In 1980, James planted a tree that was 1 foot tall.the radical function H (t)In 1996, that same tree was 71 feet tall. James finds that the height of the tree can be modeled byWhat is the value of k?Vkt + 1, where H (t) isthe height of the tree in feet, t is the number of years since 1980, and k is a specific constant.• 816.67© 17.50• 306.25• 51.04

The elements using rooster-method:

A){3,4,5,6,7,8,9,10}

B){5,6,7,8,9,10,11,12,13,14}

What is rooster-method?

By listing the items of a set inside brackets, the roster method may be used to display the elements of a set. One of three ways to describe a set is in rooster form. The items of a set are listed in the roster form between curly or following brackets, with commas separating each element. When items repeat in the set, the roster approach actually has an issue. Because the elements do not follow a pattern or have a specific order, it is impossible to describe the elements in roster notation if the set has a significant number of elements or any repeated elements.

A)Set of natural odd numbers greater than 2 but less than 11:

Let us represent the set using symbol O:

O = {3,4,5,6,7,8,9,10}

B){x| x∈ N and 4<x<15}

Given that x is a natural number greater than 4 but less than 15.

X={5,6,7,8,9,10,11,12,13,14}

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We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Answer:

you mean the mean not the meaning right?

The mean proportional of 3 and 27 = +√3×27 = +√81 = 9.

Answer:

A

Step-by-step explanation:

hope this helps! :) Hope you have. a great day

The magnitude of the resultant force is approximately 9.07 lb.

We have,

To use the parallelogram rule to find the magnitude of the resultant force for the two forces, we first draw a diagram:

         B (11 lb)

        /|

       / |

      /  |

     /   |

    /    |

   /     |

  /θ     |

 /       |

A (7 lb)  |

 \       |

  \      |

   \     |

    \    |

     \   |

      \  |

       \ |

        \|

         C

where A and B are the magnitudes of the given forces, and θ is the angle between them.

Using the parallelogram rule, we draw a parallelogram with sides AB and BC:

         B (11 lb)

        /|

       / |

      /  |

     /   |

    /    |

   /     |

  /θ     |

 /       |

A (7 lb) D

 \       |

  \      |

   \     |

    \    |

     \   |

      \  |

       \ |

        \|

         C

The diagonal BD represents the magnitude and direction of the resultant force.

To find its magnitude, we use the Law of Cosines:

BD^2 = AB^2 + BC^2 - 2(AB)(BC)cos(θ)

BD^2 = (7 lb)^2 + (11 lb)^2 - 2(7 lb)(11 lb)cos(133 degrees)

BD^2 = 49 + 121 - 2(77)cos(133 degrees)

BD^2 = 170 - 154cos(133 degrees)

BD ≈ 9.07 lb (rounded to two decimal places)

Therefore,

The magnitude of the resultant force is approximately 9.07 lb.

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Like usual, we can solve this question using an equation. Let’s assume that John’s age is x, and his sister’s age is y.

x = 2y

To figure out John’s age, we need to know his sister’s age. He’s 2 times older than his sister.

x + y = 27

The sum of their ages is 27, and we can substitute the value of x here to figure out y.

2y + y = 27

We can now simplify this, and get y by itself.

3y = 27

Now, we can divide by 3 to get the y by itself.

y = 9

We now know that John’s sister is 9.

Now, using our original equation, we can substitute in the value of y.

x = 2(9)

We can simplify this.

x = 18

John’s age is 18!

Hope this helps.

Answer:

8

Step-by-step explanation:

3/4 cup leaves 1/4 cup from each cup

1/4+1/4+1/4=3/4

so it would be 3/4+3/4+3/4+3/4+3/4+3/4+3/4+3/4=8 cups

Step-by-step explanation:

Find the slope:

Find the y-intercept:

The equation is:

Slope

Equation in point slope form

Y intercept=15

The calculated area of the quadrilateral is 35.82 square units.

Given that

BAse = 6.5

Height = 5.51

To find the area of a quadrilateral, we need to multiply the base by the height.

Area of quadrilateral = base x height

Substituting the given values, we get:

Area = 6.5 x 5.51

Area = 35.815

Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.

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Answer:16

Step-by-step explanation:

a. FPCF for this sample is FPCF = √(199/24) = 2.89.

b. The population cannot be considered effectively infinite, so the answer is no.

When the sample size is significant compared to the size of the community, the Finite Population Correction Factor, also known as the FPC factor, is applied. The population in most cases is so vast that typical sample sizes are insufficient to raise concerns about the need for the FPC.

The recommendation is to use the FPC when the sample size to population size ratio is higher than 5%. The FPCF must be used, for instance, if the population number is 300 and the sample size is 30, which results in a ratio of 10%.

a. To calculate the FPCF (finite population correction factor) for this sample, we can use the formula:

FPCF = √(N/n)

where N is the population size, and n is the sample size.

In this case, N = 199 (the number of blood samples in the racks), and n = 24 (the number of samples selected every seventh blood sample).

FPCF = √(199/24) = 2.89 (rounded to two decimal places)

b. To determine whether the population should be considered effectively infinite, we need to compare the sample size to the population size. A general rule of thumb is that the population can be considered effectively infinite if the sample size is less than 5-10% of the population size.

In this case, the sample size is 24, which is approximately 12% of the population size of 199. Therefore, the population cannot be considered effectively infinite, and the FPCF should be applied to adjust for the finite population size.

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The third term in the expansion of the expression (5x - 7y)³ is 735xy².

Given expression is,

(5x - 7y)³

We have to expand this.

We know that,

(a + b)³ = a³ - 3a²b + 3ab² - b³

Using this,

(5x - 7y)³ = (5x)³ - (3 × (5x)² × 7y) + (3 ×(5x) × (7y)²) - (7y)³

               = 125x³ - (3 × 25x² × 7y) + (3 × 5x × 49y²) - 343y³

               = 125x³ - 525x²y + 735xy² - 343y³

Here the third term is 735xy².

Hence the third term is 735xy².

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A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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Answer:

(cross multiply)

2:3

16:X

2X=16×3

2x=48

x=48÷2

x=24

Answer:

85

Step-by-step explanation:

add 4 values, excluding 72 (lowest grade)

total = 339

average = 330/4 = 84.75

84.75 rounding to nearest integer is 85

Answer:

A

Step-by-step explanation:

10^-3 will make it negative and then 10^3 because it is less then 10^7

Answer:

A

Step-by-step explanation:

Because all three of these are 7.68x10^a power the determining factor in which one is the greatest is based on which one has the largest exponent -3<3<7 so this is the order from least to greatest.

If λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

The equation Av = λv, where v is a non-zero vector, is satisfied by an eigenvector v and an eigenvalue given a square matrix A. In other words, the eigenvector v is multiplied by the matrix A to produce a scalar multiple of v. Due to their role in illuminating the behaviour of linear transformations and differential equation systems, eigenvectors play a crucial role in many branches of mathematics and science. When the eigenvector v is multiplied by A, the eigenvalue indicates how much it is scaled.

The eigenvalue and eigenvector states that, let v be a non-zero eigenvector of A corresponding to the eigenvalue λ.

Then, we have:

Av = λv

Taking transpose on both sides we have:

\(v^T A^T = \lambda v^T\)

The above equations thus relates transpose of vector and transpose of A to λ.

Now, consider a matrix:

\(\left[\begin{array}{cc}1&2\\3&4\\\end{array}\right]\)

Now, the eigen values of this matrix are λ1 = -0.37 and λ2 = 5.37.

The eigenvectors are:

\(v1 = [-0.8246, 0.5658]^T\\v2 = [-0.4159, -0.9094]^T\)

Now, for transpose of A:

\(A^T=\left[\begin{array}{cc}1&3\\2&4\\\end{array}\right]\)

The eigen vectors are:

\(u1 = [-0.7071, -0.7071]^T\\u2 = [0.8944, -0.4472]^T\)

Hence, we see that, if λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

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Answer:

We have the ration:

3:5:7

This means that, if they receive $15, then:

Person A will get $3

Person B will get $5

Person C will get $10

Let's then define the amount of money shared as:

Amount = K*$15

where we want to find the number K.

In this scenario, each they will get:

Person A : $3*K

Person B: $5*K

Person C: $7*K

Now, we know that one of them gets "10 more than the other"

(The problem here is that we do not know exactly who receives more than who, i will suppose that person B receives $10 more than person A)

then we can have:

$5*K = $10 + $3*K

solving this for K, we have:

$5*K - $3*K = $10

$2*K = $10

K = $10/$2 = 5

Then the amount shared, in this situation, is:

Amount = K*$15 = 5*$15 = $75.

Answer:

719010

Step-by-step explanation:

Answer:

3. f(3) = 16

4. h(3) = 4

Step-by-step explanation:

3.

f(x) = x² + 7

f(3) = 3² + 7

f(3) = 16

4.

h(x) = 12/x

h(3) = 12/3

h(3) = 4

Answer:

i think its 1.5 im not sure tho 1.5 sounds the best

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

This means that AB⊥BC

The dilation doesn't affect the shape of the triangle, therefore:

Perpendicular lines have negative reciprocal slopes. In other words the product of the slopes is  - 1.

Let the slope of B'C' is x, then:

Correct option is C

Answer:

0.13000

there is 52 cards in a deck so you take 52 and divide it by 4 since there is only 4 face cards you then get 13 and turn it into 0.13 then round to the 6th digit or millionth after the decimal so you would get 0.130000

Answer: 64in cubed

Step-by-step explanation:

4x4x4

Answer:

64

Step-by-step explanation:

Volume of a cube-shaped box = a*a*a

4*4*4=64

Answer:

⅘×⅛ = 1/10

Step-by-step explanation:

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

Step-by-step explanation:

its 8 duh jk its your mom XD

The simplified form of the expression \(( 2^{-\frac{1}{2}} * 7^{\frac{1}{3} )^6\) is  \(6\frac{1}{8}\).

Given the expression in the question:

\(( 2^{-\frac{1}{2}} * 7^{\frac{1}{3} )^6\)

To simplify the given expression \(( 2^{-\frac{1}{2}} * 7^{\frac{1}{3} )^6\), first, rewrite the expression using the negative exponent rule:

\(( \frac{1}{2^{\frac{1}{2} }} * 7^{\frac{1}{3} )^6\)

Next, combine the fractions:

\(( \frac{7^{\frac{1}{3} }}{2^{\frac{1}{2} }} )^6\)

Simplify the numnerator:

\(\frac{49}{(2^{\frac{1}{2} })^6}\)

Simplify the denpminator:

\(\frac{49}{8}\\ \\6\frac{1}{8}\)

Therefore, the simplified form is \(6\frac{1}{8}\)

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Answer:

y=-1/2x+1

Step-by-step explanation: