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3 years ago

7

X squared minus 6x equals 0

1 answer:

Masja [62]3 years ago

8 0

x²-6x=0

x(x-6)=0

Two solutions are possible:

x=0

x=6

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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

3 years ago

U can start immediately I already got the answer I just need to see if i got it right and understand

umka21 [38]

ANSWER

80 units²

EXPLANATION

One way to solve this is to find the area of the blue square and the subtract the areas of the red triangles:

The blue square is 12 units long by 12 units wide. Its area is:

$A_{\text{square}}=12\times12=144$

Then, the area of the big triangle, which has a base 12 units long and a height of 10 units, is:

$A_{\text{traingle}1}=\frac{12\times10}{2}=\frac{120}{2}=60$

The smaller triangle has a base of 4 units and a heigth of 2 units. Its area is:

$A_{\text{triangle}2}=\frac{4\times2}{2}=\frac{8}{2}=4$

So the total area of the figure is:

$\begin{gathered} A=A_{\text{square}}-A_{triangle1}-A_{triangle2} \\ A=144-60-4 \\ A=80 \end{gathered}$

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1 year ago

(01.03 MC) Jolie can read around 14 sentences per minute of her current novel. She wants to finish her reading before the movie

agasfer [191]

Jolie should set aside 2.5 hours.

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2 years ago

If 75% of the sixth grade class is making a B or higher what percent is making lower than a B?

Darina [25.2K]

Answer: 25%

Step-by-step explanation: 100-75=25

3 0

2 years ago

Read 2 more answers

What percent of 628 is 931?

3241004551 [841]

The answer is 67.45% but you can round it to a 67%

7 0

3 years ago