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3 years ago

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The gestation period of humans (266 days) is___ percent longer than the gestation period of pigs(115 days).

1 answer:

bija089 [108]3 years ago

5 0

If we take 115 to be the 100%, how much is 266 off of it then?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
115&100\\
266&p
\end{array}\implies \cfrac{115}{266}=\cfrac{100}{p}\implies p=\cfrac{266\cdot 100}{115}
\\\\\\
p\approx 231.3$

so 266 is about 231% of 115, which is 131% more than 115.

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Answer:

Option C is correct

Step-by-step explanation:

Given: A plane is descending onto the runway with an angle of depression of 55°. Also, it has 2.8 miles to go before landing.

To find: current altitude of the plane

Solution:

Consider the attached image.

In ΔABC,

$\angle ACB=55^{\circ}$ (Alternate interior angles)

For any angle $\theta$ ,

$tan \theta$ = side opposite to angle/side adjacent to angle

$\tan C=\frac{AB}{BC}$

Put $\angle C=55^{\circ}\,,\,BC=2.8\,\,miles$

$AB=2.8\,\tan 55^{\circ}=3.999\approx 4\,\,miles$

So, the current altitude of the plane is 4 miles.

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Answer:

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Y= -10 + 29x

Step-by-step explanation:

2(10- 24x)+ 2y 2(10- 24x)+ 2y

20 - 48x +2y 20 - 48x +2y

48x =20 +2y -2y = 20- 48x

/48 /48 /48 /-2 /-2 /-2

x= 5/12 + 1/24y y= -10 +29x

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For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions.

Rufina [12.5K]

Answer:

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Step-by-step explanation:

It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.

It is required to find $(f \circ g)(x)$ and $(g \circ f)(x)$ .

To find $(f \circ g)(x)$ , substitute g(x) for x in f(x) and simplify the expression.

To find $(g \circ f)(x)$ , substitute f(x) for x in g(x) and simplify the expression.

Step 1 of 2

Substitute g(x) for x in f(x) and simplify the expression.

$\begin{aligned}&(f \circ g)(x)=f(5-6 x) \\&(f \circ g)(x)=3(5-6 x)+2 \\&(f \circ g)(x)=15-18 x+2 \\&(f \circ g)(x)=17-18 x\end{aligned}$

Step 2 of 2

Substitute f(x) for x in g(x) and simplify the expression.

$\begin{aligned}&(g \circ f)(x)=g(3 x+2) \\&(g \circ f)(x)=5-6(3 x+2) \\&(g \circ f)(x)=5-18 x-12 \\&(g \circ f)(x)=-7-18 x\end{aligned}$

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