What is the pattern in the numbers 1,8,27,64

Answer: A,C,D

Step-by-step explanation:

Answer:

bank account and electricity

Step-by-step explanation:i tried the other one and it was all incorrect

Answer:

The temperature increased 4 degrees

Step-by-step explanation:

-7 - -11

-7 + 11

4

Answer:

27 mg

Step-by-step explanation:

divide 180 by 20 to get 9

then multiply 9 by 3

you should get 27mg

A. The conditional probability that a dog owner also owns a cat is approximately 0.344.

B. The conditional probability that a cat owner also owns a dog is approximately 0.346.

A. P(D) = 0.61 (61% own a dog)

P(C) = 0.29 (29% own a cat)

P(D ∩ C) = 0.21 (21% own both a cat and a dog)

The conditional probability P(C|D) represents the probability of owning a cat given that you own a dog. We can calculate it using the formula:

P(C|D) = P(D ∩ C) / P(D)

Plugging in the values we have:

P(C|D) = 0.21 / 0.61

≈ 0.344 (approximately)

B. To find the conditional probability that a cat owner also owns a dog, we use a similar approach. Let's denote D as the event of owning a dog and C as the event of owning a cat. We are given the following information:

P(D) = 0.43 (43% own a dog)

P(C) = 0.26 (26% own a cat)

P(D ∩ C) = 0.09 (9% own both a cat and a dog)

The conditional probability P(D|C) represents the probability of owning a dog given that you own a cat. We can calculate it using the formula:

P(D|C) = P(D ∩ C) / P(C)

Plugging in the values we have:

P(D|C) = 0.09 / 0.26

= 0.346

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The standard deviation of the sample is approximately 9.15

To find the standard deviation of the sample, we first need to calculate the sample mean. The sample mean is the sum of all the data points divided by the total number of data points. In this case, we are given the frequency distribution of the costs per load of 34 dish-washing detergents.

To calculate the sample mean, we multiply each class midpoint by its corresponding frequency, sum up these products, and divide by the total number of data points (34 in this case).

The class midpoint for each class interval can be calculated by adding the lower class limit to the upper class limit and dividing by 2. For example, the class midpoint for the interval 20-28 is (20 + 28) / 2 = 24.

Using this information, we can calculate the sample mean:

(24 * 13 + 33 * 15 + 42 * 4 + 51 * 2) / 34 = 32.44

Next, we need to calculate the squared deviation of each data point from the sample mean. The squared deviation is obtained by subtracting the sample mean from each data point and squaring the result.

For each class interval, we can calculate the squared deviation by subtracting the class midpoint from the sample mean, squaring the result, and multiplying by the frequency.

The sum of these squared deviations is then divided by the total number of data points minus 1 (n-1) to obtain the variance.

Using the given data, the variance is calculated as follows:

((24 - 32.44)^2 * 13 + (33 - 32.44)^2 * 15 + (42 - 32.44)^2 * 4 + (51 - 32.44)^2 * 2) / (34 - 1) = 83.6

Finally, to find the standard deviation, we take the square root of the variance:

√(83.6) ≈ 9.15

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The concept of exponential growth function is discussed below.

An exponential function is of the form -

y = A(B)ˣ

Given is to explain exponential growth.

Exponential growth of a quantity happens if the rate of instantaneous change is directly proportional to the quantity itself. The general exponential function is -

y = A(B)ˣ

More specifically -

\($f(x)=a(1+r)^{x}\)

where -

f(x) = exponential growth function

{a} = initial amount

{r} = growth rate

{x} = number of time intervals

Therefore, the concept of exponential growth function is discussed above.

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{Question in english -

What is exponential growth?}

Answer:

the answer to your eqauation is 531,441

Step-by-step explanation:

3^5 x 3^7

243 x 2,187

=531,441

Hope this helped!! :)

The exact value of the given trigonometric function cot(π/3) is √3/3.

The cotangent (cot) of an angle is defined as the ratio of the adjacent side to the opposite side of a right triangle.

Here, given that an angle of π/3, which is not a right angle.

So, we need to use the trigonometric identities to find the value of cot(π/3).

cot(θ) = 1/tan(θ)

where θ is an angle in radians.

We know that the tangent of π/3 is √3, as this is the opposite side (which is the same as the sine) divided by the adjacent side (which is the same as the cosine) of a 30-60-90 right triangle.

So, cot(π/3) can be expressed as:

cot(π/3) = 1/tan(π/3)

= 1/√3

Multiplying the numerator and denominator by √3/√3, we get:

cot(π/3) = √3/3

Therefore, the exact value of cot(π/3) is √3/3.

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The biscuits should be placed 2.54 centimeters apart on the baking tray.

The unitary method is a way for solving a problem by the first value of a single unit and than finding the value by multiplying the single unit. Unitary method is a technique by which we can find the value of a single value from the value of more than one devices and the value of more than one unit from the value of a single unit. We can this method use for most of the calculations in math.

We are given that;

Elana must roll the dough into 7 inch rounds.

a) To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, 7 inches is equal to:

7 inches x 2.54 centimeters/inch = 17.78 centimeters

So, Elana must roll the dough into 17.78 centimeter rounds.

b) To rewrite all the ingredients using grams or milliliters, we need to know the density of each ingredient. Assuming that the density of each ingredient is the same as that of all-purpose flour (which is approximately 125 grams per cup), we can convert the measurements as follows:

1 cup flour = 125 grams flour

1/2 cup sugar = 100 grams sugar

2 teaspoons baking powder = 10 grams baking powder

1 teaspoon salt = 5 grams salt

1/2 cup cream = 120 milliliters cream (assuming a density of 1 gram per milliliter)

So, the rewritten ingredients are:

125 grams flour

100 grams sugar

10 grams baking powder

5 grams salt

120 milliliters cream

c) The recipe states that the oven should be preheated to 350 °F. To convert this temperature to Celsius, we can use the formula:

Celsius = (Fahrenheit - 32) x 5/9

So, the temperature in Celsius is:

Celsius = (350 - 32) x 5/9 = 176.67 °C

Therefore, Elana should heat the oven to 176.67 °C.

d) The recipe states that the biscuits should be placed on the baking tray 1 inch apart. To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, the biscuits should be placed on the baking tray:

1 inch x 2.54 centimeters/inch = 2.54 centimeters

Therefore, by unitary method answer will be 2.54 centimeters.

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Answer:

\(-18p^{5} -30p^{4} +6p^{3}\)

Step-by-step explanation:

\((-6p^{3} )(3p^2+5p-1)\)

\((-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)\)

\(-18p^{5} -30p^{4} +6p^{3}\)

hope this helps.....

Answer:

(- 12, 10 )

Step-by-step explanation:

2x + 4y = 16 → (1)

- 2x - 3y = - 6 → (2)

add (1) and (2) term by term to eliminate x

0 + y = 10

y = 10

substitute y = 10 into (1) and solve for x

2x + 4(10) = 16

2x + 40 = 16 ( subtract 40 from both sides )

2x = - 24 ( divide both sides by 2 )

x = - 12

solution is (- 12, 10 )

Answer:

(- 12, 10 )

Step-by-step explanation:

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Solution

Step 1:

The magnitude of a vector is the length of the vector itself.

Given a bi-dimensional vector, the magnitude of the vector is given by:

Step 2:

where

Vx is the x-component of the vector

Vy is the y-component of the vector

Step 3:

The vector in the problem is ( 7 , -5 )

Where

Step 4:

Final answer

Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.

Given,

Comparing the following using <, > or = ,

Numbers:

√17 and 29/7

For √17

Simplifying,

√17 = 4.123

For 29/7

29/7 = 4.14

√17 < 29/7

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a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,

Scholarships, Grants and Student loans.

b. Total estimated expenses are $29,400

(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.

Expense:

Books and supplies: $1700

Housing and food: $14,020

Tuition and fees: $11,660

Transportation: $2040

Personal expenses: $2980

Funding:

Savings: $7800

Scholarships: $10,240

Grants: $11,600

Student loans: $6200

(b) What is the total of her estimated expenses?

To find the total estimated expenses, we need to add up all the expenses mentioned:

$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400

Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.

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The taxi ride was 7 miles

Mia took a taxi from her house to the airport

The taxi charged a pick up fee of $1.30

They also charged $4.25 per mile

The total fare was $31.05

The number of miles can be calculated as follows

31.05 - 1.30 = 4.25x

29.75= 4.25x

Divide both sides by the coefficient of x which is 4.25

29.75/4.25= 4.25x/4.25

x= 7

Hence the taxi ride was 7 miles

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the solution is: \(w < -5\) . Since all real numbers are either less than or greater than  \(-5\) , the solution set for this inequality is "All reals".

To solve for w in  \(w + 19 < 14\)  , we need to isolate w on one side of the inequality.

This means that any value of w that is less than   \(-5\) would make the inequality true.

For example,    \(w = -6\) is a solution because   \(-6 + 19 < 14.\) Likewise, any value of w that is greater than or equal to -5 would make the inequality false. For example,   \(w = -5\) is not a solution because  \(-5 + 19 = 14\)  .

Subtracting 19 from both sides of the inequality, we get:

\(w + 19 - 19 < 14 - 19\)

\(w < -5\)

Therefore, the solution is:  \(w < -5\) . Since all real numbers are either less than or greater than   \(-5\) , the solution set for this inequality is "All reals".

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Answer:

\(4(x+7)=3\)

Step-by-step explanation:

Since the sum is being multiplied 4 different times, it's best to write the equation of the sum and the number 4 being in the outside. and since it's saying it equals 3, just add the equal sign

Hope this helps!

- doomdabomb

If I am to to construct a Pareto chart based on the rule of the chart, the second bar color in the graph be labeled light blue.

A Pareto chart is known to be a form of  a bar graph.

It is made up of different lengths of bars that stands for frequency or cost ( e.g. time or money, and are said to be placed with longest bars on the left and then the shortest are placed to the right.

Since there are 27 light blue cars and this is the first one among the shortest, one can make it to be in the second bar and as such, If I am to to construct a Pareto chart based on the rule of the chart, the second bar color in the graph be labeled light blue.

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Using Distributive property, The difference between 6²/3 of ¹/20 and ¹/3 is 2/3.

The distributive property is the theory applied in this query. According to the distributive property, a number can be divided to each addend or subtractor in a total or difference of two numbers when it is multiplied by those sums or differences. In this case, the expression was made simpler by doing this. 6²/3 of ¹/20.

The steps for find the difference between 6²/3 of ¹/20 and ¹/3 are as follows

Step 1: 6²/3 of ¹/20 can be simplified to ½.

Step 2: Subtract ½ from ¹/3 to get the difference.

Step 3: ¹/3 - ½ = 2/3.

Therefore, the difference between 6²/3 of ¹/20 and ¹/3 is 2/3.

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Answer:

Step-by-step explanation:

The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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Answer:

A, B, and E.

Step-by-step explanation:

We know that one vertex is at (5, 4), and each side of our square is 3 units long.

Then the distance between the known vertex and another vertex is 3 units (if those vertexes are connected by a side of the square) or (√2)*3  units (if those vertexes are connected by the diagonal of the square).

Also remember that the distance between two points (a, b) and (b, c) is:

distance = √(  (a - c)^2 + (b - d)^2)

So we need to find the distance between our point and all the ones given in the options:

A) the distance between (5, 4) and (5, 1) is:

distance = √( (5 - 5)^2 + (4 - 1)^2) = 3

Then point (5, 1) can be a vertex.

B) The distance between (5, 4) and (5, 7) is:

distance = √( (5 - 5)^2 + (4 - 7)^2) = 3

Then (5, 7) can be a vertex.

C)  The distance between (5, 4) and (7, 8) is:

distance = √( (5 - 7)^2 + (4 - 8)^2) = √( 2^2 + 4^2) = √20

Point (7, 8) can not be a vertex.

D)  The distance between (5, 4) and (2, 6) is:

distance = √( (5 - 2)^2 + (4 - 6)^2) = √( 3^2 + 2^2) = √13

Point (2, 6) can not be a vertex.

E) The distance between (5, 4) and (2, 1) is:

distance = √( (5 - 2)^2 + (4 - 1)^2) = √( 3^2 + 3^2) = √18 = √(2*9) = √2*√9 = √2*3

Then point (2, 1) can be a vertex.

Answer:

A

Step-by-step explanation:

Inflation decreases the amount of goods and services that can be purchased with a dollar.

Answer:

all correct except A.

Step-by-step explanation:

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Answer:

A) 58

Step-by-step explanation:

Mean = Sum of all the data ÷  total number of data

         \(=\frac{52+70+88+15+65}{5}\\\\\\=\frac{290}{5}\\\\\\= 58\)

The volume of aggregate that she needs to build the patio is 13.18 ft^3

We know that the backyard is 14ft long, 6 feet wide and 4 inches deep.

Rememeber that:

1ft = 12 in

Then:

4 in = (4/12) ft = (1/3) ft

Then the volume of the backyard is:

V = (14ft)*(6ft)*(1/3 ft) = 28ft^3

Now we know that we have a mix of 4 parts aggregate to 4.5 parts loose cement that need to fill these 28 cubic feet.

Note that:

4 + 4.5 = 8.5

How many times we have 8.5 in 28?

28/8.5 = 3.294

Now for each of these we have 4 parts of aggregate, then the volume of aggregate that we need is:

4*3.294 ft^3 = 13.18 ft^3

The volume of aggregate that she needs to build the patio is 13.18 ft^3

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