solve sin∅+ 1 = cos2∅ on the interval 0 ≤ ∅ ≤ 2pie

Answer:

A

Step-by-step explanation:

Because its the most reasonable answer

Answer:

wya

Step-by-step explanation:

Answer:

sophie receives £210

Step-by-step explanation:

120÷4=30

30x7=210

Answer:

\(f(x) = 25 \times {1.25}^{x} \)

Step-by-step explanation:

1.25 ^ -2 = 0.64 × 25 = 16

1.25 ^-3 =0.512 × 25 =12.8

Renee’s layaway fee is $15.95, her down payment is $31.90, and her weekly payments are $7.98 each.

We are given that;

Combined price of the items = $318.95

Layaway fee=5%

Down payment=10%

Now,

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The layaway fee by multiplying the item price by 5%. The formula is: layaway fee=item price×0.05

The down payment by multiplying the item price by 10%. The formula is: down payment=item price×0.1

Calculate the weekly payment by multiplying the item price by 15% and dividing it by 6. The formula is: weekly payment=6item price×0.15​

Plugging in the given values and simplify the expressions. Here are the calculations:

layaway fee=318.95×0.05=15.95

down payment=318.95×0.1=31.90

weekly payment=6318.95×0.15​=7.98

Therefore, by percentage the answer will be $15.95, $31.90, and $7.98

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☆Explanation:

¤ We that area of a Rectangle = length × breadth

¤ Here, it is said to find the area of the given figure.

Now,

Area of first Rectangle = length × breadth

= 9 cm × 4 cm

= 36 cm²

Again,

Area of the second Rectangle = length × breadth

= 14 - 4 × 5

= 10 × 5

= 50 cm²

Finally,

Area of the figure = Area of first Rectangle + Area of second Rectangle.

= 36 cm² + 50 cm²

= 86 cm²

Answer:

(a) 0
(b) 0
(c) 1
The function is not continous at x = 9

Step-by-step explanation:

To the left and right of the point x = 9, the graph would seem to continue at  f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous

Apologies if this is wrong its been a bit since I did calculus

Answer:

Merry Christmas too!!

Step-by-step explanation:

Stay safe lovelots

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Answer: 5/6

Step-by-step explanation:

(2/3×2/2)+(1/6×1/1)=?

4/6+1/6=5/5

Answer:

2/5

Step-by-step explanation:

A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot. The weight of the tabletop, in pounds, is 1032.

The volume of the rectangular tabletop is the product of the length, breadth, and height of the given tabletop.

Volume of rectangular tabletop= (length x width x height)

The tabletop will have a length of eight feet, a width of three feet, and a thickness of one inch.

Volume of rectangular tabletop= (length x width x height)

                                                 = \(8 \times 3 \times 1\\\\24\)

A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot.

The weight of the tabletop, in pounds = 43 x 24

                                                              = 1032 pounds

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Answer:

v = 4.4

Step-by-step explanation:

Let's solve your equation step-by-step.

8/11 = v/6

Step 1: Cross-multiply.

8/11 = v/6

(8)*(6)=v*(11)

48=11v

Step 2: Flip the equation.

11v=48

Step 3: Divide both sides by 11.

11v/11 = 48/11

v= 48/11

v = 4.4

Answer:

There are a total of 25 marbles in the bag.

The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.

Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.

The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.

To find the probability of both events occurring together, we multiply their individual probabilities:

8/25 x 1/8 = 1/25

Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.

When we evaluate the given expression, A/5 + √(B - C), the result obtained is 9 (option B)

First, we shall determine the value of A. Details below:

Quadratic equation is expressed as:

x² - (sum of root)x + product of root

Comparing the above with x² - 11x + 30, we have

x² - 11x + 30 = x² - (sumof root)x + product of root

Product of roots = 30

Thus,

A = 30

Next, we shall determine the value of B. details below:

f(x) = x² + 5

f(2) = 2² + 5

f(2) = 9

Thus,

B = 9

Next, we shall determine the value of C. Details below:

Let

x + 4 = 0

Thus,

x = -4

Substitute the value of x into x² - 2x - 24 to obtain the remainder as shown below:

Remainder = x² - 2x - 24

Remainder = (-4)² - 2(-4) - 24

Remainder = 0

Thus,

C = 0

Finally, we shall determine value of A/5 + √(B - C). Details below:

A/5 + √(B - C) = 30/5 + √(9 - 0)

A/5 + √(B - C) = 6 + √(9

A/5 + √(B - C) = 6 + 3

A/5 + √(B - C) = 9

Thus, the value of A/5 + √(B - C) is 9 (option B)

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Based on the histogram above, the class width is equal to 4.

Based on the histogram above, the sample size is equal to 37.

In a frequency distribution table, a class width can be defined as the difference between the upper (maximum) and lower (minimum) boundaries of any class in a data set. This ultimately implies that, all classes must all have the same width in a frequency distribution table.

Mathematically, the class width of a data set can be calculated by using this formula:

Class width = (max - min)/n

Where:

In this context, the class width of this histogram can be calculated as follows;

Class width = max - min

Class width = 5 - 1

Class width = 4.

Furthermore, the sample size can be computed by adding all the frequencies of the corresponding rectangular bars of the histogram as follows;

Sample size = 6 + 10 + 4 + 2 + 7 + 8

Sample size = 37.

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The thirteenth term of this arithmetic progression a + b, 2a, 3a − b, ..... is a₁₃ = 13a - 11b.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 2a - (a + b) = 2a - a - b

Common difference, d = a - b

Substituting the given parameters into the formula, the 13th term of this arithmetic sequence is given by;

a₁₃ = (a + b) + (13 - 1)(a - b)

a₁₃ = (a + b) + (12)(a - b)

a₁₃ = a + b + 12a - 12b

a₁₃ = 13a - 11b.

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The correct answer would be 3/13

Answer:

3/13

Step-by-step explanation:

because are 13 total and 3 red

Answer:

1 out of ever PUPILS need support

Step-by-step explanation:

4/24=1/6

Answer:

20%

Step-by-step explanation:

Add all ratios

7 + 5 + 13 = 25

Now divide Tara's ratio over the total ratios

5/25 = 1/5 = 0.2 x 100% = 20%

The total amount charged for the ticket including all fees is $64.89 (option C).

Percentage is the fraction of an amount that is usually expressed as a number out of hundred. The sign that is used to represent percentages is %.

Price of the ticket after adding the handling fee = face value x (1 + percentage handling fee / 100)

Price of the ticket after adding the handling fee = $60 x ( 1 + 5%/100)

Price of the ticket after adding the handling fee = $60 x 1.05 = $63

Price after adding the processing fee = price after adding the handling fee + (1 + processing fee)

Price after adding the processing fee = $63 x (1 + 3%/100)

Price after adding the processing fee = $63 x (1.03)

Price after adding the processing fee = $64.89

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Answer:

$26.50

Step-by-step explanation:

2(3)=6

8.50 + 12.00+ 6= 26.50

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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Answer:

1/6

Step-by-step explanation:

3/6 for even 3/6*2/6-----1/2*1/3

The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.

Given information:

The cylinder is sitting on the base of the cone.

The diameter of the base is 14 feet.

The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.

To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.

The surface area of the cone:

The radius of the cone is half of the diameter, which is 7 feet.

The lateral surface area of the cone can be found using the formula:

L = πrs, where r is the radius and s is the slant height.

L = π(7)(9) = 63π square feet

The base of the cone is a circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

The surface area of a cylinder:

The radius of the cylinder is also 7 feet since it shares the same base as the cone.

The lateral surface area of the cylinder is:

L = 2πrh, where r is the radius and h is the height.

L = 2π(7)(11) = 154π square feet

The base of the cylinder is another circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

Total surface area:

Adding the lateral surface area and the base area of the cone and cylinder, we get:

63π + 49π + 154π + 49π = 315π square feet

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Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.

The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.

Here,

The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.

=> P(2) + P(3) + P(4)

=> 1/12 + 2/3 + 1/4

=>  (1 + 8 + 3) / 12

=> 12 / 12 = 1

In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.

In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.

Therefore, a complete probability model cannot be represented by this list.

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There are three area options for the number of bricks:

The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:

n = A / A'

A' = w · h

Where:

There are three possible answers:

Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm

A' = 22.5 · 10

A' = 225

n = 93750 / 225

n = 416.667

n = 416

Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm

A' = 22.5 · 7.5

A' = 168.75

n = 93750 / 168.75

n = 555.556

n = 555

Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm

A' = 10 · 7.5

A = 75

n = 93750 / 75

n = 1250

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Answer:

I don't no the answer sorry

The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

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Answer:

16 kilometres

Step-by-step explanation:

d is 2 hours and because it's times 2 RT would be 16

Answer:

i, .... dont have a clue. :(

Step-by-step explanation:

sorry

Answer:

The answer is C

Step-by-step explanation:

Correct answer shown on edge

The power of 5 of complex number z is (-16√3 + 16) + 4(-√3 + 3)i

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have:

z = 1 + √3i

We have to find: z⁵

z⁵ = (1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)

z⁵ = (-2 + 2√3)(1 + √3i)(1 + √3i)(1 + √3i)

\(\rm z^5=\left(2\sqrt{3}-2\right)+2\left(3-\sqrt{3}\right)i(1+\sqrt{3}i)(1+\sqrt{3}i)\)

\(\rm =\left(-4\sqrt{3}+4\right)+4\left(3-\sqrt{3}\right)i(1+\sqrt{3}i)\)

z⁵ = (-16√3 + 16) + 4(-√3 + 3)i

Thus, the power of 5 of complex number z is (-16√3 + 16) + 4(-√3 + 3)i

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