(g(x)) at x = 3 is 25 if the function  f(x) = 2x + 3 and g(x) = 3x + 2 option (C) 25 is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

f(x) = 2x + 3 and

g(x) = 3x + 2

To find the value of f(g(3))

First plug x = 3 in the function g(x)

g(3) = 3(3) + 2

g(3) = 9 + 2

g(3) = 11

Plug the value of g(3) in the function f(x):

f(g(3)) = 2(11) + 3

f(g(3)) = 22 + 3

f(g(3)) = 25

The f(g(x)) is representing a composite function and the value of the composite function at x = 3 is 25.

Thus, the value of the composite function f(g(x)) at x = 3 is 25 if the function  f(x) = 2x + 3 and g(x) = 3x + 2 option (C) 25 is correct.

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Answer:

Step-by-step explanation:

6 rectangles.

2 act as the top and bottom

Answer:

C and D

..............................

Step-by-step explanation:

correct

Answer:

121.25lbs

Step-by-step explanation:

First find 3% of 125

125 x 0.03 = 3.75

Now subtract from 125

125 - 3.75 = 121.25

Answer:

P(-5) = 109

Step-by-step explanation:

     If the polynomial p(x) is divided by the linear polynomial (x-a), the remainder is p(a).

   Dividend = divisor * quotient + remainder.

   p(x) = (x-a) * q(x) + p(a)

Here, q(x) is the quotient and p(a) is the remainder.

      P(x) = 4x² - x + 4

     P(-5) = 4*(-5)² - 1*(-5) + 4

              = 4*25 + 5 + 4

              = 100 + 5 + 4

              = 109

Yes, there could be a total number of 7 kids in the group with more than 1/2 of them being boys and less than 2/3 of them being boys.

Let's assume that the total number of kids in the group is x.

According to the problem, more than 1/2 of the group are boys. Mathematically, we can represent this as:

Number of boys > x/2

Also, the boys are less than 2/3 of the group. Mathematically, we can represent this as:

Number of boys < 2x/3

Now, let's substitute x=7 in the above two equations:

Number of boys > 7/2 = 3.5 --- (1)

Number of boys < 14/3 ≈ 4.67 --- (2)

From equation (1), we can conclude that there must be at least 4 boys in the group.

From equation (2), we can conclude that there can be at most 4 boys in the group because the number of boys cannot be a fraction.

Therefore, the possible number of boys in the group could be either 4 or 3. If there are 4 boys, then the number of girls in the group would be 3. If there are 3 boys, then the number of girls in the group would be 4.

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Answer:

it looks like 60

Step-by-step explanation:

Answer:

none of these

Step-by-step explanation:

A number is divisible by 10 if the last digit of the number is 0. The numbers 20, 40, 50, 170, and 990 are all divisible by 10 because their last digit is zero, 0.

Answer:

bus = 90/360 x 60 = 15

walk = 120/360 x 60 = 20

not sure about bike and car

Answer:

Bike=5

Walk=20

Step-by-step explanation:

The final step when solving the given math problem is:

Take the fifth root of both sides: x = \(((y^2)/19)^(^1^/^5)\)

To solve √19x^5 for x, follow these steps:

Isolate the square root term: \(\sqrt{19x^5}\) = y (Let y be the other side of the equation)

Square both sides: \((y^2) = 19x^5\)

Divide both sides by 19: \((y^2)/19 = x^5\)

Take the fifth root of both sides: x = \(((y^2)/19)^(^1^/^5^)\)

The square root of a number is a value that, when multiplied by itself, gives the original number. It is denoted by the symbol √ and can be found using mathematical operations.

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Answer:

2

Step-by-step explanation:

plug f(-2) in for x

The standard deviation for the probability distribution is approximately 0.79, rounded to two decimal places.

To find the standard deviation for this probability distribution, we first need to find the mean.

The mean is given by:

μ = Σ(x * P(x))

where x is the number of burglaries and P(x) is the probability of x burglaries being reported in a given day.

\(μ = (0 * 0.53) + (1 * 0.35) + (2 * 0.10) + (3 * 0.02)μ = 0 + 0.35 + 0.20 + 0.06μ = 0.61\)

So the mean number of burglaries reported in a given day is 0.61.

To find the standard deviation, we use the formula:

\(σ = √(Σ[(x - μ)^2 * P(x)])\)

where σ is the standard deviation.

\(σ = √[((0 - 0.61)^2 * 0.53) + ((1 - 0.61)^2 * 0.35) + ((2 - 0.61)^2 * 0.10) + ((3 - 0.61)^2 * 0.02)]\\σ = √[(0.61^2 * 0.53) + (0.39^2 * 0.35) + (1.39^2 * 0.10) + (2.39^2 * 0.02)]\\σ = √[0.197969 + 0.053865 + 0.257199 + 0.113964]\\σ = √0.623997σ ≈ 0.79\)

Therefore, the standard deviation for the probability distribution is approximately 0.79, rounded to two decimal places.

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Answer:

( 5 x 9 ) - ( 9 x 2 )

Step-by-step explanation:

5 x ( 9 -2 ) = ( 5 x 9 ) - ( 9 x 2 )

Answer:

\(\displaystyle{f(x)=-2x^2-8x-19}\)

Step-by-step explanation:

Given the vertex equation:

\(\displaystyle{f(x)=-2(x+2)^2-11}\)

First, apply the perfect square formula, expanding to standard form:

\(\displaystyle{f(x)=-2(x^2+4x+4)-11}\)

Expand -2 in:

\(\displaystyle{f(x)=-2x^2-8x-8-11}\)

Evaluate or simplify:

\(\displaystyle{f(x)=-2x^2-8x-19}\)

Hence,

\(\displaystyle{f(x)=-2x^2-8x-19}\)

Answer:

\(\huge\boxed{\sf f(x) = -2x\² - 8x - 19}\)

Step-by-step explanation:

f(x) = -2(x + 2)² - 11

f(x) = -2[(x)² + 2(x)(2) + (2)²] - 11

f(x) = -2(x² + 4x + 4) - 11

Distribute

f(x) = -2x² - 8x - 8 - 11

\(\rule[225]{225}{2}\)

The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.

Unit 1:

Pmin = 200 MW

Pmax = 500 MW

Ci = $50/MWh

Unit 2:

Pmin = 150 MW

Pmax = 400 MW

Ci = $40/MWh

Unit 3:

Pmin = 100 MW

Pmax = 300 MW

Ci = $30/MWh

To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.

Suppose the load demand is D MW. We allocate the load demand to the units as follows:

Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:

Cost1 = Ci * P1, where P1 is the power output of Unit 1.

Step 2: If there is still remaining load demand, allocate it to Unit 2:

Cost2 = Ci * P2, where P2 is the power output of Unit 2.

Step 3: If there is still remaining load demand, allocate it to Unit 3:

Cost3 = Ci * P3, where P3 is the power output of Unit 3.

Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:

Cost_total = Cost1 + Cost2 + Cost3

To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.

In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

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Answer:

7.  x = 9

9. x=7

Answer:

6 pepper fruits

Step-by-step explanation:

Given the following :

Fraction of pepper in terms of tomato = 2/3

Number of fruits on pepper plant = 9

Therefore number of pepper fruits on pepper plant:

2/3 * number of tomato fruits

2/3 * 9

(2 * 3) = 6

6 pepper fruits.

Answer:

1) y = -3

2) y = 0

Step-by-step explanation:

1) When x = 2

4x – 3y = 17

4(2) - 3y = 17

8 - 3y = 17

-3y = 17 - 8

-3y = 9

y = -3

2) When x = 4

–2x + y = –8

-2(4) + y = -8

-8 + y = -8

y = -8 + 8

y = 0

From the information provided, we know that the first subscriber came after two weeks. This means as at the 20th week, your blog would have been growing for 18 weeks. Also take note that the first term in this sequence is 1, and the common ratio is 3. We know this because the number of subscribers triples each week after the first subscriber.

Therefore, for the geometric sequence, we have the following;

The nth term of a geometric progression is given as;

For the 18th term, which is the number of subscribers after the 20th week, we would have;

ANSWER:

This means 20 weeks after the blog was created, you now have

129,140,163 subscribers

Hope you understand :)

Answer:

2 mins 30 secs

The second capacitor should have an approximate capacitance of 225 pF, and the two capacitors need to be connected in series.

To achieve a combined capacitance of 225 pF by combining a 600 pF capacitor with another capacitor,

Consider whether the capacitors should be connected in series or in parallel.

The formula for combining capacitors in series is,

1/C total = 1/C₁+ 1/C₂

And the formula for combining capacitors in parallel is,

C total = C₁+ C₂

Let's calculate the approximate capacitance of the second capacitor and determine how to connect the two capacitors,

Capacitors in series,

Using the formula for series capacitance, we have,

1/C total = 1/600 pF + 1/C₂

1/225 pF = 1/600 pF + 1/C₂

1/C₂ = 1/225 pF - 1/600 pF

1/C₂ = (8/1800) pF

C₂ ≈ 1800/8 ≈ 225 pF

Therefore, the approximate capacitance of the second capacitor in series is 225 pF. So, the correct answer is 225 pF, series.

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Answer:

x = 18 cm

Step-by-step explanation:

(4x)^2 = 3(4x)(x+6)

16x^2=3(4x)(x+6)

divide both sides by 4x

4x = 3(x+6)

4x=3x+18

x = 18

Answer:

Step-by-step explanation:

The required amount in the account is given as $878.48.

Given that,
On February 1, the balance is your account is $516.81. On July 1, you deposit $310.90. Your bank pays 6.25% interest.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Here,
According to the question,
Total money in the account = 516.81 + 310 = 775.81
Total money in the account after interest = 775.81 [1 + 0.0625] = 878.48

Thus, the required amount in the account is given as $878.48.

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Increasing the sample size in a study can have several effects on the results of a hypothesis test. One factor to consider is the size of the z-score in the test.

As the sample size increases, the z-score decreases because the standard error of the mean decreases. This means that the sample mean is more likely to be closer to the population mean, resulting in a smaller difference between the two and a smaller z-score.

Another factor to consider is Cohen's d, which measures the effect size of a treatment or intervention. As the sample size increases, Cohen's d may remain the same or decrease because it is influenced by the variability in the data. If the variability decreases with a larger sample size, Cohen's d may also decrease.

Finally, increasing the sample size can also impact the power of a hypothesis test. Power is the probability of correctly rejecting a false null hypothesis. As the sample size increases, the power of the test also increases because there is a greater chance of detecting a significant difference between the sample mean and the population mean. Therefore, increasing the sample size can be beneficial for hypothesis testing by increasing the power of the test.

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Answer:

This property is associative

Step-by-step explanation:

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

The distributive property of multiplication over addition:

a(b + c) = ab + ac

(9 + 6)4 = 9 × 4 + 6 × 4

is an example of the distributive property.

Answer:

i think -1/26

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

(-15+16) /(-7-19)

1/-26

Answer:

I think B

Step-by-step explanation:

Using the t-distribution, it is found that we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.

At the null hypothesis, it is tested if the mean is of 1.5 inches, that is:

\(H_0: \mu = 1.5\).

At the alternative hypothesis, it is tested if it is different, hence:

\(H_1: \mu \neq 1.5\).

The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

The parameters are:

In this problem, their values are:

\(\overline{x} = 1.476, \mu = 1.5, s = 0.203, n = 200\).

Hence, the test statistic is given by:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{1.476 - 1.5}{\frac{0.203}{\sqrt{200}}}\)

\(t = -1.672\)

Considering a two-tailed test, as we are testing if the mean is diffrent of a value, with 200 - 1 = 199 df and a standard significance level of 0.05, the critical value is of \(|t^{\ast} = 1.972\).

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.

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