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Anuta_ua [19.1K]
3 years ago
5

Solve for the variable. The quotient of a number n divided by -4.5 equals 200.6.

Mathematics
1 answer:
solong [7]3 years ago
5 0

Answer:

-902.7

I hope this helps

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4x^2 - 24x + 7 = 3<br> I don't understand how to get to the final answer of <br> x= 3 ± 2sqrt2
sergey [27]
4x² - 24x +7-3 =0
4x² - 24x + 4=0 /:4
x² - 6x +1=0
Use formula

x =  \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} &#10;&#10;For our equation a=1, b= - 6, c = 1&#10;&#10;x=  (6+/- \sqrt{36-4)}/2 =  \frac{-6+/- \sqrt{32} }{2} =  \frac{-6+/- \sqrt{16*2} }{2} =  \frac{-6+/-4 \sqrt{2} }{2} &#10;&#10;= -3 +/- 2\sqrt{2} &#10;




8 0
3 years ago
A company makes cones out of solid foam. Each cone has a height of 9 inches, and its base has a diameter of 5 inches. How much f
Marrrta [24]

Answer:

0.375

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Distributive property of 224÷7
Tcecarenko [31]
224 
-----

=1/7 (224) 

=1/7(210 + 14)

=210        14
  -----    +  ------
   7              7

= 32 






3 0
4 years ago
Which of the following is the solution to the differential equation dP/dt+P=10 with the initial condition P(0)=4
Ber [7]

Answer:

  •    Option C.    P=10-6e^{-t}

Explanation:

<u>1. Separate variables:</u>

      \dfrac{dP}{dt}+P=10\\ \\ \\ \\\dfrac{dP}{dt}=-P+10\\ \\ \\ \dfrac{dP}{-P+10}=dt

<u></u>

<u>2. Find the indefinite integrals</u>

    -\ln{(10-P)}=t+C

<u></u>

<u>3. Solve for P</u>

      10-P=e^{-t+C}\\ \\ 10-P=Ke^{-t}\\ \\ P=10-Ke^{-t}

<u></u>

<u>4. Use the initial condition, P(0) = 4, to find K:</u>

  • 4 = 10 - K(e⁰)
  • 4 = 10 - K
  • K = 10 - 4
  • K = 6

<u></u>

<u>5. Substitute K = 6 into the integrated equation:</u>

       P=10-6e^{-t}

That is the option C.

4 0
3 years ago
Which number is a solution of the inequality? 3x – 7 &gt; – 1 A. 0 B. 2 C. 5
Softa [21]

Answer:

C. 5

Step-by-step explanation:

3x – 7 > – 1

Add 7 to each side

3x – 7+7 > – 1+7

3x> 6

Divide each side by 3

3x/3 >6/3

x >2

X must be greater than 2


5 0
4 years ago
Read 2 more answers
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