Zack's biology lab group is studying how quickly bacteria grow when exposed to sunlight. At the beginning of the experiment, Zack looked at the sample under a microscope and counted 5 bacteria. After the sample was exposed to sunlight for one hour, Zack looked again and counted 35 bacteria.

Answer:

Let's define these terms:

Step-by-step explanation:

A variable is a letter that represents a number.

x and y are common variables for algebra.

A coefficient is a number next to a variable.

Ex: 8x, 8 is the coefficient for the variable x

A constant is a number without a variable.

Ex: 3, -4, and pi are examples of constants.

Answer:

Below

Step-by-step explanation:

y = 3/20  *  x        where y is in miles   and x is in minutes

Put the numbers in ascending order from smallest to largest, the minimum is the smallest number in the list, The maximum is the largest number in the list, The median is found in the middle of the list and the lower quartile is the median of the first half of the data.

A number is a numerical unit of measurement and labelling in mathematics.

The natural numbers 1, 2, 3, 4, and so on are the first examples.

Number words are a linguistic way to express numbers.

More commonly, specific numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five.

Basic numerals are frequently grouped in a numeral system, which is an ordered manner to represent any number, because only a small number of symbols can be learned.

The Hindu-Arabic numeral system, which enables the depiction of any number using a combination of ten basic numeric symbols, is the most widely used system of numeration.

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What is the question for this so I can answer it?

Shakita will have enough felt to make 10 banners and she will have 2 yards left over

First, let's calculate how much felt Shakita needs for 10 banners using multiplication

= 10 banners * 1/4 yard per banner

= 2.5 yards

Comparing this with the amount of felt Shakita has:

Shakita has 4.5 yards of felt, and she needs 2.5 yards to make 10 banners, so she will have:

4.5 yards - 2.5 yards = 2 yards of felt left over.

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Answer:

13

Step-by-step explanation:

The description corresponds to an observational study, which involves gathering data and information to draw conclusions without intervening in the process. Correct answer: letter D.

An experiment would involve manipulating the variables to see the effect of the manipulation. In this case, it would involve changing the caffeine consumption and observing the effect on heart arrhythmias.

In order to better understand the relationship between heart arrhythmias and caffeine consumption, researchers need to consider a variety of factors, including the amount of caffeine consumed, the timing of consumption, and any potential underlying medical conditions that could be influencing the results.

Furthermore, researchers need to ensure that the study population is large enough and diverse enough to accurately reflect the general population. Additionally, researchers need to consider potential confounding variables, such as lifestyle factors, medications, and other dietary components that could be influencing the results.

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Answer:

False

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x=6x+9 then subtract 6x to get -1x=9. divide by 1 to get x=-9. this make the equation true. Therefore it is open.

The area of the region between the curves y=sinx and y=cosx that contains the point (0,0) is 4π.

The area of the region between the curves y=sinx and y=cosx that contains the point (0,0) is the integral of the absolute value of the difference between the two functions. This is expressed mathematically as:

∫|sinx-cosx|dx

Using integration by parts, we can break this integral into two parts:

∫sinx dx - ∫cosx dx

Integrating each of these parts separately and substituting in the limits of integration from 0 to 2π, we get the following:

2π - 0 - (-2π)

Simplifying, this gives us the area of the region as 4π.

Therefore, the area of the region between the curves y=sinx and y=cosx that contains the point (0,0) is 4π.

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68.0389 convert 150 pounds to kilograms

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The distance that would be between the cities on a map that has a scale of 3 inches:17 miles is 9 inches.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The two cities are 51 miles away from each other.

3 inches:17 miles

Now,

17 miles = 3 inches

Multiply 3 on both sides.

17 x 3 miles = 3 x 3 inches

51 miles = 9 inches

Thus,

There would be 9 inches between the cities on the map.

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Answer:

C. negative three halves

Step-by-step explanation:

Use two points on the line and slope equation to find the slope.

Let the points be (- 4, 4) and (-2, 1).

Then the slope is:

This is same as option C.

Answer:

Below

Step-by-step explanation:

the sides of the second figure are 4/3 bigger than the first

4/3 * 4/3 * 100 = 177.78 units^2

   There are two sides involved in calculating area  L x W

        so you have to multiply by 4/3 TWICE

After differentiation, The expression will be [tex]y = \frac{10}{9-t}[/tex].

Differentiation is one of the two central concepts in calculus, along with integration. Differentiation is a method for finding a function's derivative. Differentiation is a mathematical technique used to calculate the instantaneous rate of change of a function based on one of its variables. Velocity, or how quickly a distance varies in respect to time, is the most common example. Differentiation's opposite is finding an antiderivative.

If x and y are two variables, then dy/dx gives the rate of change of x in relation to y. A function's derivative is represented universally by the equation f'(x) = dy/dx, where y = f(x) is any function.

dy/dx

Now,

Given right expression is[tex]10(t+1)\frac{dy}{dt}-9y=9t[/tex]

[tex]9(y+t)=(10t-10)\frac{dy}{dt}[/tex]

After differentiation: [tex]\frac{s}{dx} (x^{n}) = nx^{n-1}[/tex]

[tex]9(y+t)=10[/tex]

[tex]y = \frac{10}{9-t}[/tex]

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The correct option are: B. x = 1 is an attractor; is the critical point for the given autonomous differential equation.

The right-side zeros of an autonomous 1st order differential equation provide the critical points: x' = f(x)

If a sign of said function shifts from positive towards negative, f(x) = 0

The solutions would converge around the critical point around an attractor.

Solve the autonomous differential equation:

dx/dt = x(1 - x),

Put dx/dt = 0

x(1 - x) = 0

x = 0, x = 1

Thus, at x = 1.

The function changes as from positive towards negative.

So, the solution becomes critical point.

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The equation of the first and second line is y = 1.5x + 1 and y = 1.5x - 2

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The slope intercept form of a linear equation is:

y = mx + b

where m is the rate of change and b is the y intercept

The first line passes through the point (0, 1) and (-2, -2). Hence:

[tex]y-y_1=\frac{y_1-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-1=\frac{-2-1}{-2-0} (x - 0)\\\\y=1.5x+1[/tex]

The second line passes through the point (0, -2) and (-2, -5). Hence:

[tex]y-y_1=\frac{y_1-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-(-2)=\frac{-5-(-2)}{-2-0} (x - 0)\\\\y=1.5x-2[/tex]

The equation of the line is y = 1.5x + 1 and y = 1.5x - 2

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The general term for the recurrence T(n) = 3T(n/2) + O(n) is O(nlog3). To get the answer, we should plug in k = log3. For the second recurrence, we cannot use the master theorem since it does not cover this case.

To solve this recurrence, we have to use the substitution method, where we guess a solution of the form T(n) = an^k and then prove that this is indeed a solution. This can be done by substituting the guessed solution back in to the recurrence. If the substitution works, then we have solved the recurrence. If not, we can try different values for a and k until the substitution works.

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Answer:

618.4

Step-by-step explanation:

Based on the given conditions, formulate: 773 x (1 - 20%)

Calculate the sum or difference: 773 × 0.8

Calculate the product or quotient: 618.4

Answer: 618.4

The letters in the actual advertisement will be 25.5 inches tall.

The height of the letters in the sketch is ¾ inch. To find the height of the letters on the actual advertisement, we have to multiply ¾ inch by 34.

So, ¾ inch x 34 = 25.5 inches

Therefore, the height of the letters on the building will be 25.5 inches.

It's important to understand the relationship between the sketch and the actual advertisement. In this case, the sketch serves as a visual representation to plan the design, but the size of the lettering must be adjusted to fit the intended space. In this case, the lettering needs to be 34 times larger in the actual advertisement than it is in the sketch.

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Answer: cos(L) = 0.3684

Step-by-step explanation:

To solve, we need to identify what its asking first.

It wants us to find the value of the cos L

We know that Cosine is equivalent to the [tex]\frac{adjacent}{hypotenuse}[/tex] sides.

We also know that Cos L is an angle.

If we look at the picture, we first need to locate where L is. Then we need to find the cosine of it.

The adjacent side to L is 7.

The hypotenuse is 19.

we can rewrite this information into an equation:

[tex]cos (L)=\frac{7}{19}[/tex]

Since it wants cos L value to the nearest hundredth, we will use a calculator to divide.

cos(L) = 0.3684

The limit as x approaches 4 of f(x) is equal to -2 * 4^2 + 3 * 4 - 1 = 15.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. Example. A function is defined technically as a relation between a set of inputs and a set of potential outputs, where each input is associated to exactly one output. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.

Here,

The limit of f(x) as x approaches 4 is given by the value of f(4).

For x = 4, the definition of f(x) is:

-2x^2 + 3x - 1 = -2 * 4^2 + 3 * 4 - 1 = 15.

Therefore, the limit of f(x) as x approaches 4 is 15.

So, lim x→ 4 f(x) = 15.

The limit of f(x) as x approaches 4 is equivalent to -2 * 42 + 3 * 4 - 1 = 15.

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The range of the progress of the construction company's six projects is 0.82.

The range of data is a measure of its spread. To calculate the range, you subtract the smallest value from the largest value.

The data for this problem is:

Project     Progress

 u                0.87

 v                0.31

 w               0.08

 x                0.05

 y                0.19

 z                0.5

In this case, the smallest value is 0.05 (project x) and the largest value is 0.87 (project u), so:

This means that the difference between the most advanced project and the least advanced project is 0.82. The range is an important measure of variability and helps in understanding the distribution of data, in this case, the progress of the construction projects.

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The value of y in the given triangle is 5√3. Therefore, option A is the correct answer.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given triangle, one of the leg of right tringle is 5 units.

We know that, tanθ= Opposite/Adjacent

tan60° =y/5

√3 =y/5

y=5√3

Therefore, option A is the correct answer.

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Step-by-step explanation:

If Randy needs to buy a headset that costs $30.00 and notebooks that cost $3.00 each, we can calculate the total cost of the supplies as follows:

Let's assume that Randy needs n notebooks.

The total cost of the notebooks will be $3.00 * n.

The total cost of the headset and the notebooks will be $30.00 + $3.00 * n.

So the total cost of the supplies will be $30.00 + $3.00 * n, rounded to 2 decimal places.

$13320 is the value of the camper after 5 years.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

m=23680-29600/3-2

=-5920

Now let us find the y intercept

37000=-5920(1)+b

b=37000+5920

b=42920

y=-5920(5)+42920

=-29600+42920

y=13320

Hence, $13320 is the value of the camper after 5 years.

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The third side of triangle is 7/15.

The third side of a triangle must satisfy the triangle inequality, which states that the sum of any two sides must be greater than the third side. For a triangle with sides of 5 and 7 inches, the third side must be less than 5 + 7 = 12 inches. So, the possible lengths for the third side are 5, 6, 7, 8, 9, 10, 11 inches.

There are 15 total possible lengths for the strip, so the probability of randomly selecting a strip that can be used as the third side of a triangle with sides of 5 and 7 inches is 7/15.

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The third side of triangle is 7/15.

The third side of a triangle must satisfy the triangle inequality, which states that the sum of any two sides must be greater than the third side. For a triangle with sides of 5 and 7 inches, the third side must be less than 5 + 7 = 12 inches. So, the possible lengths for the third side are 5, 6, 7, 8, 9, 10, 11 inches.

There are 15 total possible lengths for the strip, so the probability of randomly selecting a strip that can be used as the third side of a triangle with sides of 5 and 7 inches is 7/15.

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Answer:
look at the image and give me brainliest k thx

Step-by-step explanation:

Answer:

Step-by-step explanation:

7,2 is viable

If Hamid's current weight is 88kg and it is 10% higher than his normal weight, then we can use the following formula to find his normal weight:

Normal weight = Current weight / (1 + 10%)

10% of Hamid's weight is 0.10 * 88kg = 8.8kg

So, Normal weight = 88kg / (1 + 8.8kg) = 88kg / 1.10 = 80kg

Therefore, Hamid's normal weight is 80kg.

The probability that the first marble is white and the second is green is 0.083.

The probability of drawing a white marble first and then a green marble can be calculated by multiplying the individual probabilities of drawing each marble. The probability of drawing a white marble is 3/18 and the probability of drawing a green marble is 9/18. So, the probability that the first marble is white and the second is green is

= probability of drawing a white marble   x

  probability of drawing a green marble

= (3/18) * (9/18)

= 0.16666666666 * 0.5

= 0.083.

This means that if we randomly select two marbles, with replacement, from the jar, there is a 0.083, or 8.3%, chance that the first marble will be white and the second will be green. The probability is calculated by taking the product of the individual probabilities of each event happening.

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Answer:

41/81

Step-by-step explanation:

There are a total of 4 blue marbles, 5 red marbles giving 9 total number of marbles

Let P(B₁) =Probability of getting a blue marble on the first draw

Let P(B₂) =Probability of getting a blue marble on the second draw

Let P(R₁) =Probability of getting a red marble on the first draw
Let P(B₂) =Probability of getting a red marble on the second draw

P(B₁) = Number of blue marbles ÷ total number of marbles = 4/9

Since the marble is replaced before the second draw, the total number of blue marbles and total number of both marbles is the same as for the first draw

P(B₂) = P(B₁) = 4/9 also

Probability of getting 2 blue marbles on 2 consecutive draws= P(B₁B₂)
= 4/9 x 4/9 = 16/81

P(R₁) = Number of red marbles ÷ total number of marbles = 5/9

P(getting a red marble on the second draw) = P(R₁R₂) = 5/9

Probability of getting 2 red marbles on 2 consecutive draws = P(R₁R₂)
= 5/9 x 5/9 = 25/81

Since we are asked the probability of getting 2 of the same color we can rephrase the same question as

P(two of same color) = P(B₁B₂ ∪ R₁R₂) = P(B₁B₂) + P(R₁R₂) = 16/81 + 25/81 = 41/81