Use the formula p=le^kt. A bacterial culture has an initial population of 500. If its population grows to 7000 in 2 hours, what will it be at the end of 4 hours

*Answer*

15:47

Step-by-step explanation:

He left; 15:03

Walk for; 12mins

Spends extra;4min

So by my side,

I'll sum up those values we're having to find the total time that was spent

12+4= 16mins

So, at that time when he reached at the station it was 15:19 when we add those extra mins

And so I think it'll 15:47

My thought told me so though

UV is a segment Bisector.

A segment bisector is a line, ray, or segment that splits another line segment in half evenly at its center. The midpoint of the line segment is always bisected by the line, which divides it into two equally sized parts.

The angle bisector theorem states that a triangle's opposite side is divided into two parts by an angle bisector that is proportional to the triangle's other two sides.

To know more about segment bisector visit:-

brainly.com/question/28663444

#SPJ1

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

Find out more on fractions here: https://brainly.com/question/78672

#SPJ1

Answer:

c) \(10x<7z\)

Step-by-step explanation:

\(5x<3y \implies 10x<6y \\ \\ \therefore 10x<6y<7z \implies 10x<7z\)

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

A) P(F | Fail) = 0.0195

B) i. Most bottles that fail inspection do not have a flaw.

C) P(NF | Pass) = 0.999999

D) ii: Most bottles that pass the inspection don't have a flaw.

E) probability in part C is very large and almost 100% and as such even if we fail a bottle which has no flaw, it is not a problem because we are sure that the ones that pass have no flaw.

Step-by-step explanation:

Let us first denote the terms:

F = The bottles have a flaw

NF = The bottles have no flaw

Pass = The bottles successfully passed the inspection test

Fail = The bottle failed the inspection test.

We are given:

P(F) = 0.0002

P(Fail | F) = 0.995

P(Pass | NF) = 0.99

Thus, probability of no flaw is;

P(NF) = 1 - P(F)

P(NF) = 1 - 0.0002

P(NF) = 0.9998

Also, probability that it passes the inspection when it has a flaw is;

P(Pass | F) = 1 - P(Fail | F)

P(Pass | F) = 1 - 0.995

P(Pass | F) = 0.005

Probability that it failed the test when It has no flaw is;

P(Fail | NF) = 1 - P(Pass | NF)

Thus;

P(Fail | NF) = 1 - 0.99

P(Fail | NF) = 0.01

A. Using Baye's theorem, we can find the probability that if fails inspection when it has a flaw;

P(F | Fail) = [P(Fail | F) × P(F)] / [(P(Fail | NF) × P(NF)) + (P(Fail | F) × P(F))]

P(F | Fail) = ((0.995) × (0.0002)/((0.01 × 0.9998) + (0.995 × 0.0002))

P(F | Fail) = 0.0195

B) probability in A is very small, thus;

We can say that majority of the bottles that fail inspection do not have a flaw.

C) using baye's theorem again, the probability that the bottle does not have a flaw if it passes the inspection. iis given by;

P(NF | Pass) = (P(Pass | NF) × P(NF)) / [(P(Pass | F) × P(F)) + (P(Pass | NF) × P(NF)]

P(NF | Pass) = (0.99 × 0.9998)/((0.005 × 0.0002) + (0.99 × 0.9998))

P(NF | Pass) = 0.999999

D) Probability in C above is very high, thus;

Most bottles that pass the inspection don't have a flaw.

E) probability in part C is very large and almost 100% and as such even if we fail a bottle which has no flaw, it is not a problem because we are sure that the ones that pass have no flaw.

From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ1

\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)

Answer:

He can buy 3 cookies.

Step-by-step explanation:

Answer:

54.6

Step-by-step explanation:

29+58+15+129+75+22= 328

328÷6= 54.6666666667

round to the nearest tenth= 54.6

Answer:

A samira is correct

Step-by-step explanation:

Because she did her own expression right, now she has to solve

Answer:

the answer is c

Step-by-step explanation:

I used a caculator

Answer:

3880 ÷ 960 = 4.041

ratio = 4:1

I think 7008x is the answer

The number which is lesser than its square is 12/11

When a number is multiplied by itself, the result is a square number. For instance, 25 is a square number as it is composed of 5 lots of 5, or 5 × 5. 

The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value, because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of a number is typically only expressed as the positive value.

The numbers are

9/10 , 12/11 , 15/16 and 13/13

The squares are

81/100, 144,121, 225/256, 1

here

81/100 < 9/10 abd

225/256 < 15/16

144/121 > 12/11

To learn more about Square refer to :

https://brainly.com/question/18825450

#SPJ1

Answer:

.87

Step-by-step explanation:

She gets 13 off so 100-13 =87

She will pay 87%

Multiply by .87

Kylie must multiply the price by 0.87 to get the discounted price.

Given that,
Kylie has a loyalty card good for a 13% discount at her local hardware store. What number should she multiply the prices on the tags by to find the price she would have to pay, is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
let the price be x,
Now,
According to the question,
discounted price = x - 13% of x
Discounted price = x - 0.13x
Discounted price = 0.87 x
The coefficient of the x represents the multiplication factor for Kylie.

Thus, Kylie must multiply the price by 0.87 to get the discounted price.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ2

Answer:

3hours and 40 mins

Step-by-step explanation:

From the given equation 13x + 5y - 2 = 3, we can tell that;

Variables are; x and y

Coefficients are; 13 and 5

Constants are; -2 and 3

We are given the equation;

13x + 5y - 2 = 3

A variable is a term that is subject to change and is not fixed. Thus, in our expression, the variables are x and y.

Now, the constants are terms that a single without a variable attached to them. Thus, in our expression, the constants are -2 and 3

The coefficients are basically the numbers that are attached to the variables. Thus, the coefficient of x is 13 and the coefficient of y is 5.

Read more about Equation properties at; https://brainly.com/question/14676422

#SPJ1

The amount of $300 will be $3000 in 70 years with the rate of 5 %

Compound interest is the addition of interest to the principal sum of a loan or deposit or interest on interest plus interest.

we have a principal amount is $300 and an interest rate is 5% annually, the amount after compounding is $3000 we have to calculate the time say n.

We know that the formula for the compound interest is-

\(A=P(1- \frac{r}{100})^n\)

we have A= $3000

P= $300

r=5% = 0.05

then according to the formula

\(3000=300(1+0.05)^n\\\\30=1.05^n\\n=70 years\)

Hence the amount will be 3000 in 70 years.

learn more about compound interest

https://brainly.com/question/29335425

#SPJ1

Answer:

\( A(t) = 906 e^{0.012t}\)

Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 months into the function and we got:

\( A(36) = 906 e^{0.012*36}= 1395.54\)

So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.

Step-by-step explanation:

We know that the population can be represented with this formula:

\( A(t) = 906 e^{0.012t}\)

Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 monthsinto the function and we got:

\( A(36) = 906 e^{0.012*36}= 1395.54\)

So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.

Answer:

Step-by-step explanation:

                                                   error

Answer:

x ≈ 75.2

Step-by-step explanation:

using the tangent ratio in the right triangle

tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )

40 × tan62° = x , then

x ≈ 75.2 ( to the nearest tenth )

April bought 16 kilograms of soil in total.

We need to add the amounts of soil she used for her violets and tulips. Since April used kilograms for violets and tulips, we need to convert the 3,000 grams to kilograms before we can add them up.

April bought:

9 kilograms of soil for violets

4 kilograms of soil for tulips

3 kilograms of soil for daisies (since 3,000 grams is 3 kilograms)

Therefore, April bought 16 kilograms of soil in total.

Learn more about addition here : brainly.com/question/28387735

#SPJ1

Answer:

1. T

2. line VW

3. W

Answer:

6 red and 1 yellow

Step-by-step explanation:

Multiply 2 and 1/3 by the same value

* 2

4 Red and 2/3 Yellow

*3

6 red and 1 yellow

Etc.

The length of each side of the square is 16 cm, the perimeter is 64 cm, and the area is 256 cm^2.

Let's solve the problem step by step. We have a square ABCD, and we need to find the length of its sides when the diagonal is 16√2 cm long.

In a square, the diagonal forms a right triangle with the sides. The sides of a square are equal in length, so let's assume the length of one side of the square is 'x' cm.

Using the Pythagorean theorem, we can find the relationship between the side length and the diagonal:

x^2 + x^2 = (16√2)^2

2x^2 = 512

Dividing both sides by 2, we have:

x^2 = 256

Taking the square root of both sides:

x = √256

x = 16 cm

So, the length of each side of the square is 16 cm.

To find the perimeter of the square, we simply multiply the length of one side by 4 since all sides are equal:

Perimeter = 4 * 16 cm = 64 cm

To find the area of the square, we square the length of one side:

Area = (16 cm)^2 = 256 cm^2

For more such question on perimeter. visit :

https://brainly.com/question/19819849

#SPJ8

Note the complete question is:

Find the length of side of square ABCD when diagonal is 16√2 cm long. Also find the perimeter and area of the square?

Answer:

A'''(-1,3), B'''(2,2) and C'''(3,-3)

Step-by-step explanation:

Hello There!

So the first thing we need to do is reflect the coordinates given over the y = x line which would be a straight line across the origin with a rate of change of 1

The rule for a reflection over the y = x line is  (x,y) ----> (y,x)

so pretty much we're just flipping the y and x values

(1,6) ---> (6,1)

(2,9) ---> (9,2)

(7,10) ---> (10,7)

so the new coordinates of A'B'C' are A'(6,1) , B'(9,2), and C'(10,7)

Now we want to reflect the points over the x axis

The rule for reflection over the x axis is (x,y) ----> (x,-y)

so the x value stays the same and the y values sign just get flipped so if the y value was originally negative then it will change to positive vise versa

(6,1) ---> (6,-1)

(9,2) ---> (9,-2)

(10,7) ---> (10,-7)

So the coordinates of A''B''C'' are  A''(6,-1) , B''(9,-2), and C''(10,-7)

Our final step is to translate 7 units to the left 4 units up

so the rule would be (x,y) ----> (x - 7, y + 4)

6-7=-1 | -1+4=3

(6,-1) ---> (-1,3)

9-7=2 | -2+4=2

(9,-2) ---> (2,2)

10-7=3 | -7+4=-3

(10,-7) ---> (3,-3)

so the after the three transformations the coordinates would be

A'''(-1,3), B'''(2,2) and C'''(3,-3)

Answer:

the answer is 12

Step-by-step explanation:

d=2r=2*6.2=12.4

The amount of each payment is $699.

What is payment?

Payment refers to the exchange of something of value as a condition of a contract. While one party pays money and receives something else of value, the other party gets paid in return for delivering a good or service. Physical currency was once the most common form of payment, but nowadays most forms of payment use technology.

Given: Buy 2 personal watercrafts for $3,495 each.

So, the price for 2 watercrafts is, 2 x $3495 = $6990

They make 10 equal payments for the watercrafts.

So each payment is of $6990/10 = $699.

Hence, the amount of each payment is $699.

To know more about payment, click on the link

https://brainly.com/question/25793394

#SPJ1

The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

Learn about cuboids here: https://brainly.com/question/26403859

#SPJ1