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3 years ago

The graph represents a function with the form f(x) = asin(bx + c).

Mathematics

2 answers:

m_a_m_a [10]3 years ago

4 0

Answer:

a=6, b=3, c=pi

Step-by-step explanation:

Got it right on edge

DanielleElmas [232]3 years ago

4 0

Answer:

B on edge

Step-by-step explanation:

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The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as

NISA [10]

$\bf \qquad \qquad \textit{joint compound proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with \underline{z}} \end{array}\implies y=\cfrac{kx}{z}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{W varies jointly as its width, squared heght and inversely with length}}{W=\cfrac{wh^2}{L}}$

$\bf \textit{now we also know that }~~ \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{3}\\ L=12\\ W=30 \end{cases}\implies 30=\cfrac{~~k\frac{1}{4}\left( \frac{1}{3} \right)^2~~}{12} \\\\\\ 360=\cfrac{k}{36}\implies 12960=k~\hfill \boxed{W=\cfrac{12960wh^2}{L}}$

$\bf \textit{when } \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{2}\\ L=12 \end{cases}\textit{ what is \underline{W}?}\qquad W=\cfrac{12960\left( \frac{1}{4} \right)\left(\frac{1}{2} \right)^2}{12} \\\\\\ W=1080\left( \cfrac{1}{4} \right)\left( \cfrac{1}{4} \right)\implies W=1080\cdot \cfrac{1}{16}\implies W=\cfrac{135}{2}\implies W=67\frac{1}{2}$

7 0

3 years ago

Question 16 not 15.

levacccp [35]

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$11x + 16 = (9x + 2) + 32$

$11x + 16 = 9x + 34$

Subtract sides 16

$11x + 16 - 16 = 9x + 34- 16$

Simplification

$11x = 9x + 18$

Subtract sides 9x

$- 9x + 11x = - 9x + 9x + 18$

Simplification

$2x = 18$

Divide sides by 2

$\frac{2x}{2} = \frac{18}{2} \\$

$x = 9$

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6 0

3 years ago

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Which ordered pair is a solution to the system?

lidiya [134]

(3,1)

Hope this helps :))

8 0

3 years ago

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Find the surface area of the rectangular prism.

Nataly_w [17]

Answer:

130 ft^2

Step-by-step explanation:

SA= surface area

SA= 2*l*w + 2*l*h + 2*w*h

l= length = 10

w= width =5

h = height = 1

SA= 2*l*w + 2*l*h + 2*w*h

SA= 2*10*5 +2*10*1+2*5*1

SA= 100+20+10

SA= 130 ft^2

4 0

4 years ago

83. A given circle has a

Llana [10]

Answer: the circles radius is 2

The equation for circumference of a circle is 2*pi*r
And the equation for the area of a circle is pi*r^2

The only way both of these equations can be true is if 2r(pi)=(pi)r^2
Or
2r=r^2

And when is the square of a number equal to two times the number? When the number is 2

So the radius must be 2

3 0

3 years ago