How can the quotient of powers law be used to show that a negative exponent is equivalent to the reciprocal
of the positive exponent?

Answer:

if it is similar it would be 19

Step-by-step explanation:

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The measure of the unknown sides is equivalent to 12.6

The given figure is a circle geometry with the perpendicular lines intersecting both segments of the circle.

We need to determine the measure of x. Since the measure of the perpendicular lines are equal, hence the measure of the line of the segments will also be equal.

Hence:

x = 6.3 + 6.3

x = 12.6

Therefore the measure of x from the given diagram is equivalent to 12.6

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A system of equations to model this scenario is given as follows -

x + y = 320

7x + 10y = 2900

        {m} - slope                 {c} - intercept along the y - axis.

Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.

Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -

x + y = 320

7x + 10y = 2900

Therefore, a system of equations to model this scenario is

x + y = 320

7x + 10y = 2900

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Answer: the last option is correct

Step-by-step explanation:Using the formulas for converting Cartesian coordinates to polar coordinates:

r = √(x^2 + y^2)

θ = atan2(y, x)

where x and y are the Cartesian coordinates, r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.

Given the Cartesian coordinates (x, y) = (-7√3/2, 7/2), we can substitute these values into the formulas:

r = √((-7√3/2)^2 + (7/2)^2)

θ = atan2(7/2, -7√3/2)

Simplifying the expressions:

r = √(147/4 + 49/4) = √(196/4) = √49 = 7

θ = atan2(7/2, -7√3/2)

Using a calculator or reference table to find the arctangent of 7/2 divided by -7√3/2, we get:

θ ≈ 5π/6

So the correct answer is: (7, 5π/6), which is option (6).

Answer:

3

Step-by-step explanation:

If blue, then 60%. 2/5 are red and 1/3 are blue. Two redfish and three bluefish are present. if the aquarium has 1 fewer redfish than bluefish. 60% of the fish are blue. There are 5 out of 3 blue fish in the aquarium.

\(csc(-x)-1~~ = ~~\cfrac{cos^2(x)}{csc(-x)+1} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{cos^2(x)}{csc(-x)+1}\implies \cfrac{1-sin^2(x)}{\frac{1}{sin(-x)+1}}\implies \cfrac{1-sin^2(x)}{\frac{1}{-sin(x)+1}}\implies \cfrac{[1-sin(x)][1+sin(x)]}{ ~~ \frac{-1+sin(x)}{sin(x)} ~~ } \\\\\\\ [1-sin(x)][1+sin(x)]\cdot \cfrac{sin(x)}{-1+sin(x)} \\\\\\\ [1-sin(x)][1+sin(x)]\cdot \cfrac{sin(x)}{-[1-sin(x)]} \\\\\\\ [1+sin(x)][-sin(x)] \implies \boxed{-sin(x)-sin^2(x)} \\\\[-0.35em] ~\dotfill\)

\(csc(-x)-1\implies \cfrac{1}{sin(-x)}-1\implies \cfrac{1}{-sin(x)}-1\implies \boxed{\cfrac{-1-sin(x)}{sin(x)}}\)

now, as you can see is a no dice, before doing many simplifications, I often check them graphically, so I know what's cooking, anyhow, Check the picture below, they are definitely not the same, the red one is the one on the right-hand-side.

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer: I and m none of these I and n skew m and n perpendicular

Step-by-step explanation:

Answer:Null hypothesis:  

Alternative hypothesis:  

The p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .  

and the accuracy of the test yes is acceptable since the p value obtained is large enough to fail to reject the null hypothesis

Step-by-step explanation:

Data given and notation n  

n=367 represent the random sample taken

X=32 represent the orders that were not accurate

estimated proportion of orders that were not accurate

is the value that we want to test

represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

Alternative hypothesis:  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

(1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

Statistical decision  

It's important to refresh the p value method or p value approach . "This methos is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided . The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

So the p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .  

The equivalent expressions to the given expression -2.7 + (-3.1) are:

So, the expression: -2.7 + (-3.1)

Then, the expressions equivalent to this expressions are:

Therefore, the equivalent expressions to the given expression -2.7 + (-3.1) are:

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Answer:

A theorem that explains the shape of a sampling distribution of sample means. It states that if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.

Step-by-step explanation:

google

can I have brainliest

Answer:

Step-by-step explanation:

Anything raised to zero  = 1

\(a^{0} = 1\\\\a^{m}*a^{n} =a^{m+n}\\\\\dfrac{a^{m}}{a^{n}}=a^{m- n}\\\)

In exponent multiplication, if base are same, just add the powers.

In exponent division, if bases are same, subtract the powers.

\((a^{m})^{n} =a^{m*n}\)

\((3^{-2}* 4^{-5}*5^{0})^{-3} * \left(\dfrac{4^{-4}}{3^{3}} \right)^{3}*3^{3} \\\\\\= (3^{-2}* 4^{-5}*1)^{-3} * \left(\dfrac{4^{-4}}{3^{3}} \right)^{3}*3^{3}\\\\\\= 3^{-2*(-3)} *4^{-5*(-3)} * \dfrac{4^{-4*3}}{3^{3*3}}*3^{3}\\\\\\=3^{6}*4^{15}*\dfrac{4^{-12}}{3^{9}}*3^{3}\\\\\\= 3^{6+3-9}* 4^{15+(-12)}\\\\=3^{0}*4^{3}\\\\=1*4^{3}\\\\=4^{3}\)

Answer:

8yd×10yd=80yd

80yd÷2=40yd²

Step-by-step explanation:

Hope it helps :)

Answer:

See below

Step-by-step explanation:

Grade is slope =  rise / run

a) horizontal distance 1400 ft  (run)     vertical distance = 40 ft  (rise)

        40 / 1400 = 2.85%

b)   rise / run  =    805.58 / 13780 = 5.84%

The preparation of an accrual basis income statement for Zambrano Wholesale Corporation for the year ended December 31, 2021, is as follows:

Zambrano Wholesale Corporation

For the year ended December 31, 2021

Sales Revenue       $705,000

Cost of goods sold  408,000

Gross profit            $297,000

Interest Revenue         4,000

Total income         $301,000

Insurance Expense  $6,500

Interest Expense        1,000

Rent Expenses        23,000

Salary Expenses    214,000

Total Expenses   $244,500

Net income           $56,500

Using an accrual basis,  the income statement summarizes the revenue and expenses of the relevant period, whether they involve cash transactions.

The accrual basis ensures that all revenues and expenses relating to the financial period are recognized.

1. Interest Receivable $3,000 ($3,000 + $50,000 x 8% - $4,000) Cash $4,000 Interest Receivable $3,000 Interest Revenue $4,000

2. Insurance Expense $6,500 Prepaid Insurance $6,500 ($2,500 + $6,000 x 8/12)

3. Interest Expense $1,000 ($100,000 x 6% x 2/12) Interest Payable $1,000

4. Rent Expenses $23,000 Prepaid Rent $23,000 ($11,000 + $24,000 - $12,000)

Salary Expenses = $214,000 ($210,000 + 24,000 - 20,000)

Sales Revenue = (Receipts from customers + Ending balance - Beginning balance)

= $705,000 ($675,000 + 92,000 - 62,000)

Cost of goods sold = Beginning inventory + purchases - Ending inventory)

= $408,000 ($80,000 + 390,000 - 62,000)

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From customers $675,000

Interest on note 4,000

Loan from a local bank 100,000

Total cash receipts $779,000

Purchase of merchandise $390,000

Annual insurance payment 6,000

Payment of salaries 210,000

Dividends paid to shareholders 10,000

Annual rent payment 24,000

Total cash disbursements =$640,000

Cash- $25,000   $164000

Accounts Receivable- $62,000 92,000

Inventory- $80,000 62,000

Prepaid insurance $2,500 $6,000

Prepaid rent $11,000  $2,000

Interest receivable $3,000 $3,000

Notes receivable $100,000 50,000

Equipment $100,000 100,000

Accumulated depreciation (40,000)  (50,000)

Accounts payable (for merchandise) $110,000 122,000

Salaries payable $20,000 24,000

Notes payable $0  $100,000

Interest payable $0 $1,000

Answer:

so 238 rounded up is 240

244 rounded up is 240

295 rounded up is 300 so you can just do the rest

Step-by-step explanation:

A two-sample z-test for a difference in population proportions is the appropriate method for analyzing the results.

Z-test is a statistical test often utilizes to find the difference in mean. It is coupled with variances and sample size to find the appropriate results. It is a hypothetical test where normal distribution is seen.

z-test holds numerous advantages such as it indicates difference in small size groups making it more usable. Moreover, it is also reliable in non-normal distribution of data and is efficient while taking multiple groups in a single analysis. The question has two different popular proportion and hence the two sample z-test will suitable to compare the means.

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Answer:

ms. sempe is right.

.

first we'll find area of trapezium.

area of trapezium = 1/2×height×(sum of parellel sides of the trapezium)

area of trapezium =1/2×4×(13+24)

area of trapezium =1/2×4×37

area pf trapezium = 74in²

now area of rectangle.

area of rectangle = length ×width

area of rectangle= 24in×7in

area of rectangle =168 in²

area of the figure= 74in²+168in²

area of figure=242in²

The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.

Let's assume the length of the rectangle is 'l' and the width is 'w'.

From the given data, we know that each gate is 4 m wide.

Therefore, the width of the rectangle is:

Width = w + (4 m + 4 m) = w + 8 m

The perimeter of the rectangle is:

P = 2l + 2(w + 8 m) = 2l + 2w + 16 m

Now, we need to subtract the combined length of the two gates from the perimeter:

P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m

So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

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Answer: 8/11

Step-by-step explanation:

To find slope you can use this formula:

y2-y1/x2-x1

substitute the values with the ones from the 2 points

-13-(-5)= -8

-19-(-8)=-11

you then divide -8/-11

and you get 8/11

8/11 is the slope of those 2 points.

Answer:

b,d,c

Step-by-step explanation:

y = 1 4 x calculates the number of eggs, y, for x crepes. The constant of proportionality is 1 4 . Ella needs 15 eggs to make 60 crepes. y = kx, where k is the constant of proportionality → y = 5 eggs 20 crepes x → y = 1 4 x; thus, k = 1 4 y = 1 4 (60) = 15 eggs

For 60 creps, 15 eggs will be needed.

Given is that the number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served

Now, for 20 creps, 5 eggs are needed.

Then for 1 crep, (5/20) eggs are needed.

For 60 creps, (5/20) x 60 = 15 eggs will be needed.

Therefore, For 60 creps, 15 eggs will be needed.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

15

Step-by-step explanatio

A. The displacement is the change in position, which is given by the change in the height, so:

i. [1,2] = -5.46 m/s

ii. [1,1.1) = -1.39 m/s

iii. [1,1.01) = -0.138 m/s

iv. [1,1.001) = -0.0138 m/s

(a) To find the average velocity over a time interval, we need to calculate the displacement during that time interval and divide it by the length of the interval. The displacement is the change in position, which is given by the change in the height, so:

i. [1,2]: Δs = y(2) - y(1) = [20(2) - 1.87(2)²] - [20(1) - 1.87(1)²] ≈ -5.46

Average velocity = Δs / Δt = -5.46 / (2 - 1) = -5.46 m/s

ii. [1,1.1): Δs = y(1.1) - y(1) = [20(1.1) - 1.87(1.1)²] - [20(1) - 1.87(1)²] ≈ -1.39

Average velocity = Δs / Δt = -1.39 / (1.1 - 1) = -1.39 m/s

iii. [1,1.01): Δs = y(1.01) - y(1) = [20(1.01) - 1.87(1.01)²] - [20(1) - 1.87(1)²] ≈ -0.138

Average velocity = Δs / Δt = -0.138 / (1.01 - 1) = -0.138 m/s

iv. [1,1.001): Δs = y(1.001) - y(1) = [20(1.001) - 1.87(1.001)²] - [20(1) - 1.87(1)²] ≈ -0.0138

Average velocity = Δs / Δt = -0.0138 / (1.001 - 1) = -0.0138 m/s

(b) The instantaneous velocity at t=1 is given by the derivative of the height function with respect to time, which is:

dy/dt = 20 - 3.74t

So the instantaneous velocity at t=1 is:

dy/dt(1) = 20 - 3.74(1) = 16.26 m/s (approximately)

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it is the chances of something to happen

Hey there!

Basically what it is meant by the probability it’s like the area of something can most likely be probable

E.g. “expectation” which it simply is the particular altitude you were/are given

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

0.40

Step-by-step explanation:

Out of the 64, 63% are male. So 63/100 * 64 = 40.32 are male cats.

Answer:

It should be 49

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

To find the median, we find the middle of the data set.

7, 9, 11, 14, 18, 20, 30, 35

There are 8 values

7, 9, 11,    14, 18,     20, 30, 35

The median is between the 4th and 5th numbers

We need to find the mean of the middle two numbers

(14+18)/2 =32/2= 16

Answer:

16

Step-by-step explanation:

             \(\sf (\frac{n+1}{2}\:)^ t^h \:data\)

       Here,

             n ⇒ number of terms

Let us find it now.

7, 9, 11, 14, 18, 20, 30, 35

\(\sf Median=\sf (\frac{n+1}{2}\:)^ t^h \:data\\\\\sf Median=\sf (\frac{8+1}{2}\:)^ t^h \:data\\\\\sf Median=\sf 4.5^ t^h \:data\)

In this case, add 4th and 5th data and divide it by 2.

\(\sf Median = \frac{14+18}{2}\\\\ \sf Median = \frac{32}{2}\\\\\sf Median = 16\)