A crystal growth furnace is used in research to determine how bestto manufacture crystals used in electronic components for the spaceshuttle. For proper growth of the crystal, the temperature must be controlled accurately by adjusting the input power. Suppose the relationship is given by: T(w)=0.1w^2 +2.155w+20 where T is the temperature in degress celcius and w is the powerinput in watts. a. How much power is needed to maintain the temperature at200 degrees celcius? b. If the temperature is allowed to vary from 200 degrees celciusby up to +-1 degree, what range of wattage is allowed for theinput power?

Find the volume V of the described solid S
A cap of a sphere with radius r and height h.
V=??

Whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) ${\displaystyle f\left(x\right)=-3x^2+7}$

c) $f(x)=\frac{x+1}{x+2}$
${\displaystyle d)f\left(x\right)=x^5+1}$

In how many different orders can five runners finish a race if no ties are allowed???

State which of the following are linear functions?
a. $f(x)=3$
b. $g(x)=5-2x$
c. ${\displaystyle h\left(x\right)=\frac{2}{x}+3}$
d. $t(x)=5(x-2)$

Three ounces of cinnamon costs $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

A square is also a
A)Rhombus;
B)Parallelogram;
C)Kite;
D)none of these

What is the order of the numbers from least to greatest.
${\displaystyle A=1.5\times {10}^3}$,
${\displaystyle B=1.4\times {10}^{-1}}$,
${\displaystyle C=2\times {10}^3}$,
${\displaystyle D=1.4\times {10}^{-2}}$

Write the numerical value of ${\displaystyle 1.75\times {10}^{-3}}$

Solve for y. 2y - 3 = 9
A)5;
B)4;
C)6;
D)3

How to graph ${\displaystyle y=\frac{1}{2}x-1}$?

How to graph ${\displaystyle y=2x+1}$ using a table?

simplify ${\displaystyle \sqrt{257}}$

How to find the vertex of the parabola by completing the square ${\displaystyle x^2-6x+8=y}$?

There are 60 minutes in an hour. How many minutes are there in a day (24 hours)?

Write 18 thousand in scientific notation.