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svetoff [14.1K]
2 years ago
15

3- (2x - 5) < -4(x + 2)​

Mathematics
1 answer:
Whitepunk [10]2 years ago
4 0

Answer: x< -8

Step-by-step explanation:

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Please help me, I need an answer, thanks! :)
polet [3.4K]

Answer:

2t - 5 = -10

Step-by-step explanation:

add 5 to each side which leaves you with

2t=-5

then mulitply 5 and two and get t=10

3 0
3 years ago
Read 2 more answers
Find the area of the region which is inside the polar curve r=5sin(θ) but outside r=4. Round your answer to four decimal places
natka813 [3]

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be 3.75 square units.

<h3>What is an area bounded by the curve?</h3>

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be

Then the intersection point will be given as

\rm 5 \sin \theta  = 4\\\\\theta = 0.927 , 2.214

Then by the integration, we have

\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214}[ (5 \sin \theta)^2 - 4^2] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [25\sin ^2 \theta - 16] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [ \dfrac{25}{2}(1 - \cos 2\theta ) - 16] d\theta \\

\rightarrow \dfrac{1}{2} [\dfrac{25 \theta }{5} - \dfrac{25 \cos 2\theta }{2} - 16\theta]_{0.927}^{2.214} \\\\\\\rightarrow \dfrac{1}{2} [\dfrac{25(2.214 - 0.927) }{5} - \dfrac{25 (\cos 2\times 2.214 - \cos 2\times 0.927) }{2} - 16(2.214 - 0.927]\\

On solving, we have

\rightarrow \dfrac{1}{2} \times 7.499\\\\\rightarrow 3.75

Thus, the area of the region is 3.75 square units.

More about the area bounded by the curve link is given below.

brainly.com/question/24563834

#SPJ4

5 0
2 years ago
Which of the following describes how to calculate the total investment in a load fund?
suter [353]
To calculate the total investment in a load fund, B.) MULTIPLY THE NUMBER OF SHARES BY THE OFFER PRICE.

Load fund is a mutual fund. The term "load" is used to refer to a fund with commission. 

The commission is the difference of the net asset value and the offer price of the fund.


7 0
3 years ago
Read 2 more answers
Please help!!!!!! 50 points!!
lesantik [10]

Area of first rectangle= 5×2=10units

Area of second rectangle= 3×2= 6 units

Area of third rectangle = 5×2= 10 units

Now,

Total area of figure = 10+6+10= <u>26units✓</u>

8 0
3 years ago
Read 2 more answers
Plz some one look at this
aleksklad [387]
5 : - 1/6 = 0.167     out of 10 = 1.67  out of 100 = 16.7

even number  0.33 out of 10:-  3.3 out of 100:-  33

a prime number  0.5 out of 10: 5 and out of 100:- 50

multipl of 3:- 0/33  out of 10:- 3.3 and out of 100: 33
4 0
3 years ago
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