A family use 3.5 litres of milk daily.How many litres of milk do the family use in January​

Given data:

The given equation of the parabola is Y=a(x-h)^2+k.

The vertex of the parabola is (h, k).

The axis of symmetry is x=h.

Thus, the vertex of the parabola is (h,k).

Thus, the axis of symmetry is x=h.

The number of triangles that can be formed using 14 points in a plane such that 4 points are collinear is 360.

If 4 points are collinear, then we can choose any 3 of those points to form a line segment, which cannot be extended to form a triangle.

we need to choose 3 points from the 14 points such that no 3 of them are collinear.

The number of triangles that can be formed from n non-collinear points in a plane is given by the formula:

                  C(n,3) = n(n-1)(n-2)/6

where C(n,3) is the binomial coefficient for choosing 3 items out of n.

So, to find the number of triangles that can be formed using 14 points in a plane such that 4 points are collinear,

we first need to find the number of ways to choose 3 points from 14 points, and then subtract the number of ways to choose 3 points from the 4 collinear points.

That is:

Total number of triangles = C(14,3) - C(4,3)

Total number of triangles = 364 - 4

Total number of triangles  = 360

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The answer of the function found to be x = −4 and x = 2,  with M = 38.

We must consider the function,

f (x) = x³ + 6x² + 6

Over the interval  

-5 \(\leq\) x \(\leq\) 2

To obtain the extrema we start from the function's derivative.

f' (x) = 3x² + 12x

Equating it to 0,

f' (x) = 0 = 3x(x +4) = 0

We arrive at two solutions,

x1 = 0,     x2 = -4   both inside the interval.

Evaluating the function at the stationary points,

f (x1) = 6

f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38

These values must be compared to that of the function at the interval frontiers,

f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31

f (2) = 2³ + 6 . 2² + 6 = 38

Comparing the results we can conclude that the function attains its absolute minimum at,

x = 0,      m = 6

Meanwhile, the absolute maximum is attained at the points,

x = −4 and x = 2,  with M = 38.

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The total volume in centiliters is 5 cL, then the correct option is A.

Here we know that Dante mixes 30 mililiters of one liquid with 2 centiliters of a second liquid, and we want to find the total volume in centiiters.

We know that:

1 milliliter = 0.1 centiliters.

Then:

30 mililiters = 30*( 0.1 centiliters) = 3 centilters.

Then the sum of the two volumes is:

3 centiliters + 2 centiliters = 5 centiliters.

Then the correct option is A.

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The answer is A. 5 cL.

Liquid is one of the three states of matter, alongside solid and gas. It is a form of matter that has a definite volume, but not a definite shape. Liquids take the shape of their container and are able to flow and be poured.

First, we need to convert 30 milliliters to centiliters, which is 3 centiliters (since 1 centiliter = 10 milliliters).

Then, we can add the 3 centiliters to the 2 centiliters of the second liquid to get a total of 5 centiliters.

Therefore, the answer is A. 5 cL.

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Answer:

232

Step-by-step explanation:

(8)/(12)=(x)/(348)

x=232

Answer:

Step-by-step explanation:

Let's simplify the equation first.

Hence, the equation has no solution because -36 ≠ -33.

Antoya's overall profit is $23.00.

To solve this problem, let's break it down step by step.

First, let's consider the purchase of two bracelets. Antoya paid $5.00 each for them, so the total cost for the two bracelets is 2 * $5.00 = $10.00. She later sold each bracelet for $15.00, which means the total revenue from selling the two bracelets is 2 * $15.00 = $30.00.

Next, let's look at the purchase of three bracelets. Antoya paid $8.00 each for them, so the total cost for the three bracelets is 3 * $8.00 = $24.00. She then sold each bracelet for $9.00, which means the total revenue from selling the three bracelets is 3 * $9.00 = $27.00.

To find the profit or loss, we need to calculate the net gain or loss by subtracting the total cost from the total revenue. For the two bracelets, the net gain is $30.00 - $10.00 = $20.00. For the three bracelets, the net gain is $27.00 - $24.00 = $3.00.

To find the overall profit or loss, we add up the net gains from the two transactions. $20.00 + $3.00 = $23.00.

Therefore, Antoya's overall profit is $23.00.

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Answer:

62.208

Step-by-step explanation:

51.84 + 10.368

Answer:

I think if the total amount was $51.84 after tax, then 51.84 x 0.20 = 10.368. $51.84 - 10.368 = $41.472

I think original price was $41.47. I am not sure.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) 2x - 8

x is called variable

Option 2

B) 5 - 4x  is not a equation

Option 1

The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.

To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.

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To evaluate the given integral, the most helpful substitution is x = 15 sec θ. The rewritten integral will be dx = 15 sec θ tan θ dθ / (225 + 225 sec² θ)².

In trigonometric substitution, we choose a substitution that simplifies the integral by transforming it into a form that can be easily evaluated using trigonometric identities. In this case, the most helpful substitution is x = 15 sec θ.

To rewrite the integral, we need to express dx in terms of θ. Since x = 15 sec θ, we can differentiate both sides with respect to θ to find dx. The derivative of sec θ is sec θ tan θ, so we have dx = 15 sec θ tan θ dθ.

Substituting this expression for dx and rewriting (225 + x²)² in terms of θ, we obtain:

∫(x² dx) / (225 + x²)² = ∫[(15 sec θ)² (15 sec θ tan θ dθ)] / (225 + (15 sec θ)²)².

Simplifying further, we get:

∫(225 sec² θ tan θ dθ) / (225 + 225 sec² θ)².

This is the rewritten form of the integral using the substitution x = 15 sec θ.

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Answer:

49 / 9π + 16

Step-by-step explanation:

So 110 / 360 = 11 / 36

The circumference of the circle is 16π

11 / 36 * 16 = 44 / 9π

44 / 9π + 8 + 8 is the answer since you gotta add the sides.

This might be wrong so check my steps.

Answer:

5.20

Step-by-step explanation:

48 / 9.23 = 5.20043336945

rounded to tenth is 5.20

Hope This Helped

Answer:5.20

Step-by-step explanation:

48 / 9.23 = 5.20

A metric is a single, quantifiable type of data that can be utilized for various tasks in different domains. Metrics serve as essential tools for measuring progress, assessing performance, and making informed decisions.

By converting complex information into manageable and comparable units, metrics enable individuals and organizations to monitor their objectives and drive improvement.
In business, metrics are often employed to evaluate the success of marketing campaigns, employee performance, or financial growth. They assist in identifying trends, pinpointing areas that need attention, and guiding strategic planning. Key performance indicators (KPIs) are a common type of metric used to measure the effectiveness of business processes and track progress toward organizational goals.
In scientific research, metrics provide valuable insight into the progress and impact of studies. For example, citation metrics measure the influence of a published work within a given field. Metrics also facilitate the assessment of experimental results and the development of new theories, ultimately advancing scientific knowledge.
In education, metrics serve as essential tools for gauging student performance and the quality of educational programs. They provide data on student learning outcomes, helping educators refine their teaching methods and tailor instruction to the needs of individual learners.
Overall, a metric is a versatile, quantifiable data type that plays a vital role in assessing and improving various aspects of performance across multiple domains. By offering concrete, measurable information, metrics empower decision-makers to make informed choices and drive progress.

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Answer:

  line QR

Step-by-step explanation:

Plane QRB is the front face. Plane TSR is the top face. The planes intersect at the top front edge, line QR.

Joe can afford a car loan of approximately $12,944.

To determine the loan amount Joe can afford, we need to calculate the present value of the continuous monthly payments he can make. Joe can pay $360 per month for 4 years, which amounts to a total of 4 * 12 = 48 payments.

The formula to calculate the present value of continuous payments is given by:

PV = (PMT / r) * (1 - e^(-rt))

Where:

PV is the present value of the continuous payments,

PMT is the monthly payment amount,

r is the annual interest rate, and

t is the loan term in years.

Substituting the given values, we have:

PMT = $360,

r = 0.125 (12.5% expressed as a decimal),

t = 4.

Plugging in these values, we can calculate the present value:

PV = (360 / 0.125) * (1 - e^(-0.125 * 4))

Using a calculator or spreadsheet, we find that the present value is approximately $12,944. Therefore, Joe can afford a car loan of approximately $12,944 and still make monthly payments of $360 for 4 years.

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Answer:

B. 39.4

Step-by-step explanation:

H is 60, so the new equation would be 60 - 20.6.

60 - 20.6

60.0 - 20.6

The rest of the work is attached.

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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a) The Beta distribution that would be used to model p, the true defect rate is Beta(2, 8).

(b) Using the distribution P(.15 ≤p ≤.25) is 0.086.

(c) The new Beta distribution that you would use to model p is Beta(3, 17).

(d) Using the new distribution P(.15 ≤p ≤.25) is 0.004.

(a) The Beta distribution that we would use to model p is Beta(α, β), where α is the number of defective parts found in the sample and β is the number of working parts found in the sample. In this case, α = 2 and β = 8, so the Beta distribution is Beta(2, 8).

(b) Using the Beta(2, 8) distribution, we want to find P(.15 ≤p ≤.25). This is equivalent to finding the probability that p falls between 0.15 and 0.25. We can use a Beta distribution calculator or software to find this probability, which is approximately 0.086.

(c) To find the new Beta distribution, we need to combine the two samples. We now have a total of 3 defective parts and 17 working parts. Therefore, the new Beta distribution is Beta(3, 17).

(d) Using the Beta(3, 17) distribution, we want to find P(.15 ≤p ≤.25). Again, we can use a Beta distribution calculator or software to find this probability, which is approximately 0.004. This probability is smaller than the one we found in part (b) because the second sample had a lower proportion of defective parts, which reduced our uncertainty about the true defect rate.

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Answer:

A=6/5

B=0.111

C=166 2/3%

Step-by-step explanation:

Answer:

look at photo!

Step-by-step explanation:

on edg:)

The probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.

To solve this problem, we can use Bayes' theorem, which relates the conditional probabilities of two events.

Let A be the event that the athlete has been using the prohibited drug, and let B be the event that the athlete tests positive.

We want to find the probability of A given B, which we can write as P(A | B).

Using Bayes' theorem, we have:

P(A | B) = P(B | A) * \(\frac{P(A) }{P(B)}\)

where P(B | A) is the probability of testing positive given that the athlete has been using the prohibited drug, P(A) is the prior probability of the athlete using the prohibited drug, and P(B) is the overall probability of testing positive, which can be calculated using the law of total probability:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

where P(B | not A) is the probability of testing positive given that the athlete has not been using the prohibited drug, and P(not A) is the complement of P(A), i.e., the probability that the athlete has not been using the prohibited drug.

Using the given information, we can plug in the values:

P(B | A) = 1 - 0.12 = 0.88 (probability of testing positive given the athlete is using the drug)

P(A) = 0.05 (prior probability of the athlete using the drug)

P(B | not A) = 0.04 (probability of testing positive given the athlete is not using the drug)

P(not A) = 1 - P(A) = 0.95 (probability that the athlete is not using the drug)

Then, we can calculate P(B) as:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

= 0.88 * 0.05 + 0.04 * 0.95

= 0.076

Finally, we can calculate P(A | B) as:

P(A | B) = P(B | A) * \(\frac{P(A) }{ P(B)}\)

= 0.88 * \(\frac{0.05 }{ 0.076}\)

= 0.5789

Therefore, the probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.

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Answer:

a = 22

Step-by-step explanation:

We know that YB is the altitude. An altitude basically just means a line straight through the middle. Since we know the measurements of both sides we can solve for a. XB=BZ, so if you solve a + 7 = 2a - 15, then you get your answer.

Answer:

A) 348m^2

Step-by-step explanation:

you just find the area of each individual shape then and all the sides together

Answer:

Answer is 41.4 ft

Step-by-step explanation:

formula for triangle is 1/2 base x height

1/2x4.6x18

=4.6x9

=41.4

so the area = 41.4 ft

Answer:

(-2,1)

Step-by-step explanation:

The solution is where the two equations/lines intersect, which is at (-2,1)

The distance the monster truck travels when the tires make one 360° rotation is equal to the circumference, thus the correct option is c.

Remember that the circle defined by an angle is 360°. So, a 360° rotation is a whole rotation of the circle.

Then the distance moved in that rotation is equal to the perimter (also called the circumference) of the circle.

Where remember that for a circle of radius R, the circumference is given by:

C = 2*pi*R

Where pi = 3.14

Then the correct option is C.

The distance that the monster truck travels is the circumference of the tire.

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Answer:

the increase is by 2

Step-by-step explanation:

You can add 17 plus 2 or subtract 17 from 19.

Answer:

2?

Step-by-step explanation: