A factory manufacturers a metal piece in 32 minutes. New technology allowed the factory to cut the time by 8%. The anther improvement cut the time by 5%.How long does it take to manufacture the piece now ? Round your answer to the nearest minute

The time necessary for p dollars to double when it is invested at interest rate r compounded annually is given by the formula:

t = (ln 2) / (r ln (1 + r))

When compounded monthly, the formula becomes:

t = (ln 2) / (12 r ln (1 + r/12))

When compounded daily, the formula becomes:

t = (ln 2) / (365 r ln (1 + r/365))

When compounded continuously, the formula becomes:

t = ln 2 / (r)

Note that ln is the natural logarithm function.

To use these formulas, you need to know the value of the interest rate r. For example, if r is 5%, then:

When compounded annually, t = (ln 2) / (0.05 ln 1.05) = 13.86 years
When compounded monthly, t = (ln 2) / (12 x 0.05 ln 1.0041) = 14.21 years
When compounded daily, t = (ln 2) / (365 x 0.05 ln 1.000137) = 14.27 years
When compounded continuously, t = ln 2 / (0.05) = 13.86 years

Therefore, the time necessary for p dollars to double depends on the interest rate and the frequency of compounding. Generally, the more frequently the interest is compounded, the shorter the time necessary for p dollars to double.

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Answer:

14

Step-by-step explanation:

Expression: Negative × Negative + Positive

Product: Positive

Answer: (-3 × -2) + 8 .

                     6  +  8  = 14

                                  14

Answer:

2^4 = 16miles

2^8 = 256hrs

Step-by-step explanation:

16*256=4096

2^12=4096

so you answer is 2^12

Answer:

point s at (0,5)   point t at (5,3)  point u at (4,1)

Step-by-step explanation:

happy life

Answer:

936

Step-by-step explanation:

13% of 900 is 117

117x8= 936

Answer: x=-2

Step-by-step explanation:

-3(x+5)= 3(x-1)

-3x-15=3x-3

-3x-15=3x-3

-15=6x-3

6x=-12

x=-2

Answer:

Step-by-step explanation:

We will use the general area formula for finding the area of triangle when you are given information for SAS, which we have been.

\(A=\frac{1}{2}absinC\) , where a and b are the given side lengths and C is the included angle. You can ONLY use this when you have the info for SAS in a triangle. For us,

a = 17, b = 15 and C = 35 degrees.  Filling in:

\(A=\frac{1}{2}(17)(15)sin35\)

Do that on your calculator in degree mode and you'll find the area to be

73.1 meters squared

Answer:

=48x2^+3097x+12

Step-by-step explanation:

3(4x+9)(4)x+2712x+277x+12

Distribute:

=48x2+108x+2712x+277x+12

Combine Like Terms:

=48x2+108x+2712x+277x+12

=(48x2)+(108x+2712x+277x)+(12)

=48x2+3097x+12

Answer:

Hello~

12x+3×9

12x + 27

Ary~

The triangles given are ; equilateral or isosceles and scalene.

The first triangle has all the sides equal. This means that it is an equilateral triangle.

The two bottom angles of second triangle are shown to be equal. This implies that the two sides adjacent to the angles shown are also equal in length. Hence, the triangle is an isosceles triangle.

The third triangle is shown to have three sides of three different lengths. which means that it is a scalene triangle since a scalene triangle is one with sides of three different lengths

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Based on these observations, we can conclude that the series satisfies the conditions of the alternating series test. Therefore, the series converges.

To test the series for convergence or divergence using the alternating series test, we need to check two conditions:

The terms alternate in sign.

The absolute value of the terms approaches zero as n approaches infinity.

Let's examine the given series:

1/ln(4) - 1/ln(5) + 1/ln(6) - 1/ln(7) + 1/ln(8) - ...

The terms in the series alternate in sign as required by the alternating series test.

We can observe that the denominator, ln(n), increases as n increases. Since the denominator is in the form of a logarithm, it grows slowly compared to the numerator, which is a constant 1. As a result, the absolute value of the terms approaches zero as n approaches infinity.

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The values of linear transformation are T(1) = 1, T(x) = x, T(x^2) = x^2, T(ax^2 + bx + c) = ax^2 + bx + c.

To find the values of T(1), T(x), T(x^2), and T(ax^2 + bx + c), let's first express each of these polynomials in the standard basis of P3, which is {1, x, x^2}.

1 can be expressed as 1(1) + 0(x) + 0(x^2).

So, T(1) = T(1(1) + 0(x) + 0(x^2)) = 1T(1) + 0T(x) + 0T(x^2) = 1.

x can be expressed as 0(1) + 1(x) + 0(x^2).

So, T(x) = T(0(1) + 1(x) + 0(x^2)) = 0T(1) + 1T(x) + 0T(x^2) = T(x).

x^2 can be expressed as 0(1) + 0(x) + 1(x^2).

So, T(x^2) = T(0(1) + 0(x) + 1(x^2)) = 0T(1) + 0T(x) + 1T(x^2) = T(x^2).

Now, let's consider the polynomial ax^2 + bx + c.

We can express it as a(x^2) + b(x) + c(1).

So, T(ax^2 + bx + c) = T(a(x^2) + b(x) + c(1)) = aT(x^2) + bT(x) + cT(1) = aT(x^2) + bT(x) + c.

Therefore, we have:

T(1) = 1,

T(x) = x,

T(x^2) = x^2,

T(ax^2 + bx + c) = aT(x^2) + bT(x) + c = ax^2 + bx + c.

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Answer:

the 3rd one

Step-by-step explanation:

The first 8 prime numbers that occur are as given below in the lis

The prime numbers can be referred to or concentrated as such numbers, which are whole number s but are divisible only by 1 and the number itself. The list given above contains the numbers which are not only prime but are also divisible only by one and the number themselves. The list given above contains such numbers which are divisible as per the conditions of prime numbers.  Therefore, the significance regarding prime numbers has been aforementioned in the given list.

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Carlos' speed, we cannot determine if the distance he cycled was greater than 6 miles based solely on the information that it took him half an hour.

The information provided states that Carlos took half an hour to cycle from his house to the library. However, the given information does not specify the speed at which Carlos was cycling.

Distance is determined by both speed and time. Without knowing Carlos' speed, we cannot accurately determine the distance he cycled.

For example, if Carlos cycled at a constant speed of 12 miles per hour, then the distance he traveled in half an hour would be 6 miles (12 miles/hour * 0.5 hours = 6 miles). In this case, the distance would be greater than 6 miles.

On the other hand, if Carlos cycled at a constant speed of 5 miles per hour, then the distance he traveled in half an hour would be 2.5 miles (5 miles/hour * 0.5 hours = 2.5 miles). In this case, the distance would be less than 6 miles.

Therefore, without knowing Carlos' speed or having additional information, we cannot determine whether the distance he cycled was greater than 6 miles based solely on the given information that it took him half an hour.

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Answer: the answer is 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The hypothesis needs to explain the certain conditions that need to exist in order for a specific conclusion to take place. Meaning that if these conditions are not present in the scenario, then the conclusion would be different or simply not exist. Based on this info we can say that the hypothesis is "2 lines are perpendicular" while the conclusion is "The lines form 4 right angles"

The probability of winning $80 within 1000 sequential bets utilizing the Martingale strategy is close to 0%.

The probability of winning $80 using the Martingale strategy is close to 0% because the probability of winning at each bet is 0.47. This means that the expected value of our winnings after 1000 sequential bets is close to 0.

If we lose more than 4 times in a row (which is very likely if we have 1000 sequential bets), we have to double our bet each time and therefore we would need more money than what we initially have in order to keep betting. This means that the expected value of our winnings converges to 0 as the number of sequential bets increases.

Furthermore, the standard deviation of our winnings also converges to 0 as the number of sequential bets increases because the expected value of our winnings is 0. This means that the probability of winning any amount of money is close to 0.

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The complete question is attached below.

The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

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The answer is 1.72.

Division is splitting into equal parts or groups.

Given that 18.92 divided by 11

Let’s have a simple division.

18.92 : 11 = 1.72

Hence, 18.92 divided by 11 equal to 1.72

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We can set up a proportion to find the number of grams of bichloride in 250 mL:

(1 gram) / (0.5 liter) = (x grams) / (0.25 liter)

Cross-multiplying:

0.5x = 0.25

Dividing both sides by 0.5:

x = 0.25 / 0.5 = 0.5

Therefore, 250 mL will contain 0.5 grams of bichloride.

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The stream velocity has no influence on the amount of dissolved load it contains. The amount of dissolved material depends on erosion and deposition carried out in the watercourse. These are affected by factors such as the slope of the land, the resistance of the material to erosion, the size of the sediments transported, etc.

Stream velocity plays an important role in the transport of sediments and dissolved loads in a watercourse. It affects the erosion and deposition processes that occur in the watercourse, which in turn affect the amount of sediment and dissolved load that is carried by the stream. For example, faster stream velocities can cause more erosion of the stream bed, leading to more material being carried in the water.

Sediment is any particulate matter that is transported by a fluid, and it can come in many different forms. The three main types of sediment are:

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Answer:

Girls ---> 40% Boys ----> 60%

Step-by-step explanation:

It is given 10 are girls, which logically implies, 15 are boys.

Now given that the total number of children in the class is 25,

Percentage of girls = 10/25 x 100 = 40%

You could do the same for boys by doing 15/25 x 100, or use some logic and realise that two sets should have a percentage of 100, therefore the percentage of boys in the class is 60%

Answer:

x = 21.4

Step-by-step explanation:

We need to use the law of sins

sin 42       sin x

--------- = ----------

22              12

12 sin 42 = 22 sin x

12 sin 42 /22 = sin x

Taking the inverse sin of each side

sin^-1(12/22 sin 42) = sin^-1(sin x)

21.40637223 =x

To the nearest tenth

x = 21.4

Answer:

4m+5=12

Step-by-step explanation:

4(3)+5#12

right hand side is not equal to left hand side

Answer: 4m+5=12

Step-by-step explanation:

Answer:

9:29 PM

Step-by-step explanation:

Let us add the number of minutes the first act, interval and second act lasted:

46 + 20 + 53 = 119 minutes

Converting this to hours and minutes:

60 minutes = 1 hour

119 minutes = 1 hour 59 minutes

Therefore, the time that the second act ends is:

  H       M

  7   :   30 PM

+ 1    :  59  

  9   :   29

The second act will end by 9:29 PM

a) Since E is closed, its complement F\ E is contained in F, so the intersection of {U_i1, U_i2, ..., U_in} with E is still a finite subcover of E. Thus, E is compact.

b) The union of all these finite subcovers is a finite subcover of {U_i} that covers K, showing that K is compact.

(a) To show that E is compact, we need to show that any open cover of E has a finite subcover. Let {U_i} be an open cover of E. Since E is closed in F, its complement F\E is open in F. Thus, {U_i} and F\ E together form an open cover of F. Since F is compact, there exists a finite subcover {U_i1, U_i2, ..., U_in, F\ E}. Since E is closed, its complement F\ E is contained in F, so the intersection of {U_i1, U_i2, ..., U_in} with E is still a finite subcover of E. Thus, E is compact.

(b) Let K1, K2, ..., Kn be a finite collection of compact subsets of S. Let {U_i} be an open cover of their union K= K1∪ K2 ∪ ... ∪ Kn. Then each Ki is contained in K, so {U_i} is also an open cover of each Ki. Since each Ki is compact, there exists a finite subcover {U_i1, U_i2, ..., U_ik_i} of {U_i} for each Ki. Thus, we have a finite collection of sets {U_i1, U_i2, ..., U_ik_1}, {U_i1, U_i2, ..., U_ik_2}, ..., {U_i1, U_i2, ..., U_ik_n} that covers K1, K2, ..., Kn respectively. The union of all these finite subcovers is a finite subcover of {U_i} that covers K, showing that K is compact.

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Answer:

The area of the shape is 84cm squared.

Step-by-step explanation:

-The area for a rectangle is A=l*w.

-The area for a triangle is 1/2*b*w.

-The area for the rectangle is 12cm*6cm=72cm.

-The area for the triangle is 1/2*8cm*3cm=12cm.

-Now you add 72cm+12cm=84cm.

Do not forget:

You must add the small 2 or put squared because it is a 2D figure.

Answer:

Select all the expressions which have 3 as the greatest common factor of the terms.

b + 3 + 6c

27n + 66p

38 – 9j + 6k

12x + 75y + 21

–32 – 24z