State the smallest possible value of x if x is an integer for the following inequality.
-22
-24
-23

According to the information, the cuboid in the image is missing 3 faces of the following dimensions 1 face of 1 * 4, 1 face of 1 * 3 and 1 face of 3 * 3.

To complete the cuboid we must take into account that there are already three of its faces. Therefore, we must identify which faces are missing. As we know, cuboids are three-dimensional figures that have 6 faces. Another characteristic of non-regular cuboids is that they have pairs of equal faces.

Based on the information above, we can infer that the missing sides of this cuboid have the same dimensions as the existing sides on the graph. Therefore, the following sides would be missing:

Additionally, to know the surface of the area we must count the number of squares that the figure has in total, in this case it would be 38 squares, so the area is 38 units²

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The probability that the point does not land in triangle T is 7/8 or 0.875.

The probability that a randomly placed point inside a rectangle does not land in triangle T. To answer this question, we need to calculate the areas of the rectangle and triangle T and then find the probability.
Let's assume the dimensions of the rectangle are 6 units by 4 units, which gives it an area of 24 square units. For triangle T, it seems to have a base of 3 units and a height of 2 units. Using the formula for the area of a triangle (0.5 * base * height), the area of triangle T is 3 square units.
Now, to find the probability of the point not landing in triangle T, we will first determine the area of the remaining space in the rectangle. This can be found by subtracting the area of triangle T from the total area of the rectangle:
Area of remaining space = Area of rectangle - Area of triangle T
Area of remaining space = 24 square units - 3 square units = 21 square units
Finally, the probability of the point not landing in triangle T is the ratio of the remaining space area to the total rectangle area:
Probability = (Area of remaining space) / (Area of rectangle)
Probability = 21 square units / 24 square units = 7/8
Therefore, the probability that the point does not land in triangle T is 7/8 or 0.875.

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Answer:

salut

Step-by-step explanation:

salut

Answer:

\(\frac{2}{325}\)

Step-by-step explanation:

Assuming you mean simplify \(\frac{4*10^{0} }{6.5*10^{2} }\), first you need to simplify the numerator.

Simplifying the numerator:

\(4*10^{0}=4*1=4\)

This simplifies to 4 because any expression raised to the 0 power is 1.

Simplifying the denominator:

\(6.5*10^{2} =6.5*100=650\)

Dividing the numerator by the denominator:

\(\frac{4}{650} =\frac{2}{325}\)

The given indefinite integral evaluates to ∫(2√2 + #de) = (4/3) (2\(^3^/^2\)) + e + C.

The given indefinite integral is: ∫(2√2 + #de).

We know that the integral of √x is (2/3) x\(^3^/^2\)

The given integral can be re-written as follows: ∫(2√2 + #de) = 2∫√2 #de + ∫#de.

Since the integral of a constant term is just the product of the constant and the variable, the second integral is given by: ∫#de = e + C, where C is the constant of integration.

On the other hand, the first integral can be calculated using the integral of √x, which is given by: (2/3) x\(^3^/^2\)+ C.

Putting this back into the original integral, we have:

∫(2√2 + #de) = 2∫√2 #de + ∫#de

= 2(2/3) (2\(^3^/^2\)) + e + C

= (4/3) (2\(^3^/^2\))) + e + C.

In summary, the given indefinite integral evaluates to ∫(2√2 + #de) = (4/3) (2\(^3^/^2\)) + e + C.

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Answer:

its 90

hope this helped

Step-by-step explanation:

Answer:90

Step-by-step explanation:

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

f(x) = \(\frac{x^2-9x}{x^2-7x-18}\)

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The excluded values are x = - 2, x = 9

Factoring polynomials is breaking them down to the products of other smaller polynomials. Identifying the greatest common divisor (GCF) is an important first step because it will reduce the number of factors in each term and thus make factoring easier. In addition to polynomials, it can be factored by decomposition of the intermediate term or by difference of squares. Then, the Zero Product Property can be applied to solve the equation.

Use the sum-product pattern.

Extract the common factors.

Rewrite factored

Answer:

(x+2)(x+8)

Step-by-step explanation:

two numbers that multiply to 16 and add up to 10 is 2 and 8. You just plug both numbers in this factored form (x+ n1)(x+n2). if you chech the answer by multiplying the binomials, you will find out that the answer is the original question (x^3 +10x+16).

Answer:

11

Step-by-step explanation:

You have to first make the 7 into a fraction (7/1) then keep, change, flip.

You keep the 7/1 as it is, you change the division sign into a multiplication sign, and you flip the 7/11 to 11/7. You then just multiply straight across to get 77/7 which is the same thing as 11/1 which is the same thing as 11!

Final answer:11

Answer:

3

Step-by-step explanation:

Given that:

Weight of shipment = 40 1/2 kg

Weight per bag = 13 1/2 kg

The value of 40 1/2 divided by 13 1/2 will be ;

40 1/2 ÷ 13 1/2

81 /2 ÷ 27 /2

81/2 * 2/27

= 162 /54

= 3

To simplify the expression 5√8 + √3, we can simplify each radical term separately and then combine them.

First, let's simplify the radical terms:

√8 can be simplified as 2√2 because 8 can be factored into 4 * 2, and √4 is equal to 2.

√3 cannot be simplified further since 3 is a prime number.

Now, let's substitute the simplified radical terms back into the expression:

5√8 + √3 becomes 5(2√2) + √3.

Next, we can multiply the coefficients outside the radicals:

5(2√2) is equal to 10√2.

Putting it all together, the simplified expression is:

10√2 + √3.

So, 5√8 + √3 simplifies to 10√2 + √3.

Answer:

1 - Copy and complete this table for y = 2x

x = -3 | y = -6

x = -2 | y = -4

x = -1 | y = -2

x = 0 | y = 0

x = 1 | y = 2

x = 2 | y = 4

x = 3 | y = 6

2 - Copy and complete this table for y = 2x - 3

x = -2 | y = -7

x = -1 | y = -5

x = 0 | y = -3

x = 1 | y = -1

x = 2 | y = 1

x = 3 | y = 3

x = 4 | y = 5

x = 5 | y = 7

y=2x

The way to solve this is plugging in your above x value in for x into the equation y=2x and solving for y.

Example:

y=2x

^You want to find x=-3

y= 2(-3)

y= -6

Your answers:

-6, -2, 0, 4, 6

y=2x -3

Same concept here as above. You are solving for y when you plug in the given x value into the equation.

Your answers:

-5, -3, -1, 3, 5

The correct option is a) $5161.24

To evaluate the expression P(1+rt) with the given values:

P = 1575

r = 0.055

t = 168/365

First, let's calculate rt:

rt = 0.055 * (168/365)

= 0.0252836 (rounded to 7 decimal places)

Now, substitute the values into the expression P(1+rt):

P(1+rt) = 1575 * (1 + 0.0252836)

= 1575 * 1.0252836

= 1615.85846 (rounded to 5 decimal places)

The result is approximately $1615.86.

Therefore, the correct option is a) $5161.24

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Answer:

It shoud be D) Rotate 90° clockwise about the origin and then translate 1 unit right and 5 units up.

If I'm wrong let me know

Answer:

6 aduts and 5 kids

Step-by-step explanation:

$20 for the kids in total and $54 for the adults

Answer:

v=13

Step-by-step explanation:

3(13) = 39+11 = 50

Answer:

Our main goal is to isolate the variable here (v).

And if we want to solve this equation,

we must utilize inverse operations.

Given that:-

3v + 11 = 50

We always first get rid of the constants.

And in this case, 11 is our constant.

So the inverse operation of addition is subtraction (because 11 is being added)

-11        -11

3v = 39

Now, we are left with a co-efficient.

To isolate v, we must apply the inverse operation of multiplication which is division (because 3 and 'v' are being multiplied).

/3     /3

V = 13

Answer:

Answer as a fraction. Do not include spaces in your answer.

1st question

-31/15

2nd question

19/40

3rd = Answer as a decimal with four decimal places

0.8333…

4th = fraction

5th =rational

6th =rational

Step-by-step explanation:

edge 2021

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression can be reduced to 0.8333.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be written as shown below,

\(2.5 \times 0.\bar3\)

= (25/10) × (1/3)

= 25/30

= 5/6

= 0.8333....

Hence, the given expression can be reduced to 0.8333.

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Answer:

27/4 or 6 3/4

Step-by-step explanation:

Change all mixed numbers into improper fractions

2 1/9 = 19/9

6 1/4 = 25/4

19/9 ÷ 2/3 - 25/4 x 2/5

dividing fractions you can multiply and use reciprocal of the fraction (means you switch the top and bottom numbers)

19/9 x 3/2 - 25/4 x 2/5

you can reduce the top and bottom numbers to make them smaller by dividing. find a common number to divide them by, you can cross out the numbers and just put the new equation below

19/3 x 1/2 - 5/4 x 2/1

multiply across the fractions first PEMDAS, then subtract

19/6 - 10/4 (multiply by 2 and 3 respectively to get both bottom numbers the same, multiply by the same number on top)

57/12 - 30/12 = 27/12

1/5 x 1/3 + 2/5 x 2/3

1/15 + 4/15 = 5/15 or 1/3

27/12 / 1/3

you can multiply the fractions and flip the top and bottom numbers of 1/3

27/12 x 3/1

reduce 12 and 3

27/4 x 1/1 = 27/4 or 6 3/4

The solution to the system of equation is (14, 6)

1 / 2 x = 10 - 1 / 2 y

8 = x -y

Therefore, let's combine the equation.

1 / 2 x + 1 / 2 y = 10

x - y = 8

x + y = 20

x - y = 8

2y = 12

y = 12 / 2

y = 6

x = 20 - 6

x = 14

Therefore, the solution of the system of equation is (14, 6)

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To determine if a differential form is exact, we need to check if its partial derivatives satisfy the condition of equality. If the differential form is not exact, we can multiply it by an integrating factor to make it exact.

Given a differential form of the form M(x, y)dx + N(x, y)dy, we can determine if it is exact by checking if ∂M/∂y = ∂N/∂x. If this condition is not satisfied, the differential form is not exact. However, we can multiply the differential form by an integrating factor to make it exact.

By multiplying the original differential form by an integrating factor, which is usually a function of either x or y, the resulting form will have equal partial derivatives, satisfying the condition for exactness. The integrating factor effectively "corrects" the form and makes it exact.

By finding the appropriate integrating factor and multiplying it with the given differential form, we can transform it into an exact form. This process is a fundamental technique in solving certain types of differential equations and allows us to find solutions that would otherwise be challenging to obtain.

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The given sequence -1, -2, -6, -24 is not arithmetic.

An arithmetic sequence is a sequence where the difference between any pair of consecutive terms is a constant knowed as the common difference, and if d is that common difference, we can write the recursive formula as:

f(n) = f(n - 1) + d

Here we have the sequence:

-1, -2, -6, -24

Taking the differences we will get:

-2 - (-1) = -1

-6 - (-2) = -4

-24 - (-6) = -18

The differences are different, thus, this is not an arithmetic sequence.

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This problem requires optimization over a closed interval.

To find a positive number x such that the sum of 4x and \(x^2\) is as small as possible, we need to minimize the objective function \(4x + x^2.\)

Since we are looking for a positive number, the interval of interest is [0, ∞), which is a closed interval because it includes its endpoints.

In optimization problems, a closed interval is used when we want to consider all possible values within a given range, including the endpoints.

In this case, we want to explore all positive values of x starting from 0, which is the lower bound of the closed interval [0, ∞).

By finding the minimum value of the objective function within this closed interval, we can determine the value of x that minimizes the sum of 4x and \(x^2\).

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a) The Venn diagram to illustrate this information is given in the image attached.

b.)

iii.)  12 children took only Plantain and beans.

iv) 14 children None of the three items​

A Venn diagram is described as  mathematical or logical sets pictorially as circles or closed curves within an enclosing rectangle (the universal set), common elements of the sets being represented by intersections of the circles.

Let  beans = a

Rice = b

Plantain = P

a + b = 24 - 9 - 5 = 10

b + c = 18 -2 - 5 = 11

a + c = 21 - 3 - 5 = 13

The number of children who took plantain and beans only are:

P∩B = a + 5

= 6 + 5 = 11

R ∩ B = C + 5

=7 + 5 = 12

The number of children who took none of the three items of food =  

50 - (3 + 2 + 9 + 6 + 4 + 7 + 5)

= 50 - 36

=14

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Using the proportions in the table, is the sample proportion an unbiased estimator: B. Yes, the mean of the sample proportions is 0.6, which is the same as the population proportion.

In Mathematics, a sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mean of sample proportions = x/n

Mean of sample proportions = (0 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 1 + 1 + 1)/10

Mean of sample proportions = 6/10 = 0.6

Based on the proportions provided in the table, we can logically deduce that the sample proportion is an unbiased estimator because the mean of the sample proportions is 0.6, which is the same as the population proportion.

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Answer:

Ummm, show us the document

Step-by-step explanation:

Answer:

x = 98

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 53 + 45 = 98

Step-by-step explanation:

inversely means

y = k/x

therefore

30 = k/4

120 = k

y = 120/10 = 12

FYI :

directly would mean

y = kx

The value of y will be 12 when x is equal to 10.

The relationship between two variables known as "inverse variation" occurs when the value of one variable increases while the value of the other variable decreases.

Given that, y varies inversely with x.

Here, y∝1/x

y=k/x

xy=k

When x is 4, y is equal to 30, we get

k=4×30

k=120

When x=10, we get

10y=120

y=12

Therefore, the value of y will be 12 when x is equal to 10.

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Answer:

D) -6

Step-by-step explanation:

• solve x + 56+40= 90 90 because the triangle is a 90 degrees angle

• x+96=90

-96. -96

x=-6

Answer: m = 129 degrees

Step-by-step explanation:

A Hexagon has 720 degrees in total

Subtract all the known angles

720 - 90 - 90 - 146 - 130 - 135 = m

m = 129 degrees

Answer:

m = 129°

Step-by-step explanation:

  Find the sum of angles of the polygon using the formula,

         Sum of angles of polygon = (n - 2)*180

n is the number of sides. n = 6

                                                      = ( 6- 2) *180

                                                      = 4*180

                                                      = 720°

    Sum of the angles of given polygon = 720

            90 + 146 + 90 + 135 + m + 130   = 720

                                               m + 591    = 720

                                                           m  = 720 - 591

                                                           m = 129°

Empirical, A knowledge of statistics is essential for anyone who wants to make informed decisions based on empirical evidence.

A knowledge of statistics helps us make decisions based on empirical evidence. Empirical evidence is data that has been collected through observation and experimentation, and statistics is a method for analyzing and interpreting this data. By using statistical tools and techniques, we can draw conclusions from empirical evidence and make informed decisions based on this information.

Statistics plays a crucial role in modern society, from medicine and public policy to business and finance. A knowledge of statistics enables individuals to understand and analyze data, to make informed decisions based on empirical evidence, and to communicate findings to others. Statistics helps us to quantify uncertainty and variability, to identify patterns and trends, and to make predictions based on past data. By using statistical methods, we can determine the probability of certain outcomes, assess risks and benefits, and evaluate the effectiveness of interventions or policies. For example, in medical research, statistics is used to test the effectiveness of new treatments or therapies, to determine the safety of drugs, and to identify risk factors for diseases. In public policy, statistics is used to analyze demographic trends, to assess the impact of social programs, and to inform decision-making around issues such as climate change or public health.

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