what is a solution of the inequality shown below? -8 + c ≤ -2​

Answer:

D

Step-by-step explanation:

simplify:

3x+9>x+33

2x>24

x>12

now see the graphs, and B and D both are marked with 12

but D has no filled circle, so that is the right answer

I hope this helped, and if my answer was right, please mark this as brainliest! Thank you!

Answer:

The slope of the line would be 3/4

Step-by-step explanation:

When you put the coordinates in the point-slope formula, it would be 4 - (-2) over 7 - (-1). The answer would then be 6/8 but if simplified, the answer would then be 3/4.

the exact formula for X(n) is given by the sum of i from 1 to 4n + 1. The closed-form formula for X(n) is (4n + 1)(4n + 2)/2, expressed as a polynomial function. The asymptotic value of X(n) is approximately 4n^2, representing the growth rate as n approaches infinity.

(i) The exact formula for X(n) can be determined by analyzing the procedure PrintXs(n) and counting the number of times the letter "X" is printed. In this case, the outer loop runs for 4n + 1 iterations, and for each iteration, the inner loop runs i times. Thus, the total number of "X" letters printed is given by the sum of i from 1 to 4n + 1.

(ii) To express X(n) as a closed-form polynomial function, we can simplify the sum mentioned above. By using the formula for the sum of an arithmetic series, the closed-form formula for X(n) can be written as X(n) = (4n + 1)(4n + 2)/2.

(iii) The asymptotic value of X(n) can be expressed using the e-notation, which represents an estimate of the growth rate. In this case, as n approaches infinity, the dominant term in the expression (4n + 1)(4n + 2)/2 is 4n^2. Therefore, we can express the asymptotic value of X(n) as X(n) ~ 4n^2.

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Answer:

15.1416 liters

Step-by-step explanation:

I just looked at my table and it said how many liters then I measured it

Answer:

This is equal to 15.142 liters

Answer:

2 cos (x + pi/2)

Step-by-step explanation:

Of the choices given, this looks like a cos curve that is shifted to the Left by pi / 2  and   multiplied to give an amplitude of 2

Therefore , the solution of the given problem of angle comes out to be ∠1 ≅ ∠4, and ∠3 ≅ ∠5 are different interior angles they are congruent.

The circular lines that make up a skew's extremities are divided using Cartesian coordinates by the walls at the top and bottom. A junction point may result from the convergence of two beams. Angle is another outcome of two things colliding. They mirror dihedral shapes the most. A two-dimensional curve can be created by arranging two line beams in various ways at their extremities.

Here,

The right response is:

=> C. The following are true: ∠1 ≅ ∠4, and ∠3 ≅ ∠5.

Alternate Interior Angles Theorem is the cause.

This is due to the Alternate Interior Angles Theorem, which asserts that the alternate interior angles are congruent if a transversal intersects two parallel lines.

As can be seen, in this instance, ∠1 ≅ ∠4, and ∠3 ≅ ∠5 are different interior angles, and as such, they are congruent.

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Answer:

x=0

Step-by-step explanation:

if something + 1 is 1, that means that 'something' has to be 0, and to make 2x 0, x has to be 0

Answer:

x = 0

Step-by-step explanation:

I hope this is correct and that this answer helps you.

How I got the answer:

2 x 0 = 0

0 + 1 = 1

The area of the considered 3 triangles is given by: Option B: 13 sq. units.

Suppose the vertices of the considered triangle ABC are on \(A(A_x,A_y), B(B_x,B_y), C(C_x,C_y)\), then, the area of the triangle is given by:

\(Area = \dfrac{|A_x(B_y-C_y) + B_x(C_y-A_y) + C_x(A_y-B_y)|}{2}\)

For this case, the missing image is attached below.

The second and third triangle are easy as their base and height are parallel to x or y axis.

We will find area of third triangle by coordinates of its vertices.

Getting area of first triangle:

Thus, we get:

\(Area_{ABC} = \dfrac{|4(7-8) + 5(8-10) + 7(10-7)|}{2} = \dfrac{7}{2} = 3.5 \: \rm unit^2\)

Area of second triangle = \(\dfrac{|RS| \times h}{2}\)base, and h is the perpendicular line connecting from line RS and the vertex T

From figure we see:

|RS| = 3 units, h = 3 units

Thus, area of second triangle = \(3 \times 3 /2 = 4.5 \: \rm unit^2\)

Area of third triangle = \(\dfrac{|XY| \times h}{2}\) where XY is base, and h is the perpendicular line connecting from line XY and the vertex Z

From figure we see:

|XY| = 5 units, h = 2 units

Thus, Area of third triangle = \(5 \times 2 /2 = 5 \: \rm unit^2\)

Total area = 3.5 + 4.5 + 5  = 13 sq. units

Thus, the area of the considered 3 triangles is given by: Option B: 13 sq. units.

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Answer:

13

Step-by-step explanation:

The statement "the sum of the percent frequencies for all classes in a frequency distribution will always equal" is True.

The sum of the percent frequencies for all classes in a frequency distribution will always equal 100%. This is because the percent frequency for each class is calculated by dividing the frequency of that class by the total number of observations and then multiplying by 100. Therefore, when we add up all the percent frequencies for all the classes, we get the total percentage of observations, which must be 100%.

In a frequency distribution, percent frequencies are calculated by dividing the frequency of each class by the total number of observations and then multiplying by 100. Since all observations are accounted for in the distribution, the sum of the percent frequencies for all classes will always equal 100%.

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To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.

The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.

The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.

They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.

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Step-by-step explanation:

t8d0dt80dtidt8cyxyyx9uf0

Answer:

Approximately 0.51

Step-by-step explanation:

If events A and B are independent, then P(A and B) = P(A)*P(B) is a true equation.

We're given the following

     P(A) = 0.65

     P(A and B) = 0.33

So,

P(A and B) = P(A)*P(B)

0.33 = 0.65*P(B)

P(B) = 0.33/0.65

P(B) = 0.5076923076923

which is approximate. When we round to 2 decimal places, we get 0.51

B. the special rule of multiplication.

The joint probability of two independent events is computed using the special rule of multiplication.

When two events are independent, their joint probability is calculated using the special rule of multiplication.

This rule states that the probability of both events occurring together is equal to the product of their individual probabilities. In other words, if A and B are two independent events, then the probability of A and B occurring together is equal to the probability of A multiplied by the probability of B.

For example, if the probability of event A is 0.4 and the probability of event B is 0.5, then the probability of both events occurring together is 0.4 x 0.5 = 0.2.

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Answer:

the answe is X= 14/ A :)

explanation: I took the exam review good luck!

Answer:

It is A

Step-by-step explanation:

edge 2022

{00,01} is pairwise distinguishable by REP2. Any DFA recognizing REP2 must have at least four states. Every DFA recognizing REP k requires at least 2 k states. NFA recognizing REP k requires at least k states.

a) Distinguishing set method is an approach in computer science for finding the smallest deterministic finite automation (DFA) recognizing a given formal language.

Let REP 2 ={ww∣w∈{0,1}2}.

Given S={00,01,10,11},

show that S is pairwise distinguishable by REP 2.

Therefore, for each pair x, y∈S, a string z exists such that exactly one of xz and yz is in REP 2.

Let x, y∈S. Suppose that x≠y. We may assume, without loss of generality, that x=00 and y=01.

Let z=1. Then 00z=001∉REP2, while 01z=011∈REP2.

Hence, {00,01} is pairwise distinguishable by REP2.

Using a similar argument, one can show that each of the other three pairs in S is pairwise distinguishable by REP2.

b) To recognize REP2, a DFA with at least four states is required, since S has four elements, each of which must be distinguished from the others. Since S is pairwise distinguishable by REP2, any DFA that recognizes REP2 must also distinguish S. Therefore, any DFA recognizing REP2 must have at least four states.

c) Let k≥1, REPk={ww∣w∈{0,1}k}. Let A be a DFA recognizing REPk.

For all w∈{0,1}k, define q w =δ(q 0 ,w).

Since REPk is regular, there must be a path from the start state to an accepting state of A that spells each string w∈{0,1}k. But the state sequence from the start state to q w spells w twice, since ww∈REPk.

Therefore, if x≠y, then qx≠qy, since otherwise, either A would accept xw twice or A would accept yw twice. Since there are 2k strings of length k, A has at least 2k distinct states.

d) Suppose that N is an NFA recognizing REPk. Let w∈{0,1}k. Consider the sequence of states that N enters when it processes w, and let S be the set of distinct states in this sequence. Since |S|≤k, some state must be repeated in the sequence, say q i =q j

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Solution

We will consider each and every statement and the translate what it mean appropriately

Horizontally translate 4 units left

That means

The option to choose is

Vertically translate 2 units down

That basically mean is to subtract 2

That is

Shrunk vertically by one half

That is

The image below shows what to select

Answer:

CE

Step-by-step explanation:

The smallest side is opposite the smallest angle.

Answer:

3ax−11a−9x

Step-by-step explanation:

3ax+4a−(9x+15a)

Distribute the Negative Sign:

=3ax+4a+−1(9x+15a)

=3ax+4a+−1(9x)+−1(15a)

=3ax+4a+−9x+−15a

Combine Like Terms:

=3ax+4a+−9x+−15a

=(3ax)+(4a+−15a)+(−9x)

=3ax+−11a+−9x

=======================================================

Reason:

The first marble was replaced, so the original state of the bag hasn't changed overall. The probability isn't changed either. We can treat the second selection entirely independent of the first one.

If the first marble wasn't replaced, then the marble count of course goes down by 1. That affects the probability of the second selection and we'd consider these events to be dependent.

---------

An example:

Consider a bag with 4 red marbles and 6 green ones. The chances of picking red on the first try are 4/10 = 2/5. The chances of picking red again would be 2/5 assuming we put that red marble back. We can see the second selection is independent of the first.

If the marble wasn't put back, then the chances of picking a 2nd red marble would be 3/9 = 1/3. I subtracted 1 from the numerator and denominator of 4/10 to get to 3/9. In this case, the 2nd selection's probability depends on the first event (whether red was picked or not).

The different solutions to the surface area and volume of the cylinders are:

a) h₁ = 14 m

b) V₁ = 686 m³

c) S₁ = 294 m²

The formula for the surface area of a cylinder is:

S.A = 2πr(r + h)

The formula for volume of a cylinder is:

V = πr²h

a) The height of cylinder on the left is 16m,

To determine the height on the right, for similar cylinders we know that:

r₂/r₁ = h₂/h₁

Thus:

4/3.5 = 16/h₁

h₁ = (16 * 3.5)/4

h₁ = 14 m

b) The volume of cylinder on left is 1024 cubic m.

To determine the volume of cylinder on right.

V₂/V₁ = r₂³/r₁³

Thus:

1024/V₁ = 4³/3.5³

V₁ = 686 m³

c) The surface area of cylinder on left is 384 sq.m.

To determine the surface area of cylinder on right.

S₂/S₁ = r₂²/r₁²

384/S₁ = 4²/3.5²

S₁ = 294 m²

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The statistical test that compares the distribution of mean differences between two groups to the mean difference between two groups is independent-sample t test.

Given that,

We have to find the statistical test that compares the distribution of mean differences between two groups to the mean difference between two groups.

We know that,

The independent Samples t take a look at analyzes the manner of two separate organizations to see if there's statistical guide that the populace imply values are statistically extensively distinctive. A parametric take a look at is the unbiased Samples t take a look at.

since, the two agencies are independent and we're checking if difference is good sized is independent-samples t test.

consequently, the statistical test that compares the distribution of imply differences between two companies to the imply difference among  corporations is unbiased-pattern t check.

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Answer:

x=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

-6 + x/4 = -5

-6+6 + x/4 = -5+6

x/4 = 1

x/4 *4 = 1*4

x = 4

hope this helped :)

Answer:

Explanation:

reflected across the x-axis: the y is negative (2 eliminated)

vertically stretched by a factor of 2 (they're all stretched by a factor of 2)

translated left 3 units (1 eliminated)

translated down 5 units (4 eliminated)

3 is left which is y = -2√(x+3) - 5

The distance from the house you should place the base of the ladder is approximately 5.18 feet from the house.

To find the distance from the house to place the base of the ladder, we can use the trigonometric function cosine. Cosine is defined as the ratio of the adjacent side to the hypotenuse in a right triangle.

In this case, the hypotenuse is the height of the ladder, which is 20 feet. The angle we want to use is 75 degrees, and we want to find the adjacent side, which is the distance from the house to the ladder. So we can set up the equation:

cos(75°) = (base of the ladder) / (length of the ladder)

cos(75°) = base / 20 feet

Now, we can solve for the base:

base = 20 feet * cos(75°)
base ≈ 20 feet * 0.25882
base ≈ 5.18 feet

So, you should place the base of the 20-foot ladder approximately 5.18 feet from the house, rounding to the hundredths.

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We can see that the coefficients of the expanded expression match the terms of the 5th row of Pascal's triangle.

To evaluate the given expression, we need to use Pascal's triangle to expand the expression (b+c)^4. The coefficients of the expanded expression will be the terms of the 5th row of Pascal's triangle.

Using the formula for the coefficients of the expanded expression, we get:

4(b)(c)^3 + 6(b)^2(c)^2 + 4(b)^3(c) + (b)^4

Comparing this expression to the 5th row of Pascal's triangle, we see that the coefficients are:

1 4 6 4 1

We can rearrange the terms to match the expanded expression:

(b)^4 + 4(b)^3(c) + 6(b)^2(c)^2 + 4(b)(c)^3 + (c)^4

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