When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression?

A. -4.4
B. 1.2x - 2.4 + 1.2x - 2
C. 2.4x - 0.4
D. 2.4x - 4.4

We are using ln more than log because, we compare all log with different base value with ln.

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

As mentioned above, we use natural logs (i.e., logarithms in base e) because coefficients on the natural-log scale may be directly interpreted as roughly proportionate differences: for example, with a coefficient of 0.06, a change of 1 in x corresponds to a roughly 6% change in y, and so on.

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The firs 5 is the husband thousand place so the value

The maximum distance we can ride with $93.65 is 48 miles. For maximum distance, we can subtract the initial cost of $2 and divide the remaining amount by the additional cost per mile.

To find the maximum distance we can ride with $93.65, we need to determine the number of additional miles we can afford after paying the initial $2 for the first mile.Let's assume the maximum distance we can ride is x miles (including the first mile). The cost for x miles would be:

$2 + $1.95 * (x - 1)

We want this cost to be equal to or less than $93.65, so we can set up the following inequality:

2 + 1.95 * (x - 1) ≤ 93.65

Simplifying the inequality:

1.95x - 1.95 + 2 ≤ 93.65

1.95x + 0.05 ≤ 93.65

1.95x ≤ 93.6

x ≤ 93.6 / 1.95

x ≤ 48

Therefore, the maximum distance we can ride is 48 miles.

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sorry wrong answer dont use this answer

The claim that the average of the box equals 20 is not plausible. This can be answered by the concept of standard deviation.

The number of draws made at random with replacement from a box is 100.The average of the draw is 22.7.The SD is 10.Someone claims that the average of the box equals 20.We know that the Central Limit Theorem (CLT) applies to the sample mean since the sample size is greater than or equal to 30.

The z-score can be calculated as follows: z = (X - μ) / (σ/√n)Here, X = Sample Mean = 22.7μ = Population Meanσ = Standard Deviation of Population n = Sample size = 100Now, z = (22.7 - 20) / (10/√100)= 2.7 / 1 = 2.7A z-score of 2.7 means that the sample mean is 2.7 standard deviations above the population mean. Since the z-score is significantly greater than 1.96 (z-score at 5% level of significance), the claim that the average of the box equals 20 is not plausible.

Therefore, we can conclude that the claim that the average of the box equals 20 is not plausible.

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Answer:

\(\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = \\ = \sqrt{9 \times 2} + \sqrt{16 \times 2} - 3 \sqrt{4 \times 2} \\ =3 \sqrt{2} + 4 \sqrt{2} - 3 \times 2 \sqrt{2} \\ = 3 + 4 - 6 \sqrt{2} \\ = 7 - 6 \sqrt{2} \\ = 1 \sqrt{2} \)

Semoga membantu

Answer:

\(\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = 1 \sqrt{2} \)

Answer:

The cost of the chocolate bar is $0.54. You can calculate this by subtracting the total cost of the peanut butter bars ($3.50) from the total cost of the 5 peanut butter bars and 6 chocolate bars ($6.40), resulting in $2.90 for the cost of the chocolate bars, which is then divided by 6 to get $0.54.

Answer:

A and C

Step-by-step explanation:

ive seen this question before

Answer:

EH = 9.4

Step-by-step explanation:

A rhombus is a quadrilateral with equal length of sides.

Given that,  EF = 13 and DF = 18

⇒ DH = HF = \(\frac{18}{2}\)

             = 9

The property that the diagonals of a rhombus are at right angle to each other.

Thus, applying the Pythagoras theorem, we have;

\(/hyp/^{2}\) = \(/adj1/^{2}\) + \(/adj2/^{2}\)

\((EF)^{2}\) = \((EH)^{2}\) + \((HF)^{2}\)

\((13)^{2}\) = \((EH)^{2}\) + \((9)^{2}\)

169 =  \((EH)^{2}\) + 81

\((EH)^{2}\) = 169 - 81

           = 88

EH = \(\sqrt{88}\)

      = 9.381

The length EH is 9.4

The equation of the line that passes through the points (36,-30) and (-12,34) is  y = - 4 / 3 x + 18.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the equation of the line  that passes through the points (36, -30) and (-12, 34).

Hence, the slope can be found as follow:

slope = y₂ - y₁ / x₂ - x₁

slope = 34 + 30 / -12 - 36

slope = 64 / -48

slope = - 8 / 6 = - 4 / 3

Therefore, let's find the y-intercept of the line using (-12, 34)

y = - 4 / 3 x + b

34 = - 4 / 3 (-12) + b

34 = 16 + b

b = 34 - 16

b = 18

Therefore, the equation is y = - 4 / 3 x + 18.

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Using Pythagorean's theorem we will see that the length is 41 ft.

We know that the flagpole is 40 feet tall. A rope is tied to the top of the flagpole and secured to the ground 9 feet from the base of the flagpole. We can think of this as a right triangle whose legs are 40ft and 9ft, and the rope is the hypotenuse.

Then we can use Pythagorean's theorem to find the length of the rope L.

L² = (40ft)² + (9ft)²

Solving this for L we will get.

L = √((40ft)² + (9ft)²)

L = 41ft

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Depending on the size and thickness of the box, a certain amount of metal is required to cast a cubical metal box.

Depending on the size and thickness of the box, a certain amount of metal is required to cast a cubical metal box. In general, more metal is required for larger, thicker boxes. One must first calculate the box's volume in order to determine how much metal is required. The box's length, width, and height can be multiplied together to get this. The thickness of the metal must next be determined. The total amount of metal required can be estimated by multiplying the volume of the box by the thickness of the metal once the volume and thickness of the metal have been established. For instance, consider a box with dimensions of 6 inches long, 6 inches wide, and 6 inches high and a metal thickness.

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The law of superposition is a fundamental principle in geology that helps determine the relative ages of rock layers. It states that in an undisturbed sequence of sedimentary rocks, the oldest rocks are found at the bottom, while the youngest rocks are found at the top.

This principle is based on the understanding that each new layer of sediment is deposited on top of previously existing layers.

By studying the order and arrangement of rock layers, geologists can infer the relative ages of the rocks and the events that occurred during their formation. The law of superposition allows them to create a timeline of Earth's geological history.

The principle of superposition is closely related to the concept of stratigraphy, which involves the study of rock layers and their characteristics. By examining the composition, fossils, and other features of the rock layers, scientists can gain insights into past environments, climate changes, and the evolution of life on Earth.

Overall, the law of superposition is a fundamental tool in geology that helps scientists unravel the history of our planet and understand the processes that have shaped it over millions of years.

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Answer:

Fundamental Counting Principle problem and determining the number of ways it can be fulfilled is described below in detail.

Step-by-step explanation:

The fundamental counting principle pronounces that if there are p approaches to do one thing and q approaches to do a different thing, then there are p×q approaches to do both actions. possible consequences of the operation. The counting principle can be stretched to circumstances where you have more than 2 alternatives.

Answer:

Cost of one shirt = $ 30

Step-by-step explanation:

Let cost of 1 shirt = s

Cost of 1 hat  = h

A shopper bought 6 shirts and 8 hats for $700.

6s + 8h = 700      -------------------(I)

A shopper bought 9 shirts and 6 hats for $660

9s + 6h = 660    -----------------(II)

Multiply equation (I) with 9 and multiply equation (II) with (-6) and then add. SO, now 's' will be eliminated and we can find the value of 'h'

(I) * 9                54s + 72h  = 6300

(II)*(-6)            -54s  - 36h = - 3960   {Now add}

                                 36h = 2340

                                     h = 2340/36

                                     h = 65

Cost of one hat  =  $ 65

Substitute h = 65 in equation (I)

6s + 8 * 65 = 700

6s  + 520   = 700

            6s = 700 - 520

            6s = 180

               s = 180/6

               s = 30

Cost of one shirt = $ 30

Answer: One shirt is $30

Step-by-step explanation: Have a great day

Answer:

- x= 10-6y+y²

Step-by-step explanation:

|x-1|=3-y

(|x-1|)²=(3-y)²

x-2x+1=9-6y+y²

-x=9-6y+y²+1

A graph of this parallelogram is shown below.

The perimeter of a parallelogram is equal to 31.8 units.

In Mathematics and Geometry, the perimeter of a parallelogram can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

For the length, we have:

Distance UX = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance UX = √[(2 + 2)² + (3 + 5)²]

Distance UX = √80

Distance UX = 8.9 units

For the width, we have:

Distance WX = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance WX = √[(2 - 9)² + (3 - 3)²]

Distance WX = √49

Distance WX = 7 units.

P = 2(UX + WX)

P = 2(8.9 + 7)

P = 31.8 units.

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Answer:

t = 4, 9

Step-by-step explanation:

Hi there!

f(t) = t² - 13t + 36

Let f(t) = 0:

0 = t² - 13t + 36

Factor the equation:

0 = t² - 4t - 9t + 36

0 = t(t - 4) - 9(t - 4)

0 = (t - 9)(t - 4)

The zero-product property states that if the product of two numbers is zero, then one of the numbers is equal to zero. Therefore, either (t - 9) or (t - 4) is equal to zero:

t - 9 = 0

t = 9

t - 4 = 0

t = 4

Therefore, the zeros of the function are 4 and 9.

I hope this helps!

The arithmetic mean for the given data is 69.5, obtained by summing the products of midpoints and frequencies and dividing by the total frequency.

To find the arithmetic mean, we need to calculate the sum of all the values in the data set and then divide it by the total number of values. In this case, we have the class frequencies and the midpoints of each class interval. To calculate the sum, we multiply each class frequency by its corresponding midpoint and then add all the values together.

For example, for the first class interval (50-54), the midpoint is 52, and the frequency is 7. So, the contribution of this interval to the sum is 52 * 7 = 364. We do the same calculation for each interval and add them up to get the total sum.

Next, we divide the total sum by the sum of all the frequencies, which in this case is 50. So, the arithmetic mean is 69.5 (total sum divided by the total number of values).

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Answer:

\($1,800\)

Answer:

10 inches/hour

Step-by-step explanation:

The tip moves clockwise in a circle of radius 10 inches.  The linear velocity is v = rω, where r is the radius and ω the angular velocity.  

This comes out to v = (10 inches)(1 revolution per hour) = 10 inches/hour

The statement that is true is:

Statements 1 and 3

Let's examine each statement individually:

If n is a multiple of 8, then n is a multiple of 4. This statement is true because every number that is divisible by 8 is also divisible by 4. Since 8 is a multiple of 4, any multiple of 8 will have factors of both 8 and 4. If n is a multiple of 18, then n is a multiple of 2.

This statement is also true. Any number that is divisible by 18 is also divisible by 2 because 18 contains a factor of 2. Every multiple of 18 will have at least one factor of 2.

Statement 2 is not true. If n is a multiple of 18, then n is a multiple of 9.

This statement is false because there are numbers that are multiples of 18 but not multiples of 9. For example, 18 itself is a multiple of 18 but not a multiple of 9, as 18 divided by 9 is equal to 2.

Therefore, the correct answer is c) Statements 1 and 3.

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The sound group gained IQ points due to the interactions with the women, regardless of their IQ was the outcome of the experiment.

What term is used to describe the idea that people try to control others think about them?

It is claimed that brainwashing impairs a person's capacity for autonomous or critical thought, permits the entry of unwelcome ideas and concepts into their heads, and alters a person's attitudes, values, and beliefs.

Why do people try to control others?

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Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Answer:

Decagon or 10

Step-by-step explanation:

Well to find the angle of B, you would have to do 180=2(18) which is 36 + x

x=180-36 x is 144 this is a decagon with ten sides due to the equation: 180(n-2)=144n where the answer is n=10

Can I have brainliest?

Answer:

it is true

Step-by-step explanation:

Given:

Find-: what does point (10,67873) represent.

Sol:

Where,

At point.

Point (10, 67873) represents after the 10-year value of the random tractor is 67873.

Check value for x = 10 year.

Answer:

A

Step-by-step explanation:

To simplify the expression you first would need to multiple each part of it by -2 in order to remove the parenthesis

If there are approximately 2,000,000 described eukaryotic species and approximately 50% are insects, then the number of described insect species is 2,000,000 * 0.5 = 1,000,000.

The Nature Conservancy identified 400 species of beetles, of which 100 had been previously described. This means that they discovered 400 - 100 = 300 new beetle species.

Assuming that the proportion of new beetle species to total insect species is the same as the proportion of described beetle species to described insect species, we can set up the following proportion:

300 / x = 100 / 1,000,000

where x is the total number of insect species.

Solving for x, we get:

x = (300 * 1,000,000) / 100

x = 3,000,000

Therefore, the 2020 data suggests that there are a total of 3,000,000 insect species.

So the answer is not among the given options.

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