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2 years ago

If the number of bacteria in a colony doubles every 480 hours and there is currently a

Mathematics

2 answers:

HACTEHA [7]2 years ago

8 0

Answer:

800

Step-by-step explanation:

960 = 2 x 480, so the bacteria will double twice

200 x 2 x 2 = 800

White raven [17]2 years ago

4 0

<h2>800 bacteria is the correct answer</h2>

<h3>hope it helps you</h3>

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2x+4y=16 what is the slope intercept form

Eva8 [605]

Since slope intercept is y=mx+b, you first want to get rid of the 2x by subtracting it from both sides. after, you should end up with 4y=16-2x or 4y=-2x+16, they both are the same, but some teachers might prefer the slope first. after that, you want to get the y alone, so you divide everything by 4. you should end up with the slope intercept form being y=-2/4x+4, simplified to y=-1/2x+4.

3 0

2 years ago

Which statement below compares the decimals correctly? (3 points) A 0.63 < 0.48 B 0.48 = 0.63 C 0.63 > 0.48 D 0.48 > 0.

Bad White [126]

Answer:

$(c)\ 0.63 > 0.48$

Step-by-step explanation:

Given

$0.63$ and $0.48$

Required

Which compares them correctly

$(a)\ 0.63 < 0.48$

This is incorrect because 0.63 is greater

$(b)\ 0.48 = 0.63$

This is also incorrect because 0.63 is greater

$(c)\ 0.63 > 0.48$

This is also correct because 0.63 is greater

$(d)\ 0.48 > 0.63$

This is also incorrect because 0.63 is greater

7 0

2 years ago

20.) A=49.23 degrees, c=54.8Solve the right triangle. Express angles in decimal degrees.

vivado [14]

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

Explanation

Step 1

a) let

$\begin{gathered} A=49.23\text{ \degree} \\ c=54.8\text{ \degree} \end{gathered}$

b) b value

to find the measure of side b we can use cosine function

$\begin{gathered} cos\theta=\frac{adjacent\text{ side}}{hypotenuse} \\ replace \\ cos\text{ 49.23=}\frac{b}{54.8} \\ b=54.8*cos49.23 \\ b=35.78 \end{gathered}$

c) angle B

to find the measure of Angle B we can use sine function

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ replace \\ sin\text{ B=}\frac{35.78}{54.8} \\ sin\text{ B= 0.65}\Rightarrow inverse\text{ function to isolate B} \\ B=\sin^{-1}(0.65) \\ B=40.76 \end{gathered}$

d) side a

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ sin\text{ A=}\frac{a}{c}=\frac{\placeholder{⬚}}{\placeholder{⬚}} \\ sin\text{ 49.23=}\frac{a}{54.8} \\ multiply\text{ both sides by 54.8} \\ 54.8s\imaginaryI n\text{49.23=}\frac{a}{54.8}*54.8 \\ 41.50=a \end{gathered}$

so, the answer is

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

I hope this helps you