Answer:
Step-by-step explanation:
Fred bought 4 liters of liquid laundry detergent, 3,260 milliliters of fabric softener, and 2.5 liters of bleach.
We carry out conversion
Select true or false for each statement. Fred bought 76 milliliters more fabric softener than bleach. False Fred bought 1.75 liters more laundry detergent than bleach. False Fred bought 760 milliliters more fabric softener than bleach. False Fred bought 150 milliliters more laundry detergent than bleach. ? Fred bought 0.76 liters more fabric softener than bleach.
For the given vectors
and ![\vec{b}=b_{1}\hat{i}+b_{2}\hat{j}](https://tex.z-dn.net/?f=%20%5Cvec%7Bb%7D%3Db_%7B1%7D%5Chat%7Bi%7D%2Bb_%7B2%7D%5Chat%7Bj%7D%20)
The dot product of vectors a and b is defined as = ![\vec{a}.\vec{b}=(a_{1}\times b_{1}+a_{2} \times b_{2})](https://tex.z-dn.net/?f=%20%5Cvec%7Ba%7D.%5Cvec%7Bb%7D%3D%28a_%7B1%7D%5Ctimes%20b_%7B1%7D%2Ba_%7B2%7D%20%5Ctimes%20b_%7B2%7D%29%20)
So, ![\vec{a}.\vec{b} = (4\hat{i}+3\hat{j}). (-4\hat{i}+4\hat{j})](https://tex.z-dn.net/?f=%20%5Cvec%7Ba%7D.%5Cvec%7Bb%7D%20%3D%20%284%5Chat%7Bi%7D%2B3%5Chat%7Bj%7D%29.%20%28-4%5Chat%7Bi%7D%2B4%5Chat%7Bj%7D%29%20)
![\vec{a}.\vec{b}=(4\times(-4)+3 \times4)](https://tex.z-dn.net/?f=%20%5Cvec%7Ba%7D.%5Cvec%7Bb%7D%3D%284%5Ctimes%28-4%29%2B3%20%5Ctimes4%29%20)
= -16+12
= -4
Answer:
They used 3.14 for pi:
![V=\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
![V=\frac{4}{3} (3.14)(5)^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%283.14%29%285%29%5E3)
Step-by-step explanation:
is the volume of a sphere with radius r.
I think that is the diameter given in the picture.
The radius is half the diameter.
So the radius is 5 since the diameter is 10.
Plug in this gives you:
![V=\frac{4}{3} \pi (5)^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%285%29%5E3)
Answer:I think it's -23.72
Step-by-step explanation:Step 1: Reduce the fraction
Step 2: Multiply
Step 3: Calculate
step 4: solution