Find the midpoint of the line segment joining points A and B.
A(2, - 5); B(4,1)

Answer:

49.5 miles per hour

Step-by-step explanation:

495÷10=49.5miles per hour

Answer:

B) $85,167

Step-by-step explanation:

u got discount 45% so u just have to pay 55% of it

cost = 55% x $154,85 = $85,1675

As a result, the threads of the 4" pipe should protrude at least 6 inches equation beyond the final wall surface in order to achieve proper thread engagement and a tight attachment to the wall.

In mathematics, an equation is a statement that states the equality of two expressions. An equation consists of two sides separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" states that the sentence "2x Plus 3" equals the value "9". The goal of solving equations is to find the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complex, linear or nonlinear, and contain one or more parts. For example, in the equation "x2 + 2x - 3 = 0," the variable x is raised to the second power. Lines are used in many areas of mathematics, including algebra, calculus, and geometry.

The threads of the 4" pipe should protrude over the finished wall surface by at least the thread engagement distance provided in the appendix to guarantee good thread engagement and a snug, tight attachment to the wall. The thread engagement distance is normally 1.5 times the pipe diameter, thus the thread engagement distance for a 4" pipe would be 6 inches.

As a result, the threads of the 4" pipe should protrude at least 6 inches beyond the final wall surface in order to achieve proper thread engagement and a tight attachment to the wall.

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Based on the word problem, the number is equal to 8.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the unknown number. Therefore, by translating the word problem into an algebraic equation, we have the following;

5 is subtracted from a number; (x - 5).

Additionally, the above difference is tripled and the result is 1 more than the unknown number;

3(x - 5) = x + 1

3x - 15 = x + 1

3x - x = 1 + 15

2x = 16

x = 16/2

x = 8.

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The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.

Option B is the correct answer.

We have,

From the graph plot,

We see that,

The y-intercept is when x = 0.

This means,

At 0 hours, the amount of diet soda is 40.5.

Now,

y = 40.5 means the machine starts with 40.5 ounces of diet soda.

Thus,

The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.

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Answer:

C

Step-by-step explanation:

in the triangle with respect to the 50° angle, the side opposite is c and the adjacent side is 14.

thus using the tangent ratio in the right triangle

tan50° = \(\frac{opposite}{adjacent}\) = \(\frac{c}{14}\) ( multiply both sides by 14 )

14 × tan50° = c , then

c ≈ 16.7  ( to 1 decimal place )

In this problem, the cosine function is used to solve for the length of side C in a right-angled triangle, because the angle and the adjacent side are known. According to trigonometry, the cosine for an angle is the length of the adjacent side divided by the hypotenuse.

In the given right-angled triangle, since the length of side C (hypotenuse) is unknown and one of the acute angles (50 degrees) is known, you should use the cosine function to solve for the length of side C. According to Trigonometry, cosine of an angle (in a right-angled triangle) is equal to the adjacent side divided by the hypotenuse. Hence, cos(50) = 14 / C. You could solve this equation for C.

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9514 1404 393

Answer:

  B

Step-by-step explanation:

To find the graph of the inverse function, swap the labels x and y on the axes of the given graph.

There are no x-values common to all the tables, but you can make a determination of the correct one by looking at x=1 and x=-1.

After you swap the axis labels you see that the points ...

  (x, y) = (1, -2) or (-1, -3)

are on the graph. These points are only found in the table of selection B.

The table contains points from the inverse of the graphed function is B. Table 2.

A graph simply means a diagram that represents the variation of a variable when being compared with other variables.

In this case, the inverse of the graphed function will simply be done by switching all the values of x and y in each point. This is clearly illustrated in the second table.

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Answer:

Volume V ≈ 1481.3269 cubic inches

Step-by-step explanation:

Volume V of a cylinder is given by the formula

V = πr²h  where r = radius of the base of the cylinder and h the height

Here we are given the diameter, d = 5.9375 inches

Radius r = d/2 = 5.9375/2 = 2.96875 in

Height h = 53.5 in

V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches

Answer V ≈ 1481.3269 cubic inches

Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.

To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:

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Answer:

Step-by-step explanation:

\( \frac{5}{ {3b}^{3} - {2b}^{2} - 5 } = \frac{2}{ {b}^{3} - 2 } \\ 5( {b}^{3} - 2) = 2( {3b}^{3} - {2b}^{2} - 5) \\ {5b}^{3} - 10 = {6b}^{3} - {4b}^{2} - 10 \\ 10 - 10 = {6b}^{3} - {5b}^{3} - {4b}^{2} \\ 0 = {b}^{3} - {4b}^{2} \\ 0 = {b}^{2} (b - 4) \\ \)

b = 0 or b - 4 = 0

b = 0

b = 4

Answer:

(22,0)

Step-by-step explanation:

22 0

35 -15

48 -30

61 -45

74 -60

As a result, it is discovered that the answer to the given function problem is slant sample points of y = x -4.

Mathematical studies cover the areas and prospective applications of geometry as well as numbers and their variants, equations, and related structures. A group of inputs that collectively produce a similar result is referred to as a "function." Each input contributes to a single, distinguishable consequence in an output-input connection known as a function. Each activity has a scope, which is also known as a region or city or municipality. Commonly, functions are denoted by the letter f. (x). The origin is X. Across operations, one-to-one action, many-to-one activity, on activity, and on

Here,

Every one of the three asymptotes can be used to construct a rational function because rational functions can take any form.

This is depicted in both the linked graph and the graph of the function f(x that serves as a representation. The function's asymptotes are as follows.

The asymptotes for the vertical slope are x = -4,

The horizontal asymptotes are Y = 0 and.

Slant has an asymptote of Y = x -4.

An exponential function is used in our example function. That isn't generally perceived of as a polynomial, but it may be expressed as an endless degree polynomial. A rational function is typically described in publications as the percentage of polynomials.

As a consequence, the solution to the given function problem is slant sampling points, which are y.

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Answer:

5. is III. Since there is a vertical asymptote at x= -3 and hole at x=0

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.

Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.

The period of compounding in a year determines the worth of the future value.

The future value can be ascertained using an online finance calculator as follows:

Interest periods: = 4 times yearly (Quarterly)

Principal = $5,000

Annual interest rate = 9%

Number of years: 18

N (# of periods) = 72 quarters (18 years x 4)

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $24,815.83

Total Interest = $19,815.83

Interest periods: = Annually

N (# of periods) = 18 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $23,585.60

Total Interest = $18,585.60

Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)

Thus, an investment compounded periodically earns more than an investment compounded annually.

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Answer:

false

Step-by-step explanation:

53 doesn't have the same value as 15. sorry if this is wrong or not helpful.

Answer:yo no se como ablar ingles

Step-by-step explanation: perdoname

Answer:

6t + 10t - 9t

(6 + 10 - 9 ) t

7t

Step-by-step explanation:

Answer:

7t

Step-by-step explanation:

Answer:

Use a calculator lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

s= 2, 2 and 11

I= 2, 5 and 3

u=2, 7 and 5

t= 2, 2, 3 and 3

b= 2, 2, 5 and 5

n= 2, 2, 19

p= 2, 3, 3 and 5

o= 2, 2 and 17

r= 3, 3 and 11

m= 2, 3, 3 and 7

d= 2, 3 and 7

e= 2, 2, 3 and 11

The value of   \(\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)\)  in terms of s will be

\(\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)\)

A quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Here we have the expression:-

\(\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)\)

So in terms of s the expression will become:-

\(\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)\)

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The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

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The value of x for the given trigonometric function is (15/18)π.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right angle.

As per the given,

secx = (-2√3)/3

1/cosx = -2/√3

cosx = -√3/2

x  = 150° = (15/18)π

Thus, x goes into the second quadrant as shown below.

Hence"The value of x for the given trigonometric function is (15/18)π".

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Answer:D

Step-by-step explanation:

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

These are two "special triangles." The ratios of side lengths are numbers not difficult to remember. They can save a lot of work in problems like this.

Ratio of side lengths in 45°-45°-90° isosceles right triangle: 1 : 1 : √2.

Ratio of side lengths in 30°-60°-90° right triangle: 1 : √3 : 2.

__

The side marked x has the same length as the side marked 14√2.

  x = 14√2

The unmarked hypotenuse of both triangles is √2 times the marked side length, so is (14√2)(√2) = 28.

The side marked y is half the length of the hypotenuse of that triangles so is ...

  y = 28/2

  y = 14

And the side marked z is √3 times the short side of the 30°-60°-90° triangle, so is ...

  z = 14√3

_____

Alternate solution

The mnemonic SOH CAH TOA can help you remember trig relationships. Here, 14√2 is opposite the given 45° angle, and x is adjacent. The trig relation is ...

  Tan = Opposite/Adjacent

  tan(45°) = 14√2/x

  x = 14√2/tan(45°) = 14√2

__

To find y or z, we need to know the length of the hypotenuse in the 45° triangle. The given side is opposite the angle, so we can use the sine relation:

  Sin = Opposite/Hypotenuse

  hypotenuse = 14√2/sin(45°) = 28

Now, we can find y and z:

  sin(30°) = y/hypotenuse

  y = (28)sin(30°) = 14

  cos(30°) = z/hypotenuse

  z = (28)cos(30°) = 14√3

Answer:

68.75

Step-by-step explanation:

75 divided by 12 is 6.25 so you subtract 6.25 from 75 and get your answer.

i hope this helps.

Step-by-step explanation:

Marie had 160

Josh has 150

Trey has 600

The quadrilateral is a rectangle because

1) GH is parallel and equal to JI

2) GJ is parallel and equal to HI

3) Angles at the vertices are perpendicular

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12