Choose an expression for the input-output table. Next, using a variable for the value in the input column, determine the next two values in the table if the table were followed.

Answer:

Question 4 is a statistical question aka answer D

Step-by-step explanation:

Correct on edge

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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Answer:

4+(-5)=-1. C was just irrelevant here

Answer:

replace the variables in the equations with the values they give you, and solve it. it'll give you -1

Step-by-step explanation:

a + b becomes

4 + (-5), which is 4-5

so the answer is -1

example:Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3-5 = 3-3 = 1/33 = 1/27.

Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 times 108 and the population of the world as 7 times 109, and determine that the world population is more than 20 times larger.

Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology

Understand the connections between proportional relationships, lines, and linear equations.

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Solve linear equations in one variable.

Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

Analyze and solve pairs of simultaneous linear equations.

Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

Solve real-world and mathematicl problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line throug

Answer:

ım not speak english because i'm turkish

The angle of the depression is equal to the angle of elevation for the same place.

The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.

The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.

The angle of depression is the angle between the horizontal line and the line of sight which is below the horizontal line.

Given information-

The distance between the ship and dock is 7 ft.

The one sailor is standing 10 ft above the dock level.

The another sailor is standing on the dock.

The angle of depression and elevation is shown in the image.

Here the angle made by the sailor who is 10 ft above from the dock level on the ship is,

\(\tan \theta=\dfrac{10}{7}\)

Find the value of angle as,

\(\theta=\tan ^-(\dfrac{10}{7})\\\theta=55\)

Hence the angle of depression is 55 degree.

As the angle of the depression is equal to the angle of depression for the same place.

Thus the angle of elevation is 55 degrees.

Hence, The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.

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The critical value of f(x) = 5x⁶ - 3x⁵ is x = 0.5 which is also its maxima point

f(x) = 5x⁶ - 3x⁵

differentiation w.r.t x

=> f'(x) = 30x⁵ - 15x⁴

Putting f'(x) = 0

30x⁵ - 15x⁴ = 0

=> x⁴(30x - 15) =0

=> 30x - 15 = 0

=> x = 15/30

=> x = 0.5 , 0

Critical number is 0.5 , 0

(B) To find where f(x) is increasing

for x > 0.5 ,

(30x-15) > 0 => x⁴(30x - 15) > 0

Therefore , f(x) is increasing at ( 0.5 , ∞ )

(C)To find where f(x) is decreasing

for x < 0.5 ,

(30x-15) < 0 => x⁴(30x - 15) < 0

Therefore , f(x) is decreasing at ( -∞ , 0.5)

(D) Differentiation f'(x) again w.r.t to x

f'(x) = 30x⁵ - 15x⁴

f"(X) = 150x⁴ - 60x³

Substituting critical values of x

=> 150(0.5)⁴ - 60(0.5)³

=>9.375 - 7.5

=> -1.875 < 0 , Hence , x = 0.5 is point of maxima

(E) no point of minima

Similarly , we can solve other parts

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Answer:

Step-by-step explanation:

f(g(x)) = 6x^3 + 4 dollars/hour

Answer:

£35 is the largest share

Step-by-step explanation:

7/9×£45=£35

Answer:

1,2,3,4,6,8,12,24,48.

Step-by-step explanation:

SO TO FIND THE FACTOR OF 48 YOU WILL NEED TO FIND TWO NUMBERS THAT CAN MULTIPLY EACH OTHER AND GIVE A PRODUCT OF 48

1×48=48(Any number multiplied by 1 is the number itself and 1 multiplied by 48 is 48 so it makes it a factor)

2×24=48(Here you can clearly see that when 2 is multiplied by 24 the product is 48 so 2 and 24 becomes a factor of 48)

3×16=48(So getting the product 48 by multiplying 3 and 16 3 and 16 becomes a factor of 48)

4×12=48(You can see that when you multiply 4 by 12 the product is 48 so 4 and 12 becomes a factor of 48)

5×?=48(You can't get any number to multiply by 5 to get 48 so the number 5 is not a factor of 48)

6×8=48(With this you can see that when 6 is multiplied by 8 its product is 48 so it becomes a factor of 48)

So The Factors We Got After We Multiplied The Two Numbers Are As Follows;

1 and 48

2 and 24

3 and 16

4 and 12

So the above numbers becomes the factor of 48

So the factors of 48 are: 1,2,3,4,6,8,12,24,48.

The Sharpe Ratio of stock A is 0.38.

The analyst predicts that stock A will have an expected return of 11.1% and a standard deviation of 21.7% next year. The risk-free rate is 3.2%. Calculate the Sharpe Ratio of stock A.

The Sharpe Ratio, we need to subtract the risk-free rate of return from the expected return of the stock and then divide the result by the standard deviation of the stock's returns.

Expected return of stock A = 11.1%

Standard deviation of stock A = 21.7%

Risk-free rate = 3.2%

First, let's calculate the excess return of stock A by subtracting the risk-free rate from the expected return:

Excess return = Expected return of stock A - Risk-free rate

             = 11.1% - 3.2%

             = 7.9%

Next, we can calculate the Sharpe Ratio by dividing the excess return by the standard deviation of stock A:

Sharpe Ratio = Excess return / Standard deviation of stock A

            = 7.9% / 21.7%

            ≈ 0.3636

Rounding the Sharpe Ratio to two decimal places, we get:

Sharpe Ratio ≈ 0.36

Therefore, the Sharpe Ratio of stock A is approximately 0.36.

The Sharpe Ratio is a measure of the excess return per unit of risk. It indicates how much return an investor is receiving for the amount of risk they are taking. A higher Sharpe Ratio implies a better risk-adjusted performance.

In this case, the analyst estimated that stock A will have an expected return of 11.1% next year. The risk-free rate is 3.2%. By subtracting the risk-free rate from the expected return, we calculate the excess return of stock A, which is 7.9%.

The standard deviation of stock A is estimated to be 21.7%. This measures the volatility or risk associated with the stock's returns.

Finally, we divide the excess return by the standard deviation to obtain the Sharpe Ratio. The result, approximately 0.36, indicates that for each unit of risk (as measured by the standard deviation), the investor can expect to earn an excess return of 0.36 units.

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Answer:

x = 5, RS = 20, RT = 1

Step-by-step explanation:

\(RS=2x+10\\ST=x-4\\RT=21\\\\RS+ST=RT\\2x+10+x-4=21\\3x+6=21\\3x=15\\x=5\\\\RS=2x+10\\RS=2(5)+10\\RS=10+10\\RS=20\\\\RT=x-4\\RT=5-4\\RT=1\)

Answer:

3.

Step-by-step explanation:

Square root is the opposite of power. Simplify:

\(\sqrt{3 * 3 } = \sqrt{3^2} = 3\)

3 is your answer.

~

Answer:

√{3×3}=√3²=±3 is your answer

A confidence level is a statistical term that refers to the probability that a population mean or proportion falls within a specific range of values, called the confidence interval. The confidence level is typically expressed as a percentage and is based on the level of certainty desired by the researcher or decision-maker.

A confidence interval is a range of values around a point estimate, such as a sample mean or proportion, that is likely to contain the true population parameter with a specified level of confidence. The confidence interval is constructed by taking the point estimate and adding and subtracting the margin of error, which is based on the standard error of the estimate and the desired level of confidence.

For example, if we estimate the mean height of a population to be 65 inches with a margin of error of 2 inches and a 95% confidence level, the confidence interval would be [63, 67]. This means that we are 95% confident that the true population mean height falls between 63 and 67 inches.

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Answer:

$44064

Step-by-step explanation:

Sunil earns $3672 every month. To find out his annual salary, we will need to multiply this monthly salary by the number of months in a year; 12.

3672 * 12 = $44064

The outcome is random if we know the possible values it can have, but not which particular value it takes.

Randomness refers to the property of a process or system where the outcome is uncertain, unpredictable, and not predetermined. In a random process, we know the set of possible outcomes.

But we cannot determine which particular outcome will occur until it actually happens. For example, when flipping a fair coin, the possible outcomes are heads or tails.

But we do not know which one will come up until the coin is flipped. Randomness is a fundamental concept in probability theory and is used to model and analyze a wide range of phenomena.

Including games of chance, genetics, and quantum mechanics.

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Since (3x - 32)° = (2x + 31)°      [Exterior Alternate Angles are equal]

⇒         3x - 2x =  31 + 32           [group like terms and simplify]

                    x = 63

                                                                                                image (tutor.com)

Answer:

(12 - 2 √22) ft

Step-by-step explanation:

by Pythagoras' Theorem:

in right-angled triangle, the square of the hypotenuse will equal the sum of the squares of the other two sides.

call the ladder L, call the distance of bottom of ladder from bottom of wall G, call the vertical height of the wall where the top of ladder meets it H.

we have L² = G² + H²

H² = L² - G²

   = 13² - 5²

   = 169 - 25

   = 144

H = √144 = 12.

the ladder is opposite the right-angle, ie it's the hypotenuse.

the ladder is 5ft from the wall.

if bottom of ladder is pulled out 4ft more, this reduces the height H.

the length of ladder L remains the same (can't compress a ladder)

G, the floor distance, is now 5 + 4 = 9ft

H² = L² - G²

    = 169 - 9²

    = 169 - 81

    = 88

H = √88

   = √(4 X 22)

   = √4 X √22

   = 2√22

The vertical height, H, was 12 ft.  it's now 2 √22

so it has moved down the wall (12 - 2 √22) ft.

Answer:

it's 10

Step-by-step explanation:

i searched it up.

Answer:

its 4000000000

Step-by-step explanation:

add numbers

Answer:

2000000000+2000000000= 4000000000

Answer:

Maria :>

Step-by-step explanation:

because Gross Income is what you take out of your net income. so if your taking something out of it, that means its less.

Answer:

10x^2+6x^4-14x^3 is the answer

Answer:

it's super easy

7¹⁵/7¹⁴

7¹⁵-¹⁴

7¹ or 7

Step-by-step explanation:

I know it helped you :)

Answer:

Percentage error in the student measurement = 2%

Step-by-step explanation:

Percentage error = (change in length) / actual length × 100

Approximate length =294 feet

Actual length = 300 feet

Percentage error = (change in length) / actual length × 100

= (300 feet - 294 feet) / 300 feet × 100

= 6/300 × 100

= 0.02 × 100

= 2%

Percentage error in the student measurement = 2%

Answer: z = 1.6

Step-by-step explanation:

1.8 = 3z -3

3z = 4.8

z = 4.8/3 = 1.6

Mr. Castinelli should receive 20 cartridges of the 2% lidocaine anesthetic solution, and the maximum number of cartridges allowed is 20, as it stays within the safe dosage limit of 748 mg.

To calculate the appropriate dose of a 2% lidocaine anesthetic solution for Mr. Castinelli, we need to consider his weight and the maximum safe dosage for lidocaine.

1. Determine the maximum safe dosage of lidocaine:
The maximum safe dosage for lidocaine is 4.4 mg per pound of body weight. Since Mr. Castinelli weighs 170 pounds, we'll multiply his weight by the maximum safe dosage:
170 pounds * 4.4 mg/pound = 748 mg

2. Calculate the amount of lidocaine in a cartridge:
A 2% lidocaine solution contains 20 mg of lidocaine per milliliter. Each cartridge usually has 1.8 mL, so we can calculate the amount of lidocaine in a single cartridge:
20 mg/mL * 1.8 mL = 36 mg

3. Determine the number of cartridges needed for Mr. Castinelli:
To find the number of cartridges needed, we'll divide the maximum safe dosage by the amount of lidocaine in a cartridge:
748 mg / 36 mg/cartridge = 20.8 cartridges

Since you cannot use a fraction of a cartridge, we'll round down to the nearest whole number, which is 20 cartridges.

In conclusion, Mr. Castinelli should receive 20 cartridges of the 2% lidocaine anesthetic solution, and the maximum number of cartridges allowed is 20, as it stays within the safe dosage limit of 748 mg.

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Answer:

thats a wierd qeystion

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

mark me as brainlist and be happy

Answer:

Step-by-step explanation:

4 (2s + 5t)

Answer:

6:5 or \(\frac{6}{5}\)

Step-by-step explanation:

\(\frac{90}{75}\)  Divide by \(\frac{15}{15}\)

\(\frac{6}{5}\) or 6:5

The expression that represents the perimeter of the rhombus is 2d√17

How to determine the expression that represents the perimeter of the rhombus?

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

The length of one diagonal of a rhombus is 4 times the length of the other diagonal.

This means that

Length 1 = 4 * Length 2

From the question, we have

Let d be the length of the shorter diagonal.

This means that

Length 1 = 4d

Length 2 = d

The perimeter of the rhombus from the diagonals is calculated as

P = 2√(Length 1² + Length 2²)

Substitute the known values in the above equation, so, we have the following representation

P = 2√((4d)² + d²)

Evaluate the exponents

P = 2√(16d² + d²)

So, we have

P = 2√(17d²)

Evaluate the exponents

P = 2d√17

Hence, the perimeter is 2d√17

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Let's solve your system by substitution.

4x−4y=8 and 5x−3y=18

Step: Solve 4x−4y=8 for x:

4x − 4y = 8

4x − 4y + 4y = 8 + 4y (Add 4y to both sides)

4x = 4y + 8

\(\frac{4x}{4} = \frac{4y + 8}{4}\)

x = y + 2

Step: Substitute y + 2 for x in 5x − 3y = 18:

5x − 3y = 18

5(y+2) − 3y = 18

2y + 10 = 18  (Simplify both sides of the equation)

2y + 10 + (−10) = 18 + (−10)  (Add -10 to both sides)

2y = 8

y = 4

Step: Substitute 4 for y in x = y + 2:

x = y + 2

x=4+2

x=6  (Simplify both sides of the equation)

Answer:

x = 6 and y =4