microzooplankton is _____ compared to macrozooplankton

a) smaller
b) bigger
c) faster
d) brighter in color

btw yes i put it on math because i feel like more people do math more

Answer:

Step-by-step explanation:

Answer:

The candle burns out 1 \(\frac{1}{4}\) per hour. (or \(\frac{5}{4}\))

Step-by-step explanation:

1. Convert 11 \(\frac{1}{4}\) into an improper fraction (\(\frac{45}{4}\))

2. Divide \(\frac{45}{4}\) by 9 to find the rate

3. You should get 1 \(\frac{1}{4}\) (mixed number) or keep it as an improper fraction( \(\frac{5}{4}\) )

Hope this helps!

To obtain the ordered pair that is not on the solution set, we obtain the numeric value of each condition at the x-coordinate of the numeric pair.

For the ordered pair (2,-3), we have that:

For the ordered pair (3,-2), we have that:

More can be learned about inequality at https://brainly.com/question/9774970

#SPJ1

There are 41 ways to distribute five distinguishable objects into three indistinguishable boxes.

The boxes are indistinguishable, there are 5 different ways to arrange the number of balls in each box: (5,0,0), (4,1,0), (3,2,0), (3,1,1), or (2,2,1).

There is 1 way to put all 5 balls in one box i.e (5,0,0)

(4,1,0): There are 5 choices for the 4 balls in one of the boxes.

(3,2,0): There are 10 choices for the 3 balls in the boxes.

(3,1,1): There are 10 choices for the 3 balls in one of the boxes, and we can simply split the last two among the other indistinguishable boxes.

(2,2,1): There are 10 options for one of the boxes with two balls, then 3 options for the second box with two balls, and one for remaining for the third.

Therefore the boxes with two balls are indistinguishable, we are counting each pair of balls twice so we have to divide by two.

So there are (10×3)/2=15 arrangements of balls as (2,2,1).

Hence the total number of arrangements for 3 indistinguishable boxes and 5 distinguishable balls is 1+5+10+10+15=41.

To know more about distinguishable and indistinguishable:

https://brainly.com/question/28353849

#SPJ4

Kyle can use the equation x = (195 - 65 * 1.5) / 65 to find out approximately how long the second part of the trip will take. To find out the approximate duration of the second part of the trip, Kyle needs to calculate the remaining distance after the first stop and divide it by the average speed his dad plans to drive at.

The equation x = (195 - 65 * 1.5) / 65 represents this calculation.

In this equation, 195 represents the total distance of the trip, 65 represents the average speed in miles per hour, and 1.5 represents the time taken for the first part of the trip.

To calculate the remaining distance, we subtract the distance covered during the first part of the trip (65 * 1.5) from the total distance (195). The result is then divided by the average speed (65) to determine the time it will take for the second part of the trip.

By using this equation, Kyle can estimate how long the second part of the trip will take, given the total distance, the planned speed, and the time spent on the first part of the trip.

Learn more about average here: https://brainly.com/question/8501033

#SPJ11

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

To know more about trigonometric visit :

https://brainly.com/question/29156330

#SPJ11

To find two numbers with a difference of 42 and a minimum product, we use calculus and the concept of optimization.

We express one of the numbers as x + 42, and the other as x since their difference is 42.

The product of the two numbers, denoted as f(x), simplifies to x(x + 42).

To find the minimum product, we take the derivative of f(x) with respect to x, which gives f'(x) = 2x + 42.

To locate the minimum, we set f'(x) equal to zero and solve for x. In this case, we find x = -21.

We also examine the second derivative of f(x), denoted as f''(x), to confirm that the critical point corresponds to a minimum. In this case, f''(x) = -21, which is negative.

Thus, the two numbers are x (the smaller number) and x + 42 (the larger number), which evaluate to -21 and 21, respectively.

By following these steps, we find that the two numbers with a difference of 42 and a minimum product are -21 and 21.

Learn more about number difference: brainly.com/question/25433540

#SPJ11

The area of each blue triangle is,

⇒ A = 28.13 inches²

We have to given that;

A square is shown in figure.

And, There are four triangle is shown in the square.

Here, Side of square = 13 inches

Hence, Height of square = 13 / 2 = 7.5 inches

And, Base of triangle = 7.5 cm

So, Area of triangle is,

A = 1/2 x Base x Height

Substitute all the values, we get;

⇒ A = 1/2 × 7.5 × 7.5

⇒ A = 28.13 inches²

Therefore, The area of each blue triangle is,

⇒ A = 28.13 inches²

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Answer:

12-{16-(5×2)}²

12-(16-10)²

12-(6)²

12-36

(-24)

Answer:

ones

Step-by-step explanation:

always start with the smallest number

Answer:

ones

then tens, tenths, hundreths

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

The interest estimated by compounding methods are-

(a) Annual: n = 1; CI = $860

(b) Semiannual: n = 2; CI = $862.

(c) Monthly: n = 12; CI = $865

(d) Daily: n = 365; CI = $855

The formula for computing the compound interest is -

CI = A - P

A = P(1 + r/100nt)∧rt

In which,

(a) Annual: n = 1

A = 10,400(1 + 8/500)∧5

A = 10,400 x 1.08

A = 11,260

CI = 11,260 - 10,400

CI = $860

(b) Semiannual: n = 2

A = 10,400(1 + 8/1000)∧10

A = 10,400 x 1.089

A = 11,262

CI = $862.

(c) Monthly: n = 12

A = 10,400(1 + 8/6000)∧60

A = 10,400 x 1.083

A = 11,265

CI = $865

(d) Daily: n = 365

A = 10,400(1 + 8/182500)∧1825

A = 10,400 x 1.0832

A = 11,255

CI = $855

To know more about the compound interest, here

https://brainly.com/question/3989769

#SPJ4

The minimum rate of gasoline consumption is typically 0.5 gallons per day, which occurs after five days of vehicle inactivity. This is because the fuel system needs time to dissipate the fuel in the lines and the evaporative system.

The minimum rate of gasoline consumption is the amount used when a vehicle is not in use. This is typically 0.5 gallons per day and occurs after five days of a vehicle being inactive. This is because the fuel system needs time to dissipate the fuel in the lines and the evaporative system. When the vehicle is not used, the fuel system is not under pressure and the fuel in the lines and evaporative system is able to dissipate. This occurs gradually over a period of five days and once this has happened, the minimum rate of gasoline consumption is reached. The fuel system needs to dissipate the fuel in order to prevent it from becoming stale or evaporating, and this is the reason why the minimum rate of gasoline consumption is reached after five days of inactivity.

Learn more about rate here

https://brainly.com/question/13481529

#SPJ4

Answer:

g=3

Step-by-step explanation:

3.7g+6=1.7g+12

        -6          -6

3.7g=1.7g+6

-1.7g  -1.7g

2g=6

--------

2      2

g=3

Checking:

3.7g+6=1.7g+12

3.7(3)+6=1.7(3)+12

11.1+6=5.1+12

17.1=17.1

Since they are equal together that means that g is equal to 3.

Sorry if i took a while it was kinda hard to type out all the stufff

Answer:

a. g = 3

b. Get g alone. on one side and get everything else on the other side. divide both sides by the coefficient to have  g = answer.

Step-by-step explanation:

REMEMBER: What you do to one side must be done to the other as well.

Step one: Move the variable (g) to one side by subtracting it out of one side of the equation.

3.7g+6=1.7g+12

-1.7g      -1.7g

2g+6   =12

Step two: Isolate the variable by removing all other numbers from that side.

2g+6    =12

    -6      -6

2g        = 6

Step three: divide both sides by the variable's coefficient (number next to the variable, in this case it is 2.)

2g = 6

/3     /3

g = 3

Answer: g = 3

Hope this helps! variables can be hard to handle at first.

Answer:

We can find the radius from circumference and then area

Circumference(C) = 2πr

r = C/2π

r = 20/2π

r = 10/π

Area = πr²

Area = π × 10/π × 10/π

Area = 100/π

Area = 100/3.14

Area = 10000/314 = 31.84 cm² (approx)

Area = 32 cm² (Rounding to nearest whole number)

Answer:

32 m²

Step-by-step explanation:

We need to work out the area of the flower garden when we are given the circumference. First we need to know the formula's for area of circle and circumference of circle which are

→ Area of a circle = π × r² where 'r' is the radius

→ Circumference of a circle = 2 × π × r where 'r' is the radius

So we need to form an equation with the circumference of a circle formula and work out the radius in order to find the area so,

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2  only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

2 × π × r = 20

→ Substitute 3.14 for π

2 × 3.14 × r = 20

→ Simplify

6.28 × r = 20

→ Divide both sides by 6.28 to isolate 'r'

r = 3.18471338

So now we now the radius of the circle we can substitute the radius into the area of circle formula

Area = π × r²

→ Substitute 3.14 for π and r for 3.18471338

Area = 3.14 × 3.18471338²

Area = 31.847133842

To the nearest whole number your answer is 32 m²

Answer: The inverse of the logarithmic function f(x) = log2x can be found by interchanging the roles of x and y in the function and solving for y. The steps are as follows:

Step 1: Replace f(x) with y.

y = log2x

Step 2: Interchange x and y.

x = log2y

Step 3: Solve for y.

We need to isolate y on one side of the equation. To do this, we can rewrite the equation in exponential form. Recall that the logarithmic function with base b is defined as follows:

logb(x) = y if and only if b^y = x.

Using this definition, we can rewrite the equation x = log2y as follows:

2^x = y

This means that the inverse of f(x) = log2x is given by:

f –1(x) = 2^x

Therefore, the correct answer is:

f –1(x) = 2^x.

Step-by-step explanation:

Answer:

So there are 500 pairs of numbers that have a sum of 1001. Thus, the sum of numbers from 1 to 1000 is 500*1001 = 500,500.

Step-by-step explanation:

The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.

According to the statement

we have to explain about the function in which cryptography takes a string of any length as input and returns a string of any requested variable length.

So, For this purpose,

we know that the

A sponge function or sponge construction is any of a class of algorithms with finite internal state that take an input bit stream of any length and produce an output bit stream of any desired length.

So from definition and its working process it is clear that for this purpose the sponge function is used.

this function returns the string of any variable length.

So, The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.

Learn more about sponge function here

https://brainly.com/question/2328150

#SPJ4

The performance score associated with the c grade is 157, and the performance score associated with the a grade is 355.

The z-score is a numerical measurement used in statistics to indicate how many standard deviations a particular value is from the mean of a dataset. It is calculated by subtracting the mean from the data point and dividing the result by the standard deviation. The resulting number is the z-score. The z-score is a useful tool for identifying outliers in a dataset, as values with z-scores that are too high or too low can be easily identified. Z-scores can also be used for comparing data points from different datasets, as z-scores are independent of the mean and standard deviation of the dataset. Z-scores can also be used for comparing data points from different datasets, as z-scores are independent of the mean and standard deviation of the dataset. This makes them ideal for normalizing data from different sources or for comparing data from different time periods or from different locations.

The z-score associated with the 9th percentile from the standard normal distribution is -1.28, and the z-score associated with the 91st percentile is 1.28.

b. (2 points) what are the performance scores associated with the c grade and the a grade?

The performance score associated with the c grade is 157, and the performance score associated with the a grade is 355.


To know more about z score click-
https://brainly.com/question/25638875
#SPJ1

The bottom is moving at a rate of \(4\sqrt{3}\) ft/s along the ground when the botton of the ladder is at a distance of 6 ft from the wall.

Here we have been mentioned that a 12 feet ladder is leaning against the wall which is represened by AC in the below given triangle.

We have AB = y = distance of top of the ladder from the wall

BC = x = distance of bottom of the ladder from the wall

AC = z = height of the ladder = 12 ft (given)

The top of the ladder AB is sliding down at a rate of 4 \(ft/s\)

∴ \(\frac{dy}{dt}\) = - 4 ft/s (negative sign indicates that the top is sliding downwards)

Let the rate at which the bottom of the ladder is sliding be \(\frac{dx}{dt}\)

Now in the right angled triangle \(ABC\) by using Pythagoras theorem we have,

\(AB^{2} + BC^{2} =\)\(AC^{2}\)

\(y^{2} +x^{2} = z^{2}\)    (equation 1)

When x = 6ft and z = 12 ft,

\(y^{2} +6^{2} = 12^{2}\)

⇒ \(y^{2} = 144 - 36\)

⇒ \(y^{2} = 108\)

⇒ y = √108

⇒ y = 6 √3 ft

Differentiating equation 1 with respect to \(time\) we get,

\(\frac{d}{dt} (y^{2} +x^{2} ) = \frac{d}{dt} (z^{2})\)

⇒ 2y\(\frac{dy}{dt}\) + 2x\(\frac{dx}{dt}\) = 2z\(\frac{dz}{dt}\)

Putting the values of dz/dt = 0 (as the height is constant) , dy/dt = - 4 ft/s , y = 6 √3 ft, x = 6ft and z = 12ft we have,

∴ 2(6√3) (-4) + 2(6)\(\frac{dx}{dt}\) = 2(12)(0)

⇒ -48√3 + 12\(\frac{dx}{dt}\) = 0

⇒ 12\(\frac{dx}{dt}\) = 48√3

⇒ \(\frac{dx}{dt} = \frac{48\sqrt{3} }{12}\)

⇒ \(\frac{dx}{dt} = 4\sqrt{3}\) ft/s

Hence the rate at which the bottom of the ladder is sliding is \(\frac{dx}{dt} = 4\sqrt{3}\) ft\s

To know more about rate click here:

https://brainly.com/question/25146836

#SPJ4

Answer:

100

Step-by-step explanation:

45 degrees from I to H +55 degrees from H to G

The group of individuals would be the best choice for a random sample is to ask every fourth person who is wearing that brand of sneaker.

We have,

A market research company wants to collect opinions on the comfort and performance of a new type of sneaker by brand x.

We have to determine which group of individuals would be the best choice for a random sample.

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen

One of the best methods in random sampling is called quartering.

In quartering, the population is divided into 4 quadrants and the

the sample is obtained on one of the quadrants obtained.

In this case, the procedure to do is:

To ask every fourth person who is wearing that brand of sneaker.

Therefore option A is correct.

To learn more about the sampling visit:

https://brainly.com/question/12892403

Answer:

It's b

Step-by-step explanation:

Took it on edge 2022

Answer:

\(x=1,-5\)

Step-by-step explanation:

\(We\ are\ given\ that,\\4x+5=x(x+8)\\Hence\ by\ expanding\ the\ terms,\\4x+5=x^2+8x\\Hence\ by\ moving\ 4x\ and\ 5 to\ the\ RHS\ ,\\0=x^2+8x-4x-5\\Hence\ by\ simplifying\ the\ RHS,\\0=x^2+4x-5\\Now,\\We\ take\ a\ closer\ look\ at\ the\ RHS,\\x^2+4x-5\ can\ also\ be\ written\ as:\\=x^2+5x-x-5\\Now, By\ factorizing,\\x(x+5)-1(x+5)\\=(x-1)(x+5)\\Hence,\\(x-1)(x+5)=0\\Now,\\To\ nullify\ the\ LHS\ to\ 0,\ either\ the\ term\ (x-1)\ or/and\ (x+5)\ should\ equate\ to\ 0.\\Hence,\\x-1=0\\\)\(x=1\ is\ our\ first\ solution\\(x+5)=0\\x=-5\ is\ our\ second\ solution\\Hence,\\x=1,-5\)

Answer:

,,,

Step-by-step explanation:

Answer:

Scientifically proven that there is a 60% chance you will get an odd number and a 40% chance you will get an even number.

I hope this helps!!

The distance of both the planes from the starting point will be  1029 miles.

This is a question of time, speed and distance.

Given that:-

Speed of jet plane = 480 mph

Speed of propeller plane = 200 mph

Also, the propeller plane has a 3 hour head start.

We have to find the distance of both the planes from the starting point.

When the jet plane overtakes the propeller plane both of them would have covered the same distance.

Let the time taken by the jet plane to overtake the propeller plane be t hours.

Hence, the propeller plane would have travelled for (t+3) hours.

Hence, we can write,

480*t = 200*(t+3)

480t = 200t + 600

280t = 600

t = 600/280 = 15/7 hours.

Hence, distance from both the planes from the starting point = (15/7)*480 = 1028.57 miles = 1029 miles.

To learn more about distance here:-

https://brainly.com/question/15172156

#SPJ4

Answer:

B

We know the circle is closed

Answer:

Is the answer 9 .please mark me as brainliest

To find the critical value that corresponds to a confidence level of 95% for estimating a population mean, we can use the t-distribution since the sample size is small (n = 4) and the population is assumed to have a normal distribution.

The critical value is obtained by considering the desired confidence level and the degrees of freedom, which is equal to the sample size minus 1 (df = n - 1 = 4 - 1 = 3). Since we are looking for a 95% confidence level, the remaining 5% is divided equally into two tails (2.5% in each tail). Therefore, we need to find the critical value that leaves 2.5% in the upper tail. Using a t-distribution table or statistical software, the critical value for a confidence level of 95% and 3 degrees of freedom is approximately 3.182.

Therefore, the critical value that corresponds to a confidence level of 95% for estimating a population mean with a sample size of 4 is approximately 3.182.

Learn more about population here

https://brainly.com/question/30396931

#SPJ11