Help please it would mean a lot

The area of the complex figure is 178 m². Option A

The formula for calculating the area of a rectangle is expressed as;

Area = lw

Given that;

For the bigger rectangle

Area = 16(8)

Multiply

Area = 128m²

For the smaller rectangle

Area = 6(5)

Area = 30m²

For the triangle

Area = 1/ 2× base × height

Area = 1/2 × 8 × 5

Area = 20m²

Add the areas of the three figures

Total area = 128 + 20 + 30

Total area = 178 m²

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The height of the building, given the angle of elevation and the distance from the top of the building, is such that he height of the building is 95 meter.

We shall assume that the building, the distance from the foot and the angle, are in a right - angled triangle.

This means that the height of the building is the opposite side and the given distance is the adjacent side.

The relevant operation would be Tan.

The height of the building would be:

Tan ( 60 ° ) = Height / 55 m

Height = Tan ( 60 ° ) x 55

Height = 95 meters

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Answer:

1968 bottles of water

Step-by-step explanation:

24×82=1968

1968 bottles of water

Answer:

1)
Number of Seats in next three rows: 37, 41, 45

Number of seats in row 21 = 105

2)

Cost for 4, 5, 6 miles:
Miles            Cost($)
4                    14.50

5                    18.00

6                    21.50

Cost for 12 miles = $42.50

Step-by-step explanation:

1) The arithmetic sequence is
25, 29, 33 ....

Each term is 4 more than the previous term

So the next three terms starting with the 4th term area

33 + 4 = 37
37 + 4 = 41

41 + 4 = 45

In terms of the problem statement these are the number of seats in rows 4, 5, 6 respectively

The general equation for an arithmetic sequence nth term is

a(n) = a(1) + d(n - 1)

Here a(1) is the first term; here a(1) = 25

d = difference between successive terms called the common difference; here common difference = 4

n is of course the number of terms to be considered

using the values we have
a(n) = 25 + 4(n- 1)

= 25 + 4n - 4

= 21 + 4n

So the 21st term is a(21)

a(21) = 21 + 4 (21)

= 21 + 84

= 105

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

2. Another arithmetic sequence

The first term is the charge for the first mile = 4

The second term = 7.5 for 2 miles

The third term = 11.5 for 3 miles

So d = 11 - 7.5 = 7.5 - 4 = 3.5

The cost for 4 miles = 11 + 3.50 = $14.50

The cost for 5 miles = 14.50 + 3.50 = $18

The cost for 6 miles = 18 + 3.50 = $21.50

Using the equation for finding the nth term we get

a(n) = a(1) + d(n - 1)
a(n) = 4 + 3.5(n-1)

a(n) = 4 + 3.5n - 3.5

a(n) = 0.5 + 3.5n

We have the following table

Miles            Cost      ($)

1                     4.00

2                    7.50

3                    11.00

4                    14.50

5                    18.00

6                    21.50

For 12 miles which would correspond to the 12 term

a(12) = 0.5 + 3.5(12)

= 0.5 + 42

= $42.50

Using a trigonometric relation we will see that the height is  8.62m

On the diagram we can see a right triangle, where we know one of the angles and the adjacent cathetus and we want to find the opposite cathetus.

Then we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing the values that we know we will get:

tan(72°) = n/2.8m

2.8m*tan(72°) =n = 8.62m

That is the height.

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Answer: B

Step-by-step explanation:

(7x^3-10x^2- 5)-(2x^3+7x^2-9)

= 5x^3 -3x^2-14

The quotient and remainder when 3x^(4)-x^(2) is divided by x^(3)-x^(2)+1 is x+1 and 2x^2-3, respectively.

To find the quotient and remainder, use long division. First, divide the leading terms of both polynomials. 3x^4 divided by x^3 gives x.

Next, multiply the quotient by the divisor and subtract from the dividend. x(x^3-x^2+1) subtract from 3x^4-x^2 gives x+1.

Finally, divide the remainder by the divisor to get the remainder. x+1 divided by x^3-x^2+1 gives 2x^2-3. Therefore, the quotient and remainder when 3x^(4)-x^(2) is divided by x^(3)-x^(2)+1 is x+1 and 2x^2-3, respectively.

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The correct option is B an algorithm. If the wrong password is put in more than five times, Owen's computer will lock for an hour. To prevent this, he is building a programme. An illustration of a "algorithm" is this collection of instructions.

An algorithm is a process used to carry out a computation or solve a problem. In either hardware-based or software-based routines, algorithms operate as a detailed sequence of instructions that carry out prescribed operations sequentially.

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The total decline in employment over the 5-year period is 384 employees.

In 2000, a business had 4000 employees. Each year for the next 5 years, the number of employees decreased by 2%. To find the number of employees at the end of the 5-year period, we can use the formula:

Number of employees = Initial number of employees * (1 - percentage decrease) ^ number of years

= 4000 * (1 - 0.02) ^ 5

= 4000 * 0.98 ^ 5

= 4000 * 0.9039

= 3615.6

Therefore, the number of employees at the end of the 5-year period is approximately 3616.

To find the total decline in employment over the 5-year period, we can subtract the final number of employees from the initial number of employees:

Total decline in employment = Initial number of employees - Final number of employees

= 4000 - 3616

= 384

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Answer:

33.7°

Step-by-step explanation:

the direction angle is calculated as

tanΘ = [tex]\frac{y}{x}[/tex] ( Θ is the direction angle ) , then

tanΘ = [tex]\frac{-4}{-6}[/tex] = [tex]\frac{2}{3}[/tex]

Θ = [tex]tan^{-1}[/tex] ( [tex]\frac{2}{3}[/tex] ) ≈ 33.7° ( to the nearest tenth )

The roots of the equation x^(2)-12x+61=0 in simplest a+bi form are 6 + 5i and 6 - 5i.

The roots of the equation x^(2)-12x+61=0 in simplest a+bi form can be found using the quadratic formula.

The quadratic formula is x = (-b ± √(b^(2)-4ac))/(2a), where a, b, and c are the coefficients of the equation. In this case, a = 1, b = -12, and c = 61.

Plugging in the values into the quadratic formula, we get:

x = (-(-12) ± √((-12)^(2)-4(1)(61)))/(2(1))

Simplifying the equation, we get:

x = (12 ± √(144-244))/2

x = (12 ± √(-100))/2

Since the square root of a negative number is a complex number, we can write the equation as:

x = (12 ± 10i)/2

Simplifying further, we get:

x = 6 ± 5i

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The next three terms in the sequence are 1/81, -1/243, and 1/729.

What is the geometric sequence?

A geometric sequence is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed number called the common ratio. The general form of a geometric sequence is:

a, ar, ar^2, ar^3, ...

where a is the first term, r is the common ratio

To identify the next three terms in the sequence, we need to first determine the pattern. Looking at the sequence, we can see that each term is obtained by multiplying the previous term by -1/3, which means that this is a geometric sequence with a common ratio of -1/3.

Using this common ratio, we can find the next three terms in the sequence as follows:

-1/3 * (-1/27) = 1/81

1/81 * (-1/3) = -1/243

-1/243 * (-1/3) = 1/729

Therefore, the next three terms in the sequence are 1/81, -1/243, and 1/729.

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Answer:

24+2x

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 24+2x

Answer:

If sin = 1⁄2 and lies in the second quadrant, the remaining five trigonometric values are cos = √3/2, tan = 1/√3, cot = √3, sec = 2/√3, and csc = 2. These values can be derived from the basic trigonometric identities and the given value of sin. For example, the cosine of an angle in the second quadrant is the same as the sine of the same angle in the first quadrant, and vice versa. Therefore, since sin = 1⁄2 in the second quadrant, cos = √3/2 in the first quadrant. The other values can be derived in a similar manner

Step-by-step explanation:

The coordinates of Q' after the translation is found to be Q' = (1, -1).

Whenever a figure is relocated from one place to a different one without modifying its dimension, shape, or orientation, a transition known as translation takes place.

Point Q', which has been translated by 6 units to the right and 2 units down, is the mirror counterpart of Q(-5,1).

Then,

Q' = (-5 + 6, 1 - 2)

Q' = (1, -1)

Thus, the coordinates of Q' after the translation is found to be Q' = (1, -1).

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The correct question is-

Point Q', is the image of Q(-5,1), under a translation by 6 units to the right and 2 units down.

What are the coordinates of Q'?

There are 2 quart jars can he fill.

There is 4 pint jar can he fill with any leftover sauce.

Fractions are numerical values that are a part of whole.

Julian is making barbecue sauce to the can. He uses 6 cups white vinegar, 1/2 cup honey, and 1/2 cup maple syrup.

We know that

1 quarts = 4 cups

Total number of cups is;

6 + (1/2) + (1/2) = 7

The total number of jars that he can fill is;

= total number of cups/4

=7/4

=1.75

There are 2 quart jars can he fill.

There are pint jars he can fill with any leftover sauce is;

1 quart = 2 pints

So, 2 quart = 2 × 2 = 4 pints.

There is 4 pints jar can he fill with any leftover sauce.

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The probability of A and B, using conditional probability, is given as follows:

0.24 = 24%.

The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which the probabilities are listed and explained as follows:

To obtain the probability of A and B, the needed parameters are already given in the problem, and are as follows:

Hence the probability of A and B is calculated as follows:

P(A and B) = P(A) x P(B|A)

P(A and B) = 0.6 x 0.4

P(A and B) = 0.24.

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Another inequality that describes the solutions would be: x ∈ (4, ∞)

What is inequality ?

In mathematics, an inequality is a statement that compares two values, expressions, or quantities, and asserts that they are not equal. Inequalities are often expressed using inequality symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

The inequality 3x > 12 can be solved by dividing both sides by 3:

3x/3 > 12/3

x > 4

This means that all values of x greater than 4 are solutions to the inequality 3x > 12.

This notation represents the interval of all real numbers greater than 4, including 4 itself. The symbol "(" means that 4 is not included in the interval, while "∞" indicates that the interval extends indefinitely to the right.

Therefore, Another inequality that describes the solutions would be: x ∈ (4, ∞)

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Answer: 50in^2

Remember the formula for finding the area of a rectangle is:

A = (base)(height)

In this problem you find the area like so:

A = (12[tex]\frac{1}{2}[/tex])(4)

= ([tex]\frac{25}{2}[/tex])([tex]\frac{4}{1}[/tex])

= ([tex]\frac{25}{1}[/tex])([tex]\frac{2}{1}[/tex])

= 50in^2

a)0.1587 (or 15.87%)

b)0.6827 (or 68.27%)

c)0.0228 (or 2.28%)

1. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height less than 63 inches is 0.1587 (or 15.87%).

2. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height between 61 and 69 inches is 0.6827 (or 68.27%).

3. Using the Central Limit Theorem, the probability of finding an average of greater than 65 inches with a sample of 35 female college students is 0.0228 (or 2.28%).

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The area of the shaded diagonal plane is  17.5 square units.

The area of the shaded diagonal plane is calculated as follows:

Using Pythagoras' theorem, let the hypotenuse formed by the diagonal be x

x² = 3² + 5²

x² = 9 + 25

x² = 34

x = √34

The shape of the shaded plane is a rectangle.

The area of the rectangle will be:

Area = length * width

Area = √34 * 3

Area do the shaded plane = 17.5 square units

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The solution of the quadratic equation is x=24/2 and x=-6/2.

To solve the quadratic equation 3x2-27x+60=0, you can use the method of factoring. You can factor this equation by taking out the common factor of 3 from the terms.

That leaves us with x2-9x+20=0, which can be factored into (x-10)(x-2)=0. To solve, you set each factor equal to 0, so x=10 and x=2 are the solutions.

If you forget how to factor on a multiple choice test, you can use other methods such as completing the square or the quadratic formula.

For this equation, completing the square would involve adding and subtracting 92/4 to both sides, which would give us (x-9/2)2=225/4. To solve, you would then take the square root of both sides, resulting in x-9/2=±15/2, or x=24/2 and x=-6/2.

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Answer:

13:00

Make a straight line from the vertex of the current Yuri line to 16:15

Step-by-step explanation:

The expression by using property is 1000(1+0.03)

A number system is defined as a system of writing to express numbers.

Using the distributive property, we can factor out 1000 from the expression for year 1:

Y = 1000 + 0.03(1000) - 1030.00

= 1000(1 + 0.03) - 1030.00

Using the identity property of 1, we can rewrite (1 + 0.03) as:

(1 + 0.03) = 1.03

Substituting back into the expression for year 1, we get:

Y = 1000(1.03) - 1030.00

Hence, the expression by using property is 1000(1+0.03)

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The simplified expression is  [tex]12u^8[/tex].

What is simplification?

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do. For example, take this expression: 4 + 6 + 5.

Here the given expression is ,

=> [tex]-2u^5(-6u^3)[/tex]

Now simplifying the expression,

=> [tex]-2\times -6 \times u^5 \times u^3[/tex]

=> 12[tex]u^{5+3}[/tex]

=> [tex]12u^8[/tex]

Hence the simplified expression is  [tex]12u^8[/tex].

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It is unlikely that the projected rebounds in 15 shots will actually happen.

Total shots fired equals 10.

To find that there were 15 shots total.

Consider S to be the likelihood that your team will rebound and miss a shot.

P(S) = Number of rebounds / Total Number of outcomes

P(S) = 7/15

P(S) = 0.46

Consequently, it is unlikely that the projected rebounds in 15 shots will actually happen.

Thus, it is unlikely that the projected rebounds in 15 shots will actually happen.

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The complete question is-

During a basketball game, you record the number of rebounds from missed shots for each team.  How many rebounds should your team expect to have in 15 missed shots?

Picture for question is attached.

Answer: 8

Step-by-step explanation:

2*3= 6
[tex]\frac{2}{3}[/tex]*3= 2

Bob was on the top rung of his ladder (rung 30) and Roy was on the 15th rung of his ladder when they were at the same height.

Two or more expressions with an Equal sign is called as Equation.

Let's assume that Bob started at the top of his ladder and Roy started at the bottom of his ladder.

If both ladders have 30 rungs, then they have a total height of 30 - 1 = 29 rungs.

If Bob went down two rungs every second and Roy went up one rung every second, then they were changing their height at a rate of -2

Let's use "t" to represent the time they had been climbing. Then, we can write an equation to represent the heights of Bob and Roy at this moment:

Bob's height = 30 - 2t

Roy's height = t

30 - 2t = t

Solving for "t", we get:

t = 15

This means that Bob and Roy were at the same height after 15 seconds of climbing.

Bob's height = 30 - 2t = 30 - 2(15) = 0

Roy's height = t = 15

Therefore, Bob was on the top rung of his ladder (rung 30) and Roy was on the 15th rung of his ladder when they were at the same height.

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Answer:

There are 60 seconds in 1 minute, so in 5 1/2 minutes:

5 minutes x 60 seconds/minute = 300 seconds

1/2 minute x 60 seconds/minute = 30 seconds

Adding those together gives:

300 seconds + 30 seconds = 330 seconds

Therefore, there are 330 seconds in 5 1/2 minutes.

There are 330 seconds in 5 and 1/2 minutes. We find this by converting the minutes (both the whole and the half) into seconds and adding these amounts together.

To calculate the number of seconds in 5 and 1/2 minutes, we need to know the basic fact that 1 minute equals 60 seconds. With this, we can easily convert minutes to seconds by multiplying the number of minutes by 60.

First, let's convert the 5 whole minutes into seconds: 5 minutes x 60 seconds/minute = 300 seconds.

Next, let's convert the half minute: 1/2 minute x 60 seconds/minute = 30 seconds.

FInally, add these two amounts together: 300 seconds + 30 seconds = 330 seconds. Therefore, 5 and 1/2 minutes equals 330 seconds.

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