36% of what number is 27
help please
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Answer:

534

Step-by-step explanation:

1247:1.45=860

472.7:1.45=326

860-326=534

The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the amount by which a bacterial cell is smaller than the amoeba cell

Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)

The length of a bacterial cell in scientific notations is 5 × 10^(- 6)

To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.

= 3.5 × 10^(- 4) / 5 × 10^(- 6)

= 0.7 × 10^(2)

= 7 × 10^(1)

Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

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Sylvia and Patrick gathered information on the weight of cars and the mileage they get, and then proceeded to plot the data on a graph.

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Answer:

Your answer would be 198.

Step-by-step explanation:

Brainliest please! I am so close to getting my next ranking! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

A(14)=240(1+0.09)^14-1

A(14)=240(1.09)^13

A(14)=240(3.065)

A(14)=735.79

Make sure the calculations m

The time it takes for gaussian elimination to work on a system of equations is directly related to the number of equations in the system.

Gaussian elimination is a method used in linear algebra to solve systems of linear equations. It involves manipulating the coefficients of the equations in a specific way so that the solution is easier to find.

When comparing a system of 1000 equations to a system of 500 equations, the time it takes for gaussian elimination to work on the larger system is significantly longer.

This is because the number of operations required to solve the system increases as the size of the system increases.

To be more specific, the number of operations required for gaussian elimination is proportional to the square of the number of equations in the system.

This means that if a system of 500 equations requires 1000 operations, a system of 1000 equations would require 2000 operations.

So, we can expect gaussian elimination to take about twice as long to work on a system of 1000 equations compared to a system of 500 equations.

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Answer:

irregular polygon, octagon, concave

Step-by-step explanation:

Part A: The group of points labeled N is called a scatter plot. The point labeled M is an outlier.

Part B: The association between students' test scores and the number of hours they study is that as the number of hours students study increases, their test scores tend to increase as well.

A scatter plot is a type of graph that displays the relationship between two variables. It is often used to show how one variable is affected by another.

Part A: The presence of point M could be due to an error in recording data, or it could be due to an unusual event or circumstance that is not representative of the population.

Part B: This suggests that the more time students put into studying, the better their test scores will be. However, it is important to note that the graph does not necessarily imply that studying for more hours will necessarily lead to higher test scores, as the scatter plot also shows that there are other factors that could affect test scores.

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Part A: The group of points labeled N is called a scatter plot.

The point labeled M is called an outlier.

The presence of point M is likely due to the fact that the student studied for only one hour, yet achieved a perfect score

Part B: The association between students' test scores and the number of hours they study is that as the number of hours students study increases, their test scores tend to increase as well.

A scatter plot displays the relationship between two variables. It is often used to show how one variable is affected by another.

Part A: The group of points labeled N is called a scatter plot.

The point labeled M is called an outlier.

The presence of point M is likely due to the fact that the student studied for only one hour, yet achieved a perfect score.

Part B: The scatterplot shows a weak positive association between students' test scores and the number of hours they study.

As the number of hours studying increases, the test scores tend to increase, although there is considerable variability in this relationship. The outlier at 1, 100 indicates that there may be other factors other than study time that influence test scores.

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Answer:

x + 2 = 2x

Step-by-step explanation:

sum means addition.

twice a number means doubling or multiplying by 2

Answer:

x+2 = 2x

Step-by-step explanation:

Let x be the number so that we can write an equation

Sum means add.

x+ 2

Is means equals.

x+2 =

Twice means multiply by 2

x+2 = 2x

Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

The amplitude of v(t) at steady-state is (a) Amplitude = KFc. This is because the amplitude of the response in a linear system is proportional to the amplitude of the forcing function, and the constant of proportionality is the system gain, K.

In this case, the forcing function has an amplitude of Fc, and the system gain is K, so the amplitude of the response at steady-state is K times Fc, or KFc. The amplitude of v(t) at steady-state can be found by considering the relationship between the system gain (K) and the forcing function f(t). Given the forcing function f(t) = Fc * sin(100t/τ), we can determine the steady-state response by taking the amplitude of the sinusoidal forcing function and multiplying it by the system gain K. Hence, the amplitude of v(t) at steady-state is: Amplitude = K * Fc Therefore, the best answer is: a. Amplitude = KFc.

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Answer:

X-32

Step-by-step explanation:

We don’t know the value of s so therefore x-32

Without redefining any global objects, changing the definition of the exp y function, or creating new objects, you can calculate the fourth power of eleven using the exp y function by calling exp y(11), which will give you the result of 14641.

To calculate the fourth power of eleven using the expy function without redefining the global objects x or y, changing the definition of the expy function, or creating any new objects, you can follow these steps:

1. First, we need to understand the expy function. The expy function calculates the exponential value of the variable y. In this case, y represents the power to which we want to raise a number.

2. To calculate the fourth power of eleven, we can use the expy function with y set to 4 and the number 11 as the input. This can be done by calling the expy function with the value of 11 as the argument, like this: expy(11).

3. The expy function will then raise the input number (11) to the power of the variable y (4). In other words, it will calculate 11^4.

4. The result of the calculation will be the fourth power of eleven, which is 14641.

So, without redefining any global objects, changing the definition of the exp y function, or creating new objects, you can calculate the fourth power of eleven using the exp y function by calling exp y(11), which will give you the result of 14641.

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Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

u take the 4 out

4 (7 + 6)

4 x 13

The product of two factors using the GCF and the distributive property is 4(13).

The largest integer of highest degree that is an exact divisor of each of two or more integers.

The greatest common divisor of 24 and 28

24=2×2×2×3

28=2×2×7

We can see that the 2 and 2 is common in 24 and 28

The GCD of 28 and 24 is=2×2= 4

For the distributive property we have

28 = 4 x 7

24 = 4 x 6

we take the 4 out

4 (7 + 6)

=4 x 13

Therefore the GCD is 4 and by distributive property product is 4(13).

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Answer:

The answer would be 48 cm2

Step-by-step explanation:

1.  We need to convert the inches to square centimeters.

We multiply 3.5 × 2.54, which is 8.89. We can round this to 8.90.

We also multiply 4.25 × 2.54, which is 10.79500. We can round this to 10.80.

2. The formula to find the area of a triangle is \(a= \frac{hb}{2}\)

3. We plug the numbers into the formula. \(a= \frac{(8.90) (10.80) }{2}\)

4. 8.90 × 10.80 = 96.12

5. 96.12 ÷ 2 = 48.06

6. Round 48.06 to the nearest square centimeter to get 48 cm2

Answer:

Step-by-step explanation:

Part A: Based on the given graph, we can observe that as the temperature of the city increases, the number of people at the swimming pool generally tends to increase as well. This suggests a positive correlation between temperature and the pool's population. In other words, when it gets hotter, more people are likely to visit the swimming pool. The relationship is not strictly linear, but it shows a general trend of increasing pool population with increasing temperature.

Part B: To determine the line of best fit, we can calculate the approximate slope and y-intercept using the given data points. Let's select two points from the data, such as (2.5, 1) and (12, 12):

Slope (m) = (change in y) / (change in x)

= (12 - 1) / (12 - 2.5)

= 11 / 9.5

≈ 1.16

To find the y-intercept (b), we can choose one of the points and substitute the values into the slope-intercept form (y = mx + b). Let's use the point (2.5, 1):

1 = 1.16 * 2.5 + b

1 = 2.9 + b

b ≈ -1.9

Therefore, the approximate slope of the line of best fit is 1.16, and the approximate y-intercept is -1.9.

Answer:

Altitude of the right triangle is 4 cm.

Step-by-step explanation:

The altitude divides the right triangle's hypotenuse as 2 cm and 8 cm long.Let's use formula for similar right triangles proportional equation.I'll show you the diagram with steps.

The expressions when simplified are -9 - 2i and x = ±8i

From the question, we have the following parameters that can be used in our computation:

(6 -7i) - (8 - 5i) - 7

When evaluated, we have

(6 -7i) - (8 - 5i) - 7 = -9 - 2i

Here, we have

6x² = -384

Divide by 6

x² = -64

Take the square roots

x = ±8i

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Let's denote the width of the rectangle as "w" (in inches).

According to the given information, the length of the rectangle is 6 inches more than the width. Therefore, the length can be represented as "w + 6" (in inches).

The perimeter of a rectangle is given by the formula: 2(length + width).

So, for the given rectangle, the perimeter can be expressed as:

2(w + (w + 6)) = 72

Simplifying the equation:

2(2w + 6) = 72

4w + 12 = 72

4w = 72 - 12

4w = 60

Dividing both sides of the equation by 4:

w = 60 / 4

w = 15

Therefore, the width of the rectangle is 15 inches.

Substituting the value of the width into the equation for the length:

Length = w + 6 = 15 + 6 = 21

So, the dimensions of the rectangle are:

Width = 15 inches

Length = 21 inches

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The probability of using a different catalyst for each run is 1.

The given data can be expressed as follows: Six different experimental runs are to be made on the first day of experimentation. If six are randomly selected from among all the possibilities, so that any group of six has the same probability of selection, what is the probability that a different catalyst is used on each run?

We are to determine the probability of using a different catalyst for each run, which is the probability of choosing the six catalysts from six different catalysts. Possible number of ways to select 6 catalysts from 6 = 6C6 = 1

Thus, there is only one way to select 6 different catalysts for 6 different runs. Therefore, the probability of using a different catalyst for each run is 1.

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Answer:

Linear

Step-by-step explanation:

Answer:

Linear, there is a constant rate of change

Step-by-step explanation:

The requried, 9x² + 6x can be fully factorised as 3x(3x + 2).

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,

To factorize fully 9x² + 6x, we can factor out the most significant common factor of the two terms, which is 3x:

9x² + 6x = 3x(3x + 2)

Therefore, 9x² + 6x can be fully factorised as 3x(3x + 2).

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Answer:

I think it's either B or C

hope this helps

have a good day :)

Step-by-step explanation:

Pick which one you think best

The first energy system that is activated during a sprint to replenish muscle ATP is the phosphagen system. It is a high-energy system that can only operate for a few seconds at maximum capacity.

During a sprint, the body requires a rapid supply of energy to power the muscles. The phosphagen system, also known as the ATP-PCr system, is the first energy system that is activated. This system uses stored creatine phosphate to rapidly regenerate ATP.

The phosphagen system has a very high capacity for energy production, but it can only operate at maximum capacity for a few seconds before it becomes depleted. Once the phosphagen system is exhausted, the body will switch to other energy systems such as glycolysis and oxidative phosphorylation.

Therefore, the phosphagen system is crucial for providing the initial burst of energy during a sprint.

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Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.

To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.

To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.

Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.

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representing the number on number line a < -1/2

The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence.

given that

4(2a+3)<7-2a

firstly solve the equation so now multiply 4 with 2a and 3 .

8a + 12<7-2a

then move -2a to the left side and +12 to right side. then -2a changes to +2a and +12 changes to -12

8a + 2a < - 12 + 7

now add the values on both sides

10a < - 5

now divide the both sides by 10

\( \frac{10}{10} a < - \frac{5}{10} \)

\(a < - \frac{1}{2} \)

so ,

\(a < - \frac{1}{2} \)

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Answer:

Step-by-step explanation:

answer the question

The required expression will be 2/x+15 as the problem says "the sum of 2 divided by x and 15".

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.

Here,

2 divided by x,

=2/x

sum of 2/x and 15,

2/x+15

The conclusion is "the sum of 2 divided by x and 15," hence the necessary equation will be "2/x+15."

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