19. Solve the following inequality.

if the bacterial is doubling, that means the growth rate is 100%, or 100% plus whatever it was before, so

[tex]\textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=minutes\\ c=period\dotfill &30 \end{cases} \\\\\\ A=1500(1 + 1)^{\frac{t}{30}}\implies A=1500(2)^{\frac{t}{30}} \\\\\\ \stackrel{\textit{after two hours, or 120 minutes, t = 120}~\hfill }{A=1500(2)^{\frac{120}{30}}\implies A=1500(2)^4\implies A=24000}[/tex]

[tex]~\dotfill\\\\ \stackrel{\textit{current amount being 12000}}{12000=1500(2)^{\frac{t}{30}}}\implies \cfrac{12000}{1500}=(2)^{\frac{t}{30}}\implies 8=(2)^{\frac{t}{30}}\implies 8=\sqrt[30]{2^t} \\\\\\ 8^{30}=2^t\implies (2^3)^{30}=2^t\implies 2^{90}=2^t\implies 90=t[/tex]

Answer:

Besides the givens:

12.

AC = EC, BC = DC; Definition of Midpoint

<ACB = <ECD; Vertical Angles Theorem

Triangle ABC = Triangle EDC; SAS Congruence Postulate

13.

AD = CD; Definition of Median

BD = BD; Reflexive Property

Triangle ABD = Triangle CBD; SSS Postulate

Step-by-step explanation:

None necessary.

Answer:

9c² -30c + 25

Step-by-step explanation:

Perfect square trinomial: (a - b)² = a² - 2ab + b²

(3c - 5)²

(3c)² -2(3c * 5) + 5²

9c² -2(15c) + 5²

9c² -30c + 25

Final answer: 9c² -30c + 25

Hope this helps!

Hi!

Given:

[tex](3c-5)^2[/tex]

As this is squared, we are simply multiplying the given expression by itself, like so:

[tex](3c-5)(3c-5)[/tex]

Now, we can use the Distributive Property to solve, using the FOIL Method:

[tex](3c-5)(3c-5)[/tex]

[tex]9c^2-15c-15c+25[/tex]

Combine like terms:

[tex]9c^2-30c+25[/tex]

For a similar problem, see:

https://brainly.com/question/15639394

Area of the rectangle

Area of trapezoid

Total

Answer:

AAS

Step-by-step explanation:

the ansewer

Answer:

hy the answer is C. a car maintained constant speed

Answer:

c.A car maintained constant speed

Step-by-step explanation:

according to the graph,velociry is always in a straight line over time.

so the velocity is constant

so A car maintaned constant speed

Answer:

down shift 90

Step-by-step explanation:

-90 will shift the graph down 90 units

Answer:

Price of senior citizen ticket = $7

Price of student ticket = $5

Step-by-step explanation:

Let:

Equations formed :

Subtract : Equation 1 - Equation 2

Finding b

Solution

Answer:

Senior tickets would be 7 dollars

and

Student ticket prices would be 5 dollars

Step-by-step explanation:

Answer:

Hence, a fair dice has a probability of 16 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 16

Step-by-step explanation:

Answer:

6.28

Step-by-step explanation:

2×3.14 because this is just simple multiple

Answer:

21.5

Step-by-step explanation:

Median: List all numbers in order, then find the two in the middle and average them so 3 15 28 40 and then do 15+28=43 then divide by 2 = 21.5

Mean: Average all of them so 3+15+28+40=86 divided by 4 = 21.5

Correct option is C) A² - B² + BA – AB

Step-by-step explanation:

(A+B)(A−B)=A(A−B)+B(A−B).........because matrix product is distributive.

=A² + BA - AB - B²

And as matrix product is not commutative, so AB¦=¦BA

Hence option C is correct.

d. 32.6°

explanation:

tan(×)= 0.6396

tan(x)= 0.6396/1000

tan(×)= 1599/2500

(×)= arctan (1599/2500)

(×)≈ 0.569029 or 32.6°

Answer:

Step-by-step explanation:

[tex]\sqrt{g}[/tex] = 7-w

([tex]\sqrt{g}[/tex] )^2 = (7-w)^2

g = (7-w)^2

Answer: The 4th option= -1, -3

Step-by-step explanation: Here, if y = -1 and x = -3. The equation would be: (-1) + (-3)= -1 -3 = -4

Now we know that -4 is greater than -5.

Some may think that -4 is smaller than -5 nut remember that the numbers are in minus form, so if u put them in a number line, then -4 is greater than -5.

Thanks.

Answer:

This was a nice way to spend my time :) how'd I do?

Step-by-step explanation:

Total: 6

1. +8

After stop 1, total is 14 people

2. +4, -2

After stop 2, total is 16 people

3. +15, -4

After stop 3, the total is 27 people

4. -8

Total # of people on the bus: 19

(A little voice in the back of my mind is telling me that I overthought this entire problem, and that the answer is just 6)

To solve this problem, we need to factor both

 ⇒ numerator: [tex]x^2-4x+4[/tex]

 ⇒ denominator: [tex]x^2-4[/tex]

Let's factor:

 ⇒ [tex]x^2-4x+4=(x-2)(x-2)\\[/tex]

 ⇒ [tex]x^2-4=(x+2)(x-2)[/tex]

Let's put it back into the fraction:

[tex]\frac{x^2-4x+4}{x^2-4}=\frac{(x-2)(x-2)}{(x+2)(x-2)} =\frac{x-2}{x+2}*\frac{x-2}{x-2} =\frac{x-2}{x+2} *1=\frac{x-2}{x+2}[/tex]

Answer: Choice (3) or [tex]\frac{x-2}{x+2}[/tex]

Answer:

[tex]\frac{x-2}{x+2}[/tex]

Step-by-step explanation:

First, let's factor out the fraction into [tex]\frac{(x-2)^2}{(x+2)(x-2)}[/tex], now we can cancel out the [tex]x-2[/tex]. After we do that, our final answer is [tex]\frac{x-2}{x+2}[/tex].

Hope this helps! :)

Answer:

6.86cm^3

Step-by-step explanation:

In order to do this problem you must first find the volume of the cube and subtract the volume of the sphere within it.

Volume of a cube is S^3

using the given 3×3×3= 27cm^3 volume of cube

volume of a sphere is 4/3 pir^3

4/3 × pi x 1.5^3 = 14.14cm^3 volume of sphere

now simply subtract

27-14.14= 6.86 cm^3

Answer:

A. g(x)=(x+9)^2

Step-by-step explanation:

if it’s plus inside the parentheses it’s goes left and if it’s - it’s right

Hope this helps! ;-)

Answer:

-9x + 4y

Step-by-step explanation:

Adding expressions:

     Like terms have same variable with same power.Combine like terms.

Here, x and (-10x) are like terms &

         (-2y) and 6y are like terms

x - 2y + (-10x + 6y) = x - 2y - 10x + 6y

                              = x - 10x - 2y + 6y

                               = -9x + 4y

Answer:

i actually don't know

Step-by-step explanation:

[tex]x = 5 \\ y = 4 \\ m = \frac{1}{5} [/tex]

y= mx+b

[tex]4 = ( \frac{1}{5} \times( 5) )+ b \\ 4 = 1 + b \\ 4 - 1 = b \\ 3 = b \\ y = \frac{1}{5} x + 3[/tex]

Answer:

y = 1/5x + 3

Step-by-step explanation:

Answer:

9% sry if im wrong

Step-by-step explanation:

Kayla has some colored marbles that are the same size and shape. Use

the information below to determine which is closest to the probability

that Kayla will randomly select a marble that is not red, replace it, then

randomly select a marble that is yellow?

The probability of randomly selecting a red marble is 30%.

The probability of randomly selecting a yellow marble is 13%

Answer:

56

Step-by-step explanation:

If each child gets 2 sweets then we have to multiply the number of children by 2.

[tex]28 \times 2 = 56[/tex]

Answer:

30 sweets.

Add 28 and 2.

Answer:

13.64 cm²

Step-by-step explanation:

Area of Trapezoid :

Solving :

Answer:

13.64 square centimeters

Step-by-step explanation:

Hey there!

The formula to finding the area of a trapezoid is:

1/2 (p + q) h

Where h is the height, p is the shorter base and q is the longer base

In this case

p - 3.6

q - 5.2

h - 3.1

1/2 (3.6 + 5.2) 3.1

1/2 (8.8) 3.1

(4.4) 3.1 --> 4.4 x 3.1

13.64

So, the area of this trapezoid is 13.64 square centimeters