The diagram shows a square pizza box with side lengths of 12 inches. In the box is a circular pizza with a radius of 5 inches. What is the difference between the area of box and the pizza?

Use π = 3.14 and round your answer to the nearest hundredth.

Python formats all floating point numbers to two decimal places when outputting using the print statement. (FALSE)

The if statement causes one or more statements to execute only when a Boolean expression is true. ( TRUE)

Floating point  is a number format that can be used to represent a large or small value.

In writing this number is done by writing it in exponential form, so that the number has a base number, the exponential number and the base number.

The following is writing scientific notation in floating point. example in decimal numbers

261,000,000,000 written 2.61 x 10¹¹

0.000000000261 is written 2.61 x 10^-10

The Floating point representation itself has two parts, namely the mantissa part and the exponent part. The mantissa determines the digits, while the exponent determines the value of how many powers the mantissa is, as follows:

±S * B±E

S = Significant also called mantissa

E = Exponent

B  = Base

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\(4x - 29 = 13 + 6 + 2x - 18 \\ 4x - 2x = 13 + 6 - 18 + 29 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15\)

Answer:

Step-by-step explanation:

13 + 6 + 2x - 18 = 4x - 29

2x + 1 = 4x - 29

1 = 2x - 29

30 = 2x

15 = x

The correct answer to the given question about all of the diagonals drawn from a vertex of an n-gon is option b) n-1

If all of the diagonals are drawn from a vertex of an n-gon, the number of triangles formed is equal to the number of non-diagonal sides of the n-gon. To see why, imagine selecting a vertex of the n-gon and drawing all of the diagonals from that vertex. Each diagonal connects that vertex to a non-adjacent vertex of the n-gon, which splits the n-gon into a series of triangles. The total number of triangles formed is equal to the number of non-diagonal sides of the n-gon, because each non-diagonal side forms one triangle with the selected vertex and one of its adjacent vertices. An n-gon has n sides, so the number of non-diagonal sides is equal to n - 3. This is because each vertex is connected to two adjacent vertices, so there are n - 2 diagonal sides emanating from the selected vertex, and the remaining n - 2 sides are non-diagonal. In addition, there are three sides at the selected vertex that are not counted as non-diagonal sides, so we subtract 3 from n - 2 to get n - 3. Therefore, the answer is (B) n - 1.

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Answer:

15 days

Step-by-step explanation:

120÷8=15

Are you sure it's high school math?

Answer:

\( \boxed{ \tt{x + y}}\)

Answer:

21

Step-by-step explanation:

Answer: 2

Step-by-step explanation: If you add the chetes value of 6 x6 x88 v6

The sale price of the computer after a single reduction of 30% is $455.

The double reduction (25% off and then 5% off) and the single reduction of 30% are different.

The sale price after the double reduction is $463.13, while the sale price after a single reduction of 30% is $455.

What is a percentage?

The percentage is a way of expressing a fraction or proportion out of 100. It is commonly used in many different areas such as finance, math, science, and everyday life.

First, we need to find the sale price of the computer after the double reduction.

When the price of all computers in the store is reduced by 25%, the sale price of the computer that originally cost $650 becomes:

Sale price after first reduction ,

=> 650 - 25% 0f 650

=> 650 - \(\frac{25}{100}\times\)650 = $ 487.5

Then, when the sale price is reduced by an additional 5%, the sale price of the computer becomes:

Sale price after double reduction

=> 487.5 - 5% of 487.5

=>  487.5 - \(\frac{5}{100}\times\)487.5 = $463.13

Therefore, the sale price of the computer after the double reduction is $463.13.

Next, we need to find the sale price of the computer after a single reduction of 30%.

When the original cost of the computer is reduced by 30%, the sale price becomes:

Sale price after single reduction ,

=> 650- 30% of 650

=>  650 - \(\frac{30}{100}\times\) = $455

Therefore, the sale price of the computer after a single reduction of 30% is $455.

The double reduction (25% off and then 5% off) and the single reduction of 30% are different.

The sale price after the double reduction is $463.13, while the sale price after a single reduction of 30% is $455.

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The coordinates of new figure are A'(-16,1), B'(-11,1), C'(-11,-4),  D'(-14,-4),  E'(-14,-2), F'(-16,-2)

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).

9 units right =>  subtract 9 from x coordinate

6 units down => subtract 6 from y coordinate

The coordinates of new figure are

A(-7,7) => A'(-7-9,7-6)  => A'(-16,1)

B(-2,7) => B'(-2-9,7-6) => B'(-11,1)

C(-2,2)=> C'(-2-9,2-6) => C'(-11,-4)

D(-5,2) => D'(-5-9,2-6)=> D'(-14,-4)

E( -5,4)=> E'( -5-9,4-6) => E'(-14,-2)

F(-7,4)=> F'(-7-9,4-6) => F'(-16,-2)

The coordinates of new figure are A'(-16,1), B'(-11,1), C'(-11,-4),  D'(-14,-4),  E'(-14,-2), F'(-16,-2)

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The cylinder has a volume of about 30.55 cubic feet. Consequently, option D, which is 30.55 cubic feet, is the right response.

As a result, the product of the base area and height can be used to determine the cylinder's volume. The volume of any cylinder with base radius "r" and height "h" equals base times height. A cylinder's volume is therefore equal to r²h cubic units.

We use the following formula to determine a cylinder's volume:

V = πr²h

The height of the cylinder is 3.8 feet, according to the issue description.

The distance in feet between two points on the circular base that pass through the centre is designated as the 3.2 feet segment.

When these values are added to the formula, we obtain:

V = π(1.6)²(3.8)

V ≈ 30.55 cubic feet

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Answer:

option D, which is 30.55 cubic feet, is the right response.

Step-by-step explanation:

Answer:

The domain of √x - 1 is x ≥ 0

Step-by-step explanation:

The function f(x) = √x has real outputs only for x ≥ 0.  The constant -1 is defned for all x.  

The domain of √x - 1 is x ≥ 0.

Answer: -12s + -2

Step-by-step explanation: You need to combine the like terms so -3sx4s = -12s and 2+-1 = -2 so it’s -12s + -2 or -12s - 2

Answer:

-12s²+11s-2

Step-by-step explanation:

(-3s+2)(4s-1)

First you have to FOIL (First, inner, outter, last)

First: -3s × 4s

Inner: -3s × -1

Outter: 2 × 4s

Last: 2 × -1

Now you should have -12s² + 3s + 8s -2

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

Next you combine your like terms

Finally you have your answer, -12s²+11s-2 .

Yes, the laws of exponents hold for positive and negative numbers, fractional exponents, and even irrational exponents such as π.

The laws of exponents apply to both positive and negative numbers. For example, when multiplying or dividing numbers with exponents, the exponents can be added or subtracted, respectively, regardless of the sign of the base. Similarly, when raising a number with an exponent to another exponent, the exponents can be multiplied. These rules hold true for positive and negative numbers, allowing consistent manipulation of expressions involving exponents.

Yes, the laws of exponents also hold for fractional exponents. The most common law, the power rule, states that when raising a number to a fractional exponent, the exponent can be expressed as a quotient of integers. This allows us to extend the laws of exponents to include fractional exponents and perform calculations accordingly. For example, we can multiply numbers with fractional exponents by adding the exponents and divide them by subtracting the exponents.

Yes, the laws of exponents also hold for irrational exponents, including numbers like π. Although irrational exponents cannot be expressed as exact fractions or decimals, we can still apply the laws of exponents. When working with irrational exponents, the calculations typically involve approximations or infinite series representations. However, the fundamental rules of exponentiation, such as adding, subtracting, or multiplying exponents, remain valid for irrational exponents as well.

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The 95% confidence interval to estimate the variance of the weights of the packages prepared by the machine is [0.16, 0.32].

To calculate this interval, we can use the chi-squared distribution. Since the sample size is relatively large (n=93), we can assume that the sampling distribution of the sample variance is approximately normal. Using the chi-squared distribution with 92 degrees of freedom (df = n - 1), we can find the values of chi-squared that correspond to the lower and upper 2.5% tails of the distribution.

For the lower tail, we find the chi-squared value that corresponds to the 2.5th percentile with 92 degrees of freedom, which is 69.18. For the upper tail, we find the chi-squared value that corresponds to the 97.5th percentile with 92 degrees of freedom, which is 115.14.

We can then use these chi-squared values and the sample variance to construct the confidence interval as follows:

(lower chi-squared value / (n-1)) * sample variance ≤ population variance ≤ (upper chi-squared value / (n-1)) * sample variance

(69.18 / 92) * 0.23 ≤ population variance ≤ (115.14 / 92) * 0.23

0.16 ≤ population variance ≤ 0.32

Therefore, we can be 95% confident that the true variance of the weights of the packages prepared by the machine is between 0.16 and 0.32.

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A circular pipe with a diameter of approximately 0.11 meters (or 110 millimeters) is needed to produce a flow rate of 250 firkins per fortnight when there is a pressure drop of 3 x 10^5 scruples per square barleycorn.

The flow rate and pressure drop are in non-standard units. We need to convert them to standard units before proceeding with calculations.

1 firkin = 40.91481 liters

1 fortnight = 1209600 seconds

1 scruple = 1/24 grains

1 barleycorn = 1/3 inch

Therefore, we have:

Flow rate = 250 firkins per fortnight

= (250 x 40.91481 liters) / (1209600 seconds)

= 8.4776 x 10^-2 liters per second

Pressure drop = 3 x 10^5 scruples per square barleycorn

= (3 x 10^5 / 24 grains) / (1/3 inch)^2

= 6.5355 x 10^8 pascals

We can use the Darcy-Weisbach equation to calculate the diameter of the circular pipe needed to produce the given flow rate and pressure drop:

ΔP = (f * L * V^2) / (2 * D * ρ)

where: ΔP = pressure drop (pascals), f = friction factor (dimensionless), L = length of pipe (meters), V = velocity of fluid (meters per second), D = diameter of pipe (meters), ρ = density of fluid (kilograms per cubic meter).

Assuming water as the fluid (density = 1000 kg/m^3), rearranging the equation to solve for D gives:

D = √[(f * L * V^2) / (2 * ΔP * ρ)]

We need to estimate the friction factor, which depends on the Reynolds number (Re) and the relative roughness (ε/D) of the pipe. Assuming a smooth pipe, we can use the following approximation:

f = 0.316 / Re^0.25

The Reynolds number can be calculated as:

Re = (D * V * ρ) / μ

where: μ = viscosity of fluid (kg/m-s)

Assuming water at 20°C (viscosity = 1.002 x 10^-3 kg/m-s), we have:

Re = (D * V * ρ) / μ

= (D * 8.4776 x 10^-2 * 1000) / (1.002 x 10^-3)

= 84596.09 * D

Let's assume a relative roughness of 0.0001 (for a smooth pipe) and substitute the values in the equation for D:

D = √[(0.316 / (84596.09 * D)^0.25) * (L * (8.4776 x 10^-2)^2) / (2 * 6.5355 x 10^8 * 1000)]

We can solve this equation iteratively using a trial-and-error method. Let's assume a starting value of D = 0.1 meters:

D = √[(0.316 / (84596.09 * 0.1)^0.25) * (10.68864) / (2 * 6.5355 x 10^8 * 1000)]

D = 0.11028 meters

This diameter may not be exact, but it should be close enough for practical purposes. Therefore, a circular pipe with a diameter of approximately 0.11 meters (or 110 millimeters) is needed to produce a flow rate of 250 firkins per fortnight when there is a pressure drop of 3 x 10^5 scruples per square barleycorn.

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44 percentage of scanners can be expected to fail between 40 and 45 months of service.

The percentage of scanners that can be expected to fail between 40 and 45 months of service, we need to calculate the probability within this range using the normal distribution.

Mean (μ) = 41 months

Standard deviation (σ) = 4 months

We can use the standard normal distribution to calculate the probability. However, since the distribution is given as normally distributed with a specific mean and standard deviation, we need to standardize the values before using the standard normal distribution table.

To standardize a value (x) in a normal distribution, we use the formula:

Z = (x - μ) / σ

For the lower limit of 40 months:

Z₁ = (40 - 41) / 4 = -0.25

For the upper limit of 45 months:

Z₂ = (45 - 41) / 4 = 1

Next, we look up the probabilities associated with these standardized values in the standard normal distribution table.

The probability of a z-score less than or equal to -0.25 is P(Z ≤ -0.25), and the probability of a z-score less than or equal to 1 is P(Z ≤ 1).

Using the standard normal distribution table, we find:

P(Z ≤ -0.25) ≈ 0.4013

P(Z ≤ 1) ≈ 0.8413

To find the probability within the range of 40 to 45 months, we subtract the lower probability from the upper probability:

P(40 ≤ X ≤ 45) = P(Z ≤ 1) - P(Z ≤ -0.25)

P(40 ≤ X ≤ 45) ≈ 0.8413 - 0.4013 = 0.44

Therefore, approximately 44% of scanners can be expected to fail between 40 and 45 months of service.

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Answer:

170

Step-by-step explanation:

Let the number of cell phones be x

2 : 3 = 68: x

Product of extremes = product of means

2 * x = 68 * 3

     x = \(\frac{68*3}{2}\)

        = 34 * 3

x = 102

Number of phones = 102 + 68 = 170

9514 1404 393

Answer:

  5x^2 -55x +150 = 0

Step-by-step explanation:

A root of p means (x-p) is a factor. So, the factored form of the equation you want is ...

  5(x -5)(x -6) = 0

  5(x^2 -11x +30) = 0 . . . . . multiplying binomials

  5x^2 -55x +150 = 0 . . . . applying the leading coefficient

There are 3,760,320 different number of winning orders in the lottery game.

To determine the number of different winning orders in the lottery game, we need to calculate the number of permutations of 4 objects taken from a set of 40.

The number of permutations of 4 objects taken from a set of 40 can be calculated using the formula for permutations:

P(n, r) = n! / (n - r)!

where n is the total number of objects in the set and r is the number of objects taken at a time.

In this case, we have 40 objects (numbered Ping-Pong balls) and we want to choose 4 balls at a time, so the formula becomes:

P(40, 4) = 40! / (40 - 4)!

Simplifying the expression:

P(40, 4) = 40! / 36!

Calculating the factorial:

40! = 40 * 39 * 38 * 37 * 36!

Canceling out the common terms:

P(40, 4) = (40 * 39 * 38 * 37 * 36!) / 36!

The factorials in the numerator and denominator cancel out:

P(40, 4) = 40 * 39 * 38 * 37

∴ P(40, 4) = 3,760,320

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The answer is Option 3: log 28.

Logarithm is a mathematical function that is used to determine the exponent of a given number. For example, the logarithm of 8 is equal to 3, since 2 to the power of 3 is equal to 8. Logarithm is also known as log and is commonly used in scientific calculations to simplify complex equations.


This can be derived by using the logarithmic rule of multiplication and addition: log(ab) = log(a) + log(b). In this case, log 4 + log 7 - log 2 = log(4*7) - log 2 = log 28.

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Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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Answer:

learn geometry or you Will fail

The equation of a circle with a center at (-4, 0) that passes through the point (-2, 1) is (x +4)² + y ² = 5

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The equation of a circle with center (a, b) and radius r is given by (x - a)² + (y - b)² = r²

We are given that the center of the circle is (-4, 0),

so a = -4 and b = 0.

We also know that the circle passes through the point (-2, 1), so we can use this point to find the radius of the circle.

Using the distance formula, we can find the distance between the center (-4, 0) and the point on the circle (-2, 1):

r =√(x₂-x₁)²+(y₂-y₁)²

=√(-2-(-4))²+(1-0)²

=√4+1

=√5

So the equation of the circle is (x - (-4))² + (y - 0)² = √5²

(x +4)² + y ² = 5

Hence, the equation of a circle with a center at (-4, 0) that passes through the point (-2, 1) is (x +4)² + y ² = 5

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The statement that non-normality of the residuals from a regression can best be detected by looking at the residual plots against the fitted y values is a false statement.

We have a statement and we need to find out if it is true. A negative residual indicates that the model did not fit. This means that the error produced by the model is not the same between variables and observations (that is error is not random). The content is not regular, that is, the content is distributed regularly and we can conclude that the linear model is the appropriate model. If the subject sees a curvilinear pattern such as a U-shaped pattern, we can conclude that a linear pattern is not suitable and a non-linear pattern would be better. These charts are useful for identifying inconsistencies, inconsistencies in error variance, and inconsistencies. Two well-known tests for normality of residues are the Kolmogorov Smirnov test and the Shapiro-Wilk test. So, residual plot can't be used to check the non-normality of the residuals from a regression. Therefore, it is false statement.

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The sum of the first ten prime numbers is 129.

The prime numbers are those numbers that have only one factor namely 1 and the number itself.

The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.

Their sum is

2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29

= 129

Hence, the sum of the first ten prime numbers is 129.

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Answer:

I think B but Im not 100% sure

The perimeter of a rectangle is 2 times the sum of its length and width. For a rectangle with length 6 and width 0, the perimeter is 12 units.

The edge of a square shape is provided by twice with the amount of its length and its width. Thus, the equation for the edge of a square shape with length x and width y is: p = 2(x + y).

Given a square shape with length x = 6 and width y = - 1 + 1 = 0, the edge is:

p = 2(6 + 0) = 2(6) = 12.

Thus, the right equation for the edge of this square shape is: p = 2x = 2 * 6 = 12.

The edge of a square shape is the all out length around its four sides. It tends to be determined by including the lengths of the different sides and afterward increasing the aggregate by 2. The recipe for the edge, p, of a square shape with length x and width y is given by: p = 2(x + y). This is on the grounds that the edge is comprised of different sides of length x and different sides of length y, so the complete length is 2x + 2y. By duplicating this total by 2, we get the last recipe for the edge of a square shape: p = 2(x + y).

In the given issue, the length of the square shape is 6 and the width is - 1 + 1 = 0, so the edge is determined as: p = 2(6 + 0) = 2(6) = 12. This implies that the edge of the square shape is 12 units.

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Answer:

x = 5

Step-by-step explanation:

10^5=

(10 x 10) x 10 x 10 x 10=

(100 x 10)x 10 x 10=

(1000 x 10) x 10=

(10,000 x 10) = 100,000

To solve the equation 10^x = 100,000, we need to isolate x on one side of the equation. We can do this by taking the logarithm of both sides of the equation with base 10:

log(10^x) = log(100,000)

Using the logarithmic property log(a^b) = b*log(a), we can simplify the left side of the equation:

x*log(10) = log(100,000)

Since log(10) = 1, we can simplify further:

x = log(100,000)

Using a calculator, we can evaluate the logarithm to get:

x = 5 + log(10)

x = 5 + 1

x = 6

Therefore, the solution to the equation 10^x = 100,000 is x = 6.

Answer:

The three dollar

Step-by-step explanation:

for the three dollar one its 25% off and the 5 dollar one is 20% off

Answer:

$448.50

General Formulas and Concepts:

Pre-Algebra

Statistics

Simple Interest Rate Formula: A = P(1 + rt)

Step-by-step explanation:

Step 1: Define variables

P = 390

r = 0.03

t = 5

Step 2: Find A

And we have our final answer!

Answer:

The Answer Is: 448.50 Just did the question

Step-by-step explanation: