PLS HELP I'LL MARK BRAINLEST

Answer:

SYNTAX PROPERTY

Step-by-step explanation:

The equation for the leg length, y is y = (P - 2x - 4)/2

The length of the leg "y" is 3 feet

a) Given the perimeter of the trapezoid expressed as:

P=2x + 2y + 4.

We are to make y the subject of the formula as shown:

P = 2(x+y) + 4

P - 2x = 2y + 4

P - 2x - 4 = 2y

Swap

2y = P - 2x - 4

y = (P - 2x - 4)/2

Hence the equation for the leg length, y is y = (P - 2x - 4)/2

b) Give that P = 26 feet and x = 8feet

y = (P - 2x - 4)/2

y = (26 - 2(8) - 4)/2

P = 26-20/2

P = 6/2

y = 3 feet

This shows that the length of the leg "y" is 3 feet

Learn more here: https://brainly.com/question/18370541

One car travel South at 64 mi/h and the other travels west at 48 mi/h. The distance between the cars increases with rate at 80 mi/h.

To find the rate of change, we need to find the derivative of the variables with respect to time.

Let:

p = distance between 2 cars

q = distance between car 1 and the start point

r = distance between car 2 and the start point

Using the Pythagorean Theorem:

p² = q² + r²

Take the derivative with respect to time:

2p dp/dt = 2q dq/dt + 2r dr/dt

dq/dt = speed of car 1 = 64 mi/h

dr/dt = speed of car 2 = 48 mi/h

The distance of car 1 and car 2 from the start point after 4 hours:

q = 64 x 4 = 256 miles

r = 48 x 4 = 192 miles

Using the Pythagorean theorem:

p² =256² + 192²

p = 320 miles

Hence,

2p dp/dt = 2q dq/dt + 2r dr/dt

p dp/dt = q dq/dt + r dr/dt

320  x dp/dt = 256 x 64 + 192  x 48

dp/dt = 80

Hence, the distance between the cars increases with rate at 80 mi/h

Learn more about rate of change here:

https://brainly.com/question/24873957

#SPJ4

As movie ticket prices rise, demand decreases or declines. When the cost of the neighborhood Internet service provider rises, demand likewise decreases. Demand decreases as cappuccino prices rise.

Demand is the quantity of things that consumers are willing and able to purchase at various prices within a specific time frame. The term "demand curve" refers to the relationship between price and quantity demanded. Demand is just a consumer's desire to buy products and services immediately and to pay the price associated with them. Demand can be defined as the quantity of things that consumers are prepared and willing to purchase at various prices within a specific time frame.

Given,

As movie ticket prices rise, demand decreases or declines.

When the cost of the neighborhood Internet service provider rises, demand likewise decreases.

Demand decreases as cappuccino prices rise.

To learn more about demand, visit:

https://brainly.com/question/13774798

#SPJ4

The numbers that are not expressed in scientific notation are D and E.

Scientific notation is a way of writing numbers as a product of a number between 1 and 10 and a power of 10. In scientific notation, the number must be written in the form a x 10^n, where a is a number between 1 and 10, and n is an integer.

In option D, 0.4 x 10^1 can be simplified to 4, which is not written in scientific notation.

In option E, 7.29 x 10^-3 can be simplified to 0.00729, which is also not written in scientific notation.

On the other hand, options A, B, and C are written in scientific notation. In option A, 34.5 x 10^7 can be simplified to 3.45 x 10^8. In option B, 5.02 x 10^3 is already in scientific notation. In option C, 2 x 10^9 is also in scientific notation.

Therefore, the numbers that are not expressed in scientific notation are D and E.

To learn more about scientific notation, click here:

brainly.com/question/16936662

#SPJ11

Answer:19

Step-by-step explanation:2 d -5

                                    2 (12) -5

                                    24-5

                                     =19

By definition of a binomial random variable,  the probability that the machine will be working is 0.82045.

First of all, you should know that the Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.

On the other hand, a random variable is a function that associates a real number, perfectly defined, to each sample point.

A random variable is discrete if the numbers it gives rise to are integers.

Finally, a binomial distribution is a discrete probability distribution that describes the number of successes in performing n independent experiments on a random variable.

The expression to calculate the binomial distribution is:

P(X=x)=(\(n\\ x\)) pˣ qⁿ⁻ˣ

Where:

Remember that:

(\(n\\ x\))=\(\frac{n!}{x!(n-x)!}\)

where the exclamation mark represents the factorial symbol, that is, the product of all positive integers from 1 to n.

A machine has 28 identical components which function independently. The probability that a component will fail is 0.19.

The following random variable is defined:

x= the number of components will stop working.

Being n the total number of pieces (in this case, 12 pieces) and p the probability of success (the piece fails, in this case 0.19), the expression to be used is expressed as:

P(X=x)=(\(12\\ x\)) 0.19ˣ (1-0.19)¹²⁻ˣ

P(X=x)=\(\frac{12!}{x!(12-x)!}\) 0.19ˣ (0.81)¹²⁻ˣ

Since the machine will stop working if more than three components fail, you need to know the probability that the machine will be working if 3 or less than 3 components fail. In other words, it may be that 0, 1, 2 or 3 pieces are broken and the machine continues to work:

P(X≤3)= P(X=0) + P(X=1) + P(X=2) + P(X=3)

Then:

P(X≤3)= \(\frac{12!}{0!(12-0)!}\) 0.19⁰ (0.81)¹²⁻⁰ + \(\frac{12!}{1!(12-1)!}\) 0.19¹ (0.81)¹²⁻¹ + \(\frac{12!}{2!(12-2)!}\) 0.19² (0.81)¹²⁻² + \(\frac{12!}{3!(12-3)!}\) 0.19³ (0.81)¹²⁻³

Solving:

P(X≤3)= \(\frac{12!}{0!12!}\) ×1×(0.81)¹² + \(\frac{12!}{1!11!}\) 0.19×(0.81)¹¹ + \(\frac{12!}{2!10!}\) 0.19²×(0.81)¹⁰ + \(\frac{12!}{3!9!}\) 0.19³×(0.81)⁹

P(X≤3)= 1×1×(0.81)¹² + 12×0.19×(0.81)¹¹ + 66×0.19²×(0.81)¹⁰ + 220×0.19³×(0.81)⁹

P(X≤3)= (0.81)¹² + 2.28×(0.81)¹¹ + 2.3826×(0.81)¹⁰ + 1.50898×(0.81)⁹

P(X≤3)= 0.82045

Finally, the probability that the machine will be working is 0.82045.

Learn more about binomial random variable:

https://brainly.com/question/15246027

https://brainly.com/question/13699715

https://brainly.com/question/14482254

https://brainly.com/question/14867806

#SPJ1

Answer:

(8+2) + (8+2) + (8+2) + (8+2) + (8+2)

Step-by-step explanation:

The distributive property of multiplication allows you to show multiplication as addition.

A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.

Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.

A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.

Learn more about hypothesis from the given link

https://brainly.com/question/32562440

#SPJ11

12. The function represents exponential growth with a growth rate of 65%.

13. The function represents exponential growth with a growth rate of 20%.

14. The function represents exponential decay with a decay rate of 60%.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

An exponential function will represent growth or decay as follows:

Hence we just look at the b values for each function to verify if they represent growth or decay.

More can be learned about exponential functions at brainly.com/question/2456547

#SPJ1

The formula used is \($N(t) = N_0 e^{rt}$\). If a new social network has 1000 users currently and at growth rate of 10% per month, it can be predicted that there will be approximately 2452 users in seven and a half months assuming similar exponential growth.

In the formula used in the spreadsheet model for measuring exponential growth i.e. \($N(t) = N_0 e^{rt}$\)

N(t) is the number of cases at time t

N₀ is the initial number of cases

e is the mathematical constant approximately equal to 2.71828

r is the growth rate (expressed as a decimal)

To adapt this formula to predict the number of users of a new social network, we can replace the variables with the appropriate values. For example, if the new social network has 1000 users currently and is growing at a rate of 10% per month, we can write:

N(t) = 1000 x \(e^{rt}$\)

To find the predicted number of users in seven and a half months, we can substitute t = 7.5 into the equation and solve for N(7.5):

N(7.5) = 1000 x \(e^{rt}$\)

N(7.5) ≈ 2452.22

Therefore, we would expect to have approximately 2452 users on the new social network in seven and a half months if it continues to experience similar exponential growth.

Learn more about growth rate :

https://brainly.com/question/30764119

#SPJ4

The complete question is :

What is the formula used in the spreadsheet model discussed in this module for measuring exponential growth of an epidemic, and how can it be adapted to predict the number of users of a new social network at a future date assuming similar exponential growth? In particular, if the new social network has 1000 users currently and is growing at a rate of 10% per month, how many users would we expect to have in seven and a half months?

Given:

x = 6

The value for y isn't given, it can also mean that there is no value of y, therefore, we can presume that the value of y is equal to 0.

Therefore, we can say that the x-intercept which is the x value, is equal to 6 and the y-intercept is 0.

Answer:

73.2x - 9

Step-by-step explanation:

Answer:

7.32 x 10-9 =64.2

Step-by-step explanation:

Answer:

a] 2pi/3

this is the answer

Answer: 450

Step-by-step explanation:

Find the prime factorization of the two numbers (using a factor tree)

90 = 2 * 3 * 3 * 5

150 = 2 * 3 * 5 * 5

(The common factors are bolded)

To find LCM, multiply all the factors from the two prime factorizations

However, only multiply the common ones once

2 * 3 * 3 * 5 * 5 = 450

Answer:

Each undershirt costs $2.99 when purchased individually.

Step-by-step explanation:

The problem says that $13.98 is $3.96 less than the cost of buying 6 individual shirts which means that the total cost of buying 6 individual shirts is $17.94.

To find the price of 1 individual shirt, you divide 17.94 by 6. When you do this, you get $2.99. $2.99 is the cost of each undershirt when purchased individually.

Hope this helps!

The second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.

To determine which airplane has a higher altitude, we can compare the decimal parts of the altitudes provided.

The first airplane is flying at a height of 37,890.52 kilometers, and the second airplane is flying at a height of 37,890.89 kilometers. Comparing the decimal parts, we can see that 0.52 is smaller than 0.89.

In the decimal system, as the digits move to the right of the decimal point, their value decreases. So, when comparing two numbers with the same whole part (37,890 in this case), the one with a higher decimal part will be greater.

Therefore, the second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.

Learn more about statistics here:

https://brainly.com/question/15525560

#SPJ8

Answer:

Border City is 1488 Miles

Step-by-step explanation:

Do 248*6

Answer:

The ratio of 36: 12 is 3: 1

Step-by-step explanation:

36/12=3

12/12=1

Answer:

3:1

Step-by-step explanation:

$36: $12

3:1

Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Answer:

the dept shoudk be 3.4 because it increase by 1.1

Correlation coefficients based on observational studies can provide useful information about the strength and direction of the relationship between two variables.

This is due to the fact that correlation does not always imply causation. Even if two variables are highly linked, this does not imply that changes in one cause changes in the other. Other factors may be responsible for the observed association, and these factors may be confounding variables that were not taken into account in the analysis.

A well-designed experimental study that allows for manipulation of one variable and observation of the effect on the other variable while controlling for confounding variables is required to establish a causal relationship between two variables. Such tests are intended to show cause-and-effect linkages by demonstrating temporal precedence and excluding alternate explanations for the observed relationship.

For such more question on Correlation:

https://brainly.com/question/4219149

#SPJ4

Answer:

\((x + 2)(5x + 2)\)

Step-by-step explanation:

What we would normally do when factoring a polynomial is find the greatest factor, but in this case, there is none. What we do then is multiply the coefficient of the first term by the last term.

So in this case, that expression would be...

\(5 * 4 = 20\)

Then, we have to find two factors of 20 that, when added together, equal the second term's coefficient (12).

These factors would be 2 and 10.

\(2 * 10 = 20\\\\2 + 10 = 12\)

We then replace the second term in the polynomial with \(10x + 2x\). This ends up looking like this:

\(5x^2 +10x + 2x +4\)

Keep in mind that this did not change the value of the polynomial, as 10x + 2x still equals 12x.

This new expression lets us use a technique called group factoring. To start group factoring, we need to take out the greatest common factor (GCF) of the first two terms. That ends up looking like this:

\(5x(x + 2)\)

Then, we do the same thing with the last two terms.

\(2(x + 2)\)

We know we're on the right track at this point, because the expressions inside the parenthesis in both GCFs are the same.

The last step is combining the terms on the outside of the parenthesis, and multiplying it with what's inside the parenthesis. The final answer looks like this.

\((x + 2)(5x + 2)\)

In a linear time-invariant system, the zero-state response (ZSR) is the output of the system when the input is zero, assuming all initial conditions (such as initial voltage or current) are also zero.

(a) For H1(s) = 1, the zero-state response Yzs(s) is simply the product of the transfer function H1(s) and the input Ei(s):

Yzs(s) = H1(s) * Ei(s) = (45+2)

To find the time-domain zero-state response yzs(t), we need to take the inverse Laplace transform of Yzs(s):

yzs(t) = L^-1{Yzs(s)} = L^-1{(45+2)} = 45δ(t) + 2δ(t)

where δ(t) is the Dirac delta function.

(b) For H2(s) = 45+1, the zero-state response Yzs(s) is again the product of the transfer function H2(s) and the input E2(s):

Yzs(s) = H2(s) * E2(s) = (45+1)E2(s)

To find the time-domain zero-state response yzs(t), we need to take the inverse Laplace transform of Yzs(s):

yzs(t) = L^-1{Yzs(s)} = L^-1{(45+1)E2(s)} = (45+1)e^(t/2)u(t)

where u(t) is the unit step function.

(c) For H3(s) = ns, the zero-state response Yzs(s) is given by:

Yzs(s) = H3(s) * E3(s) = ns * 542

To find the time-domain zero-state response yzs(t), we need to take the inverse Laplace transform of Yzs(s):

yzs(t) = L^-1{Yzs(s)} = L^-1{ns * 542} = 542L^-1{ns}

Using the inverse Laplace transform from problem 1, we have:

yzs(t) = 542 δ'(t) = -542 δ(t)

where δ'(t) is the derivative of the Dirac delta function.

(d) For H4(s) = 2e^(-4s) / (s+3)(4s+1), the zero-state response Yzs(s) is given by:

Yzs(s) = H4(s) * E4(s) = (2e^(-4s) / (s+3)(4s+1)) * (1/(s+3))

Simplifying the expression, we have:

Yzs(s) = (2e^(-4s) / (4s+1))

To find the time-domain zero-state response yzs(t), we need to take the inverse Laplace transform of Yzs(s):

yzs(t) = L^-1{Yzs(s)} = L^-1{(2e^(-4s) / (4s+1))}

Using partial fraction decomposition and the inverse Laplace transform from problem 1, we have:

yzs(t) = L^-1{(2e^(-4s) / (4s+1))} = 0.5e^(-t/4) - 0.5e^(-3t)

Therefore, the zero-state response for each of the four LTIC systems is:

(a) Yzs(s) = (45+2), yzs(t) = 45δ(t) + 2δ(t)

(b) Yzs(s) = (45+1)E2(s), yzs(t) = (45+1)e^(t/2)u(t)

(c) Yzs(s) = ns * 542, yzs(t) = -542 δ(t)

(d) Yzs(s) = (2e^(-4s) /

To learn more about derivative visit:

brainly.com/question/30365299

#SPJ11

Answer:

The answer is C.

Step-by-step explanation:

You add,, you don't multiply. Both A and B are not choices.

One of C or D is correct.

That r should be an x according to the attachment.

The answer is add 1 to both sides.

3x - 1 = 7

   +1    +1

3x = 8

So you are adding 1 to both sides. The answer is C

To establish congruence between two geometric figures, it is necessary to have information about their size and shape. This includes information about the lengths of their sides and the measures of their angles. It may also be necessary to know the relative positions of the figures, such as whether they are oriented in the same way or whether one is a reflection of the other.

To show that two figures are congruent, it is usually necessary to use one or more of the following techniques:

Superimpose the figures: This involves placing one figure directly on top of the other so that corresponding parts are aligned. If the figures are congruent, they will fit exactly on top of each other and no gaps or overlaps will be visible.

Use a ruler or other measuring tool: By measuring the lengths of the sides and angles of the two figures, it is possible to determine whether they are congruent. If all of the measures are the same, the figures are congruent.

Use transformations: Congruent figures can be obtained from each other through translations, rotations, and reflections. By applying these transformations to one of the figures, it is possible to determine whether it can be made to match the other figure.

Use geometric principles: There are various geometric principles that can be used to establish the congruence of two figures. For example, the AA (Angle-Angle) Congruence Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are congruent.

To know more about Congruence visit :

https://brainly.com/question/6108628?referrer=searchResults

#SPJ4

Answer: 0.30555555555

Step-by-step explanation:

Zero-point energy is the lowest energy state of a quantum system at absolute zero temperature.

Zero-point energy is the lowest energy state of a quantum system at absolute zero temperature. To calculate the zero-point energy, the energy of the system must first be determined at the lowest temperature that can be achieved in practice, typically close to absolute zero. The energy at this temperature is then subtracted from the energy of the system at higher temperatures. This difference is the zero-point energy. The zero-point energy can be calculated by taking the sum of the energies of all of the quantum states at absolute zero. This sum can be approximated using the uncertainty principle and the Heisenberg Uncertainty Principle. The sum is then multiplied by Planck's constant to get a value for the zero-point energy. Finally, the total zero-point energy is the sum of the individual zero-point energy values of each quantum state. This energy represents the energy of the system at absolute zero and is the lowest energy state possible.

Learn more about temperature here

https://brainly.com/question/14878207

#SPJ4

Answer:

y=2

because 4x2 =8 then 8-4 equals to 4 which is what your trying to get

Answer:

1/3

Step-by-step explanation:

as 1/6 for a one and 1/6 for a 2 and 1/6 + 1/6 is 2/6 or 1/3