Why can’t we measure in this experiment the period T using the elapsed time for a single revolution, given that this is definition of period (period = time for one revolution to take place)?

Answer:

h=6

k=2.5

m=4.58

n=3\(\sqrt{10\)

p=4.12

Step-by-step explanation:

Answer: R=(320,380)

Step-by-step explanation:

if mia cannot work more than 5 hours overtime a week

then x<5

or x=5 (maximum)

so the domain is (0,5)

and the range will be y when x is (0,5)

so the range is(320,380)

Answer:

4.2 ft

Step-by-step explanation:

We can assume that the truck is vertically straight, so this will make up the vertical side of the triangle.

This means that the triangle is a right triangle since a right angle will be formed with the ground and the 3 ft side.

Next, we have the ramp length which is 5.2 ft long. This will be the hypotenuse of the right triangle since the ramp is slanted.

We want to find the length of the horizontal leg of the right triangle, which will give us the horizontal distance the ramp reaches.

We can use the Pythagorean Theorem since this is a right triangle:

Substitute these values into the equation and solve for b.

The horizontal distance the ramp reaches is 4.2 ft, parallel to the ground.

The SAT has two sections, Mathematics and Reading, and the combined score is reported on a scale of 400 to 1600. The Z-score is (1600 - 1003) / 220 = 2.37.

The normal distribution is widely used in statistics and is a useful tool for analyzing many types of observations and data in nature and the sciences. Standard deviation is a measure of the spread of the distribution and can be used in computation of various probabilities.

To determine the proportion of SAT scores that were reported as 1600 or higher, we need to find the number of standard deviations above the mean a score of 1600 would be.

Using the normal distribution and Z-scores, we can calculate the Z-score for a score of 1600, given the mean of 1003 and standard deviation of 220.

The Z-score is (1600 - 1003) / 220 = 2.37.

This means that a score of 1600 is 2.37 standard deviations above the mean.

To find the proportion of scores that are higher than 1600, we can use a standard normal table to look up the area under the normal curve to the right of the Z-score of 2.37.

This proportion is approximately 0.9906,

meaning that approximately 99.06% of the SAT scores were lower than 1600, and only 0.94% of the scores were higher and reported as 1600.

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The performance is likely to increase, as the feature size will be reduced, leading to increased efficiency of the processor.

Effect of Decreasing Feature Size on Processor Performance

The performance of a processor is largely determined by its feature size. As the feature size decreases, the processor can process more information in a given time due to the increased efficiency of its components. In this case, the designer has chosen to use a manufacturing process that decreases the feature size of the processor. This means that the processor will be able to process more information in a given time, leading to an increase in performance. All else being constant, the performance of the processor is likely to increase.

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Answer:

\(72\)

Step-by-step explanation:

\(f(x)=2x^2\)

replace x with -6

\(f(-6)=2(-6)^2\)

exponent

\(f(-6)=2(36)\)

multiply

\(f(-6)=72\)

The segments can form a Triangle.

The Pythagorean theorem, or Pythagorean theorem, illustrates the relationship between the three sides of a right-angled triangle. The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.

We have Three segments as:

AB = 12 unit, BC = 9 unit, AC = 7 unit

The longest segment is 12 unit

So, AB² = 12² = 144

and, BC² + AC²

= 9² + 7²

= 81 + 49

= 130

So, a right angles triangle is not possible.

Now, using Triangle Inequality

12+ 9 >7

12 + 7>9

9 + 7> 12

Thus, a Triangle can be possible but not Right angles Triangle.

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Answer:

y = x + 2

Step-by-step explanation:

Each y value is 2 greater than the x value

the control limits for the x-bar chart are 9.7439 minutes (LCL) and 11.0561 minutes (UCL), and the control limits for the R chart are 0 minutes (LCL) and 2.0529 minutes (UCL).

To compute the control limits for the x-bar (mean) and R (range) charts, we'll use the following formulas:

For the x-bar chart:

Upper Control Limit (UCL) for x-bar = x-double-bar + A2 * R-bar

Lower Control Limit (LCL) for x-bar = x-double-bar - A2 * R-bar

For the R chart:

Upper Control Limit (UCL) for R = D4 * R-bar

Lower Control Limit (LCL) for R = D3 * R-bar

Where:

x-double-bar = Overall mean of the sample means

R-bar = Overall mean of the sample ranges

A2 = Constant from the control chart constants table

D4 = Constant from the control chart constants table

D3 = Constant from the control chart constants table

For sample sizes of 4, the control chart constants are as follows:

A2 = 0.729

D4 = 2.281

D3 = 0

Given the information you provided:

Overall mean (x-double-bar) = 10.4 minutes

Average range (R-bar) = 0.9 minutes

Let's calculate the control limits:

For the x-bar chart:

UCL for x-bar = 10.4 + 0.729 * 0.9

             = 10.4 + 0.6561

             = 11.0561 minutes

LCL for x-bar = 10.4 - 0.729 * 0.9

             = 10.4 - 0.6561

             = 9.7439 minutes

For the R chart:

UCL for R = 2.281 * 0.9

         = 2.0529 minutes

LCL for R = 0

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Answer:

18

Step-by-step explanation:

Convert the mixed number to an improper fraction 9/2÷1/4

Reduce the numbers with the greatest common factor 2

and then multiply the numbers 9×2=18 ✅

The Economic Order Quantity (EOQ) is calculated to be 547.72 units. The number of orders placed per year is 5.84, and the reorder point (ROP) is 32.01.

The total holding cost of lawnmowers is R1369.30, and the total ordering cost of lawnmowers is R876.00. These calculations provide valuable insights for efficient inventory management.

The Economic Order Quantity (EOQ) can be calculated by using the formula: EOQ = √2DS / H,

where D = Total Demand = 3200 units,

S = Ordering cost per order = R150,

and H = Annual holding cost per unit = R5.

Therefore, EOQ = √ (2 x 3200 x 150) / 5 = 547.72 units.

4.2 Number of orders placed per year: No of orders per year = D / Q,

where D = Total Demand = 3200 units and Q = EOQ = 547.72 units.

Therefore, No of orders per year = D / Q = 3200 / 547.72 = 5.84 orders.

4.4 Total holding cost of lawnmowers:

Total holding cost of lawnmowers = (Average inventory level) x (Annual holding cost per unit),

where (Average inventory level) = EOQ / 2 = 547.72 / 2 = 273.86 units and Annual holding cost per unit = R5.

Thus, the Total holding cost of lawnmowers = 273.86 x R5 = R1369.30.

4.1 Reorder Point (ROP): ROP can be calculated by using the formula:

ROP = dL, where d = Daily demand = D / Number of working days

= 3200 / 300 = 10.67 and L = Lead time = 3 days.

Hence, ROP = dL = 10.67 x 3 = 32.01.

4.5 Total ordering cost of lawnmowers:

Total ordering cost of lawnmowers = (Number of orders placed per year) x (Ordering cost per order),

where (Number of orders placed per year) = 5.84 orders and Ordering cost per order = R150.

Therefore, the Total ordering cost of lawnmowers = 5.84 x R150 = R876.00.

The Economic Order Quantity (EOQ) is calculated to be 547.72 units.

The number of orders placed per year is 5.84, and the reorder point (ROP) is 32.01.

The total holding cost of lawnmowers is R1369.30, and the total ordering cost of lawnmowers is R876.00.

These calculations provide valuable insights for efficient inventory management.

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So the amount of gain that can be deferred under the installment sale method is $424,879.16.

Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.

Here,

To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.

Selling price = $99,800 cash + $998,000 note = $1,097,800

Adjusted basis = $798,400 - $479,040 = $319,360

Total gain = $1,097,800 - $319,360 = $778,440

To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:

Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%

Now we can calculate the amount of gain that can be deferred using the formula:

Gain deferred = Gross profit percentage × Payments received

Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:

$99,800 + ($998,000 / 2) = $598,800

Substituting into the formula, we get:

Gain deferred = 0.7097 × $598,800 = $424,879.16

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Answer:

The 3 digit number 642 when multiplied 97 gives the greater product.

Step-by-step explanation:

The greatest product will result by multiplying the smaller 3 digit number with the greater two digit number.

The greater three digit number will be 976 and smaller 2 digit number would be 42

Multiplying

976*42 = 40992   ( descending order number)

679 *24= 16,296  ( ascending order number)

If we take the 2 digit number as 97 and  3digit number 642

Then multiplying

642* 97= 62,274  ( descending order  number)

246 * 79=19434   ( ascending order number)

The 3 digit number 642 when multiplied 97 gives the greater product.

Answer:

The percent change is approximately 66%.

Step-by-step explanation:

200 is one-third of 600. In math involving percentages, division comes into play in some ways. Divide 600 by 3, and you get 200. 33% is a third of 100% in mathematics, meaning that 200 is one-third, or 33%, of 600.

Answer:

the answer is 66

Step-by-step explanation:

i just did the test

Answer:

4 months

Step-by-step explanation:

y=179+40x.  Equation 1

y=31+77x.     Equation 2

179+40x=31+77x. Replace y from equation 1 and replace y of equation 2

148=37x

4=x

Frequency distributions, count the number of times each value or range of values appears in a dataset, while percentage distributions show the proportion or percentage of times each value or range of values appears in the dataset.

Frequency distributions are useful for summarizing and describing the distribution of a variable in a data set, while percentage distributions are useful for comparing different variables or subgroups within the data set.

For example, a frequency distribution could be used to show the number of hours of sleep each participant in a study gets per night, while a percentage distribution could be used to compare the number of hours of sleep between males and females in the study.

Frequency distributions and percentage distributions provide different perspectives on the same data set and can be used together to gain a more complete understanding of the data.

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Answer:

Might be B

Step-by-step explanation:

try if you like its 50/50

Answer:

your still 3 miles away from your house

Step-by-step explanation:

10 miles away - 7 miles back = 3 miles left to go

so the answer is 3 mile

i hope this helped! have a great rest of ur day :)

it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

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Answer:

x = 12

Step-by-step explanation:

From the similar figures given in the picture,

(Figure A ~ Figure B)

Corresponding sides of the figures will be proportional.

By this property of the similarity,

\(\frac{x}{10}= \frac{30}{25}\)

x = \(\frac{300}{25}\)

x = 12

— reading 189 pages in 63 minutes is a page of 3 pages in one minute

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

2s +9

———

3r ÷ s

(If r = -14 and s = 6)

\( \large \boxed{\mathfrak{Answer \: with \:Explanation} \downarrow}\)

\( \sf\frac{2s + 9}{3r \div s} \\ \)

Substitute the values of r & s with -14 & 6 respectively.

\( \sf\frac { 2 ( 6 ) + 9 } { 3 ( - 14 ) \div ( 6 ) } \\ \)

Multiply 2 and 6 to get 12.

\( \sf\frac{12+9}{\frac{3\left(-14\right)}{6}} \\ \)

Add 12 and 9 to get 21.

\( \sf\frac{21}{\frac{3\left(-14\right)}{6}} \\ \)

Multiply 3 and -14 to get -42.

\( \sf\frac{21}{\frac{-42}{6}} \\ \)

Divide -42 by 6 to get -7.

\( \sf\frac{21}{-7} \\ \)

Divide 21 by -7 to get -3.

\( = \boxed{ \boxed{\bf \: - 3}}\)

Answer:

25+9

--------

3r÷5

=2×6+9

----------

3×(-14)÷6

=12+9

---------

(-42)÷6

=21

----

-7

=_3

Answer:

2.83 seconds

Step-by-step explanation:

In the given equation, h represents the height (in feet) of the rock above the river at time t seconds after it is dropped, and the equation is h = -16t^2 + 128.

When the rock reaches the river, its height above the river will be zero. So, we can set h = 0 in the equation and solve for t:

0 = -16t^2 + 128

Dividing both sides by -16, we get:

t^2 = 128/16

t^2 = 8

Taking the square root of both sides, we get:

t = ±√8

Since time cannot be negative, we take the positive square root:

t = √8 ≈ 2.83 seconds

Therefore, it will take the rock approximately 2.83 seconds to reach the river.

Answer:

x = -3, y = 9

Step-by-step explanation:

-5x - 5y = -30

x - y = 6

x = -y + 6

10x + 3y = -3

10(-y + 6) + 3y = -3 (plug in x from the previous equation)

60 - 10y + 3y = -3

60 - 7y = -3

-7y = -63

y = 9

x = -y + 6

x = -(9) + 6

x = -3

How many kilometers he ran per hour?

Alex ran 6 kilometers per hour.

The ratio can be calculated as follows:

The first is to convert mixed fractions to improper fraction

4 \(\frac{1}{2}\) km =  \(\frac{(4x2)+1}{2}\) km

= \(\frac{8+1}{2}\) km

= \(\frac{9}{2}\) km

The next step is to compare worth comparison

\(\frac{a1}{b1}\) = \(\frac{a2}{b2}\)

\(a_{1}\) = 4 \(\frac{1}{2}\) km = \(\frac{9}{2}\) km

\(a_{2}\) = X

\(b_{1}\) = \(\frac{3}{4}\) hour

\(b_{2}\) = 1 hour

So,

\(\frac{9/2}{3/4}\) = \(\frac{X}{1}\)

X = \(\frac{(9/2)x1}{3/4}\)

X = \(\frac{9/2}{3/4}\)

X = \(\frac{9}{2}\) × \(\frac{4}{3}\)

X = \(\frac{36}{6}\) kilometers

X = 6 kilometers

Alex ran 6 kilometers per hour.

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Answer:

24 cubic feet

Step-by-step explanation:

3 × 4 × 2 = 24

Step-by-step explanation:

The formula for volume is l×w×h, a d the ending unit will be cubed/to the third power.

So you would do 4ft×3ft×2ft, which equals 24ft³