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2 years ago

Which of the following is equivalent to 60 Superscript one-half?

Mathematics

1 answer:

vitfil [10]2 years ago

4 0

Answer:c

Step-by-step explanation:

The Answer is C.

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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

2 years ago

The function f(x)=tan(3/2x-pi/2) has:

zlopas [31]

I think the best option here is B. <span>period 2pi/3 and asymptote at x=0
</span>because period of tanx is pi so period of tan(3/2x) is pi/(3/2) = 2pi/3. I hope this can work good for you.

3 0

2 years ago

The Andersons have a booth at the farmers market they set up each weekend over the summer they sell homemade apple pie for $9.75

butalik [34]

Answer:

The money they make on selling pies on Saturday is $68 (approximately).

Step-by-step explanation:

Given:

Cost of an apple pie is $9.75.

Total apple pie sold on Saturday is 7.

So, to get the total amount of apple pie sold on Saturday:

$Cost\ of\ an\ apple\ pie\times Number\ of\ apple\ pie\ sold$

$9.75\times 7$

$=68.25$

Total amount = $68.25.

Therefore, the money they make on selling pies on Saturday is $68 (approximately).

7 0

2 years ago

Read 2 more answers

The two cones below are similar. What is the value of x?

Rama09 [41]

It is B just put it in calculator and abs divided

6 0

2 years ago

Read 2 more answers

A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first

larisa [96]

Answer:

D. 0.002

Step-by-step explanation:

Given;

total number of sample, N = 500 elements

50 elements are to be drawn from this sample.

The probability of the first selection, out of the 50 elements to be drawn will be = 1 / total number of sample

The probability of the first selection = 1 / 500

The probability of the first selection = 0.002

Therefore, on the first selection, the probability of an element being selected is 0.002

The correct option is "D. 0.002"

4 0

2 years ago