A bacteria triples every hour. A population of 150 bacteria were placed in a jar [2 a) Create an equation for this situation. [2 b) How much bacteria will there be after 12 hours?

Subtract:

To perform this subtraction, since 4 is less than 6, borrow 1 from the top number on the left next to 4, we have:

The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)

The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.

First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.

Now we'll apply the chain rule. We have:

f'(x) = (derivative of outer function) * (derivative of inner function)

f'(x) = (-1/√(1-u^2)) * (2x)

Since u = x^2, we'll substitute that back into our equation:

f'(x) = (-1/√(1-x^4)) * (2x)

So, the derivative of f(x) = arccos(x^2) is:

f'(x) = -2x / √(1-x^4)

To learn more about Derivative :

https://brainly.com/question/23819325

#SPJ11

Answer:i had to

Step-by-step explanation: mb

Answer:

22 degrees

Step-by-step explanation:

well what do you want to know???

Answer:t=32/27

Step-by-step explanation:

3/4t=8/9

(4/3)(3/4)t=(4/3)(8/9)

t=32/27

Hope it helps

The values are:

Sin Ф = 4/5

Cos Ф = -3/5

Tan Ф = -4/3

Cosec Ф = 5/4

Sec Ф = -5/3

Cot Ф = -3/4

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

The point P = (12,-9) on the circle x² + y² =2 is also on the terminal side of an angle Ф.

This means,

Base = -9

Perpendicular = 12

Applying Pythagorean theorem.

Hypotenuse² = Base² + Perpendicular²

Hypotenuse² = (-9)² + 12²

Hypotenuse² = 81 + 144

Hypotenuse² = 225

Hypotenuse = √225 = 15

Hypotenuse = 15

Now,

Sin Ф = Perpendicular / Hypotenuse = 12/15 = 4/5

Cos Ф = Base / Hypotenuse = -9/15 = -3/5

Tan Ф = Perpendicular / Base = -12/9 = -4/3

Cosec Ф = Hypotenuse / Perpendicular = 15/12 = 5/4

Sec Ф = Hypotenuse / Base = -15/9 = -5/3

Cot Ф = Base / Perpendicular = -9/12 = -3/4

Thus,
The values are given above.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ1

Answer:

there are now 3.5 kilograms of grapes in the basket (the mystery number is 1.5)

Let us suppose that the number of grapes in the box is x and the number of grapes in the basket is y.

It means that the weight of the grapes in the box is x kg and that of basket is y kg.

It has been given that the box had twice as many grapes as a basket. Therefore, we have

Now when we add 2 kg to the basket then the weight of the basket is y+2 and the weight of box will remain same.

Now, we have been given that after 2 kilograms were added to the basket it contained 0.5 kilograms more than the box. Hence, we have

Substituting the value x=2y in the equation, we get

Therefore, the basket contains 1.5 kilograms of grapes.

Answer:

Both sides and they don't even need that kind in. so the fact it does the job and is going out.

Step-by-step explanation:

the problem with it isn't an excuse if it isn't an

Answer:

supply

Step-by-step explanation:

Answer:

x = − 1 3 − 1

Step-by-step explanation:

Solve the equation for  x by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula. x = − 1 3 − 1

Answer:

Where are your equations?

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

-4+5=1

1=v/14

1x14=14

14=v

Answer:

Step-by-step explanation:

The sum of angles in a triangle add up to 180

Triangle 1:

x + 2x + 30 = 180

⇒ 3x + 30 = 180

⇒ 3x = 180 - 30

⇒ 3x = 150

⇒ x = 150/3

⇒ x = 50

⇒ 2x = 2(50)

⇒ 2x = 100

x = 50°

2x = 100°

Triangle 2:

3x + 4x + 5x = 180

⇒ 12x = 180

⇒ x = 180/12

⇒ x = 15

3x = 3(15)

⇒ 3x = 45

4x = 4(15)

⇒ 4x = 60

5x = 5(!5)

⇒ 5x = 75

The angles are: 45°, 60° and 75°

The function representing the given situation will be f(x) = x², where x is the number of week.

A function is defined as a relation between a set of inputs having one output each.

Given that, Cate started with $0 in her account. After one week, Cate saved $1; after two weeks she saved $4; after three weeks she saved $9; and after four weeks she saved $16.

As we see,

In 1 week the amount is $1

In 2 week the amount is $4

In 3 week the amount is $9

Which is showing that the amount is square of the week.

Hence, we can write the function as f(x) = x², where x is the number of week.

For more references on function, click;

https://brainly.com/question/21145944

#SPJ1

Answer:

Rational number

Step-by-step explanation:

It is a rational number because it terminates. However, it is NOT an integer because there is a decimal making it unable to be a whole and natural number.

Answer:

x ≤ -1 or x ≤ -5

Step-by-step explanation:

if the quest is x^2 + 6x ≤ -5

then x ≤ -1 or x ≤ -5

The probability that a randomly selected person from the city will be a woman is 17,000 / 190,000, or approximately 0.089.

1. Calculate the total number of women: 17,000

2. Calculate the total population of the city: 190,000

3. Divide the number of women by the total population: 17,000 / 190,000

4. The probability is approximately 0.089

The probability that a randomly selected person from the city will be a woman is 17,000 / 190,000, or approximately 0.089.

The probability that a randomly selected person from the city of Akron, Ohio will be a woman is 0.089. This means that out of every 100 people, approximately 8.9 of them will be female. The city has a population of 190,000 and 17,000 of them are female. This means that approximately 8.9 percent of the city's population is female.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Step-by-step explanation:

that is the answer up there couldn't write it down

The statistic that the value 24.7 represents in this context is the median of the gas mileages for the cars tested.

Popular magazine that tests cars and trucks for mileage on the road and around the city. They report that 50% of the cars tested had mileages below 24.7 mpg on the road, and the other 50% had mileages above 24.7 mpg. The 24.7 mpg statistic represents the median of the gas mileages for the cars tested. This is because the median is the middle value when the data is arranged in ascending order, and in this case, it separates the lower 50% from the upper 50% of the mileages.

The median is the value that separates the data set into two halves. In this case, the magazine reports that 50% of the cars tested had mileages below 24.7 mpg on the road and the other 50% of the cars tested had mileages above 24.7 mpg. This means that 24.7 mpg is the exact middle value of the distribution of the gas mileages for the cars tested.

Learn more about "median ":

https://brainly.com/question/26177250

#SPJ11

To simplify the expression 5√8 + √3, we can simplify each radical term separately and then combine them.

First, let's simplify the radical terms:

√8 can be simplified as 2√2 because 8 can be factored into 4 * 2, and √4 is equal to 2.

√3 cannot be simplified further since 3 is a prime number.

Now, let's substitute the simplified radical terms back into the expression:

5√8 + √3 becomes 5(2√2) + √3.

Next, we can multiply the coefficients outside the radicals:

5(2√2) is equal to 10√2.

Putting it all together, the simplified expression is:

10√2 + √3.

So, 5√8 + √3 simplifies to 10√2 + √3.

Answer:

122

Step-by-step explanation:

calculations attached

The current in amps when the resistance is 12 ohms is 40 amps.

Explain resistance

Resistance is the measure of how much a material or object opposes the flow of electric current through it. It is a property that determines how much voltage is needed to drive a given current through the material and is measured in ohms. Resistors are components used to control the resistance in an electrical circuit.

According to the given information

We know that the current (I) varies inversely with the resistance (R), so we can write:

I = k/R

24 = k/20

Multiplying both sides by 20, we get:

k = 480

Now we can use this value of k to find the current when the resistance is 12 ohms:

I = 480/12

I = 40

To know more about resistance visit

brainly.com/question/30799966

#SPJ1

Answer:

i.dk much but try Hypotenuse Leg Theorem very sorry if i wrong so sorry

Step-by-step explanation:

i.dk how i would explain

Answer:

SAS

Step-by-step explanation:

i just got it right

The median price from the given data is 648,303.

To find the median price from the given data, we need to arrange the prices in ascending order and then locate the middle value. If there is an odd number of data points, the median will be the middle value. If there is an even number of data points, the median will be the average of the two middle values.

Let's arrange the data in ascending order:

181,386,243,922,355,008,406,791,542,820,648,303,782,200,845,053,924,494,1,089,774,1,175,704,1,274,928,1,308,954

There are a total of 13 data points, which is an odd number. So, the median price is the middle value.

The middle value is the 7th value:

Median Price = 648,303

Therefore, the median price from the given data is 648,303.

Learn more about  price from

https://brainly.com/question/29023044

#SPJ11

Answer: −4.5n+3 = -3(1.5n - 1)

Step-by-step explanation:

The estimate for the total number of bees in her hive is 190 bees

She catches 90 of the bees on Monday and she puts mark on each bees and return them to her hive.

On Tuesday she catches 120 of the bees. She find out that 20 of the bees has been marked.

This means only 100 bees have not been marked on Tuesday.

Therefore, the total number of bee in her hives is as follows:

total number = 90 + (120 - 20)

total number = 90 + 100

total number = 190 bees

learn more on estimate here:https://brainly.com/question/16670022

#SPJ1

Answer:

is this all what u where given

Answer:

y = (-4/7)x + 5

Step-by-step explanation:

We want the equation of a line in slope-intercept form y = mx + b.

Knowing that m = -4/7, we write y = (-4/7)x + b.

We know this line passes through (14, 3) and thus can substitute 14 for x and 3 for y in the above equation, obtaining:

3 = (-4/7)(14) + b

Solving for the y-intercept, b, we get

3 = -4(-2) + b, or

b = 5

Thus the desired equation is y = (-4/7)x + 5.