Mark opens a bank account with $20. He plans to put in $5 each week.

Complete the table below to show the total amount of money Mark has in his bank account from 0 to 10 weeks.

Time
(weeks)
0
1
2
3
4
5
6
7
8
9
10
Money ($)
$20

The function that models the population t years after 2000 is22300 × e^(0.06t), The estimated fox population in the year 2008 is 36081. This can be answered by the concept of exponential function.

The question asks to find a function that models the population of foxes in a certain region with a continuous growth rate of 6 percent per year starting from the year 2000. It also asks to estimate the fox population in the year 2008 using this function.

a. Let P(t) be the population of foxes t years after 2000. Since the growth rate is continuous, we can use an exponential function with base e to model the population. We know that P(0) = 22300 (the population in the year 2000), and the annual growth rate is 6%. Therefore, we can write:

P(t) = 22300 × e^(0.06t)

b. To estimate the fox population in the year 2008, we need to find P(8) since t = 8 represents 8 years after 2000. Substituting t = 8 into the equation above, we get:

P(8) = 22300 × e^(0.06×8) = 22300 × e^0.48 ≈ 36081

Therefore, the estimated fox population in the year 2008 is 36081.

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The correct option is False. Sampling only seniors at Dr. Khan's college may not provide a representative sample of how all college students in her state will vote during the next election.

The sample may not capture the diversity and demographics of college students in the entire state. To obtain a more representative sample.

It would be necessary to consider a broader range of colleges and universities and potentially include students from various backgrounds and institutions within the state.

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Answer:

\( {x}^{2} - 7x + 4x - 28 \\ = x(x - 7) + 4(x - 7) \\ = (x - 7)(x + 4)\)

Answer:

x = 0 and x = 1

Step-by-step explanation:

Look in the second and third columns where the number is the same.

On the row where x = 0, both f(x) and g(x) turn out to be 1.

On the row where x = 1, both f(x) and g(x) turn out to be 1/2.

They are asking you to point out where f(x) and g(x) are the same. This is happening at x = 0 and x = 1

In case you didn't know, on some of the online platforms, when the answers have circles beside them, there is one right answer. When the answers have squares beside them, you are able to mark more than one right answer (which there may or may not be more than one right answer.)

Answer:

E. Each trial is independent

Step-by-step explanation:

I'm not completely sure why all binomial distribution trials are independent, but there are requirements for binomial distributions.

These requirements are:

- Each outcome is either a success (p) or a failure (Q)

- All trials are independent

- There are a fixed number of "n" trials

- The probability of success (p) is the same for each trial

I also just took the test and got this right.

First, you must subtract.

$20 - $5.03 = $14.97This is because he recieved $5.03 in exchange.

Next, you must divide by 3.

$14.97 / 3 = $4.99

Therefore each pair of socks costs $4.99.

Hope this helps!

The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

⇒ f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

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Answer:

9.24

Step-by-step explanation:

Formula Cylinder = πr² * h

Let's work backwards

Use 3.14 for π

3.14 * (6)² * h = 1044

3.14 * 36 * h = 1044

113.04 * h = 1044

h = 1044 ÷ 113.04

h ≈ 9.24

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The probability that the next person will pay with a debit card is:

P =  0.63

We want to find he probability that the next customer will pay with a debit card.

That probability can be estimated as the quotient between the number of customers that paid with debit card and the total number of customers.

We know that:

15 paid in cash.

50 paid with debit card.

15 paid with credit card.

For a total of 15 + 50 + 15 = 80

Then the probability is:

P = 50/80 = 0.63

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Step-by-step explanation:

angle B+angle C = 180°

= angle B= 180-79

= angle B = 101°

therefore angle A = 79°

angle D = 101°

The formula for the world population \(t\) years after 1950 would be,

\(p = 2.519 \times 1.0177^t\)

where \(t\) is the time duration in years.

The world population in 1950 was 2,519 million or 2.519 billion.

Population after 1950 can be defined as a compounded growth at the rate of 1.77% per year.

We can define compound growth as the average rate of growth experienced by an investment over a multi-year period. One way to think about the compound growth rate is that it takes all the hills and valleys into account when considering the investment landscape.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

This can be modeled as follows:

\(p = 2.519 \times 1.0177^t\)

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Step-by-step explanation:

I believe it's table 2 only, but I apologize if I'm wrong. Haven't learned functions in about 3 years haha!

Answer:

? = 85°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum of the angles around a point = 360° , so

interior angle on right = 360° - 250° = 110°

sum the interior angles and equate to 540°

110° + 115° + 120° + 110° + ? = 540° , that is

455° + ? = 540° ( subtract 455° from both sides )

? = 85°

The amount of sales tax is $87.79.

Given a total purchase price of a sofa as $1,254.07 and state taxes of 7%.

We are required to calculate the amount of sales tax.

The amount of sales tax can be calculated by multiplying the purchase price by the sales tax rate.

Let's represent the sales tax rate by `r`.

Therefore, the sales tax formula is expressed as:

Sales tax = r * purchase price

In this case, the rate of the sales tax `r` is 7%.

Therefore, we have:r = 7% = 0.07

Now we substitute the values given into the formula:

Sales tax = 0.07 * $1,254.07= $87.79

Therefore, the amount of sales tax is $87.79.

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Answer:

10

Step-by-step explanation:

Given that :

Width of box, W = 5 inches

Width of marker to be stored in box = 1/2 inch

The number of 1/2 inch marker which can be stored in box is :

Width of box ÷ width of marker to be stored in box

5 inches ÷ 1/2 inches

5 / 0.5

= 10

Hence, Ten 1/2-inch width marker can be stored in the box

Answer: Line EF Edge GL!

Answer:

Answer above is correct! Option C. Line EF is correct on Edge :D

Step-by-step explanation:

Just answered it correctly on the assignment - hope this helps :P

On solving the provided question we cans ay that - A rectangle in Euclidean plane geometry is a quadrilateral with four right angles\(2(8x + 4) = (24x - 8) = > 8x = 16 = > x = 2\)

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a four-sided polygon with four 90-degree angles. The form of a rectangle is two dimensional.

Both of the rectangle's diagonals are the same length.

Hence , FH=EG

as, diagonals bisect each other

So,\(2(JF)=EG\)

\(2(8x + 4) = (24x - 8)\\8x = 16 \\x = 2\)

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Answer:

remove parentheses by multiplying factors.

use exponent rules to remove parentheses in terms with exponents.

combine like terms by adding coefficients.

combine the constants.

Step-by-step explanation:

Answer:

3x2+9x−5

Step-by-step explanation:

You just have to add the like terms

Answer:

3x² + 9x - 5

Step-by-step explanation:

Group like terms:

3x² + 6x - 10 + 3x + 5

3x² + 9x -5

hope this helps :)

Answer:

yes I agree with kevin's thinking because she needs 75 for each of the 12 days so its 12*75 and compare with how she earns 85 dollars each month for ten months which is 85 *10

Step-by-step explanation:

Answer:

Yes, I agree.

Step-by-step explanation:

She needs 75 for each of the 12 days so do the math 12x75.  Because she earns 85 dollars each month for ten months, you do 85x10.

Answer:

I believe its 36

Step-by-step explanation:

so what i id is a took apart the answer, if 1 1/4 if 10 cups the 1/4 1/4 1/4 1/4 1/4 would also be 10 cups, so now i know that 1/4 = 2 servings

eso i took 3. 1/4 and that gave me 6 and now add the previous which is 10 so its 16 and i have   2 cups left

from here i knew 1 cup and 1/4 is 10 so subtract 1/4 which is -2 servings and you have 8 and 8+8 is 16 so

then i added

16+16= 36

which leads to my final answer of 36

Im so sorry if im wronge but if its right please give brainlest

Answer:

use a scientific calculator, the answer is 1.076932

Step-by-step explanation:

2÷1 6/7 = 1.07...

also you can do this,

1 6/7 equals 13/7 so 2÷13/7 = 1.07....

(7, 3) is the answer I believe

Answer: C: 4.9

The original answer is 4.8989, so I rounded 8 to the nearest hundredth and got the answer of 4.9. Having a Mathematics calculator also helps with math like this.

The given series is convergent and its sum is 6e.

Given series is [∞] 6en 3 / n(n+1);

n = 1.

The given series can be written as:

[∞] 6en 3 / n(n+1)

= [∞] 6en (1/n - 1/(n+1));

n = 1

It is a telescoping series.

Therefore, the nth term is given by the expression:

an = 6en (1/n - 1/(n+1))an

= 6en / n(n+1)

We need to check whether the series is convergent or divergent.

Using the Integral Test we can determine whether the series is convergent or divergent.

Let's use this test for our given series:

Integral test, ∫[1,∞] 6en / n(n+1) dn

6∫[1,∞] en / n(n+1) dn

By comparing this expression with the known integral function:

∫[1,∞] 1 / xα dx;

α > 1

Here, α = 2.

So, we can write:

nα = n²

Therefore, ∫[1,∞] 1 / n² dn

Consequently, we can solve the above integral as follows:

6∫[1,∞] en / n(n+1) dn

= 6[en/(n+1)] [1,∞)

= 6en / (n+1) |[1,∞)

Substituting the values, we get:

6en / (n+1)|[1,∞)

= 6e

Here, the value is a finite quantity.

Therefore, the given series is convergent and its sum is 6e.

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Answer:

Step-by-step explanation:

3x + 4x + x = 16

7x + x = 16

8x = 16

x = 16 : 8

x = 2

----------------------

3 × 2 + 4 × 2 + 2 = 16  (remember PEMDAS)

6 + 8 + 2 = 16

16 = 16

same value the answer is good

Complete Question

Estimate the following product in scientific notation, and then select the best answer for the product's power of 10

(91x10²) ÷ (3.3 x10¹²)

Answer:

2.75 ×10^-9

Step-by-step explanation:

Estimate the following product in scientific notation, and then select the best answer for the product's power of 10

(91x10²) ÷ (3.3 x10¹²)

= (91 × 10²) / (3.3 × 10¹²)

= (91 × 10²) / (33 × 10¹¹)

= 91/33 × ( 10^2 - 11)

= 2.757575757 × 10^-9

Approximately

= 2.75 × 10^-9

Answer:

15, the answer is 15.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

if one tree equals 700 bags, then you would divide the amount of bags that were used, 5600, by 700 to get answer. 5600 divided by 700 = 8

Step-by-step explanation:

Given: {x+(1/x)}³ = 3

Asked: x³ + (1/x³) = ?

Solution:

Method 1:

We have, {x+(1/x)}³ = 3

Comparing the expression with (a+b)³, we get

a = x

b = (1/x)

Using identity (a+b)³ = a³+b³+3ab(a+b), we get

⇛{x+(1/x)}³ = 3

⇛(x)³ + (1/x)³ + 3(x)(1/x){x + (1/x)} = 3

⇛(x*x*x) + (1*1*1/3*3*3) + 3(x)(1/x){x + (1/x)} = 3

⇛x³ + (1/x³) + 3(x)(1/x){x + (1/x)} = 3

⇛x³ + (1/x³) + 3{x + (1/x)} = 3

⇛x³ + (1/x³) + 3(x) + 3(1/x) = 3

⇛x³ + (1/x³) + 3x + (3/x) = 3

Our answer came incorrect.

Let's try..

Method 2:

We have,

[x+(1/x)]³ = 3

On taking cube root both sides then

⇛³√[{ x+(1/x)}³ ] = ³√3

⇛x+(1/x) = ³√3 -----(1)

We know that

a³+b³ = (a+b)³-3ab(a+b)

⇛x³+(1/x)³ = [x+(1/x)]³ - 3(x)(1/x)[x+(1/x)]

⇛x³+(1/x³) = (3)-3(1)(³√3)

[since, {x + (1/x)} = ³√3 from equation (1)]

⇛x³+(1/x)³ = 3-3 ׳√3

⇛x³ + (1/x³) = 3- ³√81 (or )

⇛x³ + (1/x³) = 3(1-³√3)

Therefore, x³ + (1/x³) = 3(1 - cube root of 3)

It is impossible to get zero

Based on the calculations, the expression \(x^3 +(\frac{1}{x})^3\) is equal to \(3(1-\sqrt[3]{3})\)

Given the following data:

First of all, we would take the cube root of both sides as follows:

\(\sqrt[3]{(x + \frac{1}{x} )^3} =\sqrt[3]{3} \\\\x + \frac{1}{x} =\sqrt[3]{3}\)....equation 1.

From trinomial, we have:

\(a^3+b^3=(a+b)^3-3ab(a+b)\)

Applying the trinomial eqn. & substituting eqn. 1, we have:

\(x^3 +(\frac{1}{x})^3 = [x+\frac{1}{x}]^3 - 3(x)(\frac{1}{x})[x+\frac{1}{x}]\\\\x^3 +(\frac{1}{x})^3 = (\sqrt[3]{3})^3 - 3[x+\frac{1}{x}]\\\\x^3 +(\frac{1}{x})^3 =3-3\sqrt[3]{3} \\\\x^3 +(\frac{1}{x})^3 =3(1-\sqrt[3]{3})\)

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The accumulation points of the given function are -1 and 1, with upper and lower accumulation points being 1 and -1 respectively.

To find the accumulation points of a function, we need to determine the values towards which the function approaches as the input approaches certain values. In this case, we have the function 11.9. Since it is a constant function, it takes the value 11.9 for all inputs.

Thus, there are no accumulation points other than the constant value itself, which is -1. However, when considering upper and lower accumulation points, we need to include the endpoints of the interval.

As the function is constant, the upper accumulation point is the maximum value of the function, which is 11.9, and the lower accumulation point is the minimum value, which is also 11.9. Hence, the accumulation points are -1 and 1, with upper and lower accumulation points being 1 and -1 respectively.

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