Surface area of a rectangle

Step-by-step explanation:

If the interest is not compounded, it means that Mabel will earn a simple interest of 11% per year on her principal amount of $30,000.

The formula for calculating simple interest is:

Interest = (Principal x Rate x Time)

Where:

Principal = $30,000

Rate = 11% = 0.11 (as a decimal)

Time = 2 years

So, substituting the values in the formula, we get:

Interest = (30,000 x 0.11 x 2) = $6,600

Therefore, Mabel will earn $6,600 in interest over a period of 2 years.

Step-by-step explanation:

\(x + 3y = 1 \\ - 3x - 3y = - 15 \\ x = 1 - 3y \\ - 3(1 - 3y) - 3y = - 15 \\ - 3 + 9y - 3y = - 15 \\ - 3 + 6y = - 15 \\ 6y = - 15 + 3 \\ 6y = - 12 \\ y = - 2\)

\(y = - 2 \\x = 1 - 3y \\ x = 1 - 3( - 2) \\ x = 1 + 6 \\ x = 7\)

Approximately 39.26 feet is needed to enclose a circular pond with a diameter of 12. 5 feet.

To fin the circumference:

So,

Therefore, approximately 39.26 feet is needed to enclose a circular pond with a diameter of 12. 5 feet.

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The false statement will be g || h since, Line H can not be parallel to , line G or line F.

This is further explained below.

Line B ║ Line F

Line G ║ Line F

In most cases, two lines that are parallel to one another will also be parallel to one another.

Line G ║ Line F ║Line B

In conclusion, If there is more than one line that is parallel to another in a plane, and another line in the plane is perpendicular to one of the parallel lines, then that other line is perpendicular to all of the parallel lines.

Hence

Neither line G nor line F may be parallel to line H. Option D

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Answer:

+3  +5   0   +3

Step-by-step explanation:

negatives are always less then 0 and above

Answer:

1. 3

2. 5

3. 0

4. 3

Step-by-step explanation:

Answer:  4/9

Step-by-step explanation:

Let x represent the denominator. Then the fraction is: (x - 5)/x

Add 1 to the numerator and denominator   →     (x - 5 + 1)/(x + 1) = 1/2

Cross Multiply:                   1(x + 1) = 2(x - 4)

Distribute:                             x + 1 = 2x - 8

Subtract x from both sides:       1 = x - 8

Add 9 to both sides:                  9 = x

Numerator:  x - 5    →     9 - 5 = 4

Denominator:  x     →     9

So the fraction is: 4/9

Adding and subtracting fractions involves combining or separating two or more fractional values. The process of adding or subtracting fractions requires finding a common denominator, which is the least common multiple of the denominators of the fractions being added or subtracted.

Here's the step-by-step process for adding or subtracting fractions:

Find a common denominator: The denominator of a fraction represents the number of equal parts into which a whole is divided. To add or subtract fractions, the denominators must be the same. If the denominators are different, you must find a common denominator by finding the least common multiple (LCM) of the denominators.

Convert the fractions to equivalent fractions with the common denominator: Once you have found a common denominator, you must convert each fraction to an equivalent fraction with the same denominator. You can do this by multiplying both the numerator and denominator of each fraction by the same number.

Add or subtract the numerators and place the sum over the common denominator: After converting each fraction to an equivalent fraction with the same denominator, you can add or subtract the numerators and place the sum over the common denominator to find the result.

Simplify the answer: Finally, simplify the answer by dividing both the numerator and denominator by their greatest common factor, if possible.

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Answer:

\(5\sqrt{3}\)

Step-by-step explanation:

A triangle with angles of 30-60-90 will always have sides that measure in the following proportions:

The side opposite the 30* angle = a

The side opposite the 60* angle = \(a\sqrt{3}\)

The side opposite the 90* angle = 2a

(I used "a" here because your question uses "x" and I don't want to confuse things, but usually people use "x" rather than "a")

They gave us that the hypotenuse (the side opposite the 90* angle) is 10, from there we can figure out the other sides:

Since the side opposite 90* is 2a, and 2a = 10, divide 10 by 2 and you get a = 5.

Once we know what "a" is, we can fill in the rest:

30* = 5

60* = \(5\sqrt{3}\)

90* = 10

Answer:

the present would cost $22.20

Answer:

answer is d

Step-by-step explanation:

I will se anywhere

6/(n² - n - 3) is the expanded form of the expression 6/(n-1)(n-3)

To expand the expression 6/(n-1)(n-3)

we can use the distributive property.

Let's break it down step by step:

6/(n-1)(n-3) = 6/[(n-1) × (n-3)]

Using the distributive property:

= 6/(n² - 4n + 3n - 3)

Combine the like terms in the denominator

= 6/(n² - n - 3)

Now, let's find the sum of this expression. we need to specify the range of values for the variable n.

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Answer:

See below

Step-by-step explanation:

1.  Use x to designate the number of hours worked.

Plumber 1 = 35(x) + 25

Plumber 2 = 40(x)

Now you need to find when these two equations are equal to each other.

35(x) + 25 = 40(x)

Solve for x.

25 = 40x - 35x

25 = 5x

5 = x

So when the service call equals 5 hours, both plumbers will charge the same amount of money.

2.  Use x to designate the number of months.

Center 1 = 30x

Center 2 = 22x + 80 initiation fee

Now you need to make the two equations equal to each other and solve for x.

30x = 22x + 80

30x - 22x = 80    or 8x = 80

x = 10 months

3.  Use x to designate the pounds of the package

Shipper 1 = 14 + 2x

Shipper 2 = 20 + 1.5x

Make the two equations equal to each other.

14 + 2x = 20 + 1.5x

2x - 1.5x = 20 - 14

0.5x = 6

x = 12 pounds

4. Deanna $15 using $0.75 per game.  This means she can play a total of 20 games before having $0.

Lise $13 using $0.50 per game.  This means she can play a total of 26 games before having $0.

So since both end up with $0, you can see that Deanna would play 20 games and Lise would play 26 games.

5.  Use x to designate the call time length.

Hotel 1 = 1 + 0.80x

Hotel 2 = 2 + 0.75x

Make both equations equal to each other.

1 + 0.8x = 2 + 0.75x

0.8x - 0.75x = 2 - 1

0.05x = 1

x = 20

6.  Use x to designate semesters.

Duke = 22 + 6x

Kila = 4 + 12x

22 + 6x = 4 + 12x

22 - 4 = 12x - 6x

18 = 6x

3 = x semesters

For the given expression 2t² is the impulse response, and the given system is linear and the system is unstable

Given, y(t) = 2t{t-4 x(T) dt.
a) To find impulse response, let x(t) = δ(t).Then, y(t) = 2t{t-4 δ(T) dt = 2t.t = 2t².

Let h(t) = y(t) = 2t² is the impulse response.
b) A system is said to be linear if it satisfies the two properties of homogeneity and additivity.

A system is said to be linear if it satisfies the two properties of homogeneity and additivity. For homogeneity,

let α be a scalar and x(t) be an input signal and y(t) be the output signal of the system. Then, we have

h(αx(t)) = αh(x(t)).

For additivity, let x1(t) and x2(t) be input signals and y1(t) and y2(t) be the output signals corresponding to x1(t) and x2(t) respectively.

Then, we have h(x1(t) + x2(t)) = h(x1(t)) + h(x2(t)).

Now, let's consider the given system y(t) = 2t{t-4 x(T) dt.

Substituting x(t) = αx1(t) + βx2(t), we get y(t) = 2t{t-4 (αx1(t) + βx2(t))dt.

By the linearity property, we can write this as y(t) = α[2t{t-4 x1(T) dt}] + β[2t{t-4 x2(T) dt}].

Hence, the given system is linear.
c) A system is stable if every bounded input produces a bounded output.

Let's apply the bounded input to the given system with an input of x(t) = B, where B is a constant.Then, we have

y(t) = 2t{t-4 B dt} = - 2Bt² + 2Bt³.

We can see that the output is unbounded and goes to infinity as t approaches infinity.

Hence, the system is unstable. Therefore, the system is linear and unstable.

Thus, we have found the impulse response of the given system and checked whether the system is linear or not. We have also checked whether the system is stable or unstable. We found that the system is linear and unstable.

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Answer:

2/9

Step-by-step explanation:

senior girls/girls = 4/18 = 2/9

Answer:

2/9

Step-by-step explanation:

Equations −2x+5y=−2 and 4x−10y=4 have no solution.

An inconsistent system is a set of equations that cannot be solved. Although a system of linear equations typically has a single solution, it occasionally may have infinite or no solutions (parallel lines) (same line). The solution set refers to all possible answers to an equation or inequality. The no solution symbol,, is used to indicate that there is no solution to an equation or inequality. None Found: There are no solutions when the lines that make up a system are parallel because the two lines have no points in common.

Given,

Equations,

−2x+5y=−2 .. Equation 1

4x−10y=4 .. Equation 2

Multiplying equation 1 by 2

-4x + 10y = -4

4x - 10 y = 4

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

0

Equations −2x+5y=−2 and 4x−10y=4 have no solution.

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The slope of the plane's altitude gain is 1/7.

The slope of the plane's altitude gain can be calculated using the formula: slope = rise / run, where rise is the change in altitude and run is the horizontal distance covered.

In this case, the rise is 2000ft and the run is 14000ft. Therefore, the slope of the plane's altitude gain is:

slope = 2000 / 14000

slope = 1/7

This means that for every 7 units of horizontal distance covered by the plane, it gains 1 unit of altitude. In other words, the slope represents the steepness of the plane's climb. A slope of 1/7 indicates a relatively gentle climb compared to a steeper slope.

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Answer:

40,560

Step-by-step explanation:

To find how much the farmer recives, we simply multiply:

62,400 * 65% = 40,560

Answer:

2.4

Step-by-step explanation:

Smaller sheet length = 10u

Smaller sheet width = 10u

Smaller sheet area = 10u * 10u = 100u^2

Larger sheet length = 1.5 * 10u = 15u

Larger sheet width = 1.6 * 10u = 16u

Larger sheet area = 16u * 15u = 240u^2

240u^2 / 100u^2 = 2.4

The factor when the area of the larger sheet greater than the area of the smaller sheet should be considered as the 2.4.

Since

Smaller sheet length = 10u

Smaller sheet width = 10u

Now

Smaller sheet area = 10u (10u) = \(100u^2\)

And,

Larger sheet length = 1.5 ( 10u) = 15u

And,

Larger sheet width = 1.6 (10u) = 16u

So,

Larger sheet area = 16u (15u) = \(240u^2\)

Now

\(= 240u^2 \div 100u^2\)

= 2.4

hence, The factor when the area of the larger sheet greater than the area of the smaller sheet should be considered as the 2.4.

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Answer:

-3/4

Step-by-step explanation:

First, let's convert the mixed numbers into improper fractions in an effort to make this problem easier to solve.

-2 1/2 as a mixed number is -5/2 and -1 3/4 as a mixed number is -7/4.

Our problem is now -5/2 - (-7/4).

We still can't solve this because the two fractions do not share a common denominator. 4 can serve as one, so -5/2 with a denominator of 4 would be -10/4.

The problem is now -10/4 - (-7/4).

Two negatives make a positive so the problem can be rewritten as -10/4 + 7/4. The final answer is -3/4.

Answer:

Price increased=rs 52-1=rs 51

So therefore, increased%=51/1 x 100= 5100%

Step-by-step explanation:

Hope this helped!!!!!

The probability that a student will have their first class in a building number that is not a multiple of 8 is 0.883.

The probability of an event is the chance of happening that particular event.

Given, a college has buildings numbered from 1 through 60.

Therefore, the total number of buildings is 60.

The building numbers that are multiple of '8' are 8, 16, 24, 32, 40, 48, 56.

The total number of buildings those are multiple of '8' is 7.

Therefore, the total number of buildings those are not multiple of '8' is

= (60 - 7)

= 53

Now, the required probability is

= 53/60

= 0.883

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The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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The approximate value of -12 + √32  is -6.3 to the nearest tenth.

An approximation is anything that is similar, but not exactly equal, to something else.

The given expression is  −12 + √32

The value of √32 is given as 5.656

Since,after decimal 6 to the right of 5 is greater than 5

To the nearest tenth, we can write as 5.7

∴ √32 = 5.7

For the required value of the expression we can write,

−12 + √32

Put the value of √32

Putting values in expression we have,

-12 + √32 = -12 + 5.7

Solving them

⇒ -12 + √32 = -6.3

Hence,the approximate value of -12 + √32  is -6.3 to the nearest tenth.

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Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

5(-2)+30 = (-10)+30 = 20

Answer:

Step-by-step explanation:

The initial quantity is the quantity at t = 0 time:

Or simply in this kind of equations consider the coefficient as the initial quantity.

Therefore, 24 square units are the answer to the surface area problem that has been given.

Shape is a term used to express how much total area a material's surface takes up. Surface area of a three-dimensional shape is determined by its surrounds added together. Surface area refers to a multi-total shape's surface area covering. A cube with five rectangular sides has a volume of water equal to the sum of the areas of each face. Alternately, you can get the box's dimensions by using the following formula: Surface (SA) equals twice twice twice twice.

Here,

The height of the square in the example is 5-2 = 3.

The base of the provided square is composed of units => 7 -(-1) units => 8 units.

The given square therefore contains an area equal 8 * 3 = 24 square units.

The preceding area problem must therefore be solved using 24 square units.

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In such a situation, I would choose not to endorse the athlete.

From a Christian worldview perspective, moral, ethical, and character standards hold significant importance. Athlete endorsers, as role models, should strive to uphold positive character traits and high moral standards. However, it is evident that in recent years, some athletes have challenged this notion.

When faced with the decision to sign an athlete endorser with questionable character or conflicting moral and ethical values, it is crucial to prioritize one's own values and beliefs. As a Christian, I would consider the impact of endorsing such an athlete on my personal integrity, as well as the message it sends to others.

It is essential to remain true to one's own moral compass and avoid promoting behavior that goes against Christian values. By doing so, I would be staying consistent with my beliefs and upholding the standards I hold dear.

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Answer:

3291÷500 or 6.582

Step-by-step explanation:

98.73 divide by 15 = 6.582

Answer:

y=35

Step-by-step explanation:

3y+25+2y+30+2y-5+y+30=360

Combine like terms then you will get
8y+80=360
8y=280

y=35

Answer:

35°

Step-by-step explanation:

the sum of the angles in a quadrilateral is 360 degrees

let 's make and solve the equation

3y + 25 + 2y + 30 + 2y - 5 + y +30 = 360

Combine like terms then you will get

(3y + 2y + 2y + y) + (25 + 30 - 5 + 30) = 360

8y + 80 = 360

8y + 80 - 80 = 360 - 80

8y = 280

y = 280:8

y= 35