Consider the nuclear equation below. superscript 239 subscript 94 upper p u right arrow variable x plus superscript 4 subscript 2 upper h e. what is x? superscript 235 subscript 96 upper c m. superscript 243 subscript 92 upper u. superscript 235 subscript 92 upper u. superscript 243 subscript 96 upper c m.

(NOTE: many questions may ask you to put the equation in a certain format. This answer is assuming you can put it in slope-intercept form.)

Answer:

y= -3x-3

Step-by-step explanation:

1) A handy way to write an equation from a graph is to use the slope-intercept form: y = mx + b. In this format, the "m" represents the slope - or the measure of the steepness of the graph (we'll get more into this in the next step). The "b" represent the y-intercept, or where the point in which the graph hits the y-axis. If you know what the slope and y-intercept is, it is very easy to create an equation!

2) So let's find the slope first. The slope of an equation is represented by \(\frac{rise}{run}\) , or the change in the y from each point, going up or down, divided by the change of x, going from left to right. So, knowing this, we can take two points we see the line hit and count the change from the x and y values.

3) Now, let's find the y-intercept. This part is much easier: just look at the graph and find the point where the line hits the y-axis. In this case, it's (0,-3).

4) All you have to do now is plug the slope and y-intercept we found into y = mx + b. So, put the slope in the "m" place and remember to put the y-value of the y-intercept into the "b" place.

This should get you y= -3x - 3 as your answer!

Answer:

The radius of the circle is 3, so

Circumference = 2(3)π = 6π = 18.84

Area = π(3^2) = 9π = 28.26

The problem involves the calculation of the total distance covered by the car.A car that moves from rest acquires a velocity of 20 m/s with uniform acceleration in 4 seconds. This means that its acceleration was 5 m/s², and it moved 20 m/s after 4 seconds.

From this moment, the car moved with this velocity for 6 seconds. This means that it covered a distance of 20 m/s × 6 s = 120 m. After 10 seconds, the car has covered a distance of 120 m. It then accelerates uniformly to 30 m/s in 5 seconds. The acceleration of the car is (30 – 20) m/s ÷ 5 s = 2 m/s².

Therefore, the car would have covered a distance of 20 m/s × 5 s + 0.5 × 2 m/s² × (5 s)² = 75 m during the acceleration phase of 5 seconds. When it travels for 3 seconds at this velocity, it would have covered a distance of 30 m/s × 3 s = 90 m.

Adding the distance covered during the first 10 seconds to the distance covered during the next 8 seconds, we have a total distance of 120 m + 75 m + 90 m = 285 m.When the car comes to rest, it does so with uniform declaration in 12 seconds. The acceleration of the car at this time is -2.5 m/s².

Therefore, the car would have covered a distance of 30 m/s × 12 s + 0.5 × (-2.5 m/s²) × (12 s)² = 180 m when coming to a stop.Thus, the total distance covered by the car is 285 m + 180 m = 465 m. Therefore, the total distance covered by the car is 465 meters.

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Answer:

\(5.3\times 10^{-11}\ m\)

Step-by-step explanation:

In this problem, we need to express 53 pm in which is the size of a hydrogen atom, in scientific notation.

Any number can be expressed in scientific notation as follows :

\(N=a\times 10^b\)

a is any real no and b is any integer

We know that, 1 pm = \(10^{-12}\ m\)

It means, \(53\ pm=53\times 10^{-12}\ m\)

or

\(53\times 10^{-12}\ m=\dfrac{53}{10}\times 10^{-12}\times 10\\\\=5.3\times 10^{-12+1}\\\\=5.3\times 10^{-11}\ m\)

Therefore, the above is the scientific notation for the size of a hydrogen atom.

54 cents cost for 9 inches of wire.

Cost rate is the amount that a worker costs the business. For instance, Zack bills $100 per hour and makes $25 per hour in costs. In other words, the corporation pays him $25 for every hour he bills. The profitability of your workers, projects, and employment is determined by cost rates.

The smallest unit of length is the inch (plural: inches). One foot is made up of 12 inches. An inch is equivalent to 2.54 cm in the metric system. For shorter measurements like measuring a pencil's length or an eraser's breadth, inches are utilized.

Wire measuring 16 inches costs 96 cents,

thus the price is 96/16 = 6 cents.

6cents is the cost per inch of wire

so for 9inch the cost will be

9*6 = 54cents will be the cost of 9inch of wire

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At 32.2 rate is water pouring into a rectangular bathtub with base 23sq ft if the water level rises at a rate of 1.4ft/min

Volume: Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

at what rate is water pouring into a rectangular bathtub with base 23sq ft

lb=23

volume of rectangle, v=lbh

                                   v=23h

differentiate with respect to time

dv/dt=23 dh/dt.....equation(1)

the water level rises at a rate of 1.4ft/min

dh/dt=1.4ft/min

substitute in equation(1)

dv/dt=23(1.4)

dv/dt=32.2

At 32.2 rate is water pouring into a rectangular bathtub with base 23sq ft if the water level rises at a rate of 1.4ft/min

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solution of the linear equation is x = (2a - 16)/ 3 and y = - (a+16)/ 9

An algebraic expression that shows a relationship between two variables   that have only first order term. One of the main criteria for linear equation is that we get a straight line when plot this equation in a coordinate system.

.

we are given, two linear equations x - a -3y = 0

and a - 2x -3y - 16 =0

from the first equation, x = a + 3y

we put the value of x in the second equation, a - 2(a +3y) - 3y -16= 0

                                                                     a - 2a - 6y - 3y -16 = 0

                                                          - a - 9y -16 =0

                                                   - (a + 16) = 9y

                                              y = - (a+16) / 9

now we put the value of y in the equation, x = a + 3y

                                    get, x = a+ 3 [ - (a+16)] / 9

                                      x = a + [ - (a+16)] / 3

                                          x = (3a - a -16) / 3

                              x = (2a - 16)/ 3

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Answer:

(-2,-3)

Step-by-step explanation:

The explanation in the photo

Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.

This is referred to as the total number of species or organisms in an area at a given period of time.

Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.

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The correct point-slope equation for the line that passes through the point (-4,-2) and is parallel to the line given by y = 5x + 44 is: A. y + 2 = 5(x + 4)

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

y - y₁ = m(x - x₁)

Where:

Since the line is parallel to y = 5x + 44, the slope is equal to 5.

At data point (-4, -2) and a slope of 5, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-2) = 5(x - (-4))  

y + 2 = 5(x + 4)

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Answer:

Step-by-step explanation:I don’t know u nerdy boy

The height of ladder is approximately 26.9 feet tall.

In order to get the length of the hypotenuse, divide the non-hypotenuse side that is close to the angle by cos(). If you prefer, you can multiply this length by tan() to obtain the length of the side that is perpendicular to the angle.

Let's tackle this issue using the Pythagorean theorem.

According to the Pythagorean theorem, the sum of the squares of the leg lengths in a right triangle equals

The length of the slide is the other leg, the distance from the ladder's bottom to its base is one leg, and the ladder itself is the hypotenuse.

b² = 18² + 20²

b² = 324 + 400

b² = 724

b = √(724)

b ≈ 26.9

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Answer:

x= -1, 1/3, -3

Step-by-step explanation:

Answer:

$7.50+m > $19

The inequality to be used for determining the maximum number of milkshakes she can buy will be in the form of:

\(\$7.50+\$2.00\rm{m}\leq \$19.00\)

  The inequality in the position or the relationship between two variables in order to make the total either greater than, less than, or greater than equal to, or less than equal to the total amount.  

The inequality can be between numbers or algebraic expressions.  

In the given case,

To determine the inequality for the number of milkshakes the inequality will be formed as follows:  

The total cost of ice cream cones will be added with the total cost of milkshakes (where m is the number of milkshakes) and the sign used will be greater than or equal to the given amount to be spent.  

Therefore, the inequality will be  \(\$7.50+\$2.00\rm{m}\leq \$19.00\)

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Answer:

\( f'(x) = {e}^{x}( \sin x + \cos x ) \)

Step-by-step explanation:

\(f(x) = {e}^{x} \sin x \\ \\ f'(x) = \sin x \frac{d}{dx} {e}^{x} + {e}^{x} \frac{d}{dx} \sin x \\ \\ f'(x) = \sin x \: {e}^{x} +{e}^{x} \cos x \\ \\ f'(x) = {e}^{x}( \sin x + \cos x ) \)

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

The expectation value of the position squared when the particle in the box is in its third excited state is equal to \(\frac{9l^2}{8}\), where l is the length of the box. This is equal to nine-eighths of the length of the box squared.

The expectation value of the position squared when the particle in the box is in its third excited state can be calculated using the formula\(\langle x^2 \rangle = \frac{l^2}{8} \left( 2n^2 + 6n + 3 \right)\),

where n is the quantum number of the state and l is the length of the box. Here, n is 3, so the expectation value is equal to

\(\frac{l^2}{8} \left( 2 \times 3^2 + 6 \times 3 + 3 \right) = \frac{9l^2}{8}\).

This can be written as nine-eighths of the length of the box squared.

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Answer:

[3, ∞]

Step-by-step explanation:

If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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If U and V are orthogonal then the magnitude of U times V will be U.V = 0 or |UxV| = uv.

U and V are two orthogonal vectors.

since the angle between them is θ = 90⁰

let u and v be the magnitudes of the vectors U and V respectively.

so first dot-product: If two non-zero vectors are orthogonal than the dot product of these vectors will be zero. Dot product of two vectors is expressed by:

U.V = uv cosθ

since these vectors are orthogonal so,

U.V = uv cos90⁰ = 0

And Cross-product: Magnitude Cross product of two orthogonal vectors will be equal to product of magnitude of these vectors.

|UxV| = uv sin θ

|UxV| = uv sin 90⁰ = uv

Therefore, U.V = 0, |UxV| = uv.

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Answer:

2

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

All of the angles in a triangle must add up to 180°.

This is a right triangle because of the presence of a right angle (denoted by the little box in the bottom left-hand corner). All right angles equal 90°.

You were given the value of another angle, 45°.

Therefore, the value of the final angle must be,

x + 90° + 45° = 180°

x + 135° = 180°

x = 45°

Answer:

line segment

Step-by-step explanation:

the answer is above

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Answer:

5050, 4, 10, 500

Step-by-step explanation:

The linear regression equation that represents the correlation between homework grade (x) and test grade (y) is y = 0.6x + 18.5. Using this equation, the estimated homework grade for a student with a test grade of 32 is 38.

To find the linear regression equation, we need to calculate the slope and the y-intercept using the given data:

1: Calculate the mean of the homework grades (x) and test grades (y) from the table.

  Mean of x: (50 + 70 + 80 + 90) / 4 = 72.5

  Mean of y: (60 + 85 + 95 + 100) / 4 = 85

2: Calculate the differences between each homework grade (x) and the mean of x, and each test grade (y) and the mean of y.

  Difference for x: (50 - 72.5), (70 - 72.5), (80 - 72.5), (90 - 72.5) = -22.5, -2.5, 7.5, 17.5

  Difference for y: (60 - 85), (85 - 85), (95 - 85), (100 - 85) = -25, 0, 10, 15

3: Calculate the sum of the product of the differences for x and y, as well as the sum of the squared differences for x.

  Sum of (x - mean of x) * (y - mean of y): (-22.5 * -25) + (-2.5 * 0) + (7.5 * 10) + (17.5 * 15) = 162.5

  Sum of (x - mean of x)^2: (-22.5)^2 + (-2.5)^2 + (7.5)^2 + (17.5)^2 = 1050

4: Calculate the slope (b) using the formula:

  b = Sum of (x - mean of x) * (y - mean of y) / Sum of (x - mean of x)^2

  b = 162.5 / 1050 ≈ 0.155

5: Calculate the y-intercept (a) using the formula:

  a = mean of y - (b * mean of x)

  a = 85 - (0.155 * 72.5) ≈ 85 - 11.24 ≈ 73.76

6: Write the linear regression equation by rounding the coefficients to the nearest tenth:

  y = 0.2x + 73.8

7: Substitute the given test grade (y = 32) into the equation to estimate the homework grade (x):

  32 = 0.2x + 73.8

  0.2x = 32 - 73.8

  0.2x = -41.8

  x ≈ -209 (rounded to the nearest integer)

Therefore, the estimated homework grade for a student with a test grade of 32 is 38.

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