A logarithm is
A)
a number whose base is not equal to its exponent.
B)
the number you get when your raise a base to an exponent.
C)
the base that you raise to a power in order to get a number.
D)
the exponent that you'raise a base to in order to get a number.

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:

-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

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

Answer:

its the  math that solve

Step-by-step explanation:

Step-by-step explanation:

5x - 4y + 10

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

= 10 + 12 + 10

= 32.

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:

b

Step-by-step explanation:

3(2x+1)-(x-1)

\ / / /

5x+2

Answer:

fgcgfcgchgcchcgccghccghcgcghgghcgchchchgcgcghchgchg

Step-by-step explanation:

Answer:

877.1929824561 dollars

Step-by-step explanation:

100000÷114= 877.1929824561 dollars

hope it helps!

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:

1215

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

7÷7/4

in these cases we multiply by the reciprocal

7× 4/7

7 and 7 can be cancelled with each other

the remaing answer = 4

Answer:

1/4

Step-by-step explanation:

First, since the numerator is 7 you want to see how many times you can divide that.

So, you can only divide 7 by 7 1 time so that turns into 1.

Hence, your numerator is now 1 and denominator stays the same so its..

                                                    1/4

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:

49.4 degrees

Step-by-step explanation:

SOHCAHTOA

tan x = opposite / adjacent

tan x = 7 / 6

using graphing calculator, you get x = 49.398 round to tenth = 49.4 degrees

please give thanks :)

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

(i): A triangle where all three sides are equal and the same.

(ii): A triangle where all three sides are unequal in length.

(iii): A triangle that has two sides of equal length.

(iv): A triangle where all three internal angles are acute(they measure less than 90 degrees.

(v): A triangle where all three internal angles are obtuse(measure above 90 degrees).

(vi): A triangle where one internal angle is a right angle(90 degrees).

Hope this helps

Answer:

(i): A triangle where all three sides are equal and the same.

(ii): A triangle where all three sides are unequal in length.

(iii): A triangle that has two sides of equal length.

(iv): A triangle where all three internal angles are acute(they measure less than 90 degrees.

(v): A triangle where all three internal angles are obtuse(measure above 90 degrees).

(vi): A triangle where one internal angle is a right angle(90 degrees).

Hope this helps

Step-by-step explanation:

Answer:

60x+300=96x-24

324=36x

x=324/36

x=9

yes it is correct

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:

its the forth one i got it right

Step-by-step explanation:

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:

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:

Terminal point: (0, 1); sinФ = 1 ⇒ A

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.

In a unit circle

∵ Ф = 90°

→ By using the 2nd rule above

∴ The terminal point is (0, 1)

∴ sinФ = 1

∴ Terminal point: (0, 1); sinФ = 1

9514 1404 393

Answer:

  8

Step-by-step explanation:

Apparently, you want to evaluate ...

  0.1m +8 -12n

for m = 30 and n = 1/4.

Put the numbers where the corresponding variables are and do the arithmetic.

  = 0.1×30 +8 -12×(1/4) = 3 + 8 -3

  = 8