The length of a rectangle is twice its width. The perimeter is 60 ft. Find its area.

1. A = 200ft^2
2. A = 10 ft^2
3 .A = 100 ft 2

The possible lengths of each side of the chicken pen are between 0 and 13 feet.

Let's assume that the garden is a square with sides of length x. To surround the garden, we will need fencing of length 4x. We know that we have at most 52 feet of fencing, so we can write:

4x ≤ 52

Dividing both sides by 4 gives us:

x ≤ 13

Since the length of each side of the garden cannot be negative, the possible lengths of each side are between 0 and 13 feet. Therefore, the possible lengths of each side of the chicken pen are between 0 and 13 feet.

The possible lengths of each side of a square garden with at most 52 feet of fencing to surround it are found using the perimeter formula and solving for the variable. The lengths of each side of the square garden are 13 feet.

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There are mainly two types of logarithmic functions - common logarithm and natural logarithm.

Common logarithm (log): The logarithm function with base 10, it is represented as log10(x) or simply log(x) if the base is not specified.

Natural logarithm (ln): The logarithm function with base e (approx 2.718), it is represented as ln(x)

These two logarithmic functions are the most commonly used and have many applications in mathematics, physics, engineering, and other sciences. They are inverse functions of the exponential functions (10^x and e^x) respectively.

Additionally, there are other types of logarithms, such as logarithms with bases other than 10 or e, for example log2(x) which is logarithm with base 2, it is used in information theory and computer science.

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Answer:

h = 26

Step-by-step explanation:

To solve for h, we can start by simplifying the right-hand side of the equation:

13 = h - 18 - 5

We can combine the -18 and -5 terms on the right-hand side:

13 = h - 23

Now we can add 23 to both sides of the equation to isolate h:

13 + 23 = h - 23 + 23

Simplifying:

36 = h

Therefore, the value of h that satisfies the equation 13 = h - 18 - 5 is 36.

Answer:

h=36

Step-by-step explanation:

To look for the value of h, you first start by adding the two negative numbers you have on the right side of the equals sign, and then take the answer you get and do the opposite method of solving to get h

-18-5=-23

13+23=36

therefore, h=36

The value of X is equals to 21,the largest angle in the triangle is ∠C, which measures 81°,BC is the shortest side.

In triangle ABC, we are given that ∠A measures 58°, ∠B measures (2x-1)°, and ∠C measures (4x-3)°. To find the value of x, we use the fact that the sum of the angles in a triangle is always 180 degrees. By adding the measures of the three angles, we obtain the equation 58 + (2x-1) + (4x-3) = 180. Simplifying the equation, we combine like terms and solve for x to find that x equals 21.

To determine the largest angle, we compare the measures of ∠A, ∠B, and ∠C. By substituting the value of x, we find that ∠A measures 58°, ∠B measures 41°, and ∠C measures 81°. Therefore, the largest angle in the triangle is ∠C, which measures 81°.

To identify the shortest side, we use the property that the smallest angle in a triangle is opposite the shortest side. In this case, ∠B measures 41°, making side BC the shortest side in triangle ABC.

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Answer:

x=2,-4

Step-by-step explanation:

A. 83

We can see that the Y value is less than 90 degrees or right angle. So we can cross out answer options C and D.

And we should know that all of the triangles add up to 180 degrees.

So the math would do is:

46+51=97

180-97=83

So...

The Y value is 83.

Also, can I pls, pls, pls have brainliest?? I need 1 more brainliest and about one hundred more points to lvl up!!

Answer: Yes this is a right triangle

We can determine this by using the converse of the pythagorean theorem.

a = 5, b = 12, c = 13

\(a^2 + b^2 = c^2\\\\5^2 + 12^2 = 13^2\\\\25 + 144 = 169\\\\169 = 169 \ \ \checkmark\\\\\)

Since those a,b,c values work in the pythagorean theorem, this proves we have a right triangle.

The function f(x) is: \(f(x) = x^9 + 30\) and the cost function is: C(x) = 31x

A) We can find f(x) by integrating f '(x):

\(f(x) = ∫f '(x) dx = ∫3x^8 dx = x^9 + C\)

We can determine the value of the constant C using the initial condition f(1) = 31:

\(31 = 1^9 + C\)

C = 30

Therefore, the function f(x) is:

\(f(x) = x^9 + 30\)

B) The marginal cost to produce one cup is the derivative of the cost function:

m(x) = C'(x) = 31

To find the cost function, we integrate the marginal cost:

C(x) = ∫m(x) dx = ∫31 dx = 31x + C

We can determine the value of the constant C using the fact that the cost of producing one cup is $31:

C(1) = 31

31 = 31(1) + C

C = 0

Therefore, the cost function is:

C(x) = 31x

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Answer:

we used graphs to classify how many solutions a system of two linear equations had. What if we are not given a point of intersection, or it is not obvious from a graph? Can we still find a solution to the system? Of course you can, using algebra!

Step-by-step explanation:

Answer:

A- 4 yards

Step-by-step explanation:

Hope this helps!

Have a nice day <3

After changing the unit of 144 inches into yards the number equivalent to 144 inches is 4 yards. Hence option (a) is true.

Given that,

Change the number 144 inches into yards.

Used the concept of measurement unit which stated that,

A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.

Since we know that,

1 yards = 36 inches

1 inch = 1/36 yards

So, we can change the number 144 inches into yards,

1 inch = 1/36 yards

144 inches = 144/36 yards

= 4 yards

Therefore, 144 inches is equivalent to 4 inches.

Option (a) is true.

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Answer:

7.75 inches

Step-by-step explanation:

The easiest way to find this is to use invert operations. When we have to find a variable, say we have to find a variable's worth in this problem:

a+5=10

Then what do we do? We subtract, which is the inverted operation of adding.

So here, because the operation for finding area of multiplication, we will do division.

What will we divide? Well, we'll divide 62 by 8 to get our answer which is the WIDTH of the rectangle!

62/8=7.75

The equation of the line is y = (3/2)x +5.

A line is a perfectly straight, one-dimensional shape that extends endlessly in both directions and has no thickness.

Given that, the line passes through points (2,8) and has a slope of 3/2.

The equation of the line in point-slope form is:

y - y₁= m (x -x ₁)

Substitute (x₁,y₁) = (2,8) and m = 3/2 into the above equation,

y - 8 = 3/2 (x -2)

y - 8 = (3/2)x -3

y = (3/2)x -3 +8

y = (3/2)x +5

Hence, the equation of the line is y = (3/2)x +5.

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Answer:

Yes

Step-by-step explanation:

None of them repeat

Answer: 1/2

Step-by-step explanation:

Simplify 2/3 to 4/6

Subtract 1/6 from both sides of the equation

4/6 - 1/6 = 3/6 = 1/2

Answer:

3/6

Step-by-step explanation:

You first have to change the denominator into a 6 then multiply it then you get 3/6. Hope this helped brutherrr

Step-by-step explanation:

Answer:

It will take at least 45 cars

Step-by-step explanation:

so to start subtract 240 from 600

you get 360 then divide 8

this leaves you with 45

The question asks to find the inverse of a given function. To do this, we need to switch the roles of x and y in the function and solve for y. The resulting equation is the inverse function.

To find the inverse of a function, we need to switch the roles of x and y in the equation and solve for y. Let's take the function f(x) = 2x + 3 as an example.

1: Switch the roles of x and y in the function. We get x = 2y + 3.

2: Solve for y. Subtract 3 from both sides of the equation. We get x - 3 = 2y.

3: Divide both sides of the equation by 2. We get (x - 3)/2 = y.

4: Replace y with f^-1(x) to get the inverse function. We get f^-1(x) = (x - 3)/2.

Therefore, the inverse of the given function is f^-1(x) = (x - 3)/2.

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It should be noted that the addition of 3/4 and 1/16 as a single fraction will be 13/16.

In order to add the fractions 3/4 and 1/16, we need to find a common denominator. The smallest common multiple of 4 and 16 is 16.

First, let's convert 3/4 to have a denominator of 16:

3/4 = (3/4) * (4/4) = 12/16

Now we can add the fractions:

12/16 + 1/16 = 13/16

Therefore, the sum of 3/4 and 1/16 is 13/16.

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Can you put it into a single fraction the addition of 3/4 and 1/16.

Not really ready. But will be! FYI that's not really a question.

If there were 100 people before reaching first stop

Then at first stop

They remained

At second stop

TOTAL people

The no of people are decreased by 13

Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

Answer: -10,30

Step-by-step explanation: I drew the graph, and it lined with 30 and interCepted -10

Thus, to use parenthesis to form an expression so that the expression's value: (6.3 x 15) ÷ (3 + 6.8) - 28.09 = 46.25.

The two punctuation marks known as parentheses are most frequently employed to insert unnecessary details or an aside into a phrase. Two curving vertical lines mimic the parentheses: ( ). A parenthesis is a single of the above punctuation symbols.

To use parenthesis to form an expression so that the expression's value:

6.3 x 15 ÷ 3 + 6.8 - 28.09 is 46.25

The following equation could be taken:

(6.3 x 15) ÷ (3 + 6.8) - 28.09 = 46.25.

To make sure that values inside of the parenthesis are calculated first, utilise the parentheses.

Simplify expression:

= 6.3×(15÷3+6.8)-28.09

= 6.3(5 + 6.8)-28.09

= 6.3(11.8)-28.09

= 74.34-28.09

= 46.25

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The percentage decrease of the lake's depth from January to August is approximately 14.99%.

To calculate the percentage decrease of the lake's depth from January to August, we need to find the difference between the initial depth (January) and the final depth (August), and then express that difference as a percentage of the initial depth.

The initial depth in January was 1193 feet, and the final depth in August was 1014.05 feet.

To find the difference in depth, we subtract the final depth from the initial depth:

Difference = 1193 feet - 1014.05 feet = 178.95 feet

Next, we calculate the percentage decrease by dividing the difference by the initial depth and multiplying by 100:

Percentage Decrease = (Difference / Initial Depth) × 100

= (178.95 feet / 1193 feet) × 100

≈ 14.99%

Therefore, the percentage decrease of the lake's depth from January to August is approximately 14.99%.

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Question

In january the depth of the lake was 1193 feet. In august the depth of the lake was 1014.05 feet. What is the percentage decrease of the depth of the lake from january to august

Answer:

500=10x50

Step-by-step explanation:

\( = \frac{73}{10} + \frac{31}{5} \\ \\ = \frac{73}{10} + \frac{31 \times 2}{5 \times 2} \\ = \frac{73}{10} + \frac{62}{10} \\ = \frac{135}{10} \\ \frac{27}{2} \\ = 13 \frac{1}{2} \)

ATTACHED IS THE SOLUTION

The given expression is

The description and the word problem can be written as 17 more than three times the number x.

the word problem is,

There are b boys in the class. The number of boys is 17 greater than three times the number of girls.

Then take the number of girls as x.

Work Shown:

Use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (3-3)/(2-10)

m = 0/(-8)

m = 0

The slope of any horizontal line is always zero due to the fact all y coordinates on this line are the same. When we pick two points from the line, the same y coordinates subtract to 0. We can have 0 in the numerator, but not in the denominator.

As the slope formula shows, we basically subtract the y coordinates together, and do the same for the x coordinates as well in the same order. Then we divide the differences.