Draw models of 2 pizzas with a different
number of equal pieces. Use shading to
show of each pizza. (giving brainliest to whoever answers.) (show a picture)

Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

Pentagons is that are two-dimensional polygons having five sides and fifth angles. When we mix the Greek terms "penta" and "gon," which mean "five" and "angles," respectively, we have the word "pentagon."

Here, we know that a pentagonal prism has five rectangular sides in addition to two pentagonal bases at the top and bottom.

Pentagonal prisms are pentagon-shaped if we look at them from the bottom.

When viewed from the side, a pentagonal prism would have a rectangular shape.

If we were to look at the pentagonal prism from the front, it would appear rectangular.

Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

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On solving the provided question, we can say that In triangle DBC and BDA, So, By SSS, △DBC ≅ △BDA

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

In triangle DBC and BDA

BD = BD ( common base)

AB = CD

AD = BC

So, By SSS,

△DBC ≅ △BDA

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To answer the question, no, the n-tuple (x,x,x,....x) does not necessarily have to consist of non-negative values.

An n-tuple is a sequence of n elements, and in mathematics, it can refer to a sequence of real numbers, complex numbers, or other types of mathematical objects. In the case of the given set of n-tuples, it specifies that the n-tuple consists of real numbers and that all the elements in the tuple have the same value, which is denoted by x.

The definition of the set only specifies that the elements are real numbers and that they are all equal to each other. Therefore, the elements in the tuple can be positive, negative, or zero.

However, if the context of the problem or application requires the elements to be non-negative, then this restriction should be explicitly stated.

For example, if the n-tuple represents a set of quantities that cannot be negative, such as lengths, areas, or volumes, then it is appropriate to specify that the elements are non-negative real numbers.

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the bottles were sold equal x / 45

Answer:

E. 14

Step-by-step explanation:

The shape is clearly a rectangle, from the units given

Perimeter= distance round a shape

Perimeter= 5+5+2+2=14

Answer:

  (c)  Yes, because for each input there is exactly one output.

Step-by-step explanation:

You want to know if the relation {(-5, 1), (-2, 0), (-1, -1), (0, 2), (1, 3), (5, 1)} represents a function.

A relation is a function if there is exactly one output for each input. When the (input, output) points are plotted on a graph, no two of them lie on the same vertical line (the "vertical line test"). When the points are listed in a table, no input value is repeated.

The attachment shows the graph of the given relation. You will notice it passes the vertical line test, and that no x-value is repeated in the table.

Is the relation a function?

  C.  Yes, because for each input there is exactly one output.

<95141404393>

Answer:

2(5−12)

Hope this helps!

Answer:

<C=101° and <E=46°

Step-by-step explanation:

Both Being co-interior angles....

Answer:

acute

Step-by-step explanation:

The international math and science assessment for fourth- and eighth-graders is called the Trends in International Mathematics and Science Study (TIMSS).

This assessment is conducted every four years and measures the knowledge and skills of students in math and science subjects across different countries. TIMSS aims to provide a global perspective on students' academic achievement and to identify areas of strength and weakness in education systems. The assessment is particularly important for policymakers, educators, and researchers as it enables them to compare the performance of students in different countries and to identify effective teaching practices. By participating in TIMSS, fourth- and eighth-graders can contribute to this global effort to improve the quality of education and prepare for future challenges.

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The simplified form of the expression –9.2(8x – 4) + 0.7(2 – 6.3x) is:

–78.01x + 38.2.

To simplify the expression –9.2(8x – 4) + 0.7(2 – 6.3x), we start by applying the distributive property.

First, we distribute –9.2 to the terms inside the first parentheses:

–9.2(8x – 4) = –9.2 * 8x + –9.2 * (-4) = –73.6x + 36.8

Next, we distribute 0.7 to the terms inside the second parentheses:

0.7(2 – 6.3x) = 0.7 * 2 + 0.7 * (-6.3x) = 1.4 – 4.41x

Now, we combine the simplified terms:

–73.6x + 36.8 + 1.4 – 4.41x = –73.6x – 4.41x + 36.8 + 1.4

Finally, we combine like terms:

–73.6x – 4.41x + 36.8 + 1.4 = –78.01x + 38.2

Therefore, the simplified expression is –78.01x + 38.2.

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The upper specification limit is 2.520 mm, and the lower specification limit is 2.480 mm.  The process is not capable according to the purchaser's requirement of a capability index of 1.50.

(a) The upper specification limit (USL) is calculated by adding the process mean (2.500 mm) to the upper tolerance (0.020 mm), resulting in 2.520 mm. The lower specification limit (LSL) is calculated by subtracting the lower tolerance (0.020 mm) from the process mean, resulting in 2.480 mm.

(b) The process capability index (Cp) is calculated by dividing the tolerance width (USL - LSL) by six times the standard deviation. In this case, the tolerance width is 0.040 mm (2.520 mm - 2.480 mm) and the standard deviation is 0.004 mm. Therefore, Cp = 0.040 mm / (6 * 0.004 mm) = 1.25.

(c) The purchaser requires a capability index (Cpk) of 1.50, which measures how well the process meets the specification limits. Since Cp (1.25) is less than the desired Cpk (1.50), the process is not capable according to the purchaser's requirement. It is not good enough for the supplier either, as the Cp is less than the desired level.

(d) If the process mean were to drift to 2.497 mm, the Cp value would remain the same at 1.25. Since the Cp value is still less than the desired Cpk of 1.50, the process would still not be good enough for the supplier's needs, even with the changed process mean.

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Answer:

true

Step-by-step explanation:

Check the picture below.

\((14x+38)+(6x-18)=180\implies 20x+20=180\implies 20x=160 \\\\\\ x=\cfrac{160}{20}\implies x=8\hspace{9em}\underset{ \measuredangle A }{\stackrel{ 6(8)-18 }{\text{\LARGE 30}^o}}\)

The series diverges according to the Root Test.

To test the convergence of the series using the Root Test, we need to evaluate the limit of the absolute value of the nth term raised to the power of 1/n as n approaches infinity. In this case, our series is:

∑(n=1 to ∞) ((2n + 6)/(3n + 1))^n

Let's simplify the limit:

lim(n → ∞) |((2n + 6)/(3n + 1))^n| = lim(n → ∞) ((2n + 6)/(3n + 1))^n

To simplify further, we can take the natural logarithm of both sides:

ln [lim(n → ∞) ((2n + 6)/(3n + 1))^n] = ln [lim(n → ∞) ((2n + 6)/(3n + 1))^n]

Using the properties of logarithms, we can bring the exponent down:

lim(n → ∞) n ln ((2n + 6)/(3n + 1))

Next, we can divide both the numerator and denominator of the logarithm by n:

lim(n → ∞) ln ((2 + 6/n)/(3 + 1/n))

As n approaches infinity, the terms 6/n and 1/n approach zero. Therefore, we have:

lim(n → ∞) ln (2/3)

The natural logarithm of 2/3 is a negative value.Thus, we have:ln (2/3) <0.

Since the limit is a negative value, the series diverges according to the Root Test.

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The probable question may be:
Test the series below for convergence using the Root Test.

sum n = 1 to ∞ ((2n + 6)/(3n + 1)) ^ n

The limit of the root test simplifies to lim n → ∞  |f(n)| where

f(n) =

The limit is:

(enter oo for infinity if needed)

Based on this, the series

Diverges

Converges

The space would cost at, $833.34 per month.

:: Total area = 1000 square feet

:: Cost per feet per year = $10

Therefore,

Total cost per year would be, equal to the product of total area and cost per unit area per year.

That is,

Total cost per year = 1000 x $10

That is, $10,000.

Now, we know, there are 12 months in an year.

So, cost per month is, ( total cost per year / 12 )

That is, therefore,

Cost per month = ($10,000 / 12)

Which equals to, $833.34 per month. (rounded off)

So,

The space cost at, $833.34 per month.

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The space cost you $833.33. per MONTH

To calculate the monthly cost, we first need to determine the annual cost of the space.

Given that the cost is $10 per square foot per year, we know, there are 12 months in an year and the space is 1,000 square feet, the annual cost of the space would be:

Annual cost = the space  * cost

Annual cost = 1,000 square feet * $10/square foot = $10,000

To convert this to monthly cost, we divide the annual cost by 12 (the number of months in a year):

Monthly cost = $10,000 / 12 = $833.33

Therefore, the monthly cost of the 1,000 square feet of space in the new building would be $833.33.

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An expression equivalent to (5x2 + 3x + 4)-(2x2 + 1)-(7x + 3) using the fewest number of possible terms is calculated to be 3x² - 4x.

We can simplify the given expression by combining like terms. By doing so, we can obtain an equivalent expression with the fewest number of possible terms. In this case, we combine the terms with the same variable and exponent and simplify the constant terms to get the simplified expression of 3x² - 4x.

(5x² + 3x + 4) - (2x² + 1) - (7x + 3)

= 5x² + 3x + 4 - 2x² - 1 - 7x - 3 (distributing the negative sign)

= (5x² - 2x²) + (3x - 7x) + (4 - 1 - 3)

= 3x² - 4x

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5x + 15 = 28

Subtract 15 from both sides:

5x = 13

Divide both sides by 5:

X = 13/5

Answer:

Step-by-step explanation:

refer to the attachment

hope it helps

Therefore,  subscript indices must be either positive integers or logical. True

Explanation: The statement "subscript indices must be either positive integers or logicals" is true. Subscript indices are used to identify elements in an array. A positive integer subscript identifies a particular element in an array, while a logical subscript identifies a subset of elements based on a logical condition. For example, if we have an array A, then A(1) would identify the first element of the array, while A(A > 0) would identify all elements in the array that are greater than zero. Subscript indices cannot be negative or non-integer values.

Therefore,  subscript indices must be either positive integers or logical. True

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To reach $1,830, for an initial investment of $770 at a 6.1% continuously compounded interest rate, it would take approximately 7 years and 8 months.

Continuously compounded interest is a method of calculating interest on a deposit where interest is added to the original deposit as soon as it is earned, and the process is repeated continuously. This means that instead of compounding the interest once or twice a year, as with traditional compound interest, the interest is compounded an infinite number of times in each year.

The formula for continuously compounded interest is:

A = P × \(e^{rt}\)

where A is the Accrued amount, P is the Principal amount, r is the interest rate, t is the time in years.

1,830 = 770 × \(e^{(0.061)(t)}\)

t = ln(1,830/770) / 0.061

t = ln(2.397) / 0.061 = 7.71 years

Therefore it would take about 7.71 years or 7 years and 8 months for the value of the account to reach $1,830.

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A reason not to use a chi-square test of homogeneity to analyze a set of data is if the assumptions of the test are not met. These assumptions include:

1. The data must be categorical, meaning it consists of counts or frequencies in different categories.

2. The sample size must be large enough, with an expected frequency of at least 5 in each cell of the contingency table.

3. The observations must be independent, meaning each data point should not influence the others.

If any of these assumptions are not met, it may not be appropriate to use a chi-square test of homogeneity to analyze the data. Instead, you may need to consider alternative statistical methods that better suit your data and research question.

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Answer:

It increased by 25%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of customers be x.

Annual gross income in terms of the number of customers:

Annual gross income in terms of profit and expenses:

The above two numbers should be equal, this will give us the number of customers:

Correct choice is D

None of the given options (2, 1), (2, 3), (-3, 4), (-2, 4), or (-1, 3) is a vector parallel to the tangent line of the level curve x² + 2y² - 3 at the point (-1, 1).

To find a vector parallel to the tangent line of the level curve x² + 2y² - 3 at the point (-1, 1), we need to find the gradient of the function at that point. The gradient of the function x² + 2y² - 3 is: ∇f(x, y) = <2x, 4y>

At the point (-1, 1), the gradient is: ∇f(-1, 1) = <-2, 4>

This gradient vector is orthogonal to the level curve at the point (-1, 1), and therefore, it is perpendicular to the tangent line of the level curve at that point. Thus, any vector perpendicular to this gradient vector will be parallel to the tangent line of the level curve at the point (-1, 1).

To find a vector perpendicular to <-2, 4>, we can take the cross product of this vector with any other vector in the plane. One such vector is the vector <1, 2>, which is perpendicular to the gradient vector. Therefore, the cross product of these two vectors is:<-2, 4> × <1, 2> = (-8)k, where k is the unit vector in the z-direction (perpendicular to the plane).

Thus, any scalar multiple of (-8)k will be a vector parallel to the tangent line of the level curve at the point (-1, 1). Since k is a unit vector, we can choose any scalar multiple of (-8) as our answer.

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Answer:

68009554368

Step-by-step explanation:

mulitply all the numbers by each other

Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

Answer:

$9000

Step-by-step explanation:

I=?

p=$300

R=5*1/100

T=6

I=P*R*T

$300*5/100*6

=$9000

To reduce the third-order ordinary differential equation y - y" - 4y + 4y = 0 into a companion system of linear equations, we introduce new variables u and v:

Let u = y,

v = y',

w = y".

Taking the derivatives of u, v, and w with respect to the independent variable (let's denote it as x), we have:

du/dx = y' = v,

dv/dx = y" = w,

dw/dx = y"'.

Now we can rewrite the given differential equation in terms of u, v, and w:

u - w - 4u + 4u = 0.

Simplifying the equation, we get:

-3u - w = 0.

This equation can be expressed as a system of first-order linear differential equations as follows:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

Now we have a companion system of linear equations:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

To solve this system completely, we need to find the solutions for u, v, and w. By solving the system of differential equations, we can obtain the solutions for u(x), v(x), and w(x), which will correspond to the solutions for y(x), y'(x), and y"(x), respectively.

The exact solutions for this system of differential equations depend on the initial conditions or boundary conditions that are given. By applying appropriate initial conditions, we can determine the specific solution to the system.

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Answer:

3r^6

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

Step-by-step explanation: