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dlinn [17]
3 years ago
9

Your monthly bill went frm 57.98 to 62.49 whats the percent change

Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0
D is your answer for your question
You might be interested in
How many 3/4s are in 6
Pepsi [2]
Hey there!
Let's first find an easier situation.
If we're saying:
How many fives are in ten?
We're doing 10 divided by 5, because we're seeing how many 5's go into 10.
It's no different here.
We will be doing 6 divided by 3/4, just as we did with our simpler situation.
Using our "keep, switch, flip" rule (keep first term, change to multiplication, take reciprocal of second term)
we get:
6 divided by 3/4
=
6 * 4/3
= 24/3
= 8 3/4's in 6.

Hope this helps!
7 0
3 years ago
I need help putting correct answers in the yellow boxes.
olasank [31]

Answer:

<u>-5 ± √5² - 4 · 1 · 4</u>

         2 · 1

Step-by-step explanation:

ax²+bx+c=0 (quadratic equation)

x=<u> -b ± √b² - 4ac</u>

           2a

a= 1

b= 5

c= 4

-<u>5 ± √5² - 4 · 1 · 4</u>

            2 · 1

7 0
2 years ago
Ardem collected data from a class survey. He then randomly selected samples of five responses to generate four samples.
scoundrel [369]

Solution: The sample mean of sample 1 is:

\bar{x}=\frac{4+5+2+4+3}{5}= \frac{18}{5}=3.6

The sample mean of sample 2 is:

\bar{x}=\frac{2+2+6+5+7}{5}= \frac{22}{5}=4.4

The sample mean of sample 3 is:

\bar{x}=\frac{4+6+3+4+1}{5}= \frac{18}{5}=3.6

The sample mean of sample 4 is:

\bar{x}=\frac{5+2+4+3+6}{5}= \frac{20}{5}=4

The minimum sample mean of the four sample means is 3.6 and maximum sample mean of the four sample means is 4.4.

Therefore, using  his four samples, between 3.6 and 4.4 will Ardem's actual population mean lie.

Hence the option 3.6 and 4.4 is correct

6 0
3 years ago
Read 2 more answers
A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t
11Alexandr11 [23.1K]

Answer:

  • <u>Question 1:</u>      dm/dt=0.2m<u />

<u />

  • <u>Question 2:</u>     m=Ae^{(0.2t)}<u />

<u />

  • <u>Question 3:</u>      m=10e^{(0.2t)}<u />

<u />

  • <u>Question 4:</u>      m=10g<u />

Explanation:

<u>Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m</u>

<u></u>

a) By definition:  m'=dm/dt

b)  Given:  rate=0.2m

c) By substitution:  dm/dt=0.2m

<u>Question 2: Find the general solution of this equation. Use A as a constant of integration.</u>

a) <u>Separate variables</u>

     dm/m=0.2dt

b)<u> Integrate</u>

           \int dm/m=\int 0.2dt

            ln(m)=0.2t+C

c) <u>Antilogarithm</u>

       m=e^{0.2t+C}

       m=e^{0.2t}\cdot e^C

         e^C=A\\\\m=Ae^{(0.2t)}

<u>Question 3. Which particular solution matches the additional information?</u>

<u></u>

Use the measured rate of 4 grams per hour after 3 hours

            t=3hours,dm/dt=4g/h

First, find the mass at t = 3 hours

            dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g

Now substitute in the general solution of the differential equation, to find A:

          m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976

Round A to 1 significant figure:

  • A = 10.

<u>Particular solution:</u>

           

             m=10e^{(0.2t)}

<u>Question 4. What was the mass of the bacteria at time =0?</u>

Substitute t = 0 in the equation of the particular solution:

         m=10e^{0}\\\\m=10g

3 0
3 years ago
6+3×(13−2)−5^2<br><br> whoever answers first will get branliest and will get 50 points
KiRa [710]

Answer:

14

Step-by-step explanation:

8 0
3 years ago
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