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k0ka [10]
3 years ago
13

Simplify this expression (m5n5)1/6/3(mn)-1/6

Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0
The answer is 1/6 x (25/3m^2n^2-1)
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Which equation(s) have x = –3 as the solution? log3(2x + 15) = 2 log5(8x + 9) = 2 log4(–20x + 4) = 3 logx81 = 4
baherus [9]

Answer:

log_3(2x+15)=2  and log_4(-20x+4)=3

Step-by-step explanation:

Plug it in and see!

log_3(2x+15)=2\\log_3(2(-3)+15)=2\\log_3(-6+15)=2\\log_3(9)=2\\\text{ This is a true equation because } 3^2=9\\\\\\log_5(8(-3)+9)=2\\log_5(-24+9)=2\\log_5(-15)=2\\\\\text{ Not true because you cannot do log of a negative number }\\\\log_4(-20(-3)+4)=3\\log_4(64)=3\\\text{ this is true because } 4^3=64\\\\\\log_x (81)=4\\log_{-3}(81)=4\\\text{ the base cannot be negative }\\\\\\\\\text{ There is only two options here} \\\\log_3(2x+15)=2 \text{ and } log_4(-20x+4)=3

6 0
3 years ago
Read 2 more answers
Consider a prism with a height of 8 inches and a 14-inch by 14-inch square base, and a cylinder with a height of 10 inches and a
vekshin1

Answer:

782.5inch³

Step-by-step explanation:

<u>The question is on volume of a prism and that of a cylinder</u>

<u>Finding the volume of the prism</u>

V=Bh where B is the base area and h is the height

Base area=14"×14"=196 inch²

height =8"

v=196×8= 1568 in³

<u>Finding volume of the cylinder</u>

v=\pir²h where r is the radius of cylinder and h is the height of cylinder

r=10/2=5 inches and h=10 inches

v=3.142×5×5×10=785.5inch³

<u>The difference in volume</u>

Difference in volume=1568-785.5=782.5inch³

5 0
3 years ago
Grade 10 math help please. Please show work
masha68 [24]

Answer:

43.94?

Step-by-step explanation:

I think if you use inverse cos you should get the correct number. So, to find cos, you need to know the adjacent side and the hypotenuse. Here, the reference angle would be the person holding the kite. The distance from the person to the barn is the adjacent side, which is 18. The string of the kite, I assume, would be 25.

cos(∅) = \frac{18}{25}

cos(∅) = 0.72

cos⁻¹(0.72) = 43.94

I don't know if that's what you're looking for, but... If it's not correct, lmk so I can rewrite it. :)

4 0
3 years ago
Devin is on his school's swim team. During his 2-week winter break, he swims 30 laps each week to stay in shape. If each lap is
tamaranim1 [39]

I think... 1500

Step-by-step explanation:

multiply 30 and 25 then times 750 as your answer by 2 to get 1500

7 0
3 years ago
Which function represents g(x), a reflection of f(x) = 4<br> () across the x-axis?
zmey [24]

C

Step-by-step explanation:

Just got it right

5 0
3 years ago
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