Answer:
The ounces of oil needed is 5 ounces of oil
Step-by-step explanation:
The first thing to do here is to calculate the volume of the lemon-scented candle given.
Looking at shape the volume can be calculated using the formula L * B * H
where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm
The volume V is thus = 10 * 8 * 25 = 2,000 cm^3
The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax
That will be = 0.0025 * 2,000 = 5 ounces
Answer:
x = 1
Step-by-step explanation:
It is given that,
∠A and ∠B are vertical angles.
∠A = (5x – 4) and ∠B = (2x – 1)
We need to find the value of x.
We know that, the vertical angles are equal. So,
∠A=∠B
(5x – 4)=(2x – 1)
Taking like terms together,
5x-2x = 4-1
3x=3
x = 1
So, the value of x is equal to 1.
Answer:
2(3x+2) is your answer because you factor out 2. The number 2 is a factor of both 6 and 4 (2*3=6 and 2*2=4).
Answer:
StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction
Step-by-step explanation:
Apparently you want to simplify ...
![\sqrt{\dfrac{72x^{16}}{50x^{36}}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cdfrac%7B72x%5E%7B16%7D%7D%7B50x%5E%7B36%7D%7D%7D)
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
1/a^b = a^-b
(a^b)^c = a^(bc)
__
So the expression simplifies as ...
![\sqrt{\dfrac{72x^{16}}{50x^{36}}}=\sqrt{\dfrac{36}{25x^{36-16}}}=\sqrt{\dfrac{36}{25x^{20}}}\\\\\sqrt{\left(\dfrac{6}{5x^{10}}\right)^2}=\boxed{\dfrac{6}{5x^{10}}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cdfrac%7B72x%5E%7B16%7D%7D%7B50x%5E%7B36%7D%7D%7D%3D%5Csqrt%7B%5Cdfrac%7B36%7D%7B25x%5E%7B36-16%7D%7D%7D%3D%5Csqrt%7B%5Cdfrac%7B36%7D%7B25x%5E%7B20%7D%7D%7D%5C%5C%5C%5C%5Csqrt%7B%5Cleft%28%5Cdfrac%7B6%7D%7B5x%5E%7B10%7D%7D%5Cright%29%5E2%7D%3D%5Cboxed%7B%5Cdfrac%7B6%7D%7B5x%5E%7B10%7D%7D%7D)
Answer:
Option 2
Step-by-step explanation:
Minimum value is going to be in the y part of our coordinate, so we can just look there. I went ahead and used a graphing calculator to make things easy.
Starting off with option 2, we can see the minimum is -10. And in option 4 we can see the smallest y value is -6.
Using a graphing calculator (I used desmos), we can graph these other functions and figure out their minimums.
Option 1's y minimum is -7, and Option 3's y minimum is -2.25.
Option 1: -7
Option 2: -10
Option 3: -2.25
Option 4: -6
The questions asks for the <em>smallest</em> minimum value, which in this case is option 2.