100 decreased by a
number k equals 44

Answer:

52\(\pi\)

Step-by-step explanation:

The total shaded are will be the area of big circle - not shaded circle + little shaded circle.

The are of big shaded circle: \(\pi\)\(r^{2}\) So, A=\(\pi\)(8^2)= 64\(\pi\)

The are of not shaded circle: \(\pi r^{2}\) So, A= \(\pi\)(4^2)= 16\(\pi\)

The are of little shaded cirlce: \(\pi r^{2}\) So, A=\(\pi\)(2^2)= 4\(\pi\)

64\(\pi\) - 16\(\pi\) + 4\(\pi\)= 52\(\pi\)

Answer:

2

Step-by-step explanation:

7x4-3x8+2^2-6 : you have to do exponents 1st

7x4-3x8+4-6 : next you multiply 7x4 and -3×8

28-24+4-6 : you add -24+4

28-20-6 : you subtract 28-20

8-6 : you subtract 8-6

2 : thats your answer

sorry if I'm late

All parts of the problem given have been explained and provided below.

Variables in any particular dataset are defined as any characteristics, numbers, or quantity that can be measured or counted to give information about any object, on which the dataset is based.

So, the variables in this given dataset are;

Overall score

Recommended

owner satisfaction

Overall miles per gallon

Acceleration (0-60) sec

Categorical or qualitative variables are those which can't be quantified or measured. Their values are defined by an order relation between the different categories.

the categorical variables in this dataset are,

Recommended

Owner satisfaction

Quantitative variables are those which can be measured in an order to provide information about an object.

the quantitative variables in this dataset are,

Overall score

Overall miles per gallon

Acceleration (0-60) sec

In the given dataset, 7 vehicles are recommended,

So their percentage would be,

7/15 × 100 = 46.67%

The average overall miles per gallon of these 15 vehicles is 25.4.

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Answer: $32,732.58

Step-by-step explanation:

To calculate the total loan payment over the course of the loan period, use the future value formula:

= Loan amount * (1 + rate) ^ number of years

As this loan is compounded monthly, you need to convert certain terms to monthly figures:

Number of periods = 6 * 12 months = 72 months

Interest = 4.5 / 12 = 0.375%

Total payment:

= 25,000 * ( 1 + 0.375%)⁷²

= $32,732.58

He will have to pay $34,236.31 over the course of the loan.

Using the compound interest formula expressed as:

\(A =P(1+r/n)^{nt}\)

P is the principal = $25000

r is the rate = 4.5% = 0.045

t is the time in years = 6 years

n is the compounding amount = (12)monthly

Substitute into the formula:

\(A =25000(1+0.045/12)^{12(7)}\\A=25000(1.36945)\\A = \$34,236.31\)

Hence he will have to pay $34,236.31 over the course of the loan

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Answer:

154 pounds

Step-by-step explanation:

If h=68, then w=5.5(68)-220=374-220=154

Answer:

We can use the distributive property of multiplication to expand the given expression as follows:

(x - 8) (x - 3) (x + 9) = (x - 8) (x^2 + 6x - 27) [Using (a - b)(a + b) = a^2 - b^2]

= x(x^2 + 6x - 27) - 8(x^2 + 6x - 27) [Using distributive property]

= x^3 + 6x^2 - 27x - 8x^2 - 48x + 216 [Using distributive property]

= x^3 - 2x^2 - 75x + 216

Therefore, the answer is (B) x^2-2x-59

Hope This Helps!

Answer:

Exact Form:

7/2

Decimal Form:

3.5

Mixed Number Form:

3 (1/2)

I hope this helps! :)

The approximate probability that the mean annual rainfall during 36 randomly picked years will exceed 103.8 inches is 0.028717.

The annual rainfall in a region has a distribution with a mean of 100 inches and a standard deviation of 12 inches. We need to find out the approximate probability that the mean annual rainfall during 36 randomly picked years will exceed 103.8 inches.

Let the sample size, probability, mean, standard deviation, and z-score be represented by the variables n, P, μ, σ, and z.

μ = 100

s = 12

σ = s/√n = 12/√36 = 12/6 = 2

Now we will calculate the z-score. We consider this a normal distribution.

z = (x - μ)/σ

z = (103.8 - 100)/2

z = 3.8/2 = 1.9

We will now calculate the probability using a z-value table.

P(x > 103.8) = P(z > 1.9)

P = 0.028717

Hence, the approximate probability that the mean annual rainfall during 36 randomly picked years will exceed 103.8 inches is 0.028717.

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The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.

In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.

In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.

Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.

Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.

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Answer:

The other taxes are $135.

Step-by-step explanation:

From the information provided, you know that Oliver pays $180 in payroll tax and that the federal income tax is 0.75 of the payroll tax, so in order to find how much are the other taxes you have to calculate the 0.75 of the payroll tax Oliver pays:

180*0.75=135

According to this, the answer is that the other taxes are $135.

Answer:

5

Step-by-step explanation:

Answer:

The volume of water in the kiddie pool after 3 hours will be 357 cubic feet (ft³)

Height is the dimension that would relate to water level.

Step-by-step explanation:

The volume of a rectangular prism can be calculated using the formula

\(V = lwh\)

\(V\) is the volume

\(l\) is the length

\(w\) is the width

and \(h\) is the height

From the question,

When the day started the pool was completely full of water, that is, the volume of water in the pool will be the capacity of the rectangular prism kiddie pool.

From the question,

\(l\) = 6 feet

\(w\) = 7 feet

\(h\) = 10 feet

Hence,

\(V = 6 feet \times 7 feet \times 10 feet\)

\(V = 420 cubic feet (ft^{3} )\)

This is the volume of the water in the pool when the day started.

Also, from the question

After 3 hours, the water level had decreased by 1.5 feet, that is the height had decreased by 1.5 feet

Then, the new height is

10 feet - 1.5 feet = 8.5 feet

h = 8.5 feet

Now, to determine the volume after 3 hours

\(V = 6 feet \times 7 feet \times 8.5 feet\)

\(V = 357 cubic feet (ft^{3} )\)

Hence, the volume of water in the kiddie pool after 3 hours will be 357 cubic feet (ft³)

The dimension that would relate to water level will be the height.

Neglect a is constructive response to job satisfaction is the false statement.

Neglect is not a constructive response to job satisfaction. It refers to a situation where employees feel ignored, unappreciated, or unsupported in their work, which can negatively impact their job satisfaction. Constructive responses to job satisfaction involve addressing concerns, providing support, and promoting a positive work environment.

Job satisfaction refers to an individual's level of contentment and fulfillment with their job. It is influenced by various factors such as work environment, compensation, relationships with colleagues, opportunities for growth, and alignment with personal values.

When employees experience job dissatisfaction, they may respond in different ways. One possible response is neglect, which refers to a passive and disengaged attitude towards work. Neglectful employees may become indifferent, withdraw their effort, or mentally check out from their responsibilities.

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Answer:

Answer is 235/45

Step-by-step explanation:

The reaction of the graduate student on inflation is that a cost-of-living increase to her stipend.      

Inflation is the pace of expansion in costs over a given time-frame. Inflation is regularly a wide measure, like the general expansion in costs or the expansion in the typical cost for many everyday items in a country.

Inflation is term which states there is an expansion in the cost level for any labor and products.

In the unique situation, a set of experiences graduate living in the US got a payment of 18,000 dollar. However, there is a critical expansion that US economy endures. In this way the expense of products and the administrations accessible to individuals increments quickly. Individuals presently need to spend more on everything. Accordingly the alumni understudy requirements to request the typical cost for most everyday items to be remembered for the payment as need might arise to spend more on living.

Thus, graduate student argue on the a cost-of-living increase to her stipend.      

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Rounding up to the nearest whole number, we would need a sample size of at least 105 businesses to construct a 99% confidence interval with a 4% margin of error.

To determine the sample size required to construct a 99% confidence interval for the proportion of businesses with a 4% margin of error, we need to use the formula:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (99% confidence level corresponds to a Z-score of approximately 2.576)

p = estimated proportion (since we don't have an estimate, we can assume p = 0.5 to get a conservative estimate)

E = margin of error (0.04 or 4%)

Plugging in the values, we have:

n = (2.576^2 * 0.5 * (1-0.5)) / 0.04^2

n = (6.638176 * 0.25) / 0.0016

n ≈ 104.364

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Herman Hollerith proposed the use of punched cards for counting the census.

The punched card system for counting the census was proposed by Herman Hollerith. Hollerith was an American inventor and statistician who developed the punched card tabulating machine. He presented his idea in the late 19th century as a solution to the challenge of processing and analyzing large amounts of data efficiently.

Hollerith's system involved encoding information on individual cards using punched holes to represent different data points. These cards were then processed by machines that could read and interpret the holes, enabling the automatic counting and sorting of data. The punched card system revolutionized data processing, making it faster and more accurate than manual methods.

Hollerith's invention laid the foundation for modern computer data processing techniques and was widely adopted, particularly by government agencies for tasks like the census. His company eventually became part of IBM, which continued to develop and refine punched card technology.

In summary, Herman Hollerith proposed the use of punched cards for counting the census. His invention revolutionized data processing and laid the groundwork for modern computer systems.

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(i) A'∩B' = {1,6,8,10}

(ii) A - (B∪C) = {2,4}

(iii) (A-B)∪(B-C) = {2,4}

(i) We have verified that A∪(B∩C) = (A∪B)∩(A∪C)

(ii) We have verified De-Morgan's law

From the question, we are to find the given set operations

From the given information,

U = {1,2,3,...10}

A = {2,3,4,5}

B = {3,5,7,9}

C = {1,3,5,7,9}

We are to find

(i) A'∩B'

A' = {1,6,7,8,9,10}

B' = {1,2,4,6,8,10}

∴ A'∩B' = {1,6,8,10}

(ii) A - (B∪C)

A = {2,3,4,5}

Now, find (B∪C)

B∪C = {1,3,5,7,9}

∴ A - (B∪C) = {2,4}

(iii) (A-B)∪(B-C)

A-B = {2,4}

B-C = { }

∴ (A-B)∪(B-C) = {2,4}

We are to verify

(i) A∪(B∩C) = (A∪B)∩(A∪C)

First, determine A∪(B∩C)

A = {2,3,4,5}

B∩C = {3,5,7,9}

∴ A∪(B∩C) = {2,3,4,5,7,9}

Now, determine (A∪B)∩(A∪C)

A∪B = {2,3,4,5,7,9}

A∪C = {1,2,3,4,5,7,9}

∴ (A∪B)∩(A∪C) = {2,3,4,5,7,9}

Thus,

A∪(B∩C) = (A∪B)∩(A∪C)

(ii) De-Morgan's law

De-Morgan's law states that

(A∪B)' = A'∩B'

(A∩B)' = A'∪B'

For (A∪B)' = A'∩B'

A∪B = {2,3,4,5,7,9}

∴ (A∪B)' = {1,6,8,10}

A' = {1,6,7,8,9,10}

B' = {1,2,4,6,8,10}

∴ A'∩B' = {1,6,8,10}

Thus,

(A∪B)' = A'∩B'

Also,

For (A∩B)' = A'∪B'

A∩B = {3,5}

(A∩B)'  = {1,2,4,6,7,8,9,10}

A' = {1,6,7,8,9,10}

B' = {1,2,4,6,8,10}

∴ A'∪B' = {1,2,4,6,7,8,9,10}

Thus,

(A∩B)' = A'∪B'

Hence, we have verified that A∪(B∩C) = (A∪B)∩(A∪C), and we have also verified De-Morgan's law

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Answer:

6 cubic inches

Step-by-step explanation:

To find the volume of a box you do Length * Width * Height

So we can do:

6*4*2/8

=24*2/8

=6

The volume of the box is 6 cubic inches

Answer:

Step-by-step explanation:

Susan has a collection of 98 nickels and dimes. If the number of nickels is six times the number of dimes, how many nickels and how many dimes does she have?

nickels = x

dimes = 6x

6x + x = 7x

98 : 7 = 14   (nickels)

14 x 6 = 84 (dimes)

-----------------------

14 + 84 = 98 (the answer is good)

On solving the provided question we can say that by linear equation x = 12 and y = 35

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

as here we have,

There are =  63 days left in the marking period.

so, Marking Period 3rd Grading Period 21 - 22 January 3, 2022 March 11, 2022 =

63x + 21y = 100

22x + 3y = 64

and, x = 12 and y = 35

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Answer:

Step-by-step explanation:

Answer:

*Answer- X=8*

(my writing sucks , I'm sorry)

Answer:

Slope is 3/2

Step-by-step explanation:

3x-2y=6

-2y=-3x+6

y=3/2-3

Answer:

\(y=-\frac{1}{9}(x-2)^2-3\)

Step-by-step explanation:

When a quadratic equation is in the form \(y=a(x-h)^2+k\) (vertex form):

Therefore, if the vertex of the function is at (2,-3), h needs to be 2 for \((x-h)^2\)  to equal 0 and k needs to be -3. The only equation that displays this is G:

\(y=-\frac{1}{9}(x-2)^2-3\)

I hope this helps!

Answer:

Step-by-step explanation:

3.14(3*5 + 3 to the power of 2)

3.14 * (3 * 5 + 3²) =

3.14 * (15 + 9) =

3.14 * 24 = 75.36 or 24π

Binary numbers into decimals:

(a) 10102 = -42 in decimal
(b) 1101102 = -210 in decimal
(c) 011100002 = 112 in decimal
(d) 10011111 = -9 in decimal

In two's complement binary representation, the most significant bit (MSB) represents the sign bit of the number (1 for negative and 0 for positive). For example, to convert 10102 to decimal, the leftmost bit is 1 which indicates that it is a negative number. The rest of the number is the magnitude of the number in binary.

To convert this binary number to decimal, first convert the number to decimal without taking the sign bit into consideration. In this case, the number is 010 which is equal to 2 in decimal. Then, multiply the sign bit (1) with the magnitude (2) to get the final answer which is -2 in decimal. Similarly, 1101102 is equal to -210 in decimal.

To convert a positive two's complement binary number to decimal, simply convert the binary number to decimal. For example, 011100002 is equal to 112 in decimal. To convert a negative two's complement binary number to decimal, multiply the magnitude with the sign bit (which is 1) and subtract it from the total.

For example, 10011111 is equal to 0111 in decimal. Multiplying the magnitude (0111) with the sign bit (1) gives 0111 which is subtracted from the total to give -9 in decimal.

In summary, two's complement binary numbers can be easily converted to decimal by simply following the rules above.

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This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "pening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

Hence, This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

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