David is twice as old as Rachel. Peter is 5 years older than David and Kim is 3 years
younger than Rachel. Which represents the order of the children by age, from youngest
to oldest?

Answer:

$1470

Step-by-step explanation:

$2100 * 70% = $1470

Answer:

$12644.56

Step-by-step explanation:

one year = 12 month

4,000 * (1.02)^(6*12) = 16644.5615

16644.5615-4000 = 12644.5615

Answer:

Step-by-step explanation:

[tex]A=P(1+r/c)^{ct}\\ \\ A=4000(1+.02/12)^{12(6)}\\ \\ A\approx \$ 4509.54[/tex]

Answer:

7x+4= 8-3x

Step-by-step explanation:

Answer: x = 8 ± 2i root 2

Answer:

Thank you so much! I don't think i necessarily have to answer this at all since you already did!

Step-by-step explanation:

edge approved ;p  

edit; ok now I feel kind of bad about using an answer slot just to thank you... SORRY!!!!!!!!!!

Answer:

[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]

Step-by-step explanation:

We can use basic trigonometric functions to find the closest height of the escalator.

Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.

Since all triangles have an angle sum of 180:

Now we know that the triangle looks something like this.

                   /  | 41°

                 /    |

               /      |

            /         |

30      /           |

       /              |                                                

     /                |

  /                   |

/__________| 90°

49°

We need to find the length of the side between the 41 and 90° angle.

To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).

Let's set up an equation and solve with our calculator.

We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.

Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.

Hope this helped!

Answer:

The answer is B.

Step-by-step explanation:

B. 22.5 feet

Answer:

-3y ( 1, -1 )

Step-by-step explanation:

you start at -3y and move up 2 times and you'll be at ( 1, -1 )

Answer:

6 ≤x

Step-by-step explanation:

12 + 11/6x ≤ 5+3x

Subtract 11/6x from each side

12 + 11/6x - 11/6x ≤ 5+3x-11/6x

Subtract 5 from each side

12 + 11/6x - 11/6x -5 ≤ 5+3x-11/6x-5

7 ≤ 3x-11/6x

Get a common denominator

7 ≤ 18/6x-11/6x

7 ≤7/6x

Multiply each side by 6/7

6/7 *7 ≤ 6/7 *7/6x

6 ≤x

Answer:

y^2

step-by-step-explanation:

Answer:

7×7-5/7+3(5)

49-5/7+15

44/22

=2

so c squared - b

over c+3b is =2

Answer:

The slope is 4

Step-by-step explanation:

rise over run

Answer: 18 miles.

Step-by-step explanation:

We can think on this as a triangle rectangle, where one cathetus is 12miles, and the other cathetus is 5 miles. (so the vertex of the triangle rectangle are Annie's house, the school, and the store)

The path that Annie would do is:

From her house to the store (so she drives 5 miles)

And from the store to the school, so here she drives through the hypotenuse of the triangle rectangle.

Then we need to find the length of this triangle rectangle.

We know that the square of the hypotenuse is equal to the sum of the squares of the cathetus, then:

H^2 = (12mi)^2 + (5mi)^2

H = √( (12mi)^2 + (5mi)^2) = 13mi

Then she first drives 5 miles from her house to the store, and then drives 13 miles from the store to the school, then the total distance that she drives is:

5 miles + 13 miles = 18 miles.

Answer:

The books in the library are 1040

Answer:

[tex]P(x) = 2x^3 - 8x^2 + 6x[/tex]

Step-by-step explanation:

Given

[tex]p =2[/tex] -- Leading coefficient

[tex]Zeros: 0, 1\ and\ 3[/tex]

Required

Determine the polynomial

Represent the zeros with a, b and c.

Such that

[tex]a = 0[/tex]

[tex]b = 1[/tex]

[tex]c = 3[/tex]

The polynomial is:

[tex]P(x) = p * (x - a) * (x - b) * (x - c)[/tex]

[tex]P(x) = 2 * (x - 0) * (x - 1) * (x - 3)[/tex]

[tex]P(x) = 2x * (x - 1) * (x - 3)[/tex]

Open bracket

[tex]P(x) = (2x^2 - 2x) * (x - 3)[/tex]

[tex]P(x) = 2x^3 - 6x^2 - 2x^2 + 6x[/tex]

[tex]P(x) = 2x^3 - 8x^2 + 6x[/tex]

Answer:

Step-by-step explanation:

[tex]\bold{\frac23(2x-4) = \frac13(4x + 6)}\\\\\bold{\frac43x-\frac83= \frac43x + 2}\qquad\qquad\qquad \{subtract\ \frac43x\ from\ both\ sides\}\\\\\bold{-\frac83= 2}[/tex]

Inconsistent means no solution

Answer:

Please Provide the an attachment.Then i can show u my answer

Answer:

15 units

Step-by-step explanation:

To find the length of figure B multiply the corresponding length of figure A by the scale factor, that is

length = 10 × [tex]\frac{3}{2}[/tex] = 5 × 3 = 15

Answer:

[tex]2x^3y^3[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{2x^5y^7} * \sqrt[3]{4x^4y^2} \\\\2x^3y^3[/tex]

Answer:

Amir's car will cost £10348.88 after 23 years.

Step-by-step explanation:

I finally found a UK human!

This is compound interest so you have to find a decimal multiplier and multiply that with £16470 to the power of 23.

The decimal multiplier would be 0.98. This is because you do 100% - 2% as depreciating basically means a decrease, which gives you 98% and then you divide that by 100 to get your decimal multiplier - 0.98.

16470 × [tex]0.98^{23}[/tex] = £10348.88

I hope that helps you!! ^-^

Step-by-step explanation:

We need to use inverse operations to isolate x by itself.

The inverse of addition is subtraction so we can subtract 2 from both sides

[tex]5x + 2 - 2 = 22 - 2[/tex]

[tex]5x = 20[/tex]

Divison is the inverse of multiplication so we can divide 5 by both sides to find the answer of x.

[tex] \frac{5x}{5} = \frac{20}{5} [/tex]

[tex]x = 4[/tex]

We can plug 4 in for a to verify it

[tex]5(4) + 2 = 22[/tex]

[tex]20 + 2 = 22[/tex]

[tex]22 = 22[/tex]

So it is true.

Answer:

x=0

Isolate the variable by dividing each side by factors that do not contain the variable.

Answer:

55 cm²

Step-by-step explanation:

side length of square = perimeter/4 = 40/4 = 10 cm.

area of square = side x side = 10 x 10 = 100 cm²

area of triangle #1 = 1/2bh = 1/2(3)(10) = 15

area of triangle #2 = 1/2bh = 1/2(6)(10) = 30

100 - 15 - 30 = 55 cm²

Answer:

i think you have to change it to -x^2y+xy^2

Step-by-step explanation:

I am so sorry if i am wrong but have a good day!

Answer:

In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign. When seeking a solution, one or more variables are designated as unknowns.

Using our trig functions, we know that tan x = opposite side of a right triangle divided by the adjacent side of the right triangle.

So, tan x = p/r.

Answer: tan x°

The trigonometric function gives the ratio of different sides of a right-angle triangle. The ratio of p and r can be written as tan(x°) and sec(y°).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As per the given figure, the ratio of the p\r can be written as shown below,

In terms of angle x,

tan(x°) = p units / r units

tan(x°) = p/r

In terms of angle y,

tan(y°) = r / p

1 / tan(y°) = r/p

sec(y°) = r/p

Hence, the ratio of p and r can be written as tan(x°) and sec(y°).

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

#SPJ5

Answer:

No answer just clues

Step-by-step explanation:

x/100*160/1=185/1

y/100*56/1=77/1

I just can't do anymore metal math today, sorry.

Answer:

about 62%

Step-by-step explanation:

add all of the numbers

subtract the number of purple skittles

do 16÷26

multiply your answer by 100

get 61.5

round up