A garden has four sides that are all the same length. Each side measures x+4 units. The garden's perimeter is 112 units. What is the value of x? Enter your answer in the box.

Answer:

346/389

Step-by-step explanation:

correct on khan academy!

The reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.

Here, Based on the given conditions, formulate

Probability = Favorable outcome / Total outcome

Calculate the sum or difference: (389-43)/389

get the result:  346/389

Thus.the reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.

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The graph of G(x) is the graph of F(x) stretched horizontally by a factor of 4 and shifted 5 units down.

Comparing the functions [tex]F(x) = x^3[/tex] and  [tex]G(x) = (4x)^3 - 5[/tex]reveals the relationship between their graphs. G(x) is a horizontal stretch of F(x) by a factor of 4 due to the presence of "4x." Additionally, the constant term "-5" shifts the graph downward by 5 units. Consequently, G(x) can be accurately characterized as a horizontal stretching of F(x) and a vertical shift downward by 5 units, altering the shape and position of the original cubic function F(x).

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Consider the expression [tex]6x^3-864x.[/tex] This expression consists of two terms: [tex]6x^3[/tex] and [tex]-864x.[/tex]

These two terms have common factors 6 and x, because:

Then

[tex]6x^3-864x=6x(x^2-144).[/tex]

You know that [tex]144=12^2.[/tex] Use the formula for the difference of squares:

[tex]x^2-144=x^2-12^2=(x-12)(x+12).[/tex]

Therefore,

[tex]6x^3-864=6x(x-12)(x+12).[/tex]

Answer: correct choice is C.

The value of 0.36 repeating times 11/2 is 2.

A fraction represents a part of a whole.

To find the value of 0.36 repeating (which we can write as 0.36363636...) times 11/2.

Convert the repeating decimal to a fraction.

Let x = 0.36363636...

Then 100x = 36.36363636...

Subtracting x from 100x, we get:

99x = 36

x = 36/99 = 4/11

Now Multiply the fraction by 11/2.

(4/11) x (11/2) = 2

Therefore, the value of 0.36 repeating times 11/2 is 2.

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Answer:

C. y = x² + 3x - 10

Step-by-step explanation:

Reggie's current rug has a square shape.

This means that:

length of rug = x ft

width of rug = x ft

For the new rug:

1- the length is 5 ft longer than the current rug. This means that:

new length = x + 5 ft

2- the width is 2 ft shorter than the current rug. This means that:

new width = x - 2 ft

The area of the new rug can be calculated as follows:

area of new rug = new length * new width

area of new rug = (x + 5)(x - 2)

area of new rug = x(x) - 2(x) + 5(x) - 5(2)

area of new rug = x² - 2x + 5x - 10

area of new rug = x² + 3x - 10 ft²

The subject of this question is Mathematics, specifically Algebra 2.

The subject of this question is Mathematics, specifically Algebra 2.

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Answer:

The measure of KL is 6 centimeters.

Step-by-step explanation:

It is given that  △JKL∼△QRS.

The corresponding sides of two similar triangles are proportional.

[tex]\frac{JK}{QR}=\frac{KL}{RS}[/tex]

[tex]\frac{8}{12}=\frac{KL}{9}[/tex]

[tex]8\times 9=KL\times 12[/tex]

Divide both sides by 12.

[tex]KL=\frac{72}{12}[/tex]

[tex]KL=6[/tex]

Therefore we can say that if △JKL∼△QRS, then the measure of KL is 6 centimeters.

Answer:

6

Step-by-step explanation:

He did too much math lol, a simple way of this is by dividing both sides initially.

12/9 = 1.5
9/1.5 = 6

Answer:

3.4 kg, 3,400 g

Answer:

Option (c) is correct.

[tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91

Step-by-step explanation:

Given :   Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year.

We have to choose the equation that can be used to solve the given problem.

We know

Depreciation formula given as,

[tex]A=P(1-\frac{r}{100} )^n[/tex]

Where A is the amount value after depreciation.

P is present value

r is depreciate rate.

n is time period.

Given : P = 42000  and r= 8% also given time period is 6.

Substitute , we have,

[tex]y=42000(1-\frac{8}{100} )^6[/tex]

Simplify , we have,

[tex]y=42000(1-0.08)^6[/tex]

Simplify we get,

[tex]y=25466.91[/tex]

Thus, [tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91

The area of the rectangle having a length of 1.2 feet and a width of 3/4 feet is 3/8 sq feet.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the area of a rectangle is (length×width).

Given, A rectangle is 1/2 feet long and 3/4 feet wide.

Therefore, The area of this rectangle is,

= (1/2×3/4) sq feet.

= 3/8 sq feet.

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SOS

Answer

A: Down

B: Max

C:

Step-by-step explanation:

A: If the leading coefficient (a) is positive, the graph opens UP. If it is negative, the graph opens DOWN.

B: Anytime the graph goes UP, there's a minimum. Anytime the graph goes DOWN, there's a maximum

C:

AOS: [tex]x = \frac{-b}{2a}, a=-1, b=2, c=10[/tex]

Vertex: [tex](\frac{-b}{2a}, y)[/tex]

Y-INT:  let x=0 and solve for y. The coordinate of the y-intercept is (0, y).

Hope this helps!!

This should get you a hundred on the 4.11 quiz. :)

The 10th term of an arithmetic sequence can be found using the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference. Without the graph or additional information, we cannot compute the 10th term for the given sequence.

The question asks us to determine the 10th term of an arithmetic sequence using a provided graph. Unfortunately, the actual graph is not provided in the question. An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant, known as the common difference. To find the 10th term of an arithmetic sequence, we would use the formula:

an = a1 + (n - 1)d

where an is the nth term of the sequence, a1 is the first term, n is the term number, and d is the common difference. However, without the graph or additional information such as the first term or the common difference, we cannot accurately determine the 10th term, and any answer from the provided options would be purely a guess.

To find the 10th term of an arithmetic sequence, we need to use the formula an = a1 + (n-1)d, where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference. In this case, the common difference is -3. Substituting the values into the formula, the 10th term is -24.

To find the 10th term of an arithmetic sequence, we need to identify the common difference and use the formula:

an = a1 + (n-1)d

where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference.

In this case, the given sequence is 3; 14; 11; 5; 16; 17; 28; 41; 31; 18. By comparing the terms, we can see that the common difference is -3.

Substituting the values into the formula:

a10 = 3 + (10-1)(-3) = 3 - 27 = -24

The 10th term of the arithmetic sequence is -24.

Answer:

help

Step-by-step explanation: