Tammy takes a taxi home from the airport. The taxi fare is $2.10 per mile, and she gives the driver a tip of $5. Tammy pays a total of $49.10. What is the distance (in miles) between Tammy's home and the airport?

Answer:

[tex]y=2-2\cos(x)[/tex]

Step-by-step explanation:

We have the differential:

[tex]y^\prime=2\sin(x)[/tex]

With the general solution:

[tex]y=C-2\cos(x)[/tex]

And we want to find the particular solution such that it satisfies the initial condition:

[tex]\displaystyle y\Big(\frac{\pi}{3}\Big)=1[/tex]

So, we have:

[tex]y=C-2\cos(x)[/tex]

Substituting π/3 for x and 1 for y yields:

[tex]\displaystyle 1=C-2\cos\Big( \frac{\pi}{3} \Big)[/tex]

Solve for C. Evaluate:

[tex]\displaystyle 1=C-2(\frac{1}{2})[/tex]

Simplify:

[tex]1=C-1[/tex]

Hence:

[tex]C=2[/tex]

Therefore, our particular solution will be:

[tex]y=2-2\cos(x)[/tex]

Hence, our answer is C

Given:

Consider the below figure attached with this question.

To find:

The perimeter of the polygon UVWXYZ.

Solution:

All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.

From the figure it is clear that,

UV = 9 units

VW = 2 units

WX = 3 units

XY = 3 units

YZ = 6 units

ZU = 5 units

Now, perimeter is the sum of all the sides.

[tex]Perimeter=UV+VW+WX+XY+YZ+ZU[/tex]

[tex]Perimeter=9+2+3+3+6+5[/tex]

[tex]Perimeter=28[/tex]

Therefore, the perimeter of UVWXYZ is 28 units.

Answer:

15 feet

Step-by-step explanation:

you and your friend basically formed two different triangles, and in order to determine the distance that the ball traveled we must calculate both hypotenuses:

triangle 1:

hypotenuse = √(8² + 6²) = √100 = 10 feet

triangle 2:

hypotenuse = √(4² + 3²) = √25 = 5 feet

total distance traveled by the ball = 10 + 5 = 15 feet

Step-by-step explanation:

It is given that,

Sam opened a savings account with a deposit of $50. Every month after that, he  deposited $20 more.

It is not a proportional relationship. As initial amount was $50 and every month he deposited $20 more. The ratio is not constant for the deposited amounts.

To make the relationship proportional, he must start with zero balance and then should have deposited $20 every month.

Answer:

-63

Step-by-step explanation:

6x - 3y

= 6 × -4 - 3 × 13

= -24 - 39

= -63

Answer:

3L

Step-by-step explanation:

Answer:

25 upon 100 into 28

And add to 28 for total

Step-by-step explanation:

What I did was I found what 25% of $28 is, which is $7. The equation came to this:

[tex]28+7=35[/tex]

The total price with the 25% tip is $35

Thank you!  Btw can I please get brainly :3

Answer:

how much was on it and how many is the maximum movies

Step-by-step explanation:

Answer:

The meaning of (4,22) is Magi had run 4 mike's in 22.5 mins

Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest

Answer:

No, you are correct for the first one. The meaning of the point (4, 22) is that Magi took 22 minutes to run 4 miles.

Step-by-step explanation:

(4, 22) is written as (x, y) where x is the number of miles Magi ran and y is the number of minutes Magi took.

Thus, when Magi ran 4 miles, she took 22 minutes.

Answer:

if there are no typos, line is y=0

Step-by-step explanation:

slope intercept form is y=mx+b

m= slope

b= y intercept

slope is found by y2-y1 / m2-m1

so using the points (-1, 0) and (-5, 0)

(0-0) / (-5 - -1)

= 0/ -4

= 0

m=0

y=0x+b

plug in a point to find b

0=0*-1 +b

b=0

The line is just y=0

please give thanks by clicking the heart button :)

Answer: 9.05-0.75=$8.3

Step-by-step explanation:

Answer: The answer is 626

Step-by-step explanation:

Substitute 11 for x, you get 626.

Given :

Ellis is making some beef burgers for his friends.

His recipe 500g of beef mince and 120g of cheese to make four burgers.

He buys 1.5 of mince and 400g of cheese, and makes as many burgers as possible.

To Find :

How much cheese will he have left over.

Solution :

500 g and 120 g of beef mince and cheese respectively make 4 burgers.

125 g and 30 g of beef mince and cheese respectively make 1 burgers.

Now, we will keep increasing  the ingredients until there is any shortage of any ingredients.

1000 g and 240 g will make 8 burgers.

1500 g and 360 g will make 12 burgers.

1625 g and 390 g will make 13 burgers.

Cheese left is ( 400 - 390 ) g = 10 g.

Therefore, 10 grams of cheese will be left.

Step-by-step explanation:

AC^2=AB^2+BC^2

c^2=9^2+12^2

c^2=81+144

c^2=225

c=15

Hi!

[tex]\spadesuit[/tex] We're given an equation in slope-intercept form.

                          [tex]\clubsuit~~~\large\boldsymbol{y=mx+b} ~~~\clubsuit[/tex]

where:

[tex]\clubsuit ~\boldsymbol{m - > slope}[/tex]

[tex]\clubsuit~~\boldsymbol{b- > y-intercept}[/tex]

Therefore,

[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:-7}\\\bold{y-intercept:12}\end{cases}}}}[/tex]

I hope that helped, have a wonderful day. :)

Answer:12months

Step-by-step explanation:

There are 12 months in a year

Answer:

12.50$

Step-by-step explanation:

3 dollars for 1 yard

3x4=12

.25x2=50

12.50$

Answer:

12. B

13 A

18 B

19 B

Step-by-step explanation:

12. The solutions of the quadratic is the roots, so 0 = x^2 -7x -30 = (x-10)(x+3). For this to be satisfied, either x-10 = 0 -> x = 10 and x + 3 = 0 -> x = -3

13. Either x = 0 or x+8 = 0 -> x =-8 for this to be true

18. The GCF of 2, 6, and 20 is 2. No other number satisfies being a common factor.

19. The product of the solutions of the equation is the (constant/leading coefficient) in the quadratic, which is -8/1 = -8

I hope this helps! :)

Answer:

whoa hold up there friend

Step-by-step explanation:

it will be 4,6,8,10 and the 2nd one is $10,$15,$20,$25

Answer:

y = -3/4x -5

Step-by-step explanation:

The slope always goes first, then  variable x and the y intercept comes last

Answer:

n = 36

Step-by-step explanation:

[tex]\frac{28}{n}[/tex]=[tex]\frac{7}{9}[/tex]

=> 28 x 9 = n x 7

=> 252 = 7n

=> n = 252 ÷ 7 = 36

Answer:

n= 36

Step-by-step explanation:

solve for n by cross multiplying

Hope this helped you :)

Answer:

The missing value in the ordered pair is 66

Step-by-step explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

[tex]x_1=12, y_1=10\\x_2=-2, y_2=r[/tex]

Putting the values in slope of line formula,

[tex]-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\[/tex]

Multiplying both sides by -14

[tex]-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66[/tex]

The value of r is 66

Hence,

The missing value in the ordered pair is 66

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rewrite x2 + 15x = -57 as x^2 + 15x + 57 = 0, in which the coefficients of this quadratic are {1, 15, 57}.

Then the discriminant is b^2 - 4ac  =  225 - 4(1)(57) = -3

Because the discriminant is negative, we know that the two roots will be complex.  They are:

      -15 ±i√3

x = ---------------

             2

9514 1404 393

Answer:

  x = -7.5 ± i(√3)/2

Step-by-step explanation:

We can add (15/2)² to complete the square:

  x² +15x +(15/2)² = -57 +(15/2)²

  (x +7.5)² = -0.75

  x +7.5 = ±i(√3)/2 . . . . take the square root

The roots are ...

  [tex]x=\displaystyle\left \{ {{-\dfrac{15}{2}+i\dfrac{\sqrt{3}}{2}} \atop {-\dfrac{15}{2}-i\dfrac{\sqrt{3}}{2}}} \right.[/tex]

Answer: 1600

Step-by-step explanation:

If there is a total amount of 19200 pieces within 12 puzzle boxes, then we'll have to divide 19200 by 12.

19200 ÷ 12 = 1600.

In conclusion, 1600 pieces are in each puzzle box.

Hope this helps!

Answer:

1,600 pieces per puzzle

Step-by-step explanation:

19,200/12= 1,600

you divide because you have the total amount of puzzle pieces and you have the amount of puzzles so

Answer:

(3x - 17)

Step-by-step explanation:

hope this helps