Solve each problem below. Show your steps. The Yellow Cab Company charges just $0.25 a mile, but it costs $5 to get in the cab. Express Cab charges no fee to get in the cab, but $1.50 a mile for the ride. Write the equations for both companies. Let y = total cost of ride and x = miles. (14) Yellow Cab Company: (15)Express Cab: (16) If you are going 7 miles, which cab company should you call? (17) If you are going 3 miles, which company should you call?(18)for what length of drive is the cost equal ?​

In three-dimensional graphing, we use three axes (x, y, and z) to divide the space into eight sections or intervals.(option d)

In three-dimensional graphing, we use three axes to represent the three dimensions: x, y, and z. These axes are typically labeled as x-axis, y-axis, and z-axis, respectively. The x-axis represents the horizontal direction, the y-axis represents the vertical direction, and the z-axis represents the depth or distance from the viewer's perspective.

When we combine these three axes, they create a three-dimensional space or a graph. Each axis is perpendicular to the other two axes, forming a right-handed coordinate system. The x, y, and z axes intersect at a point called the origin, usually denoted as (0, 0, 0). The origin serves as the reference point from which we measure distances and positions in three-dimensional space.

Each axis is divided into smaller sections or intervals, just like the number line on a two-dimensional graph. These divisions, also known as units or ticks, help us locate and label specific points or positions in the three-dimensional space accurately. The number of sections or intervals on each axis depends on the scale or range of values being represented.

The correct answer to the question is D) 3,8, as there are three axes (x, y, and z) and each axis is divided into eight sections or intervals, depending on the scale or range being represented.

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The given statements are (a) True

(b) False

(c) False

(d) Not a statement

(e) False

(f) Not a statement

(g) False

(h) Not a statement

Let's go through each part and categorize them accordingly:

(a) 40 is a multiple of 10 that is also a multiple of 5.

- (i) True mathematical statement

(b) Every multiple of 10 is also a multiple of 5.

- (ii) False mathematical statement

(c) There exists a multiple of 10 that is odd.

- (ii) False mathematical statement

(d) 5² - 7³.

- (iii) Not a statement (It is an expression)

(e) 6 + 2 = 6 × 2.

- (ii) False mathematical statement

(f) a + b = ab.

- (iii) Not a statement (It is an equation with variables)

(g) There exist integers a and b such that a + b = ab.

- (ii) False mathematical statement

(h) Is there an odd integer whose square is even?

- (iii) Not a statement (It is a question)

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In Analysis of variance,  X (bar) is not affected by whether or not the population means are equal.

Analysis of variance  is a statistical method for examining differences in means. It consists of a number of statistical models and the accompanying estimating techniques (such as the "variation" within and between groups). Ronald Fisher, a statistician, created Analysis of variance. The rule of total variance, on which the Analysis of variance is based, divides the observed variance in a given variable into components owing to various causes of variation.

ANOVA generalizes the t-test beyond two means by offering a statistical test to determine if two or more population means are equal. In other words, the Analysis of variance is employed to determine whether two or more means differ from one another.

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Answer:

The top table shows the sample space for two spins of this spinner.

The true statements about the synthetic division are

The synthetic division is given as:

3)2 -2 -12

       6 12

    2 4 0

In the above representation of the synthetic division, we have:

Because the remainder is 0, then

(2x^2 - 2x - 12) ÷ (x - 3) = (2x + 4) --- option C

Set the divisor to 0

x - 3 = 0

Solve for x

x = 3

This means that 3 is a root of 2x^2 - 2x - 12 --- option (D) and x - 3 is a factor of 2x^2 - 2x - 12 --- option (E)

Hence, the true statements are (C), (D) and (E)

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The 30th partial sum of the sequence 5x-12 = 1965

To derive the 30th partial sum of the sequence 5x -12, we need to add up to the first 30 terms of the sequence.

Th e nth term of the sequence will be:

5 -12

the first 30th terms are:

5(1) -12 = -7

5(2) -12 = -2

5(3) -12 = -3

5(4)  -12 = -8

and so on

So to get the 30th partial sum, we write:
-7 + (-2) = 3+ 8 ...... + (5(30)-12

If simplified, this expression will given us:

S = (n/2) (a+l)

In this case,

s is the sum of the n terms
A is the first term and
L is the last term.

In this ase, a = -7 (the first term) and L= 5(30) -12 = 138 (the 30th term) So  for the partial sum we say:

S30 = (30/2) (-7 + 138) = 30(131)/2
S30 = 1965

Thus, the partial sum of the sequence 5x-12) is 1965

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The bottom of the ladder from the wall is 11.66 ft from the wall. The correct option is D) 11.7ft.

The bottom of the ladder from the wall is 8.66 ft from the wall.

The height of the ladder = 19 ft

The top of the ladder is 15 ft above the ground.

By using Pythagoras Theorem,

hypotenuse² = base² + height²

Let "d" be the distance from the wall to the bottom of the ladder.

hypotenuse = length of the ladder

= 19 ft

base = distance from the wall to the bottom of the ladder that is d

height = 15 ft  

19² = d² + 15²3

61 = d² + 225

d² = 361 - 225

d² = 136

d = √136

d = 11.66 ft ≈ 11.7 ft

So, the bottom of the ladder from the wall is 11.66 ft from the wall. Therefore, the correct option is D) 11.7ft

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Answer:

10 miles

Step-by-step explanation:

5 1/4+ 4 3/4 = 10

Answer:

10 miles

Step-by-step explanation:

Answer:

\(c = 3.6\)

\(A = 56.4^\circ\)

\(B = 33.6^\circ\)

Step-by-step explanation:

Given

See attachment

Solving (a): Segment C

To do this, we make use of Pythagoras theorem

\(c^2 =a^2 + b^2\)

\(c^2 =2^2 + 3^2\)

\(c^2 = 4 + 9\)

\(c^2 = 13\)

Take the square root of both sides

\(c = \sqrt{13\)

\(c = 3.6055\)

\(c = 3.6\) --- Approximate

Solving (b): Measure of A

To do this, we make use of:

\(sin\ A = \frac{Opposite}{Hypotenuse}\)

This gives:

\(sin\ A = \frac{3}{3.6}\)

\(sin\ A = 0.8333\)

Take arcsin of both sides

\(A = sin^{-1}(0.8333)\)

\(A = 56.4^\circ\)

Solving (c): The measure of C

This is calculated as:

\(A + B + 90^\circ = 180^\circ\)

So, we have:

\(B = 180^\circ - 90^\circ - 56.4^\circ\)

\(B = 33.6^\circ\)

Answer:

The answer for w is 115°

Step-by-step explanation:

b+c=90

25+c=90

c=90-25

c=65°

e=c

e=65°

e+w=180

65+w=180

w=180-65

w=115°

Answer:

-6x² + 35x - 36.

Step-by-step explanation:

(-2x + 9) (3x - 4)

=-2x ( 3x - 4) + 9 (3x - 4)

=-6ײ + 8x + 27x - 36.

=-6x² + 35x - 36.

The greatest number of police officers needed is 28.

In a scenario where there are n straight lines in a city, and none of the lines are parallel to each other, the maximum number of police officers needed at the intersections can be determined by using the summation formula. The summation formula for the series of numbers from 1 to n-1 is (n-1) * n / 2.

Thus, if there are 8 straight lines in a city, the maximum number of police officers needed at the intersections is (8-1) * 8 / 2 = 28. This is because there will be 8-1 = 7 intersection points in total, and at each intersection point, one police officer is needed.

It's important to note that this is the maximum number of officers needed and it assumes that all lines are intersecting at different points. In case of any parallel lines this number would be less.

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Answer:

$1,426.7

Step-by-step explanation:

Let's say the unit currency is dollars

$400,000

7% of $400,000

= $28,000

400,000 + 28,000

= $428,000

For 25 years,

= 25 × 12

= 300

$428,000/300

= $1,426.7

~ $1,427

Answer:

363.741 feet

Step-by-step explanation:

Let the height of the cliff be represented by x. Applying the appropriate trigonometric function, we have;

Tan θ = \(\frac{opposite side}{adjacent side}\)

Tan \(60^{0}\) = \(\frac{x}{210}\)

cross multiply to have;

   x = 210 × Tan \(60^{0}\)

      = 210 × 1.7321

      = 363.741

The cliff is 363.741 feet high.

The lines "My name is Ozymandias, King of Kings" and the subsequent description of the fallen statue and the despairing message provide the strongest textual evidence supporting the theme of the eventual downfall of power in the poem "Ozymandias." Option D.

The textual evidence that best supports the theme of "the eventual downfall of power is inevitable" is found in the poem "Ozymandias" by Percy Bysshe Shelley. The lines that provide the strongest support for this theme are:

D>My name is Ozymandias, King of Kings,

Look on my Works, ye Mighty, and despair!

Nothing besides remains.

These lines depict the ruins of a once mighty and powerful ruler, Ozymandias, whose visage and works have crumbled and faded over time. Despite his claims of greatness and invincibility, all that remains of his power is a shattered statue and a vast desert.

The contrast between the proud declaration of power and the eventual insignificance of Ozymandias' works emphasizes the theme of the inevitable downfall of power.

The lines evoke a sense of irony and the transitory nature of power and human achievements. They suggest that no matter how powerful or grandiose a ruler may be, their power will eventually fade, leaving behind nothing but remnants and a reminder of their fall from grace.

The theme of the inevitable downfall of power is reinforced by the image of the shattered visage and the message of despair. Option D is correct.

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Answer:

&T *OA*&  

Step-by-step explanation:

Answer:

Step-by-step explanation:

im so sorry i dont no this answer

the term that matches the description of having a beginning point but no end points, and is represented by a line with an arrow on one end and not the other, is "rays."

Rays have a beginning point but no end point. They are represented by a line segment with an arrow on one end and not the other, indicating the direction in which the ray extends infinitely. The arrow signifies that the ray continues indefinitely in one direction.

On the other hand, points represent specific locations in space and do not have any length or direction associated with them. Lines, on the other hand, extend infinitely in both directions and have no specific beginning or end points.

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The expression a + b is equal to b + a by the commutative property of addition

From the question, we have the following parameters that can be used in our computation:

a + b

Also, we have

b + a

The commutative property of addition states that

a + b = b + a

This means that the expression a + b is equal to b + a by the commutative property of addition

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Due to the commutative principle, a+b will always equal b+a. Anything will not be true if it violates the commutative property.

If a+b = b+a then it follows commutative property.

The commutative property holds true in math

if a and b are integers the

a+b=b+a

example a = 3 and b = 4

a+b = 3+4 = 7

and b+a = 4+3 = 7

a+b =b+a

When two integers are added, regardless of the order in which they are added, the sum is the same because integers are commutative. Two integer integers can never be added together differently.

if a and b are variable then

a+b = b+a

let a = x and b = y

then a+b = x+y and b+a = y+x

x+y = y+x

the commutative property also applies to variables.

if a and b are vectors then also

a+b= b+a

a = 2i

b = 3i

a+b = 5i

b+a = 5i

5i=5i

The Commutative law asserts that in vectors, the order of addition is irrelevant, therefore A+B is identical to B+A.

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By algebraic handling and factoring, we conclude that the equivalent equation for the expression - 7 · x - 60 = x² + 10 · x is (x + 5) · (x + 12) = 0.

In this question we have a quadratic function which must be factored by algebraic handling:

- 7 · x - 60 = x² + 10 · x

x² + 10 · x + 7 · x + 60 = 0      Compatibility with addition/Modulative property

x² + 17 · x + 60 = 0      Definition of addition

(x + 5) · (x + 12) = 0      x² + (- a - b) · x + a · b = 0/Result

By algebraic handling and factoring, we conclude that the equivalent equation for the expression - 7 · x - 60 = x² + 10 · x is (x + 5) · (x + 12) = 0.

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Answer:

this is easy get a protractor

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

4/5 of the people at the picnic are children. There are 24 children. So 24 is 4/5 of the whole. You ÷4 to find 1/4. This is 6. So you add on the 6 as 1/4 add 4/5 equals the whole number of people there are at the picnic, 5/5. 24 add 6 is 30 so there are 30 le e at the picnic, and 6 adults.

Answer:

This is an equation of a line in standard form. The "C" is the constant of the equation

Step-by-step explanation:

Therefore, the net present value (NPV) for a 10-year project with an initial investment of $40,000 and a cash inflow of $7,000 per year, assuming that the firm has an opportunity cost of 12% is $9,489.26. A positive NPV indicates that the project is profitable, and the firm should invest in it.

Net present value (NPV)Net present value (NPV) is the difference between the current value of money flowing in and the current value of cash flowing out over a period of time. It is used to decide whether or not to invest in a company, project, or investment opportunity.

The formula for NPV is: NPV = - Initial investment + Present value of cash inflows The formula for the present value of cash inflows is: PV = CF / (1+r)t Where: PV = Present value CF = Cash flow r = Discount rate t = Number of time periods

Let's solve for the net present value (NPV) of a 10-year project with an initial investment of $40,000 and a cash inflow of $7,000 per year, assuming that the firm has an opportunity cost of 12% .NPV = - Initial investment + Present value of cash inflows NPV = - $40,000 + Present value of cash inflows

The present value of cash inflows is calculated as follows: PV = CF / (1+r)tP V = $7,000 / (1+0.12)1 + $7,000 / (1+0.12)2 + $7,000 / (1+0.12)3 + ... + $7,000 / (1+0.12)10PV = $7,000 / 1.12 + $7,000 / 1.2544 + $7,000 / 1.4049 + ... + $7,000 / 3.1058PV = $6,250 + $5,578.26 + $4,985.98 + ... + $1,661.53PV = $49,489.26

Substituting the PV value in the NPV formula, we get: NPV = - $40,000 + $49,489.26NPV = $9,489.26

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Answer:

Step-by-step explanation:

12 frdb

Answer:

because SAS , NYC , PAC all are together

Step-by-step explanation:

The given statement in the question is SAS.

We are given that;

Trapezoid NYAP

Now,

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

One possible given statement is that ∠NYC = ∠PAC.

This is because the base angles of an isosceles trapezoid are congruent. Since C is the midpoint of YA,

we know that YC = CA by the definition of midpoint.

Also, NC = CP is given.

by SAS, we can conclude that △NYC ≅ △PAC.

Therefore, by congruent triangles the answer will be SAS.

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To find out how many times greater 8 x 10{-3} is than 4 x 10{-6}, we need to divide the larger number by the smaller one. This will give us the ratio of the two numbers.

So, 8 x 10{-3} divided by 4 x 10{-6} can be written as:

(8 / 4) x (10{-3} / 10{-6})

Simplifying this expression, we get:

2 x 10{3}

This means that 8 x 10{-3} is 2,000 times greater than 4 x 10{-6}.

we can break down the process of dividing the two numbers. When we divide 8 by 4, we get 2. Then, when we divide 10{-3} by 10{-6}, we get 10{3}. Multiplying these two results gives us the ratio of 2 x 10{3}. This means that 8 x 10{-3} is 2,000 times greater than 4 x 10{-6}.

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Hi there!

\(\large\boxed{k = 95}\)

Use PEMDAS:

Evaluate inside of parenthesis:

(264 + 3 × 7)

Multiply:

(264 + 21)

Add:

285

Divide by 3:

285 ÷ 3 = 95

Answer:

Step-by-step explanation:

Inside parenthesis two operations ( + and  *) are there. First multiplication has to done and then add

\(k =\frac{(264+ 3*7)}{3}\\\\=\frac{(264+21)}{3}\\\\=\frac{285}{3}\\\)

Now divide by 3

k = 95