In a particular city, taxi charge an initial fee of $3. 30 plu $2. 10 per mile. How far can a paenger travel for $49. 50

The distance between friend's house and home is 14.263 miles.

What is distance?

The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line.

What is tan?

the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Given,

The distance he covered to west (base) = 17 miles

angle = 24°

tan 24°= perpendicular/base

tan 24° = perpendicular/17

p = 0.836/17

=14.263 miles.

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Answer: It would be 1.7 × 10^2.

Step-by-step explanation:

Following equation represents a circle with its Centre at the origin is ,

[tex]x^2 +y^2=25[/tex].

What is circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

What does origin mean math?

The origin is the point at which all lines in a coordinate system intersect. When x and y are both equal to zero, the axes intersect. The origin's coordinates are (0, 0).

What is equation?

An equation is a mathematical statement that demonstrates the equality of two mathematical expressions.

What is Pythagoras theorem?

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, [tex]a^2 + b^2=c^2[/tex], are equal to the squares on the legs.

If we take any point P(x, y) on the circle, then OP = 5 is the radius of the circle.

But OP is also the hypotenuse of the right-angled triangle OPN, formed when we drop a perpendicular from P to the x-axis.

Now in the right-angled triangle, ON = x and NP = y. Thus, using the theorem of Pythagoras,

[tex]x^2 + y^2 = 5^2 = 25[/tex].

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Answer:

yes

Step-by-step explanation:

as A increases w increases

Answer:The answer would be the A

Step-by-step explanation:

Answer:

40x + 20y < 480

Step-by-step explanation:

the inequality: 40x + 20y <(with a line under the < sign)480

The measure of angle P as well as angle Q is 76.825. Hence, option D is correct.

When two lines converge at a point, they produce an angle. The word "angle" refers to the length of the "gap" between these two rays. The symbol is used to denote it.

Radians, a unit of roundness or rotation, and degrees are the 2 most common units used to measure angles. In daily life, angles are present.

As per the given data from the question,

Angle P and Q are congruent and,

Angle, ∠R = 26.35°

Suppose ∠P = a

The sum of all the three angles of a triangle is 180°.

x + x + 26.35° = 180°

2x = 180° - 26.35°

x = 76.825°.

Therefore, ∠P will be equal to 76.825°.

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The common ratio and the 1st term will be 2/3 and 81. And the least number of terms for which the sum exceeds 240 will be 11.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The amount of the first 2 terms of a remarkable grouping is 135 and the amount of the third and fourth terms is 60. Then the equations are given below.

a + ar = 136                 ...1

ar² + ar³ = 60

r²(a + ar) = 60               ...2

From equations 1 and 2, then we have

r² x 135 = 60

r² = 60/135

r² = 4/9

r = 2/3

Then the value of 'a' is given as,

a + (2/3)a = 135

a = 81

Then the least number of terms for which the sum exceeds 240 will be given as,

Sₙ > [a₁ (1 - rⁿ)] / (1 - r)

240 > [81(1 - 0.66ⁿ)] / (1 - 0.66)

240 > 243(1 - 0.66ⁿ)

0.9876 > 1 - 0.66ⁿ

0.66ⁿ > 1 - 0.9876

n log 0.66 > log 0.012345

n > 10.57

n = 11

The common ratio and the 1st term will be 2/3 and 81. And the least number of terms for which the sum exceeds 240 will be 11.

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Answer:

A: y=3x-1

Step-by-step explanation:

we can use slope formula to get the rate of change

y2-y1/x2-1

3-1/1-0

2/1

2 is the rate of change

so A has the rate of change of 3 so it’s the only one with the greater one

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Sally will get a total of 72 servings for her Thanksgiving dinner.

In this problem we knows that Sally has 36 guests for Thanksgiving dinner, one third of which, that is, 12 guests, brought a dessert and each dessert could serve 6 guests. The total number of servings (r) is equal to the number of desserts (n) and the expected quantity of guests per dessert (q), that is:

r = n · q

r = 12 · 6

r = 72

There are a total of 72 servings.

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Haywood is wrong because he collected 1,250 signatures in 15 days not 1250 signatures.

Given that, Haywood collects 85 signatures each day for a petition.

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

Number of signatures Haywood collected in 15 days is

85×15=1275

Since, Haywood said has collected 1,250 signatures in 15 days

So, Haywood is wrong

Therefore, Haywood is wrong because he collected 1,250 signatures in 15 days not 1250 signatures.

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Answer:

yes your answer is correct

No it is not a right angled triangle.

acc to our question-

Hence, no sides are equal to 90 degrees.

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Answer: -2.00

Step-by-step explanation:

The parent function for linear functions is y=mx +b.

First, find the slope using the slope formula (y2-y1)/(x2-x1)

(30-10)/(8-3) = 20/5 = 4

Now, plug in known values to solve for "b", which is the y-intercept:

10 = 4(3) + b

10 = 12 + b

10 - 12 = b

-2 = b

Answer:

the first equation

Step-by-step explanation:

The 6 is the same amount no matter the weight of the dog.  .5x represents 50 for each pound.

If a dog weight 20 pounds, it would cost 6 + .5(20)  

If a dog weight 30 points it would cost 6 + .5(30) and so on.

Answer:

of poor quality

Step-by-step explanation:

it broke after a few days

The given observations suggest that the increase in population is directly proportional to the number of children born and the number of surviving children.

According to the question,

We have the following information:

An article in the New York times noted that the human population has shown a significant increase in height. when the relationship of height to reproductive success in humans was examined across three decades (1935-1967), height had a positive correlation to the number of children born and the number of surviving children.

It means if the number of children born and the number of surviving children is more then the population will also increase.

In other words, it can be said population is directly proportional.

Hence, the given observations suggest that the increase in the population is directly proportional to the number of children born and the number of surviving children.

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A summary measure that is computed to describe a characteristic of an entire population is called a parameter.

Descriptive statistics are those approaches that collect, present, and characterize a set of data in order to accurately describe the different properties of that set of data. A population characteristic can be estimated or a population decision can be made based solely on sample results, according to the definition of inferential statistics.

The totality of the items or things being considered constitutes a population.

The portion of the population that has been chosen for analysis is known as a sample.

A parameter is a summary measure that is computed to describe a characteristic of an entire population.

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Answer:

25.4 L

Step-by-step explanation:

Charles's Law

[tex]\sf \dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}\quad \textsf{(when pressure is constant and temperature is in kelvin)}[/tex]

where:

Given:

Convert Celsius to kelvin.

Kelvin = Celsius + 273.15

[tex]\implies \sf T_1= 25 + 273.15 = 298.15 \;K[/tex]

[tex]\implies \sf T_2 = 30 + 273.15 = 303.15\; K[/tex]

Substitute the given values into the formula:

[tex]\implies \sf \dfrac{25}{298.15}=\dfrac{V_2}{303.15}[/tex]

[tex]\implies \sf V_2 =303.15 \cdot \dfrac{25}{298.15}[/tex]

[tex]\implies \sf V_2 =\dfrac{7478.75}{298.15}[/tex]

[tex]\implies \sf V_2 =25.41925205...L[/tex]

Therefore, the volume of air in the tire if the temperature increases to 30.0 °C is 25.4 L (nearest tenth).

The rational roots of the given polynomial f(x)= 20x4 + x3 + 8x2 + x - 12 are x = -4/5 and x = 3/4.

All possible rational roots of f(x) are in the form p/q where p is a factor of constant term and q is the coefficient of leading term. Here, p= -12 and q= 20

Factors of -12= -/+(1,2,3,4,6,12)

Factors of 20= -/+(1,2,4,5,10,20)

So the rational roots = -/+ (1, 2, 3, 4, 6, 12)/ (1, 2, 4, 5, 10, 20)

Solving for x when f(x) = 0,

20x4 + x3 + 8x2 + x - 12 = 0

(4x - 3)(5x + 4)(x2 + 1) = 0

Equating all factors to zero, we get

4x - 3 = 0 or 5x + 4 = 0 or x2 + 1 = 0

x = 3/4, x = -4/5, x = i, x = -i

Hence, the rational roots are x = 3/4, x = -4/5.

The given question is incomplete, the complete question is

What are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12?

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Answer:

E

Step-by-step explanation:

they are equal to each other

Answer:

{-4, -3, 2, 4}

Step-by-step explanation:

range are he y values so, find the y values of the points on the graph

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https://brainly.com/question/4316749The symbol used to represent the square root of a non-negative number is √ and is called the radical symbol or sign or root symbol and the non-negative square root is called the principal square root.

Every positive real number has two square roots, positive and negative.

For this reason, we use the square root symbol √ to represent the dominant (non-negative) square root. Negative sign before radical −√ for negative square root.

Every nonnegative real number a has a unique nonnegative square root called the principal square root, denoted by √ in which √ is called the root symbol.

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Answer: Simplification of Fractions.

Step-by-step explanation:

The result of the given expression is 2.5.

We are given a mathematical expression. Let the expression be denoted by the variable "E". The expression is given below.

E = (45 / 6) % 5

We need to simplify the expression and find its value. First of all, we will solve the brackets.

E = (7.5) % 5

Now we will solve the modulus operator. The modulus operator "%" gives us the remainder after the division of the two numbers. After dividing one number by another, the modulo operation yields the remainder, or signed remainder, of the division.

E = 2.5

Hence, the value of the expression is 2.5.

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Answer:

Step-by-step explanation:

Let the number of refills be x.

Then the Silver Cup will cost:

The cost of the Gold Cup is $25.

If we need the Gold Cup a better value, then required inequality is:

Solve it for x:

Answer:

Inequality = 10 + 0.25x < 25

The value of x = x < 60

Step-by-step explanation:

Now we have to,

→ find inequality used to solve for x.

Then the inequality will be,

→ $10 + 0.25x < $25

→ 10 + 0.25x < 25

Required value of x will be,

→ 10 + 0.25x < 25

→ 0.25x < 25 - 10

→ x < 15/0.25

→ [ x < 60 ]

Hence, the value of x < 60.

Answer:

x=-21

Step-by-step explanation:

x+5x-7(2+x)=7 so 6x-14-7x=7

-x=21 so x=-21

Points C and D are 13.82 meters apart.

What is the point in math?

Given : Flag AB, with point B , C ,D lying on ground.

BD = 24 m . AB = 42 m

To find; CD

In triangle ABD, with angle of elevation from D to top of flag pole is 48 degrees.

   Tanθ = perpendicular/base

     tan 48° = AB/BD

     1.1106 = 42/BD

      BD= 42/1.1106  = 37.82 m

From the figure:

BD = BC + CD

37.82 m = 24 m + CD

CD = 37.82 m - 24 m = 13.82 m

Points C and D are 13.82 meters apart.

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The graphed function's rate of change is the same, however

a lesser base line.

A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.

Mathematical operations like addition, subtraction, multiplication, and division can be used to mix integers and numbers to create a numerical expression.

In the mathematics curriculum and in mathematics in general, algebraic expressions are crucial. Students must be proficient in computations and the manipulation of algebraic expressions in order to advance and do well in mathematics. They must also be able to understand and write expressions.

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