Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!

30p each

Pack of 10
pencils for £2

Answer:

theres no expression..?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

6

1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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The expression (3√2) / (3√6) with a rationalized denominator is 3√9 / 6. Option C is the correct answer.

To rationalize the denominator in the expression (3√2) / (3√6), we can multiply both the numerator and denominator by the conjugate of the denominator. The conjugate of √6 is -√6, so we multiply the expression by (-√6) / (-√6):

(3√2 / 3√6) * (-√6 / -√6)

This simplifies to:

-3√12 / (-3√36)

Further simplifying, we have:

-3√12 / (-3 * 6)

-3√12 / -18

Finally, we can cancel out the common factor of 3:

- 3√9 / - 6.

Simplifying further, we get:

3√9 / 6.

Option C is the correct answer.

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The power series representation of f(x) is, f(x) = 1/4 - 1/16 + (1/64)*x - (1/256)*x² + ...

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
The function f(x) = x/(4+x) can be expressed as a power series using partial fraction decomposition and geometric series expansion. Here's how,

First, we can decompose f(x) as:

f(x) = x/(4+x) = x/(4(1+x/4)) = (1/4) - (1/16)/(1+x/4)

Next, we can use the formula for the geometric series:

1/(1-z) = 1 + z + z² + z³ + ...

to write the second term as a power series,

(1/16)/(1+x/4) = (1/16) * (1 - x/4 + x²/16 - x³/64 + ...)

Putting it all together, we get:

f(x) = (1/4) - (1/16)/(1+x/4)

= (1/4) - (1/16) * (1 - x/4 + x²/16 - x³/64 + ...)

= (1/4) - (1/16) + (1/64)*x - (1/256)*x²+ ...

Therefore, the power series representation of f(x) is,

f(x) = 1/4 - 1/16 + (1/64)*x - (1/256)*x² + ...

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it has the correct conditions and the correct formula for calculating the cost. \(C(x) = 3.25x + 5 if x > = 6\) Thus, option C is correct.

The correct function that models this scenario is:

\(C(x) = 3.75x if x < 6\)

\(C(x) = 3.25x + 5 if x > = 6\)

This is because for rentals less than 6 hours, the cost is simply $3.75 per hour, so the function is  \(C(x) = 3.75x\)  . For rentals of 6 hours or more, there is a discounted hourly rate of $\(3.25\) per hour, but there is also a $5 processing fee, so the function is \(C(x) = 3.25x + 5\)  .

Option (a) is incorrect because it does not include the $5 processing fee for rentals of 6 hours or more.

Option (b) is incorrect because it has the wrong conditions for the hourly rate discounts. It specifies that the discount starts at x = 6, but the correct condition is \(x > = 6.\)

Option (c) is correct, as it has the correct conditions and the correct formula for calculating the cost.

Option (d) is incorrect because it has the wrong condition for the hourly rate discounts (x < 5 instead of x < 6), and it does not include the $5 processing fee for rentals of 6 hours or more.

Therefore, it has the correct conditions and the correct formula for calculating the cost. \(C(x) = 3.25x + 5 if x > = 6\)

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Answer:

14.47 rounded to the nearest whole number is 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

4 is less then 5 so you do not need to go up!

The determinant of the given matrix is -43.

We are given that;

The matrix= 3 2 -2

1 2 4

-1 3 2

Now,

To evaluate the determinant of the matrix

[3  2 -2]

[1  2  4]

[-1 3  2]

you can use the rule of Sarrus. First, you need to copy the first two columns of the matrix and place them next to the third column:

[3  2 -2 | 3  2]

[1  2  4 | 1  2]

[-1 3  2 | -1 3]

Then, you can calculate the sum of the products of the three diagonals going from left to right:

(3 * 2 * 2) + (2 * 4 * -1) + (-2 * 1 * 3) = 12 -8 -6 = -2

and subtract from it the sum of the products of the three diagonals going from right to left:

(-1 * 2 * -1) + (3 * 4 * 3) + (2 * 1 * 2) = 1 +36 +4 =41

-2 -41 = -43.

Therefore, by the matrices the answer will be -43.

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Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

Step-by-step explanation:

Ok so I was very confused on this too. Not even going to lie to ya, I struggled with this for a long time. However once you get the hang of it, it's actually rather simple.

So, lets try a problem. What is 0.04 as a fraction?

Well, we know that 0.04 is 4%. And you can do \(\frac{4}{100}\) which is 0.04, or 4%

Does that make sense? If not let me explain it a little more.

Well basically all you have to do is put that number over 100.

Here are some examples of decimals to percentage to fraction:

0.5 = 50% = \(\frac{50}{100}\) or in simplest form \(\frac{1}{2}\)

0.11 = 11% = \(\frac{11}{100}\)

0.03 = 3% = \(\frac{3}{100}\)

I really hope this helped you!!!

If not let me know how i can explain it and what doesn't make sense!

Answer: To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, \(\frac{6}{10}\). If needed, simplify the fraction.

Step-by-step explanation:

Answer: the rate at which its altitude is changing is -47 ft/s

Step-by-step explanation:

Given that;

ds/dt = 45 mph =  45 × 5280/3600 = 66 ft/sec

no we have to determine dx/dt

so

cos∅ = dx/dt / ds/dt

cos45° = dx/dt / 66  

dx/dt = 0.7071 × 66

dx/dt = 46.6686 ≈ 47 ft/s ( as altitude is decreasing, its negative - )

so the rate at which its altitude is changing is -47 ft/s

An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;

Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;

\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

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Complete Question:

A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.

However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.

Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip

What equation can be written to determine the number of students that went on this trip?

We will have the following:

First: We dilate by a factor of 2, then we would have:

Second: We rotate by 180°:

The solution of the linear equation  is determined as x = -4.

The solution of the linear equation is calculated by applying the following method as follows;

The given linear equation;

2/x+3 - 1/x = -4/x² +3x

We can start by simplifying the equation and getting rid of the fractions.

Multiplying every term by x will help us achieve that:

2 + 3x - 1 = -4/x + 3x²

Simplifying further:

2 + 3x - 1 = (-4 + 3x²) / x

Combining like terms:

3x + 1 = (-4 + 3x²) / x

(x)(3x + 1) = -4 + 3x²

3x² + x = -4 + 3x²

We can subtract 3x² from both sides:

x = -4

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Answer:

6

Step-by-step explanation:

-4 -3 -2 -1 0 1 2

Given

To find

we know that

Inserting the value of radius

-320 is the answer to your mathematical problem

The shaded area expressed as a fraction, a decimal, and a percent of the whole is 23/100, 0.23 and 23% respectively

From the question, we are to express the shaded area as a fraction, a decimal, and a percent of the whole.

In the diagram, there are 100 total squares and 23 of them are shaded

Expressing the shaded area as a fraction, we get

\(\frac{23}{100}\)

Expressing the shaded area as a decimal, we get

\(\frac{23}{100}\) = 0.23

Expressing the shaded area as a percent , we get

\(\frac{23}{100}\times 100\%\) = 23%

Hence, the shaded area as a fraction, a decimal, and a percent of the whole is 23/100, 0.23 and 23% respectively

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Answer:

elaborate or take a picture so I understand the question.

Step-by-step explanation:

Answer:

The percentage of 18 people out of 50 is 36 %

Step-by-step explanation:

The percentage refers to the per hundred or hundredths and is ended with the symbol %.  By dividing two amounts, ratios and percentages are both used to compare the two amounts.

so,

Therefore the percentage of 18 people out of 50 people is 36 %.

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Anna's total profit was $6000 + $16000 - $4000 = $14000.

How did Anna earn profit

Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.

Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.

Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.

Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.

To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

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Answer:

x=3⋅±  2

​  

=±4.2426

x=0

Step-by-step explanation:

Answer:

gyxysxdjhxhh hocus-pocus and a 8gb that you have been using all these

Answer:

-√2

Step-by-step explanation:

f(x) = sinx + cosx

f'(x) = cosx - sinx

f''(x) = -sinx - cosx

f''(pi/4) = -sin(pi/4) - cos(pi/4) = -√2

Hubble's constant in units of km/s/million LY is approximately 21.47.

what is  approximately ?

Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.

In the given question,

To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:

1 Mpc = 3.26 million LY

Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:

1 Mpc / 3.26 million LY

Multiplying Hubble's constant by this conversion factor gives:

H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY

Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.

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The inequality that represents the value of x is (b)  x > 80

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

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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