In the figure shown m∠1 = (4x)º, m∠2 = (5x + 10)º, and m∠ABC = 110º. Which of the following equations could be used to find the value of x?

Answer:

-11/9 is the slope

Step-by-step explanation:

Use the formula and u will find this is the answer, hope this helped!

Y2 - Y1 / X2 - X1

(-9 - 2) / (6 - (-3))

<!> Brainliest is appreciated!

Answer:

-11/9

Step-by-step explanation:

In order to find the slope from 2 points, use the following formula: \(m=\frac{y_{2} - y_{1} }{x_{2}-x_{1} }\)

Plug in each of the numbers into their corresponding areas. Basically, we are subtracting the y values together and dividing it with the difference of the x values:

\(\frac{-9-2}{6-(-3)}\)

The negatives cancel out and become postive, so the denominator will then read to be 6+3:

\(\frac{-9-2}{6+3}\)

\(-\frac{11}{9}\)

Answer:

-25

Step-by-step explanation:

-5 times 5 is -25

Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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Answer:

2500 grams

Step-by-step explanation:

Answer:

2.57

Step-by-step explanation:

The mean absolute deviation(MAD) of a data set is given by the formula

\($ MAD =\frac{1}{n} \sum_{i=1}^n |x_i-\bar{x}|$\)

n = number of data set values. Here n=7

\(\bar{x}=\)mean of the data set values   = \((20+16+21+16+22+16+ 15)/7 = 126/7 = 18\)

\(x_{i}\) are the n individual values

Substituting in the summation we get

MAD = \(\frac{1}{7} |20-18| + |16-18| + |21-18| + |16-18| + |22-18| + |16-18| + |15-18|\\= (2 + 2 + 3 + 2 + 4+ 2 + 3)/7\\= 18/7 = 2.571428 \\\)

Rounded to the nearest hundredth, the answer is 2.57

Answer:

Step-by-step explanation:

To find the width, you have to divide the height and length by the volume

$\Pi$ is NP-hard, and since it is also in NP, it is NP-complete.

If $\Pi$ belongs to P and there is a polynomial-time reduction of $\Pi'$ to $\Pi$, then $\Pi'$ also belongs to P.

This is because if we have a polynomial-time reduction from problem $\Pi'$ to problem $\Pi$ and $\Pi$ can be solved in polynomial time,

then $\Pi'$ can also be solved in polynomial time because the reduction takes at most polynomial time.NP is the class of decision problems that can be solved by a non-deterministic Turing machine in polynomial time.

If $\Pi$ belongs to NP, $\Pi'$ is NP-complete, and there exists a polynomial-time reduction of $\Pi'$ to $\Pi$, then $\Pi$ is also NP-complete.

This is because if $\Pi'$ is NP-complete and there exists a polynomial-time reduction from $\Pi'$ to $\Pi$, then any problem in NP can be reduced to $\Pi'$ in polynomial time, and hence to $\Pi$ in polynomial time.

Therefore, $\Pi$ is NP-hard, and since it is also in NP, it is NP-complete.

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The volume of the solid obtained by rotating the region bounded by y = x^2 and y = 6 about the line x = -3 is approximately 481.39 cubic units.


To find the volume of the solid, we can use the method of cylindrical shells. The region bounded by y = x^2 and y = 6 in the first quadrant is a parabolic shape above the x-axis.
To set up the integral for the volume, we consider an infinitesimally small vertical strip of thickness Δx at a distance x from the line x = -3. The height of the strip is given by the difference between the two curves: h = 6 – x^2. The circumference of the cylindrical shell is given by the formula 2πr, where r is the distance between x and the line x = -3, which is r = x + 3.

The volume of the infinitesimal shell is then given by dV = 2π(x + 3)(6 – x^2)Δx. Integrating this expression from x = 0 to x = 3, we obtain the volume V = ∫[0,3] 2π(x + 3)(6 – x^2)dx. Evaluating this integral, we find V ≈ 481.39 cubic units.
In summary, the volume of the solid obtained by rotating the region bounded by y = x^2 and y = 6 about the line x = -3 is approximately 481.39 cubic units.

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Answer:

Figures A and C

Step-by-step explanation:

and then the second question is B

Answer:

This is a function. Use y=mx+b equation

Step-by-step explanation:

To find the x and y values, simply plug in 0.98 to m. For every pound of peaches, you pay $0.98. The equation would be y=0.98x, where x is the number of pounds of peaches and y is the total cost.

Answer:

\(\huge\boxed{\sf 4\ minutes\ 1.5\ seconds}\)

Step-by-step explanation:

3 minutes 59.1 seconds = (3*60) + 59.1 seconds = 180 + 59.1 seconds

=> 239.1 seconds

\(\rule[225]{225}{2}\)

4 minutes 3.8 seconds = (4*60) + 3.8 seconds = 240 + 3.8 seconds

=> 243.8 seconds

\(\rule[225]{225}{2}\)

4 minutes 1.6 seconds = (4*60) + 1.6 seconds = 240 + 1.6 seconds

=> 241.6 seconds

\(\rule[225]{225}{2}\)

Mean = Sum of data / No. of Data

Mean = 239.1 + 243.8 + 241.6 / 3

Mean = 724.5 / 3

Mean = 241.5 seconds

In Minutes and Seconds:

= 241.5 / 60 = 4.025 minutes

= 4 minutes + 0.025 minutes

= 4 minutes + (0.025 * 60) seconds

= 4 minutes 1.5 seconds

\(\rule[225]{225}{2}\)

Hope this helped!

Step-by-step explanation:

15+10z=105

10z=105-15

10z=90

z=9

The required ratio of  is (a + c) : c 11:8.

Given that a:b=1:4 and b:c=3:2.

We can simplify the ratio b:c by multiplying both sides by 4 to get b:c=12:8=3:2.

To find the ratio (a+c):c, we need to express a and c in terms of b. From the first ratio, we have \(a=\frac14 b$\). From the second ratio, we have \(c=\frac{2}{3}b$\). Substituting these values into the expression (a+c):c, we get:

\($$(a+c):c = \left(\frac{1}{4}b + \frac{2}{3}b\right):\frac{2}{3}b$$\)

Simplifying the expression inside the parentheses, we get:

\($\frac{1}{4}b + \frac{2}{3}b = \frac{3b}{12} + \frac{8b}{12} = \frac{11b}{12}$$\)

Therefore, the ratio \($(a+c):c$\) is:

\($(a+c):c = \frac{11b}{12}:\frac{2}{3}b = 11:8$$\)

Hence, the required ratio is 11:8$.

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The conjugate of the complex number z = 2 + 5i is 2 - 5i, and the modulus of z is √29.

Give the conjugate and the modulus of z?

To find the conjugate and modulus of the complex number z = 2 + 5i,

Find the conjugate of z:

The conjugate of a complex number a + bi is the complex number a - bi. In this case, the conjugate of z = 2 + 5i is 2 - 5i.

Find the modulus of z:

The modulus of a complex number a + bi is given by the formula |z| = √(a² + b²). In this case, the modulus of z = 2 + 5i is |z| = √(2² + 5²) = √(4 + 25) = √29.

So, the conjugate of the complex number z = 2 + 5i is 2 - 5i, and the modulus of z is √29.

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It depends on the answer and the number of y

To find the distance from a point to a line in three-dimensional space, we can use the formula that involves vector projections.

For the given point (1, 2, 3) and the line given by r(t) = <-2, 0, 1> + t<2, -1, 1>, we can calculate the distance using this formula. Additionally, to find an of the plane containing the points P(7, 0, -1), Q(0, -4, 3), and R(0, 4, -3), we can use the concept of normal vectors to determine the coefficients of the equation.

1a. To find the distance from the point (1, 2, 3) to the line given by r(t) = <-2, 0, 1> + t<2, -1, 1>, we can use the formula:

Distance = |PQ - projvP|,

where PQ is a vector connecting a point on the line to the given point (1, 2, 3), projvP is the projection of the vector PQ onto the direction vector of the line, and | | denotes the magnitude of a vector. By substituting the values into the formula, we can calculate the distance.

1b. To find an equation of the plane containing the points P(7, 0, -1), Q(0, -4, 3), and R(0, 4, -3), we first need to find two vectors on the plane. One way to do this is to calculate the vectors PQ and PR. Then, we can take the cross product of these vectors to obtain a normal vector of the plane. With the normal vector, we can write the equation of the plane in the form ax + by + cz + d = 0, where a, b, c are the coefficients of the normal vector, and d is determined by substituting the coordinates of one of the given points.

By applying these methods, we can find the distance from a point to a line in three-dimensional space and determine the equation of a plane containing three given points.

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the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Given the system of equations:

1) y = 6x - 11

2) -2x - 3y = -7

Step 1: Solve equation (1) for y.

  y = 6x - 11

Step 2: Substitute the value of y from equation (1) into equation (2).

  -2x - 3(6x - 11) = -7

Step 3: Simplify and solve for x.

  -2x - 18x + 33 = -7

  -20x + 33 = -7

  -20x = -7 - 33

  -20x = -40

  x = (-40)/(-20)

  x = 2

Step 4: Substitute the value of x into equation (1) to find y.

  y = 6(2) - 11

  y = 12 - 11

  y = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.

To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.

Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The remainder when  ƒ(x) = 2x³ – 3x – 2 is divided by x - 4 is 114.

To find the remainder when ƒ(x) is divided by (x - 4), we can use the remainder theorem, which states that the remainder when a polynomial ƒ(x) is divided by (x - a) is equal to ƒ(a).

So, we need to evaluate ƒ(4) to find the remainder when ƒ(x) is divided by (x - 4).

ƒ(x) = 2x³ – 3x – 2

ƒ(4) = 2(4)³ – 3(4) – 2

ƒ(4) = 2(64) – 12 – 2

ƒ(4) = 128 – 14

ƒ(4) = 114

Therefore, the remainder when ƒ(x) is divided by (x - 4) is 114.

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The work done by Francesca is incorrect as the solved final answer and the final answer given in the question don't matches.

As per the given data, we have to determine whether the evaluation made by Francesca is either correct or wrong.

The given expression is \(3(5)^{2} -18 \div3\)

We have to follow the BODMAS rule for evaluating the expressions.

B - Brackets

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

Steps for solving the given expression:

Step 1: Solve for square value in brackets

= 3(25) – 18 ÷ 3

Step 2: Remove the brackets between the terms 3 and 25.

= 75 – 18 ÷ 3

Step 3: Divide the terms 18 and 3.

= 75 - 6

Step 4: Subtract the terms 75 and 6.

= 69.

As the final answer is given in the question and the final answer which we have done are not matching Francesca's work is incorrect.

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The Boolean expression (xy + yz)' can be simplified using Boolean algebra. the Boolean expression (xy + yz)' is equal to x'y' + x'z' + y'z'.

To simplify the Boolean expression (xy + yz)', we can apply De Morgan's laws and distribute the negation operator over the terms inside the parentheses.

De Morgan's laws state that the complement of a logical OR operation is equivalent to the logical AND of the complements of the individual terms, and vice versa.

Applying De Morgan's law to the expression (xy + yz)', we can rewrite it as (xy)'(yz)'.

The complement of xy is x' + y', and the complement of yz is y' + z'.

So, (xy)'(yz)' becomes (x' + y')(y' + z') after applying the complements.

Expanding the expression, we have (x'y' + x'z' + y'y' + y'z').

Simplifying further, we can eliminate the term y'y' (which is equivalent to y').

Thus, the final simplified expression is x'y' + x'z' + y'z'.

Therefore, the Boolean expression (xy + yz)' is equal to x'y' + x'z' + y'z'.

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Given:

The inequality is given as,

The objective is to solve the inequality and plot the graph.

Explanation:

First, the inequality can be solved as,

Answer:

(a) AA Similarity using alternate interior angles

(b) 6.3

Step-by-step explanation:

(a)

Triangles ABD and BDC have a given pair of congruent angles, angles ABD and BCD.

With parallel lines AB and DC and transversal BD, then alternate interior angles ABD and BDC are congruent.

Now we have two pairs of congruent corresponding angles, so by AA Similarity, triangles ABD and BDC are similar.

(b)

Triangles ABD and BDC are similar.

The ratios of the lengths of corresponding sides are equal.

AB/BD = AD/BC

4/6 = 4.2/BC

4BC = 6 × 4.2

BC = 6.3

Answer:

A = 1/2bh

b = 2cm

h will be found using the side of the triangle with Pythagoras theorem

h² + 1² = 4²

h² = 15

h = √15 cm

then,

A = 2*√15

2

A = √15cm²

rand() % 6 expression is most appropriate for randomly choosing a day of the week .

Rand generates random number and This number is produced using an algorithm that, each time it is run, outputs a string of numerical values that seem unrelated.

A % B generates the number less than or equal to the B.

Therefore , for randomly choosing a day of the week we can use  rand() % 6 as there are 7 days in a week and  rand() % 6 returns any number between 0 to 6 as Total 7 days.

The best statement for choosing a day of the week at random is rand()% 6.

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Answer:

x=6

Step-by-step explanation:

x+54+5x=90

6x+54=90

6x=90-54

6x=36

x=36/6

x=6

plz mark as brainiest

Explanation:

Assuming you meant to say

P(A) = 11/20

P(B|A) = 13/20

then,

P(A∩B) = P(A)*P(B|A)

P(A∩B) = (11/20)*(13/20)

P(A∩B) = (11*13)/(20*20)

P(A∩B) = 143/400

Answer:

3/4 pizza is left. If you want an explanation, ask me ;>

Range of function is {5, 4, 3, 2, 1, 0,1} and the function is monotonous.

A function is a mathematical expression that state the relationship between an independent variable and a dependent variable. The value of independent variable is called domain and the value of dependent variable is called range.

given, a function f(x) = √ (x² - 4x +4)

now for every input value of x we will get an output value for f(x).

we select the domain of function as x = {-3, -2, -1, 0, 1, 2, 3}

when we put the x value in the function, we get f(-3) = √[(-3²) - 4×(-3)+4]

                                                                            f(-3) = √25 =5

     similarly, f( -2) = 4

                            f(-1) = 3

                             f(0) = 2

                               f(1) = 1

                            f(2) =0

                           f(3) = 1

the range of function is {5, 4, 3, 2, 1, 0,1}

The range of function indicates that it is neither increasing nor decreasing.

hence the function is a monotonous function.

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Answer:

Step-by-step explanation:

the difference is 3

1 1/2 is equal to 6/2 so the difference would be 3

Answer:5/4

Step-by-step explanation:

I assumed both are mixed numbers