Determine whether the sequence is geometric. If so, find the common ratio. 3.0, 6.0, 12.0, 24.0

Answer:

100 boxes i think :))

Step-by-step explanation:

Answer:

Students per teacher 152:8

128 students

Step-by-step explanation:

Answer:

The answer would be 8.1

Step-by-step explanation:

For the smaller triangle, you use the pythagorean theorem. a squared + b squared = c squared.

To find one of the legs, you do 5 squared - 3 squared = b squared.

25 - 9 = b squared. (BD)

16 = b squared

4 = b

Now for the bigger right triangle. You still use the same tactic.

7 squared + 4 squared = c squared (which is AB)

49 + 16 = c squared

65 = c squared

That means c would equal: square root of 65, which is 8.0622577483 which rounds to 8.1

Answer: 20 log (2)

Step-by-step explanation:

Answer: Logarithms are mathematical functions that are used to represent the relationship between two quantities that are related by a power law. For example, if we have an exponential equation like 2^x = 8, we can use logarithms to solve for x: log2 8 = x.

In general, logarithms are written in the form logb a, where b is the base of the logarithm and a is the number we want to take the logarithm of. There are several different bases in that logarithms can be written in, including the common logarithm (base 10) and the natural logarithm (base e).

To evaluate a logarithm, we need to use the logarithmic properties and the change of base formula. One important property of logarithms is that logb (xy) = logb x + logb y. Another property is that logb (x/y) = logb x - logb y.

The change of base formula is used when we need to evaluate a logarithm in a different base than the one given. The formula is:

logb a = logc a / logc b

where c is any base other than b or a. By using this formula, we can convert a logarithm from one base to another in order to evaluate it using a calculator.

In the case of log4 25, we can use the common logarithm (base 10) or the natural logarithm (base e) to evaluate the logarithm. Using the change of base formula with the common logarithm, we have:

log4 25 = log(25) / log(4)

Using a calculator, we find that log(25) ≈ 1.39794 and log(4) ≈ 0.60206, so:

log4 25 ≈ 1.39794 / 0.60206

Simplifying this expression, we get:

log4 25 ≈ 2.32193

Rounding to the nearest thousandth, we get:

log4 25 ≈ 2.322

So, the value of log4 25 to the nearest thousandth is 2.322.

Step-by-step explanation:

Answer: 584 yds

Step-by-step explanation:

3mi-3mi=0

1622-1038=584yds

Answer:

$28

Step-by-step explanation:

The rate the jeans are reduced is $7 every week, if this continues for 4 weeks the total price of reduction for the jeans can be calculated by doing $7 x 4= $28.

Given:

Required:

Divide the expression.

Explanation:

The given expression is:

Cancel out the same terms from the numerator and denominator.

Final Answer:

Thus the simplification of the given expression is

The range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.

The range of function g depends on the range of the function f.

Let's start by assuming that we know the range of f.

If the range of f is Rf, then the range of -2f is the set {-2y | y ∈ Rf}, which is just the set of all numbers that can be obtained by multiplying an element of Rf by -2.

Finally, we add 1 to each of these values to get the range of g. Therefore, the range of g is:

Rg = {1 - 2y | y ∈ Rf}

In other words, the range of g is obtained by taking the range of f, multiplying each element by -2, and adding 1 to each result.

If we don't know the range of f, we can still say something about the range of g. Specifically, we know that g(x) can never be greater than 1 (since the largest value that -2f(x) can take is 0, and adding 1 to 0 gives us 1), and g(x) can never be less than 1 - 2M, where M is the largest possible value that f(x) can take on. In other words, the range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.

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The function values;

Given,

The function; f(x) = 9 × 4ˣ

The value of the function is f(x). The slope of the line is m. b is either the function's value at x=0 or the position at which the line in the coordinate plane crosses the y-axis. x is the x-value. coordinate's

Four main categories can be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element.

We have to find the following function values;

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Answer:

$100.98

Step-by-step explanation:

102*0.99 = 100.98

Answer:

$100.98 (if there is no tax)

Step-by-step explanation:

Since the cost of one is $0.99, you find 102 by multiplying 0.99 * 102

  1  0 2

x0 .9 9

100.98

The ratio of the length of the model to the actual length of the van in simplest form will be equal to 3 : 56.

We are given that the scale model of the van = 4 1/5 feet

This can also be written as:

Scale model of van = 6 / 5 feet

We are also given that:

The actual van = 22 2/5 feet

which can also be written as:

Actual van = 112 / 5 feet

The ratio of the length of the model to the actual length of the van in

simplest form will be:

6 / 5 : 112 : 5

= 6 : 112

= 3 : 56

Therefore, the ratio of the length of the model to the actual length of the van in simplest form will be equal to 3 : 56.

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Answer:

Step-by-step explanation:

Infinite solution

Answer: maybe a

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

\(\frac{4}{12} =\frac{6}{x} \\\)

\(\frac{4}{12}\) ÷ \(\frac{2}{2}\) = \(\frac{2}{6}\) = \(\frac{6}{x}\)

\(\frac{2}{6} = \frac{6}{x}\)  

2×3 =6

6×3=18

x=18

Given:

Total packets taken = 5

Strips made=

Now using unitary method, we have:

It takes 5 packets to make

It will take 1 packet to make

Therefore, the strips made from 1 packet will be 90 1/2.

Answer:

You are absolutely correct on all 3

#4 ==>  27y³ + 18y² factored is 9y²(3y - 2)

Step-by-step explanation:

The multiplication 3/4×8/9 can be used to address the problem in response (B). which is the correct answer that would be an option (B).

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

As per option (B),

Jada rode her bike for 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike.

Sarah rides her bike = Sarah rode (8/9) of the (3/4) that Jada rode.

Sarah rides her bike = 3/4 × 8/9

Therefore, this problem can be solved by performing the above multiplication.

Hence, the correct answer would be an option (B).

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The vertex is (-4,-3)

The axis of symmetry is x=-4

and the transformations are:

Answer:

-26

Step-by-step explanation:

1) substitute 4 into the equation and you get (-8*4) + 6

2) (-32) + 6 = -26

The value of N(4) is -26.

To understand more, check below explanation.

The given function is,

                        N(y) = -8y + 6

We have to find N(4).

Substitute N = 4 in given equation.

            N(4) = -8(4) + 6

            N(4)=-32 + 6

             N(4)=-26

Hence, the value of N(4) is -26.

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Answer:

The correct answer is A.

Step-by-step explanation:

1/5*-10/1=-10/5= -2

2/3*3/1=6/3=      2

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

                          0.

Answer:

a –10 times the first equation and 3 times the second equation

Step-by-step explanation:

Answer:

x=1 , -9/4

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

1/4 of class don't play basketball but do play volleyball

so 9/28 of class play both since 4/7 - 1/4 = 9/28

9/28 of class = 27

1/28 of class = 3

class = 3*28

There are 84 girls in the class.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Girls who plays basketball = (3/4)x

Girls who plays volleyball = (4/7)x

Girls who plays both games = 27

Now, Let us consider total girls in the class = x

So we can write it as mathematical equation as;

⇒ (3/4)x +(4/7)x - 27 = x

By taking L.C.M. -

⇒ (21x+16x)/28 - (27) = x

⇒ 37x/28 = x + 27

⇒ 37x = 28x + (27×28)

⇒ 9x = 27×28

⇒ x = (27×28)/9

⇒ x = 3×28

⇒ x = 84

So, There are total 84 girls in the class.

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The side x of the triangular base prism is 0.4 centimetres.

The diagram above is a triangular prism. The triangular base of the prism is a right triangle. Therefore, the unknown side x can be found using Pythagoras's theorem,

c²= a² + b²

where

Therefore,

x² = 0.5² - 0.3²

x² = 0.25 - 0.09

x = √0.16

x = 0.4 cm

Therefore,

x = 0.4 centimetres.

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Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.

These questions typically ask about a population or group of individuals and are often related to trends or patterns.

Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.

To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.

This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.

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The sample of given data is Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10

b)Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10

(a) An example of data with SS(between) = 0 and SS(within) > 0 could be the following:

Sample 1: 1, 2, 3, 4, 5

Sample 2: 6, 7, 8, 9, 10

Sample 3: 11, 12, 13, 14, 15

In this example, the means of each sample are all different from each other, but the grand mean (8) is equal to the mean of each sample. Therefore, there is no variability between the means of the samples, resulting in SS(between) = 0. However, there is still variability within each sample, resulting in SS(within) > 0.

(b) An example of data with SS(between) > 0 and SS(within) = 0 could be the following:

Sample 1: 1, 2, 3, 4, 5

Sample 2: 6, 7, 8, 9, 10

Sample 3: 11, 12, 13, 14, 15

In this example, the means of each sample are all the same (8), but the values within each sample are all different from each other. Therefore, there is variability between the means of the samples, resulting in SS(between) > 0. However, there is no variability within each sample, resulting in SS(within) = 0.

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Answer:

From your selections of answers, It's B: 12 x^3 - 21 b^5, but it's not completely simplified.

Step-by-step explanation:

Simplify the following:

3 (3 x^3 - 7 b^5) + 3 x^3

3 (3 x^3 - 7 b^5) = 9 x^3 - 21 b^5:

3 x^3 + (9 x^3 - 21 b^5)

Grouping like terms, 9 x^3 + 3 x^3 - 21 b^5 = (3 x^3 + 9 x^3) - 21 b^5:

(3 x^3 + 9 x^3) - 21 b^5

3 x^3 + 9 x^3 = 12 x^3:

12 x^3 - 21 b^5

Factor 3 out of 12 x^3 - 21 b^5:

Answer:  (3 (4 x^3 - 7 b^5)) = 12 x^3 - 21 b^5

Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:

y = (9/7)x + 25/7.

Step-by-step explanation:Step 1: Find the midpoint of the line segment.

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:

Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)

Midpoint = (-4 / 2, 2 / 2)

Midpoint = (-2, 1)

So, the midpoint of the line segment is (-2, 1).

Step 2: Write the equation of the line using the slope-intercept form.

The slope-intercept form of a line is given by:

y = mx + b

where m is the slope and b is the y-intercept.

Given the slope as 9/7, we have:

y = (9/7)x + b

Step 3: Substitute the coordinates of the midpoint to find the value of b.

Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:

1 = (9/7)(-2) + b

1 = -18/7 + b

To find the value of b, we can solve this equation:

1 + 18/7 = b

25/7 = b

Step 4: Write the final equation of the line.

Using the value of b, the equation becomes:

y = (9/7)x + 25/7

Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

Answer:

500

Step-by-step explanation: