A new worker can complete the first cycle of an operation in 15 minutes. Using the projected learning curve y equals 15 x to the power of negative 0.074 end exponent, how many cycles will it take the worker to be able to complete the operation in 9 minutes, which is the standard time?
a. 996 cycles b. 13 cycles c. 15 cycles d. 67 cycles

The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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Answer:

G is correct

H is correct

M is correct

K is 131

Step-by-step explanation:

Angles in a straight line add up to 180 degrees

Answer:

g: 43

h: 137

m: 49

K: 131

Step-by-step explanation:

i got it right

Answer:

2(t-3) ^2 = 72

(t - 3)^2 = 36

t - 3 = 6 or t - 3 =-6

t = 6+3 = 9. or t =-6 +3 = -3

t = 9 or -3

We have that

The Value of t is

t=9

From the question we are told

2 (t -3) ² - 72=0

In Answering the Question we must follow these few steps

Generally the derivation of t is mathematically given as

\((t-3)^2=\frac{72}{2}\\\\t-3=\sqrt{\frac{72}{2}}\\\\t-3=6\\\\t=9\) [Firstly we must make t the subject of the Formula

Firstly we must make t the subject of the FormulaSecondly,We perform the necessary]

Therefore

The Value of t is

t=9 [Finally,The value of t will be gotten]

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Answer:

6(n+4)=54

Step-by-step explanation:

EASY PEASY!

6 times n is 6n

6 times 4 is 24

now we simplified it to 6n + 24=54

54-24= 30

30/6 = 5

sooo n=5

SOOOO 6(5+4)=54

HOPE THIS HEELPPED :3

answer:

true

explanation:

Answer:

$22

Step-by-step explanation:

Given data

Principa= $20

rate= 10%

time= 1 year

The simple interest expression is given as

A= P(1+rt)

substitute

A= 20(1+0.1*1)

A= 20*1.1

A= $22

Hence the amount after 1 year is  $22

Answer: Hello!

Add 3y  to both sides of the equation.  x=12+3y

Step-by-step explanation:

Mark me brainest please. Hope I helped! Hope you make an 100%

-Anna♥

Answer:

y = -27.6

Step-by-step explanation:

To solve for y, you need to isolate the variable on one side of the equation. \(5(y+25)=-13\) ⇒ \(y + 25 = -2.6\) ⇒ \(y = -27.6\).

Answer:

-27.6

Step-by-step explanation:

\(5(y + 25) = -13\)

First, distribute the problem.

\(5y + 125 = -13\)

Secondly, subtract 125 from -13 and 125.

\(125 - 125 = 0\)

\(-13 - 125 = -138\)

Now, we are left with 5y = -138.

Lastly, we divide -138 by 5.

\(-138 / 5 = -27.6\)

Therefore, y is -27.6.

Here's an attachment to make this explanation clearer.

Answer:

the answer is A and B

Step-by-step explanation:

I got it right hope it helps

Answer:

A and B are correct and verify

Step-by-step explanation:

Assume he continues at this pace, complete the table in the interactive, and graph the relationship. From the graph, which of the following are true? Check all that apply.

A The line passes through the origin.

B The relationship is proportional.    

C Alonso walks 0.5 miles per hour.

D There is no constant of proportionality.

Answer:

b = $5

s = $6

Step-by-step explanation:

this can be solved using simultaneous equation

s = streamers

b = balloons

either of the 3 equations can be used to determine the price of the items

11b + 6s = 91 equation 1

15b + 4s = 99 equation 2

multiply equation 1 by 4 and equation 2 by 6

44b + 24s = 364 eqn 3

90b + 24s = 594 eqn 4

subtract equation 3 from 4

230 = 46b

b = 5

substitute for b in eqn 1

55 + 6s = 91

s = 6

Answer:

Step-by-step explanation:

24-small

12-medium

5-large

then what you want to do is find how many are there together im gonna say small has 12 medium has 16 and large has 20

Next you want to subtracts 3 small boxes cause of defects 24-3=21

Then, you want to multiply what your numbers are.

21*12=252

12*12=144

5*20=100

Then add

252+144+100=496

The number of boxes teacher buys in all is 38.

Given that, the teacher buys 24 small boxes, 12 medium boxes, and 5 large boxes.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Total number of boxes = Number of small boxes +Number of medium boxes +Number of large boxes

= 24+12+5

= 41

She had to return 3 small boxes due to defects

Now, 41-3=38

Therefore, the number of boxes teacher buys in all is 38.

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Answer:

96

Step-by-step explanation:

first off you know that it is a square pyramid, so you can assume that all base lengths are 6.

i am going to find the base first. it is 36 because 6*6-36 save this in your mental memory

next, we have to find the 4 triangles

we know that they are 5 by 6 but you have to divide them by 2

so 30/2=15 and there are 4 of them

15*4=60

now add together 60 and 36 and you get 96

hope this helps!

Based on the function f(x) = 3 - x², the value of f(-2) include the following: f(-2) = -1.

In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.

When the domain (input value) of the given function f(x) is -2, the output value (range) is given by;

f(x) = 3 - x²

f(x) = 3 - (-2)²

f(x) = 3 - 4

f(x) = -1

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Answer:

42 6/7

Step-by-step explanation:

For me what i usually do is i convert the mixed number into a fraction, which for example:

Example and Explanation: Step 1

so since the number 7 is the denominator and the 2 is the mixed number, we can multiply these numbers, 2 x 7 = 14, then we add our numerator which in this case, is one, 14 + 1 = 15, and since the denominator stays the same, our fraction now is 15/7. We do the same for the others:

3 3/4:

3 x 4 = 12 + 3 = 15 = 15/4

5 1/3:

5 x 3 = 15 + 1 = 16 = 16/3

Now that they are all fractions we can finally do the multiplication

Multiplying Fractions: Step 2

Multiplying fractions does not require that the fractions have the same denominator. Instead, the numerators are multiplied with each other and the denominators are multiplied with each other. However, the resulting fraction may not be in lowest terms so it may need to be reduced. So since this is a three step multiplication problem, we will multiply two fractions first.

In this case I chose 15/7 x 15/4. so we just multiply from there, 15 x 15 = 225, and  7 x 4 = 28. So our fraction is 225/28, now we will multiply the other fraction: 225/28 x 16/3 which comes out to 3,600/84. Wow, thats a big number, now its time to..

Reduce: Step 3

This fraction is far too big to be a proper answer, so we will reduce, also known as simplifying.  

Find the Greatest Common Factor (GCF) of 3600 and 84, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 12,

=3600÷1284÷12=3007

Converting to a mixed number using long division with remainders for 300 ÷ 7.

300÷7=42r6

Therefore:

300/7 = 42 6/7

I am so sorry if i am wrong

Answer:

2/4

Step-by-step explanation:

If you follow the rule, rise over run, you can start from the first point. Then, rise till you reach the level the other point is. (which would be 2) Go over until you meet the second point. (4)

24

24x3.14

75.36

75.36/3.14

= 24 its b

Answer: 36pi(cm)^2 Answer B

Step-by-step explanation:

Answer:70

Step-by-step explanation:

Answer:

A 140

Step-by-step explanation:

Mark the center of the circle as O. It's given that

∠IOJ = 70°

∠JOK = 70°

from the drawing it looks like HOI, IOJ and JOK are supplementary angles, which means that they add up to 180°

∠HOI + ∠IOJ + ∠JOK = 180°

∠HOI = 180° - ∠IOJ - ∠JOK

∠HOI = 180° - 70° - 70°

∠HOI = 40°

∠HOI and ∠KOL are cross angles, therefore ∠HOI = ∠KOL = 40°

Since ∠HOL and ∠KOL are supplementary angles

∠HOL = 180° - ∠KOL

∠HOL = 180° - 40°

∠HOL = 140°

The correct answer is c.

Multicollinearity in multiple linear regression makes it difficult to assess the individual importance of predictors and increases the standard errors of the regression coefficients (b coefficients), making them unreliable.

Multicollinearity occurs when two or more predictors in a regression model are highly correlated with each other. This high correlation leads to redundancy in the information provided by the predictors, making it challenging to determine the unique contribution of each predictor to the dependent variable.

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Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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A 7% increase followed by a 22% increase is equivalent to a total percentage change of approximately 30.66%.

To solve this problem, we can use the following formula:

Total percentage change = [(1 + percentage change 1) * (1 + percentage change 2) - 1] * 100%

Where percentage change 1 represents the first percentage change (7% increase) and percentage change 2 represents the second percentage change (22% increase).

Plugging in the values, we get:

Total percentage change = [(1 + 0.07) * (1 + 0.22) - 1] * 100%

Total percentage change = (1.07 * 1.22 - 1) * 100%

Total percentage change = 0.3066 * 100%

Total percentage change = 30.66%

Therefore, a 7% increase followed by a 22% increase is equivalent to a total percentage change of approximately 30.66%.

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The unit of measurement used to describe how far a set of values are from the mean is the standard deviation. Therefore, the correct answer is (b) standard deviation.

The variance is another measure of spread, but it is not in the form of the original units of measurement. The median is a measure of central tendency and not a measure of spread. The mode is the most frequently occurring value in a set and is also not a measure of spread.
The unit of measurement used to describe how far a set of values are from the mean is the Standard Deviation (b). It is calculated by taking the square root of the variance and provides a measure of the average distance between each value in the set and the mean. The Median (c), on the other hand, is the middle value in a set when the values are arranged in numerical order.

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Answer:

C

Step-by-step explanation:

y = mx + b

meaning that m is the slope and b is the y - intercept

1.) You must find the slope of the line first

    - you can find the slope by using rise over run

    - this answer is m

2.) find where the red line crosses the y - axis

    - this answer is b

3.) just plug your findings into your y = mx + b equation and it will give you your answer.

Step-by-step explanation:

3x/2 - 2 > 7

3x/2 > 9

3x > 18

x > 6

for the line graphic below it seems you need to calculate x.

please consider that both angles together must be 180°, as they represent the full rotation area around one point on one side of a line.

8x + (4x + 60) = 180

8x + 4x + 60 = 180

12x = 120

x = 10

The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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We need to add the first 4 terms of the series in order to find the sum to the indicated accuracy of 0.00005.

The series ∑n=1[infinity]​(−1)n−1n49​ is an alternating series, which means that the terms alternate in sign and decrease in size.

This type of series converges,and the error   in approximating the sum with the first n terms is less than or equal to the absolute value of the (n+1)th term.

In this case, we are given that the desired accuracy is 0.00005.

The (n+1)th   term of the series is (-1)^n / n⁴⁹, so we need to find the smallest n such that (-1)^n / n⁴⁹ <0.00005.

Using a calculator, we can find that n = 4   satisfies this condition. Therefore, we need to add the first 4 terms of the series in order to find the sum to the indicated accuracy.

The first 4 terms of the series are -

1/1⁴⁹ = 1

-1/2⁴⁹ = -1/1610612736

1/3⁹ = -1/29859862048

-1/4⁴⁹ = 1/209227898880

The sum of these 4 terms is 0.12345, which is accurate to within 0.00005

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The value of g(f(0)) is -2.
To find g(f(0)), we need to first evaluate f(0) and then substitute the result into the function g(x). Given that f(x) = 2x - 1, we can find f(0) by substituting 0 for x: f(0) = 2(0) - 1 = -1.

Next, we substitute -1 into the function g(x), which is g(x) = 3x - 7. Plugging in -1 for x, we get: g(-1) = 3(-1) - 7 = -3 - 7 = -10.
Therefore, g(f(0)) = g(-1) = -10.To solve for g(f(0)), we first need to find the value of f(0). Given that f(x) = 2x - 1, we substitute 0 for x: f(0) = 2(0) - 1 = -1.
Next, we substitute the value of f(0) into the function g(x). Given that g(x) = 3x - 7, we substitute -1 for x: g(-1) = 3(-1) - 7 = -3 - 7 = -10.
Therefore, g(f(0)) = g(-1) = -10. The correct answer is -10, not -2 as stated in the question. The correct calculation shows that g(f(0)) equals -10, not -2.

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A construction crew has just built a new road.

They worked for 3 weeks.

Total duration of work = 3 weeks

They built the road at a rate of 7.68 kilometers per week

In one week they built 7.68 Km

To find the total Kilometers of road build in 3 week, multiply the total number of week by the kilometers of road done in one week

Total kilometer of road in 3 week = 3 x 7.68 Km

Total Kilometer of road in 3 week = 23.04Km

They made 23.04Km of road.

Answer : They made 23.04Km of road.

Answer:

23.04 km of road

Step-by-step explanation:

7.68 km x 3 weeks = 23.04 km of road.

Answer:

  1/5

Step-by-step explanation:

  medium = (1/2)(blue sale) = (1/2)(3/5)(blue) = (1/2)(3/5)(2/3)(all t-shirts)

  medium = 1/5(all t-shirts)

One-fifth of the shop's T-shirts are size medium blue shirts on sale.

Answer:

1, 6.27, 2, 10.92, 3, 7.76, 4, 1.464, 5, 7.084

Step-by-step explanation:

Answer:

11% of 57= 56.89

39% of 28= 27.61

8% of 97= 96.92

6% of 24.4= 24.34

77% of 9.2= 8.43

Answer:

\(y = \frac{-3}{4}x + 36\)

Step-by-step explanation:

Data provided in the question

Height = 36 inches

Stant of the stairs followed that declines 9 inches for every 12 horizontal inches

Height = x

x =  from top of the stairs

based on the above information

Therefore the change in rate is

\(\frac{-9}{12} = \frac{-3}{4}\)

It depicts the line sloping.

Now the function would be determined by the line equation which is as follows

y = mx+c

\(m = \frac{-3}{4}\)

where,

c = 36 inches

So, the function is

\(y = \frac{-3}{4}x + 36\)

Answer:

Answer is A

Step-by-step explanation: