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choli [55]
3 years ago
7

What is 39.4 in words?

Mathematics
2 answers:
trasher [3.6K]3 years ago
6 0
In words it would be said Thirty nine point four
guapka [62]3 years ago
3 0
Thirty-nine and 4 tenths
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What is the perimeter of a triangle with side lengths of 9, 12, and 4x?
ludmilkaskok [199]
The answer is 21 + 4x.


You find this answer by adding up all the sides.
9+12+4x= 21+4x ... you don't add 4x because it has a variable that we do not know of the value.
3 0
3 years ago
9) Write an inequality to represent the statement:
Karo-lina-s [1.5K]

Answer:

x + 65 <u>< </u>108

Step-by-step explanation:

8 0
3 years ago
4. Use graphing technology to approximate the solutions of the equation x? + 2x – 1 = x + 2 + 2 + the nearest tenth.​
BlackZzzverrR [31]

I'm sorry I don't really know but my guess is 2

5 0
3 years ago
What is the midline of this function? y=    
Sergeeva-Olga [200]

Answers:

  • Midline:  y = 0
  • Amplitude = 1.5
  • Function:  g(x) = 1.5sin(0.5x + pi/4)

There are infinitely many possible ways to answer the third part.

===========================================================

Explanation:

The midline is the horizontal line that goes through the center of the sine curve. Visually we can see that is y = 0. Another way we can see this is to note how y = 0 is the midpoint of y = 1.5 and y = -1.5, which are the max and min respectively.

---------

The amplitude is the vertical distance from y = 0 to y = 1.5, and it's also the vertical distance from y = 0 to y = -1.5; in short, it's the vertical distance from center to either the peak or valley.

---------

The general format of a sine curve is

y = A*sin(B(x-C)) + D

where,

  • |A| = amplitude
  • B = variable tied with the period T, specifically B = 2pi/T
  • C = handles the left and right phase shift
  • D = handles the vertical shifting, and y = D is the midline.

In this case, we found so far that

  • |A| = 1.5 which could lead to A = 1.5
  • B = 2pi/(4pi) = 0.5 since T = 4pi is the period
  • D = 0

The only thing we're missing is the value of C, which is the phase shift.

Note the point (pi/2, 1.5) is one of the max points on this curve. Also, recall that sin(x) maxes out at 1 when x = pi/2

This must mean that the stuff inside the sine, the B(x-C) portion, must be equal to pi/2 in order to lead sin(B(x-C)) = 1.

So,

B(x-C) = pi/2

0.5(pi/2-C) = pi/2

pi/4 - C/2 = pi/2

4*( pi/4 - C/2 ) = 4*(pi/2)

pi - 2C = 2pi

-2C = 2pi - pi

-2C = pi

C = pi/(-2)

C = -pi/2

This allows us to update the function to get g(x) = 1.5*sin(0.5(x+pi/2)) which is the same as g(x) = 1.5sin(0.5x + pi/4)

This is one possible answer because we could have infinitely many possible values for C, due to sin(x) = 1 having infinitely many solutions.

Also, you could use cosine instead of sine. Cosine is just a phase shifted version and of sine, and vice versa.

7 0
2 years ago
 The weight W of an object varies inversely as the square of the distance d from the center of the earth. At sea level​ (3978 mi
eimsori [14]
\bf \begin{array}{llllll}&#10;\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\&#10;\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\&#10;y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}&#10;\\&#10;&&y=\cfrac{{{  k}}}{x}&#10;\end{array}

with "k" being the "constant of variation"

so. hmm in this case is "w" inversely varying to the square of the distance or d²

thus   \bf w=\cfrac{k}{d^2}\qquad &#10;\begin{cases}&#10;d=3978\\&#10;w=129&#10;\end{cases}\implies 129=\cfrac{k}{3978^2}

solve for "k", to see what the constant of variation is

and plug it back in \bf w=\cfrac{k}{d^2}

now.. .to find her weight when she's 144miles above the surface, well
that's just \bf w=\cfrac{k}{(3978+144)^2}

and since you already know what "k" is, just divide and simplify away, to get "w"

7 0
3 years ago
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