A town government is designing a new bus system. The planners are deciding where to put the different bus stops. They want to pick a set of bus stop locations that will minimize the distance anyone needs to walk in order to get to any bus stop in town. What term best defines this kind of problem

Answer:

|x + 7| ≥ 2 is the inequality

Step-by-step explanation:

x - b ≥ c    or    x - b ≤ -c

x ≥ b + c = -5     or x ≤ b - c = -9

b + c = -5

b - c = -9

2b = -14

b = -7                             -7 + c = -5

                                             c = 2

x - (-7) = x + 7

So, |x + 7| ≥ 2 is the inequality

Answer

V = 16.8

Step-by-step explanation:

Answer: V- 16.8  

Explanation: From K12

I HATE IT

Answer:

B is the best choice

Step-by-step explanation:

A and C have nothing to do with numbers, so you can rule them out. D would only give you one piece of data.

With B, you'd get a number that had to be calculated. Probably a mean/average weight of a chipmunk.

Answer:

B 100% I just took the test

Answer:

3/2

Step-by-step explanation:

y2 - y1/ x2 - x1

7 -(-5) / 6 - (-2)

12/ 8

3/2

Answer:

Step-by-step explanation:

[tex]a_{n+1}=a_n\cdot r[/tex]

So, if the common ratio is -5 the next term is always (-5) times the previous term.

Answer:

The answer is on the attached file, i did it on another uncopy pastable document

Step-by-step explanation:

Answer:

Por ejemplo, podrías utilizar la división para determinar cómo repartir 40 ... 15 ÷ 5 = 3. Podrías también usar la recta numérica para modelar ésta división. ... ¿Cuáles de las siguientes expresiones representan dividir $56 en partes iguales entre 7 ... “5, 10, 15, 20, 25, 30. Debo saltar 6 veces para llegar a 30.” 30 ÷ 5 = 6.

Step-by-step explanation:

Answer:

99.85%

Step-by-step explanation:

The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years.

Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living less than 16.1 years.

Solution:

The empirical rule states that for a normal distribution most of the data fall within three standard deviations (σ) of the mean (µ). That is  68% of the data falls within the first standard deviation (µ ± σ), 95% falls within the first two standard deviations (µ ± 2σ), and 99.7%  falls within the first three standard deviations (µ ± 3σ).

Therefore:

68% falls within (10.4 ± 1.9). 68% falls within 8.5 years to 12.3 years

95% falls within (10.4 ± 2*1.9). 95% falls within 6.6 years to 14.2 years

99.7% falls within (10.4 ± 3*1.9). 68% falls within 4.7 years to 16.1 years

Probability of a meerkat living less than 16.1 years = 100% - (100% - 99.7%)/2 = 100% - 0.15% = 99.85%

Answer:

13.5%

Step-by-step explanation:

Answer:

x =82

because 180 - (24 + 74)= 82

Answer:

Step-by-step explanation:

[tex] \csc(a) = \frac{1}{ \sin(a) } \\ \sin(a) = \frac{15}{25} \\ \\ \csc(a) = \frac{1}{ \frac{15}{25} } \\ \\ \csc(a) = \frac{25}{15} [/tex]

So no one of the above

Answer:

[tex]\frac{45}{c}[/tex]

Step-by-step explanation:

Playoff games played = 45

Number of days taken for the playoff games = c days

Number of playoff games played in one day = [tex]\frac{\text{Number of games played}}{\text{Total number of days}}[/tex]

= [tex]\frac{45}{c}[/tex]

Therefore, expression for the number of playoff games played in a day = [tex]\frac{45}{c}[/tex]

she needs 10 feet because 6 2/3 yard converted into feet is 20 and 30-20=10

Answer:

50+20x=290 or 50+(20x12)=290

Step-by-step explanation:

Answer:

50 + 20m = 290

Step-by-step explanation:

The answer is 50 + 20m = 290, because Jim paid a membership fee that was $50. Then each month he paid $20 because of his new membership. Jim never paid $50 a month, that was only his starter fee, but then gradually paid $20 every month so it would be 20m. Hope this helped.

SA for a cylinder = 2 pie r squared + 2 pie r h

= 2 x pie x 25 + 2 x pie x 5 x 17

= 220 pie or 690.8 if you use 3.14 instead of the full value

Answer:

D) 16π/3 ft

Step-by-step explanation:

We solve the above question using the Arc length formula when our central angle is in degrees

The formula is given as:

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

Hence,

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

Arc length = 16π/3 ft

Option D is the correct option

Answer:

144

Step-by-step explanation:

4*3=12

12*12=144

Answer:

Tenemos la siguiente expresión algebraica:

[tex]c^{2} = a^{2}+b^{2}[/tex] (1)

Donde:

[tex]c[/tex] - Hipotenusa, en centímetros.

[tex]a, b[/tex] - Catetos, en centímetros.

Step-by-step explanation:

Este ejercicio ofrece un recurso mnemotécnico para la comprensión y aplicación del Teorema de Pitágoras, el cual establece que el cuadrado de la hipotenusa es igual a la suma de los catetos elevados al cuadrado, siendo cada componente equivalente al área de un cuadrado hipotético, entonces, la expresión algebraica que representa esa relación entre las áreas es:

[tex]25\,cm^{2} = 16\,cm^{2} + 9\,cm^{2}[/tex]

[tex](5\,cm)^{2} = (4\,cm)^{2}+(3\,cm)^{2}[/tex]

Por analogía, tenemos la siguiente expresión algebraica:

[tex]c^{2} = a^{2}+b^{2}[/tex] (1)

Donde:

[tex]c[/tex] - Hipotenusa, en centímetros.

[tex]a, b[/tex] - Catetos, en centímetros.

Answer:

140 lb.

Step-by-step explanation:

Answer:

140 pounds

Step-by-step explanation:

75% of 80 is 60

100% of 80 is 80

80+60 = 140

Answer:

3) x=11

4) x=65 degrees

I can explain more if you need but since you need it quick basically theyre just the same as the other side since its a 90 degree angle and the line is going through the center

Answer: x is 11 and 65 like they said

Step-by-step explanation:

Answer:

d= 2√a/π

To calculate the diameter, rewrite the formula to isolate D

Because a negative diameter doesn’t make sense, eliminate the negative answer from the solution

Simplify further to get the solution

The formula to calculate the diameter of the circle is d = 2 √( A/π )

where d = diameter of the circle

A = area of the circle

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the radius of the circle be = r

So , the diameter of the circle = 2r

Now , the area of the circle = πr²

Substituting the value for r , we get

Area of the circle = ( 1/4 ) πd²

So , A = ( 1/4 ) πd²

Now , solving the equation for diameter of circle d , we get

Multiply by 4 on both sides of the equation , we get

πd² = 4A

Divide by π on both sides of the equation , we get

d² = 4A/π

Taking square roots on both sides of the equation , we get

d = 2 √A/π

Therefore , the value of d is 2 √A/π

Hence ,

The formula to calculate the diameter of the circle is d = 2 √( A/π )

where d = diameter of the circle

A = area of the circle

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Step-by-step explanation:

there are three parts first one is hypotenuse, base, height....

hope you understood

Answer:

Water Stats

The average family can waste 180 gallons per week, or 9,400 gallons of water annually, from household leaks. That's equivalent to the amount of water needed to wash more than 300 loads of laundry. Household leaks can waste approximately nearly 900 billion gallons of water annually nationwide.

Step-by-step explanation:

THATS FOR NUMBER 2

Answer:

19.3 Gallons

Step-by-step explanation:

83066/1000 to get back to liters

83.066 Liters/4.54=19.3 Gallons

Answer:

\sqrt[9]{(78)} {}^{4}

9

(78)

4

Answer:

a) 3/13

b) 1/2

Step-by-step explanation:

a) In a deck of 52 cards there are 4 Kings, 4 Queens and 4 jacks. So the probability of drawing those cards is (4+4+4)/52 = 12/52 = 3/13.

b) 1/2 because the numbers greater than 3 on a dice is 4, 5, and 6 which is half of the available options.

Answer:

The second number in an ordered pair is the y-coordinate and corresponds to a number on the y-axis.

Step-by-step explanation:

hope this helps you! :)

The second number in an ordered pair is the y-coordinate and corresponds to a number of the y axis.

a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

An ordered pair contains the coordinates of one point in the coordinate system.

A point is named by its ordered pair of the form of (x, y).

In an order pair the first number represents the x coordinate and the second number represents the y coordinate.

To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.

Hence, the second number in an ordered pair is the y-coordinate and corresponds to a number of the y axis.

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Answer:

y-intercept is (0, 2) and the slope is 1

Answer:

[tex]z^{11}[/tex]

Step-by-step explanation:

add 5 and 6 because they have the same base z

Answer:

42 acres, 14 acres, 28 acres