Let f(x)=(5)^(x)+12 Evaluate f(0) without using a calculator. Do not include f(0) in your answer.

Answer:

sin M = NK/MK = m/n

cos K = NK/MK = m/n

=> sin M/cos K = 1

Answer:

18x + 28 is the perimeter

Step-by-step explanation:

As perimeter is the som of all side

So    P = 6x+8 + 3x+6 + 6x+5 + 2x+2 + 3 + x+4

          = 6x+3x+6x+2x+x + 8+6+5+2+3+4

         = 18x + 28

Answer:

Step-by-step explanation:

disc.=b²-4ac=2²-4×1×5=4-20=-16<0

it has imaginary roots.

The running time of the given algorithms is \(O(n^2)\), where n represents the input size.

The given problem asks us to determine the running time of the algorithms. Let's assume the input size is represented by 'n'. We need to analyze the code to determine its time complexity.

Upon inspection, we can see that there is a loop nested inside another loop. The outer loop runs 'n' times, and the inner loop also runs 'n' times. This results in a total of n * n = \(n^2\) iterations.

The time complexity of nested loops is determined by multiplying their respective iterations. In this case, the outer loop iterates 'n' times, and for each iteration, the inner loop iterates 'n' times as well. Therefore, the overall running time is \(O(n^2)\).

This means that the running time of the algorithms grows quadratically with the input size. As the input size increases, the running time increases exponentially.

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a. True. The statement {x} ∈ {x} single element is true .

b. False. The statement If A ⊆ B ∪ C, then A ⊆ B or A ⊆ C is false .

c. False. The statement |A × B| ≥ |A| for all sets A and B is false.

d. True. The statement The multiplication of any rational number with an irrational number is irrational is true

e. True. The statement In any group of 25 or more people, there are at least three of them who were born in the same month is true.

f. True. The statement Suppose there are 4 different types of ice cream you like.

(a) True. The statement {x} ∈ {x} is true because {x} is a set that contains a single element, which is x. Therefore, {x} is an element of itself.

(b) False. The statement If A ⊆ B ∪ C, then A ⊆ B or A ⊆ C is false. It is possible for A to be a subset of B ∪ C without being a subset of either B or C. For example, let A = {1}, B = {1, 2}, and C = {3}. Here, A is a subset of B ∪ C, but A is not a subset of either B or C.

(c) False. The statement |A × B| ≥ |A| for all sets A and B is false. The cardinality (number of elements) of the Cartesian product of sets A and B, denoted |A × B|, is equal to the product of the cardinalities of A and B, i.e., |A × B| = |A| × |B|. Therefore, if |A| > 0 and |B| > 0, then |A × B| = |A| × |B|, which implies that |A × B| ≥ |A| only if |B| ≥ 1. However, if |B| = 0 (an empty set), then |A × B| = 0, which is less than |A|.

(d) True. The statement The multiplication of any rational number with an irrational number is irrational is true. When you multiply a non-zero rational number with an irrational number, the result is always irrational. This is because the product of a non-zero rational number and an irrational number cannot be expressed as a ratio of two integers, which is the defining characteristic of irrational numbers.

(e) True. The statement In any group of 25 or more people, there are at least three of them who were born in the same month is true. This is known as the pigeonhole principle or the birthday paradox. Since there are only 12 months in a year, if there are 25 or more people in a group, then there must be at least three people who share the same birth month.

(f) True. The statement Suppose there are 4 different types of ice cream you like. You must eat at least 25 random ice creams to guarantee that you have had at least 6 samples of one type is true. This is an application of the pigeonhole principle as well. If there are 4 different types of ice cream and you want to guarantee that you have had at least 6 samples of one type, then you would need to keep choosing ice creams until you have selected at least 25 of them. This ensures that you have enough chances to have at least 6 samples of one type.

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Answer:

the answer is C. the lines cross or meet at exactly on point only.

Experimental and quasi-experimental designs share similarities in terms of their focus on investigating cause-and-effect relationships. These designs both involve manipulating variables and observing their effects on an outcome of interest.

However, they differ in terms of the level of control the researcher has over the assignment of participants to groups. Experimental designs are characterized by the random assignment of participants to different groups or conditions. This randomization helps ensure that any observed differences between groups can be attributed to the manipulation of the independent variable. The researcher has control over the assignment process, allowing for stronger causal inferences. Quasi-experimental designs, on the other hand, lack the random assignment of participants to groups. This may be due to practical or ethical reasons. Instead, participants are assigned to groups based on pre-existing characteristics, such as age or location. While quasi-experimental designs still allow for the examination of cause-and-effect relationships, they are considered less rigorous than experimental designs due to the potential for confounding variables. In summary, experimental and quasi-experimental designs both aim to investigate cause-and-effect relationships. They differ primarily in the level of control the researcher has over participant assignment. Experimental designs use random assignment for greater control, while quasi-experimental designs rely on pre-existing characteristics.

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Answer:

2955

Step-by-step explanation:

The ratio of yes votes to no votes is 3:2.

The total ratio is:

3 + 2 = 5

Let the total number of votes be x.

The number of yes votes was 1773. This means that:

3/5 * x = 1773

3x = 1773 * 5

x = (1773 * 5) / 3

x = 2955 votes.

There were 2955 votes in total.

Answer:

4,767 seconds

Step-by-step explanation:

The speed of light is actually 3x10^8 m/s, not "3 × 10 ms-¹."

Convert 1.43 × 10⁹ km = 1.43 × 10^12 m

(1.43 × 10⁹ km = 1.43 × 10^12 m)/(3x10^8 m/s) = 4,767 seconds

Answer:

b

Step-by-step explanation:

You can use the fact that at the zeros of a function, the function evaluates to 0.

For the given scenario, the following statements are correct:

Option A: The scenario can be represented by the function h(x) = -0.25(x)(x-5)

Option B: The vertex is on the line x = 2.5

If function can be written in all factored form with form as (x+a), then we can one by one equate them to zero to get the zeros of given function. If not, then we will have to find them by other methods.

Since the given scenario has zeros at 0 and 5, thus two factors of the function h(x) would be (x-0)(x-5) = (x)(x-5). Since at x = 4, the function outputs 1, thus we have: h(x) = a(x)(x-5)( here a is other factor with two already known factors of function h(x) which might represent the scenario (assuming that scenario given can be represented or modeled using quadratic equation) such that:

a(4)(4-5) = 1,

or

\(a(4)(4-5) = 5\\ a(4)(-1) = 5\\ a = -\dfrac{5}{4} = -0.25\\ \)

Thus, the function for given scenario is represented by

\(h(x) = a(x)(x-5) = -0.25(x)(x-5)\)

Finding the first and second rate of function to get the maxima or minima:

\(h(x) = -0.25(x)(x-5) = -0.25x^2 + 1.25x\\ h'(x) = -0.5x + 1.25\\ h''(x) = -0.5\)

Putting h'(x) = 0 gives:

\(-0.5x + 1.25 = 0\\\\ x = \dfrac{1.25}{0.5} = 0.25\)

For all x, the second rate is negative, showing that at x = 2.5, there is maxima. Thus the vertex is on the line x =2.5 and the greatest height water achieves is at x = 2.5

Thus,

Option A: The scenario can be represented by the function h(x) = -0.25(x)(x-5)

Option B: The vertex is on the line x = 2.5; are correct options.

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Answer:

A&C

Step-by-step explanation:

Answer:

The width of the interval would increase.

Step-by-step explanation:

The power of a that makes it equal to b is x = 5/6

The square root of a number is a number when multiplied by itself gives another number.

The cube root of a number is a number when multiplied by itself three times gives another number.

The power of a number is the exponent of that number

Since two numbers, a and b, are each greater than zero, and 4 times the square root of a is equal to 9 times the cube root of b. It follws that

4√a = 9∛b

⇒∛b = 4√a/9

⇒ b = ∛[4√a/9]

Since we require the  of x is a, to the x power equal to b if a = 2/3.

This implies that

aˣ = b

Substituting b into the equation, we have

aˣ =  ∛[4√a/9]

Since a = 2/3, we have

(2/3)ˣ =  ∛[4√(2/3)/9]

(2/3)ˣ =  ∛[4/9 × √(2/3)]

(2/3)ˣ =  ∛[2²/3² × √(2/3)]

(2/3)ˣ =  ∛[(2/3)² × √(2/3)]

(2/3)ˣ =  ∛[2/3)

\((\frac{2}{3} )^{x} = \sqrt[3]{(\frac{2}{3} )^{2 + \frac{1}{2}} } \\(\frac{2}{3} )^{x} = \sqrt[3]{(\frac{2}{3} )^{\frac{5}{2}} } \\(\frac{2}{3} )^{x} = (\frac{2}{3} )^{\frac{5}{2} \times \frac{1}{3} } \\(\frac{2}{3} )^{x} = (\frac{2}{3} )^{\frac{5}{6}\)

Equating both powers, we see that x = 5/6

So, the power of a is x = 5/6

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Answer:

Current assets/ Current liabilities

Step-by-step explanation:

K, x<18 is the inequality.

Step-by-step explanation:

Calculate the term

Answer:

\( {k}^{2} + 2k + \frac{15}{2} = 0 \\ {k}^{2} + 2k + 1 = - \frac {15}{2} + 1 \\ {k + 1}^{2} = - \frac{13}{2} \\ k + 1 = - \sqrt{ \frac{13}{2} } \\ k = 1 + or - - \sqrt{ \frac{13}{2} } \)

Answer:

Step-by-step explanation:

Opening the parenthesis and simplifying by combining like terms:

Answer:

-28y^4 - 7y^3 + 62y^2 + 5y - 30

Step-by-step explanation:

As the degrees of freedom increase, the t distribution b. approaches the normal distribution, which is a key assumption in many statistical tests. Understanding this relationship is important for making accurate statistical inferences and drawing valid conclusions from data.

The t distribution is a probability distribution that is commonly used in hypothesis testing. It is similar to the normal distribution but with heavier tails. As the degrees of freedom increase, the t distribution approaches the normal distribution. This means that the shape of the t distribution becomes more and more like the normal distribution as the sample size increases.
The reason for this is that the t distribution is based on the sample mean, which becomes more normally distributed as the sample size increases due to the central limit theorem. As the sample size increases, the standard error of the mean decreases, and the t distribution becomes less spread out and more peaked. This is why we use the t distribution instead of the normal distribution when we have a small sample size.

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A grain of rice contains about 0.029 milliliters of volume.

A grain of rice is a tiny, ingestible seed that comes from either Oryza sativa (Asian rice) or Oryza glaberrima, two types of grass (African rice). A single grain of rice is round or oval in shape and measures about 3–4 millimeters in length. A grain of rice has a volume of 0.029 milliliters and a mass of approximately 0.05 grams. The type of rice and the method of processing affect the size and form of a single grain of rice. Over half of the world's population relies heavily on rice as a source of nutrition and as a staple food in many different cultures. Sushi, risotto, rice pudding, and many more recipes all use rice as an ingredient.

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Answer:

B

Step-by-step explanation: Since Matthew has 350 free minutes, then that is highest amount of free minutes he has so it can be written as x ≤ 350

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

answers are below

Step-by-step explanation:

5*1.6=8

10*1.6=16

w*1.6=1.6w

15*1.6=24

hope this helps:)

The probability of getting at least one even number and at least one odd number is (3/4).

What is the probability of getting an even number in a single-dice throw?

If we throw a die, we have six possible outcomes: {1,2,3,4,5,6}. Now:

P(E) = Favourable outcomes / Total outcomes

     = 3/6

     = 1/2

As per the question, we need at least one even number and one odd number in three throws. We know that for independent events:

P(A∩B∩C) = P(A)*P(B)*P(C)

Let A be the event of getting an even number and B be the event of getting an odd number on the dice.

P(A) = P(B) =  1/2

So, we need to have events occur like:

ABA or ABB (with all their possible combinations)

So, P(A∩B∩A) = (1/2)*(1/2)*(1/2) = 1/8

P(A∩B∩B) = (1/2)*(1/2)*(1/2) = 1/8

Possible number of combinations of ABA = 3

Possible number of combinations of ABB = 3

So, required probability = 3*(1/8) + 3*(1/8)

= 6/8

= 3/4                          

So, the Required probability is (3/4)

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In the expression 8ab + 3b + 16 - 4a ,

(a) the number of terms are four .

(b) the factors of 8ab are  1 , 8 , a , b , 8a , 8b , ab , 2ab .

(c) the third term "16"is a constant .

In the question ,

the expression is given as 8ab + 3b + 16 - 4a .

Part(a)

the number of terms that are there in the expression is 4 ,

the terms are 8ab , 3b , 16 , 4a .

Part(b)

the first term is 8ab ,

the factors of 8ab is 1 , 8 , a , b , 8a , 8b , ab , 2ab .

Part(c)

the constant term is 16 , because there is no variable .

Therefore , In the expression 8ab + 3b + 16 - 4a ,

(a) the number of terms are four .

(b) the factors of 8ab are  1 , 8 , a , b , 8a , 8b , ab , 2ab .

(c) the third term "16"is a constant .

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According to the given information the line integral is 8(1+125\(\sqrt{110}\)) / 15 .

What distinguishes a line integral from a definite integral?

Line integrals include several integrals across a curve, but definite integrals only entail a single integral over a specified interval. This is the primary distinction between the two types of integrals.

\(\int\limits_c {xy} \, ds\),  C : x = t^2 , y = 2t,  0 ≤ t ≤ 3

x' = 2t , y' = 2

ds = \(\sqrt{(x')^2 + (y')^2}\)

\(\sqrt{4(t)^2 + 4}\)

\(\int\limits C {xy} \, ds\) = \(\int\limits^3_0 {2.2t.2\sqrt{1+t^2}} \, dt\)

t = tanθ

dt = (1+\(tan^{2}\)θ)dθ = (\(sec^{2}\)θ)dθ

= \(\int\limits^3_0 {4t^3\sqrt{1+t^2} } \, dt\)

= 8(1+125\(\sqrt{110}\)) / 15

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Answer:

320 mph

Step-by-step explanation:

200/5=40

40x8=320

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. The van travelled 320 miles in 8 hours.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

if a van traveled 200 miles in 5 hours

We need to find how long it travels in 8 hours.

Let x be the distance to travel in eight hours.

Let us make a equation

200/5=x/8

Apply cross multiplication

1600=5x

Divide both sides by 5

1600/5=x

320=x

Hence the van travelled 320 miles in 8 hours.

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Answer:

-x2+4=-x=4-2=2

-x=2

x= -2