for time t≥0, the acceleration of an object moving in a straight line is given by a(t)=ln(3 t^4). what is the net change in velocity from time t=1 to time t=5 ?

The point (3, 2) is feasible for the constraint 2x1 + 6x2 ≤ 30. (False)

To determine if a point is feasible for a constraint, we need to substitute the values of the point into the constraint equation and check if the resulting inequality holds true.

In this case, the constraint is 2x1 + 6x2 ≤ 30. Substituting x1 = 3 and x2 = 2 into the equation, we get 2(3) + 6(2) = 6 + 12 = 18. Since 18 is not less than or equal to 30, the inequality is not satisfied.

Therefore, the point (3, 2) is not feasible for the given constraint. Feasible points satisfy the constraint, while infeasible points do not. In this case, any point that lies below the line represented by the constraint equation would be feasible, while points above the line would be infeasible.

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The product standard deviation  control limits for the M observations are approximately 20.76 (LCL) and 44.51 (UCL).The none of the samples are out of control based on the given data.

To find the control limits for M observations and identify any samples that are out of control, to calculate the mean (x) and standard deviation (S) of the given data. The control limits are typically set at ±3 standard deviations from the mean.

Given the data: 36.3, 28.6, 32

Calculate the mean (x):

x = (36.3 + 28.6 + 32) / 3 = 97.9 / 3 = 32.6333

Calculate the standard deviation (S):

S = √((∑(Xi - x)²) / (n - 1))

= √(( (36.3 - 32.6333)² + (28.6 - 32.6333)² + (32 - 32.6333)² ) / (3 - 1))

= √((14.684 + 16.304 + 0.4056) / 2)

= √(31.3936 / 2)

= √(15.6968)

≈ 3.959

Calculate the control limits:

Upper Control Limit (UCL) = x + 3S

= 32.6333 + (3 ×3.959)

≈ 32.6333 + 11.877

≈ 44.51

Lower Control Limit (LCL) = x - 3S

= 32.6333 - (3 × 3.959)

≈ 32.6333 - 11.877

≈ 20.76

Identify samples that are out of control:

To determine if a sample is out of control, we compare the hardness measurements to the control limits.

The given data points are: 36.3, 28.6, 32.

Checking each data point:

36.3 is within the control limits (20.76 to 44.51).

28.6 is within the control limits (20.76 to 44.51).

32 is within the control limits (20.76 to 44.51).

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Answer:

5

Step-by-step explanation:

You are looking for x so what you are really looking for is what times 4 =20 and that is 5.

5x4=20

Answer:

Divide each term in 4x = 20 by 4 and simplify.

X=5

The answer to this Question is based on Area of Triangle is 2.176m^2

How to find area of triangle?

We can find the area of triangle by many different methods depending on what we are given

Solution:

Here we are given 2 sides and one angle of a triangle:

so here we will use the formula that involves trignometry

Here area will be 1/2(a)(c)(sinA) and we know 1ft = 30 cm

= 0.5(5* 30)(12*30)(0.788)

where 0.788 is the value of sin(52)

on calculating the above we get 21276 cm^2 area which in turn is 2.176m^2 area

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Answer:

1.

Tan 45=√2/n

n=√2

again

sin 45=√2/m

m=2

answer: m=2,n=√2

2.

sin 45=x/3

x=3/√2=3√2/2

y=3√2/2

ans:x=3√2/2,y=3√2/3

3.

sin 45=a/4

a=4/√2

b=4/√2

ans:a=4/√2,b=4/√2

4.

b=4 base sides of isosceles triangle

sin 45=4/a

a=4√2

ans:a=4√2 and b=4

Macmon fue un obispo cristiano del siglo IV que desempeñó un papel importante en la cristianización del Imperio Romano.

Nacido en una familia pagana, Macmon se convirtió al cristianismo después de una visión que tuvo durante una enfermedad. Fue ordenado obispo de la ciudad de Cesarea en Capadocia y se convirtió en un defensor de la ortodoxia cristiana frente a las herejías que surgían en esa época.

Macmon también desempeñó un papel importante en el Concilio de Nicea en el año 325 d.C., donde luchó contra la herejía de Arrio y contribuyó a la redacción del Credo Niceno.

En resumen, la biografía de Macmon es importante porque representa un ejemplo de conversión y defensa de la ortodoxia cristiana en una época crucial para la cristianización del Imperio Romano. Su papel en el Concilio de Nicea también fue fundamental para la redacción del Credo Niceno, uno de los textos fundamentales del cristianismo.

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Answer:

n: y= X - 1

m: y= -2x + 4

l: y= 4

Answer:

24

Step-by-step explanation:

Plug in numbers for letters...

4(12) - (8)(3)

48 - 24

24

The bottleneck time is 18.18%. Therefore, option A is the correct answer.

In economics terms, the bottleneck is a chain of supply of resources that wants the most extended time in the supply chain operation for specific demand. It also evaluated to estimate the supply chain throughput.

Through put time = Sum of all times=1+2+3+4+5+6+7+8+9+10=55

Given,

Assembly line has 10 stations

Throughput time is 55

The formula for bottleneck time is:

Bottle neck time = Total stations/Throughput time ×100

= 10/55 ×100

= 18.18%

The bottleneck time is 18.18%. Therefore, option A is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

An assembly line has 10 stations with times of 1, 2, 3, 4,...,10, respectively. What is the bottleneck time?

a. 18.18% of the throughput time

b. 100% of the throughput time

c. 550% of the throughput time

d. 50% of the throughput time

e. 1.82% of the throughput time

Answer:

LM=7

Step-by-step explanation:

Let me know if its right;)

wait oops i answered by accident now i cant delete it

Divide the amount of tax by the rate of tax.

3.20 / 0.02 = 160

The cost of the camera is $160

If the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.

Sales tax is the tax that is paid by buyer to seller on the amount of goods sold.

We have been given that sales tax in a certain city is 2% and sales tax paid by man for camera is $3.20 and we have to find the cost of the product excluding sales tax.

Sales tax=tax percentage*total price

3.20=2/100*total price

Total price=3.20*100/2

=$160

Price excluding sales tax=total price - sales tax

=160-3.20

=157.80

Hence if the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.

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Answer:

29 km < n < 43 km

Step-by-step explanation:

7,36,x

7+n>36 n>29

7+36>x 43>n

36+x>7 n>-29 don't use

29<n<43 29 km < n < 43 km

From the question, we can find the expression for the money Isabella needs to pay, as follows:

Where k is the amount of miles. We know that she paid $14.00, so we can find the amount of miles:

So the taxi drove 39 miles.

Answer:

(z-9-3b)/9

Step-by-step explanation:

(z-9-3b)/9

Answer: 9.2 years

Step-by-step explanation:

Given the following :

Mean(m) = 11.7 years

Standard deviation (s) = 1.2 years

Recall the z-score formula :

Z = (x - m) / s

We can find the z-score by locating the value of 2% in the negative z-table, then solve for x.

2% = 0.02

0.02 falls most closely to 0.02018whuch is under - 2.05.

Using the z-score value in the formula above :

-2.05 = (x - 11.7) / 1.2

Cross multiply

(-2.05 × 1.2) = x - 11.7

-2.46 = x - 11.7

x = - 2.46 + 11.7

x = 9.24 years

The place where the company should place the tower should be the circumcenter of the area.

The circumcenter denotes the precise point where the perpendicular bisectors of each triangle's sides intersect.

To ascertain the circumcenter, a systematic procedure is followed. First, the company must draw straight lines connecting the respective centers of the towns, effectively forming the triangular shape. Subsequently, the midpoints of each triangle's sides are determined by measuring and dividing the length of each line segment by two.

These midpoints serve as vital reference points in the subsequent steps. By extending lines perpendicular to the sides at their respective midpoints, the perpendicular bisectors are established. These bisectors intersect at a singular point, which signifies the circumcenter and serves as the optimal placement for the cell tower.

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The rate of change of the amount earned with respect to hours worked for this function is D. 13 dollars per hour.

The rate of change for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :

Point a = (5, 65) = (x₂, y₂)

Point b = (2, 26) = (x₁, y₁)

Calculating the gradient or slope :

Rate of change = (y₂ - y₁) / (x₂ - x₁)

Rate of change = (65 - 26) / (5 - 2)

Rate of change = 39 / 3

Rate= 13 dollars per hour

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Complete question

The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour

The number of distinct outfits (consisting of a shirt a pair of jeans and a scarf) Katie can wear is D. 72.

To find the number of distinct outfits Katie can wear, you simply multiply the number of choices for each clothing item together. Katie has 9 shirts, 4 jeans, and 2 scarfs. So the number of distinct outfits she can create is:

9 shirts × 4 jeans × 2 scarfs = 72 distinct outfits

The answer is option D, 72. This is calculated using the counting principle, which states that if there are multiple independent choices, you can find the total number of possibilities by multiplying the number of choices for each item.

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The conditional probability is 3/8

From the question, we have

total number in bit string =16

let s be the set of all bit strings

number of strings =8

probability of selecting A

P(A)=8/16=1/2

P(A∩B)=3/16

the conditional probability is,

P(A∩B)/P(A)=3/16/1/2

=3/8

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

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The simple interest equation for this problem is given as follows:

A = 500 + 10t.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

The parameter values for this problem are given as follows:

P = 500, r = 0.02.

Hence the equation is given as follows:

A = 500(1 + 0.02t)

A = 500 + 10t.

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Answer:

its 540 bro

Step-by-step explanation:

Answer:

.72x=414

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

When Mai receives money, her account balance increases. The amount received can be represented by a positive number.

When Mai spends money, her account balance decreases. The amount spent can be represented by a negative number.

To solve the equation, divide both sides by 5. The solution is c = 4.

A linear equation is an equation of which the highest degree of its variables is 1.

Steps to solve linear equations:

The given problem:

Solve 5c = 20

Notice that the variable, c, is already isolated on the left side.

Divide both sides by 5:

5c : 5 = 20 : 5

c = 4 (solved)

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The probability to obtain the sum of two rolled dice as a multiple of 6 or a multiple of 4 is 13/36.

When comparing the likelihood of an outcome to all other possible outcomes, we use a sort of ratio known as probability.

Given that a dice is rolled twice. Sum of the two rolls has following possibilities,

2,3,4,5,6,7,8,9,10,11,12

A multiple of 6 is obtained when the sum is either 6 or 12.

Sum of 6 is obtained when the two rolls are (1,5) , (2,4) , (3,3), (4,2) , (5,1)

Probability for each is 1/36. Therefore total probability to obtain sum of 6 is 5/36.

Sum of 12 is obtained only when the two rolls (6,6).

Probability to obtain sum of 12 is therefore 1/36.

Similarly for a sum of 4, the probability is 3/36.

For a sum of 8, the probability is 4/36.

Therefore the required probability is the sum of above calculated probabilities,

Required probability = 5/36 + 1/36 + 3/36 + 4/36 = 13/36

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Answer:

Step-by-step explanation:

 Allegro is Italian for ‘lively’ or ‘cheerful’ and it’s a term used on musical scores to indicate that the piece should be played at a relatively fast pace and in a bright and merry manner. It’s a similar term to vivace, which also means ‘lively’.

Different tempos are measured in beats per minute (BPM), and allegro is typically marked on a metronome as having between 120-168 BPM. This is slightly faster than allegretto (moderately fast), which itself is a little faster than moderato (moderate or medium).

Answer:fast, quickly and bright

Step-by-step explanation: Allegro – fast, quickly and bright (109–132 BPM) Vivace – lively and fast (132–140 BPM) Presto – extremely fast (168–177 BPM) Prestissimo – even faster than Presto (178 BPM and over)

The amount loaned at 5% interest is $7,500. Let's say the bank loaned out x dollars. The amount loaned at 5% interest is 0.05x dollars, and the amount loaned at 10% interest is 0.10x dollars.

We know that the total interest received in one year was y dollars. We can set up the following equation to represent this information:

0.05x + 0.10(x - 0.05x) = y

Simplifying the right side of this equation, we get:

0.05x + 0.10x - 0.05x = y

0.05x = y

Dividing both sides of this equation by 0.05, we get:

x = y / 0.05

x = 20y

We are given that the total interest received was $y = $1,500. Plugging this value into the equation, we get:

x = 20(1,500)

x = $30,000

Therefore, the amount loaned at 5% interest is $30,000 / 2 = $15,000. However, we are asked for the amount loaned at 5% interest, not 10% interest. So, we need to divide this amount by 2:

$15,000 / 2 = $7,500

Therefore, the amount loaned at 5% interest is $7,500.

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QUESTION:

A bank loaned out $18,000, part of it at the rate of 8% per year and the rest at 16% per year. If the interest received in one year totaled $2000, how much was loaned at 8%?

The set of all strings accepted by M is an infinite decidable subset of L.

Every infinite Turing-recognizable language has an infinite decidable subset.

Let's prove this theorem.

We must know the properties of the Turing recognizable language before the proof. A language is considered Turing recognizable if a Turing machine M accepts all strings in the language, and either rejects or loops forever on all strings not in the language. We can define that any language is infinite if it contains infinite strings.

Similarly, the set of all strings in the language is infinite if the language is infinite.

Let us suppose that L is an infinite Turing-recognizable language over the alphabet Σ. It implies that there exists a Turing machine M that accepts all the strings in L. We need to consider the following facts to prove that every infinite Turing-recognizable language has an infinite decidable subset:

If a Turing machine accepts an infinite number of strings in a language L, then it accepts at least one infinite subset of the language.

Suppose that a Turing machine accepts a language L, then the set of all strings accepted by the Turing machine is decidable.

Now, let's construct a new Turing machine M′ that works in the following manner:

In the first step, M' simulates M on the input w.

In this step, M' generates the strings of Σ* in some order.

In this step, for each string generated in step 2, M' runs M on that string. If M accepts that string, then M' outputs the string.

Suppose that there are only finite strings of L that are accepted by M. It implies that M has an infinite loop on all other strings not in L.

since M′ generates the strings of Σ* in some order, M′ will eventually simulate M on the string w for which M has an infinite loop.

Therefore, M′ will be in an infinite loop and will never halt.

So, the set of all strings accepted by M is infinite. We can say that the set of all strings accepted by M is an infinite decidable subset of L.

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