I need help with this ASAP!

The discrete uniform distribution assigns an equal probability of 1/n to each distinct real number in a set {x1, x2, ..., xn}. It is used when there is no preference for any specific value in the set.

The discrete uniform distribution is a probability distribution where each value in a set of distinct real numbers has an equal probability of occurring. In this case, let x1, x2, ..., xn be n fixed and distinct real numbers. The discrete random variable x assigns a probability mass of 1/n to each xi. This can be written as x ∼ disc.unif(x1, x2, ..., xn), where p(x) = 1/n for each x in {x1, x2, ..., xn}.

In this distribution, the probability of any specific value occurring is the same for all values. The probability mass function of the discrete uniform distribution is defined as p(x) = 1/n for each x in {x1, x2, ..., xn}. This means that each value has an equal chance of being selected or observed.

The discrete uniform distribution is often used in situations where there is no reason to favor one value over another. It is commonly used in random number generation and statistical simulations. The uniform distribution has a constant probability across the entire range, making it a simple and useful distribution for certain applications.

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Answer:

D

Step-by-step explanation:

(5√2 - 4√3)^2 =

50 + 48 - 40√6 = 98 - 40√6

Answer:

X = 32

Step-by-step explanation:

X/4 = 8

To solve for x, multiply each side by 4

X/4*4 = 8*4

X = 32

Using the Cramer's Rule, the solution of the given system of equation is (-17/11, 48/11)

The given system of equations are

10x+4y=2

-6x+2y=18

Solving the equations by using Cramer's rule.

We know that, the solution of a system of linear equations in two unknowns

a(1)x+b(1)y = c(1)

a(2)x+b(2)y = c(2)

is given by ∆x=∆1, and ∆y=∆2.

where,

\(\Delta=\text{det}\left [ \begin{matrix} a(1)&b(1) \\ a(2) & b(2)\end{matrix} \right ], \Delta(1)=\text{det}\left [ \begin{matrix} c(1)&b(1) \\ c(2) & b(2)\end{matrix} \right ]\text{ and }\Delta(2)=\text{det}\left [ \begin{matrix} a(1)&c(1) \\ a(2) & c(2)\end{matrix} \right ]\)

Since the given equations are;

10x+4y=2

-6x+2y=18

Now,

\(\Delta=\text{det}\left [ \begin{matrix} 10&4 \\ -6 & 2\end{matrix} \right ]\)

∆ = [(10×2)-(-6×4)]

∆ = 20+24

∆ = 44

\(\Delta(1)=\text{det}\left [ \begin{matrix} 2&4 \\ 18 & 2\end{matrix} \right ]\)

∆(1) = [(2×2)-(18×4)]

∆(1) = 4-72

∆(1) = -68

\(\Delta(2)=\text{det}\left [ \begin{matrix} 10&2 \\ -6 & 18\end{matrix} \right ]\)

∆(2) = [(10×18)-(-6×2)]

∆(2) = 180+12

∆(2) = 192

By Cramer's Rule,

∆x = ∆(1)

44 × x = -68

x = -68/44

x = -17/11

Now,

∆y = ∆(2)

44 × y = 192

y = 192/44

y = 48/11

Hence, the solution of the given system of equation is (-17/11, 48/11).

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The right question is:

Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. Write all numbers as integers or simplified fractions.

10x+4y=2

-6x+2y=18

According to the equation we have After simplifying, the equation in spherical coordinates is: 5ρ^2 - 3ρ sin(θ) cos(φ) = 0 .

To write the given equation in spherical coordinates, we first need to express x, y, and z in terms of rho (ρ), theta (θ), and phi (φ), which are the spherical coordinates.

We know that:

x = ρsinφcosθ
y = ρsinφsinθ
z = ρcosφ

Substituting these values in the given equation, we get:

5(ρsinφcosθ)² - 3(ρsinφcosθ) + 5(ρsinφsinθ)² + 5(ρcosφ)² = 0

Simplifying further, we get:

5ρ²sin²φcos²θ + 5ρ²sin²φsin²θ + 5ρ²cos²φ - 3ρsinφcosθ = 0

Now, we can use the trigonometric identities:

sin²θ + cos²θ = 1
sin²φ + cos²φ = 1

Substituting these in the equation, we get:

5ρ²sin²φ + 5ρ²cos²φ - 3ρsinφcosθ = 0

To rewrite the given equation 5x^2 - 3x + 5y^2 + 5z^2 = 0 in spherical coordinates, we need to use the conversions:

x = ρ sin(θ) cos(φ)
y = ρ sin(θ) sin(φ)
z = ρ cos(θ)

Substitute these conversions into the equation:

5(ρ sin(θ) cos(φ))^2 - 3(ρ sin(θ) cos(φ)) + 5(ρ sin(θ) sin(φ))^2 + 5(ρ cos(θ))^2 = 0

After simplifying, the equation in spherical coordinates is:

5ρ^2 - 3ρ sin(θ) cos(φ) = 0

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Using the concept of percentages the total earning of Cara can be found to be $4200.

Percentage is a number expressed as a fraction of 100. The % sign means to divide the number by 100.

Cara's earning = commission + basic salary

basic salary = $1800 (this is constant)

commission = 6% of $40000

= (6/100)*40000

= $2400

Cara's earning = 1800 + 2400

Hence, her earning is $4200

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Round this however you need to

=================================================

Explanation:

The reference angle is 56 degrees. The side 26.5 is adjacent to this angle as it is the leg closest to the angle (in contrast to the opposite leg or opposite side that is furthest from the reference angle)

The hypotenuse is d. The hypotenuse is always the longest side. The longest side is always opposite the largest angle of a triangle.

We will use the cosine ratio as it is the ratio of adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

cos(56) = 26.5/d

d*cos(56) = 26.5

d = 26.5/cos(56)

d = 47.3897287242421

You use your calculator for the last step shown above. Make sure your calculator is in degree mode. Round that value however you need to.

Here is the formula of sin cos tan :

sin x = opposite/hypotenuse

cos x = adjacent / hypotenuse

tan x = opposite / adjacent

d = hypotenuse

x = the angle known in your pic

like example if in your picture:

adjacent = 26.5

if want to find the d

cos x = adjacent / hypotenuse

cos 56 = 26.5 / d

d = 26.5 : cos(56)

d = 47.390 (3 significant figures)

and if want to find the opposite

tan x = opposite/adjacent

tan 56 = opposite/ 26.5

opposite = 26.5 × tan(56)

opposite = 39.288

-> Sorry if im wrong

Graph y=-7 by plotting y-intercept (0,-7) and all points have y=-7, it is a horizontal line.

What is graph ?

A graph is a mathematical structure used to represent relationships between objects. In a graph, objects are represented by vertices (or nodes) and relationships are represented by edges (or arcs). Graphs can be used to model a wide variety of real-world systems, including networks of roads, social networks, and the internet.

To graph y = -7, you can start by plotting the y-intercept, which is the point at which the line crosses the y-axis. In this case, the y-intercept is (0, -7) because when x = 0, y = -7.

To graph the line, you can then pick any other x-value, substitute it into the equation, and find the corresponding y-value. For example, if you pick x = 1, then y = -7. So, you can plot the point (1,-7) on the graph.

You can repeat this process with different x-values and plot more points on the graph.

Graph y=-7 by plotting y-intercept (0,-7) and all points have y=-7, it is a horizontal line.

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A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.

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

–6 ≤ 4x + 6 < 14

Subtract 6 from all sides

So, we have

–12 ≤ 4x < 8

Divide through by 4

–3 ≤ x < 2

The number line that represents this is (d)

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Rounding to the nearest whole value, we get the estimated number of observations above 118 as 2940.

To determine the number of observations expected to be below a certain value using the 68-95-99.7 Rule, we need to find the area under the normal distribution curve up to that value.

For the first scenario:

Mean (μ) = 162

Standard deviation (σ) = 11

Value to evaluate (x) = 195

We want to find the area under the curve to the left of x = 195. This corresponds to the cumulative probability of a value being less than 195 in a normal distribution.

Using a standard normal distribution table or a calculator, we can find that the cumulative probability for x = 195 is approximately 0.961. This means that about 96.1% of the observations are expected to be below 195.

To find the number of observations, we multiply the cumulative probability by the total number of observations:

Number of observations = 0.961 * 2400 = 2306.4

Rounding to the nearest single observation, we get the estimated number of observations below 195 as 2306.

For the second scenario:

Mean (μ) = 137

Standard deviation (σ) = 19

Value to evaluate (x) = 118

We want to find the area under the curve to the right of x = 118. This corresponds to the cumulative probability of a value being greater than 118 in a normal distribution.

Using the same approach, we can find that the cumulative probability for x = 118 is approximately 0.735. This means that about 73.5% of the observations are expected to be above 118.

To find the number of observations, we multiply the cumulative probability by the total number of observations:

Number of observations = 0.735 * 4000 = 2940

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1!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The probability of picking blue ball by Liz and Mike are equal =1/3

Probability is a branch of mathematics that deals with the study of random events or experiments. It is concerned with quantifying the likelihood or chance of a particular event occurring, given certain assumptions or conditions.

The probability of an event is typically represented as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain. For example, if you flip a fair coin, the probability of getting heads is 0.5, and the probability of getting tails is also 0.5.

There are different methods for calculating probabilities, depending on the nature of the event or experiment being considered. Some of the most commonly used methods include the classical probability method, the empirical probability method, and the subjective probability method.

Probability has many applications in various fields, including statistics, finance, engineering, and science. It is used to model and analyze complex systems and to make predictions and decisions based on uncertain information.

Given : X contains 9 blue balls and 18 red balls.

Y contains 7 blue balls and 14 red balls.

Probability of picking blue ball is 9/9+18

=9/27=1/3

Now Mike pick ball from bag Y one ball not affect these pick ball

so, 7/7+14=7/21=1/3

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A statistical technique called linear regression is used to determine the relationship between two variables, one of which is the dependent variable and the other the independent variable.

The average number of runs a pitcher gives up per inning in this situation is the dependent variable, and the average number of strikeouts per inning and the average number of home runs per inning are the independent variables. Based on the values of the independent variables, the developed regression equations can be used to forecast the value of the dependent variable.

a. We need to perform a simple linear regression to create an estimated regression equation that can be used to predict the average number of runs given up per inning given the average number of strikeouts per inning pitched. The equation will be of the form Y = a + bX, where Y represents the number of runs given up per inning and X represents the number of strikeouts per inning. The estimated regression equation is Y = 0.52 + 0.35X.

b. We need to perform a simple linear regression to create an estimated regression equation that can be used to predict the average number of runs given up per inning given the average number of home runs per inning pitched. The equation will be of the form Y = a + bX, where Y represents the number of runs given up per inning and X represents the number of home runs per inning. The estimated regression equation is Y = 0.63 + 1.70X.

c. We need to perform a multiple linear regression in order to create an estimated regression equation that can be used to predict the average number of runs given up per inning given the average number of strikeouts per inning pitched and the average number of home runs per inning pitched. The equation will be of the form Y = a + b1X1 + b2X2, where Y represents the number of runs given up per inning, X1 represents the number of strikeouts per inning, and X2 represents the number of home runs per inning. The estimated regression equation is Y = -0.12 + 0.44X1 + 1.78X2.

d. Using the estimated regression equation developed in part (c), we can predict the average number of runs given up per inning for A. J. Burnett as follows:

Y = -0.12 + 0.44(0.91) + 1.78(0.16)

Y = 0.43

Therefore, the predicted average number of runs given up per inning for A. J. Burnett is 0.43.

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Given statement solution is :- The increasing functions in order from least to greatest rate of change:

y = -x - 3

y = x + 10

y = x - 10

y = -x + 1/x

y = 2/x - 41

To find the increasing functions, we need to determine which functions have a positive rate of change.

Rate of change is represented by the derivative of the function with respect to the independent variable (in this case, x). If the derivative is positive, it indicates an increasing function.

Let's determine the derivatives of the given functions:

y = x + 10

Y's derivative in relation to x is 1. Since it is a constant, the rate of change is 1.

y = -x - 3

-1 is y's derivative with regard to x. The negative sign signifies a declining function.

y = -x + 1/x

We must apply the quotient rule in order to determine this function's derivative. The derivative is given by:

\(dy/dx = [(-1)(x) - (-1)(1)] / (x^2)\)

Simplifying, we get: \(dy/dx = (-x + 1) / (x^2)\)

y = x - 10

Y's derivative in relation to x is 1. Since it is a constant, the rate of change is 1.

y = 2/x - 41

We must apply the quotient rule in order to determine this function's derivative. The derivative is given by:

dy/dx = \([(2)(1) - (2/x)(0)] / (x^2)\)

Simplifying, we get: \(dy/dx = 2 / (x^2)\)

y = z = 2

This equation is not in terms of x and doesn't represent a function, so we can't determine its rate of change.

Let's now arrange the growing functions in ascending order of the change-rates:

y = -x - 3

y = x + 10

y = x - 10

y = -x + 1/x

y = 2/x - 41

Note: The "<" symbols in your original question are not necessary to determine the increasing functions or their order of rate of change.

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The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Answer:

7

Step-by-step explanation:

(4, -8) and (-1, 3), formula used will be \(y_{1}-y_{2}\)/\(x_{1} -x_{2}\) so:

-1 - (-8)/3 - 4 = -1 + 8/1 = 7/1 = 7

i edited my answer a few times cause i read the points wrongly so just know that this is the correct one.

Answer:

In a triangle LMN, the measure of angle M is 15

Step-by-step explanation:

The value of c, if In triangle LMN, m ∠ L = (2c + 51)°. If the exterior angle to ∠ L measures 83° is 23, so option B is correct.

Triangles are basic three-sided polygons with three internal angles. It is one of the basic geometric shapes, symbolized by the symbol, and has three vertex connections.

Given data:

m ∠ L = (2c + 51)°,

∠ L = 83°

Calculate the remaining measure of the angle,

S = 180 - 83

S = 97°

Calculate the value of c as shown below,

97° = 2c + 51

2c = 97 - 51

c = 46 / 2

c = 23

Therefore, the value of c, if In triangle LMN, m ∠ L = (2c + 51)°. If the exterior angle to ∠ L measures 83° is 23.

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The equation of line in slope intercept form is y=(7/4)x-13 and the y-intercept is b=-13.

Given that a line is passes through the point (4,-6) and the slope is m=7/4.

We want a line that passes through (4,-6) and the slope is m=7/4.

To find the equation of a line we want to write the equation in the form y=mx+b where m is the slope and b is the y-intercept.

Given that the m=7/4.

The given point is (x₁,y₁)=(4,-6).

Now, we will write our equation by using the point-slope form. The point-slope form is:

y-y₁=m(x-x₁)

Now, we will substitute the values to find new equation, we get

y-(-6)=(7/4)(x-4)

y+6=(7/4)(x-4)

Further, we will apply the distributive property a(b+c)=ab+ac, we get

y+6=(7/4)x-(7/4)4

y+6=(7/4)x-7

Now, we will subtract 6 from both sides, we get

y+6-6=(7/4)x-7-6

y=(7/4)x-13

Hence, the equation of line in slope intercept form where a line that passes through (4,-6) and the slope m=7/4 is y=(7/4)x-13 and the y-intercept form is b=-13.

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Answer:

The last year value of the house will be $230,000.

Step-by-step explanation:

GIVEN: Decrease in house price = 20%

            Current house price = $184,000

TO FIND: Value of the house last year

SOLUTION:

If the value of the house decreased by 20% during last year, this means the value of the house this year is 80% of last year's value.

Let the value of the house last year be 'x'.

If the value of the house today is  $184,000, then:

                           \(80/100 * x = 184,000\\\\0.8x = 184,000\\\\x = 184,000/0.8\\\\x = 230,000\)

Therefore, the last year value of the house will be $230,000.

The upper control limit (UCL) with three-sigma limits for the mean of software upgrade time in minutes can be determined by multiplying the standard deviation by three and adding it to the mean. However, since the mean and standard deviation are not provided in the question, a specific numerical answer cannot be given.

In statistical process control, the three-sigma control limits are commonly used to establish the range within which a process is considered to be in control. The three-sigma limits represent a statistical measure that encompasses approximately 99.7% of the data if the process is stable and normally distributed.

By calculating the UCL using the mean and standard deviation, organizations can set an upper boundary that helps monitor the software upgrade time. If any data point exceeds the UCL, it suggests a potential variation or issue in the process, warranting further investigation and corrective actions to ensure the software upgrade time remains within acceptable limits. The UCL serves as a reference point for identifying significant deviations from the expected mean and facilitates continuous process improvement in software upgrade operations.

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An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Zoe walks from her house to a bus stop that is 460 yards away. The varying distances would depend on where Zoe begins her walk. if she starts closer to the bus stop, she would walk a shorter distance.

The varying distances would refer to the different distances Zoe might walk on different occasions. For example, she might take different routes or make detours, causing the actual distance she walks to vary.

However, without more information about Zoe's specific routes or circumstances, it is not possible to provide more detailed information about the varying distances.

However, if she starts closer to the bus stop, she would walk a shorter distance.

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Answer:

the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

-3[-4(3-10)-12]/-2(-1)

-3[-4(-7)-12]/2

-3[28-12]/2

-3[16]/2

-48/2

-24

Hopes this helps

Each group of four binary digits can be represented by a single hexadecimal digit. The hexadecimal notation of (0111 0111 0111 0111)₂ is (7777)₁₆.

To convert the binary expansion of (0111 0111 0111 0111)2 to hexadecimal, we first group the digits into groups of four starting from the right:
(0111 0111 0111 0111)2 = (7 7 7 7)16
Each group of four binary digits can be represented by a single hexadecimal digit. In this case, each group of four binary digits represents the hexadecimal digit 7. Therefore, the hexadecimal notation of (0111 0111 0111 0111)2 is (7777)16.
To convert the binary expansion (0111 0111 0111 0111)₂ to a hexadecimal expansion, you can group the binary digits into sets of four starting from the right and then convert each group to its corresponding hexadecimal value. Here's the process:
1. Group the binary digits: (0111) (0111) (0111) (0111)
2. Convert each group to hexadecimal:
  - (0111)₂ = 7₁₆
  - (0111)₂ = 7₁₆
  - (0111)₂ = 7₁₆
  - (0111)₂ = 7₁₆
Your answer: The hexadecimal notation of (0111 0111 0111 0111)₂ is (7777)₁₆.

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Situational factors and analysis factors are both sources of error in measurement.

Situational and analysis factors are both important considerations in measurement, and efforts should be made to minimize their effects on the accuracy and reliability of the results. This can be achieved by using clear and standardized measurement instruments, providing clear instructions and definitions, and ensuring consistent and accurate scoring and statistical analysis techniques.

Situational factors refer to circumstances or conditions that can affect the accuracy and consistency of measurement. In the case of lack of clarity of the scale, including the instructions or the items themselves, this can lead to ambiguity and confusion among respondents, resulting in inconsistent or inaccurate responses.

For example, if the scale asks respondents to rate their satisfaction with a product on a scale of 1 to 5, but does not provide clear definitions or examples of what each number means, respondents may interpret the scale differently and provide inconsistent responses.

Analysis factors, on the other hand, refer to the methods and techniques used to analyze and interpret the data collected from the measurement. Differences in scoring and statistical analysis can introduce error and affect the validity and reliability of the results.

For instance, if different analysts use different methods or criteria for scoring responses, this can lead to different outcomes and interpretations of the data. Similarly, if statistical analysis is not done correctly or is based on flawed assumptions, the results may be misleading or inaccurate.

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The most important cell in your body is the red blood cell.

Cells are the fundamental components of life. Every item you observe contains cells. Organelles are structures found inside cells that allow the cell to function.

Red blood cells are the most frequent form of blood cell and the vertebrate's primary mechanism of distributing oxygen to bodily tissues via blood flow through the circulatory system.

Blood cell activity is essential to life, from delivering oxygen throughout the body to battling infection. Bone marrow is responsible for the production of blood cells. Red blood cells, white blood cells, and platelets are the three major types of blood cells.

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Answer:

\(t = 4.52\)

Step-by-step explanation:

Given

\(f(t) = 100-4.9t^2\)

Required

Time it hits the ground

When the object hits the ground, the height is 0.

In other words:

f(t) = 0

So, we have:

\(0= 100-4.9t^2\)

Collect like terms

\(4.9t^2 = 100\)

Divide through by 4.9

\(t^2 = \frac{100}{4.9}\)

\(t^2 = 20.4081632653\)

Take positive square roots of both sides

\(t = \sqrt{20.4081632653}\)

\(t = 4.51753951453\)

\(t = 4.52\)

Hence, the ball hits the ground after 4.52 seconds

Answer:

b = 6

Step-by-step explanation:

step one: Simplify 10^2 to 100

Step two: Simplify 8^2 to 64

Step three: Subtract 64 from both sides

Step four: Simplify 100 - 64 to 36

Step Five: Take the square root of both sides

Step Six: Since 6*6=36, the square root of 36 is 6

Step Seven: Switch sides b = positive 6

I hoped this helped