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3 years ago

12

Strep throat is caused by Streptococcus bacteria. The amount of bacteria multiplies at a rate of 10^13 per 10^2 hours. What is t

he total amount of bacteria present after 10^3 hours. Show work.

1 answer:

Lyrx [107]3 years ago

5 0

Multiplication rate is 10¹³/100=10¹¹ per hour.
After 1000 hours there are 10¹¹×1000=10¹⁴

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Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te

motikmotik

Given:

There are given that the cos function:

$cos210^{\circ}=-\frac{\sqrt{3}}{2}$

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

$cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}$

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

$\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}$

Then,

Put the value of cos210 degrees into the above function:

So,

$\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}$

Final answer:

Hence, the value of the cos(105) is shown below:

$cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}$

4 0

1 year ago

7y^2+15x-22. Y=4. ×=5

Nutka1998 [239]

let's plug the value of x and y as 5 and 4 respectively to find the value of given expression :

$7 {y}^{2} + 15x - 22$

$7(4) {}^{2} + (15 \times 5) - 22$

$(7 \times 16) + 75 - 22$

$112 + 53$

$165$

3 0

3 years ago

I need help on thi and the first person who answer correctly gets a BRANLIST and show work

const2013 [10]

Answer:

w<6 THE SMALL LINE UNDER THE LESS THAN SIGN IS STILL THERE I JUST CANNOT ADD IT

Step-by-step explanation:

first solve the equation to the right.

-3(2w+1) = -6w-3

now solve the whole equation

-33-w< -6w-3

-w+6w < -3+33

5w < 30

divide the 5 from both sides to simplify

5/5w < 30/5

w < 6

THE ANSWER IS w < 6

3 0

3 years ago

What is the value of <br> 6x²+4x+8 when x =7

Ann [662]

Answer:

330

Step-by-step explanation:

6x²+4x+8

Let x=7

6 ( 7)^2 + 4(7) +8

6*49+ 28+8

294+28+8

330

8 0

3 years ago

My brother is 5 years older than me. My sister is 3 years younger than me. a How old will my sister be when I am 17?

pentagon [3]

I think the answer is 14

8 0

3 years ago