Jessica, an experienced bungee jumper, leaps from a tall bridge and falls toward the river below. The bridge is 200 feet above the water and Jessica's bungee cord is 130
feet long unstretched. When will Jessica's cord begin to stretch? Round your answer to two decimal places

Answer:

14644552+25625568

=40270120

Step-by-step explanation:

is right answer

Answer:

the answer would be x^2 - 2x + 3

have a good day !! :D

Step-by-step explanation:

Answer:

D. x2 – 2x + 3

Step-by-step explanation:

Edge 2023

Answer:

X-7y+391

Step-by-step explanation:

First multiply

8x47=376

Now group those that are the same together

X-3y -4y+376 +15

X-7y+391

Answer:

x - 7y + 391

Step-by-step explanation:

[tex]x - 3y + 8 \times 47 + 15 - 4y[/tex]

[tex]x - 3y + 376 + 15 - 4y[/tex]

[tex] - 3y - 4y = (- 3 - 4)y = - 7y[/tex]

[tex]x - 7y + 376 + 15[/tex]

[tex] = x - 7y + 391[/tex]

Answer:

46666

Step-by-step explanation:

Answer:

The water level would rise by [tex]5\; \rm cm[/tex].

Step-by-step explanation:

Assume that the initial water level is [tex]h\; \rm cm[/tex].

Before the cube was placed in the tank, the volume of the water was the same as the volume of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a height of [tex]80\; \rm cm[/tex], and a height of [tex]h\; \rm cm[/tex]:

[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times h\; {\rm cm} \\ =\; & (80 \times 160) \, h \; \rm cm^{3} \end{aligned}[/tex].

Let the rise in the water level in the tank be [tex]x\; \rm cm[/tex]. The new water level would be [tex](x + h)\; \rm cm[/tex].

The volume of the water and the submerged cube, combined, would be the same as that of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a width of [tex]\rm 80\; \rm cm[/tex], and a height of [tex](x + h)\; \rm cm[/tex]:

[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times (x + h)\; {\rm cm} \\ =\; & (80 \times 160) \, (x + h) \; \rm cm^{3} \end{aligned}[/tex].

In other words:

Therefore, the volume of the submerged cube could be expressed as:

[tex]\begin{aligned} & (80 \times 160) \, (x + h) \; {\rm cm^{3}} - (80 \times 160) \, h \; \rm cm^{3} \\ =\; &(80 \times 160)\, x\; {\rm cm^{3}}\end{aligned}[/tex].

On the other hand, the volume of the cube could be expressed as:

[tex](40\; \rm cm)^{3} = 64000\; \rm cm^{3}[/tex].

Equate these two expressions for the volume of the cube and solve for [tex]x[/tex], the rise in the water level in the tank:

[tex](80 \times 160)\, x = 64000[/tex].

[tex]x = 5[/tex].

In other words, the rise in the water level in this tank would be [tex]5\; \rm cm[/tex].

Step-by-step explanation:

______

0.7857142

note the first 7 is not included in the bar

Answer:

Step-by-step explanation:

P{2 of 4 tagged}=(52)(152)(204)  

=0.2167

9514 1404 393

Answer:

Step-by-step explanation:

We understand this to be two separate problems.

  -3/9 +(-2 9/10) = -(3/9 +2 9/10)

  = -(10/30 +87/30) = -97/30 = -3 7/30

__

  -3√(8 +(-2(9/10))) = -3√(8 -1.8) = -3√6.2 ≈ -7.46994

__

Additional comment

A calculator can help with these, especially if it is able to deal with rational numbers. (Many graphing calculators and some scientific calculators will do that more or less nicely. My favorite Android calculator app makes arithmetic with fractions and mixed numbers very easy.)

Answer:

13

Step-by-step explanation:

Since the angles form 180 degrees, it will be what the equation is equal to.

Make the equation:

8r + 5 + 5r + 6 = 180

Combine like terms:

8r + 5 + 5r + 6 = 180

13r + 5 + 6 = 180

13r + 11 = 180

Solve:

13r + 11 = 180

       -11     -11

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

     13r = 169

    ------   ------

      13      13

        r = 13

Hope this helped.

Answer:

1

Step-by-step explanation:

Work Shown:

9 trains headed north

5+4+9 = 18 trains total

P(north) = (# of north)/(# total) = 9/18 = 1/2

9514 1404 393

Answer:

  42.4 m²

Step-by-step explanation:

The area can be found from the formula ...

  Area = 1/2ab·sin(C)

  Area = (1/2)(8 m)(12 m)sin(62°) ≈ 42.4 m²

Answer:

Step-by-step explanation:

2

Answer:

It's irrational

Step-by-step explanation:

An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.

Answer:

Rational

Step-by-step explanation:

Irrational numbers go on FOREVER.

An example is

1. π

2.[tex]\sqrt{2}[/tex]

....

Surds are irrational. A surd is a square root of a number that goes on forever.

Some irrational numbers have recurring digits (repeating digits)

10/3 is an example:

3. 333333333333333333333333333333333333333333............

Answer:

- 376

Step-by-step explanation:

8u = 8(- 8i + 3j ) ← multiply each element by 8

    = - 64i +24j

Then

(- 64i + 24j ) • (4i - 5j )

= (- 64 × 4) + (24 × - 5)

= -256 + (- 120)

= - 256 - 120

= - 376

Answer:

= 12

Step-by-step explanation:

2 × {4 ÷ 2 -5}^2 -6

Solve the brackets first

2 × { 2 -5}^2 -6

2 ×{-3 }^2 -6

2 × 9 -6

18 -6

= 12

Step-by-step explanation:

[ 4 ÷ 2 - 5 ] ² - 6

(2 - 5)² - 6

(-3)² - 6

9 - 6

= 3

Answer:

[tex]3.4 \: apple \: pounds = 5.61 \: dollars \\ 1 \: apple \: pound = \{ \frac{(1 \times 5.61)}{3.4} \} \: dollars \\ \\ = { \boxed{ \boxed{1.65 \: dollars \: per \: pound}}}[/tex]

Answer:

1.65

Step-by-step explanation:

5.61/3.4=1.65

Answer:

7.5

Step-by-step explanation:

168.75 divided by 22.5 = 7.5

$7.50 dollars an hour.

7.50 x 22.5 = 168.75

Answer:

-1/2

Step-by-step explanation:

3(y+13 )=36

y+13=12

y=-1

(1/2) x -1 = -1/2

3(y + 13) = 36

Distribute the 3

3y + 39 = 36

Subtract 39 from both sides.

3y = -3

Divide both sides by 3

y = -1

1/2y = 1/2(-1) = -1/2

Answer: $14.5

Step-by-step explanation:

Answer:

D. (16, 16)

Step-by-step explanation:

[(-1×8)+(4×6) , (2×8)+(0×6)]

[(-8 + 24) , (16 + 0)]

= [16 , 16]

Answer:

49.12 ft^2

Step-by-step explanation:

The triangle:

Area = 1/2 * base * height

= 1/2 * 6 * 8

= 24

The semicircle:

Area = 1/2 * 3.14 * 4^2

= 25 .12

Total area = 24 + 25.12

= 49.12 fT^2

Answer:

See Below.

Step-by-step explanation:

By definition, if two functions, f and g, are inverses, then:

[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]

We are given the two functions:

[tex]\displaystyle g(x) = \sqrt{x + 8} -4 \text{ and } f(x) = x^2 + 8x + 8[/tex]

Find f(g(x)) and g(f(x)):

[tex]\displaystyle \begin{aligned} f(g(x)) &= (\sqrt{x + 8} -4)^2 + 8(\sqrt{ x+ 8}-4) + 8 \\ \\ &= ((x+8) -8\sqrt{x + 8} +16) + 8\sqrt{x + 8} - 32 + 8 \\ \\ &= x + (-8\sqrt{x+8} + 8\sqrt{x + 8}) +(16 - 32 + 8 + 8) \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned}g(f(x)) &= \sqrt{(x^2 + 8x + 8) + 8} - 4 \\ \\ &= \sqrt{x^2 + 8x+16 } - 4 \\ \\ &=\sqrt{(x+ 4)^2} - 4 \\ \\ &= (x +4) - 4 \\ \\ &= x \stackrel{\checkmark}{=} x \end{aligned}[/tex]

Hence, f and g are indeed inverses of each other.

Answer:

well i know the first one

-19+3(-13+4*3)

= -19+3(-13+12)

= -19+3(-1)

= -19-3

= -22

Answer:

12 cookies = 10minutes

200 cookies = x minutes

cross multiply

200×10 = 12x

2000= 12x

divide both sides by 12

X = 166.67 minutes

Step-by-step explanation:

that is 200 cookies will take 166.67 minutes

Answer:

[tex]12 \: cookies \: in \: 10 \: minut \: \\ 1 \: cookie \: in \: \frac{10}{12} = \frac{5}{6} \: minute \\ for \: 200 \: cookies = \frac{5}{6} \times 200 = 166.67 \: minute \\ thank \: you[/tex]

Answer:

126 cats .................

126 dogs........