The net worth, w(t), is growing at a rate of w' (t) - 7500 - 5t dollars per year, where is time in years since 2015. The net worth in 2015 was $35,125 What is the net worth expected to be in 2020 (to the nearest dollar)?

The toothpicks she will use to make 90 squares in a straight line are 271. Squares can Kyra make if she has a box of 1,000 toothpicks are 333.

A total of 4 toothpicks are needed.

A total of 9 toothpicks are needed for further 3 squares.

So, the number of toothpicks needed to make 87 squares = \(\frac{87*9}{3}\)

                                                                                                  = 261

Hence, the number of toothpicks needed to make 90 squares = \(261+10\)

                                                                                                        = 271

The number of squares formed by 261 toothpicks = 87

So, the number of squares formed by 1000 toothpicks = \(\frac{996*87}{261} + 1\)

                                                                                            = 333

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Step-by-step explanation:

m<M=m<L=110°

m<N=m<O=x → 2x+2(110°)=360° → x=70°

m<E=180°-22°=158°

m<A=360°-(88°+22°+158°)= 92°

m<D=m<O=61°

m<S=m<G=x → 2x+2(61°)=360° → x=238/2 = 119°

Answer:

Step-by-step explanation:

1)∠L + ∠O = 180       {Co interior angles}

  110 + ∠O = 180

            ∠O = 180 - 110

            ∠O = 70

Base angles of isosceles trapezoid are equal

∠M = ∠L

∠M = 110

∠O = ∠N

∠N = 70

2) ∠c + ∠A = 180               {Co interior angles}

   88 + ∠A = 180

            ∠A = 180 -88

            ∠A = 92

∠D + ∠E = 180       {Co interior angles}

22 +∠E = 180

      ∠E = 180 - 22

      ∠E = 158

3)  ∠O + ∠G =  180           {Co interior angles}

   61 + ∠G = 180

         ∠G = 180 - 61

         ∠G = 119

Base angles of isosceles trapezoid are equal

∠D = ∠O

∠D = 61

∠S = ∠G

∠S = 119

(a) The domain of the vector function r(t) = (ln(5t), √t + 3, 1/(√8 - t)) is t > 0 and t < √8.(b) The domain of the vector function r(t) = (√t - 5, sin(7t), t²) is t ≥ 0.(c) The domain of the vector function r(t) = (1, 1/(3√(t² - 49))) is -∞ < t < -7 or 7 < t < +∞.

(a) For the vector function r(t) = (ln(5t), √t + 3, 1/(√8 - t)), the domain depends on the individual components. The natural logarithm function ln(x) is defined for x > 0, so ln(5t) is defined when 5t > 0, which gives t > 0. The square root function √x is defined for x ≥ 0, so √t + 3 is defined when t + 3 ≥ 0, which gives t ≥ -3. Finally, the expression 1/(√8 - t) is defined as long as the denominator is not zero. Hence, we need √8 - t ≠ 0, which gives t ≠ √8. Combining these conditions, the domain of r(t) is t > 0 and t < √8, which can be represented in interval notation as (0, √8).

(b) For the vector function r(t) = (√t - 5, sin(7t), t²), all three components have their own domain restrictions. The square root function √x is defined for x ≥ 0, so √t - 5 is defined when t - 5 ≥ 0, which gives t ≥ 5. The sine function sin(x) is defined for all real numbers, so sin(7t) is defined for all values of t. Finally, the function t² is defined for all real numbers. Combining these conditions, the domain of r(t) is t ≥ 5, which can be represented in interval notation as [5, +∞).

(c) For the vector function r(t) = (1, 1/(3√(t² - 49))), the only restriction comes from the expression 3√(t² - 49) in the denominator. The cube root function √(x) is defined for all real numbers, so 3√(t² - 49) is defined as long as the expression under the root is non-negative. Hence, we need t² - 49 ≥ 0, which gives t ≤ -7 or t ≥ 7. Combining these conditions, the domain of r(t) is -∞ < t < -7 or 7 < t < +∞, which can be represented in interval notation as (-∞, -7) ∪ (7, +∞).

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Given:

The sequence is 8, 10, 12.5, 15.625,...

To find:

The explicit formula for the given sequence.

Solution:

We have,

8, 10, 12.5, 15.625,...

Here, the first terms is 8.

\(\dfrac{10}{8}=1.25\)

\(\dfrac{12.5}{10}=1.25\)

\(\dfrac{15.625}{12.5}=1.25\)

The common ratio is 1.25. So, the given sequence is a geometric sequence.

The explicit formula for a geometric sequence is:

\(a_n=ar^{n-1}\)

Where, a is the first term and r is the common ratio.

The explicit formula for the given geometric sequence is:

\(a_n=8(1.25)^{n-1}\)

Therefore, the correct option is A.

Answer:

x=-3

Step-by-step explanation:

h(x)=7

-4x-5=7

-4x=12

x=-3

Answer: -3

Step-by-step explanation:

Answer:

x = -4 + 2 i or x = -4 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 8 x + 20 = 0

Subtract 20 from both sides:

x^2 + 8 x = -20

Add 16 to both sides:

x^2 + 8 x + 16 = -4

Write the left hand side as a square:

(x + 4)^2 = -4

Take the square root of both sides:

x + 4 = 2 i or x + 4 = -2 i

Subtract 4 from both sides:

x = -4 + 2 i or x + 4 = -2 i

Subtract 4 from both sides:

Answer: x = -4 + 2 i or x = -4 - 2 i

Answer:

am 50%

Step-by-step explanation:

I try my best

Answer:

10%

Step-by-step explanation:

The expected number of tosses needed to obtain hth in a row is h^2/2. For example, the expected number of tosses needed to obtain HTH in a row is 4^2/2 = 8.

Let E be the expected number of tosses needed to obtain hth in a row. We can approach this problem recursively by considering the expected number of additional tosses needed given the outcome of the previous toss.

If the previous toss was tails, then we are back to the starting point and need E tosses to obtain hth in a row.

If the previous toss was heads, then we need to obtain h-1 more heads in a row to complete the hth sequence. The expected number of additional tosses needed to obtain h-1 heads in a row is E, by the same reasoning as above. In addition, we need one more toss to obtain the next head in the hth sequence.

Thus, we have the recurrence relation E = 1/2(E+1) + 1/2(E+h), which simplifies to E = E/2 + (h/2) + 1/2. Solving for E, we obtain E = h^2/2.

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A function is said to be even if it satisfies the condition f(x) = f(-x) for all values of x in its domain. In other words, if you reflect the graph of an even function across the y-axis, you will get the same graph.

For example, the function f(x) = x^2 is an even function since f(x) = f(-x) for all values of x:

f(x) = x^2 f(-x) = (-x)^2 = x^2

On the other hand, a function is said to be odd if it satisfies the condition f(x) = -f(-x) for all values of x in its domain. In other words, if you reflect the graph of an odd function across the origin, you will get the same graph.

For example, the function f(x) = x^3 is an odd function since f(x) = -f(-x) for all values of x:

f(x) = x^3 f(-x) = (-x)^3 = -x^3 -f(-x) = -(-x)^3 = x^3

To determine whether a function is even or odd, you can check whether the function satisfies the conditions mentioned above. If f(x) = f(-x), the function is even, and if f(x) = -f(-x), the function is odd. If neither condition is satisfied, the function is neither even nor odd.

Answer:

In order to make the process easier, it is convenient to place the triangle on a coordinate grid such that vertex P is at the origin and PR lies on the x axis:

The variance of 'x'  for the continuous distribution over the interval 40 to 44 is approximately b) 1.333

The variance of a continuous uniform distribution over the interval [a, b] is:

Calculate the variance using the formula:

                                       Var(x) = (b-a)^2/12

where [a, b] is the interval over which the continuous uniform distribution is defined

But putting a= 40 and b = 44, calculate the variance by putting them in the above formula

So, Var(x) = (44-40)^2/12

     Var(x) = 4^2/12

     Var(x) = 16/12

     Var(x) = 4/3

     Var(x) = 1.333

Therefore, the variance of 'x' for the continuous distribution over the interval 40 to 44 is approximately b) 1.333

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y = (-1/2)x + 4 is the equation for the linear function with an x-intercept of 8 and a y-intercept of 4.

We are aware that lines might have several kinds of equations; the typical form is

The equation of a line in slope-intercept form is Ax + By + c = 0, and

y = mx + b.

m is the slope, and b is the y-intercept.

The y-intercept, or (0,b), is the point where the line crosses the y-axis at x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.

Given, An x-intercept for a linear function is 8, and a y-intercept is 4.

The two points on the line are therefore (8, 0) and (0, 4).

Slope(m) is now equal to (4 - 0)/(0 - 8).

m slope = 4/8.

slope(m) equals -1/2.

With a y-intercept of 4, it represents the value of b in the equation y = mx + b.

Consequently, the equation is y = (-1/2)x + 4 is linear.

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Answer:

a) 55°

b) 125°

c) 55°

d) 55°

Step-by-step explanation:

a) 180-(90+35) = 55

b) this angle forms a straight angle with ∡a

c) this angle is vertical, and congruent, with ∡a

d) 180-(70+55) = 55

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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The capability demonstrated by Dell's online ordering system, which enables consumers to configure their own computers before Dell builds them, is an example of mass customization.

Mass customization is a production strategy that combines the benefits of mass production with the ability to meet individual customer needs and preferences. It allows customers to personalize and tailor products to their specific requirements, while still benefiting from the efficiency and cost advantages of large-scale production.

The online ordering system empowers customers to choose from a range of hardware components, software options, and additional features, such as memory, storage, processors, graphics cards, and more. Customers can customize their computers based on their intended use, performance needs, and budget constraints. This level of customization offers a personalized experience and ensures that customers receive a computer that aligns precisely with their specifications.

By leveraging the online platform, Dell can efficiently manage a wide variety of configurations and streamline the manufacturing process. This approach eliminates the need for holding large inventories of pre-built computers, reducing costs associated with excess inventory and obsolescence. Dell's online ordering system exemplifies how mass customization can enhance customer satisfaction and provide a competitive advantage in the computer industry.

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Answer:

C is the correct answer

Step-by-step explanation:

The first step in solving the equation is to isolate the radical term, and the second step is to eliminate the radical by raising both sides to the power of 3. Solving this equation for x initially yields x = 0, x = 2, and x = -2. Checking the solutions shows that it is not a real solution.

The first step in solving the equation (4x)\(^{1/3}\) - x = 0 is to isolate the radical term by adding x to both sides of the equation. This gives us

(4x)\(^{1/3}\)= x.
The second step is to raise both sides of the equation to the power of 3, which eliminates the radical. This results in 4x = x³.

Solving this equation for x initially yields x = 0, x = 2, and x = -2.
Checking the solutions shows that only x = 2 is a valid solution, as plugging it back into the original equation yields (4*2)\(^{1/3}\) - 2 = 0. However, plugging in x = 0 results in a division by zero, and plugging in x = -2 yields a negative number under the radical, which is not a real solution.

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Step-by-step explanation:

They were quite antiquated.B) 5x + 52

P(E) = 0.75 ( positive test), P(H) = 0.60 (intelligence)

P(E|H) = 0.98 (positive test given intelligence)

P(H|E) = 0.784 (intelligence given a positive test)

Let's break down the information given and identify the relevant probabilities:

P(E) represents the probability of a positive test, which is given as 75% or 0.75.

P(H) represents the probability of intelligence, which is given as 60% or 0.60.

P(E|H) represents the probability of a positive test given intelligence, which is given as 98% or 0.98.

We are interested in calculating P(H|E), which represents the probability of intelligence given a positive test.

Using Bayes' theorem, we can calculate P(H|E) as follows:

P(H|E) = (P(E|H) * P(H)) / P(E)

Substituting the given values:

P(H|E) = (0.98 * 0.60) / 0.75

P(H|E) ≈ 0.784

Therefore, the probability that Person A is intelligent, given a positive test result, is approximately 0.784 or 78.4%.

In summary, the probabilities are:

P(E) = 0.75 (Probability of a positive test)

P(H) = 0.60 (Probability of intelligence)

P(E|H) = 0.98 (Probability of a positive test given intelligence)

P(H|E) ≈ 0.784 (Probability of intelligence given a positive test)

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P(E) = 0.75 ( positive test), P(H) = 0.60 (intelligence)

P(E|H) = 0.98 (positive test given intelligence)

P(H|E) = 0.784 (intelligence given a positive test)

Let's break down the information given and identify the relevant probabilities:

P(E) represents the probability of a positive test, which is given as 75% or 0.75.

P(H) represents the probability of intelligence, which is given as 60% or 0.60.

P(E|H) represents the probability of a positive test given intelligence, which is given as 98% or 0.98.

We are interested in calculating P(H|E), which represents the probability of intelligence given a positive test.

Using Bayes' theorem, we can calculate P(H|E) as follows:

P(H|E) = (P(E|H) * P(H)) / P(E)

Substituting the given values:

P(H|E) = (0.98 * 0.60) / 0.75

P(H|E) ≈ 0.784

Therefore, the probability that Person A is intelligent, given a positive test result, is approximately 0.784 or 78.4%.

In summary, the probabilities are:

P(E) = 0.75 (Probability of a positive test)

P(H) = 0.60 (Probability of intelligence)

P(E|H) = 0.98 (Probability of a positive test given intelligence)

P(H|E) ≈ 0.784 (Probability of intelligence given a positive test)

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Answer:

B. A dilation was applied because the diameter of the circle decreased.

Step-by-step explanation:

got it right on edge2020

Answer:

its b

Step-by-step explanation:

The system y = 3x + 4 and 6x - 2y = 8 has no solutions.

A system of equations is a set of equations with multiple variables. To determine the number of solutions for a system of equations, one can use the following methods: graphing, substitution, or elimination. In this case, we can use the elimination method by adding or subtracting the equations to eliminate one of the variables.

If we add the two equations, we get y = 3x + 4 + 6x - 2y = 8, which results in 3x + 4 = 8. This is an inconsistent equation and does not have any solutions. Therefore, the system y = 3x + 4 and 6x - 2y = 8 has no solutions.

This shows that the system is inconsistent, which means that there's no solution that satisfies both equations.

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Answer:

3000

Step-by-step explanation:

640x3 = 1920

90x12 = 1080

(hope this helps) :)

Answer:

y = 4/1 - 2

Step-by-step explanation:

That is your words in slope intercept form

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

3x3(2+3) =

3x3(2+3) =3x 3(5) = 3x15 =

45

45x4 = 180

Answer: I would say 20-30 minutes i'm not completely sure though

Answer:

25000000 milligrams

Step-by-step explanation:

2.5*10^1= 25

25*1e+6= 25000000 milligrams

Answer: 25,000,000mg

Step-by-step explanation: 2.5kg * 10^1 = 25kg. Multiply that by 1,000,000 as there are 1,000,000mg in each kg (1000g), 1000mg in every 1 gram (1000grams=1kg)