PLEASE HELP ME: Click on the graph to choose the correct answer to the equation.


x - 2y < 0

(Choose one of the graphs from the image as the answer)

Answer:

Step-by-step explanation:

Without Children - 73 - 15 - 88

With Children - 31 - 67 - 98

Total - 104 - 82- 186

The required table for given situation as:

Without Children : 73 Phone + 15 Tablet =  88 Total Device

With Children : 31 Phone + 67 Tablet = 98 Total Device

Total : 104 Total Phone + 82 Total Tablet  = 186 Total

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators.

Without Children : 73 Phone + 15 Tablet =  88 Total Device

With Children : 31 Phone + 67 Tablet = 98 Total Device

Total : 104 Total Phone + 82 Total Tablet  = 186 Total

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p(x)= (x-4)²-(x-6)². ... 4X - 20 = 0 => X = 20/4 => X= 5.

Therefore , the solution of the given problem of equation comes out to be False.

In order to demonstrate consistency between two opposing statements, variable words are frequently used in sophisticated algorithms. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider expression the details as y + 7 offers. In this case, elevating produces b + 7 when partnered with building y + 7.

Here,

False.

The order of operations we use to solve two-step equations is the same order we use to solve every other mathematical statement,

which is commonly recalled by the acronym PEMDAS. (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).

The fundamental distinction is that we are carrying out the operations against the equation's representation. For instance, consider the following equation:

=> 2x + 5 = 11

To get the following result, we would first subtract 5 from both sides, then divide by 2.

=> x = 3

In order to "undo" the operations that were carried out on the variable in the original equation, we are utilising the same series of operations as usual, but in reverse order.

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Answer:

please the answer is the third option

Answer:

B. - x+17/12

Step-by-step explanation:

2x-1/3 - 3x+7/4 cress cross

4(2x-1) + 3(-3x +7)/12

8x-4 - 9x+12/12

-1x + 21-4/12

-x+17/12

Answer:

mn/100

Step-by-step explanation:

m% = m/100

m% of n = m% × n = m/100 × n = mn/100

Answer:

y = -2x + 1

Step-by-step explanation:

Finding the slope
We should take 2 of the given coordinates in the table (For instance, (0, 1) and (1, -1)), and substitute them into the formula for a slope.

\(m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - 1}{1 - 0} = \frac{-2}1 = -2\)

Finding the equation
A line's equation, if given its slope and a point that it passes through on the plane, is given by the formula: \(y - y_1 = m(x - x_1)\)

We found the slope: \(m = -2\), and we are given a few coordinates to pick from. For the sake of simplicity, I'll take (0, 1). [Note: These coordinates represent possible values of \(x_1\) and \(y_1\), where, in this case, \(x_1 = 0\) and \(y_1 = 1\)].

\(y - 1 = -2(x - 0)\\\to y - 1 = -2x\\\to y = -2x + 1\)

The 38th term of the sequence, rounded to the nearest thousandth, is 325.

To find the 38th term of the sequence , we observe that each term is obtained by adding 6 to the previous term. The sequence starts with 9, so we can find the 38th term by repeatedly adding 6.
Starting with 9, we add 6 to get 15 (the second term). Then, we add 6 to 15 to get 21 (the third term). We continue this pattern, adding 6 to each previous term. By repeating this process 37 times, we can find the 38th term.
Adding 6 to 21 gives us 27, then 33, 39, and so on. After performing the addition 37 times, we reach the 38th term, which is 6 times 37 plus 9 (the first term). Simplifying, we get 222 plus 9, which equals 231. Therefore, the 38th term of the sequence is 231. Rounded to the nearest thousandth, the answer is 325.

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Simplifying

3(x + -5) + -4 = 17

Reorder the terms:

3(-5 + x) + -4 = 17

(-5 * 3 + x * 3) + -4 = 17

(-15 + 3x) + -4 = 17

Reorder the terms:

-15 + -4 + 3x = 17

Combine like terms: -15 + -4 = -19

-19 + 3x = 17

Solving

-19 + 3x = 17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '19' to each side of the equation.

-19 + 19 + 3x = 17 + 19

Combine like terms: -19 + 19 = 0

0 + 3x = 17 + 19

3x = 17 + 19

Combine like terms: 17 + 19 = 36

3x = 36

Divide each side by '3'.

x = 12

Simplifying

x = 12

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I took the test and got 100%.

Answer:

1.6

Step-by-step explanation:

you plug it into a calculator

Answer:

B.) 1.6

Step-by-step explanation:

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

a) The center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.

b) We have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.

(a) Deriving the class equation of a finite group G involves partitioning the group into conjugacy classes. Conjugacy classes are sets of elements in the group that are related by conjugation, where two elements a and b are conjugate if there exists an element g in G such that b = gag^(-1).

To derive the class equation, we start by considering the group G and its conjugacy classes. Let [a] denote the conjugacy class containing the element a. The class equation is given by:

|G| = |Z(G)| + ∑ |[a]|

where |G| is the order of the group G, |Z(G)| is the order of the center of G (the set of elements that commute with all other elements in G), and the summation is taken over all distinct conjugacy classes [a].

The center of a group, Z(G), is the set of elements that commute with all other elements in G. It can be written as:

Z(G) = {z in G | gz = zg for all g in G}

The order of Z(G), denoted |Z(G)|, is the number of elements in the center of G.

The conjugacy classes [a] can be determined by finding representatives from each class. A representative of a conjugacy class is an element that cannot be written as a conjugate of any other element in the class. The number of distinct conjugacy classes is equal to the number of distinct representatives.

By finding the center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.

(b) To prove that a Sylow p-subgroup of a finite group G is normal if and only if it is unique, we need to show two implications: if it is normal, then it is unique, and if it is unique, then it is normal.

If a Sylow p-subgroup is normal, then it is unique:

Assume that P is a normal Sylow p-subgroup of G. Let Q be another Sylow p-subgroup of G. Since P is normal, P is a subgroup of the normalizer of P in G, denoted N_G(P). Since Q is also a Sylow p-subgroup, Q is a subgroup of the normalizer of Q in G, denoted N_G(Q). Since the normalizer is a subgroup of G, we have P ⊆ N_G(P) ⊆ G and Q ⊆ N_G(Q) ⊆ G. Since P and Q are both Sylow p-subgroups, they have the same order, which implies |P| = |Q|. However, since P and Q are subgroups of G with the same order and P is normal, P = N_G(P) = Q. Hence, if a Sylow p-subgroup is normal, it is unique.

If a Sylow p-subgroup is unique, then it is normal:

Assume that P is a unique Sylow p-subgroup of G. Let Q be any Sylow p-subgroup of G. Since P is unique, P = Q. Therefore, P is equal to any Sylow p-subgroup of G, including Q. Hence, P is normal.

Therefore, we have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.

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The following ODE y " +4y + 3y = 2e-2 to obtain a general solution of the form y=kiet+ke+ae-2t  the correct answer is 2.

To solve the given ordinary differential equation (ODE)

we can follow these steps:

Find the auxiliary equation.

The auxiliary equation is obtained by replacing the derivatives with the corresponding powers of the variable

Solve the auxiliary equation.

To solve the auxiliary equation, we can factorize it or use the quadratic formula. In this case, factoring the equation gives:

(s+3)(s+1)=0

So the solutions to the auxiliary equation are

The general solution of the homogeneous equation is given by:

The general solution of the ODE is given by the sum of the homogeneous and particular solutions:

Comparing this with the given form of the general solution, we can see that the value of  a obtained is

Therefore, the correct answer is 2.

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Greg's score is 600 points.

Starting with zero points, he gained 400 points, which brings his score to 400. Then, he gained another 200 points, bringing his total score to 400 + 200 = 600 points.

what is points?

In gaming or sports, points refer to the numeric values assigned to different achievements or accomplishments during the game or match. For example, in a basketball game, points are awarded for making a basket or a free throw, and the team with the most points at the end of the game wins. In video games, points are often awarded for completing tasks, defeating enemies, or reaching certain milestones. The total number of points a player has earned is usually used to determine their ranking or score.

what is score?

A score is a numerical value assigned to an achievement or performance in a game, test, or assessment. It is used to measure a person's or team's success or proficiency in a certain activity. In sports, for example, a score is used to determine which team has won a game or match. In academic tests, scores are used to evaluate a student's knowledge and understanding of a subject.

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Answer: Im a banana

Step-by-step explanation:

Therefore, the probability that it will be raining at the end of time is 37.5%.

A) To describe the transition matrix, we can use the following notation: R = It will rain N = It will not rain

Since it is given that if it rained yesterday, then there is a 60% chance of rain today, and if it did not rain yesterday there is an 85% chance of no rain today.

Thus, the transition matrix would be as follows:| P(R/R)  P(N/R)| P(R/N)  P(N/N)| = |0.6  0.4| |0.15  0.85|

B) If it rained Monday, then we need to find the probability that it will rain Wednesday.

We can find this by multiplying the probability of rain on Wednesday given that it rained on Monday and the probability that it rained on Monday.

Thus, the probability of rain on Wednesday, given that it rained on Monday would be:0.6 x 0.6 = 0.36So, there is a 36% chance that it will rain on Wednesday given that it rained on Monday.

C) If it did not rain Friday, then we need to find the probability of rain on Monday. Using Bayes' theorem, we can write: P(R/M) = P(M/R)P(R)/[P(M/R)P(R) + P(M/N)P(N)]where, M = It did not rain Friday= 0.15 (from the transition matrix)P(R) = Probability of rain = 0.6 (given in the problem)P(N) = Probability of no rain = 0.4 (calculated from 1 - P(R))P(M/R) = Probability of it not raining on Friday given that it rained on Thursday = 0.4P(M/N) = Probability of it not raining on Friday given that it did not rain on Thursday = 0.85Substituting these values, we get: P(R/M) = 0.4 x 0.6/[0.4 x 0.6 + 0.85 x 0.4] = 0.31 So, there is a 31% chance of rain on Monday given that it did not rain on Friday.

D) The steady-state vector is the vector that describes the probabilities of being in each of the states in the long run. To find the steady-state vector, we need to solve the following equation: πP = πwhere,π = steady-state vector P = transition matrix Substituting the values from the transition matrix, we get:| π(R)  π(N)| |0.6  0.4| = | π(R)  π(N)| | π(R)  π(N)| |0.15  0.85| | π(R)  π(N)|

Simplifying this, we get the following two equations:π(R) x 0.6 + π(N) x 0.15 = π(R)π(R) x 0.4 + π(N) x 0.85 = π(N) Solving these equations, we get: π(R) = 0.375π(N) = 0.625So, the steady-state vector is:| π(R)  π(N)| = |0.375  0.625|This means that in the long run, there is a 37.5% chance of rain and a 62.5% chance of no rain.

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Answer:

x = 25

Step-by-step explanation:

since b is the midpoint, 2x - 8 = x + 17

2x - 8 + 8 = x + 17 + 8

2x = x + 25

x = 25

AB = 42

BC = 42

AC = 84

Answer:

y=3x+5

Step-by-step explanation:

Slope is rise/run. To find it, you first see how many units it goes up, followed by how many units it goes to the right. If you look at the point (-1, 2), it rises 3 tiles, and runs 1 tile until it hits the next whole number. Because your little formula is rise/run, it would be 3/1, or 3. And to get your y-intercept, it's just when it intersects the y-axis, which is at 5. So, your equation would be y=3x+5

Therefore, when Savannah is 42 feet above the ferris wheel's horizontal diameter, her angle of rotation is approximately 68.6 degrees.

Given by the question.

Let's first draw a diagram to visualize the situation.

      *

    *    *

  *        * <-- Ferris wheel at 3 o'clock position

 *          *

*            * <-- Highest point

*______________*______

      62 ft

The Ferris wheel is a circle with radius 62 feet, and Savannah is sitting in a bucket that moves along the circle. When she is at the highest point, she is 62 feet away from the center of the circle, and when she is on the horizontal diameter, she is 62 feet - 42 feet = 20 feet away from the center of the circle.

To find Savannah's angle of rotation, we can use the cosine function.

cos(theta) = adjacent / hypotenuse

In this case, the adjacent side is 20 feet, and the hypotenuse is 62 feet.

cos(theta) = 20/62

To solve for theta, we need to take the inverse cosine of both sides.

theta = cos^-1(20/62)

Using a calculator, we get:

theta = 68.6 degrees

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Answer:

Step-by-step explanation:

The required inequality x + m ≤ 510, and the distance is 316 miles.

Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.

Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.

Let,

x miles = distance already traveled

m miles = distance miles can travel with remaining gas

510 = max. miles can travel on a full tank

As per the given question,

The inequality will be written as,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

Apply the subtraction operation, and we get

m ≤ 316

Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.

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Answer:

ill just take the points tho

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

4x+3-2x+7=24

We move all terms to the left:

4x+3-2x+7-(24)=0

We add all the numbers together, and all the variables

2x-14=0

We move all terms containing x to the left, all other terms to the right

2x=14

x=14/2

x=7

Answer:

\(\textsf{A)} \quad \left(-\dfrac{1}{2} , 0\right) \textsf{ and } (2, 0)\)

\(\textsf{B)} \quad \left(\dfrac{3}{4},25 \right)\)

C)  see explanation

Step-by-step explanation:

Given function:

\(f(x) =-16x^2 + 24x + 16\)

To find the x-intercepts, set the function to zero, factor and solve for x:

\(\implies f(x)=0\)

\(\implies -16x^2 + 24x + 16=0\)

\(\implies -8(2x^2-3x-2)=0\)

\(\implies 2x^2-3x-2=0\)

\(\implies 2x^2-4x+x-2=0\)

\(\implies 2x(x-2)+1(x-2)=0\)

\(\implies (2x+1)(x-2)=0\)

Therefore:

\(\implies 2x+1=0 \implies x=-\dfrac{1}{2}\)

\(\implies x-2=0 \implies x=2\)

Therefore, the x-intercepts of the graph of f(x) are

\(\left(-\dfrac{1}{2} , 0\right) \textsf{ and } (2, 0)\)

As the leading coefficient is negative, the parabola will open downwards. Therefore, the vertex of the graph of f(x) will be a maximum.

The x-coordinate of the vertex is the midpoint of the x-intercepts:

\(\implies \sf midpoint=\dfrac{2+\left(-\frac{1}{2}\right)}{2}=\dfrac{3}{4}\)

To find the y-coordinate of the vertex, substitute the x-value into the function:

\(\implies f\left(\dfrac{3}{4}\right)=-16\left(\dfrac{3}{4}\right)^2 + 24\left(\dfrac{3}{4}\right) + 16\)

\(\implies f\left(\dfrac{3}{4}\right)=-9+18+16\)

\(\implies f\left(\dfrac{3}{4}\right)=25\)

Therefore, the coordinates of the vertex are:

\(\left(\dfrac{3}{4},25 \right)\)

Find the y-intercept by substituting x = 0 into the function:

\(\implies f(0) =-16(0)^2 + 24(0) + 16=16\)

Therefore, the y-intercept is (0, 16)

To graph f(x)

The axis of symmetry is the x-value of the vertex. Use this to help ensure the curve is symmetrical.

#A

Take y =0

On solving we will get

#B

Find x co ordinate of vertex

Find y

As a is negative vertex is maximum as its facing downwards.

#C

Steps:-

Answer:

90 MPH

Step-by-step explanation:

2700 / 30 = 90

Answer: 141.7 ct

Step-by-step explanation: It's quite easy to notate this. Just move the decimal point two units to the right, and there's your notation!

Answer: 141.7

Step-by-step explanation:

The correct answer is h(t) = 14.25 + 0.25 * sin((π/26) * t)

To model the hours of daylight in a year using a sinusoidal equation, we can consider the average length of daylight, the amplitude of the variation, and the period of the function.

Given:

Summer solstice (longest day) is 14.5 hours

Winter solstice (longest night) is 14 hours

Let's analyze the information:

Average daylight: The average daylight throughout the year would be the average of the summer and winter solstices. It can be calculated as:

Average daylight = (14.5 + 14) / 2 = 14.25 hours

Amplitude: The difference between the average daylight and the longest day or night is the amplitude. In this case, the amplitude is half the difference between the summer and winter solstices. It can be calculated as:

Amplitude = (14.5 - 14) / 2 = 0.25 hours

Period: We are modeling the function over a year, which we'll consider as 52 weeks. Since we want to measure time in weeks (t), the period of the function is 52 weeks.

Putting all the information together, we can write the sinusoidal equation:

h(t) = Average daylight + Amplitude * sin((2π / Period) * t)

Substituting the values we calculated:

h(t) = 14.25 + 0.25 * sin((2π / 52) * t)

Simplifying further, the sinusoidal equation modeling the hours of daylight in a year is:

h(t) = 14.25 + 0.25 * sin(π/26 * t)

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The value of h in the triangle shown above is calculated using proportion as: h = 4.

The two triangles shown are similar to each other based on the Angle-angle (AA) Similarity theorem. This implies that the length of their corresponding pair of sides would be proportional to each other.

Therefore, we have:

8/18 = h/9 [proportional sides of similar triangles]

Cross multiply:

h * 18 = 8 * 9

18h = 72

Divide both sides by 18:

18h/18 = 72/18 [Division property of equality]

h = 4

Therefore, the length of h in the given image is determined as: 4 units.

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Answer:

9x+30

Step-by-step explanation:

because form rule of like and unlike term

Equation that represents the total time t (in minutes) Ken spent running is = 10 + m/6.30.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign = The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time

Total time t (in minutes) =Initial Time + distance/speed

Given :-

Thus,

t = 10 + m/6.30.

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