Find the slope and the y-intercept of the graph of the linear equation.
0 = 1 - 2y + 14x

The work you must do to change the length of the spring from 8 cm to 11 cm is 0.0225 Joules.

Calculation of work done:

To calculate the work done to change the length of the spring from 8 cm to 11 cm, given its relaxed length is 5 cm and its stiffness is 50 N/m:

1: Convert the given lengths from centimeters to meters.
Relaxed length = 5 cm = 0.05 m
Initial length = 8 cm = 0.08 m
Final length = 11 cm = 0.11 m

2: Calculate the change in length.
Δx = Final length - Initial length = 0.11 m - 0.08 m = 0.03 m

3: Apply Hooke's Law to find the force needed to stretch the spring.
F = k × Δx
Where F is the force, k is the stiffness (50 N/m), and Δx is the change in length (0.03 m).
F = 50 N/m × 0.03 m = 1.5 N

4: Calculate the work done.
Work = 0.5 × F × Δx
Work = 0.5 × 1.5 N × 0.03 m = 0.0225 J

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Answer:

I think not possible to do

The 99% confidence interval for the mean mathematics SAT score for the entering freshman class is between 450 and 452.

 Based on the information provided, we can use the formula for a confidence interval for the population mean with a known standard deviation:

\(Confidence interval = sample mean +/- z*(standard deviation/square root of sample size)\)

where z is the z-score corresponding to the desired confidence level (99% in this case).

Using a z-score table, we can find that the z-score for a 99% confidence level is 2.576.

Plugging in the values from the question, we get:

Confidence interval = 451 +/- 2.576*(0.115/sqrt(100))
Confidence interval = 451 +/- 0.029
Confidence interval = (450, 452)

Therefore, the 99% confidence interval for the mean mathematics SAT score for the entering freshman class is between 450 and 452 (rounded to the nearest whole number).

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Answer:

if you know that x^6 is ^6 so 1^6=1

and 1^3=1 so 1*1=1-121=-120

hope it help's

Question 1 should be chosen first to maximize your expected reward.

To maximize the expected reward, we need to calculate the expected reward for each question, taking into account the probability of getting the answer right and the reward for a correct answer.

For Question 1, the expected reward is 0.8 * $100 = $80, since you have an 80% chance of getting the answer right and earning a reward of $100.

For Question 2, the expected reward is 0.5 * $200 = $100, since you have a 50% chance of getting the answer right and earning a reward of $200.

Since the expected reward for Question 1 is higher than the expected reward for Question 2, you should choose Question 1 first to maximize your expected reward.

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Answer:

Explanation:

The length of rectangle is 19 cm and width is 31cm

What are the rectangle's perimeter and area?

The region that a rectangle occupies in a two-dimensional space is referred to as the area of a rectangle. The quantity of square units required to entirely fill a rectangle is another way to describe its area. The whole distance encircling a rectangle's edge is referred to as its perimeter.

Given that:

Let the length of the given rectangle be x cm

Then the width = x+12

now area = 589cm^2

Length x breath = 589 = x(x+12)

x^2 + 12x = 589

x^2 + 12x - 589 = 0

(x-19)(x+31) = 0

x = 19 , -31

But x cant be negative so x = 19

Length = 19 cm

Width = 31 cm

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The coordinates of vertex A in the image triangle are (-7, 4)

The vertex of A is given as:

A = (-4, -1)

The rule of 90° clockwise rotation is

(x,y) => (y,-x)

So, we have:

A' = (-1, 4)

The rule of shifting the triangle left by 6 units is

(x,y) => (x - 6,y)

So, we have:

A" = (-1 - 6, 4)

Evaluate

A" = (-7, 4)

Hence, the coordinates of vertex A in the image triangle are (-7, 4)

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Complete question

Triangle ABC is rotated about the origin 90° clockwise and then translated 6 units to the left. This sequence of transformations produces the image, triangle.

The coordinates of vertex A in the preimage triangle are A(-4, -1), what are the coordinates of vertex A in the image triangle

Answer:

Step-by-step explanation:

(2.6*10^5)(1.9*10^2)= 4.94*10^7

You multiply the 2.6*1.9=4.94  then add the powers 5+2=7

Answer:

the last answer/option  is correct

Step-by-step explanation:

Answer:

Option #1

Step-by-step explanation:

you can determine the weight of the concrete column in pounds = m * 2.20462 lbs/kg based on the given values of height (h), diameter (d), density (rho), and assuming a weight of 359 lbs (w) is not necessary for this calculation.

To find the weight of the concrete column in pounds, we can use the following steps:

1. Convert the diameter from millimeters to meters:

  d = 300 mm = 0.3 m

2. Calculate the cross-sectional area of the column:

  A = π * (d/2)^2

3. Calculate the volume of the column:

  V = A * h

4. Convert the density from milligrams per cubic meter to pounds per cubic meter:

  rho = 2.3 mg/m^3 = 2.3 * 10^-6 lbs/m^3

5. Calculate the mass of the column:

  m = V * rho

6. Convert the mass from kilograms to pounds:

  Weight (lbs) = m * 2.20462 lbs/kg

Using these calculations, you can determine the weight of the concrete column in pounds based on the given values of height (h), diameter (d), density (rho), and assuming a weight of 359 lbs (w) is not necessary for this calculation.

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The principal should use Square meters because the average length and width of the parking spaces will determine the number of parking spaces created in the rectangular parking lot.

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The calculated value of the function  when the value of w is equal to 4, is -4

From the question, we have the following parameters that can be used in our computation:

f(w) = -w

When the value of w is equal to 4, we have f(4)

In the function notation f(4), we have

w = 4

substitute the known values in the above equation, so, we have the following representation

f(4) = -1 * 4

So, we have

f(4) = -4

Hence, the value of the function is -4

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Question

Given that f(w) = -w

what is the value of the function when the value of w is equal to 4

Answer:

x = 11

Step-by-step explanation:

180 - (82+50)

180 - 132

48

5x-7 = 48

5x = 55

x = 11

Answer:

never

Step-by-step explanation:

because The union of a and b cannot be equal to the intersection of a and b

Hives, itching, and pale or flushed skin are examples of allergies. reduced blood pressure (hypotension) breathing difficulties and wheezing can result from airway constriction and swelling of the tongue or throat.

What causes allergies?

Why do allergies occur?

If your immune system overreacts to something that is typically harmless but causes an allergic reaction in someone who is sensitive to it, you will experience allergy symptoms. We call this chemical an allergy.

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a. Since both a strong-positive and weak-positive correlation are formally considered to be "growing," this is ambiguous (positive slope). In the same way, negative correlation. Speaking strictly in terms of truth or untrue, I would classify this as false

b. This is once more a little tricky. When "r" is zero, there isn't any evidence of a linear link. It doesn't necessarily follow that the variables don't correlate with one another. The answer is probably True if this is a course on statistics for beginners. If not, False.

c. This is simple to understand. Inverse relationships are indicated by negative coefficients. One grows while the other shrinks (or vice versa). False.

d. The range of the coefficient r is [0, 1] (inclusive), not (0,1). In this case, True if the text suggests [0,1].

e. Simple and accurate

f. Plain and simple, FALSE. Quite a high correlation coefficient

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When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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The derivative of the vector function `r(t) = tax (b + tc)` with respect to time `t` is given by `r'(t) = (11tx + 27, -13tx + 31, -17tx + 11)`.

Given a vector function `r(t) = tax (b + tc)` where `a = (4, -1, 4)`, `b = (3, 1,-5)`, and `c = (1,5,-3)`. We need to find the derivative of the vector function `r'(t)` with respect to time `t`.

Solution: First, we will calculate the derivative of the vector function `r(t) = tax (b + tc)` using the product rule of derivative as follows :`r(t) = tax (b + tc)`

Differentiating both sides with respect to time `t`, we get:`r'(t) = (a × x) (b + tc) + tax (c) r'(t) = axb + axtc + taxc

Now, we will substitute the values of `a`, `b`, and `c` in the above equation to get `r'(t)` as follows : r'(t) = `(4,-1,4) × x (3,1,-5) + 4xt(1,5,-3) × (3,1,-5) + 4xt(1,5,-3) × (3,1,-5)`r'(t) = `(11tx + 27, -13tx + 31, -17tx + 11)`

r'(t) = `(11tx + 27, -13tx + 31, -17tx + 11)`Therefore, the derivative of the vector function `r(t) = tax (b + tc)` with respect to time `t` is given by `r'(t) = (11tx + 27, -13tx + 31, -17tx + 11)`.

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Answer:32 x 10 to the fifth power

Step-by-step explanation:

4000 X 800 = 3,200,000  3,200,000=32x10 to the fifth power

Answer:

2*10^5

Step-by-step explanation:

800,000,000/4000= $200,000

Given statement is True.

A system of equations can be represented in different forms, such as point form (showing the x and y values that make the equations true) or equation form (showing the equations in standard form, with variables on one side and constants on the other). A solve by substitution calculator can be used to find the solution to a system of two or three equations in both point form and equation form of the answer.

The process of solving a system of equations by substitution involves isolating a variable in one equation and then substituting it into the other equation(s) to find the values of the other variable(s). The calculator can display the solution in point form by showing the values of x and y (or x, y, and z for a system of three equations) that make the equations true. It can also display the solution in equation form by showing the equations with the variable(s) replaced by the values found in the solution.

In conclusion, solve by substitution calculator can find the solution to a system of two or three equations in both point form and equation form of the answer, it can be a helpful tool for solving systems of equations.

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Answer:

130

Step-by-step explanation:

you will find x by subtracting 180-50=130

Answer:

130 degrees

the angle all together is 180 degrees so if you subtract 50 degrees from it you will get 130

please give brainliest

Answer:

These results, 7 and 9, have a product of 63, as stated.

Step-by-step explanation:

Represent the first odd number by x and the first consecutive odd number by x + 2.  Then the product of these two numbers is x(x + 2) and it equals 63.

Solve for x.  Perform the indicated multiplication, obtaining

x^2 + 2x - 63 = 0

Solve this by factoring:  (x + 9)(x - 7) = 0

Then x could be either -9 or +7.  If we let x = 7 then the first consecutive odd number is 7 + 2, or 9.  These results, 7 and 9, have a product of 63, as stated.

Answer:

(b) distributive property

Step-by-step explanation:

When you multiply a number (a) by a sum of two other numbers (b + c), you can distribute the multiplication across the sum and get the same result as if you had multiplied a by each of the two numbers (b and c) separately, and then added the two products together.

For example, if a = 2, b = 3, and c = 4, then:

2 x (3 + 4) = 2 x 7 = 14

and

(2 x 3) + (2 x 4) = 6 + 8 = 14

so the distributive property holds in this case.

596 x 25% = 149

This implies 149 persons over the age of 65 voted.

I hope this helps.

Answer:

596 x 25% =149

149 people voted over age 65