What is the length of side AB of parallelogram ABCD?
units
A
VX
49-8
B
D
9 +4

The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:

Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.

Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.

People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.

The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.

Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

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Answer:

400+100 = 500

Step-by-step explanation:

ya thats the sum

Answer:

500

Step-by-step explanation:

400+100 is 500

ANSWER

y = -0.25 + 7

EXPLANATION

The line passes through the points (-4, 8) and (12, 4).

The slope-intercept form of a linear equation is written as:

y = mx + c

where m = slope

c = y intercept

First, we have to find the slope of the line.

We do that with formula:

Therefore, the slope is:

Now, we use the point-slope method to find the equation:

That is the equation of the line. It is not among the options.

Answer:

B

Step-by-step explanation:

Both B and C are right btw. Ratios can be both fractions and in the (x:Y) format.

8 red grapes to 13 total grapes=

8:13 or 8/13

Answer:

Filling the values we have;

Explanation:

Given the data on the given table, we want to fill them in a stem leaves plot.

The tens values would be in the stems while the unit values will be written in their corresponding leaves.

Filling the values we have;

As a result, when a boat goes 30 km up a river in the same amount of time, its speed in still water is 20 km/h.

The numeral is said to be in this simplest form when divided into its smallest equivalent fraction. How to do to find the most basic form. Find common factors in the denominator and numerators. Verify a fractional integer to verify if it passes as a prime number. A statement having two collinear and an equally sign in the middle is called an equation in mathematics. The general form of any equation contains the degrees of all the variables in descending order. The normal form of a linear function is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Equations can be categorised as identities or conditional equations. An identity holds true regardless of the value given to the variables.

given

Let the boat's speed in calm water be x km/h.

Boat speed downstream is equal to x plus 5.

Upstream boat speed is equal to x - 5

Distance x time speed

Time is therefore determined by speed and distance.

Boat travel time is equal to 30/km upstream (x – 5)

50/(x + 5) is the time it takes a boat to travel 50 kilometres downstream.

Since the boat takes the same amount of time in both scenarios, 30 (x + 5) = 50 (x -5), 30 x +150 = 50 (x -250), 20 (x = 400), and 20 (x = 20).

As a result, when a boat goes 30 km up a river in the same amount of time, its speed in still water is 20 km/h.

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The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.

The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.

The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.

a. Exactly 9 of them major in STEM.

In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:

P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶

where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.

b. At most 11 of them major in STEM.

To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.

The probability of at most 11 students majoring in STEM can be calculated as follows:

P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.

c. At least 11 of them major in STEM.

The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:

P(X >= 11) = 1 - P(X < 11) = 31.8%

Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.

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Answer:

Step-by-step explanation:

L = 2W + 5

A = LW = 63

L = 63/W

W=63/L

L = 2W + 5

63/W = 2W + 5

63 = 2WW + 5W

2WW + 5W - 63 = 0

2WW + 5W - 63 = 0

is already in quadratic equation form: ax^2 + bx + c = 0

use the quadratic formula to solve for two solutions:

x = ( -b +- sqrt( bb - 4ac ) ) / 2a

the two solutions are:

x = 9/2

x = -7

you cant have a negative solution for length so use the positive one

solve for length:

L=5+2(9/2)

L=5+18/2

L=5+9

L=14

Answer:

what we have to find , please complete the question

word form: one million, three thousand, four hundred ninety eight

number form : 1,003,498

expaned form 1000000 + 30000 + 400 + 90 + 8

i would so base form but i cant

The row of tiles would be 24 1/2 inches long.

B:The  row of 10 tiles would be 35 inches long.

A 1. To be able to know the length of the row of tiles, one need to multiply the length of one tile by the number of tiles in the said  row.

So, all tile measures 3 1/2 inches on each side, Hence  the length of one tile is 3 1/2 inches.

Based on the fact that there are 7 tiles in a row, we have to multiply the length of one tile by 7:

Length of the row = 3 1/2 inches/tile x 7 tiles

                              = 24 1/2 inches

So, the row of tiles is 24 1/2 inches long.

B 2. Also, to find the length of a row of 10 tiles, we need to multiply the length of one tile by 10.

Note that:

Length of one tile = 3 1/2 inches

Number of tiles in the row = 10

Hence:

Length of the row = 3 1/2 inches/tile x 10 tiles

                               = 35 inches

So, the row of 10 tiles is 35 inches long.

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Answer:

7/9²=49/81

Step-by-step explanation:

soskssjshsgsgsgsgsgs

The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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Considering the scatter plot, the function that best fits the data is given by:

f(x) = 3x².

To find the function that best fits the data, we have to look at the scatter plot, which gives a series of points (x,y).

We have that:

Hence the function that best fits the data is given by:

f(x) = 3x².

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Answer:

93.84

Step-by-step explanation:

I think I'm not sure

69 ÷ 7 = 9 r6

hope it helps.

All real numbers (In interval form (-∞,∞) )

Given,

From the graph,

To find the domain of the function.

Now,

We know that a domain of a function is the set of the all the x-values for which the function is defined.

By looking at the graph of the function we see that it is a graph of a upward open parabola and the graph is extending to infinity on both the side of the x-axis this means that the function is defined all over the x-axis i.e. for all the real values.

Also, we know that the function will be a quadratic polynomial since the equation of a parabola is a quadratic equation and as we know polynomial is well defined for all the real value of x.

The domain of the function is:

Hence,  All real numbers (In interval form (-∞,∞) )

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Answer:

\(\displaystyle y + \frac{1}{2} = 3\, (x - 2)\).

Step-by-step explanation:

Consider a line in a cartesian plane that goes through the point \((x_{0},\, y_{0})\). If the slope of this line is \(m\) (a real constant,) the equation of this line in point-slope form would be:

\(y - y_{0} = m\, (x - x_{0})\).

The line in this question goes through the point \((2,\, (-1/2))\). Thus, \(x_{0} = 2\) whereas \(y = (-1/2)\). The slope of this line is \(m = 3\). Thus, the equation of this line in point-slope form would be:

\(y - (-1/2) = 3\, (x - 2)\).

Simplify to obtain:

\(y + (1/2) = 3\, (x - 2)\).

Answer:

115

Step-by-step explanation:

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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The value of x for which the two lines are parallel is given as follows:

x = 60º.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

x + 2x = 180

3x = 180º

x = 180º/3

x = 60º.

The figure is given by the image presented at the end of the answer.

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answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

a.

Step-by-step explanation:

All you have to do is distribute them

a.) -15x + 39

b.) -15x - 39

c.) 15x - 39

d.) 15 + 39

The one equivalent to -15x + 39 is A

The point where the boat should be landed is the point 3.4 miles from point P towards the town.

The point where the boat should be landed can be found by expressing

the distance traveled on the boat and walking as a function of time.

Given that x represents the distance from point P to the boat landing point.

Therefore, distance of rowing the boat = √((12 - x)² + 3²)

The total time, t, is, therefore;

\(t=\frac{12-x}{4} +\frac{\sqrt{x^2+3^2} }{3}-----------(1)\)

differentiate the above equation we get:

\(\frac{dt}{dx} =\frac{d}{dx} (\frac{12-x}{4} +\frac{\sqrt{x^2+3^2} }{3} )\\\\\\=\frac{12.(-3+4*\frac{2x}{2*\sqrt{x^2+9} } )}{144} \\\\\\=\frac{12(-3+4*\frac{2x}{2*\sqrt{x^2+9} }) }{144}\\\\=-\frac{1}{4} +\frac{x}{3*\sqrt{x^2+9} } \\\\\frac{x}{3*\sqrt{x^2+9} }=\frac{1}{4} \\\\cross multiplying both terms we get:\\\\4x=3*\sqrt{x^2+9}\)

squaring on both sides we get:

16x^2=9(X^2+9)

16x^2=9x^2+81

7x^2=81

\(x=\frac{9*\sqrt{x} }{7}\)

Approximately,x=3.4 miles.

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The height needed to reach the desired volume is approximately a. 9.2 inches.

In mathematics, the volume of an object is the amount of space that it occupies in three-dimensional space. It is typically measured in cubic units, such as cubic meters or cubic inches.

To calculate the height of the sandbox, we can use the formula for the volume of a rectangular prism:

V = L x W x H

where V is the volume, L is the length, W is the width, and H is the height.

Substituting the given values, we have:

32,188.04 = 59.3 x 59 x H

Simplifying and solving for H, we get:

H = 32,188.04 / (59.3 x 59)

H ≈ 9.2 inches

Therefore, the height needed to reach the desired volume is approximately a. 9.2 inches.

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(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.

The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.

The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.

Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather

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