Two trucks were driven on a 1,680 kilometer (km) trip. the first truck averaged 14 km per liter of fuel for the trip, and the second averaged 12 km per liter. the second truck used how many more liters of gas than the first?

The number of bottles to fill 25 pints of apple juice will be equal to 50.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The Number of the bottles = 25 / (  1 / 2 )

                                             = 25 x 2

                                             = 50

Therefore, the number of bottles to fill 25 pints of apple juice will be equal to 50.

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These are the right answers

To multiply a two-digit number by 20 using a number line, first choose a two-digit number. Each step on your number line will represent this number. Then count 20 steps on your number line from 0. The number you land on is the product. Alternatively, you can multiply the number by 2 and then move the decimal point one place to the right.

To use a number line to multiply a two-digit number by 20, follow these steps with an example:

Alternatively, as per the shortcuts mentioned, multiplying by 10 involves moving the decimal point one place to the right. Multiplying a number by 20 is thus equivalent to multiplying the number by 2 and then by 10. As an example, 15 x 20 can also be calculated as (15 x 2) x 10 = 30 x 10 = 300.

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Ordering numbers from greatest to least is known as putting them in descending order. This organization method is a form of emphatic order, which could also be the answer if the context relates to emphasizing the importance of the items being ordered rather than their numerical value.

Ordering numbers from greatest to least is called putting them in descending order. When we arrange objects based on the level of importance or magnitude, this is often referred to as emphatic order, which prioritizes items from least to most important or vice versa. In mathematics, specifically, when numbers are organized from the largest to the smallest, they are said to be in descending order, which is the opposite of ascending order, where numbers are arranged from smallest to greatest.

There are various ways in which ideas, objects, or numbers can be ordered. For example, chronological order refers to presenting events in the sequence they happened in time, whereas sequential order is similar but can apply to any sequence of actions or items, not just those related to time. Conversely, spatial order involves the arrangement of items as they are placed in space.

In the context of your question, when asked to rank objects by their distance from the origin, a descending order would start with the object that is farthest away (largest distance) and end with the object that is closest to the origin (smallest distance).

Ralph must have sold at least 9 brownies at $0.66 each to be able to buy a pack of baseball cards for $0.90 with no money left.

Ralph sold brownies for $0.66 each to earn money to buy baseball cards that cost $0.90 per pack. To find the least number of brownies Ralph must have sold, we need to determine how many brownies he needs to sell to make at least $0.90, with no money left over after the purchase.

Since Ralph has no money left over, the total amount he earned from selling brownies should be a multiple of $0.90.

To find the least number of brownies, we perform the following calculation:

Find the smallest multiple of $0.90 that is also a multiple of $0.66.

Divide that amount by the price of each brownie, which is $0.66.

By performing this calculation, we find that the least number of brownies sold would have to be a number that, when multiplied by $0.66, is both a multiple of itself and $0.90. The least common multiple (LCM) of 66 and 90 cents is $5.94, which corresponds to selling 9 brownies (because $5.94 divided by $0.66 per brownie equals 9).

Therefore, Ralph must have sold at least 9 brownies to buy a pack of baseball cards with no money left over.

Final answer:

The probability of landing on green or purple on the spinner is 3/4, or 75%.

Explanation:

To determine the probability of landing on green or purple when spinning a spinner that has 1/4 of its sections as purple, another 1/4 as orange, and the remaining two quarters green, you would simply add the probability of landing on each of those colors since they are mutually exclusive events. The probability of landing on purple is 1/4 and the probability of landing on green is 2/4 since there are two quarters of the spinner that are green.

We calculate the probability as follows:

To find the combined probability of landing on green or purple, you add the two probabilities together:

Probability of landing on green or purple = Probability of purple + Probability of green

Probability of landing on green or purple = 1/4 + 1/2

Probability of landing on green or purple = 1/4 + 2/4

Probability of landing on green or purple = 3/4

Thus, the probability of landing on green or purple is 3/4, which means there is a 75% chance of the spinner landing on either of these colors.

The correct given equation is:

v = [3 (h + 1)^2.5 + 580 h – 3] / 10 h

So to solve for the instantaneous velocity at t = 1, we must set h = 0. However we cannot do that since h is in denominator and a number divided by a denominator is infinite. Therefore we must set h to something almost zero. In this case, h = 0.0000001, so that:

at t = 1

v = [3 (0.0000001 + 1)^2.5 + 580 (0.0000001) – 3] / 10 * 0.0000001

v = 58.75 ft/s

The question is asking for the instantaneous velocity of a car at t = 1 second, which would normally be found by differentiating the position function. However, due to potential typos in the provided equation, the instantaneous velocity cannot be calculated directly.

The problem asks for the instantaneous velocity of the car at time t = 1 second. To find the instantaneous velocity, we would typically take the derivative of the position function with respect to time. However, the given equation v = 3(h+1)2.5 + 580h - 3 ave 10h appears to have some issues, possibly due to typos, and cannot be processed as is. In general, if the average velocity function over time h was given correctly, we would evaluate the derivative of that function at h = 0 to find the instantaneous velocity at t = 1 second.

We use the chain rule to find the partial derivatives ∂z/∂s and ∂z/∂t, considering z as a function of θ and ϕ, treating θ and ϕ as intermediate variables. We then differentiate θ with respect to s and t, and similarly for ϕ.

To find the partial derivatives ∂z/∂s and ∂z/∂t, we first need to make use of the chain rule in calculus. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. Here, z is a function of θ and ϕ, which are themselves functions of s and t - θ = st^5 and ϕ = s^7t.

First, find the partial derivative ∂z/∂s. We differentiate z = sin(θ)cos(ϕ) with respect to s, treating θ and ϕ as intermediates, and then differentiate θ and ϕ with respect to s.

Similarly, to find the partial derivative ∂z/∂t, we differentiate z = sin(θ)cos(ϕ) with respect to t treating θ and ϕ as intermediates, and then differentiate θ and ϕ with respect to t.

Please note that further calculation will require the exact differentiation of trigonometric functions and power functions.

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Answer:

The correct option is C

Step-by-step explanation:

From the given figure it is noticed that the coordinates of point B are (-5,-7).

If a figure is reflected across x = 1, then

[tex](x,y)\rightarrow (1-(x-1),y)[/tex]

[tex](x,y)\rightarrow (2-x,y)[/tex]

So the coordinates of B after reflection across x = 1 are

[tex](-5,-7)\rightarrow (2-(-5),-7)[/tex]

[tex](-5,-7)\rightarrow (7,-7)[/tex]

If a figure is reflected across y = -3, then

[tex](x,y)\rightarrow (x,-3-(y+3))[/tex]

[tex](x,y)\rightarrow (x,-6-y)[/tex]

So the coordinates of B after reflection across x = 1 followed by reflection across y= -3 are

[tex](7,-7)\rightarrow (7,-6-(-7))[/tex]

[tex](7,-7)\rightarrow (7,1)[/tex]

Therefore the coordinates of the reflection image of B after both reflectionsthe are (7,1) and option C is correct.

Answer:

4. g(x)=-x+9

Step-by-step explanation:

The correct answer is actually g(x)=-x+9. Just took the text. XD

Answer-

[tex]g(x)=-x+9[/tex]

Solution-

The given function is,

[tex]f(x)=x+9[/tex]

Given that g(x) is the reflection of f(x) over y-axis.

The reflection of the point (x, y) across  the y-axis is the point (-x,y).

So, in case of reflection over y-axis the sign of only x-coordinate is changed and y-coordinate remains same.

So changing the sign of x in f(x) will yield its reflection over y-axis i.e g(x)

Therefore, g(x) is,

[tex]g(x)=-x+9[/tex]

Correlation is used to show trends in a scatter plot

The following are the possible correlation types in a scatter plot

When the x value and the y values increase at the same time, then the correlation is positive.

However, when the x value and the y values increase at the same time, then the correlation is negative.

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Answer:

Sample Response/Explanation: A correlation exists in a scatterplot if there is a general trend in the outputs as inputs increase. If the outputs generally increase in value, then there is a positive correlation. If the outputs generally decrease in value, then there is a negative correlation.

Step-by-step explanation:

i did it

The sampling distributions of both sample sizes are normally distributed due to the Central Limit Theorem. The standard normal distribution can be used to calculate the probability for both sample sizes. The probability that the sample mean falls in a particular range for a given sample size can be found by calculating the z-scores for that range and looking at the area under the standard normal curve.

The subject of this question relates to the concepts of sampling distribution, normal distribution, and probability in the field of statistics. To answer this:

a. The sampling distribution of the sample means for both n = 16 and n = 36 will be normally distributed. According to the Central Limit Theorem, if the sample size is large enough (generally n > 30), the sampling distribution of the mean tends to be normal regardless of the shape of the population distribution.

b. Yes, a standard normal distribution could be used for both sample sizes to calculate the probability that the sample mean falls between 66 and 68. Since we are dealing with standard normal distribution, we first need to convert the samples into z-scores.

c. To calculate the probability for n = 36, we need to calculate the z-score for both 66 and 68 using the formula z = (X - μ) / (σ / sqrt(n)), where X is the sample mean, μ is the population mean, σ is the standard deviation, and n is the sample size. The probability that the sample mean falls between 66 and 68 for n = 36 is then simply the area under the standard normal curve bounded by these two z-scores.

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The estimate should be set Approximately $200 per month aside for vacation or travel expenses.

It is a rough calculation of the value, number, quantity, etc. It doesn't use real calculation but estimation by some method like prediction, using approximation etc.

Given that  $2300 is spent on vacations or travel each year.

It is known that 12 months in a year

= 2300/12

we can round 2300 to 2400 because it is an estimatation value and divide by 12

= 2400/12

= 200

Thus, an approximation of $200 each month.

The estimate should be set Approximately $200 per month aside for vacation or travel expenses.

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