16.- Busca el vértice de la parábola con foco en F(3,2). Directriz y = 1
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Answer:

The answer is letter C 5.3

tbh there is no need to compute it because that is the middle of the C to the AB

Given that:

The function to represent the growth of Neveah hair is

\(f(x)=\dfrac{2x+4}{3}\)

where,  x represents the number of months since her last hair cut.

To find:

The inverse of function and time when her hair will have grown 6 inches.

Solution:

We have,

\(f(x)=\dfrac{2x+4}{3}\)

Put f(x)=y.

\(y=\dfrac{2x+4}{3}\)

Interchange x and y.

\(x=\dfrac{2y+4}{3}\)

Isolate y.

\(3x=2y+4\)

\(3x-4=2y\)

\(\dfrac{3x-4}{2}=y\)

Put \(y=f^{-1}(x)\).

\(f^{-1}(x)=\dfrac{3x-4}{2}\)

So, the required inverse function is \(f^{-1}(x)=\dfrac{3x-4}{2}\). It represents the number of months to grow her hair x inches.

She can predict when her hair will have grown 6 inches by putting x=6 in the inverse function.

Put x=6 in the inverse function.

\(f^{-1}(6)=\dfrac{3(6)-4}{2}\)

\(f^{-1}(6)=\dfrac{18-4}{2}\)

\(f^{-1}(6)=\dfrac{14}{2}\)

\(f^{-1}(6)=7\)

Therefore, growth of her hair is 6 inches in 7 months.

Answer:

4/9 = 1/2 x

Step-by-step explanation:  2.84 sands

Answer:

Estimate: $5,000.00

Actual: $6,063.72

Step-by-step explanation:

I would estimate by finding 20 x 250

I know that 10 x 250 would be 2500 and if I double that, I would get 5,000.

Helping in the name of Jesus.

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

             {4,  6}

      C) -  The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

MAKE A PLAN:

List The OUTCOMES for EACH EVENT and their COMBINATIONS:

        a) -  EVENT  "A":  {2, 4, 6, 8}

               EVENT "B":   {3, 4, 5, 6}

               EVENT "A" or "B": {2, 3, 4, 5, 6, 8}

        b) - EVENT "A"  or "B":  {4, 6}

        c) -  The COMPLEMENT of the EVENT "A":  {1, 3, 5, 7}

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

            {4,  6}

      C) - The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

I hope this helps!

Answer:

  D

Step-by-step explanation:

A table shows a proportional relationship if all of the y/x ratios are the same.

  A: 4/3 ≠ 10/6 . . . . not proportional

  B: 6/12 ≠ 12/14 . . . . not proportional

  C: 2/4 ≠ 20/20 . . . . not proportional

  D: 1/5 = 2/10 = ... = 5/25 . . . . proportional relationship

Answer:

D

Step-by-step explanation:

1*5=5

2*5=10

3*5=15

4*5=20

5*5=25

Answer:

  35.8

Step-by-step explanation:

It looks like you want the value of ...

  \(\dfrac{22}{7.8-\left|-3\dfrac{2}{5}\right|}\times(-3)^2-9\dfrac{1}{5}\)

Simplifying and writing the numbers as decimal values, we have ...

  \(\dfrac{22}{7.8 -3.4}\times9-9.2=\dfrac{22}{4.4}\times9-9.2=5\times9-9.2\\\\=45-9.2=\boxed{35.8}\)

4 for 16 would be written as 4/16.

Dividing both numbers by 4 it is simplified to 1/4

4 ounces for every 16 ounces can be written as:

\(\displaystyle \frac{4}{16} =\frac{1}{4}\)

As a ratio, it can be expressed as:

\(1:4\)

Answer:

\(\log_5 8^{M}\)

Step-by-step explanation:

\(\text{We know that,}~ b\log_a c = \log_a c^b\)

Answer:

Step-by-step explanation:

4 to 1

Answer:

4 to 1

Step-by-step explanation:

The perimeter of the trapezoid is given as follows:

44 cm.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The missing side is a side of a right triangle, in which the other side is of 18 - 10 = 8 cm, while the hypotenuse is of 10 cm, hence:

8² + h² = 10²

64 + h² = 100

h² = 36

h = 6.

Hence the perimeter is given as follows:

P = 18 + 10 + 10 + 6 = 44 cm.

The trapezoid is given by the image presented at the end of the answer.

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Answer: There are 22 adults , 12 children and 11 senior citizens on the tour bus.

Step-by-step explanation:

Let adult = x

children = y

senior citizen = z

Given : Total busload (x+ y + z) = 45

Total charge on day 1 = 558 $ = \(15\times x+8\times y+12\times z\)

Total charge on day 2 = 771 $ =  \(20\times x+12\times y+17\times z\)

Now we have 3 equations : x+ y+z =45

\(15\times x+8\times y+12\times z=558\)

\(20\times x+12\times y+17\times z=771\)

Solving for them we get: x= 22 , y = 12 and z= 11

Thus there are 22 adults , 12 children and 11 senior citizens.

The product of the slopes of the perpendicular lines = -1

If the slope of one is m, then the slope of the other is -1/m

The given equation is y = -2x - 1

The form of the equation is y = m x + b, where

m is the slope of the line

So the slope of the given line is m = -2

To find the slope of the perpendicular line reciprocal it and change its sign

The slope of the perpendicular line = 1/2

Substitute it in the form of the equation

y = 1/2 x + b

To find b substitute x and y of the equation by the coordinates of any point on the line

The line passes through point (2, -1), then

x = 2 and y = -1

-1 = 1/2 (2) + b

-1 = 1 + b

Subtract 1 from both sides to find b

-1 - 1 = 1 - 1 + b

-2 = b

The equation of the perpendicular line is

y = 1/2 x - 2

Answer:

00.35 prett simple this fraction

Answer:

The minimum and maximum temperatures in the house are 68.5°F and 76.5°.

To keep the house in heat, the minimum and maximum temperature is set to option 68.5°F and 76.5°F.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The equation |x – 72.5| = 4.

The minimum and maximum temperatures can be found by substituting +4 and -4 in x.

Minimum temperature,

⇒ \(|+4-72.5|=|-68.5|\)

⇒ \(68.5\)

Maximum temperature,

⇒ \(|-4-72.5|=|-76.5|\)

⇒ \(76.5\)

Hence we can conclude that to keep the house in heat, the minimum and maximum temperature is set to option 68.5°F and 76.5°F.

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Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

The value(s) for which the rational expression −5u+12−2u+2 is undefined is u = 1.

The expression or an equation which can be undefined at some point is a celled the radial expression.

f(u) = -5u +12 / -2u +2

For the function to be undefined, denominator must be equal to zero.

-2u +2 =0

-2u =-2

u = 1

Thus, the value for which the given expression is undefined is 1.

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Answer: You lose 8 dollars

Step-by-step explanation:

10 - 2 = 8

10 = the real cost

2 = the priceyou charge

8 = how much you lose

Answer:

I thought it was 3, no wait its 2

Step-by-step explanation:

You are thinking of the Principia Mathematica, written by Alfred North Whitehead and Bertrand Russell. Here is a relevant excerpt:

Picture Below

As you can see, it ends with "From this proposition it will follow, when arithmetical addition has been defined, that 1+1=2." The theorem above, ∗54⋅43, is already a couple of hundred pages into the book (Wikipedia says 370 or so); the later theorem alluded to, that 1+1=2, appears in section ∗102, considerably farther on.

I wrote a blog article a few years ago that discusses this in some detail. You may want to skip the stuff at the beginning about the historical context of Principia Mathematica. But the main point of the article is to explain the theorem above.

The article explains the idiosyncratic and mostly obsolete notation that Principia Mathematica uses, and how the proof works. The theorem here is essentially that if α and β are disjoint sets with exactly one element each, then their union has exactly two elements. This is established based on very slightly simpler theorems, for example that if α is the set that contains x and nothing else, and β is the set that contains y and nothing else, then α∪β contains two elements if and only if x≠y.

The main reason that it takes so long to get to 1+1=2 is that Principia Mathematica starts from almost nothing, and works its way up in very tiny, incremental steps. The work of G. Peano shows that it's not hard to produce a useful set of axioms that can prove 1+1=2 much more easily than Whitehead and Russell do.

Answer:

A. AB = AC because of the definition of an isosceles triangle

B. ∠B = ∠C because corresponding parts of congruent triangles are congruent.

D. BM = CM because of the definition of a midpoint

Step-by-step explanation:

A. An isosceles triangle is a triangle with two equal sides, hence:

AB = AC because of the definition of an isosceles triangle. option A is correct.

D. Since Point M is drawn as the midpoint of BC, hence:

BM = CM because of the definition of a midpoint. Option D is correct.

E. Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. hence AM ≈ AM because of reflexive property.

AM ≈ AM because of the Symmetric Property is wrong. Option E is wrong.

C) The side - side - side (SSS) triangle congruence theorem states that if all the sides of two triangles are equal, then they are congruent triangles.

Since BM = CM, AM = AM and AB = AC, hence ΔABM = ΔACM because of the SSS triangle congruence criterion

ΔABM = ΔACM because of the SAS triangle congruence criterion is wrong. Option C is wrong.

D. Corresponding parts of congruent triangles are congruent. hence:

∠B = ∠C because corresponding parts of congruent triangles are congruent. Option B is correct

Answer:

\(\huge\boxed{Answer\hookleftarrow}\)

\(15b - 6 - 3b + 10 \\ 15b - 3b - 6 + 10 \\ = 12b + 4\)

12b + 4 is in the form nb + m, where,

So,

\( = n + m \\ = 12 + 4 \\ = 16\)

✐ 16 is the correct answer.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

The strength of binding between an inhibitor and an enzyme can depend on several factors, including molecular geometry and charges.

In this case, it is likely that the structure of the inhibitor allows it to fit more snugly into the active site of the enzyme, forming more extensive hydrogen bonds and other non-covalent interactions with the amino acid residues of the enzyme. Additionally, the inhibitor may have specific charge interactions with residues in the active site that are not present with the natural substrate. These interactions can increase the binding energy between the inhibitor and the enzyme, resulting in a stronger binding affinity than that between the substrate and the enzyme.

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There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Similar Rectangles: Two rectangles are similar when the corresponding adjacent sides have the same ratio

Taking the ratios of the Length to breadth

rectangle 1: rectangle 2

The ratio of the sides is 1.25 : 1.5

Since the values are different, the rectangles are not similar

Answer: 237.5 square inches

Step-by-step explanation:

Total surface area  of rectangular prism  = 2 (lw+wh +hl)

, where l= length

w = width

h= height

Given:  A rectangular prism and its dimensions are.

6.5 in.  ,5 in.  ,7.5 in.

Then, the total surface area of this prism  = 2 (6.5×5 + 6.5 × 7.5 + 5×7.5)

= 2 (32.5+ 48.75 + 37.5)

= 2 (118.75)

= 237.5

Hence, the total surface area of this prism = 237.5 square inches

Answer:

237.5

Step-by-step explanation:

took a test

The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.

To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30

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6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)