Create a linear regression equation that can be used to model the amount of money in the account (the balance), y, based on the time (in weeks), x. Round all values to the nearest hundredth.

Use the model to approximate the amount in the account after 15 weeks. Round to the nearest hundredth.
Use the model to approximate how long it would take to have $50.00 in the account.

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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Rounding this to two decimal places, the equivalent nominal interest rate compounded monthly is approximately 2.53%.

To determine the equivalent nominal interest rate compounded monthly for a given nominal interest rate compounded quarterly, we can use the formula for nominal interest rate conversion.

The formula is:

r = (1 + i/n)^n - 1

Where:

r is the nominal interest rate compounded annually (we're looking for this),

i is the nominal interest rate compounded quarterly (2.50% in this case),

n is the number of compounding periods per year (4 for quarterly compounding).

Plugging in the values, we have:

r = (1 + 0.025/4)^4 - 1

Calculating this expression, we find:

r ≈ 0.025335

Rounding this to two decimal places, the equivalent nominal interest rate compounded monthly is approximately 2.53%.

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The cubic equation is used to describe the glide path of a plane. The given information states that the plane is in level flight at an altitude of 1 mile and starts its descent 6 miles east of the airport.

The question provides information about the altitude of the plane is in and starts its descent 6 miles east of the airport. However, since the equation itself is not provided, we cannot determine the exact shape or characteristics of the glide path.
To better understand the glide path described by the cubic equation, we need to know the equation itself. Unfortunately, the equation is not provided in the question. Without the equation, we cannot determine the exact shape or characteristics of the glide path.
However, a cubic equation typically has the form:
y = ax^3 + bx^2 + cx + d
Where x represents the horizontal distance and y represents the vertical distance (altitude) from the ground. The coefficients a, b, c, and d determine the specific shape of the curve.
Without the specific equation, we cannot provide explanation or examples based on the given information. We would need the equation to calculate and visualize the glide path accurately.
In summary, the question provides information that the plane is in level flight at an altitude of 1 mile and starts its descent 6 miles east of the airport, about a plane's glide path being described by a cubic equation. However, since the equation itself is not provided, we cannot determine the exact shape or characteristics of the glide path.

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Answer:

18 degrees heres youre answer!

Step-by-step explanation:

If Angle 1 is x, and Angle 2 is 9x (because one angle is 9 times as large as the other), then x + 9x = 180. Add like terms: 10x = 180. solve for x by dividing both sides by 10. Therefore, x = 18 degrees = smaller angle.

We are to solve the given equations below:

1) e² - 1 = 0

2) e² + 1 = 022

3) e²² + 2e² - 300 = 0

i) Solution:

Given that e² - 1 = 0

Add 1 to both sides to get: e² = 1

Taking square roots of both sides we get;

e = ±1

The solution to e² - 1 = 0 is e = ±1

ii)  Given that e² + 1 = 0

Subtracting 1 from both sides of the equation we get; e² = -1

Notice that there is no real number which when squared will give a negative number, hence the equation has no solution.

iii) Given that e²² + 2e² - 300 = 0

Let us solve the equation using the quadratic formula. The quadratic formula states that for a quadratic equation of the form ax² + bx + c = 0, the solutions are given by;

x = [-b ± √(b² - 4ac)]/2a

In our case,

a = 1,

b = 2 and

c = -300

Substituting these values into the quadratic formula we get;

x = [-2 ± √(2² - 4(1)(-300)]/2(1) x

= [-2 ± √(4 + 1200)]/2x

= [-2 ± √1204]/2

= [-2 ± 2√301]/2

= -1 ± √301

The two solutions are:

e = -1 + √301 and

e = -1 - √301

We have been asked to solve three equations involving the variable e:

e² - 1 = 0,

e² + 1 = 0, and

e²² + 2e² - 300 = 0.

To solve e² - 1 = 0, we add 1 to both sides to get e² = 1.

Taking square roots of both sides gives e = ±1.

Thus, the solution to e² - 1 = 0 is

e = ±1.

For e² + 1 = 0,

subtracting 1 from both sides of the equation gives

e² = -1.

Notice that there is no real number which when squared will give a negative number, hence the equation has no solution.

To solve e²² + 2e² - 300 = 0, we use the quadratic formula, which states that for a quadratic equation of the form

ax² + bx + c = 0,

the solutions are given by;

x = [-b ± √(b² - 4ac)]/2a

In our case,

a = 1,

b = 2 and

c = -300.

Substituting these values into the quadratic formula gives the solutions:

e = -1 + √301 and

e = -1 - √301.

In conclusion, the solutions to the given equations are:

e² - 1 = 0 has two solutions:

e = ±1e² + 1 = 0 has no real solutions

e²² + 2e² - 300 = 0 has two solutions:

e = -1 + √301 and

e = -1 - √301

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The equivalent fractions for 2/3 is (3×2)/(3×3) = 6/9 and for  5/12 is (4×5)/(4×12) = 20/48.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The equivalent fraction for 2/3 is (3×2)/(3×3) = 6/9.

The equivalent fraction for 5/12 is (4×5)/(4×12) = 20/48.

We have to multiply the same number to both the numerator and denominator to get equivalent fractions.

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Answer: C . 147π / 4 mi²

Concept:

The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.

A = (θ / 360) πr²

θ = angle of the sector

π = constant

r = radius

Solve:

Given variable

θ = 270°

r = 7 mi

Given formula

A = (θ / 360) πr²

Substitute values into the formula

A = (270 / 360) π (7)²

Simplify exponents

A = (270 / 360) π 49

Simplify by multiplication

A = (147 / 4) π

A = 147π / 4

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Its none of the above but its 36:48 so try 36:30

Step-by-step explanation:

Answer:

1,3,6,12

0.20, 0.30,0.30,0.40

Step-by-step explanation:

Answer:

125

An exponent is the number written as a superscript above a number. This is used commonly in mathematics to signify multiplication, or the amount to multiply the number by.

If we look at \(5^{3}\) (Five to the power of 3), we can use this expression to solve for the answer.

Therefore, the answer to \(5^{3}\) is 125.

The correct option that indicates how Christa sliced the rectangular pyramid is the second option.

Christa sliced the pyramid perpendicular to its base through two edges.

A rectangular pyramid is a pyramid with a rectangular base and four triangular faces.

The height of the cross section indicates that the location where Christa sliced the shape is lower than the apex of the pyramid.

The trapezoid shape of the cross section of the pyramid indicates that the top and base of the cross section are parallel, indicating that Christa sliced the pyramid parallel to a side of the base of the pyramid, such that it intersects two of the edges of the pyramid

The correct option is therefore the second option;

Christa sliced the pyramid perpendicular to its base through two edges

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The sample size used to obtain the 95% confidence interval for the proportion of first-year students at a school who played in intramural sports is approximately 360.

To find the sample size, n, we need to use the formula:

n = (z^2 * p * q) / E^2

Where:
z = the z-score corresponding to the desired confidence level (in this case, it is 1.96 for a 95% confidence level)
p = the proportion of first-year students who played in intramural sports (given as 0.68)
q = the complement of p (q = 1 - p)
E = the margin of error (given as 0.04)

Substituting the given values into the formula, we get:

n = (1.96^2 * 0.68 * 0.32) / 0.04^2
n = 360.15

Therefore, the sample size used to obtain the 95% confidence interval for the proportion of first-year students at a school who played in intramural sports is approximately 360.

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Answer:

Your answer is: \(-4c+23/3\)

Simplify the expression.

Step-by-step explanation:

Hope this helped : )

The coordinates of E, the midpoint of segment AB is (a/2, b/2, 0)

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

B(0, b, 0)

C(0, 0, c)

A(a,0,0)

The coordinates of E, the midpoint of segment AB. is calculated as

E = 1/2(A + B)

using the above as a guide, we have the following:

E = 1/2 * (a + 0, 0 + b, 0 + 0)

When evaluated, we have

E = (a/2, b/2, 0)

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1a. The -1500 rate of change means that the value decreases by $1,500 per year.

1b. The estimated value of the vehicle after 5 years is $17,500.

2. The answer is not reasonable as the rate of decline is car's value is not always constant.

1a. The rate of change of the car's value, -1,500, means that the Dodge Challenger's value decreases by $1,500 per year on average between 2 and 10 years of age.

1b. To interpolate the value of the vehicle when it is 5 years old, use the rate of change from part a, which is -1,500.

1: Determine the number of years between 2 and 5: 5 - 2 = 3 years

2: Multiply the rate of change by the number of years: -1,500 * 3 = -4,500

3: Add this value to the initial value at 2 years: $22,000 + (-4,500) = $17,500

The vehicle's estimated value when it is 5 years old is $17,500.

2. Answer is not Reasonable.

The assumptions the model has made include a constant rate of decline in the car's value, which may not be accurate in reality. Additionally, a car cannot have a negative value. The negative value of -$5,000 at 20 years suggests that the model is not suitable for predicting the car's value for such a long period.

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Answer:

-1 ≤ x ≤ 4

-3≤ y ≤ 4

Step by Step

See the coordinate of first point and the last point

By using  Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is  ln(sqrt(x + x^3)).  The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is  ln(1 + x^2).

The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.

So, applying this theorem, we have:

g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]

= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)

= ln(sqrt(x + x^3))

Therefore, g'(x) = ln(sqrt(x + x^3)).

Using the Fundamental Theorem of Calculus, we have:

g'(x) = d/dx [∫1_x ln(1 + t^2) dt]

= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)

= ln(1 + x^2)

Therefore, g'(x) = ln(1 + x^2).

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____The given question is incomplete, the complete question is given below:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0.  8. g(x) = { In (1+t^2) dt} where limit are from x to 1.

On soloing the provided question, we can say that an equation from the graphs for the function. 3x + 13.5y = 4.5 and x+1.5y = 2

Mathematicians use graphs to logically represent or chart facts or values. Typically, a graph point will show the relationship between two or more objects. A graph is a non-linear data structure made up of nodes, or vertices, and edges. The nodes, also known as vertices, should be joined with glue. This graph's vertices are 1, 2, 3, and 5, while its edges are 1, 2, 1, 3, 2, 4, and 2.5. (3.5). (4.5). Graphical depictions of exponential growth in statistical charts (bar charts, pie charts, line charts, etc.). triangle-shaped logarithmic graph.

an equation for the function.

3x + 13.5y = 4.5

and x+1.5y = 2

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Answer:

it's 3x

the statement says Mai scores three times as many points as Noah...which means Mai scored Noah's points multiplied by 3

3×x

=3x

Answer:

x>12

Step-by-step explanation:

x+3>15

subtract 3 from both sides

x+3-3>15-3

simplify

x>12

hope this helps :) have a nice day !!

When we express the equation 2x - y = 12 in slope intercept form, the result obtained is y = 2x - 12 (2nd option)

The slope intercept form for an equation is written as illustrated below:

y = mx + c

Where

With the above information, we can obtain the slope intercept form of the equation. Details below:

2x - y = 12

Rearrange to make y the subject of the expression, we have

2x = 12 + y

y = 2x - 12

Thus, we can conclude that the equation in the slope intercept form is

y = 2x - 12 (2nd option)

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Complete question:

Given the equation 2x - y = 12, which equation is written in slope intercept form?

y = -2x + 12

y = 2x - 12

y = 2x + 12

y = -2x - 12

Answer:

(3.2, 12)

Step-by-step explanation:

Total cost for gas = $12

Cost per gallon = $3.75

Letting total cost of gas be y and number of gallons be x, maximum number of gallons of gas he can buy would be ;

Total cost of gas/ cost per gallon = 12 / 3.75 = 3.2 gallons

Therefore , the coordinate pair (x, y) = (3.2, 12)

Answer:

17 sq. cm

Step-by-step explanation:

1st you split into 2 smaller shapes

Smaller shape:

A = lw

= 1(2)

= 2

Bigger Shape:

A = lw

= 3(5)

= 15

Add them together

15 + 2 = 17

Answer:

Option 1.) y = 125°

Step-by-step explanation:

We know that sum of exterior angles of any polygon is 360°. Therefore we can say;

70° + 60° + 65° + 40° + y° = 360°

235° + y° = 360°

y = 360 - 235

y = 125°

Therefore the measure of ∠y = 125°

Hope this helps!

Answer:

B (-11, 7) C (11, 7)

Step-by-step explanation:

Answer:

-7 6/14, 1 3/11, 1 3/10, 5 3/10, 6 3/10

Another name for the regression line is the​ least squares line.

A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. The equation of the regression line is used to predict (or estimate) the value of the response variable from a given value of the explanatory variable.

Another name given to regression line is the least squares line because it is chosen so that the sum of the squares of the differences between the observed​ y-value and the value predicted by the line is as small as possible.

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Answer:

Your Y-intercept is 4/3.

Step-by-step explanation:

The X intercept would be 0 and the Y intercept is 4/3, making the coordinate (0, 4/3).