Suppose a skydiver (mass = 80 kg) is falling toward the Earth. Calculate the skydiver’s Gravitational Potential Energy at the point when the skydiver is 100 m above the Earth.

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Answer:

-12, -11, -10 and -9 add up to -42

Step-by-step explanation:

We can solve this by expressing all four of those integers relative to the first one:

[tex]x + (x + 1) + (x + 2) + (x + 3) = -42\\4x + 6 = -42\\4x = -48\\x = -12[/tex]

so we know that the lowest one is -12, and the other three are sequentially higher value:

-12, -11, -10 and -9

Answer: -12, -11, -10, -9

Step-by-step explanation:

they all add up to -42

Answer:

-7

Step-by-step explanation:

Answer:

-7. the number with x is always the slope in this sort of equation. The 12 in this equation is the y-intercept

Step-by-step explanation:

Answer:

877.1929824561 dollars

Step-by-step explanation:

100000÷114= 877.1929824561 dollars

hope it helps!

Answer:

2.925

this is the answer

Answer:

2.93

Step-by-step explanation:

This is because when rounding, anything above five is rounded up and the number in the hundredths place will be rounded up a number.

Answer:

S = 27/8

Step-by-step explanation:

We need to find the actual sum of [tex]1\dfrac{3}{4}+1\dfrac{5}{8}[/tex].

We need to find how much Devid grew in two years.

[tex]1\dfrac{3}{4}=\dfrac{7}{4}[/tex]

and

[tex]1\dfrac{5}{8}=\dfrac{13}{8}[/tex]

Sum means,

[tex]S=\dfrac{7}{4}+\dfrac{13}{8}\\\\=\dfrac{7(2)+13}{8}\\\\=\dfrac{14+13}{8}\\\\=\dfrac{27}{8}[/tex]

Hence, the answer is 27/8.

Step-by-step explanation:

5x - 4y + 10

= 5(2) - 4(-3) + 10

= 10 + 12 + 10

= 32.

Answer:

D

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

For a pentagon with n = 5 , then

sum = 180° × 3 = 540° , thus

x = 540° ÷ 5 = 108

For an octagon with n = 8, then

sum = 180° × 6 = 1080° , thus

y = 1080° ÷ 8 = 135

Thus

x + y = 108 + 135 = 243 → D

Answer:

Step-by-step explanation:

if we received 706.25 dollars and a ticket is 6.25

706.25/6.25=113 tickets sold

Answer:

113

Step-by-step explanation:

You have to divided 706.25 by 6.25 and then you get 113. 113 is your anwser.

Hope this helped!

Answer:

60x+300=96x-24

324=36x

x=324/36

x=9

yes it is correct

The value of x is 5, the correct option is B

A quadrilateral with one side parallel to the other is a Trapezoid.

The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.

In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.

The length of AB = 12.6

The length of the midline EF = 8.8

The value of x =?

From the definition,

8.8 = (12.6 + x) /2

8.8 * 2 = 12.6 +x

x = 5

Therefore,the correct option is B.

To know more about Trapezoid

https://brainly.com/question/8643562

#SPJ2

Answer:

x is in top of 5.9

Step-by-step explanation:

hope it helps u find x and if you still cant find it try some glasses

Answer:

11.8

Step-by-step explanation:

because those two 5.9 if you look those two segments put together make a line that is the same length as x so if you add them up it's 11.8

Answer:

1.99

Step-by-step explanation:

15.92 divided by 8 = 1.99

Hope this helps. :)

Also you can find this on a calculator.

First one is -1. The second one is 1/2.

Answer:

W=32

Step-by-step explanation:

16x2=32

32/2=16

Step-by-step explanation:

Point C with coordinates (3, 8) does not satisfy y = 2x as 8 is not equal to 2(3).

Hence the answer is C.

Answer:

Hay 50 latas en total que tocan el fondo de la caja.

Step-by-step explanation:

Una caja de cartón es representada por un cuadrilátero, cuyas caras son rectángulos. Si la caja esta ocupada por completo, entonces la cantidad total de latas es representada por la siguiente expresión:

[tex]n_{V} = n_{w}\cdot n_{h}\cdot n_{l}[/tex] (1)

Donde:

[tex]n_{V}[/tex] - Total de latas de atún, adimensional.

[tex]n_{w}[/tex] - Cantidad de latas de atún a lo ancho de la caja, adimensional.

[tex]n_{h}[/tex] - Cantidad de latas de atún a lo alto de la caja, adimensional.

[tex]n_{l}[/tex] - Cantidad de latas de atún a lo largo de la caja, adimensional.

De acuerdo con el enunciado, tenemos las siguientes relaciones:

[tex]n_{V} = 400[/tex] (2)

[tex]n_{l} = n_{w} +5[/tex] (3)

[tex]n_{h} = n_{w}+3[/tex] (4)

Si aplicamos estas fórmulas a (1), tenemos el siguiente polinomio de tercer orden:

[tex]n_{w} \cdot (n_{w}+5)\cdot (n_{w}+3) = 400[/tex]

[tex]n_{w}\cdot (n_{w}^{2}+8\cdot n_{w}+15) = 400[/tex]

[tex]n_{w}^{3}+8\cdot n_{w}^{2}+15\cdot n_{w} -400 = 0[/tex]

Este polinomio se puede resolver por vía analítica por el Método de Cardano o por vía numérica, sus raíces son:

[tex]n_{w,1} = 5[/tex], [tex]n_{w,2} = -6.5+i\,6.144[/tex], [tex]n_{w,3} = -6.5-i\,6.144[/tex]

En consecuencia, la única solución válida es [tex]n_{w} = 5[/tex] y las variables restantes son por (3) y (4):

[tex]n_{l} = 10[/tex] y [tex]n_{h} = 8[/tex]

La cantidad de latas que tocan el fondo de la caja es igual al producto de la cantidad de latas a lo largo de la caja y la cantidad de latas a lo ancho de la caja, es decir:

[tex]n_{A} = n_{w}\cdot n_{l}[/tex] (5)

[tex]n_{A} = (5)\cdot (10)[/tex]

[tex]n_{A} = 50[/tex]

Hay 50 latas en total que tocan el fondo de la caja.

Answer:

see below

Step-by-step explanation:

We can use the law of sines

sin 80             sin B

--------------- = -------------

31                       14

Using cross products

14 sin 80 = 31 sin B

14/31  sin 80 = sin B

.984807753 = sin B

Taking the inverse sin of each side

sin ^ -1 ( .444751888) =  B

26.41 = B

The sum of the angles of a triangle is 180

A+B+C = 180

80 + 26.41 + C =180

106.41 + C = 180

C = 73.59

We can use the law of sines to find c

sin 80             sin 73.59

--------------- = -------------

31                       c

c sin 80 = 31 sin 73.59

c =  31 sin 73.59 / sin 80

c = 30.20

AB = 30.20

Answer: (1, 8]

Step-by-step explanation:

The lowest point is 1, marked with an open circle, thus a soft bracket. The highest point is 8, exactly, and can be marked with a hard bracket.

Answer:

The answer is below

Step-by-step explanation:

a) Let the width be represented as w and the length be represented as l.

The perimeter of the sand box = 2(l + w)

Since there is 400 feet of material for the sides of the sandbox, hence:

400 = 2(l + w)

200 = l + w

l = 200 - w

The area (A) is:

A = length * width

A = (200 - w) * w

A(w) = 200w - w²

b) The maximum area is at A'(w) = 0. Hence:

A'(w) = 200 - 2w

200 - 2w = 0

2w = 200

w = 100 feet.

l = 200 - w = 200 - 100

l = 100 feet.

Area = length * width = 100 * 100 = 10000 feet²

The maximum area of the sandbox is 10000 feet², with a length of 100 feet and width of 100 feet.

Answer:

is this functions because if it is I can help

Answer:

Step-by-step explanation:

Answer:

The younger brother is 16 years old.

Step-by-step explanation:

The younger brother is aged x.

It follows that the older brother is aged x+3.

x + (x+3) = 35

2x + 3 = 35

2x = 32

x = 16

Answer:

they are 16 and 19

the younger bro is 16

Step-by-step explanation:

if you add 16 and 19 you get 35

Hope this helps!! Pls mark me brainliest!!

Answer:

C

A

H

F

Step-by-step explanation:

graph shows slope =2

2. slope is y2-y1 / x2-x1

(4-7)/(1-0)

-3

so A

3. slope is 28-18 / 4-2

10/2 = 5

so H

4. graph shows slope =1

please give thanks by clicking the heart :)

Step-by-step explanation:

1. Six families are represented.

2. Four families have at least three children.

3. Range = 15 - 1 = 14

4. Only one family has at most one child

Step-by-step explanation:

The car travels 600 feet in 20 seconds

=> 30 feet per second

The moyorcycle travels 300 feet in 12 seconds

=> 25 feet per second

Since 30 > 25, the car travels faster than the motorcycle.

Answer:

The car

Step-by-step explanation:

It tralves 600 ft in 20 seconds as compared to the motercycle travling 600 ft in 24 seconds