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PolarNik [594]
2 years ago
11

jake and jamie are at a restaurant for lunch. jake orders spaghetti for $9.59 and a soda for $2.03. jamie orders a club sandwich

for $7.48 and some fries for $3.16. When its time to pay, they give the server $26.00 and leave their change as a tip. Who spent more on lunch? How much more? How much money did they leave as a tip?
Mathematics
1 answer:
DIA [1.3K]2 years ago
5 0
Jake spent more on lunch. They left $3.74 as the tip.
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State the chain rule for the derivative dy/dt if y(t)=f(u(t))(chain of f and u)
Ann [662]

Answer:

\displaystyle\frac{d(y(t))}{dt} =\displaystyle\frac{d(f(u(t)))}{dt} = f'(u(t)).u'(t)

Step-by-step explanation:

The chain rule helps us to differentiate functions and a composition of two functions.

Let r(u) and s(u) be two function. Then, composition of these two functions can be be differentiated with the help of chain rule. It states that:

\displaystyle\frac{d(r(s(u)))}{du} = r'(g(u)).s'(u)

Now, we are given

y(t) = f(u(t))

Then, by chain rule, we have:

\displaystyle\frac{d(y(t))}{dt} =\displaystyle\frac{d(f(u(t)))}{dt} = f'(u(t)).u'(t)

4 0
2 years ago
I'm trying to figure out y = 1/3 (x - 4)^2
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4 0
3 years ago
Find the distance between the points (8,1) and (2,10).<br> Round decimals to the nearest tenth.
miss Akunina [59]

The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

Step-by-step explanation:

The given is,

             Two points are (8,1) (2,10)

Step: 1

            By graphical method, refer the attachment,

                    First point (8,1)

                           The values of x=8 and y=1 noted in the graph

                    Second point (2,10)

                          The values of x=2 and y=10 noted in the graph

            Now join the two points (8,1) and (2,10)

                          Measure the distance between two points, the distance is 11 units. Due to some error the value becomes 10.98 or 11.1 we need to convert the answer into nearest whole number.

                                                     ( OR )

Step:1

        By formula method,

                   Distance =  \sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1} )^{2} }.....................(1)

        Where,

                    (8,1) are (x_{1},y_{1})

                    (2,10) are (x_{2},y_{2})

       From the equation,

                                 = \sqrt{(2 - 8 )^{2} +(10 - 1 )^{2} }

                                 = \sqrt{(-6 )^{2} +(9 )^{2} }

                                 = \sqrt{36 +81 }

                                  = \sqrt{117}

                                  = 10.81665

                                  ≅ 11             ( Answer convert to the nearest tenth)

                  Distance = 11 units

Result:

               The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

5 0
3 years ago
A bug dug 60 inches straight down below ground and then continued digging 144 inches parallel to the ground. Finally, he realize
Effectus [21]

156 inches is the shortest distance to dig diagonally through dirt to get to his family.

<u>Step-by-step explanation:</u>

  • A bug dug 60 inches straight down below ground.
  • Then continued digging 144 inches parallel to the ground.

This forms the angle 90° between the two lines.

After he realized to turn back., the shortest distance is to dig diagonally.

This forms the hypotenuse side of the triangle.

Therefore, the given data can be assumed as a right angled triangle.

<u>To find the diagonal path (hypotenuse) :</u>

Use the Pythagorean triplets for right angle triangle,

We know that the triplet is (5,12,13).

  • It is given that, the height is 60 inches ⇒ 5 × 12
  • The base is of 144 inches ⇒ 12 × 12

Therefore, the third side hypotenuse must also be a multiple of 12.

From the triplets (5,12,13), the hypotenuse is 13 and it is multiplied by 12.

Diagonal path ⇒ 13 × 12 = 156  inches.

∴ 156 inches is the shortest distance to dig diagonally through dirt to get to his family.

5 0
2 years ago
Given f(x) = 6x^4 – 10x^3 + 40x – 50, find f(2)
ASHA 777 [7]
F(x)=6x^4-10x^3+40x-50, plug 2 in for x
f(2)=6(2)^4-10(3)^3+40(2)-50
f(2)=12^4-30^3+80-50
f(2)=20735-27,000+80-50
f(2)=-6,235
4 0
2 years ago
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