In the figure if angle A = (3x + 2)° , angle B = (x - 3)° , angle ACD = 127°, then the measure of angle B =​

The  difference between addition and subtraction of polynomials is that addition involves like terms  and subtraction  involves taking one polynomial away from another.

A polynomial is characterized as an expression that is composed of variables, exponents, and constants, that are combined utilizing numerical operations such as addition, subtraction, multiplication, and division (No division operation by a variable).In addition to polynomials, the like terms are included whereas, in subtraction, the like terms are subtracted. The addition of polynomials involves combining like terms to form a single expression, while subtraction involves taking one polynomial away from another. In addition, when subtracting polynomials, the sign of each term in the second polynomial needs to be changed (from positive to negative, or from negative to positive).

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The statement is true. A confidence interval is a statistical range that is used to estimate the unknown population parameter with a positive stage of confidence primarily based on the information accumulated from a pattern of data.

Inside the case of a share, a confidence interval presents a number potential values for the populace percentage, given the pattern share and the sample size, along with the selected stage of confidence.

For instance, if a pattern of 500 people is taken from a population to estimate the percentage of individuals who assist a particular political party, and the pattern share is observed to be 0.6, a 95% confidence interval could offer a number of values among 0.56 and 0.64 as possible values for the population percentage. This variety suggests that we're 95% confident that the actual population share lies within this interval.

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a. The equation in polar form is rcosθ + rsinθ = 2

b. The cartesian coordinates is xcosθ + ysinθ = -4sinθ

a. To write the equation x + y = 2 in polar form, we can use the conversions between Cartesian and polar coordinates.

In Cartesian coordinates, we have x = rcosθ and y = rsinθ, where r represents the distance from the origin and θ represents the angle with respect to the positive x-axis.

Substituting these values into the equation x + y = 2, we get:

rcosθ + rsinθ = 2

This is the equation in polar form.

b. The equation r = -4sinθ is already in polar form, where r represents the distance from the origin and θ represents the angle with respect to the positive x-axis.

To convert this equation to Cartesian coordinates, we can use the conversions between polar and Cartesian coordinates:

x = rcosθ and y = rsinθ.

Substituting these values into the equation r = -4sinθ, we get:

xcosθ + ysinθ = -4sinθ

This is the equation in Cartesian coordinates.

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We know the initial population is 4

The growth rate is .35

P1 = P0 + P0*.35 = P0(1+.35)

P1 = 4 + 4(.35) = 4( 1+.35) = 4(1.35) = 5.4

P2 = P1 + P1* .35 = P1 ( 1+.35) =

5.4( 1.35) =7.29

Notice that we are multiplying the previous term by 1.35 each time

We can rewrite P2

P2 = P1 ( 1.35) =

Replacing P1 with P0(1.35)

P2 = P0(1.35) ( 1.35)

P2 = P0 ( 1.35) ^2

The general formula is

Pn = P0 ( 1.35) ^n

P11 = P0 (1.35) ^11

= 4 ( 1.35) ^11

= 108.5754017

to find the sum of the give equation is to add both equations

so,

4x^2 + x - 4

+

2x^2 - 6x + 2

=

6x^2 - 5x - 2

therefore the correct answer is option A. 6x^2 - 5x - 2

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Billy's health score go down  by 75% if his sugar resources are quadrupled

Let the amount of sugar in Billy's kitchen be denoted by S and the number of cookies he can bake be denoted by C. Let his health score be denoted by H. Then we have the following relationships:

C ∝ S (directly proportional)

C ∝ 1/H (inversely proportional)

Combining these two relationships, we get:

C ∝ S/H

If S is quadrupled, then C will also quadruple according to the first relationship. However, H will decrease by some percentage x according to the second relationship. To find x, we can use the fact that C is proportional to S/H:

C = k*S/H

where k is a constant of proportionality. If S is quadrupled, then C will also quadruple, so we have:

4C = k4S/H

C = kS/(H/4)

This tells us that if S is quadrupled, then C will be divided by H/4. In other words, C/H will be divided by 4. So, the percentage decrease in H can be found as follows:

C/H → (C/H)/4 = (S/H)/(4/k) → x = 100%*(1 - 1/4) = 75%

Therefore, if Billy's sugar resources are quadrupled, his health score will go down by 75%.

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The new length is 35+10=45 and the new width is 18+10=28.

What is scaling ?

It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.

Given that enclosure at the zoo is 35 feet long by 18 feet wide. It means length is 35 feet and width is 18 feet.

Area of rectangle is length times of breadth.

Area of Rectangle=Length × Width

=35×18

=630

The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.

(35+x)×(18+x)=1260

630+35x+18x+x²=1260

x²+53x+630-1260=0

x²+53x-630

Now use the quadratic formula we get

x = 10.

The new length is 35+10 = 45

The new width is 18+10 = 28.

Hence the new length is 35+10 = 45 and the new width is 18+10=28.

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Jumbo gumballs that will fit in the machine = 1000.497

To know how many gumballs will fit in the machine, the volume of the minature and the machine should be calculated.

Volume of sphere

V = (4/3) pi* r^3

Volume of the machine r = 6 in

V = (4/3) pi* (6)^3 = 904.77 in³

Volume of the miniature gumballs

V = (4/3) pi* (0.6)^3 = 0.90432 in³

Divide the two volume to get the number of gumballs that can fill the machine

904.77 in³/ 0.90432 in³ =1000.497

Therefore, jumbo gumballs will fit in the machine = 1000.497

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Answer:

29

Step-by-step explanation:

just substitute x with 4 in the equation :)

Answer:

The equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

Step-by-step explanation:

Given the points

Finding the slope between (-5, 10) and (5, -10)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-5,\:10\right),\:\left(x_2,\:y_2\right)=\left(5,\:-10\right)\)

\(m=\frac{-10-10}{5-\left(-5\right)}\)

\(m=-2\)

Using the point-slope form to determine the line equation

Point slope form:

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (-5, 10)

\(y-10=-2\left(x-\left(-5\right)\right)\)

\(y-10=-2\left(x+5\right)\)

Add 10 to both sides

\(y-10+10=-2\left(x+5\right)+10\)

simplify

\(y=-2x\)

Thus, the equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.

Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.

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Answer:

-29.4

i was told trust me ig?

The average rate of change in m/s of the height of the rock between 2 and 4 seconds is -4.9.

The average is defined as the mean value of the given data which is equal to the ratio of the sum of the data value to the total number of units present in the data.

Average = the sum of the data value / the total number of units

The rock's height from the ground in meters, h(t), is modeled by the formula h(t) = -4.9ť + 100,

where t is the time in seconds.

At t = 2 seconds

h(t) = -4.9ť + 100

h(t) = -4.9(2) + 100

     = 90.2

At t = 4 seconds

h(t) = -4.9ť + 100

h(t) = -4.9(4) + 100

     = 80.4

The average rate of change in m/s of the height of the rock is between 2 and 4 seconds

              = 80.4 - 90.2 / 2

              = - 4.9

Thus, the correct option is A.

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Answer:

One zero can be cancel out from both the numerator and denominator of \(250\) ÷ \(100\)

Step-by-step explanation:

\(25\) ÷ \(10\) \(=\frac{25}{10}=\frac{5}{2}\)

\(250\) ÷ \(100\) \(=\frac{250}{100}=\frac{5}{2}\)

Therefore,

\(25\) ÷ \(10\) \(=\) \(250\) ÷ \(100\)

Here, 25 ÷ 10 and 250 ÷ 100 give the same answer.

Here, one zero can be cancel out from both the numerator and denominator of \(250\) ÷ \(100\)

Answer:

X=20 degree

Step-by-step explanation:

∆A+∆D+∆O=180

2x+10+2x+90=180

collect like terms

2x+2x=180-100

4x=80

(4x)/4=(80)/4

x=20 degree

Answer:

\(angles \: of \: triangle \: add \: up \: to \: {180}^{0} \\ {(2x + 10})^{0} + {(2x)}^{0} + {90}^{0} = {180}^{0} \\ 4x = {(180 - 90 - 10)}^{0} \\ 4x = {80}^{0} \\ x = {20}^{0} \)

Answer:

A B

Step-by-step explanation:

Answer:

Step-by-step explanation:

7.5 pounds divided by 14 days= 0.5357 pounds or 0.54

Answer:

684

Step-by-step explanation:

6-h-4+44

Answer:

It has one solution

Step-by-step explanation:

Because the answer has 2 graphs intersecting on 1 point which is (4,1).

The systems y = x - 3 and 4x - 10y = 6 have only one solution, x = 4 and y = 1, so option C is correct.

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

Given equations:

y = x - 3

4x - 10y = 6

Put the value of y in the second equation,

4x - 10(x - 3) = 6

4x - 10x + 30 = 6

-6x = 6 - 30

x = -24 / -6

x = 4

Put the value of x in the first equation,

y = 4 - 3 = 1

Therefore, the system y = x - 3 and 4x - 10y = 6 have only one solution, x = 4 and y = 1.

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Answer:

if I am sick, then I will not come to school.

Step-by-step explanation:

Answer:

ths answrs is 40 miles pwr hour becUsd 200/5=40

Answer:The average speed  the bus was going is 40 mph

Step-by-step explanation: 200÷5=40

Can you mark me brainliest

Answer:

D

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

A. |−4| < 3 = 4 < 3

B. |−4| < |3| = 4 < 3

C. |−3| < −4 = 3 < −4

D. |−3| < |−4| = 3 < 4

Given:

Total number of students = 147

Number of students taking math = 95

Number of students taking science = 73

Number of students taking both = 52

To find:

The theoretical probability of randomly choosing a student who is taking math.

Solution:

We have,

Total number of students = 147

Number of students taking math = 95

Now, the theoretical probability of randomly choosing a student who is taking math is

\(P(M)=\dfrac{\text{Number of students taking math}}{\text{Total number of students}}\times 100\)

\(P(M)=\dfrac{95}{147}\times 100\%\)

\(P(M)=64.62585\%\)

\(P(M)\approx 64.6\%\)

The theoretical probability of randomly choosing a student who is taking math is 64.6%.

Therefore, the correct option is C.

Answer:

you need to add the graph

Answer:

no graf

Step-by-step explanation:

Answer:

i think it would be 05

if you mean 4^5 than the exponent if definitely 05

Hope this helped!

Step-by-step explanation:

Answer:

probability for 3 on a dice (P3) in one dice =

\( \frac{1}{6} \)

probability for even no. of a dice (Pe) =

\( \frac{3}{6} = \frac{1}{2} \)

Therefore, the probability of finding 3 on one dice and even on another (P) = P3 + Pe

\( = \frac{1}{6} + \frac{1}{2} = \frac{1 + 3}{6} = \frac{4}{6} = \frac{2}{3} \)

The statement "Using the three standard deviation criterion, the last observation (x=43) would be considered an outlier" is true.

Given data:

7, 11, 12, 18, 20, 22, 43.

To find out whether the last observation is an outlier or not, let's use the three standard deviation criterion.

That is, if a data value is more than three standard deviations from the mean, then it is considered an outlier.

The formula to find standard deviation is:

S.D = \sqrt{\frac{\sum_{i=1}^{N}(x_i-\bar{x})^2}{N-1}}

Where, N = sample size,

             x = each value of the data set,

    \bar{x} = mean of the data set

To find the mean of the given data set, add all the numbers and divide the sum by the number of terms:

Mean = $\frac{7+11+12+18+20+22+43}{7}$

          = $\frac{133}{7}$

          = 19

Now, calculate the standard deviation:

$(7-19)^2 + (11-19)^2 + (12-19)^2 + (18-19)^2 + (20-19)^2 + (22-19)^2 + (43-19)^2$= 1442S.D

                                                                                                                               = $\sqrt{\frac{1442}{7-1}}$

                                                                                                                                ≈ 10.31

To determine whether the value of x = 43 is an outlier, we need to compare it with the mean and the standard deviation.

Therefore, compute the z-score for the last observation (x=43).Z-score = $\frac{x-\bar{x}}{S.D}$

                                                                                                                      = $\frac{43-19}{10.31}$

                                                                                                                      = 2.32

Since the absolute value of z-score > 3, the value of x = 43 is considered an outlier.

Therefore, the statement "Using the three standard deviation criterion, the last observation (x=43) would be considered an outlier" is true.

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The part in the steering column that allows for changes in the angle between the upper and lower shafts is the universal joint.

The universal joint, also known as a U-joint or Cardan joint, is a mechanical device that enables changes in the angle between two shafts that are not in a straight line. In the context of a steering column, the upper and lower shafts are connected by a universal joint.

As the steering wheel is turned, it exerts rotational force on the upper shaft of the steering column. The universal joint allows for the transmission of this rotational motion while accommodating changes in the angle between the upper and lower shafts. It provides flexibility and compensates for any misalignment between the two shafts, ensuring smooth and continuous rotation of the steering column.

The universal joint typically consists of two yokes connected by a cross-shaped component with needle bearings. These bearings allow for rotation in multiple axes, allowing the steering column to handle variations in the angle between the upper and lower shafts during steering movements.

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An election system in which each state is divided into geographical regions (districts) and each district is represented by a single representative who wins by receiving the most votes even if it is not a majority is known as First-past-the-post (FPTP).

First-past-the-post (FPTP) is also known as simple majority system. Through this method of voting, the candidate with the most votes in the constituency is declared the winner of the election. This system is used in India in direct elections of Lok Sabha and State Assemblies. While FPTP is simple, it does not always allow for true representation, as a candidate can win despite getting less than half of the votes in a contest. In 2014, the National Democratic Alliance led by the Bharatiya Janata Party won 336 seats with 38.5% of the votes cast. Also, smaller parties that represent specific groups have less voting opportunities in the FPTP.

On election day, voters receive a ballot with a list of candidates. Since only one member of parliament will represent the region, each party has only one candidate to choose.

Voters put a cross next to their favorite candidate. But if they think their favorite has a low chance of winning, they can place a cross next to the one they like with the best chance of winning.

Being one candidate from each party, voters who support that party but do not like their candidate, either vote for the party they do not support or the candidate they do not like.

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Answer:

x = 12

Step-by-step explanation:

1. Distribute:

5(x-4) = 5x - 20

2. Set equal to each other:

5x - 20 = 3x + 4

3. Simplify both sides:

5x - 20 = 3x + 4

-3x+20 = -3x+20

2x = 24

4. Solve:

2x/2 = 24/2

x = 12

5x+4=3x−4

Move all terms containing x to the left side of the equation.

2x+4=−4

Move all terms not containing x to the right side of the equation.

2x=−8

Divide each term by 2 and simplify.

x=-4