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2 years ago

7

on a scale drawing of a park, the sand box is 2 inches wide. The actual sand box is 8 feet wide. What is the scale of the drawin

g.

1 answer:

cricket20 [7]2 years ago

4 0

2 inches : 8 feet

simplified scale:

1 inch : 4 feet

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Three-fifths of the 30 days in june are sunny.how many days were sunny?

lara31 [8.8K]

3/5 x 30 days = 18 days were sunny.

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2 years ago

plain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = x2 − 2x x2 − 4 if x ≠ 2 1 if x =

ElenaW [278]

Answer with Step-by-step explanation:

We are given that

$f(x)=\left\{\begin{matrix}\dfrac{x^2-2x}{x^2-4}&,if\ \ x\neq 2 \\ 1&,if\ \ x=2\end{matrix}\right.$

We have to explain that why the function is discontinuous at x=2

We know that if function is continuous at x=a then LHL=RHL=f(a).

$f(x)=\frac{x(x-2)}{(x+2)(x-2)}=\frac{x}{x+2}$

LHL=Left hand limit when x <2

Substitute x=2-h

where h is small positive value >0

$\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2-h}{2-h+2}$

$\lim_{h\rightarrow 0}\frac{2-h}{4-h}=\frac{2}{4}=\frac{1}{2}$

Right hand limit =RHL when x> 2

Substitute

x=2+h

$\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2+h}{2+h+2}=\lim_{h\rightarrow 0}\frac{2+h}{4+h}$

$=\frac{2}{4}=\frac{1}{2}$

LHL=RHL= $\frac{1}{2}$

f(2)=1

$LHL=RHL\neq f(2)$

Hence, function is discontinuous at x=2

4 0

3 years ago

7,110 round to nearest thousand place

Valentin [98]

10 000

Anything greater than 5 rounds up

Hope this helps :)

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2 years ago

Read 2 more answers

tino4ka555 [31]

3. 16 months
60x=947
x=15.78333… = 16 months

4. 46 months
400x=18,091
x=45.2275 = 46

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9 months ago

If In(y - 40) = 5x, then y =

sasho [114]

If $\ln(y-40)=5x$ then $y=e^{5x}+40$ .

Hope this helps.

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2 years ago

Read 2 more answers