true or false if the discriminant of a quadratic equation is positive, then the equation has two solutions that are negatives of one another

Answer:

What is the purpose of the Article

Step-by-step explanation:

it makes the most sense but I could be wrong

In this scenario, we are considering an investment that will pay $3,000 in 34 years. We are given an appropriate discount rate of 8 percent. To determine the present value of this investment, we can use the present value formula. Additionally, we are provided with the information that the investment is being sold for $773, and we need to calculate the rate of return investors will earn on this investment.

a. Present value of the investment:

To calculate the present value of the investment, we use the present value formula:

Present Value = Future Value / (1 + Discount Rate)^n,

where Future Value is $3,000, the Discount Rate is 8 percent (0.08), and n is the number of years, which is 34 in this case.

Present Value = $3,000 / (1 + 0.08)^34 = $219.13

Therefore, the present value of the investment, considering an 8 percent discount rate, is $219.13.

b. Rate of return on the investment:

The rate of return on an investment is calculated using the formula:

Rate of Return = (Future Value - Purchase Price) / Purchase Price * 100,

where Future Value is $3,000 and the Purchase Price is $773.

Rate of Return = ($3,000 - $773) / $773 * 100 ≈ 288.46%

Therefore, the rate of return investors can earn on this investment, if they buy it for $773, is approximately 288.46%.

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The x-intercept of the given linear function is 0 and the graph of the linear ufnction is shown.

So, plot the linear function:

(Refer to the graph attached below)

Therefore, the x-intercept of the given linear function is 0 and the graph of the linear ufnction is shown.

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Answer:

105 ft³

Step-by-step explanation:

Volume:

length * width * height

In this case:

3 ft * 5 ft * 7 ft

We got 105 ft³

Hope this helps ^^

The integers on the number line are –8 and –2.

In Mathematics, integers are the collection of whole numbers and negative numbers. Similar to whole numbers, integers also does not include the fractional part. Thus, we can say, integers are numbers that can be positive, negative or zero, but cannot be a fraction. We can perform all the arithmetic operations, like addition, subtraction, multiplication and division, on integers.

So, the integer -8 is going to the left of the number line which is getting smaller and -2 is going to the right of the number line which is getting larger.

Hence, the integers on the number line are –8 and –2.

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The number line and the complete question is attached below.

Answer:

10

Step-by-step explanation:

Assuming that each square is one unit, you plug it into the distance formula.

The correct answer is B. created in an iterative and incremental manner.

Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs are developed in an iterative and incremental manner. This means that they are built and refined over time as the project progresses, allowing for adjustments and additions to be made as new information becomes available. The evolutionary WBS is not organized in a standard manner across all projects (A) and it is not specifically designed for comparison to past projects (C). Therefore, the answer is B. created in an iterative and incremental manner.

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Answer: honestly for the first one, i think the answer would be 2.

they both have 5 at the end so you know its divisible :)

Step-by-step explanation:

Answer:the awsner is 2

Step-by-step explanation:

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The percentage increase in the price of a gallon of gas is 80.84 %.

Given,

Jason bought a gallon of gas in 1992 = $1.20

He bought a gallon of gas yesterday = $2.17

Using the formula for the percentage increase in the price,

= ( New Price - Old Price) / Old Price × 100

= ( 2.17 - 1.20) / 1.20 × 100

= 80.84%

Therefore, the percentage increase in the price of a gallon of gas from 1992 to yesterday is 80.84 %.

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The factored form of the expression \(x^2 - 9\) is \((x+3)(x-3)\)

The expression x^2 + 9 has no real roots hence cannot be factored

Quadratic equations are equations with a degree of 2.

Given the quadratic function \(x^2-9 \ and \ x^2+9\)

For the function \(x^2 - 9\)

\(=x^2-9\\=x^2-3^2\)

Using the difference of two squares:

\(a^2-b^2=(a-b)(a+b)\\x^2-3^2=(x-3)(x+3)\)

For the expression x^2 + 9

The expression x^2 + 9 has no real roots hence cannot be factored

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It will travel the length of the perimeter of its wheel:

Then, we want to find the perimeter.

Since its diameter is 66 cm, then its radius is 33 cm (its half):

Since the perimeter is given by:

perimeter = 2πr

↓ since r = 33cm and π ≅ 3.14

perimeter = 2 · 3.14 · 33cm ≅ 207 cm

Answer: B

The task requires devising a recursive definition for the set S, which contains all strings from A* in which there is no b before an a.

To create a recursive definition for S, we need to consider two cases: a string that starts with an "a" and a string that starts with a "b." For the first case, we can define the set S recursively as follows:

λ ∈ S (the empty string is in S)

If w ∈ S, then aw ∈ S (concatenating an "a" at the end of a string in S results in a string that is also in S)

If w ∈ S and x ∈ A*, then \(wx\) ∈ S (concatenating any string in A* to a string in S results in a string that is also in S)

For the second case, we only need to consider the empty string because any string starting with a "b" cannot be in S. Thus, we can define S recursively as follows:

λ ∈ S

If w ∈ S and x ∈ A*, then xw ∈ S

These two cases cover all possible strings in S, as they either start with an "a" or are the empty string. By using recursive rules to concatenate characters at the beginning or end of strings in S, we can generate all valid strings in the set without generating any invalid strings that contain a "b" before an "a."

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Given:

The pyramid has base sides measurements 6 cm and slant height 8 cm.

Required:

What is the surface area of the pyramid?

Explanation:

The surface afrea formula fo pyramid:

We have base sides equal 6 cm and slant height equals 8 cm.

So,

Answer:

Surface area of pyramid equals 132 cm square.

Answer:

1766 using 3.14 for pi

1767 using the pi button

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

we need to know the radius

r =d/2 = 15/2 = 7.5

V = 4/3 (pi)( 7.5)^3

V =562.5 pi

Approximating pi by 3.14

V = 562.5 (3.14)

V =1766.25

To the nearest whole number

V = 1766

If you use the pi button

1767.14586

To the nearest whole number

1767

Answer:

\(V=1767\)

Step-by-step explanation:

Step 1:  Find the volume of the sphere

Volume of a Sphere:  \(V=\frac{4}{3}\pi r^{3}\)

Find the radius

\(Radius = Diameter / 2\)

\(Radius = 15 / 2\)

Plug in the values and solve

\(V=\frac{4}{3}\pi * \frac{15}{2}^{3}\)

\(V=\frac{4}{3}\pi * \frac{3375}{8}\)

\(V=\frac{1125}{2}\pi\)

\(V=1767\)

Answer:  \(V=1767\)

Answer:

B

Step-by-step explanation:

We need to find the radio between earth weight and venus weight, which is:

120 ÷ 106 = 1.1320754717

This number means 1 pound of venus weight is equal to 1.1320754717 of earth weight.

if there's a 180 pound earth weight and we need to find the venus weight, the calculation might loooks like this:

180 ÷ 1.1320754717 = 159 pounds

If f is continuous and (0.10) ∫ f(x) dx = 16 then (0.2) ∫ f(5x) dx = (0.2/0.1) × 16 = 32.

The question is asking to evaluate the integral of f(5x) from 0 to 0.2. To do this, we can use the properties of continuous functions and the given information. Since f is continuous, then f(5x) is also continuous. This means we can substitute the bounds of the integral with the given information.

From the given information, we know that (0.1) ∫ f(x) dx = 16. We can use this to rewrite the integral as (0.2/0.1) × (0.1) ∫ f(5x) dx since the integral is being evaluated over a larger interval.

Therefore, (0.2) ∫ f(5x) dx = (0.2/0.1) × 16 = 32.

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Answer:

-28!

i did the math

4(3+(−3)(−2))−((2)(4))2

Answer:

4

Step-by-step explanation:

First substitute all numbers into the equation:

= 4 ( 3 + ( -3 )( -2 ) ) - 2 ( 4 )^2

Then simply answer the question and evaluate:

= 4 ( 3 + ( 6 ) ) - 2 ( 16 )

= 4 ( 9 ) - 2 ( 16 )

= 36 - 2 ( 16 )

= 36 - 32

= 4

The answer is 4.

The expression -5 + 28p9q5 - 12pq + 7 is equivalent to 7. Since all the terms except the last one contain variables, we can use algebra to solve for the value of the expression.

Algebra is a branch of mathematics which deals with the manipulation of equations, inequalities, and other mathematical expressions. Algebra is used to solve equations, simplify expressions, and model real-world problems.

To begin, we can add -5 and 7 to obtain 2. This means that the expression is now equal to 2 + 28p9q5 - 12pq. We can then simplify this expression by combining like terms.

Since 28p9q5 and -12pq are both products of the same variables, we can add them together. When we do so, we obtain 16p9q5, which means that the expression is now equal to 2 + 16p9q5.

Finally, we can simplify the remaining term by breaking down the product. We can divide 16 by 8 to obtain 2, and then divide 9 by 3 to obtain 3. This means that the expression is now equal to 2 + 2p3q5. Since there are no more terms to simplify, we can conclude that the answer is 2.

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Rounding this answer to the nearest two decimal places, the time constant of the RC circuit is 9,386,494.56 seconds.

The time constant of an RC circuit can be calculated using the formula:
Time Constant (τ) = R * C
Given that R = 14,104 ohm and C = 665.89, we can substitute these values into the formula:
τ = 14,104 * 665.89
Calculating this expression, we find that the time constant is approximately 9,386,494.56 ohm-seconds.
Rounding this answer to the nearest two decimal places, the time constant of the RC circuit is 9,386,494.56 seconds.

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Let \(x\) be the "given angle" mentioned here. Then its complement indeed has measure \(90-x\), and its supplement \(180-x\).

Now translate the following sentence into an equation:

"The supplement of a given angle is 10° more than twice its complement."

\(\implies 180 - x = 10 + 2 (90 - x)\)

Solve for \(x\).

\(180 - x = 10 + (180 - 2x)\)

\(180 - x = 190 - 2x\)

\(2x - x = 190 - 180\)

\(\boxed{x = 10}\)

Answer:

Step-by-step explanation:

the upper left graph is the correct answer

because "... or equal to" always represents a filled dot, while just "greater/less than" represents blank dot

The length of the altitude of the equilateral triangle ABC is \(\frac{13\sqrt{3} }{2}\).

Equilateral Triangle is defined as the triangle with all the sides equal and all the angles = 60 deg.

Altitude of a Triangle can be defined as the perpendicular drawn from the vertex of a triangle to the opposite side.

According to the question

In the figure given below

In ΔADC

Since ΔADC is a right angle triangle we can apply Pythagoras Theorem.

Let the sides of the equilateral triangle be "a". and "h" be the altitude.

Since the altitude is of equilateral triangle it divides the base i.e. DC=a/2

\((AC)^{2} =(AD)^{2}+(DC)^{2}\)

\(a^{2} =h^{2}+(\frac{a}{2})^{2}\\ \\ h^{2}=\frac{4a^{2}-a^{2}}{4} \\ \\ h=\sqrt{3} *\frac{1}{2} *a\)

Substituting the value of a=13 we get

Altitude \(h=\frac{13\sqrt{3} }{2}\)

Therefore , The length of the altitude of the equilateral ΔABC is \(\frac{13\sqrt{3} }{2}\).

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I don't know if you need to solve the x but that what are going to do

Answer: 13/6

Step-by-step explanation:

2x - 3 = 9-4x

2x + 4x = 9 + 4

6x = 13

X= 13/6

Or

X= 2.16

If  x = ≥ 7/3 this equation gives an Imaginary value for y, so it is still a function; it is just not a real valued function.

What is function explain?

the Domain of x will be limited (assuming by "function" we mean a "real value function")

y² = 3x - 7

\(y = \sqrt{3x - 7}\)

which gives a unique value provided x = ≥ 7/3

If  x = ≥ 7/3 this equation gives an Imaginary value for y, so it is still a function; it is just not a real valued function).

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Answer:

A

Step-by-step explanation:

Smallest to Largest

Natural numbers

Whole numbers

Integers

Rational numbers

The number of miles in the taxi ride is 18 miles

Equation:19.70=1.70+1x

Answer: x =18

What is the total fare?

The total fare for the taxi is the pick-up fee of $1.70 plus the $1 per mile multiplied by the number of miles covered

Total fair=1.70+1x

x is the number of miles covered

Total fair=19.70

19.70=1.70+1x

19.70-1.70=1x

18.00=1x

x=18.00/1

x=18

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A14 adaults 11 kids

Step-by-step explanation:

Answer: impossible.....

Step-by-step explanation:

Answer: 1,3 on edg 2020

Step-by-step explanation:

Answer:

1st and 3rd

Step-by-step explanation:

EDG correct :)