1) In 2000, there were approximately 109 million cell phone users in the United States. The number of cell
phone users grew to approximately 189 million after one year.
a) Write an exponential model that represents the number of cell phone users in the United States, where t
represents the number of years after 2000.
[2]
[1]
b) What is the percent rate of change?
[1]
c) What would be the number of cell phone users in 2015?
[3]
2) Which statement applies to the graph of f(x)=e* below.

Answer:

1)

D. 3:2

2)

B. 40%

as, no. of girls=8

total no. of students =12+8=20

now,

percentage of girls=no.of girls/total no. of students ×100%

=8/20×100%

=40%

Answer:

  14.4 m²

Step-by-step explanation:

You want the area of ∆RST with sides RS and RT both 6 m, and angle R = 53°.

The relevant area formula is ...

  A = 1/2ab·sin(C) . . . area of triangle with sides a, b, and angle C between

Here, the sides are 6 m and the angle is 53°, so the area is ...

  A = 1/2(6 m)(6 m)·sin(53°) ≈ 14.4 m²

The area of the triangle is about 14.4 square meters.

<95141404393>

Answer:

The percentage change is 140%

Step-by-step explanation:

Given

\(L= 3W_1\) ---- initial dimension

\(W_2 = 6m\) --- new width

\(A_2 = 45m^2\) --- new dimension

Required

The percentage increment

The length remains constant because only the width is extended.

The new area is:

\(Area =Length * Width\)

\(A_2=L * W_2\)

Make L the subject

\(L = \frac{A_2}{ W_2}\)

Substitute values for A and W

\(L = \frac{45m^2}{6m}\)

\(L = \frac{45m}{6}\)

\(L = 7.5m\) --- this is the length of the garden

Calculate the initial width:

\(L= 3W_1\)

Make W1 the subject

\(W_1 = \frac{1}{3} * L\)

\(W_1 = \frac{1}{3} * 7.5\)

\(W_1 = 2.5\)

So, the initial area is:

\(A_1 = L_1 * W_1\)

\(A_1 = 2.5 * 7.5\)

\(A_1 = 18.75\)

The percentage change in area is:

\(\%A = \frac{A_2 - A_1}{A_1}\)

\(\%A = \frac{45 - 18.75}{18.75}\)

\(\%A = \frac{26.25}{18.75}\)

\(\%A = 1.4\)

Express as percentage

\(\%A = 1.4*100\%\)

\(\%A = 140\%\)

Answer:

1.3 or 1.333333

Step-by-step explanation:

Just do it!

Answer:

Step-by-step explanation:

Answer:

8x and 4x(2) + 5

Step-by-step explanation:

It doesn't make sense but I am pretty sure this is correct

Answer:

576

Step-by-step explanation:

The equation for volume is length*width*height or l*w*h

Plug in these numbers:

16*9*4

and solve:

16*9*4=576

Hope this helps!!

~gloriouspurpose~

The function that models the number of foxes in Rocky Mountain National Forest after x years is N(x) = \(76,000 \times (0.98)^x\)

To model the number of foxes in Rocky Mountain National Forest after x years, we can use exponential decay since the fox population is decreasing at a rate of 2% each year.

Let N(x) represent the number of foxes after x years.

We can write the function as:

N(x) = \(N_0 \times (1 - r)^x\)

Where:

N₀ is the initial number of foxes (76,000 in this case),

r is the decay rate (2% or 0.02), and

x is the number of years.

Plugging in the values, we get:

N(x) = \(76,000 \times (1 - 0.02)^x\)

Simplifying further, we have:

N(x) = \(76,000 \times (0.98)^x\)

This function models the number of foxes in Rocky Mountain National Forest after x years.

By substituting different values of x, we can calculate the estimated number of foxes in the forest for any given year.

It's important to note that this model assumes a continuous exponential decay and does not account for other factors that may affect the fox population.

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Among the given functions, f(x) = xⁿ² over [-1, 1] and k(x) over [1,3] satisfy these conditions and hence the theorem applies to them.

The extreme value theorem states that if a function f(x) is continuous on a closed and bounded interval [a, b], then it must have an absolute maximum and minimum value at some points within the interval. This means that the function takes on its largest and smallest values at least once in the interval, either at the endpoints or at some point in between.

Among the given functions, f(x) = xⁿ2 over [-1, 1] and k(x) over [1,3] are continuous on closed and bounded intervals, as they are defined over finite intervals and involve only polynomial functions, which are continuous over their domains. Therefore, the extreme value theorem guarantees that these functions have an absolute maximum and minimum value somewhere within their respective intervals.

On the other hand, the function g(x) = over (1.4) and h(x) = V3 _ X over (1,3) are not continuous on closed and bounded intervals, as they involve discontinuities or singularities within their domains. Thus, the extreme value theorem does not apply to these functions. Finally, the option "None of the above" is incorrect, as two of the given functions satisfy the conditions for the theorem to hold.

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Answer:

9 feet

Step-by-step explanation:

3X3=9 feet therefore 3 yards is equal to 9 feet

Marshall is wondering whether he can participate in the LLP again next year. The statement that is true is "He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.

The Lifelong Learning Plan is a program that helps Canadian residents finance their post-secondary education through their registered retirement savings plans (RRSP). If an individual is attending school full-time, they can withdraw up to $10,000 a year from their RRSP under the program, or up to $20,000 in total. There are certain rules that must be followed by an individual participating in the LLP. For example, withdrawals must be made within four years of enrolling in an eligible educational program, and repayments must begin within the same period.

Here are the statements: Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf. He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000. He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.The correct statement is: He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.

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The equation of \(f(x) = e^{-6x}\) by maclaurin series is \(f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}\).

The maclaurin series for f(x) is defined by the following formula:

\(f(x) = \sum_{i=0}^{\infty} \frac{f^{(i)} (0)}{i!} .x^{i}\)--------------(1)

Where \(f^{i}\) is the i - th derivative of the function

If f(x) = \(e^{-6x}\), then the formula of the i - th derivative of the function is:

\(f^{i} =(-6)^{i} .e^{-6x}\)----------------------(2)

Then,

\(f^{i}(0) = (-6)^{i}\)

Lastly, the equation of the trascendental function by Maclaurin series is: \(f(x)=\sum_{i=0}^{\infty} \frac{(-6)^{i}.x^{i} }{i!} \\f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}\)---------------(3)

Hence,

The equation of \(f(x) = e^{-6x}\) by maclaurin series is \(f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}\).

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47

Cuando dividas 752 por 16 obtendrias 47.

To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.

Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).

We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P

(R) = 0.24

P(Q and R) = P(Q) × P(R)

= 0.37 × 0.24

= 0.0888

Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.

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The equation y = 2x+3 has infinite solutions.

In Maths, number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.

A number line is a pictorial representation of numbers on a straight line. It’s a reference for comparing and ordering numbers. It can be used to represent any real number that includes every whole number and natural number.

As can be seen, the line for y=2x+3 extends up to infinity all over the number line.

For x=0,y=3, For x=1,y=5, For x=2,y=7

∴ For every value of x, we get the different value of y  

Hence it will have infinitely many solutions.

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Answer:

904.78

Step-by-step explanation:

I hope this is correct, if it isn't please feel free to let me know and I can fix it. I'm sorry in advance if it is incorrect.

Answer:15%

Step-by-step explanation:

The answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.

To solve this problem, we can use the multiplication principle, which states that if there are m ways to do one thing and n ways to do another thing, then there are m * n ways to do both things together.

First, we need to choose the last digit of the PIN to be odd. There are 5 odd digits to choose from (1, 3, 5, 7, and 9).

Next, we need to choose the first digit of the PIN. Since it cannot be the same as the last digit, there are only 9 choices left (since 0 is allowed as the first digit).

For the second digit, we can choose from 8 digits (we can't choose the first digit or the last digit, which leaves 8 choices).

For the third digit, we can choose from 7 digits (we can't choose the first digit, the second digit, or the last digit, which leaves 7 choices).

Therefore, the total number of choices for the PIN is:

5 * 9 * 8 * 7 = 2,520

So the answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.

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Let X be a geometric random variable with parameter p = and let Y be a Poisson random variable with parameter A 4. Assuming X and Y independent, then the expected value of the perimeter of the rectangle is 2( + 5), and the expected value of the area is 5.

For the expected values of the perimeter and area of the rectangle, we need to calculate the expected values of X and Y first, as well as their respective distributions.

We have,

X is a geometric random variable with parameter p =

Y is a Poisson random variable with parameter λ = 4

X and Y are independent

For a geometric random variable with parameter p, the expected value is given by E(X) = 1/p. In this case, E(X) = 1/p = 1/.

For a Poisson random variable with parameter λ, the expected value is equal to the parameter itself, so E(Y) = λ = 4.

Now, let's calculate the expected values of the perimeter and area of the rectangle using the given side lengths X and Y + 1.

Perimeter = 2(X + Y + 1)

Area = X(Y + 1)

To find the expected value of the perimeter, we substitute the expected values of X and Y into the equation:

E(Perimeter) = 2(E(X) + E(Y) + 1)

            = 2( + 4 + 1)

            = 2( + 5)

To find the expected value of the area, we substitute the expected values of X and Y into the equation:

E(Area) = E(X)(E(Y) + 1)

       = ( )(4 + 1)

       = 5

Therefore, the expected value of the perimeter of the rectangle is 2( + 5), and the expected value of the area is 5.

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The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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The mass of the triangular region with vertices (0, 0), (5, 0), and (0, 3), with density function ρ(x,y) = x^2y^2, is approximately 10.625 units.

To find the mass of the triangular region, we need to integrate the density function ρ(x,y) = x^2y^2 over the region's domain. By integrating the density function over the region, we can calculate the total mass.

In this case, the region is a triangle with vertices (0, 0), (5, 0), and (0, 3). To integrate the density function, we need to set up the double integral over the triangle's domain, which is determined by the range of x and y values that cover the triangle.

By evaluating the double integral and performing the calculations, we can find the mass of the triangular region to be approximately 10.625 units.

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9 and -4
7 and -2
5 and 0

Each and every pair has a total of 5.

Answer:

9 and-4

7 and -2

5 and 0

Step-by-step explanation:

When ya subtract 4 from 9 you get 5

the same applies to the rest.

Answer:

126

Step-by-step explanation:

a=9

b=3

we have

15b+a^2

just substitute the value

15*3+9*9

45+81

126

Answer:

126 is your answer!

Step-by-step explanation:

15 x 3=45

9^2=81

45+81=126

Answer:

60

Step-by-step explanation:

Multiplication Table Multiplication as Comparison

3 × 1 = 3 3 is one time as many as 3 and 3 times as many as one

3 × 2 = 6 6 is two times as many as 3 and 3 times as many as two

3 × 3 = 9 3 is three times as many as 3

3 × 4 = 12 12 is four times as many as 3 and 3 times as many as four

3 × 5 = 15 15 is five times as many as 3 and 3 times as many as five

3 × 6 = 18 18 is six times as many as 3 and 3 times as many as six

3 × 7 = 21 21 is seven times as many as 3 and 3 times as many as seven

3 × 8 = 24 24 is eight times as many as 3 and 3 times as many as eight

3 × 9 = 27 27 is nine times as many as 3 and 3 times as many as nine

3 × 10 = 30 30 is ten times as many as 3 and 3 times as many as ten

3 x 11 = 33 33 is eleven times as many as 3 and 3 times as many as eleven

3 x 12 = 36 36 is twelve times as many as 3 and 3 times as many as twelve

3 x 13 = 39 39 is thirteen times as many as 3 and 3 times as many as thirteen

3 x 14 = 42 42 is fourteen times as many as 3 and 3 times as many as fourteen

3 x 15 = 45 45 is fifteen times as many as 3 and 3 times as many as fifteen

3 x 16 = 48 48 is sixteen times as many as 3 and 3 times as many as sixteen

3 x 17 = 51 51 is seventeen times as many as 3 and 3 times as many seventeen

3 x 18 = 54 54 is eighteen times as many as 3 and 3 times as many as eighteen

3 x 19 = 57 57 is nineteen times as many as 3 and 3 times as many as nineteen

3 x 20 = 60 60 is twenty times as many as 3 and 3 times as many as twenty

Answer:

true

Step-by-step explanation:

have a good day

Answer:

true? i don't kn ow the question

Answer:

On this picture, it is b, but for edge, it is c

Step-by-step explanation:

Answer:

c but b in the pic

Step-by-step explanation:

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:

Answer is 1 I hope this help you

Answer:

78 square ft.

The answer is 75 ft

explanation

12ft x 2.5ft = 30ft

12ft x 2ft = 24ft

12ft x 1.5ft = 18ft

1.5ft x 2ft = 3ft

30 + 24 + 18 + 3 = 75