a. Objeto que cae. La fórmula
19.68
9.8
puede usarse para conocer el tiempo t, en segundos, de un objeto que cae, si se sabe que ha
caídos metros. Supón que se ha dejado caer un objeto desde un helicóptero y ha caído 100
metros. ¿Cuánto tiempo ha estado en caida libre?
b. Cable del poste telefónico. Como se muestra en la figura, un poste telefonico forma un ángulo
recto de 90° respecto del piso. Determina la longitud del cable que conecta al poste a 40 pies
del piso, y que está anclado al piso a 20 pies desde la base del poste,
40 pies
20 pies

Answer:

9.2

Step-by-step explanation:

So the 14 can be divided equally on both sides by the fact that the line cutting it at right angle bisects it.

Thus having 6 and 7 as the two shorter sides of a right angled triangle will help us get the radius( hypotenuse in this case) using the square root of the sum of the squares of both six and 7, the Pythagoras theory.

this leads to 9.2 as our answer

Answer:

1.4*(10^2)=140

9.4*(10^6)=9,400,000

Step-by-step explanation:

Answer:

his mistake is that he switched 7 and 12

Step-by-step explanation:

7 should have gone inside while 12 went on the outside

the answer should be .583333 (repeated)

Answer:

392 liters of synthetic oil is needed

All solutions are larger than 9

=========================================

Explanation:

Divide both sides by 2 and we get

2w > 18

2w/2 > 18/2 .... dividing both sides by 2

w > 9

Any number larger than 9 can replace w, and we'll get a true statement.

For instance, if we tried w = 12, then,

2w > 18

2*12 > 18

24 > 18

Which is true since 24 is indeed larger than 18.

On the flip side, if we tried w = 5, then,

2w > 18

2*5 > 18

10 > 18

which is not true because 10 is actually smaller than 18.

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

So again, the inequality 2w > 18 solves to w > 9

This shows all solutions are larger than 9.

If we can only pick values from the set {9,5,12,11}, then the solutions are 11 and 12 since they are larger than 9.

Answer:

im pretty sure its 100 miles

Step-by-step explanation:

4800 divided by 48 is 100

Answer:

  100

Step-by-step explanation:

Moving the decimal point 2 places to the right is equivalent to multiplication by 100.

Both were multiplied by 100.

Answer:

2/15

Step-by-step explanation:

10 = 2 * 5

6   = 2 * 3

LCM of 10 , 6 =  2 * 3 * 5 = 30

[tex]\frac{3}{10}-\frac{1}{6}=\frac{3*3}{10*3} - \frac{1*5}{6*5}[/tex]

          [tex]= \frac{9}{30} - \frac{5}{30}\\\\=\frac{9-5}{30}\\\\=\frac{4}{30}\\\\=\frac{2}{15}[/tex]

Answer:

m = 2

(0, 4)

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = 2x + 4

Step 2: Break function

Slope m = 2

y-intercept b = 4

Answer:

3:5 and 50:100

that should be the answer

Answer:

Use the quadratic formula --> follow the steps from there

Step-by-step explanation:

Message me if you do not know how to use the quadratic formula :)

Answer:

The two numbers are 5.73 and 2,27

Step-by-step explanation:

Let the two numbers be x and y

[tex]x + y = 8[/tex]

[tex]xy = 13[/tex]

Make x the subject in the first equation

[tex]x = 8 - y[/tex]

Substitute 8 - y for x in the second equation

[tex](8-y)*y = 13[/tex]

Open brackets

[tex]8y - y^2 = 13[/tex]

Equate to 0

[tex]y^2 - 8y + 13 = 0[/tex]

Solve using quadratic formula

[tex]y = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 1[/tex]   [tex]b = -8[/tex]    [tex]c = 13[/tex]

So:

[tex]y = \frac{-(-8) \± \sqrt{(-8)^2 - 4*1*13}}{2*1}[/tex]

[tex]y = \frac{8 \± \sqrt{64 -52}}{2}[/tex]

[tex]y = \frac{8 \± \sqrt{12}}{2}[/tex]

[tex]y = \frac{8 \± 3.46}{2}[/tex]

Split

[tex]y = \frac{8 + 3.46}{2}[/tex] or [tex]y = \frac{8 - 3.46}{2}[/tex]

[tex]y = \frac{11.46}{2}[/tex] or [tex]y = \frac{4.54}{2}[/tex]

[tex]y = 5.73[/tex] or [tex]y = 2.27[/tex]

Recall that

[tex]x = 8 - y[/tex]

When [tex]y = 5.73[/tex]

[tex]x = 8 - 5.73[/tex]

[tex]x = 2.27[/tex]

When [tex]y = 2.27[/tex]

[tex]x = 5.73[/tex]

Hence, the two numbers are 5.73 and 2,27

Answer:

Step-by-step explanation:

Given that:

The differential equation; [tex](x^2-4)^2y'' + (x + 2)y' + 7y = 0[/tex]

The above equation can be better expressed as:

[tex]y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0[/tex]

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

[tex]p(x) = \dfrac{(x+2)}{(x^2-4)^2} \[/tex]

[tex]p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \[/tex]

[tex]p(x) = \dfrac{1}{(x+2)(x-2)^2}[/tex]

Also;

[tex]q(x) = \dfrac{7}{(x^2-4)^2}[/tex]

[tex]q(x) = \dfrac{7}{(x+2)^2(x-2)^2}[/tex]

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

[tex]\lim \limits_{x \to-2} (x+ 2) p(x) = \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}[/tex]

[tex]\implies \lim \limits_{x \to2} \dfrac{1}{(x-2)^2}[/tex]

[tex]\implies \dfrac{1}{16}[/tex]

[tex]\lim \limits_{x \to-2} (x+ 2)^2 q(x) = \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}[/tex]

[tex]\implies \lim \limits_{x \to2} \dfrac{7}{(x-2)^2}[/tex]

[tex]\implies \dfrac{7}{16}[/tex]

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

Answer:

check your commments

Step-by-step explanation:

Answer:

625 trees

Step-by-step explanation:

Answer:

625

Step-by-step explanation:

27+16+33= 76

100-76 =24

24% are willows

150 trees are willows

150/24 = x/100

x = 625

Answer:

yes u can but i dont know how to show u becuase i cant move them round

Step-by-step explanation:

Answer:

6 yards were gained between the two plays.

Step-by-step explanation:

13 minus 7 is 6.

Losing a value is decreasing, so you would use a negative sign.

Subtract the partial value lost from the total.

You get 6.

Answer:

6 yards. Marco and his football to got 6 yards.

Answer:11.3

Step-by-step explanation:

Answer: It's the third one

Step-by-step explanation:

Answer:

box  # 1

Step-by-step explanation:

y2 -y1

x2-x1

each set of numbers will be simplified to 1

4,8   7,11

7,11   10,14

4,8,  10,14          do them all as the first step and you will come out with same

                          answer

Answer:

P=2

Step-by-step explanation:

Answer:

2 pounds

Step-by-step explanation:

4.05 p +14.4=4.5p+13.5

14.4=.45p+13.5

.9=.45p

45p=90

p=2

Answer:

y = 3/7x - 6

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 3/7

Point (14, 0)

Step 2: Find y-intercept b

Step 3: Write linear equation

y = 3/7x - 6