A ramp slopes upward
from the sidewalk to the entrance of a
building at a constant incline. If the
ramp is 2 feet high when it is 5 feet
from the sidewalk, how high is the
ramp when it is 7 feet from the
sidewalk

Answer:

-19

Step-by-step explanation:

Answer:

The Area of a circle is

[tex]\pi {r}^{2} [/tex]

Therefore the Area of Circle A is

[tex]\pi {8}^{2} \\ 201.06[/tex]

Area of Circle B is

[tex]\pi {10}^{2} \\ 314.16[/tex]

Circle C

[tex]\pi {14}^{2} \\ 615.75[/tex]

Circle D

[tex]\pi {13}^{2} \\ 530.93[/tex]

Answer:

3x + y^3 z

3×x+y×y×y×z

there is common 1

1(3×x+y×y×y×z)

factor =1,&(3x+y³z)

Answer:

[tex] a_{n} = (6){3}^{n - 1} [/tex]

Step-by-step explanation:

6, 18, 54

First, recognize that this is a geometric sequence. To find the common ratio, divide the f

second term by the first term.

18/6 = 3

Check this with the second and third term.

54/18 = 3

Your common ratio is 3.

An explicit formula for a geometric equation is:

[tex] a_{n} = a_{1} {r}^{n - 1} [/tex]

We know the first term is 6 and the common ratio is 3. Plug in these values.

[tex] a_{n} = (6) {3}^{n - 1} [/tex]

This is your formula.

Hope this helps!

Answer:

54( 1/3)n-1

Step-by-step explanation:

Answer: 472392

Step-by-step explanation:

the pattern is three times the last number e.g.

8x3=24

24x3=72

72x3=216

Then to find the 11th term you continue this pattern.

5=648

6=1944

7=5832

8=17496

9=52488

10=157464

11=472392

Answer:

percentage profit = 150%

Step-by-step explanation:

percentage profit = sp - cp/cp * 100

sp is the selling price = 60000

cp is the cost price = 24000

percentage profit = 60000-24000/24000 * 100

percentage profit = 36000/24000 * 100

percentage profit = 36000/240

percentage profit = 150%

Answer:

A) - 13 < x < - 1

Step-by-step explanation:

1) Rewrite the inequality without the absolute value.

[tex] - 6 < x + 7 < 6[/tex]

2) Subtract 7 from the whole equation.

[tex] - 6 - 7 < x < 6 - 7[/tex]

3) Simplify.

[tex] - 13 < x < - 1[/tex]

Therefor, the answer is the first option.

Answer:

A) –13 < x < –1

Step-by-step explanation:

|x + 7| < 6

Separate into possible cases

[tex]x + 7 < 6 \\x +7 \geq 0[/tex]

Solve the inequalities

[tex]x < - 1, x \geq -7\\x > -13, x < -7[/tex]

Find the intersections

[tex]x = (-7, -1)\\x = (-13, -7)[/tex]

Find the union

Answer: A) –13 < x < –1

Answer:

x = -18

Step-by-step explanation:

Distribute: 3*5x = 15x ; 3*-6 = -18 ; 6*2x = 12x ; 6*-12 = -72

15x - 18 = 12x - 72

Add 18 to both sides: 15x = 12x - 54

Subtract 12x from both sides: 3x = -54

Divide both sides by 3: x = -18

Answer:

x= 17.666666...

Step-by-step explanation:

3(5x - 6) = 6(2x - 12)

(3 times 5x , 3 times  -6)             (6 times 2x, 6 times - 12)

15x-18 = 12x -72           (multiply insides)

-12x       -12x              (remove 12x from right side)

3x-19 = -72                (product)

   +19 = +19                (add 19 left side to remove it)

3x = 53                        (product)

x = [tex]\frac{53}{3}[/tex]                              (divide)

x= 17.666666...                (answer)

x = 17.67                     (if simplify)

Answer:

It should be the last one: 57,905.84 inches

Step-by-step explanation:

Answer:

1000

Step-by-step explanation

200+200=400

so

500+500=1000

Answer:

64

Step-by-step explanation:

the red height is 48 by pythagorean, and by 3:4:5 similarity x=64.

Answer:

Answer

is B

10√2

Step-by-step explanation:

is: √200

Simplifying the given expression, we get:

200 = 2 x 2 x 2 x 5 x 5

⇒ 200 = (2)² x (5) ² x 2

Answer:

b

Step-by-step explanation:

Answer:

Monomials mean one

binomials mean two

trinomials mean three

Step-by-step explanation:

mono means one

bino means two

Trump means three

Answer:

monomial, binomial, and trinomial is a polynomial. They are special members of the family of polynomials and so they have special names. We use the words ‘monomial’, ‘binomial’, and ‘trinomial’ when referring to these special polynomials and just call all the rest ‘polynomials’.

polynomial—A monomial, or two or more monomials, combined by addition or subtraction

monomial—A polynomial with exactly one term

binomial— A polynomial with exactly two terms

trinomial—A polynomial with exactly three terms

Answer:

the table part is easy, just copy the number on the left and put the letter written on top ( for a it should be 2a, 4a, 6a and so on)

ii - 3

iii - 1/6

iv - 1/3

Answer:

2x² +7x - 4

Step-by-step explanation:

(2x-1)(x+4)

2x² + 8x - x - 4

simplify:

2x² +7x - 4

a^2=b^2+c^2

×=11; a^2=(6×11+7)^2+(3×11)^2

a^2=6418

so the length is estimately 80.11

Answer:

1. x⁴³/³⁵

2. 1/x⁶

3. x⁴/2

Step-by-step explanation:

1. ⁷√x³. ⁵√x⁴

The above expression can be simplified as follow:

Recall:

ᵐ√aⁿ = aⁿ/ᵐ

⁷√x³ × ⁵√x⁴ = x³/⁷ × x⁴/⁵

Recall:

aⁿ × aᵐ = aⁿ⁺ᵐ

x³/⁷ × x⁴/⁵ = x⁽³/⁷ ⁺ ⁴/⁵⁾ = x⁴³/³⁵

Therefore,

⁷√x³. ⁵√x⁴ = x⁴³/³⁵

2. x¯³ / x⁵x¯²

The above expression can be simplified as follow:

Recall:

aⁿ × aᵐ = aⁿ⁺ᵐ

x⁵x¯² = x⁵ ⁺ ⁽¯²⁾ = x⁵ ¯ ² = x³

Thus,

x¯³ / x⁵x¯² = x¯³ / x³

Recall:

aⁿ / aᵐ = aⁿ ¯ ᵐ

x¯³ / x³ = x¯³ ¯ ³ = x¯⁶

Recall

a¯ⁿ = 1/aⁿ

x¯⁶ = 1/x⁶

Therefore,

x¯³ / x⁵x¯² = 1/x⁶

3. 5(x⁴)³ / 10x⁸

The above expression can be simplified as follow:

Recall:

(aⁿ)ᵐ = aⁿ×ᵐ

5(x⁴)³ / 10x⁸ = 5x¹² / 10x⁸

Recall:

aⁿ / aᵐ = aⁿ ¯ ᵐ

5x¹² / 10x⁸ = (5/10)x¹² ¯ ⁸ = 1/2 x⁴ = x⁴/2

Therefore,

5(x⁴)³ / 10x⁸ = x⁴/2

Answer:

emmm we cant graph

Step-by-step explanation:

there   isnt one. just go from the y intercept and go 2 up and 5 left.

Answer:7y=-4x+1

Step-by-step explanation:

y=mx+c

-5=-4/7(-9)+c

c=1/7

y=-4/7x+1/7

7y=-4x + 1

Answer:

51

Step-by-step explanation:

51

Answer:

The cost of 8 balls is Rs $ 120.

Step-by-step explanation:

Given that 15 balls cost Rs $ 225, to determine the cost of 8 balls it is necessary to perform the following mathematical calculation:

(225/15) x 8 = X

15 x 8 = X

120 = X

Thus, the cost of 8 balls is Rs $ 120.