Solve the equation $32.001647(x-9.87)=31.999897(x-9.87)+0.000847.$ Enter your answer as an integer or decimal.

The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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Answer:

Rise/run or y=mx+b

Step-by-step explanation:

Answer:

112 inches I believe! I hope this helps!

Step-by-step explanation:

Answer:

2004 cubic inches

Step-by-step explanation:

Looking at the figure, there seems to be a chunk missing from the front. Since the overall length is 15 inches, and the length near the missing chunk is 12, then the missing length is 3. If that chunk was filled in, this would have been a 17 * 15 * 8 rectangluar prism. That would have been 2040 cubic inches. (120 * 17) However, a 3 by 8 by 3 triangular prism is missing.

1/2(3 * 8 * 3)

1/2(24 * 3)

1/2(72)

36

Now, subtract 36 from 2040.

2040 - 36

2004 cubic inches

2004 cubic inches of gas will fill this gas can.

Answer:

i have no clue whats going on sorry i cant help

Step-by-step explanation:

Answer:

60

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

pop

Step-by-step explanation:

Answer:

Lauren is 14

Step-by-step explanation:

Lauren is 14

2nd Sibling is 15

3rd sibling is 16

14 + 15 + 16 = 45

"a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years.

The 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].According to the central limit theorem , a sampling distribution of the means is usually distributed in a normal distribution, given a big enough sample size, which means that it has a bell-shaped curve. It has a standard deviation that can be estimated by dividing the population standard deviation by the square root of the sample size. Using the formula below,

we can calculate the 95% confidence interval for the population average.= 13.8 ± (1.96 × 7.3 / √45)

= 13.8 ± (1.96 × 1.088)

= 13.8 ± 2.13The limits are calculated by adding and subtracting the calculated value from the sample mean.13.8 + 2.13

= 15.9313.8 - 2.13

= 11.67Therefore, the 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].

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Answer:

XW = 134

Step-by-step explanation:

The fact that YZ bisects VW means that the angles VX and XW are supplementary, that is, they add to 180º. So

VX + XW = 180

We have that VX = 46. So

46 + XW = 180

XW = 134

Answer:

sin(B) = cos(90 - B).

Step-by-step explanation:

To answer this question, you must understand SOH CAH TOA.

SOH = Sine; Opposite divided by Hypotenuse

CAH = Cosine; Adjacent divided by Hypotenuse

TOA = Tangent; Opposite divided by Adjacent

I roughly drew a triangle for reference. Let's say we have a 3-4-5 triangle.

As you can see, sin(b) does not equal sin(a). To get the sine of an angle, you would do opposite over hypotenuse. For angle B, that would be 3/5, while for angle A, that would be 4/5.

As stated above, sin(B) is 3/5. Now, if you did cos(90 - B), it would be the same thing as cos(A). This is because the triangle is a right triangle. Since a triangle has 180 degrees, and one angle is a right triangle, the other two angles will add up to be 90 degrees. So, 90 - B = A. cos(A) is the same thing as adjacent over hypotenuse, which is 3/5. So, sin(B) = cos(90 - B) must be true.

Let's just check the others to make sure they are false.

cos(B) = 4/5.

sin(180 - B) is basically the same thing as sin(A + C), which is definitely NOT 4/5.

cos(B) = 4/5, which is NOT the same as A.

So, your answer is sin(B) = cos(90 - B).

Hope this helps!

Answer:

Step-by-step explanation:

Equations

Subtract the second equation from the first one side-by-side:

The answer is 2

These conversions can be carried out for any amount of mass given in grams.

0.379 g = 379 mg

787 g = 0.787 Mg

74.3 g = 0.0743 kg

1. To convert 0.379 g to mg, multiply 0.379 by 1000. 0.379 x 1000 = 379 mg.

2. To convert 787 g to Mg, divide 787 by 1000. 787 / 1000 = 0.787 Mg.

3. To convert 74.3 g to kg, divide 74.3 by 1000. 74.3 / 1000 = 0.0743 kg.

The 0.379 g was converted to 379 mg, 787 g was converted to 0.787 Mg, and 74.3 g was converted to 0.0743 kg.

The conversion of 0.379 g to mg is done by multiplying 0.379 by 1000. The result is 379 mg. To convert 787 g to Mg, divide 787 by 1000. The result is 0.787 Mg. To convert 74.3 g to kg, divide 74.3 by 1000. The answer is 0.0743 kg. In summary, 0.379 g was converted to 379 mg, 787 g was converted to 0.787 Mg, and 74.3 g was converted to 0.0743 kg. This demonstrates how to convert mass from grams to different derived units. These conversions can be carried out for any amount of mass given in grams.

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1.-

Circumference = 2 pi r

= 2 * 3.14 * 28.1/2

= 44.1 yd letter B

2.- Circumference = 2*pi* r

= = 2*3.14*11

= 69.08 in letter H

3.- Area = pi*r^2

= 3.14*(9)^2

= 254.34 mm^2 Letter B

Answer:

y2-y1/x2-x1

Step-by-step explanation:

Answer: newtons

Step-by-step explanation:

Answer:

I believe it is Newtons :)

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

4 juniors out of a total of 10

4/10 = 0.4

Answer:

See explanation

Step-by-step explanation:

We can see that the sequence is 90, 86,82,.......

The common difference is  86 - 90 = -4

                                             82 - 86 = -4

Hence the sequence is arithmetic

The function is;

t(n) = 90 + (n - 1)(-4) = 90 + 4 - 4n

t(n) = 94 - 4n

Since it is AP, we have the sequence as;

90, 86, 82, 78, 74, 70, 66, 62......

He will no longer play football after the eighth quiz.

The total points earned is the sum of the first eight terms of the AP

Sn =n/2[2a + (n - 1) d]

Sn = 8/2[2(90) + (8 - 1) (-4)]

Sn = 608 points

Answer:

1

Step-by-step explanation:

The kids' judgments of the significance of excellent nutrition in the food given may vary based on the students' ages and, consequently, on school level, making this variable an useful one to stratify the survey on.

Each sample has an equal chance of being picked when using the random sampling sampling approach. It is intended that a sample picked at random will be a fair reflection of the entire population. Two different approaches to sampling exist: Random selection is a key component of probability sampling, which enables you to draw robust statistical conclusions about the entire group. Non-probability sampling incorporates non-random selection based on practicality or other factors, making it simple to gather data.

The student's degree of education is one potential stratification factor. Depending on the kids' ages and, thus, on their academic ability, the students' judgments of the significance of nutritious meals may vary. In contrast to middle school and high school pupils, elementary school children may place different values on the food that is offered.

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The domain on which the graph described as in the image is increasing is to be determined; (-4, ∞).

It follows from the task content that the domain for which the function described by the graph is increasing is to be determined.

Since the graph is a quadratic function which opens upward and whose minimum point is at; x = -4.

Also, since a graph of a function, f(x) is increasing when f'(x) > 0.

Therefore, by observation the graph is increasing on the domain defined by; (-4, ∞).

Put simply, the function is increasing in the Domain; x > -4.

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Answer:

you need to be more specific

Step-by-step explanation:

Answer:

line segment

Step-by-step explanation:

the answer is above

the discount amount is RS 160.

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. The discount may be a percentage of the original price or a specific amount of money.

Let the market price of the watch be x.

After allowing a 10% discount, the selling price becomes 0.9x.

Then, adding 15% VAT, the final selling price is:

0.9x + 0.15(0.9x) = 1.035x

We know that the final selling price is RS 1656, so we can set up an equation:

1.035x = 1656

Solving for x, we get:

x = 1600

Therefore, the market price of the watch was RS 1600.

The discount amount is the difference between the market price and the discounted selling price:

Discount amount = Market price - Discounted selling price

= 1600 - 0.9x

= 1600 - 0.9(1600)

= 1600 - 1440

= 160

So the discount amount is RS 160.

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(a) The sample size for the above sample is 15.

(b) The sample mean for these data is 3.8.

(c) The sample median is 3.6.

(d) To compute the 20% trimmed mean for the above data set is 3.7.

(e) The sample mean is less descriptive as the location's center (median) than the trimmed mean.

The following measurements were recorded for the drying time, in hours

3.4      2.5      4.8      2.9      3.6 is:

2.8      3.3      5.6      3.7      2.8

4.4      4.0      5.2      3.0      4.8

(a) We have to determine the sample size for the above sample.

The number of participants or observations included in a study is referred to as the sample size. This number is commonly represented by the symbol n.

Sample Size (n) = 15

(b) We have to calculate the sample mean for these data.

Sample Mean = Total Sum of data/Total Number

Sample Mean = (3.4 + 2.5 + 4.8 + 2.9 + 3.6 + 2.8 + 3.3 + 5.6 + 3.7 + 2.8 + 4.4 + 4.0 + 5.2 + 3.0 + 4.8)/15

Sample Mean = 56.8/15

Sample Mean = 3.8

(c) We have to calculate the sample median.

To define the sample median we first represent the data in ascending order.

2.5, 2.8, 2.8, 2.9, 3.0, 3.3, 3.4, 3.6, 3.7, 4.0, 4.4, 4.8, 4.8, 5.2, 5.6

Sample Size(n) = 15

So Median = (n+1)/2th term

Median = (15 + 1)/2th term

Median = 16/2th term

Median = 8th term

So the 8th term in the given data is 3.6. So,

Median = 3.6

(d) We have to compute the 20% trimmed mean for the above data set.

To compute the 20% termed mean, remove 20% of the largest and 20% of the smallest elements from the sample and compute the mean of the new sample.

New sample: 2.9 3.0 3.3 3.4 3.6 3.7 4.0 4.4 4.8

New Mean = 33.3/9

New Mean = 3.7

(e) We have to check is the sample mean for these data more or less descriptive as a center of location than the trimmed mean.

The mean value is 3.8, the median value is 3.6, and the trimmed mean value is 3.7. As a result, the sample mean is less descriptive as the location's center (median) than the trimmed mean.

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The complete question is:

The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint.

3.4      2.5      4.8      2.9      3.6

2.8      3.3      5.6      3.7      2.8

4.4      4.0      5.2      3.0      4.8

Assume that the measurements are a simple random

sample.

(a) What is the sample size for the above sample?

(b) Calculate the sample mean for these data.

(c) Calculate the sample median.

(d) Compute the 20% trimmed mean for the above data set.

(e) Is the sample mean for these data more or less descriptive as a center of location than the trimmed mean?

Answer:

Distance from point AA to point BB = 189.3 feet

Step-by-step explanation:

Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;

distance from point AA to point BB = x - y

To determine the value of x, applying the required trigonometric function;

Tan θ = \(\frac{opposite}{sdjacent}\)

Tan 13 = \(\frac{102}{x}\)

x = \(\frac{102}{Tan 13}\)

  = 441.81 feet

x = 441.8 feet

To determine the value of y;

Tan 22 = \(\frac{102}{y}\)

y = \(\frac{102}{Tan 22}\)

  = 252.46

y = 252.5 feet

Thus,

distance from point AA to point BB = 441.8 - 252.5

                                                           = 189.3 feet

Answer:

Option C

Step-by-step explanation:

sorry if I'm wrong..

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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