Answer:
d=12
Step-by-step explanation:
15-d/4+2=1/2
15-d/6=1/2
2(15-d)=6
30-2d=6
30-6=2d
24=2d
d=12
![\bf \int [11\ ln\left( \sqrt[3]{x} \right)]dx\qquad \begin{cases} ln\left( \sqrt[3]{x} \right)\implies ln\left( x^{\frac{1}{3}} \right) \\ \quad \\ \frac{1}{3}ln(x) \end{cases}\qquad thus \\ \quad \\\\ \quad \\ \int [11\ ln\left( \sqrt[3]{x} \right)]dx\implies \int[11\cdot \frac{1}{3}ln(x)]dx\impliedby \textit{scalars to the left} \\ \quad \\ 11\cdot \frac{1}{3}\int[ln(x)]dx\implies \cfrac{11}{3}\int[ln(x)]dx](https://tex.z-dn.net/?f=%5Cbf%20%5Cint%20%5B11%5C%20ln%5Cleft%28%20%5Csqrt%5B3%5D%7Bx%7D%20%5Cright%29%5Ddx%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Aln%5Cleft%28%20%5Csqrt%5B3%5D%7Bx%7D%20%5Cright%29%5Cimplies%20ln%5Cleft%28%20x%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%5Cright%29%0A%5C%5C%20%5Cquad%20%5C%5C%0A%5Cfrac%7B1%7D%7B3%7Dln%28x%29%0A%5Cend%7Bcases%7D%5Cqquad%20thus%0A%5C%5C%20%5Cquad%20%5C%5C%5C%5C%20%5Cquad%20%5C%5C%0A%5Cint%20%5B11%5C%20ln%5Cleft%28%20%5Csqrt%5B3%5D%7Bx%7D%20%5Cright%29%5Ddx%5Cimplies%20%5Cint%5B11%5Ccdot%20%5Cfrac%7B1%7D%7B3%7Dln%28x%29%5Ddx%5Cimpliedby%20%5Ctextit%7Bscalars%20to%20the%20left%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0A11%5Ccdot%20%5Cfrac%7B1%7D%7B3%7D%5Cint%5Bln%28x%29%5Ddx%5Cimplies%20%5Ccfrac%7B11%7D%7B3%7D%5Cint%5Bln%28x%29%5Ddx)
and I'm pretty sure you know what that is
Answer:
4. x=120
5. x=65
9. x=150
10. x=45
Step-by-step explanation:
4. Half=180
There is already a 60, so you do 180-60=120. x=120.
5. This is a parallel line, so you determine the opposite angle of 115, which is 65. That just becomes the x. x=65
9. It is similar to #5, You look at the opposite side of 30 (15+15) which is 150. That just comes to the other side which is x=150.
10. A triangle has 180 degrees in total. 45 degrees is already given, and line j is 90 degrees which means a full line is 180. 180-90=90.
90+45=135
180-135=45
x=45
Hope this helped!
Answer:
k=-2
Step-by-step explanation:
-1*-2=2
-1*-2=20*-2=0
-1*-2=20*-2=02*-2=-4
-1*-2=20*-2=02*-2=-45*-2=10
Answer:
55 gallons, the initial quantity of water in the tank
Step-by-step explanation:
Y is defined as the amount of water in the tank. When X (the number of minutes spent draining) is zero, no water has left the tank. So, the Y-intercept is the initial amount of water in the tank, 55 gallons.
