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balu736 [363]
3 years ago
7

Which is the solution set of the compound inequality 3.5 x minus 10 greater-than negative 3 and 8 x minus 9 less-than 39

Mathematics
1 answer:
den301095 [7]3 years ago
4 0

Answer:

2 less-than x less-than 3 and three-quartersStep-by-step explanation:

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Vesna [10]
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\displaystyle\pi\int_2^5\left(6^2-\left(\frac43x-\frac23\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(20+x-x^2)\,\mathrm dx=\boxed{56\pi}

  • About the y-axis (shell method):

\displaystyle2\pi\int_2^5x\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5x(5-x)\,\mathrm dx=\boxed{36\pi}

  • About x=7 (shell method):

\displaystyle2\pi\int_2^5(7-x)\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5(35-12x+x^2)\,\mathrm dx=\boxed{48\pi}

  • About y=2 (washer method):

\displaystyle\pi\int_2^5\left((6-2)^2-\left(\frac43x-\frac23-2\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(5+4x-x^2)\,\mathrm dx=\boxed{32\pi}

7 0
4 years ago
A computer simulation tossed a 10 faced die 5 times. How many possible outcomes
bulgar [2K]

Answer:

50

Step-by-step explanation:

10x5=50

8 0
3 years ago
3. A prescription for an ointment has 3.5 mL of liquid menthol in a total of 220 mL. Calculate the percentage (v/v) of liquid me
Marina CMI [18]

Answer:

The percentage (V/V) of liquid menthol in the ointment is 1.59%.    

Step-by-step explanation:

Given : A prescription for an ointment has 3.5 mL of liquid menthol in a total of 220 mL.

To find : Calculate the percentage (V/V) of liquid menthol in the ointment ?

Solution :

Volume of liquid menthol is V_m= 3.5\ mL

Total volume of ointment is V_t= 220\ mL

The V/V percentage is given by,

\frac{V}{V}\%=\frac{V_m}{V_t}\times 100

\frac{V}{V}\%=\frac{3.5}{220}\times 100

\frac{V}{V}\%=0.0159\times 100

\frac{V}{V}\%=1.59\%

Therefore, the percentage (V/V) of liquid menthol in the ointment is 1.59%.

8 0
3 years ago
PLEASE HELP ASAP! THIS IS TIMED! WILL MARK BRAINLIEST IF ANSWER IS CORRECT!
IgorC [24]

Answer:

C

Step-by-step explanation:

A compound interest will make much more money in the long term than simple interest. Moreover the name compound gives you the answer already.

Have a great day <3

8 0
3 years ago
jack has no more than $24 to spend on DVD's for a party. Each DVD rents for $4. Find the maximum number of DVD's jack can rent f
skelet666 [1.2K]
Assuming he spends all the $24 on renting DVD's we can simply divide the money he has available with the price of each DVD in order to know how many he can buy.

$24/$4 = 6

Jack can rent a maximum of 6 DVD's
4 0
3 years ago
Read 2 more answers
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