Given: f(x) = 11(0.92)X
Is this exponential growth or decay?
What is the rate of growth or decay?
What was the initial amount?

Answer:

It would take Michael 22 days

Explanation:

The end goal is to have 80 and we begin with 14

So, 80 - 14 = 66 pieces left to collect

If he collects 3 per day we'll divide 66 by 3, which equals 22

Therefore it takes him 22 days!

(hope this helps :D )

Answer: 22 days

Step-by-step explanation: 22 x 3 = 66, 66 + 14 equals 80

The tallest living man has the most extreme height.

Given,

Height of the tallest living man, Xt = 235 cm

Height of the shortest living man, Xs = 73.8 cm

Mean height, μ = 171.42 cm

Standard deviation, σ = 5.99 cm

To calculate the z values,

Z = (X - μ) / σ

To calculate the z value for the tallest living man,

Zt = (Xt - μ) / σ = (235 - 171.42) / 5.99 = 10.61

To calculate the z value for the shortest living man,

Zs = (Xs - μ) / σ = (73.8 - 171.42) / 5.99 = -16.29

The value furthest from the mean, μ = 0, corresponding to the normal distribution, is 10, so it can be concluded that the tallest living man has the most extreme height.

Therefore, by calculating the z values for the tallest and shortest living man, we get the tallest living man having the most extreme height.

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Answer:

B

Step-by-step explanation:

I think its B dont quote me

The solution to this system of linear equations y - x = 6 and y + x = -10 is (-8, -2).

y - x = 6

⇒y = x + 6

y + x = -10

⇒y = - x - 10

Since both equations are equal to y, equate them.

x + 6 = - x - 10

x + x = - 10 - 6

2x = - 16

Divide both sides by 2

x = -8

Put the value of x in either of the equations

y - x = 6

y - (-8) = 6

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to the system of linear equations is (-8, -2).

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The factorial of a number n is the product of all positive integers up to and including n

The factorial function is typically represented using the "!" symbol, such that n! represents the product of all positive integers up to and including n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

To represent the factorial function using product notation, we can write:

n! = ∏_{i=1}^n i

This means that we take the product of all positive integers from 1 to n, which is equivalent to computing n!. For example, using this notation, we can write:

5! = ∏_{i=1}^5 i = 1 x 2 x 3 x 4 x 5 = 120

Note that the product starts at i=1 and goes up to n, which includes all the positive integers we want to multiply together.

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Answer:

4.5

Step-by-step explanation:

I do RSM

Answer: John walks a total of 360 yards from school.

Step-by-step explanation:

Let's represent the total distance John walks from school as "x".

According to the problem, John has already walked 15% of the way, which can be written as:

0.15x

We also know that he has walked 54 yards so far, which means:

0.15x = 54

To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:

x = 54 ÷ 0.15

x = 360

Therefore, John walks a total of 360 yards from school.

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Answer: To be honsest i think it is C.) "Opposite angle" because the shortest side is always opposite the smallest interior angle.

Lex will need approximately 18.96 units of tile to surround his pool. The perimeter of the quadrilateral is the sum of these lengths.

To find the number of units of tile Lex will need to surround his pool, we can calculate the perimeter of the quadrilateral ABCD.
Given the coordinates of the vertices on the coordinate plane, we can calculate the lengths of the sides:
AB = \(\sqrt((3-0)^2 + (5-4)^2) = \sqrt(9+1) = \sqrt(10)\) = 3.16 units (rounded to the nearest hundredth)
BC = \(\sqrt((5-3)^2 + (-1-5)^2) = \sqrt(4+36) = \sqrt(40)\) = 6.32 units (rounded to the nearest hundredth)
CD = \(\sqrt((2-5)^2 + (-2+1)^2) = \sqrt(9+1) = \sqrt(10)\) = 3.16 units (rounded to the nearest hundredth)
DA = \(\sqrt((2-0)^2 + (-2-4)^2) = \sqrt(4+36) = \sqrt(40)\) = 6.32 units (rounded to the nearest hundredth)
The perimeter of the quadrilateral is the sum of these lengths:
Perimeter = AB + BC + CD + DA = 3.16 + 6.32 + 3.16 + 6.32 = 18.96 units (rounded to the nearest hundredth)
Therefore, Lex will need approximately 18.96 units of tile to surround his pool.

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Lex will need approximately 20.46 units of tile to surround his pool. To find the number of units of tile needed to surround the pool, we need to calculate the perimeter of the pool.

Given the coordinates of the four vertices of the pool:
    A(0, 4)
    B(3, 5)
    C(5, -1)
    D(2, -2)

We can find the length of segment AB using the distance formula:
    \(AB = \sqrt{(3-0)^2 + (5-4)^2} = \sqrt{9 + 1} = \sqrt{10} = 3.16\)units (rounded to the nearest hundredth).

The length of diagonal BD can also be found using the distance formula:
    \(BD = \sqrt{(2-3)^2 + (-2-5)^2} = \sqrt{1 + 49} = \sqrt{50} = 7.07\) units (rounded to the nearest hundredth).

Since angles A and C are right angles, we know that the opposite sides AB and CD are parallel. Similarly, the opposite sides AD and BC are parallel.

The perimeter of the pool is the sum of the lengths of all four sides:
    Perimeter = AB + BC + CD + AD
                      = 3.16 + BD + 3.16 + BD
                      = 6.32 + 7.07 + 7.07
                      = 20.46 units (rounded to the nearest hundredth).

Therefore, Lex will need approximately 20.46 units of tile to surround his pool.

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Answer:

Step-by-step explanation:

a) 32.5/40

= 32.5/40 * 100%

= 81.25%

~81%

b) 31.5/40

= 31.5/40 * 100%

= 78.75%

~79%

c) 29.5/35

= 29.5/35 * 100%

= 84.3%

~84%

d) 26/35

26/35 * 100%

= 74.3%

~74%

e) 24/35

24/35 * 100%

= 68.6%

~69%

Answer:

See below ~

Step-by-step explanation:

a) 32.5/40

b) 31.5/40

c) 29.5/35

d) 26/35

e) 24/35

Answer:

50%

Step-by-step explanation:

The percentage of people between 20 and 37 years old.

From the attached box plot :

Number of people aged up to 20 marks the lower quartile of the distribution = lower 25%

Number of people aged up to 37 marks the upper quartile of the distribution = lower 75%

Hence, percentage number of people aged between 20 and 37 equals

Q3 - Q1 = 75% - 25% = 50%

Answer: The standard algorithm for division is also known as long division, it is a method for solving division problems that involve larger numbers. To solve 66 divided by 7 using the standard algorithm, you can follow these steps:

Step 1: Write the dividend (66) and the divisor (7) in a division problem format, like this:

66 | 7

--- |

Step 2: Divide the first digit of the dividend (6) by the divisor (7). Since 6 is less than 7, write a 0 as the first digit of the quotient.

66 | 7

--- | 0

Step 3: Multiply the divisor (7) by the first digit of the quotient (0) and write the product (0) under the first digit of the dividend (6).

66 | 7

--- | 0

0 |

Step 4: Subtract the product (0) from the first digit of the dividend (6) and write the result (6) under the subtraction.

66 | 7

--- | 0

0 | 6

Step 5: Bring down the next digit of the dividend (6) and append it to the result of the subtraction to form a new 2-digit number (66).

66 | 7

--- | 0

0 | 6

| 66

Step 6: Divide the new 2-digit number (66) by the divisor (7) and write the quotient (9) above the line.

66 | 7

--- | 09

0 | 6

| 66

Step 7: Multiply the divisor (7) by the quotient (9) and write the product (63) under the new 2-digit number (66).

66 | 7

--- | 09

0 | 6

--- | 63

Step 8: Subtract the product (63) from the new 2-digit number (66) and write the result (3) under the subtraction.

66 | 7

--- | 09

0 | 6

--- | 63

| 3

Step 9: Write the final result (9) as the quotient and the remainder (3) of the division problem.

66 | 7

--- | 09

0 | 6

--- | 63

| 3

So, 66 divided by 7 = 9 with a remainder of 3

So the answer is 9 R 3

Step-by-step explanation:

The solution is: 66 divided by 7 is  9 with a remainder of 3.

The standard algorithm for division is also known as long division, it is a method for solving division problems that involve larger numbers.

To solve 66 divided by 7 using the standard algorithm, you can follow these steps:

Step 1: Write the dividend (66) and the divisor (7) in a division problem format, like this:

66 | 7

--- |

Step 2: Divide the first digit of the dividend (6) by the divisor (7). Since 6 is less than 7, write a 0 as the first digit of the quotient.

66 | 7

--- | 0

Step 3: Multiply the divisor (7) by the first digit of the quotient (0) and write the product (0) under the first digit of the dividend (6).

66 | 7

--- | 0

0 |

Step 4: Subtract the product (0) from the first digit of the dividend (6) and write the result (6) under the subtraction.

66 | 7

--- | 0

0 | 6

Step 5: Bring down the next digit of the dividend (6) and append it to the result of the subtraction to form a new 2-digit number (66).

66 | 7

--- | 0

0 | 6

| 66

Step 6: Divide the new 2-digit number (66) by the divisor (7) and write the quotient (9) above the line.

66 | 7

--- | 09

0 | 6

| 66

Step 7: Multiply the divisor (7) by the quotient (9) and write the product (63) under the new 2-digit number (66).

66 | 7

--- | 09

0 | 6

--- | 63

Step 8: Subtract the product (63) from the new 2-digit number (66) and write the result (3) under the subtraction.

66 | 7

--- | 09

0 | 6

--- | 63

| 3

Step 9: Write the final result (9) as the quotient and the remainder (3) of the division problem.

66 | 7

--- | 09

0 | 6

--- | 63

| 3

So, 66 divided by 7 = 9 with a remainder of 3

So the answer is 9 R 3.

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The chosen online news article highlights the growing concerns regarding the impact of social media on freedom of speech.

The article, titled "Social Media Platforms and the Challenge to Free Speech," examines the complex relationship between social media platforms and freedom of speech. It raises key concepts discussed in the chapter regarding the limitations and challenges posed by online platforms to this fundamental right.

The article acknowledges the significant role that social media platforms play in facilitating public discourse, allowing individuals to express their opinions and engage in discussions on various topics. However, it also highlights the potential limitations on freedom of speech that arise due to the power wielded by these platforms.

It discusses instances where social media companies have imposed content restrictions, suspended or banned users, or altered algorithms, leading to concerns about censorship and the stifling of diverse viewpoints.

The article further explores the legal framework surrounding freedom of speech in relation to social media platforms.

It mentions the tension between protecting free expression and addressing issues such as hate speech, disinformation, and online harassment. It delves into the challenges of finding a balance between safeguarding individual liberties and ensuring a safe and inclusive online environment.

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Answer:

The domain of y = f(x) is [0,8]

Step-by-step explanation:

Since the straight line with negative slope begins on the y-axis at (0. 9) and exits the plane at (8, 1), we get is domain from the minimum and maximum values of x for which the function is valid.

So, the minimum value of x at which the function is valid is x = 0 and the function is y = f(0) = 9.The maximum value of x at which the function is valid is x = 8 and the function is y = f(8) = 1.

So, the domain of the function y = f(x) is [0,8]

Answer:

y = f(x) is [0,8]

Step-by-step explanation:

The value of sin 150° is -1/2. and cos 150° is √3/2 (note that it is negative because it is in the second quadrant).

We can use the unit circle to find the exact values of sin 150° and cos 150°.

First, let's consider sin 150°. Since 150° is in the second quadrant, we know that sin 150° is negative. Also, we know that the sine function is periodic with a period of 360°, which means that sin 150° is equal to sin (150° - 360°) = sin (-210°). Now we can use the reference angle of 30° (since 210° is 30° past the 180° mark in the second quadrant) to find the exact value of sin 150°:

sin 150° = sin (-210°) = -sin 30° = -1/2

Therefore, sin 150° is -1/2.

Next, let's consider cos 150°. Since 150° is in the second quadrant, we know that cos 150° is negative. Also, we know that the cosine function is periodic with a period of 360°, which means that cos 150° is equal to cos (150° - 360°) = cos (-210°). Now we can use the reference angle of 30° to find the exact value of cos 150°:

cos 150° = cos (-210°) = cos 30° = √3/2

Therefore, cos 150° is √3/2 (note that it is negative because it is in the second quadrant).

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Answer:

202

Step-by-step explanation:

So it has to end in 2 because 20t+22 will always be a 2.

day1:

17x1+49=66

no 2

day2:

17x2+49=83

odd

day3:

D=100

no 2

day4:

odd

day5:

D=134

no 2

etc

keep adding 17 to D until you get one that ends in 2

D=202

A=202

Answer:

Amount left for gift C = \(4\frac{19}{20}\) dollars

Step-by-step explanation:

Given that:

Amount Cora have to spent on gifts = $20

Amount spent on gift A = \(11\frac{1}{4}=\frac{45}{4}\) dollars

Amount spent on gift B = \(3\frac{4}{5}=\frac{19}{5}\) dollars

Amount spent on gift C = x

Total amount = Gift A + Gift B + Gift C

20 = \(\frac{45}{4}+\frac{19}{5}+x\)

20 = \(\frac{225+76+20x}{20}\)

\(400=301+20x\\400-301=20x\\99=20x\\20x=99\\\)

Dividing both sides by 20

\(\frac{20x}{20}=\frac{99}{20}\\\\x=4\frac{19}{20}\)

Hence,

Amount left for gift C = \(4\frac{19}{20}\) dollars

Step-by-step explanation:

Refer to the attachment ♪♪

Using the distance formula,  \(\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\) to find the length of each sides, the longest side is about 6.71 units which is: d. AB

To find the longest side, we would apply the distance formula to find the length of each side.

Given:

Distance formula = \(\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\)

Length of AB:

\(A(-2,1) = (x_1, y_1)\\\\B(4,4) = (x_2, y_2)\)

\(AB = \sqrt{(4 - 1)^2 + (4 - (-2))^2}\\\\AB = \sqrt{9 + 36}\\\\AB = \sqrt{45} \\\\AB = 6.71\)

Length of BC:

\(B(4,4) = (x_1, y_1)\\\\C(5,0) = (x_2, y_2)\)

\(BC= \sqrt{(0-4)^2 + (5-4)^2}\\\\BC = \sqrt{16 + 1}\\\\BC = \sqrt{17} \\\\BC =4.12\)

Length of CD:

\(C(5,0) = (x_1, y_1)\\\\ D(-1,-2) = (x_2, y_2)\)

\(CD = \sqrt{(-2 - 0)^2 + (-1 - 5)^2}\\\\CD = \sqrt{4 + 36}\\\\CD = \sqrt{40} \\\\CD =6.32\)

Length of DA:

\(D(-1,-2) = (x_1, y_1)\\\\ A(-2,1) = (x_2, y_2)\)

\(DA = \sqrt{(-2 - 1)^2 + (-1 - (-2))^2}\\\\DA= \sqrt{9 + 1}\\\\DA = \sqrt{10} \\\\DA = 3.16\)

Therefore, the using the distance formula,  \(\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\) to find the length of each sides, the longest side is about 6.71 units which is: d. AB

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(a) Hasse diagram for divisibility on the set {1, 2, 3, 4, 5, 6, 7, 8}: he Hasse diagram for divisibility on the set a) {1, 2, 3, 4, 5, 6, 7, 8}.

```

   8

  / \

 4   6

/   / \

2   3   5

\  |

 1

```

(b) Hasse diagram for divisibility on the set {1, 2, 3, 5, 7, 11, 13}:

```

   13

  /  \

11    7

 \   |

  5  |

  |  |

  2  |

   \ |

    3

    |

    1

```

(c) Hasse diagram for divisibility on the set {1, 2, 3, 6, 12, 24, 36, 48}:

```

   48

  / | \

24 36 12

  \ | /

    6

    |

    3

    |

    1

```

(d) Hasse diagram for divisibility on the set {1, 2, 4, 8, 16, 32, 64}:

```

    64

   /

  32

 /

16

 /

8

 /

4

 /

2

 /

1

```

Note: In each diagram, the numbers are arranged such that if a number is divisible by another number, there is a line connecting them and the divisible number is placed higher in the diagram.

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Answer:

12/15 or 4/5

Step-by-step explanation:

4+1+7=12

All three fractions have common denominator which is 15

Answer:Exact Form 4/5

Decimal form: 0.8

or it is 8/10, 12/15, 16,20, 20/25 and 24/30

The fractions of the total current carried by R1, R2, and R3 are 1/60, 1/24, and 1/18, respectively.

To determine the fraction of the total current carried by resistors R1, R2, and R3, we need to add their individual currents and calculate the ratio to the total current.

Given resistors:

R1: 1/5

R2: 1/2

R3: 2/3

Total current = 12A

To calculate the fraction of total current carried by each resistor, we can add the individual currents and divide by the total current:

Fraction of total current carried by R1:

(1/5) / 12 = 1/60

Fraction of total current carried by R2:

(1/2) / 12 = 1/24

Fraction of total current carried by R3:

(2/3) / 12 = 1/18

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Answer:

1, 2, 5, 10

Step-by-step explanation:

1 × 10 = 10

2 × 5 = 10

10 ÷ 5 = 2

10 ÷ 2 = 5

10 ÷ 10 = 1

I Canttttt Do ITttttttt

Answer:

The answer is 5

Explanation:

Point R is located at -25 and Point V is located at -20

If you add 5 to -25 which is point R you land at Point V which is -20

Distance is how far apart a point or object is from the other, Point R is 5 units across from Point v, since if you travel 5 units from point R to point V you land on point v making it the distance they are from each other.

Answer:C

Step-by-step explanation:

The slope on the line containing the points (14,-42) is 1.06, as stated in the preceding sentence (-48,24).

The % slope is calculated by multiplying the distance between two locations by the differences in elevation above them. The difference in height between two places is referred to as "rise." The distance between it sites is known as the run. Therefore, the formula for percent slope is (rise / run) x 100.

The slope's formula is as follows:

m = (y₂-y₁)/x₂-x₁)

In the formula, replace the point values as follows:

m = (24-(-42))/(-48-14)

Make the fraction simpler:

m = (24-(-42))/(-48-14)

m = 66/-62

m = 1.06

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Answer:

40%

Step-by-step explanation:

Answer:

2.2

Step-by-step explanation:

100 is his goal, minus what he already did, which is 12, you get 88. Divide 88 with the number of days remaining and then you get the answer.

Answer:

2 1/5 or 2.2 miles per day

Step-by-step explanation:

(100 - 12) / 40 = 2 1/5 or 2.2 miles per day

The given differential equation is y' + (1/t)y = cos(2t), where t > 0. This is a first-order linear homogeneous differential equation with a non-constant coefficient.general solution to the given differential equation is y = (1/2) * sin(2t) - (1/4) * (1/t) * cos(2t) + C/t, where C is a constant of integration.

To solve this equation, we can use an integrating factor. The integrating factor is given by the exponential of the integral of the coefficient of y with respect to t. In this case, the coefficient of y is 1/t.
Taking the integral of 1/t with respect to t gives ln(t), so the integrating factor is e^(ln(t)) = t.
Multiplying both sides of the equation by the integrating factor t, we get t * y' + y = t * cos(2t).
This equation can now be recognized as a product rule, where (t * y)' = t * cos(2t).
Integrating both sides with respect to t gives t * y = ∫(t * cos(2t)) dt.
Integrating the right side requires the use of integration by parts, resulting in t * y = (1/2) * t * sin(2t) - (1/4) * cos(2t) + C.
Dividing both sides by t gives y = (1/2) * sin(2t) - (1/4) * (1/t) * cos(2t) + C/t.
Therefore, the general solution to the given differential equation is y = (1/2) * sin(2t) - (1/4) * (1/t) * cos(2t) + C/t, where C is a constant of integration.

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The person who is faster is Jeff.

Jeff says "I can run 7 kilometers per hour!.

On the organs hand, it can be seen that Cameron says "I can run 100 meters per minute!"

It should be noted that that 1000km = 1 meter and that kilometers is higher than meter.

Therefore, the person who is faster is Jeff.

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