Nathan is going to a water park today. He knows that the cost of admission is at least $12 per person. If c stands for the cost of admission, which of the following inequalities represents the cost of admission for the water park?

c > 12
c < 12
c ≥ 12
c ≤ 12

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

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.

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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The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma's house. Therefore, it would be 2 cups and 4 oz leaked out.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma's house.

There are 8 oz in a cup

So,

8 x 3 = 24 which is too high

So,

8 x 2 = 16 leaving about 4 oz left

Therefore, it would be 2 cups and 4 oz leaked out.

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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 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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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 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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Answer:

Equation which exemplifies the associative property of addition is:

4+(2+1) = (4+2)+1

Step-by-step explanation:

The associative property of addition says that:

if a,b and c are the three terms

Then,

a+(b+c)=(a+b)+c

which is given in the equation:

4+(2+1) = (4+2)+1

Hence, equation which exemplifies the associative property of addition is:

4+(2+1) = (4+2)+1

Mari works at most 20 hours per week.

To find the greatest number of hours that Mari works, we can divide her total weekly earnings by her hourly wage. In this case, we divide $143.50 by $7. The result is approximately 20.5. Since Mari cannot work a fraction of an hour, we round down to the nearest whole number. Therefore, the greatest number of hours she works is 20 hours.

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 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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Answer:

68 = 2L + 2(9)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Alright, lets get started.

Distance we can see from the building d is given as 27 miles.

We are asked to find height of the building h

The formula is given as [tex]d=\frac{5}{6}\sqrt{h}[/tex]

Plugging the value of d

[tex]27=\frac{5}{6}\sqrt{h}[/tex]

Cross multiplying

[tex]\sqrt{h}=\frac{6}{5}*27[/tex]

[tex]\sqrt{h}=32.4[/tex]

Taking square root on both sides

[tex]h=1049.76[/tex]

So, the height of the observation desk is 1050 feet.   :   Answer

Hope it will help :)

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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The other answer was using the formula correctly through most of the problem, but made a mistake when finding the last distance (#5). The person took away (-2-6 = - 4), which is incorrect. The correct answer is -8 because your adding two negatives. So, the correct answer for the whole problem is 24 units.

Good job to the person who answer they did the whole math problem - just made a little mistake at the end.

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

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)

1 hour = 60 minutes

12/60 = 0.2 miles per minute