Assume a radioactive material decays continuously at a rate of k. If 2000
grams decayed to 1200 grams in one year, what is the value of k? Round
to the nearest hundredth.
Be sure to explain your process and justify your results.

Answer:

the red marbles

Step-by-step explination:

Look below for work.

The shadow price for the labor time constraint will remain at -6, regardless of whether the right-hand-side decreases to 400 or not. So the answer is: It will remain at -6.

The labor time constraint has a shadow price of -6, which means that for every unit decrease in the right-hand-side (R.H. Side) of this constraint, the optimal objective function value will decrease by $6.

If the right-hand side for this constraint decreases to 400, the allowable decrease in the right-hand side is 300 (i.e., 700 - 400).

The allowable increase on the right-hand side is also 300. Since the constraint has been solved to optimality, any change in the right-hand side within the allowable range will not change the optimal solution.

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Answer:

is the clean area the desired one (I assume, yes)?

then y <= 3x + 5

if the dotted area is the desired area, then

y >= 3x + 5

Step-by-step explanation:

the factor of x is the slope of the line expressed as y/x ratio.

clearly, the line shows that for x changing by 1 unit y changes by 3 units. so, the slope is 3/1.

that leaves us only with the 2 middle options.

for "y <=" the desired values of y for a given x must be on the line (equal) or below (smaller than the value of the line equation). that is true, if the desired area is the clear one (no dots).

so, "y >=" is true, if the dotted area is desired.

A spherical balloon is being filled with air at the constant rate of 8 cm³/sec How fast is the radius increasing when the radius is 6 cm?

Rate of change of radius of sphere 0.0176 cm/sec.

A spherical balloon is filled with air at the constant rate of 8 cm³/sec.

Formula used: Volume of sphere = (4/3)πr³

Differentiating both sides with respect to time 't', we get: dV/dt = 4πr²dr/dt, where dV/dt is the rate of change of volume of a sphere, and dr/dt is the rate of change of radius of the sphere.

We know that the radius of the balloon is increasing at the constant rate of 8 cm³/sec. When the radius is 6 cm, then we can find the rate of change of the volume of the sphere at this instant. Using the formula of volume of a sphere, we get: V = (4/3)πr³

Substitute r = 6 cm, we get: V = (4/3)π(6)³ => V = 288π cm³ Differentiating both sides with respect to time 't', we get: dV/dt = 4πr²dr/dt, where dV/dt is the rate of change of volume of sphere, and dr/dt is the rate of change of radius of the sphere. Substitute dV/dt = 8 cm³/sec, and r = 6 cm,

we get:8 = 4π(6)²(dr/dt)

=>dr/dt = 8/144π

=>dr/dt = 1/(18π) cm/sec

Therefore, the radius is increasing at the rate of 1/(18π) cm/sec when the radius is 6 cm.

Rate of change of radius of sphere = 1/(18π) cm/sec= 0.0176 cm/sec.

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According to the values in the table, no, x and y does not have a proportional relationship. Therefore, the correct answer option is: B. no.

In Mathematics, a proportional relationship is a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the relationship between the x-values and y-values in this table as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 93/1.1 ≠ 95/1.3 ≠ 98/1.6 ≠ 100/1.8

Since the constant of proportionality (k) for the relationship between the x-values and y-values are different, we can logically deduce that this is not a proportional relationship.

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The amount still owed on the car after the 24th payment is $15,213.28.

First, let's find the monthly interest rate. We can calculate this by dividing the nominal annual interest rate by the number of compounding periods in a year. Here, we have monthly compounding, so:

Monthly interest rate = Nominal annual interest rate ÷ 12

= 7% ÷ 12

= 0.00583 (rounded to 5 decimal places)

Next, let's calculate the loan amount using the present value formula:

PV = PMT × [1 - (1 + r)^(-n) ÷ r]

where PV = present value (loan amount), PMT = monthly payment, r = monthly interest rate, and n = total number of payments.

PV = $400 × [1 - (1 + 0.00583)^(-72) ÷ 0.00583]

= $23,122.52 (rounded to 2 decimal places)

To find out how much is still owed on the car after the 24th payment, we can use the remaining balance formula:

R = PV × (1 + r)^n - PMT × [(1 + r)^n - 1 ÷ r]

where R = remaining balance, PV = present value (loan amount), r = monthly interest rate, n = number of payments made, and PMT = monthly payment.

R = $23,122.52 × (1 + 0.00583)^24 - $400 × [(1 + 0.00583)^24 - 1 ÷ 0.00583]

R = $15,213.28 (rounded to 2 decimal places)

Therefore, the amount still owed on the car after the 24th payment is $15,213.28.

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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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Answer:

15% of $67.50 is $10.125 lets round it up to $10.13

Tip: $10.13

Total meal cost: $77.63

Brainly plz :))

Answer:

the waiter 10.13

your parents will pay 77.63

Step-by-step explanation:

67. 50 x 0.15 = 10.13

67.50 + 10.13 = 77.63

hope this helps

Step-by-step explanation:

1. 5 divided 4 times of a number n.

2. 3 subtracted by a number B gives 13.

3. 39 added by a number m divided by 7. (not sure)

4. m divided by 90 gives 15.

5. 32 subtracted by two times of a number N.

Answer: 300 feet

Step-by-step explanation:

you see according too my outstanding intelligence its 300 due to me owning the building

Step-by-step explanation:

how tall is the building with 9 floors now ?

or how high or tall is ombre floor ?

you left out crucial information.

I can give you only a relative answer assuming that the autumnal floors would have the same heir as the existing ones :

the existing building with 9 floors has a ratio of 9/9 floors, so it's size is 9/9 = 1/1 to its current size.

the extended building with 15 floors would have a size of 15/9 = 5/3 times its current size.

Answer:

(-5, 1)

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

\( - x - 4 = \frac{3}{5} x + 4\)

Solve − x −4 =35x + 4 for x.

\(x = - 5\)

Evaluate y when x = −5.

\(y = 1\)

hence, the system of this equation is (-5, 1).

Answer: x=22

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 9/2 to both sides.

Step 3: Multiply both sides by 4/3.

Answer:

B

Step-by-step explanation:

The answer is B no questions GO GO GO  SUBTRACTION SIGN MEANS THEY OWE MONEY

Answer:

x = - 2, x = 12

Step-by-step explanation:

Given

x² - 9x = x + 24 ( subtract x + 24 from both sides )

x² - 10x - 24 = 0 ← in standard form

(x + 2)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 12 = 0 ⇒ x = 12

This question is incomplete

Complete Question

A baker uses 5.5 Ibs of flour daily

The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?

Answer:

51.3 loaves of bread

Step-by-step explanation:

Converting 5.5 Ibs to oz (ounces)

1 Ibs =>12 oz

5.5 Ibs => x

Cross Multiply

12 × 5.5 => 88 oz

1 loaf of bread =>12 oz

Hence, in 1 day

12 oz =>1 loaf of bread

88 oz => x

x =>88 oz/ 12 oz

x => 7.3333333333 loaves of bread

Hence, he can make 7.3333333333 loaves of bread in 1 day

Hence, in 7 days

1 day => 7.3333333333 loaves

7 days => x

x => 7 × 7.3333333333 loaves

x => 51.333333333 loaves of bread

Approximately => 51.3 loaves of bread

The length of the shorter side is approximately 23.66 inches, and the length of the longer side is twice as long, or approximately 47.32 inches.

To find the length of the longest side, which is the hypotenuse, we're also given that it's 30 inches long.

Now, let's use what we know about the relationships between the sides of a 30-60 degree right triangle to find the length of the other two sides.

First, we know that the side opposite the 60 degree angle is always twice as long as the side opposite the 30 degree angle. So let's call the length of the shorter side (opposite the 30 degree angle) "x". Then the length of the longer side (opposite the 60 degree angle) is 2x.

Next, we can use the Pythagorean theorem to relate the lengths of the sides. In a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. So we have:

30² = x² + (2x)²

Simplifying this equation, we get:

900 = 5x²

Dividing both sides by 5, we get:

x² = 180

Taking the square root of both sides, we get:

x = √180

Now, we know that the perimeter of the triangle is the sum of the lengths of all three sides. So we have:

70.98 = x + 2x + 30

Simplifying this equation, we get:

100.98 = 3x + 30

Subtracting 30 from both sides, we get:

70.98 = 3x

Dividing both sides by 3, we get:

x = 23.66

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The required answer is  e. Approximately 5% of people have BMIs that are classified as overweight. - This statement is true as less than 5% of people have BMIs that are classified as overweight.

Body mass index (BMI) is the ratio of a person's body weight to volume. Extreme high values are associated with obesity, and extreme low values are associated with malnutrition. The Centers for Disease Control (CDC) uses percentiles to categorize the weight status of individuals. The CDC uses the table below to classify children from ages 2 to 20.

The true statement among the following statements is:Approximately 5% of people have BMIs that are classified as overweight.

We have the following options:

a. Approximately 85% of people have BMIs that are classified as overweight. - This statement is false as only 18.5% to 24.9% of people have BMIs that are classified as healthy weight. Thus, less than 85% of people have BMIs that are classified as overweight.

b. Approximately 10% of people have BMIs that are classified as overweight. - This statement is false as more than 30% of people have BMIs that are classified as overweight.

c. More than twice as many people are classified as obese than as underweight. - This statement may be true, but it cannot be determined from the information given in the table.

d. Approximately 95% of people have BMIs  that are classified as overweight. - This statement is false as less than 95% of people have BMIs that are classified as overweight.

e. Approximately 5% of people have BMIs that are classified as overweight. - This statement is true as less than 5% of people have BMIs that are classified as overweight.

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Answer:

170

Step-by-step explanation:

multiply base (radius squared * pi) times height

V = b * h

V = r^2 * pi * 6

V = 3^2  * pi * 6

V = 9 * pi * 6

V = 54 * pi

V = 169.64

*since 6 is greater than 5, round up

V = 170

Therefore, in either partial derivatives, we have u = 0 or v = 0.

The given information implies that two vectors u and v satisfy:

u * v = 0, where * denotes the dot product between vectors.

u X v = 0, where X denotes the cross product between vectors.

From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.

From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:

|u X v| = |u| * |v| * sin(θ)

= 0

Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).

In the case where u and v are parallel, we have:

u * v = |u| * |v| * cos(θ)

= |u|²

= 0

This implies that |u| = 0, which means that u = 0.

In the case where u and v are anti-parallel, we have:

u * v = |u| * |v| * cos(θ)

= -|u|²

= 0

This again implies that |u| = 0, which means that u = 0.

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The point estimate of the population proportion defective will be 0.0945

The formula for calculating the point estimate is expressed as;

p = x/n,

where p is the proportion of successes in the sample

n is the total sample

Given the following

n = 550 items

x = 52

Substitute

p = 52/550

p = 0.0945

Hence the point estimate of the population proportion defective will be 0.0945

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Where m is a positive integer and a, b, c, and d are integers, the statement that true is option A and C.

Option A: (a + b) mod m is equal to (a mod m) + (b mod m)-True.

The statement is true, it follows the distributive property of modular arithmetic.

Option B: (a - b) mod m is equal to (a mod m) - (b mod m)-False.

The statement is false.

In modular arithmetic, subtraction is defined as follows:

a - b ≡ a + (m - b) mod m.

So, (a - b) mod m is equal to (a + (m - b)) mod m.

Option C: (ab) mod m is equal to [(a mod m)(b mod m)] mod m-True.

The statement is true, it follows the distributive property of modular arithmetic.

Option D: (a/b) mod m is equal to [(a mod m)/(b mod m)] mod m-False.

The statement is false. Modular division is not always defined.

Therefore, (a/b) mod m does not make sense, and we cannot compare it with [(a mod m)/(b mod m)] mod m.

The correct options are A and C.

Therefore, the answer is:

Option A: (a + b) mod m is equal to (a mod m) + (b mod m)

Option C: (ab) mod m is equal to [(a mod m)(b mod m)] mod m.

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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:

A

i will go with a. hope to help u

It will take time Alex 4.25 weeks to work 51 hours, as 51 hours can be broken down into 4.25 weeks of 12-hour work weeks.

1. You are asked to find out how many weeks it would take Alex to work 51 hours.

2. A good plan for solving the problem is to divide the number of hours Alex needs to work (51) by the number of hours he works each day (3) and each week (12). This will give you the total number of weeks it will take Alex to work 51 hours.

3. Yes, the answer makes sense. Dividing 51 by 12 gives the total number of weeks it will take Alex to work 51 hours (4.25 weeks). This is because 51 hours can be broken down into 4.25 weeks of 12-hour work weeks.

It will take time Alex 4.25 weeks to work 51 hours, as 51 hours can be broken down into 4.25 weeks of 12-hour work weeks.

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Answer:

y=2/3 x+10

Evidence:

Picture

Hope it helped!

The location where the paths cross is (5, 12)

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

y = -x² + 6x + 7

y = x+ 7

Next, we plot the graph of the functions y = -x² + 6x + 7 and y = x+ 7

This is represented on the attached graph

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (5, 12)

Hence, the location is (5, 12)

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Answer:

£2360

Step-by-step explanation:

9% of 2000=180x2=360

Answer:

\(1386 in^2\)

r: radius

Circumference:  \(2\pi r\)

Area: \(\pi r^2\\\)

In this case, we are using 22/7 as an estimation for pi.

Plug into the area formula.

22/7 * (21)^2

22/7 * 441

\(1386 in^2\)

An explanation of an event that is based on repeated observations and experiments is a scientific theory

A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.

We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts

Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.

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Answer: 0.25 pound of beef are needed to make 80 meals.

Step-by-step explanation:

Given : A recipe for beef fajitas uses 5 pounds of beef to make 20 meals.

Then the of beef required for 1 mesal = ( 5 pounds) ÷ 20

= \(\dfrac{5}{20}\) pound

\(=\dfrac{1}{4} [\text{Divide numerator and denominator}]\)

=0.25 pound

Hence, 0.25 pound of beef are needed to make 80 meals.