The Social Justice Club is going to rent a mammoth barbeque to cook the hot dogs for the hot dog sale After contacting three rental companies in town, you have found out that each
one will deliver and pick up their barbeque. The cost of propane is included in the rental. The rental costs are indicated below.
Rental A: $15/h
Rental B. $5/h + 50
Rental C. $9/h + 20
1. Write an equation that models the rental cost, C, for each company
2 Graph all three models onto the same set of coordinate axis.
3. Which rental company should be chosen if you use the barbeque during lunch (11:05 - 12 30) and keep the barbeque to continue sales during the football game that will end about
4 30? Justify your answer
4. Which rental company should be chosen if your school lunch hours run from 11:05 - 12.30? Justify your answer
5 Which rental company should be chosen if your school returned the barbeque the following day? Justify your answer.​

Answer: 315.3 min^-1

Step-by-step explanation:

Given the following :

Speed = 45miles per hour

Diameter of wheels = 48inches

Number of complete revolutions the wheel makes in one minute =?

Since wheel diameter is in inches, we convert speed (miles/hour) to inch per minute

1 mile = 63360 ; 60minutes = 1 hour

45 miles / hour = (45 × 63360) / 60

= 2851200 inch/60 min

= 47520inch/min

Distance covered per revolution:

Circumference of a circle (C) = 2πr

Where r = radius ; r = diameter / 2

r = 48/2 = 24 inches

C = 2 * 3.14 * 24 = 150.72inches

Number of revolutions per minute:

Speed per minute / distance covered per revolution

(47520inch/min)/ (150.72 inch)

= 315.286 min^-1

Step-by-step explanation:

Equation: y= [tex]-x^2+3x+9[/tex]

To create a parabola:

Does your parabola open up or down: If up, a>0 if down, a<0

This one opens down.

Is there a vertical strech or vertical compression:

No

What is the y-intercept: (0,9)

What strategy: Quadratic formula

Why?: You can fully factor the equation. You just get

-([tex](x^2-3x-9)[/tex]  which isn't factorable.

Use the quadratic formula, where a= -1, b= 3, and c=9 to show your work.

Quadratic formula: [tex]\frac{-b+\sqrt{b^2-4ac} }{2a} \frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\frac{-(3)+\sqrt{(3)^2-4(-1)(9)} }{2(-1)}[/tex] and [tex]\frac{-(3)-\sqrt{(3)^2-4(-1)(9)} }{2(-1)}[/tex]

[tex]\frac{-3+\sqrt{9-4(-9)} }{-2}[/tex] and[tex]\frac{-3-\sqrt{9-4(-9)} }{-2}[/tex]

[tex]\frac{-3+\sqrt{9+36} }{-2}[/tex] and [tex]\frac{-3-\sqrt{9+36} }{-2}[/tex]

[tex]\frac{-3+\sqrt{45} }{-2}[/tex] and[tex]\frac{-3-\sqrt{45} }{-2}[/tex]

[tex]\sqrt{45}[/tex] = [tex]\sqrt{9 (5)} = 3\sqrt{5}[/tex]

[tex]\frac{-3+3\sqrt{5} }{-2}[/tex] and [tex]\frac{-3-3\sqrt{5} }{-2}[/tex]

Cancel the negatives (-3) and (-2)

[tex]\frac{3 +3\sqrt{5} }{2} or\frac{3 -3\sqrt{5} }{2}[/tex] = end result

Good luck!

Answer: B

Step-by-step explanation: graph b

Answer:

Step-by-step explanation:

quotient of a number and -5 is written as

[tex] \frac{x}{ - 5} [/tex]

Equate it to 2

We have

[tex] \frac{x}{ - 5} = 2[/tex]

Cross multiply

That's

x = 2 × - 5

x = - 10

Hope this helps you

Answer: -10

Step-by-step explanation:

So to set up the equation, it will be x/-5 = 2.

Then, you multiply (because it is the inverse of dividing) 2 by -5, and you get -10.

Answer:

125

Step-by-step explanation:

They want you to work out  [tex]\\\frac{5 *10^{6} }{4*10^{4} }[/tex]

5 x 1000000/ 4 x 10000

[tex]\frac{5000000}{40000}[/tex] = 125

Please let me know if it's not correct.

Hope this helps :)

Answer:

x=42

Step-by-step explanation:

The tens digit of a two-digit number is twice the units digits. put it in an equation:

10(2x)+x = 10x+2x+18

21x=12x+18

21x-12x=18

x=18/9=2

substitute x:

10(2x)+x = 10x+2x+18

10(2*2)+2=10(2)+2(2)+18

42=24+18

Answer:

[tex]\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }[/tex]

Step-by-step explanation:

hello,

[tex]2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2[/tex]

hope this helps

Answer: 240 seconds OR 4 minutes

Step-by-step explanation:

Length of the train = 1 km

Length of the tunnel = 1 km

Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km

= 2000 m

Speed of the train = 30 km/hr = 8.333 metres per second

Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.

= 240 seconds = 4 minutes

Answer: A  y=4x -5 and y=4x+5

Step-by-step explanation:

They have no solutions because they have the same slopes but different y intercepts. That works with any equation.

Answer:

the answer is A

Step-by-step explanation:

Answer:

58, 38 and 76

Step-by-step explanation:

(a)

The median is represented by the vertical line inside the box

median = 58

(b)

The interquartile range is the difference between the upper quartile and the lower quartile.

The upper quartile is the value at the right of the box, that is 72

The lower quartile is the value at the left of the box, that is 34

Interquartile range = 72 - 34 = 38

(c)

The range is the difference between the largest and smallest value

max value is the value at the right of the data, that is 86

min value is the value at the left of the data, that is 10

Range = 86 - 10 = 76

Answer:

Oregon:

Median: 467.5

Mean: 451.33

Standard Deviation: 113.6

Washington:

median: 380

Mean: 396.6

Standard deviation: 56.3

Step-by-step explanation:

To calculate the median, we need to organize the price and select the value that is in the middle position.

To calculate the mean, we need to sum all the values and divide them by the number of values

To calculate the standard deviation, we need to square the distances between every price and the mean, sum it all and divide them by the number of values less 1 and finally calculate the square root.

So, for Oregon, the organized values are:

$295, $345, $460, $475, $538, $595

The median is a value between $460 and $475. it is calculated as:

[tex]\frac{460+475}{2}=467.5[/tex]

The mean is:

[tex]\frac{295+475+345+595+538+460}{6}=451.33[/tex]

The standard deviation is:

[tex]\sqrt{\frac{(295-451.3)^2+(475-451.3)^2+(345-451.3)^2+(595-451.3)^2+(538-451.3)^2+(460-451.3)^2}{6-1}}=113.6[/tex]

At the same way, we can calculate the median, mean, and standard deviation for Washington and get:

median: 380

Mean: 396.6

Standard deviation: 56.3

Answer:

-5

Step-by-step explanation:

This is a quadratic polynomial that has the form ax²+bx+c :

here the coefficient of b is -5

Answer:

5

but if you sure just looking for the coefficient to just plain b, it is 5

the coefficient of (b^2) is  1 and  the coefficient of  b itself -5

the reason  i say coefficient  to (b^2) is 1 because there is no numder  in front

of the variable , it is automatically  assumed to be 1

Step-by-step explanation:

a coefficient is a numder  that a variable is multiplied by

Answer:

The answer is below

Step-by-step explanation:

Given that, there are only two available choices, which are a black or white duck, this can be represented using a coin: H→White duck, T→Black Duck

Hence, to represent a set of possible outcomes, the coin has to be tossed three times.

Thus, we assume that, at the minimum we have total number of Ducks = 3 Black + 3 White = 6 Ducks

Total Favorable Outcome = 2 White + 1 Black

Total Possible Outcome = Selecting 3 Ducks (2 White +1 Black) from 6 Ducks

Formula to Calculate Probability

     =  Total favourable outcome ÷ Total possible outcome

Use ,C(n,r)= n! / (n - r)! r!

Therefore, the Probability of two white ducks one black duck swimming together

              = ³C² * ³C¹ ÷ 6C3 = 9/20

To use Simulation Coin Flip, we have the following:

H→White duck, T→Black Duck

HHH→Three White Ducks Swimming together

TTT→Three black ducks Swimming together

HHT→Two white duck and a Black Duck swimming together

HTH→Two white duck and a Black Duck swimming together

THH→Two white duck and a Black Duck swimming together

TTH→Two Black duck and a White Duck swimming together

THT→Two Black duck and a White Duck swimming together

HTT→Two Black duck and a White Duck swimming together

Finally, to find the probability, divide the observed desired outcomes by the total number of trials.

Answer:

There are only two choices, a black or white duck, so a coin is the best choice. To represent a set of possible outcomes, toss the coin three times. Repeat the experiment multiple times. To find the probability, divide the observed desired outcomes by the total number of trials.

Step-by-step explanation:

edg2020

Answer:

k-4.7

Step-by-step explanation:

It is k minus 4.7 because when it says less than it means the number that is stated before the phrase is being subtracted :)

Answer:

k-4.7

Step-by-step explanation:

For writing algebraic expressions, we have translate the words to math.

4.7 less than a number k, means subtraction (notice the word- less)

Thus, we have k-4.7

Hope this helps :)

Answer:

There are 60 * 60 = 3600 seconds in one hour so the plane goes 15000 / 3600 = 4 and 1/6 miles per second.

Answer:

Step-by-step explanation:

[tex]1500 \: miles \: \: per \: hour[/tex]

[tex] = \frac{15000}{60 \times 60} [/tex]

[tex] = \frac{15000}{3600} [/tex]

[tex] = \frac{25}{6} [/tex]

[tex] = 4 \frac{1}{6} \: miles \: per \: second[/tex]

Hope this helps...

Good luck on your assignment...

Answer: Hope this helps <3

Step-by-step explanation:

Answer: y+1=-2(x-1)

Step-by-step explanation:

The point-slope formula is [tex]y-y_{1}=m(x-x_{1})[/tex]. Since we know the coordinate and slope, we can directly plug them in.

[tex]y-(-1)=-2(x-1)[/tex]

[tex]y+1=-2(x-1)[/tex]

Answer:

ordered pairs for the

x-intercept : (6,0)

 y- intercepts :(0,9)

Step-by-step explanation:

Given equation : 3x-2y=18

X- intercept on coordinate plane is point where the line intersect the x- axis.

The coordinate of point y is 0 for x-intercept.

Based on this let the coordinate of X- intercept be (x,0)

we will plug this value in equation 3x-2y=18, to find value of x and hence we will get x-intercept

3x-2y=18

3x -2*0 =18

=> 3x = 18

=> x = 18/3 = 6

Thus, coordinate of x-intercept is (6,0)

________________________________________________

Y- intercept on coordinate plane is point where the line intersect the y- axis.

The coordinate of point x is 0 for y-intercept.

Based on this let the coordinate of X- intercept be (0,y)

we will plug this value in equation 3x-2y=18, to find value of y and hence we will get y-intercept

3x-2y=18

3*0 -2y =18

=> 2y = 18

=> y = 18/2 = 9

Thus, coordinate of y-intercept is (0,9)

I hope this helps you

Answer:  B) sin θ = 5/13    and    D) tan θ = 5/12

Step-by-step explanation:

[tex]\csc\theta=\dfrac{r}{y}=\dfrac{13}{5}[/tex]

Use Pythagorean Theorem: x² + y² = r² to calculate x = 12

[tex]\sin \theta=\dfrac{y}{r}=\dfrac{5}{13}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\dfrac{13}{5}\\\\\\\\\cos \theta=\dfrac{x}{r}=\dfrac{12}{13}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\dfrac{13}{12}\\\\\\\\\tan \theta=\dfrac{y}{x}=\dfrac{5}{12}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\dfrac{12}{5}[/tex]

Answer:

hope this helps you

Answer:

Step-by-step explanation:

1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.

2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.

3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.

A radius that meet the chord at center C, and divides it into two equal parts.

So that;

AC = CB = 5 units

Applying Pythagoras theorem to ΔOCB,

OC = d, CB = 5 units and OB = 13 units

[tex]13^{2}[/tex] = [tex]5^{2}[/tex] + [tex]d^{2}[/tex]

169 = 25 + [tex]d^{2}[/tex]

169 - 25 = [tex]d^{2}[/tex]

144 = [tex]d^{2}[/tex]

⇒ d = [tex]\sqrt{144}[/tex]

       = 12 units

Therefore, the chord is at a distance of 12 units to the center of the circle.

A chord is a straight line joining 2 points on the circumference of a circle.

The line that connects any two points of the circumference of a circle is known as a chord.

Theorem: A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.

Converse: The perpendicular bisector of a chord passes through the center of a circle.

Problem: In the given figure the radius of the circle is 5 cms. what is the length of the chord?

Solution:

Given to us,

radius of the circle, r = 5 cms,

RA = 1 cm,

Radius, r = OA = OP = OQ = 5 cms.

Also, OR = OA - OR = 4 cms.

In ΔOPQ,

According to Pythagorus theorum,

OP² = OR² + RP²

5² = 4² + RP²

RP² = 25 -16 = 9

RP = 3,

We know,

A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.

A radius (OA) that is perpendicular to a chord divides the chord into two equal parts(RP = RQ).

Therefore, chord = RP + RQ = 3+3 = 6 cms.

To know more visit:

https://brainly.com/question/11833983

Answer:

The answer would be f(a)=-1

-AC I hope this helps<3

Answer:

reflection and rotation

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given figure : Trapezium

Upper base of trapezium ( b1 ) = 7

Lower base ( b2 ) = 3

Height ( h ) = 3

Now, finding the area of trapezium:

[tex] \frac{1}{2} (b1 + b2)h[/tex]

Plugging the values

[tex] \frac{1}{2} \times (7 + 3) \times 3[/tex]

Calculate the sum

[tex] \frac{1}{2} \times 10 \times 3[/tex]

Reduce the numbers with G.C.F 2

[tex]5 \times 3[/tex]

Calculate the product

[tex] = 15 \: {units}^{2} [/tex]

Hope this helps..

Best regards!

Answer:

6a + 12b + 18c

Step-by-step explanation:

6 (a +2b+3c)

Distribute

6a + 6*2b + 6*3c

6a + 12b + 18c

Answer:

  y = (1/3)x +4

Step-by-step explanation:

The line intercepts the y-axis at y=4. It has a "rise" of 1 unit for each "run" of 3 units, so its slope is rise/run = 1/3.

The slope-intercept form of the equation of a line is ...

  y = mx + b . . . . . where m is the slope and b is the y-intercept.

When we put the proper numbers in the equation, we have ...

  y = (1/3)x + 4

Answer: 6 of 1/8 cups

Step-by-step explanation:

Answer:

He needs 6 more spoons

Step-by-step explanation:

Since Jimmy needs 3/4 cups of flour and only has 1/8 cups as his measuring spoon, we can do 3/4 = x/8

Now, we need to make the denominator the same, so we will multiply 2 from the numerator and denominator in 3/4.

Afterwards, the equation would be : 6/8 = x/8

x = 6

Answer:

[tex]\left[\begin{array}{ccc}-5\\-5\\\end{array}\right][/tex]

Step-by-step explanation:

Consider any one of the vertices of A

To translate to the corresponding vertex in B , the requirement is

shift 5 to the left, that is negative 5

shift 5 units down that is negative 5

The single translation is [tex]\left[\begin{array}{ccc}-5\\-5\\\end{array}\right][/tex]

Answer:

[tex]\boxed{\sf \ \ \ x^3-2x^2-19x+20 \ \ \ }[/tex]

Step-by-step explanation:

hello,

by definition we can write

[tex](x-5)(x+4)(x-1)[/tex]

as 5,-4,1 are the zeroes

now we have to write it in the standard form, let's do it

[tex](x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20[/tex]

hope this helps