A taxi firm charges a fixed cost of $10 together with a variable cost of $3 per mile. (a) Work out the average cost per mile for a journey of 4 miles. (b) Work out the minimum distance travelled if the average cost per mile is to be less than $3.25

Answer:

$21

Step-by-step explanation:

Find the cost of the wristband that took an hour and a half to make:

2(1.5) + 7

= 10

Find the cost of the one that took 2 hours to make:

2(2) + 7

= 11

Add together the prices:

10 + 11

= 21

So, it will cost $21

(r,θ) = (7.28,254.05°) are 2-7i in polar coordinates on the complex plane.

The polar coordinates system is a two-dimensional coordinate system in which each point is determined by distance from the point and an angle from the reference direction.

I. Polar form = (r,θ) = (7.28,254.05°)

z = 2 - i7

r= [tex]\sqrt{ 2^2+-7^2}[/tex]

= √53

 = 7.28

θ = tan^-1 (-7/-2)

  =3.5

  = 74.05

Point lies in the third quadrant

Hence θ = 180+74.05

              = 254.05°

Polar form = (r,θ) = (7.28,254.05°)

II. Z=16

De Moivre's theorem states if

z= r(cos(θ) + i sin (θ)) , then

[tex]z^2=r^2(cos(n\theta)+ i sin (n\theta))[/tex]

[tex]r= \sqrt{1^2+1^2}[/tex]

= √2

θ= arc tan (1/1)

  = π / 4

z= √2 (cos (π / 4)+i sin (π / 4))

z^8 = (√2 (cos (π / 4)+i sin (π / 4)))^8

= (√2 (cos (8π / 4)+i sin (8π / 4)))^8

=16 (cos(2π) + i sin (2π)

=16

Learn more about polar form;

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Answer:

1234567891011121314151617181920

Step-by-step explanation:

you just count

Answer:

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:

y = -29.202x + 293.5

Step-by-step explanation:

Select the correct answer.

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table

Answer:

3 times

Step-by-step explanation:

Step 1: Express the volume of the cup in terms of "r" (radius) and "h" (height)

The formula for the volume of a cone is:

Vcone = 1/3 × h × π × r²

Step 2: Express the volume of the container in terms of "r" and "h"

The formula for the volume of a cylinder is:

Vcylinder = h × π × r²

Step 3: Calculate how many times the volume of the cone is contained in the volume of the cylinder

Vcylinder/Vcone = (h × π × r²) / (1/3 × h × π × r²) = 3

Answer:

y = 5/3x + 9

Step-by-step explanation:

y = 5/3x + b

4 = 5/3(-3) + b

4 = -5 + b

9 = b

Answer:

18 seconds

Step-by-step explanation:

5x9=45 so 2x9=18

Answer:

There are 80 questions on the test

Step-by-step explanation:

I think this is right, but don't quote me on this.

Work Shown:

I'm assuming you meant to write 4p^3+8p^2+3p+6

If so, then we would have these steps

4p^3+8p^2+3p+6

(4p^3+8p^2)+(3p+6)

4p^2(p+2)+3(p+2)

(4p^2+3)(p+2)

Answer:

[tex]\boxed {\boxed {\sf D. \ 16}}[/tex]

Step-by-step explanation:

We are given the following equation and asked to solve for 2x+1.

[tex]\sqrt {2x+1}=4[/tex]

We want to isolate the entire expression of 2x+1. Notice that it is under the square root. If we want to isolate it, we have to perform the inverse operation. The inverse of a square root is a square, so we square both sides of the equation.

[tex](\sqrt{2x+1} )^2= (4)^2[/tex]

[tex]2x+1=(4)^2[/tex]

[tex]2x+1=16[/tex]

We could continue solving for x, then plug the answer back into the expression 2x+1. However, hopefully you notice that we already found the answer!

We only had to do one step to find the answer, but you could complete many other steps to get the same answer:

[tex]2x+1-1=16-1\\2x=15\\2x/2=15/2\\x= 7.5[/tex]      (Solve for x)

[tex]2x+1\\2(7.5)+1\\15+1\\16[/tex]                   (Plug the answer in for x)

The value of 2x+1 is 16 and the correct answer is 16.

Answer:

13

Step-by-step explanation:

the scale factor is 4:1 so just divide 52 by 4.

Answer:

L = 3.5 in/sec  * 3 min  * 60 sec /min = 630 in

(L = S * T   where T is in sec and S is inches / sec)

Answer:

3

Step-by-step explanation:

We are going to be using cofunction identity cos(90-x)=sin(x).

Apply to either side but not both.

cos(22f − 1) = sin(7f + 4)

sin(90-[22f-1])=sin(7f+4)

90-[22f-1]=7f+4

Distribute

90-22f+1=7f+4

Combine like terms

91-22f=7f+4

Add 22f on both sides

91=29f+4

Subtract 4 on both sides

87=29f

Divide 29 on both sides

3=f

f=3 is between 0 and 90

Answer:

The answer is "3."

Step-by-step explanation:

Just submitted the test and got the answer correct!

Answer:

each member needs to put in 91.70 dollars in.

Step-by-step explanation:

you add the costs of all the tools needed. in this case the two controllers and wheels which adds up to 275.1.

then you divide by the amount of people which is three. so 275.1/3 and you get 91.7

Answer:

[tex]\frac{x}{100}[/tex] x 25000 = 3500

[tex]x[/tex] x 250 = 3500

x = 3500/250

x = 350/25

x = 14%

Answer:

i dont see a diagram ?

Step-by-step explanation:

Answer:

AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.

Answer:

E

Step-by-step explanation:

He makes 30 per hour with the 20 extra therefore f(x)=30x+20

Answer:

Zach chose C as the correct answer

Answer:

A

Step-by-step explanation:

Rosa started with d amount of drawings. After selling 17, she has 22 left. So the equation is d-17=22. 17+22=39, so d must equal 39.

Answer:

Step-by-step explanation:

This is an isosceles triangle because 2 of the sides are the same length (marked with single slashed through them). The Isosceles Triangle Theorem tells that if 2 sides are congruent to each other, then the angles opposite those sides are congruent to each other as well. That means that the bottom left angle measures 68. According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180, so:

x = 180 - 68 - 68 so

x = 44

Answer:

Solution given:

Relationship between perpendicular and hypotenuse is given by sin angle

Sin 30°=opposite/hypotenuse

½=[tex]\frac{x}{9}[/tex]

x=[tex]\frac{9}{2}[/tex]

The value of x is [tex]\frac{9}{2}[/tex]

Answer:

The dryer costs $325.

Step-by-step explanation:

Let w represent the cost of the washer and d represent the cost of the dryer.

They cost $587 combined. In other words:

[tex]w+d=587[/tex]

The washer costs $63 less than the dryer. Therefore:

[tex]w=d-63[/tex]

Thus, we have the system of equations:

[tex]\displaystyle \begin{cases} w+d = 587 \\ w=d-63\end{cases}[/tex]

We can solve it using substitution. Substitute the second equation into the first. Hence:

[tex](d-63)+d=587[/tex]

Combine like terms:

[tex]2d-63=587[/tex]

Add 63 to both sides:

[tex]2d=650[/tex]

And divide both sides by two. Hence:

[tex]d=325[/tex]

The dryer costs $325.

Further Notes:

And since the washer is $63 less, the washer costs:

[tex]w=(325)-63=262[/tex]

The washer costs $262.

Answer:

95. 45%

Step-by-step explanation:

Given :

Mean score, = 64

Standard deviation = 2

Score between 60 and 68

P(Z < (x - mean) / standard deviation)

P(Z < (60 - 64) / 2) = P(Z < - 2) = 0.02275 (Z probability calculator)

P(Z < (68 - 64) / 2) = P(Z < 2) = 0.97725 (Z probability calculator)

P( score between 60 and 68)

P(Z < 2) - P(Z < - 2)

0.97725 - 0.02275 = 0.9545

Score between 60 and 68 = 0.9545 = 0.9545 * 100% = 95.45%

Answer:

x = 48.125

Step-by-step explanation:

Explanation in progress! (●'◡'●)

Answer:

48.25

Step-by-step explanation:

first wirte the same qa and write long qa and write the ans in procesa

Answer:

Hence the correct answer is option (A) 4.708.

Step-by-step explanation:

Solution:-

Now, we need to find the angle of the sector by using sector  formula,

[tex]A = 28.25 ft^{2} \\r = 12ft.\\\\28.25 = \frac{\theta}{360^{o} } \times \pi \times 12^{2} \\\\\theta=\frac{28.25\times 360}{12 \times12 \times \pi} \\\\\theta =( \frac{70.625}{\\pi} )^{o}[/tex]

We now convert the angle to radian  

[tex]\theta = \frac{70.625}{\pi} \times \frac{\pi}{180}\\\\\theta = 0.39236 radian[/tex]  

Now we calculate the length of arc by arc formula  

[tex]\theta=\frac{I}{12} \\\\0.39236 =\frac{I}{12}\\\\I = 4.708 feet.[/tex]  

So, The length of steel that must be replaced is 4.708 ft.  

Answer:

measure of angle V + measure angle W = VUF

Answer:

∠ VUF = 94°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles

∠ VUF is an exterior angle of the triangle, then

∠ VUF = 71° + 23° = 94°

Answer:

x = 25.5

Step-by-step explanation:

suppose RS and MQ are parallel the sum of angle MRS and RMN would be 180 degrees

2x + x + x 78 = 180 add like terms then subtract 78 from both sides

4x = 102 divide both sides by 4

x = 25.5

Answer:

Square is the answer

hope it helps u

plz mark it as brainliest

[tex]\bold{\frac{5}{13} or 0.38}[/tex]

Answer:

Solution given:

here

by using Pythagoras law

hypotenuse =

[tex]\displaystyle\sqrt{adjacent ²+opposite ²}\\=\sqrt{15²+36²}=39[/tex]

Cos C=[tex]\frac{adjacent} {hypotenuse}=\frac{15}{39}=\frac{5}{13} or{0.38}[/tex]