Please help. I dont understand a thing. lol

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]

The probability that the guest chooses one of each type of soda will be 8.03%.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are Ambrase, 30% are Butonic, 15% are Colana, and 35% are Dynamite.

A party guest randomly chooses four cans of soda.

Then the probability that the guest chooses one of each type of soda will be

Let the total number of the soda can will be 100. Then we have

Ambrase = 20

Butonic = 30

Colana = 15

Dynamite = 35

[tex]\rm P = \dfrac{^{20}C_1 \times ^{30}C_1\times ^{15}C_1\times ^{35}C_1}{^{100}C_4}\\\\\\P =\dfrac{20 \times 30 \times 15 \times 35}{3921225}\\\\\\P = \dfrac{600}{7469}\\\\\\P = 0.08033\\\\\\P = 8.03\%[/tex]

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Answer:

See below

Step-by-step explanation:

Let the length of the room = L = 12m

width of the room = b = 8m

Height of the room = h = 4m

• Area of the four walls of the room = Perimeter of the base x Height of the room.

[tex] = 2(l + b) \times h = 2(12 + 8) \times 4[/tex]

[tex] = 2 \times 20 \times 4 = 160 {m}^{2} [/tex]

Hence , the total cost of white washing four walls of the room ;-

Cost of white washing the ceiling.

So , the total cost of white washing ;

Hope this helps you :)

#Carry on learning# :) ..

Answer:

24 cookies increased by 25% is 30 cookies

step by step explination:

If you want to increase a number by a certain percentage, follow these steps:

1. Divide the number you wish to increase by 100 to find 1% of it.

2. Multiply 1% by your chosen percentage.

3. Add this number to your original number.

4. There you go, you have just added a percentage increase to a number!

Answer:

Answer is 41 ft

Step-by-step explanation:

From the right angled triangle above, two sides are known. That is the adjacent and opposite. The hypotenuse is not known so we represent it with a variable say h

Using Pythagora's theorem we have,

[tex] {h}^{2} = {12}^{2} + {12}^{2} \\ {h}^{2} = 144 + 144 \\ {h}^{2} = 288 \\ h = \sqrt{288} \\ h = 12 \sqrt{2} [/tex]

Having found the value of the third side, the perimeter of the triangle can now be determined by summing up the length of all the sides.

[tex]perimeter = adjacent + opposite + hypotenuse \\ p = 12 + 12 + 12 \sqrt{2} \\ p = 24 + 12 \sqrt{2} \\ p = 40.97 \\ to \: the \: nearest \: whole \: number \\ p = 41 \: ft[/tex]

Therefore the perimeter of the triangle is 41 ft.

Answer:

is the answer 2 3/4

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

12*2=24

7*3=24

3*7=24

4*6=24

Hope this helps!

if it has a diameter of 24, then its radius must be half that, or 12.

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies SA=4\pi (12)^2\implies SA=576\pi[/tex]

A large standard deviation means the view of the people is very dispersed and not near the mean or not similar.

Standard deviation is a very important terminology in Statistics which help to study dispersion of data from the mean

A lower value of standard deviation means the data is accumulated near the mean while a higher value means the data is dispersed in the entire range.

It is given in the question that

A researcher conducts a written survey to determine the opinion of subjects regarding their opinion of the favorability of a certain hospital.

The standard deviation value for the sample is large

A large standard deviation means the view of the people is very dispersed and not near the mean or not same.

There will be difference in the opinion as they deviate from the central value.

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The correct answer from the drop-down menu is a survey, this is because the type of data you are interested in is more subjective and open-ended.

To find out what types of product-related problems its customers are experiencing we need to investigate about the problems faced by customers by means of collecting data from a sample of population.

In this case, we have that a survey is a data collection of questions used to gather information about population.

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Answer:

6.62cm

Step-by-step explanation:

tan = opp/adj

opp = adj(tan)

opp = 13(tan(27))

opp = 6.62cm

Answer:

1156528

Step-by-step explanation:

you multiply all of the numbers to get it i think hope this helps

Answer:

p(picking red)= 4/12 (4 over 12) which can get simplified to 1/3 (1 over 3)

Answer:

63

Step-by-step explanation:

score 75 is one standard dev below the mean ====>to the mean  encompasses approx 34% of scores

.34 * 186 = 63

Answer:

in terms of pi: 24pi cm squared

substituting pi for 3.14: 75.36 cm squared

Step-by-step explanation:

8pi + 16pi = 24pi

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with a cube having volume 27 cubic meters . And we are asked to find the value of n that is basically its edge .

For finding the value of n we need to know the volume of cube. So ,

[tex] \: \qquad \: \qquad \: \underline{ \boxed{ \frak{Volume_{(Cube)} = a {}^{3} }}}[/tex]

Where ,

SOLUTION : -

Substituting given volume that is 27 m³ and value of a as n in formula :

[tex] \quad \longrightarrow \qquad \: n {}^{3} = 27[/tex]

Applying cube root on both sides :

[tex] \quad \longrightarrow \qquad \: \sqrt[3]{n {}^{3} } = \sqrt[3]{27} [/tex]

We get ,

[tex] \quad \longrightarrow \qquad \:n= \sqrt[3]{27} [/tex]

We know that 3 × 3 × 3 is equal to 27 that means cube root of 27 is 3 . So ,

[tex] \quad \longrightarrow \qquad \: \blue{\underline{\boxed{\frak{ n = 3 \: m}}}} \quad \bigstar[/tex]

Verifying : -

Now we are checking our answer whether it is wrong or right by substituting value of n and equating it with given volume that is 27 cubic meters . So ,

Substituting values :

Therefore, our answer is correct .

Answer:

3

Step-by-step explanation:

Formula for volume of cube :

Here, V is given to be 27 m³.

Substitute the value of V in the formula.

Solving : Take the cubic root on each side.

The two consecutive integers that the value of log₄7342 lie between are 6 and 7

The two consecutive integers that the value of log₅(1/500) lie between are -4 and -3

Consecutive integers are whole numbers that follow each other without gaps. For example, 1 and 2; 6 and 7; 5 and 6; 18 and 19 etc.

From the question, we are to determine between what two consecutive integers must the value of log₄7342 lie  

The value of log₄7342 = 6.42

On the number line, 6.42 is between 6 and 7.

Hence, the two consecutive integers that the value of log₄7342 lie between are 6 and 7

For log₅(1/500)

The value of log₅(1/500) = -3.861

On the number line, -3.861 is between -4 and -3

Hence, the two consecutive integers that the value of log₅(1/500) lie between are -4 and -3

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Answer:

Step-by-step explanation:

Conversion

A % can always be changed into a decimal by dividing by one hundred. In this case

decimal = 36.2/100 = 0.262 \\

Answer: 0.262

Answer:

181/500

Step-by-step explanation:

Answer:

H=4.243

Step-by-step explanation:

Formula: A^2+B^2=C^2

(3)^2+(3)^2=C^2

9+9=C^2

sqrt18=C

C=4.242640....

Answer: the zeros are the xintercepts which are shown on the graph

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

since the triangles are congruent , then corresponding sides are congruent

AC = OD

8x - 6 = 3x + 9 ( subtract 3x from both sides )

5x - 6 = 9 ( add 6 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Note }}}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

[tex]{ \boxed{✠ \: \underline{ \boxed{ \sf{\: P(A) = \frac{Number \: of \: favourable \: outcomes}{Total \: number \: of \: favourable \: outcomes} }}} \: ✠}}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

✛ Here ✛

[tex] \qquad \sf \:➛ \: x = \frac {4 }{20} \\ \qquad \sf \:➛ \: x = \frac { \cancel4 }{ \cancel{20}} \\ \qquad \sf \:➛ \: x = 0.2min[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

★ Hence probabllty that the news and weather report is NOT on P(A)

[tex] \qquad \qquad{ \boxed{✟\: \underline{ \boxed{ \sf{\:0.2min\green ✓ }}} \:✟ }}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hope it helps !

Answer:

The figures are not similar. If the purple rectangle were to get a transformation, then it would grow. For it to be

Step-by-step explanation:

If the purple rectangle were to get a transformation, then it would grow. For it to be similar it would be stretched one way to be as long as the green rectangle, but that's not how this works. Therefore, they are not similar.

Hope this helps <3

Answer:

Step-by-step explanation:

4^-3

= 1/4^3

4^-18

= 1/4^18.

Answer:

Step-the base is equal to length * width.

the formula for the volume of a rectangular prism becomes length * width * height.

the ratio of the volume of a three sided figure is the ratio of their corresponding sides cubed.

so if the ratio of their volumes is 125/64, then the ratio of their corresponding sides id 5/4 because 5^3 = 125 and 4^3 = 64.

since the base area is equal to length * widfth, then the ratio of the areas becomes 5^2 / 4^2 which is equal to 25/16.

the ratio of the base area becomes 25/16.

to confirm, use an example:

original prism has dimensions as shown below:

length = 20

width = 40

height = 60

volume = 20 * 40 * 60 = 48000

base area = 20 * 40 = 800

prims that has sides in a ratio of 5/4 to original prism is shown below:

length = 20 * 5/4 = 25

width = 40 * 5/4 = 50

height = 60 * 5/4 = 75

volume = 25 * 50 * 75 = 93750

base area = 25 * 50 = 1250

ratio of the volumes = 93750 / 48000 = 1.953125

ratio of the base areas = 1250 / 800 = 1.5625

125/64 = 1.953125

25/16 = 1.5625

the formulas work.

the ratio of the volume is 125/64

the ratio of the base area is 25/16by-step explanation:

volume = 20 * 40 * 60 = 48000

base area = 20 * 40 = 800

prims that has sides in a ratio of 5/4 to original prism is shown below:

length = 20 * 5/4 = 25

width = 40 * 5/4 = 50

height = 60 * 5/4 = 75

volume = 25 * 50 * 75 = 93750

base area = 25 * 50 = 1250

The following claims concerning hyperbola are correct:

It's worth noting that a hyperbola is essentially an open curve with two branches.

The center is at (0, 0), the vertex is at (–6, 0), and the directrices are all vertical lines.

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Answer:

1,2,5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Discussion

Think of what it would be like in your own household. If your mom has been away and the food is starting to spoil, you can't be picky. If you are not picky, you will get by until someone goes shopping.

That's the way its going to work in the ecosystem. I would pick B and hope that it the bad times won't last too long.