Which of these investments may be long term? Check all that apply.
O savings accounts
O mutual funds
O bonds
O retirement funds
O commodities

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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Answer:

B) They

C) It

Step-by-step explanation:

A pronoun is the subject, so when your talking about something/someone.

Answer:

15x+9y

Step-by-step explanation:

1) Add: 12x+18x+18y= 30x+18y

2)Factor (divisible by 2)

3)Divide 2 from 30 and 18 so,

4)15x+9y

The solution is:

The inverse of the given equation is ±sqrt(x+1).

Here, we have,

given equation is :

y = x^2 -1

now, we have to find the inverse of the given equation

so, we have,

Exchange x and y, we get,

x = y^2 -1

Solve for y, we get,

Add 1 for each side

we get,

x+1 = y^2-1+1

x+1 = y^2

Take the square root of each side

we get,

±sqrt(x+1) = sqrt(y^2)

±sqrt(x+1) = y

The inverse is ±sqrt(x+1)

Hence, The solution is:

The inverse of the given equation is ±sqrt(x+1).

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complete question:

If f(x) = x^2 -1, what is the equation for f–1(x)?

Answer:

A. Circle  -2.5x and 1.7x list x  B. List t and s C. Circle 15k and 2/5k list k and m

Step-by-step explanation:

You do it??

The count of numbers in the list a, a+1, a+2.... b is b - a + 1

The list of numbers is given as:

a, a+1, a+2.... b

From the above list, we can see that the numbers are consecutive numbers.

This means that, the count of numbers in the list is

Count = Highest - Least + 1

Where

Highest = b

Least = a

Substitute the known values in the above equation

Count = b - a + 1

Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1

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Answer:

The unit cost is 6

Step-by-step explanation:

Notice how the first point lands on (2,12) and how a "unit cost" is per one unit. So, if you divide 12 by 2, you would get a unit cost of 6.

The volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis is 51π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

V = 2π ∫ [a, b] x * h(x) dx

Where:

- V is the volume of the solid

- π represents the mathematical constant pi

- [a, b] is the interval over which we are integrating

- x is the variable representing the x-axis

- h(x) is the height of the cylindrical shell at a given x-value

In this case, we need to solve for x in terms of y to express the equation in terms of y.

Rearranging the given equation:

x = 5 ± √(1 - y)

Since we are only interested in the region in the first quadrant, we take the positive square root:

x = 5 + √(1 - y)

Now we can rewrite the volume formula with respect to y:

V = 2π ∫ [c, d] x * h(y) dy

Where:

- [c, d] is the interval of y-values that correspond to the region in the first quadrant

To determine the interval [c, d], we set the equation equal to zero and solve for y:

1 - (x - 5)² = 0

Expanding and rearranging the equation:

(x - 5)² = 1

x - 5 = ±√1

x = 5 ± 1

Since we are only interested in the region in the first quadrant, we take the value x = 6:

x = 6

Now we can evaluate the integral to find the volume:

V = 2π ∫ [0, 1] x * h(y) dy

Where h(y) represents the height of the cylindrical shell at a given y-value.

Integrating the expression:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * h(y) dy

To find h(y), we need to determine the distance between the y-axis and the curve at a given y-value. Since the curve is symmetric, h(y) is simply the x-coordinate at that point:

h(y) = 5 + √(1 - y)

Substituting this expression back into the integral:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

Now, we can evaluate this integral to find the volume

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

To simplify the integral, let's expand the expression:

V = 2π ∫ [0, 1] (25 + 10√(1 - y) + 1 - y) dy

V = 2π ∫ [0, 1] (26 + 10√(1 - y) - y) dy

Now, let's integrate term by term:

\(V = 2\pi [26y + 10/3 * (1 - y)^\frac{3}{2} - 1/2 * y^2]\)] evaluated from 0 to 1

V = \(2\pi [(26 + 10/3 * (1 - 1)^\frac{3}{2} - 1/2 * 1^2) - (26 * 0 + 10/3 * (1 - 0)^\frac{3}{2} - 1/2 * 0^2)]\)

V = 2π [(26 + 0 - 1/2) - (0 + 10/3 - 0)]

V = 2π (25.5)

V = 51π cubic units

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Answer:

0.180144 < p < 0.339856

Step-by-step explanation:

According to the Question,

⇒ standard error of the sample is square root(0.26 * (1-0.26) / 200) = 0.031

⇒alpha(a) = 1 - 99/100 = 0.01

⇒critical probability(p*) = 1 - a/2 = 0.995

⇒assuming a normal distribution, look for the z-score associated with 0.995 cumulative probability , z-score = 2.576

⇒margin of error(ME) = 2.576 * 0.031 = 0.079856

0.180144 < p < 0.339856

Answer:

Correlation Coefficient

Step-by-step explanation:

The correlation coefficient (r) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables.

Answer:

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Part a)

Given the equation

\(9x-3y-9=0\)

Writing the equation in the slope-intercept form of the line equation

\(9x-3y-9=0\)

adding 3y to both sides

\(9x-3y-9+3y=0+3y\)

\(9x-9 = 3y\)

flip the equation

\(3y = 9x-9\)

divide both sides by 3

\(y=3x-3\)

Thus, the equation in the slope-intercept form is:

\(y=3x-3\)

Part b)

As the equation in the slope-intercept form is

\(y=3x-3\)

comparing with the slope-intercept form

Part c)

Given the equation

\(y=3x-3\)

The graph is attached below.

From the given graph, is clear that:

at x = 0, the value of y = -3

Thus, the y-intercept of the equation is b = -3

Please check the attached graph.

Answer:

34 28 37 56 34 37 28 20 43 15

From the question;

We are to find the greatest common factor of the following monomials

solution

By prime factorisation

From the above factorisation

The Greatest common factor is

Therefore the greatest common factor is

Answer:

The steps Erin has to take for the reconciliation of her account and activities is as follows: Select the reconciled transactions, Select Batch actions, and Modify the selected ones.

Step-by-step explanation:

Solution

Since Erin could not detect any matches for the transactions she has entered before and enrolled, she needs to take the following processes to reconcile back all her credit activities which is stated below:

Process 1 :Select the reconciled transactions

Process 2 :Batch Actions

Process 3: Modify Selected

From the process stated above Erin can first of all choose the reconciled transactions, after that she can select the batch actions and lastly modify the ones that was selected with the aim of putting or adding them back in the account reconciliation.

The possible values for the discriminant include the following:

A. -1

D. -18

In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.

Discriminant, D = b² - 4ac

In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.

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Complete Question:

The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.

A. -1

B. 3

C. 0

D. -18

Answer:

u got add all the number that has y and you will  got 28yand 25

Step-by-step explanation:

Answer:

155

Step-by-step explanation:

8y+5+7y=13y+25

15y+5=13y+25

15y-13y=25-5

2y=20

y=10

AC=13y+25=

13(10)+25=

130+25=

155

Answer:

441

Step-by-step explanation:

Get each side of the square
84/4 = 21
Multiply to get the area
21*21 = 441

Answer:

441 feet

Step-by-step explanation:

4 times s is how you find the perimeter of a square so we can put this in an equation

4s=84

/4. /4

s=21

Now to find area we multiply side by side or side squared

21x21

441

Hopes this helps please mark brainliest

Answer: To find the perimeter of a triangle, we need to add the length of all three sides of the triangle.

To find the length of each side, we can use the distance formula which is the square root of (x2-x1)^2 + (y2-y1)^2.

The distance between point A (9,-2) and point B (5,1) is: √((9-5)^2 + (-2-1)^2) = √16 + 9 = √25 = 5.

The distance between point B (5,1) and point C (9,-3) is: √((9-5)^2 + (-3-1)^2) = √16 + 16 = √32 = 5.66.

The distance between point C (9,-3) and point A (9,-2) is: √((9-9)^2 + (-3- -2)^2) = √1 + 1 = √2 = 1.41

The perimeter is the sum of the length of all three sides:

Perimeter = 5 + 5.66 + 1.41 = 12.07

Round the answer to two decimal places, the perimeter of the triangle is 12.07.

Step-by-step explanation:

Answer:

16 hours i think or 8 rip

Step-by-step explanation:

10 + 24 divided by 276

To find the area of the regular 12-gon inscribed in a unit circle, first calculate the area of a regular octagon. The area of a regular octagon is equal to two times the length of one side squared, multiplied by the constant π/2. Since all the sides of a regular octagon inscribed in a unit circle have length 1, we can calculate the area of the octagon as 21^2(π/2) = π.

Next, divide the octagon into four red regions, each with an area of 12. To calculate the area of the blue region, subtract the total area of the four red regions (12*4 = 48) from the area of the octagon (π). This gives us an area of π - 48 = 8 for the blue region.

To find the distance from O to PQ in the isosceles triangle OPQ, use the Pythagorean theorem. Since the base of the triangle has length 2, and the legs of the triangle have length OP=OQ, we can calculate the distance from O to PQ as the square root of 2^2 - (OP)^2, which is equal to √2.

To find the area of the smaller hexagon, subtract the area of triangle ACE from the area of triangle BDF. The area of an equilateral triangle with side length 2 is √3/4, so the area of triangle ACE is (√3/4)2 = √3/2. Similarly, the area of triangle BDF is (√3/4)2 = √3/2. Subtracting these two values gives us an area of 0.5 for the smaller hexagon.

Lastly, to find the measure of [ABCDE], use the fact that the sum of the interior angles of a regular polygon is equal to (n-2)180°, where n is the number of sides of the polygon. In this case, n = 5, so the measure of [ABCDE] is (5-2)180° = 120°.

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Answer:

8.8

See the attached picture below:

The angle θ = 90° is not a solution to trigonometric equation sin 2θ = 1. (Right choice: A)

In this problem we must determine what angle is not a solution of a given trigonometric equation. The solution set is found by means of algebra properties and trigonometric formulas:

sin 2θ = 1

2θ = 90° + 360° · i, where i is a whole number.

θ = 45° + 180° · i

According to this expression, θ₁ = 45°, θ₂ = 225° and θ₃ = - 135° are solutions to this equation. θ = 90° is not a solution of sin 2θ = 1.

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The program goes through the following steps when the input is 13

step 1) check to see if the age is less than 2. It is not, so we move on

step 2) check to see if the age is 2 to less than 12. It is not, so we move on

step 3) check to see if the age is 12 to less than 22. We are in the right range, so we execute the print statement "student admission is $8"

After this the program is done. It doesn't check to see if the age is greater than 22 (that only would apply if the other if statements were false).

So we have four steps. The first three are checking those "if" statements mentioned. The fourth statement is executing the print output to show the price.

Answer:

It would take 3 steps before executing

Step-by-step explanation:

The amount that would be in the savings account after 5 years given the annual interest and the amount deposited is $ 11, 204. 13

The value of the savings account in 5 years can be found by the future value formula which is :
= Amount deposited x ( 1 + rate ) ^ number of years

Amount deposited = $ 10, 000

Rate = 2. 3 %

Number of years = 5 years

The value in five years is then :

= 10, 000 x ( 1 + 2. 3 % ) ⁵

= 10, 000 x 1.120413075641343

= $ 11, 204. 13

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The full question is:

If 10,000 is deposited into a savings account that pays 2.3% annual interest, how much more would the amount in the account be valued in 5 years ?

The most appropriate for this measurement will be finding the perimeter of your bedroom to hang lights. Then the correct option is D.

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

You complete a project and record measurements in feet.

The type of project that would be most appropriate for this measurement will be finding the perimeter of your bedroom to hang lights.

Since, if the error occurs, then the error will increase in finding the area and volume.

Then the correct option is D.

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Answer:

125 times is the answer

Step-by-step explanation:

do simple math:

\(\frac{5}{12}\) × 300

= 125

Being the answer

125 being the answer