May I please receive help?

Answer:

4.) y=x-16

Step-by-step explanation:

Here,

y=4,

x=20

Now,

putting the value of x and y.

or, 4=20-16

or, 4+16=20

∴20=20

The side lengths of the triangle are:

Longer side= 36m, shorter side= 27m and hypotenuse=45m

Here, we have,

Let x be the longer leg of the triangle

According to the problem, the shorter leg of the triangle is 9 shorter than the longer leg, so the length of the shorter leg is x - 9

The hypotenuse is 9 longer than the longer leg, so the length of the hypotenuse is x + 9

We know that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. So we can use the Pythagorean theorem:

(x + 9)² = x² + (x - 9)²

Expanding and simplifying the equation:

x² + 18x + 81 = x² + x² - 18x + 81

x²-36x=0

x=0 or, x=36

Since, x=0 is not possible in this case, we consider x=36 as the solution.

Thus, x=36, x-9=27 and x+9=45.

Read more about right angle triangles:

brainly.com/question/12381687

#SPJ4

As new evidence emerges, scientific theories are continually refined, revised, or even replaced. This ongoing process is essential to the advancement of scientific knowledge and understanding.

A series of testable hypotheses that are linked up in a coherent manner in order to explain a body of material evidence is called a scientific theory. A scientific theory is a well-substantiated explanation of a particular aspect of the natural world, based on empirical evidence and rigorous testing.

Here is a step-by-step explanation of how a scientific theory is developed:

1. Observation: Scientists observe a natural phenomenon or pattern in the world, gathering data and evidence.

2. Question: Based on the observations, scientists develop a research question to explore the phenomenon further.

3. Hypothesis: A hypothesis is a testable prediction or explanation for the observed phenomenon, derived from existing knowledge or understanding.

4. Experimentation: Scientists design and conduct experiments to test the hypotheses, collecting data and analyzing the results to determine if the hypothesis is supported or refuted.

5. Data Analysis: The data collected from the experiments is carefully analyzed, and any patterns or trends are identified.

6. Conclusion: Based on the data analysis, scientists draw conclusions about the validity of the hypothesis. If the hypothesis is supported, it can be incorporated into a broader scientific theory.

7. Peer Review: The scientific findings are shared with the broader scientific community, and other researchers independently review and assess the work to ensure its validity.

8. Replication: Other scientists attempt to replicate the experiments and findings to confirm the accuracy of the results.

for such more questions on natural phenomenon

https://brainly.com/question/6258118

#SPJ11

It gradually decreases as alcohol is metabolized. The function C(t)=0.135 t e^{-2.802 t}models the mean BAC measured in g/mL.

The maximum average BAC during 3 hours is 0.0001358 g/mL.

f(t) = α t e−βt --(1)

Let's rewrite this in a simple form:

f(t)= α eˡⁿ ᵗ e⁻βt = αe^(ln t −βt)

Since e^x is strictly increasing and it will be maximized exactly when its argument is maximized, so we can maximize instead:

g(t)=ln t −βt

differentiating with respect to t , and g'(t) = 0

g′(t)=1/t − β = 0

=> t =1/β

we have given a function

C(t)=0.135 t e⁻²·⁸⁰²ᵗ

if we compare it with (1) we get

β = 2.802, 0.135 = α

For it's maximized we need to check the second order condition, and that of g will differentiate again , g′′(t)= −1/t² < 0

We have to compute the derivative of C(t):

C′(t) = 0.135 t⋅(−2.802)e⁻²·⁸⁰²ᵗ + 1.35e⁻²·⁸⁰²ᵗ

For optimum at t₀ if C′(t₀)=0 and C′′(t₀)≠0. Here, we have

C′(t₀) = 0.135t₀⋅(−2.802)e⁻²·⁸⁰²ᵗ₀+ 0.135e⁻²·⁸⁰²ᵗ₀ =e⁻²·⁸⁰²ᵗ₀(−0.135* 2.802t₀+ 0.135)=0

It is clear that e⁻²·⁸⁰²ᵗ₀ not equal to zero for all t₀∈R, so that

=> −0.135* 2.802t₀+0.135=0

=> t₀ = 1/2.802 ≈0.36

let us consider t is in hours, so that it makes t₀ =0.36h≈21.41min. This is the only optimum and one should verify it is indeed a maximum, i.e. C′′(t₀)<0.

Now, easily compute the maximum average BAC, which is C(t₀)=C(0.36) = 0.135 (0.36)e⁻²·⁸⁰²⁽⁰·³⁶⁾

= 0.0486(0.3678) = 0.01787508

Hence, the maximum average BAC, is 0.017 g/dL.

Maximum average BAC during the first 3 hours,

t = 3 , C(t)=C(3) = 0.135 (3)e⁻²·⁸⁰²⁽³⁾ = 0.0001358 g/mL

To learn more about Exponential function, refer:

https://brainly.com/question/12626186

#SPJ4

Matrix-vector multiplication is a linear operation because it satisfies the properties of scalar multiplication and vector addition, which are a(u+v) = au + av and a(cu) = cau, where a is a scalar and u and v are vectors.

Matrix-vector multiplication is a fundamental operation in linear algebra, where a matrix is multiplied by a vector to produce another vector. This operation is considered linear because it adheres to certain properties.

The first property is scalar multiplication, which states that multiplying a vector u by a scalar a and adding it to another vector v (a(u+v)) is equivalent to multiplying u by a (au) and v by a (av) separately and then adding the results (au + av). In other words, the operation distributes over vector addition.

The second property is the distributive property of scalar multiplication, which states that multiplying a vector u by a scalar c and then multiplying the resulting vector (cu) by another scalar a is equivalent to multiplying u by the product of the two scalars (cau). This property allows the scalar multiplication to be distributed over scalar multiplication.

These properties ensure that matrix-vector multiplication preserves the linearity of the underlying vector space. They enable the manipulation and analysis of systems of linear equations, transformations, and other mathematical operations involving matrices and vectors.

Learn more about distributive property here: https://brainly.com/question/30321732

#SPJ11

100 points literally down the drain guys

Answer:

Michael's take home pay from each job are;

\(\begin{array}{cccc}Gross \ Income& Take \ home \ Pay\\\$1,250& \$1,100\\\$1,525 &\$1,342\\\$1,850&\$1,628\\\$2,200&\$1,936\\\\Sum&\$6,006\end{array}\\\)

Step-by-step explanation:

The given parameters are;

The percentage of Michael's income that he estimates will go to his taxes = 12%

The number of jobs Michael has = Four jobs

The table Michael created can be presented and the estimated taxes and the take home pay entered as follows;

Tax owed = Gross income × Tax percent

Take home pay = Gross income - Tax owed

\(\begin{array}{cccc}Gross \ Income& Multiplied \ by \ Tax \ Percent &Taxes \ Owed& Take \ home \ Pay\\\$1,250&\times \ 0.12 =&\$150& \$1,100\\\$1,525 &\times \ 0.12 =&\$183&\$1,342\\\$1,850&\times \ 0.12 =&\$222&\$1,628\\\$2,200&\times \ 0.12 =&\$264&\$1,936\\\\Sum&&\$819&\$6,006\end{array}\\\)

Answer:

Step-by-step explanation:

chiều dài:x,x>0

chiều   rộ:y

\(\left \{ {({x+y)*2=326} \atop {xy=6370}} \right.\)

\(\left \{ {{x+y=163} \atop {xy=6370}} \right.\)

\(\left \{ {{y=163-x} \atop {xy=6370}} \right.\)

\(\left \{ {{y=163-x} \atop {x*(163-x)=6370}} \right.\)

\(\left \{ {{y=163-x} \atop {163x-x^{2} =6370}} \right. \\\)

\(\left \{ {{y=163-x} \atop {x_{1} =98; x_{2} =65}} \right.\)

\(\left \{ {{y=65} \atop {x=98}} \right.\)

Answer:

2 and -3

Step-by-step explanation:

The reason why these are the answers is because if you put it in your graphics calculator then you can see the only points where the diagram intersects with the x-axis would be at points 2 and -3 :)

Answer:

(i) For \(2\cdot h\), the volume is \(96\pi\) cubic centimeters.

(ii) For \(5\cdot h\), the volume is \(240\pi\) cubic centimeters.

(iii) For \(\frac{h}{2}\), the volume is \(24\pi\) cubic centimeters.

(iv) For \(\frac{h}{5}\), the volume is \(9.6\pi\) cubic centimeters.

Step-by-step explanation:

The volume of the cylinder (\(V\)), measured in cubic centimeters, is defined by the following formula:

\(V = \pi\cdot r^{2}\cdot h\) (1)

Where:

\(r\) - Radius, measured  in centimeters.

\(h\) - Height, measured in centimeters.

From statement, we understand that volume of the cylinder is directly proportional to its height. That is:

\(V \propto h\)

\(V = k\cdot h\) (2)

Where \(k\) is the proportionality constant, measured in square centimeters.

In addition, we eliminate this constant by constructing the following relationship:

\(\frac{V_{2}}{V_{1}} = \frac{h_{2}}{h_{1}}\)

\(V_{2} = \frac{h_{2}}{h_{1}} \cdot V_{1}\) (3)

Based on (3) and knowing that \(V_{1} = 48\pi\), we calculate the volumes for each height ratio:

(i) For \(2\cdot h\), the volume is \(96\pi\) cubic centimeters.

(ii) For \(5\cdot h\), the volume is \(240\pi\) cubic centimeters.

(iii) For \(\frac{h}{2}\), the volume is \(24\pi\) cubic centimeters.

(iv) For \(\frac{h}{5}\), the volume is \(9.6\pi\) cubic centimeters.

Answer:

B and C

Step-by-step explanation:

These said 2 factors so it is like a times b…(a+b) also represents a factor so b and c are your answers

The solid is bounded above by the paraboloid `z = 4 - x^2 - y^2` and below by the circular disk `x^2 + y^2 ≤ 4`.

The volume of the solid can be calculated using a double integral over the circular disk. In polar coordinates, the circular disk is given by `0 ≤ r ≤ 2` and `0 ≤ θ ≤ 2π`.

The volume of the solid is given by the double integral `V = ∬(4 - x^2 - y^2) dA`. In polar coordinates, this becomes `V = ∬(4 - r^2) r dr dθ`. Evaluating this integral gives `V = ∫[0, 2π] ∫[0, 2] (4r - r^3) dr dθ = ∫[0, 2π] (8 - 4) dθ = 8π`. Therefore, the volume of the solid is `8π` cubic units.

learn more about solid

https://brainly.com/question/28620902

#SPJ11

The probability of selecting a consonant is 0.619

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

The phrase is = "Terrace Park Wolves rule"

The number of letters in the phrase = 21 letters

The number of consonants in the phrase = 13 letters

Now ,

The probability of choosing a consonant from the given set of letters =
number of letters in the phrase / number of consonants in the phrase

Probability of choosing a consonant from the given set of letters = 13 / 21

Probability of choosing a consonant from the given set of letters = 0.619

Hence , The probability of selecting a consonant is 0.619

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ5

Answer:

1

Step-by-step explanation:

The use of

Parenthesis(1+2)=3

Exponents- none

Multipy- 2 times the 3 is 6

Divide 6/6 is 1

Add- none

Subtract- none

Answer:

9

Step-by-step explanation:

you should have  search it up :)

HAVE A GREAT DAY

The current system, where guests divide themselves equally between four lines, results in the lowest customer waiting time.

To determine which system results in the lowest customer waiting time, we need to compare the two systems: the current system where guests divide themselves equally between four lines and the proposed system where guests wait in a single line.

Let's calculate the average waiting time for each system:

Current system:

In the current system, guests divide themselves equally between four lines. Each line is served by a hotel clerk, and the average service time is 10 minutes.

Using the M/M/4 queueing model, we can calculate the average waiting time \((W_q)\) for a customer in the current system:

\(W_q = (\rho^2 / (1 - \rho)) * (1 / (\mu - \lambda))\)

where:

ρ = traffic intensity = λ / (4 * μ)

λ = arrival rate = 12 guests per hour

μ = service rate = 1 customer per 10 minutes (which is equivalent to 6 customers per hour)

Let's calculate ρ:

ρ = (12 / (4 * 6)) = 0.5

Substituting ρ into the formula for \(W_q\):

\(W_q = (0.5^2 / (1 - 0.5)) * (1 / (6 - 12))\)

= 0.25 * (-1 / 6)

= -0.0417 hours

Since the waiting time cannot be negative, we can assume the average waiting time for a customer in the current system is 0.0417 hours, or approximately 2.5 minutes.

Proposed system:

In the proposed system, guests wait in a single line and proceed to the next available clerk. The average service time is still 10 minutes.

Using the M/M/1 queueing model, we can calculate the average waiting time \((W_q)\) for a customer in the proposed system:

\(W_q = (\rho / (1 - \rho)) * (1 / (\mu - \lambda))\)

where:

ρ = traffic intensity = λ / μ

λ = arrival rate = 12 guests per hour

μ = service rate = 1 customer per 10 minutes (which is equivalent to 6 customers per hour)

Let's calculate ρ:

ρ = (12 / 6) = 2

Substituting ρ into the formula for \(W_q\):

\(W_q\) = (2 / (1 - 2)) * (1 / (6 - 12))

= -2 * (-1 / 6)

= 0.3333 hours

The average waiting time for a customer in the proposed system is 0.3333 hours, or approximately 20 minutes.

Comparing the two waiting times, we find that the current system has a lower customer waiting time (2.5 minutes) compared to the proposed system (20 minutes).

Therefore, the current system, where guests divide themselves equally between four lines, results in the lowest customer waiting time.

To know more about customer refer here:

https://brainly.com/question/29255658

#SPJ4

I have chosen the consumer electronics industry for my sample business model.

Pricing: In the consumer electronics industry, pricing is highly competitive. To make a profit, I will need to price my products competitively while still covering my costs. I will do this by sourcing high-quality, affordable components and negotiating with suppliers to get the best possible prices.

Marketing: To attract customers, I will focus on marketing my products through targeted advertising on social media platforms, as well as through partnerships with influencers and tech bloggers. I will also offer regular promotions and discounts to incentivize purchases.

Location: In the consumer electronics industry, location is less important than online presence. Therefore, I will focus on building a strong online presence through a user-friendly website and active social media accounts.

Costs: My main costs will be the cost of goods sold (i.e., the cost of the components and manufacturing), as well as marketing and advertising costs. I will also need to factor in the cost of shipping and fulfillment.

Profit: My profit will come from the difference between the price I sell my products for and the costs associated with producing and selling those products. By sourcing affordable components and keeping my marketing costs low, I expect to make a healthy profit in the consumer electronics industry.

More extra information on writing sample business models can be obtained here: https://brainly.com/question/13397493

#SPJ11

Answer:

860.2

Step-by-step explanation:

880 x 0.15 = 132

880 - 132 = 748

748 x 0.15 = 112.2

748 + 112.2 = 860.2

Answer:

Step-by-step explanation:

Answer:

EH IT WILL BE 20,000

Step-by-step explanation:

Answer:

Height of the cylinder = 15

Step-by-step explanation:

According to the question, TSA=968

TSA of cylinder=2π r (r+h2*22 / 7*7 (7+h) = 968

2*22 (7+h) = 968

(7+h) = 968/44

7+h=22

h = 22-7

= 15 cm

There is not enough information to compare the two probabilities.

To compare P(10th Grade u Type A) with P(10th Grade | Type A), let's break down what each probability represents.

P(10th Grade u Type A) refers to the probability of a student being in the 10th grade and also being Type A.

This probability can be calculated by dividing the number of students who are both in the 10th grade and Type A by the total number of students.

P(10th Grade | Type A) refers to the probability of a student being in the 10th grade given that they are Type A.

This probability can be calculated by dividing the number of Type A students who are in the 10th grade by the total number of Type A students.

Based on the given table, we have the following information:

Type A: 55 students

Type B: 48 students

10th Grade: 75 students

11th Grade: 22 students

To calculate the probabilities, we need additional information about how the Type A and Type B students are distributed across the 10th and 11th grades.

Without this information, we cannot determine the values of P(10th Grade u Type A) or P(10th Grade | Type A).

For similar questions on probabilities

https://brainly.com/question/251701

#SPJ11

Answer:

5 x T = L

Step-by-step explanation:

Answer:

C. Volume

Step-by-step explanation:

C. Volume  of a  right pyramid with base area B and height h, is

1/3Bh.

Answer:

the distance between points M(2,6) and N(3,1)

MN = \(\sqrt{(3 -2)^{2} + (1 - 6)^{2} }\) =\(\sqrt{26}\)

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer:

They made 36 three-point field goals

Step-by-step explanation:

For free throws , we have one point each.

So here, the total points they made from free throws is 22 * 1 = 22 points

So the number of points made from field goals would be 184-22 = 162 points

So the issue we have now is knowing the number of 3-point field goals that was made.

How can we get this?

Remember they made 85 baskets? so if we subtract the number of free throws, then we can have the number of field throws and that is 85-22 = 63

Now, let the number of 2 points throws be x and the number of 3 points throws be y

From our earlier analysis;

x + y = 63 ••••••••• (i)

Now the total number of three pointers would be 3 * y = 3y and the total number of two pointers would be 2 * x = 2x

Adding both gives a total of 162

Thus;

2x + 3y = 162 •••••••• (ii)

So we have two equations to solve simultaneously.

From equation 1, we can say that;

x = 63-y

Let’s substitute this into equation 2

2(63-y) + 3y = 162

126 -2y + 3y = 162

126+y = 162

y = 162-126

y = 36

This means that they made 36 three-point field goals

Answer:

They made 36 three-point field goals during the game

Step-by-step explanation:

The probability that the digit that is received (after having been transmitted across the 4 channels) is 0.3645

In communication systems, it is common to face the challenge of transmitting information accurately over a noisy channel. In this scenario, errors can occur during transmission, and it is essential to quantify the probability of receiving the correct information at the end of the channel.

In this problem, we are asked to calculate the probability that the digit received after transmitting a 0 across four channels is also a 0. We know that each channel can either transmit the digit correctly with probability 0.9 or incorrectly with probability 0.1. Therefore, we can use the concept of conditional probability to solve this problem.

Using Bayes' theorem, we can rewrite this as:

P(CCCC | 0 received) x P(0 received) / P(CCCC)

Here, P(CCCC | 0 received) represents the probability that all four channels transmitted the 0 correctly, given that a 0 was received. This probability can be calculated as:

P(CCCC | 0 received) = P(C) x P(C | C) x P(C | C | C) x P(C | C | C | C)

Substituting the given probabilities, we get:

P(CCCC | 0 received) = 0.9 * 0.9 * 0.9 * 0.9 = 0.6561

Similarly, we can calculate the probability of receiving a 0 in general as:

P(0 received) = P(CCCC | 0 received) x P(0) + P(IIII | 0 received) x P(1)

where P(IIII | 0 received) represents the probability that all four channels transmitted the digit incorrectly, given that a 0 was received. This probability can be calculated similarly as:

P(IIII | 0 received) = P(I) * P(I | I) x P(I | I | I) x P(I | I | I | I) = 0.1 x 0.1 x 0.1 x 0.1 = 0.0001

Substituting the given probabilities, we get:

P(0 received) = 0.6561 x 0.5 + 0.0001 x 0.5 = 0.3281

Finally, we can calculate the denominator P(CCCC) as:

P(CCCC) = P(CCCC | 0 received) x P(0) + P(CCCC | 1 received) x P(1)

where P(CCCC | 1 received) represents the probability that all four channels transmitted the digit correctly, given that a 1 was received. This probability can be calculated similarly as:

P(CCCC | 1 received) = P(I) x P(I | C) x P(I | C | C) x P(I | C | C | C) = 0.1 x 0.9 x 0.9 x 0.9 = 0.0729

Substituting the given probabilities, we get:

P(CCCC) = 0.6561 * 0.5 + 0.0729 * 0.5 = 0.3645

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4

The area of the triangle ΔKLM, obtained using Routh's theorem is 4/13

Routh Theorem outlines the ratio relationship between the triangle formed by three cevians of a triangle and the area of the original triangle.

Mathematically it states that the ratios (x, y, and z) of the segments formed the intersection of the cevians and the three sides of the triangle produces the area of the triangle when expressed in the form;

A = (x·y·z - 1)² ÷ ((x·y + y + 1)·(y·z + z + 1)·(z·x + x + 1)).

The specified dimensions are;

BD : DC = CE : EA = A_F: FB  = 1 : 3

The point of intersection of AD, BE and CF = K, L, and M

Area of triangle ΔABC = 1

The area of triangle ΔKLM is found as follows;

Where the length of AB = 4 units, we get;

Length of A_F = 1 unit and the length of FB = 3 units

We get;

BD/DC = x, CE/EA = y, A_F/FB = z

x = y = z = 1/3

Routh's theorem states that the area of the triangle formed by AD, BE, and CF is obtained using the formula;

Area of ΔKLM = (x·y·z - 1)² ÷ ((x·y + y + 1)·(y·z + z + 1)·(z·x + x + 1))

Plugging in the values of x, y, z, we get;

x = y = z, therefore;

Area of ΔKLM, A = (x³ - 1)² ÷ ((x² + x + 1)·(x² + x + 1)·(x² + x + 1))

A = (x³ - 1)² ÷ ((x² + x + 1)³)

x = 1/3, therefore;

A = ((1/3)³ - 1)² ÷ (((1/3)² + (1/3) + 1)³) = 4/13

Learn more on the area of a triangle here: https://brainly.com/question/17141566

#SPJ1

Answer:

U is Union

Step-by-step explanation:

In math, the symbol U represents the union of two sets.