What is the difference in the low and high temperature?

Use the graph of y=sin2θ to find the value of sin 2θ for θ= pi/4 radians

aivan3 [116]

The graph of sin function is a curve as shown below:

Now, Sin 2Ф , where Ф = $\frac{ \pi } {4}$

or sin 2Ф = 2 × $\frac{ \pi } {4}$

or sin 2Ф = $\frac{ \pi } {2}$

Ans, sin π/2 = sin 180/2 = sin 90 = 1

Thus, the curve has maximum at 90.

4 0

4 years ago

Read 2 more answers

Solve –3x = 36 for x. A. x = 9 B. x = 12 C. x = –12 D. x = –9

lawyer [7]

Answer: C

Step-by-step explanation:

-3x=36

Divide -3 by both sides

x=-12

8 0

3 years ago

What value of b will cause the system to have an infinite number of solutions?

irga5000 [103]

b must be equal to -6 for infinitely many solutions for system of equations $y = 6x + b$ and $-3 x+\frac{1}{2} y=-3$

<u>Solution: </u>

Need to calculate value of b so that given system of equations have an infinite number of solutions

$\begin{array}{l}{y=6 x+b} \\\\ {-3 x+\frac{1}{2} y=-3}\end{array}$

Let us bring the equations in same form for sake of simplicity in comparison

$\begin{array}{l}{y=6 x+b} \\\\ {\Rightarrow-6 x+y-b=0 \Rightarrow (1)} \\\\ {\Rightarrow-3 x+\frac{1}{2} y=-3} \\\\ {\Rightarrow -6 x+y=-6} \\\\ {\Rightarrow -6 x+y+6=0 \Rightarrow(2)}\end{array}$

Now we have two equations

$\begin{array}{l}{-6 x+y-b=0\Rightarrow(1)} \\\\ {-6 x+y+6=0\Rightarrow(2)}\end{array}$

Let us first see what is requirement for system of equations have an infinite number of solutions

If $a_{1} x+b_{1} y+c_{1}=0$ and $a_{2} x+b_{2} y+c_{2}=0$ are two equation

$\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ then the given system of equation has no infinitely many solutions.

In our case,

$\begin{array}{l}{a_{1}=-6, \mathrm{b}_{1}=1 \text { and } c_{1}=-\mathrm{b}} \\\\ {a_{2}=-6, \mathrm{b}_{2}=1 \text { and } c_{2}=6} \\\\ {\frac{a_{1}}{a_{2}}=\frac{-6}{-6}=1} \\\\ {\frac{b_{1}}{b_{2}}=\frac{1}{1}=1} \\\\ {\frac{c_{1}}{c_{2}}=\frac{-b}{6}}\end{array}$

As for infinitely many solutions $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$

$\begin{array}{l}{\Rightarrow 1=1=\frac{-b}{6}} \\\\ {\Rightarrow6=-b} \\\\ {\Rightarrow b=-6}\end{array}$

Hence b must be equal to -6 for infinitely many solutions for system of equations $y = 6x + b$ and $-3 x+\frac{1}{2} y=-3$

8 0

3 years ago

A rectangular prism has a volume of 16cm^3 and a total surface area of 40cm^2. A similar prism has length 10 in., width 5 in. an

krok68 [10]

The volume is twice that of the cube of width, so the width of the original prism is
.. ∛(16 cm³/2) = 2 cm

Length = 4 cm
Width = 2 cm
Height = 2 cm

5 0

3 years ago

What is the solution set of {x|x<-3} intersection {x|x>5}?

ziro4ka [17]

There’s no solution because x is less than 3 there is no way is greater than 5.

Hope this helps!

8 0

3 years ago