Answer:
-3
Step-by-step explanation:
The main formula for slope intercept form is y=mx+b
m=slope
b=y-intercept
Answer: $898.75
Step-by-step explanation:
A summer job has a salary of $500 per month added to a commission of $2.75 on every item sold. The amount made by a person after selling 145 items last month will be the fixed amount added to the multiplication of the amount sold and the commission on every item. Mathematically, this will be:
$500 + ($2.75 × 145)
= $500 + $398.75
= $898.75
The options given aren't correct. The total amount made should be $898.75
Answer with explanation:
The equation of two curves are
y=8 sin x
y=8 cos x
The point of intersection of two curves are
→8 sin x=8 cos x
sinx = cos x
![x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%5Cpi%7D%7B4%7D%5C%5C%5C%5Cy%3D8%5Csin%5Cfrac%7B%5Cpi%7D%7B4%7D%5C%5C%5C%5Cy%3D4%5Csqrt%7B2%7D)
When you will look between points , 0 and
,the curve obtained is right angled triangle.
Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.
Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to
.
Required volume of solid obtained
![=\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}](https://tex.z-dn.net/?f=%3D%5Cint%5Climits%5E%7B%5Cfrac%7B%5Cpi%7D%7B4%7D%7D_0%20%7B8%20%5Csin%20x%7D%20%5C%2C%20dx%20%5C%5C%5C%5C%3D%7C-8%5Ccos%20x%7C%5Cleft%20%5C%7B%20%7B%7Bx%3D%5Cfrac%7B%5Cpi%7D%7B4%7D%7D%7D%20%5Catop%20%7Bx%3D0%7D%7D%20%5Cright.%5C%5C%5C%5C%3D8-4%5Csqrt%7B2%7D)
=8-4√2 cubic units
The answer is 16 bc yeah i said it was
Answer:
-8b-11w+10
Step-by-step explanation:
The first term has a variable b
The second term has a variable w
The third term is a constant
They cannot be combined