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pogonyaev
3 years ago
6

4

Mathematics
1 answer:
cupoosta [38]3 years ago
3 0
Because it is not spent
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Which exponential function goes through the points (1, 16) and (4, 128)?
djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are f(x)=8(2)^{x}

Step-by-step explanation:

We know that a general exponential function is like,y=a(b)^{x}

We can find the answer by hit and trial method by plugging the values of (x,y) coordinates.

Here we are going to solve this with the above general formula.

So as the points are (1,16) then for x=1,\ y=16

Can be arranged in terms of the general equation.

ab^1=16...equation(1) and ab^4=128...equation(2)

a\times b=16, then\ a=\frac{16}{a}

Plugging the values in equation 2.

We have

\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2

Plugging b=2 in equation 1.

We have a=\frac{16}{b} =\frac{16}{2} =8

Comparing with the general equation of exponential a=8 and b=2

So the function which depicts the above points =y=8(2)^x

From theoption we have B as the correct answer.

7 0
4 years ago
A student gives the answer to a probability problem as 6/5. tell why this answer must be incorrect.
Anika [276]

Answer:

Probability of an event must be from 0 to 1.

Here,6/5 is more than 1 i.e. 1.2.

Hence,the answer is incorrect.

8 0
2 years ago
Tracy works at the Pizza Place. She earns $4.50 an hour plus tips. Last week, she earned a total
sweet [91]

Answer:

She work <u>23 hours</u>.

Step-by-step explanation:

Given:

Tracy works at the Pizza Place. She earns $4.50 an hour plus tips.

Last week, she earned a total  of $156.00, of which $52.50 was tips.

Now, to find the number of hours she work.

Total salary  = $156.00

Amount of tips = $52.50.

So, first we deduct the amount of tips from the total salary:

\$156.00-\$52.50\\=\$103.50.

<em>Thus, the remaining salary = $103.50.</em>

As, given salary she earns an hour = $4.50.

And then, to get the number of hours she work last week by dividing $103.50 the remaining salary by $4.50:

103.50\div 4.50

=23\ hours.

Therefore, she work 23 hours.

8 0
4 years ago
If m∠NOP = 24° and m∠NOQ = 110°, what is m∠POQ?
andrew11 [14]

Correct answer for the above question is - option B. 86°

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

Given:

∠NOP = 24°

∠NOQ = 110°

∠NOP and ∠POQ are adjacent angles

To Find:

∠POQ = ?

Solution:

Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )

∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

<u>∠POQ = 86°</u>

Angle POQ is  86°

Thus we can conclude option B as correct answer.

4 0
3 years ago
Please help need the answer now!!
Korvikt [17]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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