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Xelga [282]
3 years ago
12

I will give brainliest :)

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
5 0

Answer:

The correct answer is B) 102

Step-by-step explanation:


d1i1m1o1n [39]3 years ago
5 0

Answer:

102

Step-by-step explanation:

1100110

= 0 * 2^0 + 1*2^1 +  1*2^2 + 0 + 0 + 1*2^5 + 1*2^6

= 2 + 4 + 32 + 64

= 102

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Jada walks up to a tank of water that can hold up to 10 gallons.When it is active, a drain empties water from the tank at a cons
worty [1.4K]

Answer:

<em>Part A)</em><em>The amount of water in the tank is changing at </em><em>-2/3 gallons per minute. </em>

<em>Part B) </em><em>it will take </em><em>7.5 minutes</em><em> for the tank to drain completely.</em>

<em>Part C) </em><em>The water tank was completely full </em><em>4.5 minutes</em><em> before Jada arrived.</em>

Step-by-step explanation:

<em>Information fetching:</em>

  • Tank of water can hold up-to 10 gallons.
  • When it is active, a drain empties water from the tank at a constant rate.
  • 7 gallons of water present in the tank when Jade first saw
  • 5 gallons of water left after 3 minutes

<em>Part A) At what rate is the amount of water in the tank changing?</em>

As the gallons were decreased from 7 to 5 in three minutes. It means in three minutes, 2 gallons were decreased.

So, gallons per minute change would be <em>-2/3 gallons per minute. </em>Hence, <em>the amount of water in the tank is changing at </em><em>-2/3 gallons per minute. </em>

<u><em>Note</em></u><u><em>: </em></u><u>negative sign indicates the number of gallons of water are decreasing.</u>

<em>Part B) How many more minutes will it take for the tank to drain completely.</em>

Let 'm' be the number of minutes will it take for the tank to drain completely.

As,

(2/3 gallons per minute) (m minutes) = 5 gallons

So,

    m = 5 (3/2)

      = 15/2

      = 7.5 minutes

<em>So, it will take </em><em>7.5 minutes</em><em> for the tank to drain completely.</em>

<em>Part C) How many minutes before Jada arrived was the water tank completely full</em>

As tank of water can hold up to 10 gallons. So, the tank of water is full when there is 10 gallons of water. So, this is 3 gallons of water more than the total 7 number of gallons at the time when Jada arrived.

As Jada arrived when the tank had left 7 gallons.

Let 'm' be the number of minutes before Jada arrived when the water tank was completely full.

So,

    (2/3) (m) = 3

    m = 3(3/2) = 9/2

        = 4.5 minutes

<em>So, the water tank was completely full </em><em>4.5 minutes</em><em> before Jada arrived.</em>

<em />

<em>Keywords: time rate of change, time</em>

<em> Learn more about time rate of change from brainly.com/question/6279456</em>

<em> #LearnwithBrainly </em>

3 0
3 years ago
How to slove - Tan x°= 1.11 and what is the answer?
jarptica [38.1K]
\bf tan(x^o)=1.11\impliedby \textit{taking }tan^{-1}\textit{ to both sides}&#10;\\\\\\&#10;tan^{-1}[tan(x^o)]=tan^{-1}(1.11)\implies \measuredangle x=tan^{-1}(1.11)

plug that in your calculator, make sure the calculator is in Degree mode
5 0
3 years ago
A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
Ahat [919]

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

5 0
3 years ago
If f(x)=2x+5 and g(x)=x²+5, evaluate the functions:
Ostrovityanka [42]

Answer:

f(-3) = -1

g(-3) = 14

Step-by-step explanation:

plug -3 for x to get the answer

3 0
3 years ago
Read 2 more answers
Compare the two linear functions.Select which has the greater rate of change and which has the greater initial value.
gizmo_the_mogwai [7]

Answer:

Function 1 is Greater Rate of change and Function 2 is Greater inital value

Step-by-step explanation:

I know I have that question

4 0
2 years ago
Read 2 more answers
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