Let's assume that bacteria triples every 15 minutes. If a culture begins with exactly 20 bacterial cells, how many bacterial cells will be present after 1 hour?

Answer:

answer=C

Step-by-step explanation:

number of elements in A=3

so, n=3

number of subsets=[tex]2^{n}[/tex], where n the number of elements in A.

=[tex]2^{3}[/tex]=8 subsets

the subsets of A are,

Ф,

{k},{e},{y},

{k,e},{k,y},{e,y},

{k,e,y}

Answer:

y=$2740

Step-by-step explanation:

y=18(150)+40

y=$2740

Answer:

[tex]f(300)=906[/tex]

Step-by-step explanation:

[tex]f(x)=3x+6\\\\f(300)=3(300)+6\\\\f(300)=900+6\\\\\boxed{f(300)=906}[/tex]

Hope this helps.

Answer:

42 ounces

Step-by-step explanation:

5 pounds is equal to 80 ounces

2 pounds is equal to 32 ounces

32+6=38 ounces gone

80-38=42

42 ounces is the total amount of candy left

Hi

Equation is : y= mx+p

With point (0;1) then p= 1

So : m*-4 +1 = 9

-4m = 8

m = 8 / -4

m = -2

Conclusion. Line equation is : y = -2x +1

Answer:

StartFraction part Over whole EndFraction = StartFraction 350 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 70 Over 20 EndFraction

Step-by-step explanation:

the answer I got right on edge 2021

Answer:

StartFraction part Over whole EndFraction = StartFraction 350 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 70 Over 20 EndFraction

Step-by-step explanation:

Answer: 61.25m

Step-by-step explanation:

To solve this, the formula used will be:

h = -16t^2 + vt + h(o)

where,

Initial velocity, v = 60mph

Height, h = 5 feet

t = ?

After solving for t, we get t = 1.875 seconds. We then slot it back into the equation.

h = -16t^2 + vt + h(o)

h = -16(1.875)^2 + 60(1.875) + 5

h = -56.25 + 1112.5 + 5

h = 61.25m

Check the attachment for better understanding.

Answer:

against the wind:

x - y = 715/(2+10/60)

---

with the wind:

x + y = 715/(1+50/60)

---

put the system of linear equations into standard form

---

x - y = 715/(2+10/60)

x + y = 715/(1+50/60)

---

x - y = 330

Step-by-step explanation:

Answer:

[tex]d=10.2[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(6-(-4))^2+(1-3)^2}[/tex]

[tex]d=\sqrt{(6+4)^2+(-2)^2}[/tex]

[tex]d=\sqrt{(10)^2+4}[/tex]

[tex]d=\sqrt{100+4}[/tex]

[tex]d=\sqrt{104}[/tex]

[tex]d=2\sqrt{26}[/tex]

[tex]d=10.198[/tex]

[tex]d=10.2[/tex]

Answer:

The constant of proportionality is for every 1 x, there is 0.25 y. y = 0.25, and on a graph, x is always the "1." Since x is worth 1, y must be worth 0.25.

Step-by-step explanation:

Answer:

29.3 gb

Step-by-step explanation:

i just subtracted it

Answer:

33.3gb

Step-by-step explanation:

68.76-35.46=33.3

Answer:

You have to include the table..

Answer:

36.36

Step-by-step explanation:

18.79 + 2.11 - 1.92 + 17.38

20.90 - 1.92 + 17.38

18.98 + 17.38

36.36

My first answer I didn't notice there was a subtraction sign.

Answer: 6.6375

Step-by-step explanation:

The 40% under is 100. And you have to multiply the $132.75 to x. and the 40 to 100.

Answer:

590.625

Step-by-step explanation:

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

Answer:

590.625

Step-by-step explanation:

To find the mean, add up all of the values then divide by the amount of values there are.

The total amount is 16 +16+ 41+ 64+ 1322+ 3230+ 16+ 20 = 4725

There are 8 total values so you divide by 8

590.625

Answer:

D, B

Step-by-step explanation:

The missing term are sin y and cos y , Option C and D is the correct answer.

Trigonometric Identities are the equations that are true for every variables .

To prove , sin( x+y) =  cos y sin x +cos x siny

cos ((π/2) - (x+y)) = sin (x+y)

cos ( x -  y) =  cos x cos y - sin x sin y

cos (( (π/2) - x) - y)

= cos ((π/2) -x) cos y + sin y sin ((π/2) - x)

= sin x cos y + sin y cos x

Therefore , the missing term are sin y and cos y , Option C and D is the correct answer.

The complete question is

Use the drop-down menus in the derivation of the sine sum identity:

sin( x+y) =  ____ sin x +cos x ___

To know more about Trigonometric Identities

https://brainly.com/question/25024376

#SPJ2

x = 3/4

Hi there !

5x - 2(x + 1) = 1/4

⁴⁾5x - ⁴⁾2x - ⁴⁾2 = 1/4

20x - 8x - 8 = 1

12x = 1  + 8

12x = 9 | : 3

4x = 3

x = 3/4

Good luck !

We know, equation of ellipse is given by :

[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex]

Here,

(h,k) is centre of the ellipse = (0,0).

a = major axis = 8.

b = minor axis = 4.

Putting all given value in above equation, we get :

[tex]\dfrac{(x-0)^2}{8^2}+\dfrac{(y-0)^2}{4^2}=1\\\\\dfrac{x^2}{8^2}+\dfrac{y^2}{4^2}=1\\\\\dfrac{x^2}{64}+\dfrac{y^2}{16}=1[/tex]

Hence, this is the required solution.

Answer:

i dont either:)

Step-by-step explanation:

Answer:

The air balloon descends 26.5 feet per minute

Step-by-step explanation:

Rate of Change

The rate of change is a measure that compares two quantities, usually to know how one variable changes in time.

The hot air balloon was 4,064 feet high and, 28 minutes later, it went to 3,322 feet. We can calculate the rate of descent R by dividing the change of elevation over time:

[tex]\displaystyle R=\frac{3,322-4,064}{28}=\frac{-742}{28}=-26.5[/tex]

Thus the air balloon descends 26.5 feet per minute

Answer:

y = -4X + 8

Step-by-step explanation:

Take each point and substitute for x and y. If (x,y) then 4 = -4(1) + 8 is true and -4 = -4(3) + 8. Both points satisfy the equation therfore the line passes through both points.

Answer:

y = -4 x + 8

which agrees with the first answer in the list.

Step-by-step explanation:

We first calculate the slope via the quotient formula:

Slope = (y2 - y1) / (x2 - x1)

which for our case gives:

Slope = (4 - -4) / (1 - 3) = 8 / (-2) = -4

The we calculate the y intercept by using any one of the given points (for example (1, 4)) in the general formula of a line in slope-intercept form:

y = m x + b

y = -4 x + b

4 = -4 (1) +b

4 = -4 + b

b = 4 + 4

b = 8

Then the final expression for the line becomes:

y = -4 x + 8

Answer:

108

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees (flat angle). So 180-72 = 108

Answer:

are those the only options given? cause I think x=9.

Step-by-step explanation:

Step 1: Subtract 7x from both sides.

5x+15−7x=7x−3−7x

−2x+15=−3

Step 2: Subtract 15 from both sides.

−2x+15−15=−3−15

−2x=−18

Step 3: Divide both sides by -2.

−2x−2=−18−2

x=9

Answer:

x=9

Answer:

8/27

Step-by-step explanation:

do 2(the numerator) to the third power and then do 3 (the dominator) to the third power

Answer:

c) 119.38 cm

Step-by-step explanation:

Answer:

1st one is true 2nd one is false 3d one is false 4th one is false 5th one is true

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes; In every column the ratio cost to weight is equivalent to the unit rate of $3.50 per pound.