Given f(x) = 4x – 1, find ƒ(4).

The incenter is the center of a circumference that can be circumscribed inside the triangle. That means that the distance from the circumcenter to the sides of the triangle is the same. In this case, it means that:

On the other hand, the segments from the circumcenter N to the vertices of the triangle are angle bisectors, and using that fact, it can be proven that the two triangles that form at each vertex from the angle bisectors are congruent. Then, we can also know that:

The congruence that cannot be deduced from the given information is:

Answer:

t = 8

Step-by-step explanation:

1. 2.5(t-2)-6 = 9      =       2.5t-5-6=9

2. add common terms = 2.5t - 11 = 9

3. add 11 on both sides to eliminate the 11

4. 2.5t= 20

5. 20/2.5 = 8

6. t = 8

No, they will not have the same amount in their account at any point of time.

Given that:-

Money deposited by Rodney at the opening of savings account = $ 75

Money deposited by Rodney each month in the account = $ 40

Money deposited by Morgan at the opening of savings account = $ 50

Money deposited by Morgan each month in the account = $ 40

Let us imagine that they will have equal amount of money in their accounts at a particular point of time.

Let us consider x to be the number of months when they will have same amount of money in their account.

Hence, we can write,

75 + 40x = 50 + 40x

We can see that,

75 - 50 = 40x - 40x

25 = 0

But this is not possible.

Hence, they will never have the same amount of money in their accounts at a particular point of time.

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Set x and y to be the two numbers we need to find; then, according to the question,

Solve the system of equations as shown below

Finding y,

Answer:

supplementary, not congruent.

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +7}{2}~~~ ,~~~ \cfrac{ y +4}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(6~~,~~3)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +7}{2}=6\implies x+7=12\implies \boxed{x=5} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +4}{2}=3\implies y+4=6\implies \boxed{y=2}[/tex]

Given: The center and radius of a circle

To Determine: The equation of the circle

1) Circle A centered at the origin with radius 6

The equation of a circle is given by the formula

ence, the equation of circle A centered at the origin with radius 6 is

x²+y²=36

2)Circle D with center (3, 3) and radius 2

The equation would be

ence, the equation of a circle D with center (,3, 3) and radius 2 is

(x-3)² + (y-3)² = 4

y = 2x  is the equation that is parallel to the given line in the question .

If two non-vertical lines in the same plane have the same slope, they are said to be parallel. Never will two parallel lines cross. If two non-vertical lines in the same plane cross at a right angle, they are said to be perpendicular.

y = 2x + 11

choose a point which the line will pass through

(0,0)

using y  = mx + b

m = 2

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

[tex]y_{2} - y_{1} = m(x_{2} - x_{1} )[/tex]

y - 0 = 2x -0

y = 2x

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The equation of the time she can afford to park her car is 2 + 3t = N

The given parameters are

Assume she stays for t number of hours, the total charges would be

Total = Entrance charge + Rate per hour * Number of hours

This gives

Total = Entrance charge + Rate per hour * t

Substitute the known values in the above equation

So, we have

Total = 2 + 3t

From the question, she has N dollars

So, we have

2 + 3t = N

Hence, the expression of the description is 2 + 3t = N

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Answer:

the real estate 5726per thousand dollars

Step-by-step explanation:

Answer:

Mark up $11.25

Selling price $36.25

Step-by-step explanation:

25(.45) = 11.25   This is the mark up,  The selling price is then 25 + 11.25, which is $36.25

Answer:

Not a solution.

Step-by-step explanation:

[tex]y < 7x+8\\-6 < 7(-2)+8\\-6 < -14 + 8\\-6 < -6; False[/tex]

This is not true because -6 is not less than -6.

Answer: No.

Step-by-step explanation: First of all you need to know that (x,y) x goes in front of y because of alphabetical order. Second, plug in your points (-2,-6) into your equation y < 7(-2) + 8. After you solve, you will get y < -14+8. Then, you get y < -6. On your point it said that -6 is your y point. Plug in -6 into y and you get -6 < -6. So no, y is not less than 7x +8. Hope this helps!

Answer:

8 + √3 is greater.

Step-by-step explanation:

8 + √3 equals 9.73

whereas

√8 + 3 equals 5.83

The function value if possible of (mxn)(7) is mathematically given as

(m.n)(7) =0

This is further explained below.

Generally,  the equation for the is mathematically given as

m(x) &=x-7

Therefore

[tex]n(x) = \frac{1}{x}+7[/tex]

(m * n)(x) = m(x) * n(x)

[tex]=(x-7) \cdot\left(\frac{1}{x}+7\right)[/tex]

(m * n)(7) = (7-7) * n(1/7 + 1)

(m.n)(7) =0

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There is a 0.5 percent probability that a randomly chosen male will be taller than 70 inches.

So,

Then, the formula will be:

Insert the values in the formula as follows:

Then,

Therefore, there is a 0.5 percent probability that a randomly chosen male will be taller than 70 inches.

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Answer:   2.40 * 10^(-4)

This value is approximate.

=====================================================

Explanation:

A four of a kind is where we have 4 cards of the same value, as mentioned in the instructions. For example, we could have 4 queens and some other card, such as a 10 of clubs.

There are 13 cards to pick from for any given suit. Once that card is chosen, the other 3 slots are fixed to whatever that first card is. The fifth slot will have 52-4 = 48 choices.

In short we have 13 choices for the first four cards and 48 choices for the fifth card.

Overall we have 13*48 = 624 different four of kind poker hands.

Let's now calculate how many possible poker hands there can be.

A poker hand consists of 5 cards. I don't know why your teacher mentioned a bridge hand of 13 cards since that's for a different game.

We'll use n = 52 and r = 5 in the nCr combination formula below.

[tex]n C r = \frac{n!}{r!(n-r)!}\\\\52 C 5 = \frac{52!}{5!*(52-5)!}\\\\52 C 5 = \frac{52!}{5!*47!}\\\\52 C 5 = \frac{52*51*50*49*48*47!}{5!*47!}\\\\ 52 C 5 = \frac{52*51*50*49*48}{5!}\\\\ 52 C 5 = \frac{52*51*50*49*48}{5*4*3*2*1}\\\\ 52 C 5 = \frac{311875200}{120}\\\\ 52 C 5 = 2598960\\\\[/tex]

There are 2,598,960 possible five-card poker hands.

624 of those hands are four of a kind, so the probability we want is

624/(2,598,960) = 0.000240 = 2.40 * 10^(-4)

The approximate decimal value 0.000240 converts to 0.0240%

Answer:

The value of x is equal to 4.4.

Explanation:

Given;

The length AC is the sum of length AB and BC;

substiuting the given values;

let's add 19 to both sides, and then subtract 4x from both sides;

divide both sides by 18;

The value of x is equal to 4.4.

The area that is swept clean by the wiper is 329.13 inches².

Given:

Radius of arm(r₁) = 18 inch

Length of wiper blade = 10 inches

Radius of the point at which the blade is mounted(r₂) = 8 inches

Angle of the sector,θ = 145°

Required Area is calculated as,

Area = (θ/360°)πr₁² -  (θ/360°)πr₂²

        = (θ/360°) (πr₁² - πr₂²)

        =  (145°/ 360°) π(18² - 8²)

        =  (145°/ 360°) π(324 - 64)

        =  329.13 inches²

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Park a cover 4,926 square kilometers, It is 1,845 square kilometers larger than than park b. Park c is 4,006 square kilometers larger than park a, the area of all three parks is 16939 [tex]km^{2}[/tex]

Area is amount of space occupied by a two-dimensional figure. In other words, it is quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of the area is square units which is generally represented as square inches, square feet, etc.

Word 'area' means a vacant surface. The area of shape is calculated with the help of its length and width. Length is the unidimensional and measured in units such as feet (ft), yards (yd), inches (in), etc. However, area of a shape is a two-dimensional quantity. Hence, it is measured in the square units like square inches or ([tex]in^{2}[/tex]), square feet or ([tex]ft^{2}[/tex]), square yard or ([tex]yd^{2}[/tex]), etc. Most of the objects or the shapes have edges and corners. The length and width of these edges are considered while calculating area of a specific shape.

Since,

Park a= 4926 [tex]km^{2}[/tex]

Park b= (4926-1845)  = 3081 [tex]km^{2}[/tex]

Park c= (4006+4926)  = 8932 [tex]km^{2}[/tex]

The area of all the three parks = (4926+3081+ 8932) [tex]km^{2}[/tex] = 16939 [tex]km^{2}[/tex]

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We want to draw chord LM such that it is a perpendicular bisector of line JK. The square would be drawn by joining lines JL, KL, KM and MJ

To achieve this, the daigram should look like the one shown below

This diagram is only possible if JK passes through the center of the circle. This means that JK is the diameter of the circle. Thus, the correct option is

B

Answer:

B

Step-by-step explanation:

If the car uses 3 1/8 gallons per hour and the number of hours is 4 2/3, we can multiply both values to find the total amount of gallons used in this time.

First, we need to convert 3 1/8 and 4 2/3 into improper fractions:

Now, multiplying the values, we have:

So the car will use 14.58 gallons.

The linear equation that models the school’s graduating class size (y) in terms of the year (x) after 2015 is given as y = 24x + 257

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard form of a linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

Let y represent the graduating class size in terms of the year (x) after 2015.

Kyle’s older brother’s class had 257 students when he graduated in 2015. That is (0, 257)

In 2018, and his class has 329 students, That is (3, 329)

The linear equation is calculated using (0, 257) and (3, 329):

y - 257 = [(329 - 257)/(3 - 0)](x - 0)

y - 257 = 24x

y = 24x + 257

The linear equation is given as y = 24x + 257

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Answer:[tex]x\geq 3.2[/tex] and [tex]x < -0.75[/tex]

Step-by-step explanation

[tex]5x-4\geq 12[/tex]

First you would add 4 to each side.

[tex]5x\geq 16[/tex]

Then divide each side by 5.

[tex]x\geq 3.2[/tex]

Next one,

[tex]12x+5 < -4[/tex]

First you would subtract 5 from both sides.

[tex]12x < -9[/tex]

Then divide both sides by 12.

[tex]x < -0.75[/tex]

The mode and range of the given data is 98 and 42 respectively.

What is data?

Data, which can describe quantity, quality, fact, statistics, other fundamental units of meaning, or simply sequences of symbols that can be further interpreted, is a collection of discrete values that convey information in the pursuit of knowledge. A datum is a distinct state within a collection of data. Typically, data is arranged into structures like tables that give it additional context and meaning and can also be used as their own form of data in larger structures. It's possible to use data as variables in a computation. Data can represent both concrete measurements and abstract concepts. Data is used frequently in virtually every aspect of human organisational activity, including finance and science. Stock prices, crime rates, unemployment rates, literacy rates, and census data are a few examples of data sets.

Mode = 98 ( 98 occurs two times)

Range = 128-86=42

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Since 1 yard = 0.914 meters

Since 1 m = 100 cm

Then 1 yard = 91.4 cm

Square them to find the square yard

1 square yard = 8353.96 square cm

Then to find 5 square yards in square cm, multiply 5 by 8353.96

5 square yards = 41769.8 square cm

Answer:

156 and 157

Step-by-step explanation:

Solution:

Given the circle;

Thus;

Then;

CORRECT OPTION: B