Use the substitution method to solve the system of equations: y = x + 6; y = 2x + 1. Write the answer as a point.

Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant

Viktor [21]

Answer:

Therefore $k= \frac{ln2 }{18}$ , A=184

Step-by-step explanation:

Given function is

$T(t)=230 -e^{-kt}$

where T(t) is the temperature in °C and t is time in minute and A and k are constants.

She noticed that after 18 minutes the temperature of the pie is 138°C

Putting T(t) =138°C and t= 18 minutes

$138=230 -Ae^{-k\times 18}$

$\Rightarrow -Ae^{-18k}=138-230$

$\Rightarrow Ae^{-18k}=92$ .....(1)

Again after 36 minutes it is 184°C

Putting T(t) =184°C and t= 36 minutes

$184=230-Ae^{-k\times 36}$

$\Rightarrow Ae^{-36k}=230-184$

$\Rightarrow Ae^{-36k}=46$ .......(2)

Dividing (2) by (1)

$\frac{Ae^{-36k}}{Ae^{-18k}}=\frac{46}{92}$

$\Rightarrow e^{-18k}=\frac{46}{92}$

Taking ln both sides

$ln e^{-18k}=ln\frac{46}{92}$

$\Rightarrow -18k =ln (\frac12)$

$\Rightarrow -18k= ln1-ln2$

$\Rightarrow k= \frac{ln2 }{18}$

Putting the value k in equation (1)

$Ae^{-18\frac{ln2}{18}}=92$

$\Rightarrow A e^{ln2^{-1}}=92$

$\Rightarrow A.2^{-1}=92$

$\Rightarrow \frac{A}{2}=92$

$\Rightarrow A= 92 \times 2$

⇒A= 184.

Therefore $k= \frac{ln2 }{18}$ , A=184

7 0

2 years ago

Pls help!!! I will make you brainiest

Ksenya-84 [330]

Answer:

y=-x

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the measure of . (to the nearest tenth) PLEASE I NEED HELP :((

Kobotan [32]

Answer:

Step-by-step explanation:

This is classic right triangle trig. First decide how each side is related to the angle theta. The side 7.7 is opposite the angle theta, while the side 14 is adjacent. That is the tangent ratio by definition. Setting up the tan ratio:

$tan\theta=\frac{7.7}{14}$

To find a missing angle on your calculator, hit the 2nd button, then the tan button and enter in 7.7/14 and hit enter. You should get an angle measure of 28.8°

If you did not get 28.8 then you are probably in radians. Check it in the "mode" of your calculator.

7 0

2 years ago

Anne has 24 more cards than devi. anne finds that 3/5 of devi's cards are equal to 1/2 of her cards. how many cards does anne

VMariaS [17]

Anne = x
devi = y
x = y + 24
1/2 x = 3/5 y
x = 6/5 y (we devided both by 1/2)
6/5 y = y + 24
6/5 y - y = 24
1/5 y = 24
y = 24 * 5 = 120
x = 120 + 24 = 144
so anne has 144 cards and devi has 120 cards.

6 0

2 years ago

The cot for renting a car a day i $0. 50 per mile, plu a $15 flat fee. Writ an equation to repreent the relationhip. Let x be th

7nadin3 [17]

The equation representing the given relationship is

y = 0.50x + 15

Given, The cost for renting a car a day is $0.50 per mile, plus a $15 flat fee.

we have to find an equation to represent the given relationship.

Let the number of miles driven be, x

and the total cost be, y

total cost = cost per mile × miles driven + flat fee

Total cost = 0.50 × miles driven + 15

y = 0.50x + 15

Hence, the equation representing the given relationship is

y = 0.50x + 15

Learn more about Linear Equations here brainly.com/question/25869125

#SPJ4

3 0

3 months ago