Sad it's bought 2/5 meter of ribbon and Lolita 3/4 meter of ribbon what is the total length of the ribbon they bought

If f′ is growing, the f graph is concave up on the interval. In the event that f′ is decreasing, the f graph is concave down on the interval. This has been obtained by using the concept of derivatives.

What are derivatives?

In mathematics, a quantity's instantaneous rate of change with respect to another is referred to as its derivative. Investigating the fluctuating nature of an amount is beneficial.

Assume that f is differentiable on interval I.

If f′ is increasing, the f graph is concave up on I. In the event that f′ is decreasing, the f graph is concave downward on I. The graph of f is considered to have no concavity if f′ is constant.

Hence, concave up is when f' is increasing and when it is decreasing, it is concave down.

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We can estimate that each square formed by dividing the rectangle has a side length of approximately 5.57 units.

Let's denote the width of the rectangle as x. Then, according to the problem, the length of the rectangle is twice the width, so its length is 2x. The area of the rectangle is given as 62 square units, so we can write:

Area of rectangle = length x width

62 = 2x * x

62 = 2x^2

Solving for x, we get:

x^2 = 31

x ≈ 5.57

Therefore, the width of the rectangle is approximately 5.57 units, and its length is approximately 2 * 5.57 = 11.14 units.

Now, we are asked to estimate the side length of each square that can be formed by dividing the rectangle into two equal parts. Since the area of each square is half of the area of the rectangle, we can write:

Area of each square = (1/2) × (length × width)

Area of each square = (1/2) × (2x × x)

Area of each square = x^2

Substituting the value of x from above, we get:

Area of each square ≈ 31

The side length of each square ≈ √31 ≈ 5.57

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Step-by-step explanation:

\(tan = \frac{opposite}{adjacent} \)

tan(tetha) = DC/1 ( here 1 bc as they said, an arc circe w/ radius (OB) 1

Answer:

10

Step-by-step explanation:

divide 1800 by 20 and 1800 by 18 and find the difference

a) The sum of m(arc AD) and m(arc BC) is 140°

b) The measurement of ∠ACD is 30°

The six trigonometric functions of an angle in a right-angled triangle are connected by a set of fundamental identities known as the "Circle identities" in trigonometry.

a) We know the circle identities;

In a circle an angle at center (O) always double the angle at its circumference.

then, ∠BOC = 2∠BAC = 2×40° = 80°

it also known as m(arc BC) = 80°

Similarly, for ΔAPB the sum of all angles are 180°

∠ABP + ∠APB + ∠BAP = 180°

∠ABP + 110° + 40° = 180°

∠ABP = 30°

Center angle always double the angle at its circumference,

then, ∠AOD = 2∠ABD = 2×30° = 60°

it also known as m(arc AD) = 60°

Therefore, the sum of m(arc AD) and m(arc BC) is,

m(arc AD) + m(arc BC) = 60° + 80° = 140°

b) Also we know that the angles on the same segment (AD) are always equal:

So, ∠ABD = ∠ACD = 30°

Because the segment AD is same for two angles.

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Answer:

True.

Step-by-step explanation:

\(\frac{(10)-2}{4}=2\\\\\frac{8}{4}=2\\\\2=2\)

Answer:

\(\frac{3}{16}\)

\(4\frac{2}{11}\)

\(\sqrt{5}\)

Step-by-step explanation:

\(\sqrt{5}=2.2360679...\\\\\frac{3}{16}=0.1875\\\\4\frac{2}{11}= \frac{46}{11}=4.18181818...\)

The decimal forms of some real numbers, like \(\frac{3}{16}\), terminate, while the decimal forms of other real numbers, like \(4\frac{2}{11}\), do not terminate, but have a repeating pattern. Still other real numbers, like \(\sqrt{5}\), have decimal forms that neither terminate nor repeat.

Answer:

5/6

Step-by-step explanation:

Answer:

187

Step-by-step explanation:

The coefficient of determination is not the square root of the correlation coefficient.

The coefficient of determination refers to the proportion of the variance in the dependent variable that is accounted for by the independent variable.

It is the square of the correlation coefficient and ranges between 0 and 1, with 0 indicating no correlation, while 1

indicates a perfect correlation.

The coefficient of determination is a measure of how much variation exists between two variables, with a higher value

indicating a stronger relationship between the two variables.

Additionally, the group of answer choices can indicate whether the correlation coefficient is significant, and the

coefficient of determination is not the square root of the correlation coefficient.

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Answer:

2:1____________________________________

The expression that is equivalent to 4⁴·4⁻⁹ is found to be 4⁻⁵. Hence option D is correct.

When multiplying exponential expressions with the same base, you add their exponents.

So, 4⁴⋅4⁻⁹ can be written as:

4⁴⁻⁹ = 4⁻⁵

Now, we know that a negative exponent means taking the reciprocal of the base raised to the positive exponent. Therefore,

4⁻⁵ = 1/4⁵

So, the expression 4⁴⋅4⁻⁹ is equivalent to the fraction 1 over 4 to the power 5. Therefore, the answer is 4⁻⁵.

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Complete question - Which expression is equivalent to 4⁴·4⁻⁹?

A. 4^13

B. 4^5

C. 4^-13

D. 4^-5

Answer:

98 cars

Step-by-step explanation:

Given that:

The first dealership sells

x + y = 164         ------ (1)

The second dealership sells

2x + \(\dfrac{1}{2}\)y = 229    --------(2)

How many cars does the first dealership sell?

Let determine the value of x and y to estimate that.

SO,

x + y = 164         ------ (1)

2x + \(\dfrac{1}{2}\)y = 229    --------(2)

From equation (1)

x = 164 - y

Replacing the value of x = 164 - y into equation (2); we have:

\(2(164-y) + \dfrac{1}{2}y = 229\)

328 - 2y +  \(\dfrac{1}{2}\)y = 229  

328 - 229 = 2y - \(\dfrac{1}{2}\)y

\(99 = \dfrac{3}{2}y\)

\(y = \dfrac{99\times 2}{3}\)

y = 66

Substitute y = 66 into equation (1) to find x

So;

x + y = 164

x + 66 = 164

x = 164 -66

x = 98

SO, if x = cars and y = truncks

The number of cars the first dealership sold = x = 98 cars

Mario got a better deal as he was $20 better off.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the amount paid by each person be x.

Since Mario and his 3 friends attended a professional football game. After parking, tickets, and food, they $240.00, the amount paid by each person will be:

x = 240 / 4

x = 6

Since Mario tells his friends that he got a much better deal last week, paying only $50/person. The difference will be:

= $60 - $50

= $10

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The value of b = -3/2 and c = -5/4

To write the quadratic x² - 3x + 1 in the form (x + b)² + c, we can expand (x + b)² and compare it to the given expression:

(x + b)² = x² + 2bx + b²

Comparing this to the given expression x² - 3x + 1, we see that we need:

2bx = -3x, so b = -3/2

b² + c = 1, so substituting b = -3/2 gives:

(9/4) + c = 1

so c = 1 - 9/4

= 4/4 - 9/4

= -5/4

The quadratic x² - 3x + 1 can be written in the form (x - 3/2)² + ( - 5/4).

Therefore, the value of b = -3/2 and c = -5/4

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Given question is incomplete, the complete question is below

the quadratic x²-3x + 1 can be written in the form (x +b)² + c, where b and c are constants. what is b, c?

Answer:

\(10^{1}\)

Step-by-step explanation:

13 + 9 - 1 - 11

Add 13 and 9 to get 22.

22 - 1 - 11

Subtract 1 from 22 to get 21.

21 - 11

Subtract 11 from 21 to get 10.

10

Answer:

Step-by-step explanation:

Given function is,

f(x) = \(\frac{3x-2}{x-2}\)

Vertical asymptote of the function,

x = 2

Horizontal asymptote of the function,

y = 3

No oblique asymptotes.

Therefore, graph having vertical and horizontal asymptotes as x = 2 and y = 3 will be the correct graph as attached.

The critical point of f at z = 1 is a local minimum.

To find the critical points of the function f(z, 3) = 4z^2 - 8z + 1, we need to find the values of z where the first partial derivatives with respect to z are equal to zero. Let's solve it step by step.

Take the partial derivative of f with respect to z:

∂f/∂z = 8z - 8

Set the derivative equal to zero and solve for z:

8z - 8 = 0

8z = 8

z = 1

The critical point of f occurs when z = 1.

To determine whether the critical point is a local minimum, local maximum, or a saddle point, we can use the second partial derivative test. We need to calculate the second partial derivative ∂²f/∂z² and evaluate it at the critical point (z = 1).

Taking the second partial derivative of f with respect to z:

∂²f/∂z² = 8

Evaluate the second derivative at the critical point:

∂²f/∂z² at z = 1 is 8.

Analyzing the second derivative:

Since the second derivative ∂²f/∂z² = 8 is positive, the critical point (z = 1) corresponds to a local minimum.

Therefore, the critical point of f at z = 1 is a local minimum.

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Answer: its 3 the answer is 3

Step-by-step explanation:

Answer:

c

d

e

Step-by-step explanation:

The true proportion of the side lengths of the quadrilaterals is A'B'/AB

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

Quadrilaterals ABCD and A'B'C'D

These quadrilaterals are similar

So, it means that the corresponding side lengths are proportional

So. we have

Side length = AB

Corresponding side length = A'B'

The true proportion is then represented as

k = Corresponding side length/Side length

Substitute the known values in the above equation, so, we have the following representation

k = A'B'/AB

Hence, the proportion is A'B'/AB

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The expected number of mutual friends Alice and Bob have is 2.5.

In the scenario described, Alice and Bob each have 50 friends out of 1000 people in their town. They believe that the probability of having a mutual friend is low since each of them is only friends with 5% of the population. To calculate the expected number of mutual friends, we can consider it as a matching problem.

Alice's 50 friends can be thought of as a set of 50 randomly selected people out of the 1000, and similarly for Bob's friends. The probability of any given person being a mutual friend of Alice and Bob is the probability that the person is in both Alice's and Bob's set of friends.

Since the selection of friends for Alice and Bob is independent, the probability of a person being a mutual friend is the product of the probability that the person is in Alice's set (5%) and the probability that the person is in Bob's set (5%). Therefore, the expected number of mutual friends is \(0.05 * 0.05 * 1000 = 2.5\).

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The new coordinates for the vertices of the triangle that is obtained by using the vector (2, -5] to slide triangle KLM are (5,3), (9,0), and (6,-4). The distance each vertex slides is √(29) units.

Given: Let K = (3,8), L = (7,5), and M = (4,1).The vector used to slide the triangle is (2,-5).To find: Coordinates for the vertices of the triangle that is obtained by using the vector (2, -5] to slide triangle KLM.

How far does each vertex slide?Solution:Given that K = (3,8), L = (7,5), and M = (4,1)The vector used to slide the triangle is (2,-5).The formula to find the new coordinates after sliding is:New point = Initial point + vector (Used to slide the point)New coordinates for the vertices K, L and M can be found by adding the vector (2,-5) to the coordinates of the vertices K, L and M respectively.

As the vector used to slide the triangle is (2,-5)New Coordinates of K = K + (2,-5) = (3+2, 8-5) = (5,3)New Coordinates of L = L + (2,-5) = (7+2, 5-5) = (9,0)New Coordinates of M = M + (2,-5) = (4+2, 1-5) = (6,-4)

Thus, the new vertices are K (5,3), L (9,0), and M (6,-4).The distance each vertex slides is equal to the magnitude of the vector used to slide that vertex.

Therefore,Distance each vertex slides = Magnitude of the vector.Distance K slides = Magnitude of the vector (2,-5) = √(2²+(-5)²) = √(29) units.Distance L slides = Magnitude of the vector (2,-5) = √(2²+(-5)²) = √(29) units.Distance M slides = Magnitude of the vector (2,-5) = √(2²+(-5)²) = √(29) units.

Hence, the new coordinates for the vertices of the triangle that is obtained by using the vector (2, -5] to slide triangle KLM are (5,3), (9,0), and (6,-4). The distance each vertex slides is √(29) units.

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The elementary row operation \(R_i - R_j\) can be used to manipulate the rows of a matrix and is a fundamental tool in the process of row reduction (also known as Gaussian elimination) for solving systems of linear equations and computing matrix inverses.

A matrix is a rectangular array of numbers or other mathematical objects arranged in rows and columns. Matrices are used in many areas of mathematics, as well as in physics, engineering, and computer science. The dimensions of a matrix are given by the number of rows and columns it contains. For example, a matrix with three rows and two columns is called a 3x2 matrix.

The entries of a matrix can be any mathematical object, but they are usually real or complex numbers. Matrices can be added and multiplied, which leads to many useful operations and applications. Matrix addition and multiplication are defined element-wise, meaning that the corresponding entries of two matrices are added or multiplied. Matrices can also be used to represent transformations of geometric objects, such as rotations, translations, and scaling.

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Complete Question:

Xavier performs the elementary row operation represented by Ri - R, on matrix A.

Answer:

y=-x-11

Step-by-step explanation:

Answer: 2\(\sqrt{2}\)

Step-by-step explanation: First plug in the value, which is \(\sqrt{8}\)

Then divided to 2\(\sqrt{2}\)

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

The probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

To calculate the probability that more than 72% of the sampled UCF students will vote in the presidential election, we need to use the normal distribution approximation since the sample size is large.

First, we find the mean (μ) and standard deviation (σ) of the sampling distribution using the given population proportion (p) of 0.70 and the sample size (n) of 1250:

μ = p = 0.70

σ = √(p(1-p)/n) = √(0.70 * 0.30 / 1250) ≈ 0.012

Next, we need to standardize the desired proportion of more than 72% (0.72) using the z-score formula:

z = (x - μ) / σ

z = (0.72 - 0.70) / 0.012 ≈ 1.67

Now, we can find the probability using the standard normal distribution table or calculator. The probability that more than 72% of the sampled students will vote in the presidential election is the area under the curve to the right of the z-score of 1.67.

Using the standard normal distribution table or calculator, we find that the probability is approximately 0.0475.

Therefore, the probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

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400 gallons of water are used everyday.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Percentage of water used for cleaning= 16.8%

Gallons of water used for cleaning= 67.2

Let the number of gallons used everyday be represented by g. Then,

16.8 % of g = 67.2

16.8/100 × g = 67.2

0.168 × g = 67.2

g= 400 gallons

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