Which values of a and b make the equation true?

Answer: the answer is 7 1/9

Step-by-step explanation:

The charge on the line segment extending from (2,1,5) to (4,3,6) is determined by finding the line integral of the electric field along that line.

This line integral can be calculated by parameterizing the line segment and computing the integral using the formula:∫_a^b E·dswhere E is the electric field, s is the position vector along the line, and a and b are the starting and ending points of the line.

To parameterize the line segment, we can use the equation:r(t)=(2,1,5)+t(2,2,1)where 0 ≤ t ≤ 1. This gives us a point on the line for each value of t, and the vector (2,2,1) gives us the direction of the line. We can then calculate the electric field at each point along the line .

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The area function Ap(x) represents the area of the region under the curve y = t³ between the vertical lines y = p and t = x. To find the formula for Ap(x), we need to integrate the function y = t³ with respect to t between the limits p and x.

∫[p,x] t³ dt = [t⁴/4]pᵡ

Now, substitute x for t in the above expression and subtract the result obtained by substituting p for t.

Ap(x) = [(x⁴/4) - (p⁴/4)]

Therefore, the formula for the area function Ap(x) is Ap(x) = (x⁴/4) - (p⁴/4). This formula depends on x and the parameter p, which represents the vertical line y = p.

In simpler terms, Ap(x) is the area of the shaded region between the curve y = t³ and the vertical lines y = p and t = x. The formula for Ap(x) is obtained by integrating the function y = t³ with respect to t and subtracting the result obtained by substituting p for t from the result obtained by substituting x for t.

In summary, the area function Ap(x) represents the area of the region under the curve y = t³ between the vertical lines y = p and t = x. The formula for Ap(x) is (x⁴/4) - (p⁴/4), which depends on x and the parameter p.

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Answer:

The numbers are 36 and 68.

Step-by-step explanation:

Let the smaller number be x.

"The larger number is four less than two times the smaller

number."

The larger number is

2x - 4

The sum of the numbers is x + 2x - 4, or 3x - 4.

"The sum of the numbers is 104."

3x - 4 = 104

3x = 108

x = 36

The smaller number is 36.

The larger number is 2x - 4, or

2x - 4 = 2(36) - 4 = 72 - 4 = 68

The larger number is 68.

Answer: The numbers are 36 and 68.

The measures of angles 4 and 5 are:

∠5 = 104°

∠4 =76°

On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.

Then we can write the sum:

∠1 + ∠2 = 180°

(3x + 5) + (2x + 10) = 180

5x + 15 = 180

5x = 180 - 15

x = 165/5 = 33

the measure of angle 5 is the same one of angle 1 then:

∠5 = (3*33 + 5)° = 104°

And angle 4 is supplementary of angle 1, then:

∠4 + 104° = 180°

∠4 = 180 - 104= 76°

These are the measures

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Answer:

Multiplication

The solution of given equation x = -20

Step-by-step explanation:

step (i) :-

given equation = -(x/4) = 5

multiply '1' on both sides we get

\( = - (( - \frac{x}{4} )) = - 5\)

\( = \frac{x}{4} = - 5\)

step (ii) :-

multiply '4' on both sides we get

\( = \: \: \: \: \: \frac{x}{4} \: \: \times \: 4 \: \: = - 5 \times 4\)

Cancellation '4' on left side we get

x = -20

conclusion:-

The solution of given equation x = -20

The example that is not an example of instrumental (operant) conditioning is option a.

When Raluca's teacher praises her in class for her fine oral description of a mathematical problem, and Raluca becomes embarrassed and vows never to act so smart in front of her friends again.

Instrumental conditioning, also known as operant conditioning, involves the association between a behavior and its consequences, which in turn influences the likelihood of that behavior recurring in the future. In instrumental conditioning, behaviors are strengthened or weakened based on the consequences they produce.

Option b, c, and d all demonstrate instrumental conditioning. In option b, Diallo changes the time of day he does his homework and finds that he is doing better, so he continues to do his homework at that new time. This shows that the behavior of doing homework at the new time is reinforced by the positive consequence of doing better.

In option c, Danny tells a funny joke, and his classmates' laughter serves as a positive consequence that reinforces his behavior of telling jokes. This leads to an increase in the behavior of telling jokes, and Danny becomes the class clown.

In option d, Michelle discovers that she can leave her mathematics class early by complaining about a stomachache. By receiving the positive consequence of leaving early, her behavior of complaining about a stomachache is reinforced, leading to an increase in the occurrence of this behavior.

However, in option a, Raluca's embarrassment and her decision to not act smart in front of her friends again are not consequences that reinforce or strengthen her behavior. Instead, her embarrassment leads to the avoidance of the behavior, suggesting that this example is not an illustration of instrumental conditioning.

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Answer:

I  think that would be 1/5

Explanation:

Hope this helps!

Step-by-step explanation:

8 1/3 = 25/3

= 8.3333

8 1/3 = 8 + 1/3

= 8 + 0.3333

= 8.3333

Answer:

8⅓ = 8.3

Step-by-step explanation:

Solving Fraction to decimal

8 * 3 + 1 /3

= 25/3

= 8.3

The dependent variable is the "height the ball bounces". The dependent variable is an essential component of the scientific experiment. It is the variable that you control to determine how the changes will impact the subject being investigated.

Height the ball bounces is your dependent variable, which varies based on the other variables.The term dependent variable refers to a variable whose value is determined by the presence of one or more variables (i.e., the independent variables) being evaluated. The dependent variable is commonly represented on the vertical or y-axis of a graph, while the independent variable is frequently shown on the horizontal or x-axis of the same graph.

The term dependent variable refers to a variable whose value is determined by the presence of one or more variables (i.e., the independent variables) being evaluated. The dependent variable is commonly represented on the vertical or y-axis of a graph, while the independent variable is frequently shown on the horizontal or x-axis of the same graph. The dependent variable is the "height the ball bounces". The dependent variable is an essential component of the scientific experiment.

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Answer:

(-3/2, -13/2)

Step-by-step explanation:

To solve the system of equations graphically, we need to plot the two equations on the same set of axes and find the point of intersection.

To plot the first equation y = x - 5, we can start by finding the y-intercept, which is -5. Then, we can use the slope of 1 (since the coefficient of x is 1) to find other points on the line. For example, if we move one unit to the right (in the positive x direction), we will move one unit up (in the positive y direction) and get the point (1, -4). Similarly, if we move two units to the left (in the negative x direction), we will move two units down (in the negative y direction) and get the point (-2, -7). We can plot these points and connect them with a straight line to get the graph of the first equation.

To plot the second equation y = -x - 8, we can follow a similar process. The y-intercept is -8, and the slope is -1 (since the coefficient of x is -1). If we move one unit to the right, we will move one unit down and get the point (1, -9). If we move two units to the left, we will move two units up and get the point (-2, -6). We can plot these points and connect them with a straight line to get the graph of the second equation.

The point of intersection of these two lines is the solution to the system of equations. We can estimate the coordinates of this point by looking at the graph, or we can use algebraic methods to find the exact solution. One way to do this is to set the two equations equal to each other and solve for x:

x - 5 = -x - 8 2x = -3 x = -3/2

Then, we can plug this value of x into either equation to find the corresponding value of y:

y = (-3/2) - 5 y = -13/2

So the solution to the system of equations is (-3/2, -13/2).

The ratio of nonfiction to fiction books is 49 : 2.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, The number of fiction books is 2/7 times the number of nonfiction books.

So, If we have 7 nonfiction books then we have 2/7 fiction books.

Therefore, The ratio Nonfiction : Fiction = 7 : 2/7.

Nonfiction : Fiction = 49 : 2.

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Answer: Should be quadrant 3

Step-by-step explanation:

1 is everything in -360

2 is everything in -270

3 is everything in -180

4 is everything in -90

So basically it is less than -90 so it couldn’t be in quadrant 4 it would be before it so quadrant 3. Sorry if this is incorrect but it is to the best of my knowledge

Answer:

Kameron is 50 years old.

Step-by-step explanation:

We can make equations and start filling in what we already know, assuming \(n\) is Niko's age, \(L\) is Lila's age, \(a\) is Amber's age, and \(k\) is Kamerons age.

Our first equation:

n = 3L

We know that Niko is 45, so

45 = 3L

Divide both sides by 3:

L = 15

So, Lila is 15 years old.

Another equation:

n = L + 3a

We already know Niko and Lila's age:

45 = 15 + 3a

Subtract 15 from both sides:

30 = 3a

Divide both sides by 3:

a = 10

So Amber is 10 years old.

Another equation:

k = 2(a + L)

We know Amber and Lila's age:

k = 2(10 + 15)

k = 2(25)

k = 50

So Kameron is 50 years old.

Hope this helped!

The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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Answer: AA Similarity

Step-by-step explanation:

Since both shapes have two corresponding angles that are congruent, AA similarity is applied here.

Answer:

I hope it's helpful for you

Step-by-step explanation:

pls mark brainliest

we have that

the radius is

r=12.1 in

the volume of a sphere is

substitute the given values

Part 2

In this problem we have the diameter of the sphere

D=13.6 mm

so

r=D/2=13.6/2=6.8 in

substitute in the formula

Answer:

282.7 cm

Step-by-step explanation: One spin is one circumference. That's  π(diameter)= 282.7

Answer:

D. 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Pre-Calculus

Calculus

Step-by-step explanation:

Step 1: Define

\(\frac{d}{dx} [tan(x)]\\x = \pi\)

Step 2: Differentiate

Step 3: Evaluate

If we have 90 balls in a basket, 30 of which are red and the rest are yellow and black, we can calculate the probability of drawing a yellow ball by dividing the number of yellow balls by the total number of balls in the basket.

Since we know that there are 30 red balls in the basket, the remaining 60 balls must be either yellow or black. We don't know how many of these 60 balls are yellow or black, so we need to calculate the probability of drawing a yellow ball without this information.

The probability of drawing a yellow ball is the number of yellow balls divided by the total number of balls in the basket. Therefore, the probability of drawing a yellow ball can be calculated as:

Probability of yellow ball = Number of yellow balls / Total number of balls

Since we know there are 30 red balls, we subtract this number from the total number of balls to get:

Total number of yellow and black balls = 90 - 30 = 60

We don't know how many of these 60 balls are yellow, but we know that all of them are either yellow or black. Therefore, the probability of drawing a yellow ball can be calculated as:

Probability of yellow ball = Number of yellow balls / Total number of yellow and black balls

Since we don't know the number of yellow balls, we can assume that all of the remaining 60 balls are yellow. Therefore, the probability of drawing a yellow ball can be calculated as:

Probability of yellow ball = Number of yellow balls / Total number of yellow and black balls = 60 / 90 = 2/3

This means that the probability of drawing a yellow ball from the basket is 2/3, or approximately 0.67.

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Answer:

A

Step-by-step explanation:

La respuesta tiene 5 opciones correctas posibles, las que se detallan a continuación.

Dado que al hacer el corte del día en un restaurante, el administrador hace 3 rollos de billetes de la misma denominación, y en el primero hay $1350, en el segundo $1700 y en el tercero $3550, para determinar cuántos billetes hay en cada rollo y de qué denominación son se debe realizar el siguiente cálculo, obteniendo los divisores comunes de estos números:

1350 --- 1700 --- 3550 = Divisores comunes cuyo número corresponde al de los billetes de dólar son 1, 2, 5, 10 y 50

Así, los rollos podrían ser de las siguientes cantidades, obteniendo los resultados de la división de la cantidad de dinero por la denominación del billete:

$1 = Primer rollo de 1350 billetes, segundo rollo de 1700 billetes, tercer rollo de 3550 billetes

$2 = Primer rollo de 675 billetes, segundo rollo de 850 billetes, tercer rollo de 1775 billetes

$5 = Primer rollo de 270 billetes, segundo rollo de 340 billetes, tercer rollo de 710 billetes

$10 = Primer rollo de 135 billetes, segundo rollo de 170 billetes, tercer rollo de 355 billetes

$50 = Primer rollo de 27 billetes, segundo rollo de 34 billetes, tercer rollo de 71 billetes

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Answer:

72000000

Step-by-step explanation:

Answer:

52°

Step-by-step explanation:

Let the measure of the third angle be x°.

Since, straight line is broken into three angles. So, the sum of all the three angles will be equal to 180°.

38° + 90° + x = 180°

128° + x = 180°

x = 180° - 128°

x = 52°

Answer:

52°

Step-by-step explanation:

So, we basically know that,

A straight Angle=180°

When it has been broken into 3 pieces, we have gotten one which is 38°and a right angle.

Now , we know that

A right angle= 90°

So, we need to do,

Sum of known angles= 38+90=128°

Lastly,

Unknown angle = 180° - 128° = 52°

The answer to the given binary operation is 10012. The binary operation of adding 1112 and 102 will be solved by converting the binary numbers to base 10, performing the addition in base 10, and then converting the result back to base 2.

Converting the binary numbers to base 10, we have 1112 = 7 and 102 = 2. Adding 7 and 2 in base 10 gives us 9. To convert the result back to base 2, we divide 9 by 2 repeatedly until the quotient becomes 0. The remainder in each division gives us the binary digits of the answer. In this case, 9 divided by 2 is 4 with a remainder of 1, and 4 divided by 2 is 2 with a remainder of 0. Therefore, the binary representation of 9 is 1001. Hence, the answer to the given binary operation is 10012.

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Answer:

The answered 5 math questions, and 5 science questions.

5 * 3 = 15

5 * 10 = 50

15 + 50 = 65

Step-by-step explanation:

Answer: 1/16

Step-by-step explanation: