All categories

2 years ago

At some moment in time, a culture of bacteria contains 100 bacteria. After one hour, there are 300

Mathematics

1 answer:

LenKa [72]2 years ago

8 0

Answer:

i think its a if im wrong im sorry

Step-by-step explanation:

You might be interested in

If cos x=8/17, and 270° < x < 360°<br> what is cos(2x)?

svp [43]

Answer: $\bold{-\dfrac{161}{289}}$

<u>Step-by-step explanation:</u>

Given: cos x = $\dfrac{8}{17}$ , x is in Quadrant 4

Use Pythagorean Theorem to find sin x:

8² + y² = 17²

y² = 17² - 8²

y² = 289 - 64

y² = 225

y = 15

→ sin x = $-\dfrac{15}{17}$

Use the double angle formula to find cos (2x):

$cos (2x) = cos^2 x - sin^2 x\\\\.\qquad=\bigg(\dfrac{8}{17}\bigg)^2-\bigg(-\dfrac{15}{17}\bigg)^2\\\\\\.\qquad=\dfrac{64}{289}-\dfrac{225}{289}\\\\\\.\qquad=-\dfrac{161}{289}$

8 0

3 years ago

Read 2 more answers

What is the equation of the straight line that passes through (2,1) (5,7)

VMariaS [17]

Answer:

y = 2x - 3

Step-by-step explanation:

We are asked to find the equation of a straight line

Step 1: find the slope

( 2 , 1) ( 5 , 7)

x_1 = 2

y_1 = 1

x_2 = 5

y_2 = 7

Insert the values into the equation

m = (y_2 - y_1 )/ (x_2 - x _1)

m = (7 - 1 )/ (5 - 2)

m = 6/3

= 2

Step 2: substitute m into the equation

y = mx + c

y = 2x + c

Step 3 : sub any of the two points given into the equation

Let's use ( 2, 1)

x = 2

y = 1

y = 2x + c.

1 = 2(2) + c

1 = 4 + c

c = 1 - 4

c = -3

Step 4: sub c into the equation

y = 2x + c

y = 2x - 3

7 0

3 years ago

Which equation involves a prime quadratic and cannot be solved by factoring? A. x2 + 5x − 4 = 0 B. x2 − x − 6 = 0 C. x2 + 3x − 4

Damm [24]

Answer:

Option A

Step-by-step explanation:

We can try to factorize all the options one by one.

For A:

$x^{2} +5x-4\\=> x^{2}+4x+x-4\\=>x(x+4)+1(x-4)$

We can see that the quadratic expression cannot be solved by factorization as the factors at the end of factorization are not equal in both brackets. So Option A is the correct answer for the given question.

Moreover we can also note that all the other quadratic expressions can be factorized ..

8 0

3 years ago

Graph the ellipse with equation x^2 /25 + y^2 /4 = 1.

nexus9112 [7]

Center: 0,0
vertex: 5,0
vertex2 (-5,0)

4 0

3 years ago

rancho middle school has an average of 23/3/8 students per teacher. write this mixed number as a decimal

Len [333]

Rancho middle school has an average of 23 3/8 students per teacher.write this mixed number as a decimal.

Answer: