Express the area a of an equilateral triangle as a function of the length of its side s

Apothecary abbreviations or apothecary symbols are usually found in medical recipes. For this case, we are to write 10 ounces into apothecary symbols. In this abbreviation, numbers are written in Roman Numeral and the unit precede the number, hence:

oz x

10 ounces can be written as 10 oz in apothecary abbreviations.

To write 10 ounces using apothecary abbreviations, we need to convert ounces to the appropriate apothecary unit. In the apothecary system, 1 ounce is abbreviated as oz. So, 10 ounces would be written as 10 oz in apothecary abbreviations.

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1 hour = 60 minutes

12/60 = 0.2 miles per minute

the answer is A just had the practice quiz

Converse statement of "If Jack’s pet is a pig, then Jack’s pet cannot fly,” is given by " q → p, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly."

" Converse statement is defined as when the hypothesis and conclusion of a statement interchange or reversed."

According to the question,

Given,

p → q

Hypothesis of a statement 'p': If Jack’s pet is a pig

Conclusion of a statement 'q' : then Jack’s pet cannot fly

Converse of a statement is given by reversing hypothesis and conclusion we get,

q → p

Hypothesis of a statement 'q' : If Jack’s pet cannot fly

Conclusion of a statement  'p': then Jack’s pet is a pig

Hence, converse statement is given by  q → p, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly.

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Stock B is worth more in 50 years, $1,575.84 more per share.

To determine which stock option is worth more in 50 years, we need to find the value of each stock after 50 years.

For Stock A, we have the equation: an = 15n + 130. Plugging in n = 50, we get a50 = 15(50) + 130 = $880.

For Stock B, we have the equation: an = 36(1.09)n - 1, where n is the number of years. Plugging in n = 50, we get a50 = 36(1.09)^50 - 1 = $2,455.84.

Therefore, Stock B is worth more in 50 years, $1,575.84 more per share.

Answer:

A) 956.5 in^2

Step-by-step explanation:

took the test

The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.

A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.

here, we have,

given that,

the derivative of f(x) = 7 divided by x at x = 1.

so, we get,

F(x) = 7/x

Same as..

F(x) = 7x^-1

we know that,

d/dx (x^n) = n*x^n-1

so, using this, we get,

Take derivative..

F'(x) = -7x^-2

Plug in x = 1

F'(1) = -7(1)^-2

F'(1) = -7

Hence, The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.

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We know that:

1 south African rand = 0.075 usd

1 kuwaiti dinar = 3.31 usd

1 japanese yen = 0.0089 usd

Therefore the total money in usd is:

total usd = 150 rand * (0.075 usd / 1 rand) + 350 dinar * (3.31 usd / 1 dinar) + 200 yen * (0.0089 usd / 1 yen)

total usd = 1,171.53 us dollars 

he length of the shortest side is 32

Given the length if the sides of the triangle to be 8, 15 and 17. If the longest side of a similar triangle is 51, then the scale factor will be expressed as:

Scale factor  = 51/17

Scale factor = 4

For the shortest side;

Length  = 8 * scale factor

Length  = 8 * 4

Length = 32

Hence the length of the shortest side is 32

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The equivalent expression is 8x + 2y.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5x + 2y + 3x

Add like terms.

8x + 2y

Thus,

The final expression is 8x + 2y.

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the answer will be 120,000

64.84% of the students in the school have a cell phone.

To find the percentage of students with cell phones, divide the number of students with cell phones by the total number of students, then multiply by 100.

Find the fraction of students with cell phones: [tex]\( \frac{792}{1220} \)[/tex].

Divide to get the decimal: [tex]\( \frac{792}{1220} = 0.6484 \)[/tex].

Multiply by 100 to get the percentage: [tex]\( 0.6484 \times 100 = 64.84\% \)[/tex].

the answer is A. Line

The Geometric Term that best approximates this reality is option A (A line).

Planes usually travel in a straight Line at constant Speed, Flight Path represents the Trajectory taken by the Plane and shown on radar, which can be either a Line or a Curve.

Hence, the Geometric Term that best approximates this reality is option A (A line).

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Answer:

68 = 2L + 2(9)

Step-by-step explanation:

Answer: B

2X.2X^2+2X.(-5)+3.2X^2+3.(-5)

Step-by-step explanation:

(2X+3) (2X^2-5)

Cross multiply (2X+3) by (2X^2-5)

2X*2X^2+

2X*(-5)+

3*2X^2+

3*(-5)

= 2X*2X^2+2X*(-5)+3*2X^2+3*(-5)

The polynomial function of least degree with rational coefficients, a leading coefficient of 1, and the given zeros 7, 1 + i, and 1 - i is f(x) = x^3 - 9x^2 + 21x - 14.

In mathematics, zeros are the x-values where a function touches or crosses the x-axis, or the values where f(x) = 0. When a polynomial has rational coefficients and you have a complex zero (a + bi), the conjugate of that zero (a - bi) also needs to be a zero of the polynomial. This is based on the Complex Conjugate Root Theorem. Hence, in this case, the other zero will be 1 - i.

Since you are given zeroes of 7, 1 + i, and 1 - i, the polynomial function of least degree is obtained by employing the Factor Theorem, which states that if k is a zero of a polynomial, then (x - k) is a factor of the polynomial.

Therefore, f(x) = (x - 7)(x - (1 + i))(x - (1 - i)) = (x - 7)(x^2 - 2x + 2). So, f(x) = x^3 - 9x^2 + 21x - 14 is the polynomial function of least degree with rational coefficients, a leading coefficient of 1, and the given zeros.

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The polygon would have 24 sides.

[tex]\frac{180n -  360}{n}[/tex] ≈ [tex]\frac{360}{n}[/tex] ([tex]\frac{11}{1}[/tex])

[tex]\frac{180n -  360}{n}[/tex] = [tex]\frac{3960}{n}[/tex]

180n - 360 = 3,960

180n = 4,320

n = 24

De Morgan's laws of distributing negation over disjunction and conjunction states that

144 degrees is the measure of the interior angles of the polygon.

In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:

• Triangle

• Quadrilateral

• Pentagon

• Hexagon

• Heptagon

• Octagon

• Nonagon

Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees. Therefore, the smallest angle of rotation that maps (carries) a regular polygon onto itself can be calculated by using this formula:

α = 360/n

The sum of the measures of the interior angles of an n-sided polygon is given by the formula:

S = (n - 2) × 180 degrees

So, for a 10-sided polygon, we have:

S = (10 - 2) × 180 = 8 × 180 = 1440 degrees

To find the measure of each interior angle, we divide the sum by the number of angles (which is the same as the number of sides for a polygon):

m = S/n = 1440/10 = 144 degrees

Therefore, each interior angle of a 10-sided polygon has a measure of 144 degrees.

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Answer:

[tex]17[/tex]

Step-by-step explanation:

Let the number of students in pottery class be [tex]x[/tex]

Price each student pays for the class = [tex]\$15[/tex]

Price each student pays for the material = [tex]\$27[/tex]

Total earning of pottery class = [tex]\$714[/tex]

We can write this in expression as-

[tex]15x + 27x = 714[/tex]

Solving the expression we get[tex]15x + 27x = 714\\42x = 714\\x = \frac{714}{42} \\x = 17[/tex]

There are total [tex]17[/tex] students in the class this month