PLEASE HELP URGENTLY
John wants to save money on fuel. His friend tells him: You can save 1/3 of the cost of your fuel by driving efficiently. John spends £72 each week on fuel for his car. He thinks driving efficiently can save him £100 every 4 weeks. Is John correct? Show why you think this us.​

One liter equals 1000 milliliters.

Answer:

One liter equals 1000 milliliters.

Step-by-step explanation:

A liter (L) and a milliliter (mL) are both units of volume in the metric system. One liter is defined as the volume of a cube with edges that are 10 centimeters in length, which is equivalent to 1000 cubic centimeters (cm^3). A milliliter, on the other hand, is equal to one-thousandth of a liter, which means there are 1000 milliliters in one liter.

In other words, if you have one liter of water in a container, you could pour it into a smaller container that measures in milliliters, and it would fill exactly 1000 mL.

Ascending order of the numbers are,

⇒ - 2 1/4, - 1 1/4, | 1 1/4| , | - 1 3/4|, | - 2 1/4 |

The numbers which are arrange in order to least to greatest number is called Ascending order.

We have to given that;

All the numbers are,

⇒ |-2 1/4| , -1 1/4,  3/4,  -2 1/4,  |1 1/4|,  |-1 3/4|

Now, We can simplify each number as;

⇒ | - 2 1/4 | = 2 1/4

                 = 9/4

                 = 2.15

⇒ - 1 1/4 = - 5/4

            = - 1.25

⇒ 3/4 = 0.75

⇒ - 2 1/4 = - 9/4

             = - 2.25

⇒ | 1 1/4| = 5/4

              = 1.25

⇒ | - 1 3/4| = 7/4

                = 1.75

Thus, Ascending order of the numbers are,

⇒ - 2.25, - 1.25, 1.25, 1.75, 2.15

⇒ - 2 1/4, - 1 1/4, | 1 1/4| , | - 1 3/4|, | - 2 1/4 |

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Answer: 3.93701

Step-by-step explanation:

For given Step function also known as piecewise function, The range of g(x)  is {-3,2,5} i.e. C.

What exactly is a piecewise function?

A piecewise function has several definitions in various x intervals. The graph of a piecewise function is split into sections that correspond to each of its definitions. The absolute value function is an outstanding example of a piecewise function. Let us look at why it was given that name. We know that an absolute value function is defined as f(x) = |x|.

f(x)=(x if x x≥0)

-x if x<0)

This piecewise function should be interpreted as

When x is higher than or equal to 0, f(x) equals x.

When x is less than zero, f(x) equals -x.

Now,

As range of a given function is given by its y values, here it will be given by values of g(x) and as we can see from question for values of x, g(x) is always equal to -3,2,5.

Hence,

           The range of g(x) is {-3,2,5}.

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Answer:

589

Step-by-step explanation:

divide the money they spend on 3 weeks by 3 zo you will get how much they spend one week

1767/3=589

The selling price of the motorcycle is Rs 1,19,400. To calculate this, we can use the formula Selling Price = Original Price - (Original Price × Loss Percentage).

In this case,

To calculate the selling price of an item when a loss percentage is given, we first need to calculate the amount of the loss. This can be done by multiplying the original price by the loss percentage. Then, we subtract the loss amount from the original price to get the selling price.

In this example, the original price of the motorcycle was Rs 135000, and the loss percentage was 12%. Multiplying 135000 by 0.12 gives us a loss amount of 16200, and subtracting this from 135000 gives us a selling price of 119400. This calculation can be used to quickly and accurately determine the selling price of an item when a loss percentage is given.

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Answer: 52.64

Step-by-step explanation: add 18.9 and 33.74

Answer:

-10 - 4i

Step-by-step explanation:

We can rewrite the equation as (by getting rid of parentheses):

-8 + 3i - 2 - 7i

Now, we can add/subtract the values:

(-8-2) + (-7i+3i)

= -10 - 4i

The total of a hexagon's internal angles is 720 degrees.

The internal angles of a hexagon may be calculated using the formula "180 - (360/n)," where n is the number of sides. When you enter 6 for a hexagon, the response is 120 degrees.

We might begin by imagining a hexagon to better comprehend the notion. It is a basic design made up of six distinct straight lines that join to form a closed shape. The internal angles are the angles on the inside of the form.

The above-mentioned formula may be used to compute the internal angles of a hexagon. For each inner angle of a hexagon, the computation yields a value of 120 degrees. Hence the total of a hexagon's internal angles is 720 degrees.

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Answer: Impossible to answer/ 12 chickens 8 rabbits

Step-by-step explanation: The question asks how many hens there are, or female chickens. We do not know if the chickens are female or male, so we cannot answer. If you meant how many chickens there were, then we start with 20 chickens and 0 rabbits. Doing so, we have 40 legs. When we switch a chicken for a rabbit, we have 19 chickens and 1 rabbit, and 42 legs. So, we can subtract 56-40 giving us 16 extra legs we need, so we divide 16/2 giving us 12 chickens and 8 rabbits.

Regression line is used to make predictions about the values of y for a given x-value and to determine the strength of a linear association between two variables. The correct answer is option D.

The regression line is a straight line that best represents the relationship between two variables. It is commonly used in statistics and data analysis to make predictions about one variable based on the other variable. The regression line can also be used to determine the strength of the linear association between the two variables.

Option A is correct because the regression line can be used to make predictions about the values of y for a given x-value. Once the regression line has been calculated, it can be used to estimate the value of y for any given value of x. This is particularly useful in situations where it is not feasible or practical to obtain the actual value of y for a given x.

Option B is also correct because the regression line provides a measure of the strength of the linear association between two variables. The slope of the regression line indicates the direction and strength of the relationship between the two variables.

A positive slope indicates a positive relationship, while a negative slope indicates a negative relationship. The closer the slope is to zero, the weaker the relationship between the two variables. Therefore, Correct option is D - Both A and B.

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The expression 350 ml is equivalent to approximately 11.83 fluid ounces (fl oz).

From the question, we have the following parameters that can be used in our computation:

350 ml = x oz

To convert milliliters to fluid ounces

We can use the conversion factor of 1 milliliter = 0.033814 fluid ounces.

So, to convert 350 ml to fluid ounces, we can multiply 350 by 0.033814, which gives us:

350 ml x 0.033814 fl oz/ml = 11.83 fl

So, 350 ml is approximately equal to 11.83 fluid ounces.

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The BSA or Body surface area can be calculated by the formula is as follows: Body Surface Area= 0.007184 x (Height(m)^0.725) x (Weight(kg)^0.425)

Body surface area was developed as a metric to be used as such in the modulation of many various pharmaceutical treatments and as a standard index to various physiological measurements like glomerular filtration rate and cardiac output.

The Du Bois and its formula is one of the most widely used methods to determine a person's body surface area, in despite the fact that there are actually numerous variations on this concept. In the measurement of physiological and pharmacological data, the body surface area metric is much highly valued. The most typical reference point for chemotherapeutic drug dosing is body surface area.

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One inch is equal to 2.54 centimeters on the ruler, so, to read on the ruler, every 2.54 cm will be equal to one inch.

Normally a ruler scale if of length 15cm. we have certain marks on the ruler to read the rules of the scale/ruler.

Now, from the standard unit conversion methods, we know, one inch is equal to about 2.54 centimeters.

Now, what we to is, to read the ruler, we mark every 2.54cm on the ruler and that becomes equal to one inch. On a scale of 15cm there will be 6 inches on the ruler.

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Answer: 8x^3 - 18x^2 + 11x - 3

Distribute and combine like terms

Measures of centre are used to describe the typical or average value of the data, while measures of spread describe the variability or dispersion of the data around the centre. Some common measures of centre and spread include:

Mean: the arithmetic average of the data. It is appropriate for symmetric distributions without outliers.

Median: the middle value of the data. It is appropriate for skewed distributions and distributions with outliers.

Mode: the most common value in the data. It is appropriate for distributions with a prominent peak or mode.

Range: the difference between the maximum and minimum values in the data. It is appropriate for describing the spread of the data, but it can be influenced by outliers.

Interquartile range (IQR): the range of the middle 50% of the data, from the 25th percentile (Q1) to the 75th percentile (Q3). It is appropriate for describing the spread of the data, and it is less influenced by outliers than the range.

Standard deviation: a measure of the average distance of the data from the mean. It is appropriate for symmetric distributions without outliers, and it is used to describe the spread of the data in the context of the mean.

The choice of which measures to use depends on the characteristics of the distribution and the goals of the analysis.

In general, it is important to consider multiple measures of centre and spread in order to obtain a complete understanding of the distribution of the data.

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A two-sample t-test is a statistical test used to determine if there is a significant difference between the means of two independent groups or populations.

In research and experimental investigations, the two-sample t-test is frequently used to assess if there is a statistically significant difference between the mean values of two samples or groups.

The average test results of two separate student groups, for instance, may be compared by a researcher to see if one group performs noticeably better than the other.

The two-sample t-test makes the assumption that the two samples are independent, have nearly normal distributions, and have identical variances.

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"6x - 5" is the expressions that can be subtracted from 9x to give the result in expression 3x+5.

To find the expression that can be subtracted from 9x to result in the expression 3x+5.

Let the expression be (a - b = c),

Here a = 9x

and the result, c = 3x + 5

We have to find out b = ?

Substitute the values of a and b in the above equation then we get;

9x - b = 3x + 5

9x - (3x + 5) = b

b = 6x - 5

Hence the expressions that can be subtracted from 9x to result in the expression 3x+5 is 6x - 5

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The Rational Roots Theorem identifies possible rational roots of a polynomial equation in terms of factors of its coefficients.

The Rational Roots Hypothesis, otherwise called the Judicious Zeros Hypothesis, is a numerical hypothesis that assists with recognizing conceivable objective foundations of a polynomial condition. In particular, that's what it expresses on the off chance that a polynomial condition with number coefficients has a sane root, that root should be of the structure p/q, where p is a variable of the consistent term and q is an element of the main coefficient.

For instance, in the event that a polynomial condition has the structure ax^3 + bx^2 + cx + d = 0, and the main coefficient an and the consistent term d are numbers, then, at that point, the conceivable sane foundations of the situation are the quantities of the structure p/q, where p is a component of d and q is a variable of a.

The Normal Roots Hypothesis is valuable in tackling polynomial conditions and deciding if they have reasonable roots.

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The surface area of the square base pyramid is 736 cm².

Surface area is the amount of space covering the outside of a three-dimensional shape. The surface area of a solid object is a measure of the total area that the surface of the object occupies.

here, we have,

Surface area = A + 1 / 2 ps

where

A = base area

p = perimeter of the base

s = slant height

Therefore,

A = 16² = 256 cm²

p = 4(16) = 64 cm

s = 15 cm

surface area = 256 + 1 /  2 × 64 × 15

surface area = 256 + 480

surface area = 736 cm²

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With given expression, Fiction books will be calculated as 12.

What are expressions exactly?

In mathematics, expressions are mathematical claims that consist of at least two sentences that contain numbers, variables, or both, and are linked by an operator in between. Mathematical operations include addition, subtraction, multiplication, and division. For instance, x + y is an equation in which the words x and y are separated by an addition operator. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.

e.g. A number is 6 more than half of another number, x. This proposition can be stated mathematically as x/2 + 6. Mathematical expressions are used to answer complex problems.

Now,

According to given conditions

Let non-fiction books=n

then fiction books are=3/8n

given that n+3/8n=44

11n/8=44

n=32

then 3/8n=12

hence,

        Fiction books will be 12.

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Right Question:-

   In the library at Lenape Elementary School, there are 3/8 as many fiction books as there are nonfiction books. There are 44 books in the school library. How many books are fiction books?

You are 1 meter behind the fixed point.

The total path length covered by the moving body is called distance covered.

Given is that you move on a rectilinear track and move from a fixed point 12 meters to the right, advance in the same direction 5 meters and then return in the opposite direction 18 meters.

Total displacement = 12 + 5 - 18 = - 1

So, you are 1 meter behind the fixed point.

Therefore, you are 1 meter behind the fixed point.

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{Question in english -

Suppose you move on a rectilinear track and move from a fixed point 12 meters to the right, advance in the same direction 5 meters and then return in the opposite direction 18 meters, the distance between the fixed point and you is}

By using the long division method, the result of 19 divided by 20 is 0.95

Long division is a method of dividing two numbers using a step-by-step process of repeatedly dividing the dividend (the number being divided) by the divisor (the number you are dividing by), writing down the results of each step, and subtracting the remainder from the next dividend.

Here, 19 divided by 20

The picture shows the division process

To divide 19 by 20 using long division, you start by dividing 20 into the first digit of 19, which is 1. The result is 0 with a remainder of 1.

Then bring down the next digit, which is 9, and place it next to the remainder to make 19. You then divide 20 into 19, which gives you 0 with a remainder of 19.

Therefore, 19 divided by 20 is 0.95

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Using the theorem of angle around a point, the value of GHJ is 237 degrees

When we talk about the "angle around a point," we are usually referring to the total angle formed by two or more lines or line segments that intersect at a common point, known as the vertex.

Specifically, the "angle around a point" is equal to 360 degrees or 2π radians. This is because, when two or more lines intersect at a point, they form multiple angles, and the sum of these angles is always equal to 360 degrees or 2π radians.

Since we know that FPJ and JPI are congruent, this implies that they're equal to one another. We can find the value by setting them as x

x + x + 51 + 66 + 99 = 360

Reason: The sum of angles around a point is equal to 360 degrees

2x + 216 = 360

2x = 360 - 216

2x = 144

x = 72

The value of FPJ and JPI is 72.

The value of GHJ is is equal to 66 + 99 + 72 = 237°

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The slope of the tangent line to the graph g(x) = 2x⁴ at (-2,32) is -64.

Given the function in the question;

g(x) = 2x⁴

Slope of the tangent line at (-2,32) = ?

Since 2 is constant with respect to x, the derivative of 2x⁴ with respect to  x will be;

2 d/dx [x⁴]

Now, differentiate using power rule.

d/dx[ xⁿ ] = nxⁿ⁻¹ where n = 4

2( 4x³ )

8x³

Next, evaluate the derivative at x = -2

8( -2 )³

8 × -8

-64

Therefore, the slope of the tangent line is -64.

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Refer to the images attached.

The rate of change of the circle diameter with respect to the radius is a constant value of 2.

The diameter of a circle is twice the radius, so we can write:

Diameter = 2 * Radius

To find the rate of change of the diameter with respect to the radius, we can take the derivative of both sides of this equation with respect to the radius:

diameter/d(radius) = d(2 * radius)/d(radius)

The derivative of 2*radius with respect to radius is simply 2, so we can simplify the equation:

diameter/d(radius) = 2

Therefore, the rate of change of the circle diameter with respect to the radius is a constant value of 2. This means that if we increase the radius by a small amount, the diameter will increase by twice that amount. Conversely, if we decrease the radius by a small amount, the diameter will decrease by twice that amount.

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Answer:

Step-by-step explanation:

1 yard = 1/2in shadow

Then 8ft = 192 * 1/2in

Then the radio tower is 192 yards (1 yard = 3 feet)

The radio tower = 576 feet

Answer:

Step-by-step explanation:

576

The method to convert milimeter to kilometre will be the formula - quantity in milimeter divided by 10⁶.

We know that mm represents milimeter and km represents kilometres. Now, relating the two quantities as follows -

1 kilometre is equal to 10⁶ milimeter

So, converting milimeter to kilometres using the above mentioned relation.

10⁶ milimeter is 1 kilometre

So, 1 milimeter in kilometre will be = 1/10⁶ kilometres

Now, convert the 5000 milimeter to kilometres for practice.

So, the formula will be -

Distance from milimeter to kilometre = 1/10⁶ kilometres

The required distance is = 5000 /10⁶

Performing division on Right Hand Side of the equation

The required distance = 0.005 kilometres

Hence, 5000 milimeter will be 0.005 kilometre.

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The different ways that the people from can randomly sit down in adjacent seats is 138240 ways

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects. This can be illustrated by nCr

There are 2 people from California, so they can be arranged in 2! = 2 ways.

There are 4 people from Mexico, so they can be arranged in 4! = 24 ways.

Now we can treat the group of Californians and the group of Mexicans as a single block of 6 people (2 Californians and 4 Mexicans), which we can arrange with the 3 people from England. There are 3 + 1 = 4 blocks of 6 people that we can form (one for each possible position of the block), and within each block, there are 6! ways to arrange the people.

Therefore, the total number of arrangements that satisfy the given conditions is:

= 2! * 4! * 4 * 6! = 2 * 24 * 4 * 720

= 138,240 ways

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