what is the answer to 45c+10b

Answer:

x = - 2, x = 12

Step-by-step explanation:

Given

x² - 9x = x + 24 ( subtract x + 24 from both sides )

x² - 10x - 24 = 0 ← in standard form

(x + 2)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 12 = 0 ⇒ x = 12

Answer:

i think your answer would number 1 or number 4

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Answer:

1.1. 3(2a-7)

1.2. 3x(2x+3)

Step-by-step explanation:

Put the common factor on the outside of the parentheses.

1.1. 6a-21

The lowest common factor for 6a and -21 is 3.

     3(2a-7)

1.2. \(6x^{2} +9x\)

The lowest common factor for \(6x^{2}\) and 9x is 3x.

      3x(2x+3)

well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so

\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)

Answer:

y = 28

Step-by-step explanation:

The dashes on line segments AC and BC indicate that the line segments are equal in length.

Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.

The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.

Interior angles of a triangle sum to 180°.  

Therefore:

⇒ ∠A + ∠B + ∠C = 180°

⇒ 34° + 34° + 4y° = 180°

⇒ 68° + 4y° = 180°

⇒ 4y° = 112°

⇒ y = 112° ÷ 4°

⇒ y = 28

Answer:

$15.30

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

well first do 12 divided by 4 is 3. than 30-9 is 21. then do 21 +3 is 24 than 24- 3 is 21. therefore your answer is 21.

Answer:

21

Step-by-step explanation:

i just took the test

We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.

In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.

Thus, we need to use the t-distribution to construct the confidence interval.

The formula for the confidence interval is as follows:

Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368

Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).

This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

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The number of tornadoes that occur in the United States each year is 1158

Let's call the number of tornadoes in the United States each year "x".

The number of tornadoes in Florida each year is 5.7% of this total

So we can write:

66 = x * 5.7%

Divide both sides by 5.7%

x = 66/5.7%

Evaluate

x = approximately 1158

So, approximately 1162 tornadoes occur in the United States each year.

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Given:

Required:

To find the length of the rope swing.

Explanation:

Consider the formula

Now

Final Answer:

The length is 56.0 meters.

Answer:

its x=5

Step-by-step explanation:

well the domain should be not real numbers so yeah

The correct option regarding the skewness of the distribution is given by:

This is a skewed-left distribution, because the mean is less than the median.

If the mean is greater than the median, the distribution is right-skewed, also called positively skewed. Otherwise, if the median is greater than the mean, the distribution is left-skewed, also called negatively skewed.

In this problem, we have that:

The median is greater than the mean, hence the correct option is given by:

This is a skewed-left distribution, because the mean is less than the median.

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Answer:

B.

Step-by-step explanation:

If x squared is 60, then you would have to find the root of 60 to find the value of x.

Hope I helped :)

Please consider Brainliest :)

Answer:

I just took the test the answer is B. +or - the square root of 60

Step-by-step explanation:

The median is the value that separates the higher half from the lower half of a data set.

To find the median, first, write the number in ascending order.

22, 43, 100, 102, 108

Since there are 5 numbers in the data set, the median is the 3th number.

Then, the median is 100.

Answer: 100.

The expression 2^7 times 19 can be simplified by first evaluating the exponential term, 2^7, which is equal to 128. Therefore:2^7 times 19 = 128 * 19We can then evaluate the product of 128 and 19 using multiplication. When we do that, we get:2^7 times 19 = 2432Therefore, the choice that is equivalent to the expression 2^7 times 19 is 2432

Answer:

57.5p

Step-by-step explanation:

$2.30 / 4 = 57.5p

Answer:

40%

Step-by-step explanation:

10/25 = 0.4

0.4 into a percentage is 40%

Answer:

40%

Step-by-step explanation:

25/10 = 2/5 = .4 or 40%

Answer:

425

Step-by-step explanation:

(a) The Null And Alternate hypothesis are stated below,

(b) The value of test-statistic is 3,

(c) The "p-value" is 0.0013,

(d) The hypothesis is rejected because p-value is less than 0.025.

Part (a) : The appropriate null and alternative hypotheses are:

Null hypothesis (H₀): The average LSAT score at the University of Pennsylvania is equal to or less than the national average of 1,300.

Alternative hypothesis (Hₐ): The average LSAT score at the University of Pennsylvania is significantly higher than the national average of 1,300.

Part (b) : To calculate the test-statistic, we use formula : t = (x' - μ)/(s / √n),

where x' = sample mean, μ = hypothesized population mean, s = sample standard deviation, and n = sample size.

Substituting the given values,

We get,

t = (1375 - 1300)/(125 / √25) = 3;

So, the value of the test statistic is 3.

Part (c) : To calculate "p-value", we need to find the probability of getting a t-value as extreme or more extreme than 3, assuming that the null hypothesis is true.

We know that for a two-tailed test at a significance level of 0.03, the p-value is approximately 0.0013.

Part (d) : To test the hypotheses using the p-value, we compare it to the significance-level.

Since the p-value is less than 0.025 (half of the significance level for a two-tailed test), we reject the null hypothesis and conclude that there is sufficient evidence to support the claim.

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The given question is incomplete, the complete question is

The admissions officer for the graduate programs at the university of Pennsylvania believes that the average score on the LSAT exam at his university is significantly higher than the national average of 1,300. an accepted standard deviation for LSAT scores is 125. random sample of 25 scores had an average of 1,375.

(a) State the appropriate null and alternative hypotheses.

(b) Calculate the value of the test statistic

(c) Calculate the p-value.

(d) Use the p-value to test the hypotheses and conduct the test at the 0.025 level.

Hey there :)

Answer is Step 2

Check attached image also.

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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The logarithmic equation of 8^x = 64 is \(x = \log_8(64)\)

The exponential equation is given as:

8^x = 64

Take the logarithm of both sides

xlog(8) = log(64)

Divide both sides by log(8)

x = log(64)/log(8)

Apply the change of base rule

\(x = \log_8(64)\)

Hence, the logarithmic equation of 8^x = 64 is \(x = \log_8(64)\)

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The maximum value of f is 12.

Simplex method to maximize the given function is shown below:

Maximize f = 3x + 8y

Subject to 14x + 7y ≤ 56 and 5x + 5y ≤ 80

Step 1: Rewrite the given problem in the standard form by adding slack variables. 14x + 7y + s1 = 56 5x + 5y + s2 = 80

Step 2: Rewrite the objective function such that it contains all the variables on the left. f - 3x - 8y = 0

Step 3: Convert the objective function into an equation by introducing a new variable z. f - 3x - 8y + z = 0

Step 4: Form the initial simplex tableau by placing all the variables and coefficients in a matrix as shown below:

x y s1 s2

RHS 14 7 1 0 56 5 5 0 1 80 -3 -8 0 0 0 1 1 0 0 0

Step 5: Apply the simplex algorithm to find the maximum value of f. We start with the element -3 in row 3 and column 1. We divide all the elements in row 3 by -3.

This gives: x y s1 s2 RHS 14 7 1 0 56 5 5 0 1 80 1.0 2.67 0 0 0 1 1 0 0 0

The smallest positive number is 5/2.

Therefore, we choose the element 5/2 in row 2 and column 2. We divide all the elements in row 2 by 5/2.

This gives: x y s1 s2 RHS 8.57 0.71 1 -1.43 51.43 1 1 0 0 16

The smallest positive number is 1.

Therefore, we choose the element 1 in row 3 and column 2.

We divide all the elements in row 3 by 1. This gives: x y s1 s2 RHS 1.4 0 0.37 -0.2 8.8 1 0 -0.2 0.4 4.0

The optimum solution is x = 4, y = 0, s1 = 0.4, s2 = 0. The maximum value of f is:f = 3x + 8y = 3(4) + 8(0) = 12.

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Answer:

(-2, 1/9)  (-1, 1/3)  (0,1) (1,3) (2,9)

the right graph is graph B

Step-by-step explanation:

To find the y values, input each of the x values in the function and solve them with a calculator. The negative x values may give decimals, but if you start with the positive ones first, you'll notice a pattern in the graph, which will help you figure out what the fraction form of the decimals are.

Once you have the table, use the table to find the points on the right graph.

Answer:

Adults tickets sold = 321

and children tickets sold = 227

Step-by-step explanation:

Let Adults tickets are represented by x

and children tickets are represented by y

If theater sold 548 movie tickets writing it in algebraic expression we get:

Adults ticket cost $6.50 and a child’s ticket cost $3.50. In all, $2881 was taken in. Writing it in algebraic expression we get:

We need to find value of x and y

Solving the system of equations and finding value if x and y.

and

Let:

Multiply eq(1) wit 3.50 and subtract both equations

So, value of x = 321

Now finding value of y by putting value of x in eq(1)

Value of y= 227

So, Adults tickets sold = 321

and children tickets sold = 227

Keywords: Word Problems

Step-by-step explanation:

The negative binomial, geometric, and Poisson distributions do not have a specified maximum value of X.

In the negative binomial distribution, X represents the number of trials needed to achieve a fixed number of successes. The number of trials can vary indefinitely, so there is no maximum value for X.

Similarly, in the geometric distribution, X represents the number of trials needed to achieve the first success. Since the number of trials can continue indefinitely until the first success occurs, there is no predetermined maximum value for X.

The Poisson distribution models the number of events occurring in a fixed interval of time or space. The number of events can be arbitrarily large, and thus there is no specific maximum value for X.

On the other hand, the binomial and hypergeometric distributions have a fixed number of trials or population size, respectively, which defines the maximum value of X. In these distributions, X represents the number of successes within the specified constraints.

Therefore, the negative binomial, geometric, and Poisson distributions do not have a specified maximum value of X, making them distinct from the binomial and hypergeometric distributions.

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Answer:

the first option

Step-by-step explanation:

it is directly there in the problem description.

f(x) = 1.8x - 10

g(x) = -4

so, for f(x)=g(x) that automatically means

1.8x - 10 = -4

1.8x = 6

x = 6/1.8 = (6/1) / (18/10) = 10×6 / 18×1 = 60/18 = 10/3

The number of ways to select 21 ice cream cones from 8 flavors is 0.

To find the number of ways to select 21 ice cream cones from 8 different flavors, we can use the concept of combinations.

We want to choose 21 cones out of 8 flavors, where order does not matter. This is a combination problem.

The formula for combinations is given by:

C(n, r) = n! / (r!(n - r)!)

where n is the total number of items to choose from, and r is the number of items we want to select.

In this case, we have n = 8 (number of flavors) and r = 21 (number of cones to select).

Using the combination formula, we can calculate the number of ways to select 21 ice cream cones from 8 flavors:

C(8, 21) = 8! / (21!(8 - 21)!)

However, since 21 is greater than 8, the combination is not possible. Selecting 21 cones from only 8 flavors is not feasible.

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Answer:

GH

Step-by-step explanation:

A secant is a straight line which cuts the circle at 2 points

GH and FE both do this but FE is a special secant, that is the diameter

Then GH is a secant