Indicate the answer choice that best completes the statement or answers the question.

The unit that is most appropriate for the time at which the number of weeks is 120 is given as follows:

Week.

The general format for an exponential function is given as follows:

\(y = a(b)^{\frac{x}{n}}\)

The parameters for the exponential function are defined as follows:

The number of weeds in my yard doubles every 3 weeks, and the initial number of weeks is of 80, hence the values of the parameters are given as follows:

a = 80, b = 2, n = 3.

As n = 3, we have that the unit of the output variable is of weeks, hence weeks is the appropriate measure in this problem.

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Answer:

32 pieces of pipe

Step-by-step explanation:

24÷3/4=32

The period of the function y = tan(1.5θ) is 2π/3. The two asymptotes for the function y = tan(1.5θ) occur at θ = (2n + 1)(π/2), where n is an integer.

The function y = tan(1.5θ) is a tangent function with an argument of 1.5θ. To determine the period of the function, we need to consider the period of the tangent function, which is π.

The period of the tangent function is given by π/b, where b is the coefficient of θ in the argument. In this case, the coefficient is 1.5. Therefore, the period of the function y = tan(1.5θ) is π/1.5, which simplifies to 2π/3.

Regarding the asymptotes, the tangent function has asymptotes whenever the cosine function (which is the reciprocal of the tangent function) is equal to zero.

The cosine function is equal to zero at odd multiples of π/2.

For the function y = tan(1.5θ), the asymptotes will occur at θ = (2n + 1)(π/2), where n is an integer. In other words, the asymptotes occur at odd multiples of π/2.

Therefore, the two asymptotes for the function y = tan(1.5θ) will occur at θ = (2n + 1)(π/2), where n is an integer.

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the answer is x equal to 18

Answer:

\(2h^2\)

Step-by-step explanation:

=> \((10h^4+h^2)-(10h^4-h^2)\)

=> \(10h^4+h^2-10h^4+h^2\)

=> \(h^2+h^2\)

=> \(2h^2\)

EXPLANATION

Given the equation 4.5x = 45

Dividing both sides by 4.5:

x= 45/4.5

Simplifying:

x=10

The answer is x=10

Answer:

If the numbers are the same of the boxes that should help

Step-by-step explanation:

I would rather you ask someone in person. They could help you step by step.

We are asked to find the volume of the region outside the cylinder and inside the sphere. We need to sketch the region, express the volume as an triple integral in cylindrical coordinates, and evaluate integral

(a) To sketch the region E, we visualize a cylinder centered at the origin with radius 1 in the xy-plane and a sphere centered at the origin with radius 2. The region E is the space between the cylinder and the sphere, extending from the xy-plane upwards.

(b) In cylindrical coordinates, the equation of the cylinder becomes ρ² = 1, and the equation of the sphere becomes ρ² + z² = 4. To express the volume of E as an iterated triple integral, we integrate ρ with limits from 0 to 1, φ with limits from 0 to 2π, and z with limits from -√(4-ρ²) to √(4-ρ²).

(c) To evaluate the integral obtained in Part (b), we integrate ρ from 0 to 1, φ from 0 to 2π, and z from -√(4-ρ²) to √(4-ρ²). The specific steps and calculations depend on the form of the integrand and the chosen method of integration.

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Answer:

35 :)

Step-by-step explanation:

Answer:

35

7x5=35

You need to know your multiples.

7, 14, 21, 28, 35, 42, 49, 56, and so on.......

Using the combination formula, it is found that 4845 combinations of four students are possible.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem, four students are taken from a set of 20, hence the number of combinations is given by:

\(C_{20,4} = \frac{20!}{4!16!} = 4845\)

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The probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660

This problem can be solved by permutations and combinations. This can also be solved using binomial probability experiment.

Let, then we could reasonably assume that follows a binomial distribution.

Given P = 0.01 and n = 29

P(x) = nCx.px.(1-p)^(n-x)

nCx = n! [x!-(n-x)!]

P = P(X<=1).

X<=1, if X = 0 and X = 1,

P(0) + P(1)

P(0) = 1.(0.01)^(0).(0.99)^(29) = 0.74717

P(1) = 29C1.(0.01)^(1).(1-0.01)^(29-1)

P(1) = 0.21887

P = P(0) + P(1)

P = 0.74717+0.21887 = 0.9660

So, therefore the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660

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Answer:H

Step-by-step explanation:

Answer:

y= 3 2/4

Step-by-step explanation:

2 1/4 + 3 2/4 = 5 3/4

Answer: y= 7/2 = 3 1/2 = 3.5

Step-by-step explanation:

2 1/4 +y=5 3/4

Multiply both sides of the equation by 4.

2×4+1+4y=5×4+3

Multiply 2 and 4 to get 8.

8+1+4y=5×4+3

Add 8 and 1 to get 9.

9+4y=5×4+3

Multiply 5 and 4 to get 20.

9+4y=20+3

Add 20 and 3 to get 23.

9+4y=23

Subtract 9 from both sides.

4y=23−9

Subtract 9 from 23 to get 14.

4y=14

Divide both sides by 4.

y= 14/4

Reduce the fraction 14/4 to lowest terms by extracting and canceling out 2.

y= 7/2

​

Answer:

I think its SSS

Step-by-step explanation:

The numbers z could be 17

We are given that Five is added to a number and the answer is halved. The result is 11

Let the number be z

So,Five is added to a number and the answer is halved means;

5 + z = 11 x 2

Solving the equation we get;

5 + z = 11 x 2

z = 22 - 5

z = 17

Hence, the two numbers z is 17

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Answer:

b. 3ab

Step-by-step explanation:

You can isolate 3a which is a term with a coefficient of 3

The second term would be b

Answer:

$88 in total

Step-by-step explanation:

x = number of hours

y = total cost to rent the snowboard.

$25 is already guaranteed

25 + 15.75x = y

since it is 4 hours from 8:30 a.m. to 12:30 a.m. you put 4 into x.

25+15.75(4) = y

88 = y

Answer:-49

Step-by-step explanation:(10,1)= (x,y) so we can see that x=10 and y=1. Now you put them in the equation 1=b+5*10. Then you get 1=b+50 and you put 50 to the left side and it becomes negative. 1-50=b . Therefore b=-49

Answer:

Step-by-step explanation:

y = 5x + b ⇒ b = y - 5x

(10, 1)

b = 1 - 5(10) = 1 - 50 = - 49

b = - 49

When function f(x) = x^3 + 1 compared to its parent f(x) = x^3, it shifted left by 1 unit.

According to the question, given that

function f(x) = x³ + 1 , compare to the parent function f(x) = x³

when function f(x) = x³ + 1  comparing to the parent function f(x) = x³

then shifted left 1 unit.

graph of the function given below

In mathematics, some graphs are frequently seen. As a result, these initial, widespread functions—which also comprise graphs of quadratic functions, square roots, absolute values, cubic, and cube roots—are referred to as parent graphs.

quadratic function graphing

The utmost power or square to which an unknown number or variable can be raised is known as a quadratic function. The parent graph of all other quadratic functions is the function y=x2 or f(x) = x2, which is a quadratic function.

A parabola is the name for any quadratic function's graph. The fundamental shape of a parabola is uniform.

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Option D, 4x + 12y, is not an equivalent expression.

The given expression is x + 2x + 12y + x. To simplify the expression, we can combine the like terms.

The terms x and 2x are like terms because they have the same variable raised to the same power. Combining these two terms, we get 3x.

Similarly, the last x can also be combined with the previous terms, so the final expression becomes 3x + 12y. Therefore, option D, 4x + 12y, is not an equivalent expression.

Option A, x^2 + 2x + 12y, is not equivalent either because it contains a squared term that is not present in the original expression. Option B, 16xy, is not equivalent as it contains a product of two variables, which is not present in the original expression.

Option C, 2x^3 + 12y, is also not equivalent as it contains a term with a variable raised to a power greater than one, which is not present in the original expression.

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Answer:

Hypotenuse- Leg

Step-by-step explanation:

right tri with same leg and hyp

Answer:

28²

Step-by-step explanation:

Cut the rectangle into two parts to make it easier.

Add 3 and 3 to get 6, and then subtract from 8 to get the width of the vertical rectangle.

6 x 2 = 12, so that is the area of the vertical rectangle.

The horizontal rectangle is just 8 x 2, which is 16.

Add 12 and 16 together to get  28².

Penelope would pay a total interest of $3,630 at 5.5% simple interest over 6 years.

At 5.5% simple interest, the total interest Penelope would pay can be calculated using the formula: Total Interest = Principal x Rate x Time

Here, the principal (P) is $11,000, the rate (R) is 5.5% (or 0.055), and the time (T) is 6 years.

Total Interest = $11,000 x 0.055 x 6 = $3,630

Therefore, Penelope would pay a total interest of $3,630 at 5.5% simple interest over 6 years.

In simple interest, the interest remains constant over the loan period, and it is calculated only on the original principal. So, regardless of the time passed, the interest remains the same.

It's worth noting that this calculation assumes that the interest is paid annually and does not take compounding into account.

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Answer: (2, 0)

Step-by-step explanation:

The coordinate of the point is  (2/5, 8/5), that divides a line segment in ratio 2:3, that has end points R(-2, - 2) and S(4, 1).

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

The given points are R(-2, - 2) and S(4, 1).

To find the coordinates of point the is 2/3 of the way from point R to S

Use formula, coordinates of point,

{[(mx₂+nx₁)/(m+n)], [(my₂+ny₁)/(m+n)]}

The coordinate of the point that divide the line made by points  R(-2, - 2) and S(4, 1) in ratio 2:3,

= {[(2 × 4 + 3 × (- 2)) / (2 + 3)],[(2 × 1 + 3 × 2) / (2 + 3)]}

= [(8-6)/5, (2+6)/5]

= (2/5, 8/5)

The coordinate of the point that divides the line segment in ratio 2:3, that has end points R(-2, - 2) and S(4, 1) is  (2/5 , 8/5),

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Price (in $) Quantity

50                900

75                800

100                700

125                600

150               500

175                400

200           300

225              200

250               100

From the data, we observed that this data represents the demand schedule of a quantity.  And every time, increase of price by 25, decreases the quantity demanded by 100. So demand is the straight-line curve.

Equation of demand curve

\($P-50=\frac{75-50}{800-900}(Q-900) \Rightarrow 4 P-200=-Q+900 \Rightarrow 4 P=1100-Q \Rightarrow P=275-0.25 Q$\)

Given how we now teach supply and demand, having pricing on the horizontal axis makes more sense. The price is considered as the variable that determines the quantity supplied and quantity desired, and the dependent variable (which in this case is quantity) is commonly placed on the vertical axis.

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On solving the provided question, we can say that Probability of at least 2 of the 5 families have at least 2 kids with blue eyes   P =\(10/37 = 0.2703\)

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1.

The likelihood that two or more of the three kids have blue eyes is =  \((1/4 *1/4 * 1/4) + 3(1/4 * 1/4 * 3/4) = 10/64.\)

However, since it is assumed that at least one child has blue eyes, the possibility of their being no blue-eyed offspring is excluded. \((3/4 * 3/4 * 3/4) = 27/64\) is eliminated, leaving 37/64 as the remaining valid domain. As a consequence, the reciprocal of the remaining valid domain (64/37) must be multiplied by the result in (1) above (10/64). This results \(10/64 * 64/37 = 10/37.\)

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a) There is no correlation.

b) There is a correlation between commute time and city population.

c) The most likely conclusion from the information provided is that there is no correlation.

(a) The yoga instructor can conclude that there is no correlation between the amount of sleep and the number of calories burned during class. Based on the data collected, there is no observable relationship between these two variables.

(b) From the given information, we can conclude that there is a correlation between commute time and city population. As the city population increases, there is a longer commute time for drivers. However, this correlation does not imply causation. It is possible that other factors contribute to the longer commute time, and further studies would be required to establish a causal relationship.

(c) The most likely conclusion from the information provided is that there is no correlation between the start time and the amount of coffee consumed by employees. The data does not suggest any observable relationship between these two variables.

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