28 Jess bought a new car for £12 000.
In the first year the value of the car depreciates by 20%.
In the second year and the third year the car depreciates by 15%
Work out the value of the car after three years.

Answer:

20.93 units cubed

Step-by-step explanation:

[tex]V = \frac{3.14(2)^{2}(5) }{3} \\V = \frac{3.14(4)(5) }{3}\\V = \frac{62.8 }{3}\\V = 20.93[/tex]

Answer:

[tex]\sf D. \quad P(A|B)=\dfrac{24}{25}[/tex]

Step-by-step explanation:

General equation for conditional probability

[tex]\sf P(A \cap B)=P(A)\:P(B|A)[/tex]

As we need to find P(A|B) we can rewrite the equation:

[tex]\implies \sf P(B \cap A)=P(B)\:P(A|B)[/tex]

Given:

     [tex]\sf P(A \cap B)=\dfrac{4}{5}[/tex]

     [tex]\sf P(B)=\dfrac{5}{6}[/tex]

Remember that [tex]\sf P(A \cap B)=P(B \cap A)[/tex]

Substitute the given values into the formula:

[tex]\implies \sf P(B \cap A)=P(B)\:P(A|B)[/tex]

[tex]\implies \sf \dfrac{4}{5}=\dfrac{5}{6}\:P(A|B)[/tex]

[tex]\implies \sf P(A|B)=\dfrac{4}{5} \div \dfrac{5}{6}[/tex]

[tex]\implies \sf P(A|B)=\dfrac{4}{5} \times \dfrac{6}{5}[/tex]

[tex]\implies \sf P(A|B)=\dfrac{24}{25}[/tex]

Answer:

B) 50%

Step-by-step explanation:

300% is the same as 3. So to find 300% of 7 you do 3 times 7 and get 21.

Now you need to find _% times 42 = 21. Divide 21/42 to get 0.5. This is the same thing as 50%.

Hope it helps and have a nice day! :)

Answer:

[tex]measure \: [/tex]

3/50

Step-by-step explanation:

[tex] \sqrt{3 \: is \: a \: formula \: tht \: has \: equation} [/tex]

92-3 ) DEFIND THE "3"

ANSWER: 3/50

An irrational number is the square root of 5 since it cannot be written as a ratio of two integers.

Irrational numbers are number that cannot be written as a ratio of two integers.

Most irrational numbers are repeating decimals. From the given options, an irrational number is the square root of 5 since it cannot be written as a ratio of two integers.

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Answer:

Formula for the volume id the octagonal prism .......

Step-by-step explanation:

To calculate the area of octagon ( base area) , multiply the perimeter of the octagon by its apothem and divide by 2 .Then, ti get the volume of the octagonal prism u need to multiply the result by the length of the.prism

Answer:

  about 1.01 °C per hour

Step-by-step explanation:

We assume the intended temperature function is ...

  t(h) = 18 +4·sin(π/12(h -8))

We are asked for the rate of change when h=9.

__

The rate of change of temperature with respect to time is the derivative of t(h) with respect to h.

  t'(h) = 4(π/12)cos(π/12(h -8)) = π/3·cos(π/12(h -8))

For h = 9 hours after midnight, the rate of change is ...

  t'(9) = π/3·cos(π/12(9 -8)) = π/3·cos(π/12) ≈ (3.14159)(0.965926)/3

  t'(9) ≈ 1.01152

The rate of change of temperature at 9 a.m. is about 1.01 °C/hour.

10-1 = 9 feet left

9 x 12 = 108 inches

108 / 8 inches per bow = 13.5 bows

she can make 13 bows

Answer:

18 inches

Step-by-step explanation:

The most frequent chain length for women's necklaces is 18 inches. This size is appropriate for a lady of medium height and weight.

The possible dimension of the third side is 10 units.

A right triangle is a triangle that has three sides known as the opposite, adjacent and hypotenuse. The hypotenuse is the longest sides of the triangle. The opposite side is the side that faces an angle. The adjacent side is the third side.

If two side lengths are given, the third side can be determined using the Pythagoras theorem.

√a² + b ² = c

√6² + 8² = √36 + 64 = 10 units

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Answer:

The answer is 1197.42

Step-by-step explanation:

For questions 1 and 2 options, A and D are correct respectively.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

1. In ∆ABC,

a=10 cm, b=18 cm, c=∠105°

For the given data only one triangle is formed. Option A is correct.

2. In ∆ABC, if <A is obtuse and a<c,

An obtuse angle is an angle more than the 90°.The given condition is wrong. None of the triangle is formed from the given options.

Hence for questions 1 and 2 options A and D are correct respectively.

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[tex]~~(x+5)(2x+3)-3(x-2)(6x+5)\\\\=2x^2 +3x + 10x +15 - (3x-6)(6x+5)\\\\=2x^2 +13x +15 - (18x^2 +15x -36x -30)\\\\=2x^2+13x+15-(18x^2 -21x-30)\\\\=2x^2 +13x+15-18x^2 +21x +30\\\\=-16x^2 + 34x+45[/tex]

monkey B

Step-by-step explanation:

f(x) = 16x2 + 32x − 9?

Step-by-step explanation:

c beacuse if you subtract 8 by 2 you get 6 times x

1/5×1/5×1/5=1/125

$ give me a dollar $

Answer: The answer is 5+28.

Step-by-step explanation:

First of all, you have to distribute the term in front of the parenthesis into   the term(s) inside of it. In this case, “5-” is not a term because the “-” symbol is following it. However, we can distribute that particular symbol into the parenthesis. We then have 5+ 28 because - x - = +, and 5 x 7 - 5 = 28.

Answer:

Step-by-step explanation:

since its a horizontal parabola opening to the right we use a formula for the directrix

 x=h-p 4p=5/4 p=5

X= -3 v(h,k)=(2,0)

Answer:

  19 units

Step-by-step explanation:

A regular polygon has equal-length sides. This fact can be used to solve for the value of x, and for the side length. Knowing the side length, we can find the perimeter.

__

 5 -2x = 4x +9 . . . . . marked sides are the same length

  -4 = 6x . . . . . add 2x -9

  -2/3 = x . . . . . divide by 6

  5 -2(-2/3) = 5 +4/3 = 6 1/3 . . . . length of one side

The perimeter is the sum of the side lengths, or 3 times the length of one side.

  P = 3s = 3(6 1/3)

  P = 19 . . . . units

The perimeter of the polygon is 19 units.

[tex]\text{L.H.S}\\\\=\cot^2 \dfrac{\pi}6 -2\cos^2 \dfrac{\pi}{3}-\dfrac 34 \sec^2 \dfrac{\pi}4-4\sec^2 \dfrac{\pi}6\\\\\\=\cot^2 30^\circ -2 \cos^2 60^\circ- \dfrac 34 \sec^2 45^{\circ} -4 \sec^2 30^{\circ}~~~~~~~;[\pi= 180^{\circ}]\\\\\\=\left(\sqrt 3 \right)^2 -2 \left( \dfrac 12 \right)^2 -\dfrac 34 \left(\sqrt 2 \right)^2 -4 \left(\dfrac 2{\sqrt 3} \right)^2\\\\\\=3-2 \cdot \dfrac 14 - \dfrac 34 \cdot 2 -4 \cdot \dfrac 43\\ \\\\=3-\dfrac 12-\dfrac 32 - \dfrac{16}3\\\\\\[/tex]

[tex]\\=\dfrac{9-16} 3 - \dfrac 42 \\\\\\=\dfrac{-7}{3}-2\\\\\\=\dfrac{-7-6}3\\\\\\=-\dfrac{13}3\\\\\\=-4\dfrac 13 \\\\\\=\text{R.H.S}\\\\\\\text{Proved.}[/tex]

Answer:

A=2, B=3, C=5

Step-by-step explanation:

Two polynomials are equal for all values of the variable if the corresponding coefficients are the same. The way to solve the problem is to multiply the RHS, rewrite it in a more orderly way

[tex](Ax-1)(x-B)(x+1)+C = \\Ax^3+(A-AB-1)x^2+(B-AB-1)x +B+C[/tex]

Now, for the two polynomials to be the same we need to have, at the same time

[tex]x^3: A=2\\x^2: A-AB-1= -5\\x:B-AB-1=-4\\1: B+C=8[/tex]

You might notice that we have more conditions than variables, but you can consider one of the two in the middle as a "check" option.

Now, grabbing the value from the first condition into the second we get B=3. Replacing both value in the third we see that the equality still holds, and replacing into the fourth we get C =5.

Step-by-step explanation:

To answer this, we need to plug in 3 as x in the equation f(x) = 5 + 4x².

That would look like this: f(3) = 5 + 4(3)²

f(3) = 5 + 4(3)²

f(3) = 5 + 36

f(5)=41

Therefore, the answer is 41.

I hope this helps!! :)

Answer:

936

Step-by-step explanation:

You multiply 31.2 by 10, so you move the decimal one place to the right, so it's 312, And then, you multiply those numbers by 6 like 3, 1, and 2. For the ones digit 2 x 3 = 6,  for the tens digit, 1 x 3 = 3, and for the hundreds digit, 3 x 3 = 9. Therefore, the answer is 936!

Using it's concept, it is found that the average rate of change for the number of parts that the company produced from day 1 to day 3 is of 87.

It is given by the change in the output divided by the change in input.

In this problem, in 2 days, from day 1 to day 3, the number of parts increased from 66 to 240, hence the rate of change is given by:

r = (240 - 66)/2 = 87.

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The correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle are (6,6√3, 12).

A triangle has three angles of 30-60 and 90 degrees in which the two sides are perpendicular to each other.

The three sides of the triangle will be calculated by applying the Pythagorean theorem:-

The sum of the square sides will be equal to the square of the third side.

For sides  (6,6√3, 12)

12² = 6² + (6√3)²

144 = 36 + (36 x 3)

144 = 36 + 108

144 = 144

Therefore the correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle (6,6√3, 12).

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All the points  The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

When we plot all the points on the graph we can see that all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) are located in the solution region.

Therefore all the points  The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.

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Answer:

16 less than two times a number "x"

Step-by-step explanation:

you must do it by step

Solution ,

here,

x+32=180 [Sum of straight angle]

x=180 - 32

x=148

ans

Answer:

  (a)  SW/VW

Step-by-step explanation:

In similar triangles ΔTUS and ΔVWS, corresponding angles are congruent. That means angle W will have the same measure and trig function values that angle U has.

The mnemonic SOH CAH TOA reminds you that the cosine ratio in this right triangle is ...

  Cos = Adjacent/Hypotenuse

__

In ΔVWS, the side adjacent to angle W is side SW. The hypotenuse of the triangle is side VW. Then the cosine of interest is ...

  cos(U) = cos(W) = SW/VW