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andriy [413]
3 years ago
5

Which expressions are equivalent to log4 (1/4x^2),​

Mathematics
1 answer:
Vlada [557]3 years ago
8 0

Step-by-step explanation:

2 log 4 (1/4i)

.....................

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The slope of the line shown in the graph is ? and the y intercept of the line is ?
ohaa [14]
Pick 2 points on ur line and use the slope formula : (y2 - y1) / (x2 - x1)

(y2 - y1) / (x2 - x1)
(-9,0)....x1 = -9 and y1 = 0
(0,6).... x2 = 0 and y2 = 6
now sub
slope = (6 - 0) / (0 - (-9) = 6/(0 + 9) = 6 / 9 = 2/3 <==

ur y intercept is where ur line crosses the y axis...and that would be (0,6)....or just 6 <==

5 0
3 years ago
bill earnes $45 at Happy Days Drive-In. He spent 1/3 of the money on gas for his car and 1/5 of it on flowers for his girlfriend
tigry1 [53]
45 divided by 3 gives you 15 which is the amount of money he spent on the gas and 45 divided by 5 is 9 which is the amount of money he spent on the flowers which means he spent $24 so he has $21 left for the big date.
5 0
3 years ago
Anec 2 Matemáticas
Rama09 [41]

Answer:

a) 1 : 100

1 cm en el mapa equivalen a 100 cm en la realidad

b) 1 : 1000

1 cm en el mapa equivalen a 1000 cm en la realidad

c) 1 : 2000

1 cm en el mapa equivalen a 2000 cm en la realidad

d) 1 : 18000

1 cm en el mapa equivalen a 18000 cm en la realidad

Step-by-step explanation:

Tenemos 4 escalas :

a) 1 : 100

b) 1 : 1000

c) 1 : 2000

d) 1 : 18000

Definimos ''escala'' como una relación entre dos números ''a'' y ''b'', generalmente ''a'' y ''b'' son números naturales. Denotamos la escala como :

a : b

En dónde ''a'' representa la longitud del dibujo y ''b'' la longitud real.

Por ende, cuando a estamos en presencia de una escala de reducción y cuando a>b estamos en presencia de una escala de ampliación.

La escala a=b ó 1 : 1 se define como escala natural.

Analicemos cada caso :

a) 1 : 100

Aquí vemos que es una escala de reducción (dado que 1 < 100) por ende cualquier magnitud de longitud en el mapa será 100 veces más grande en la vida real.

En este caso, 1 cm en el mapa equivalen a 100 cm en la realidad.

Análogamente y con el mismo razonamiento, escribimos las relaciones para los casos b), c) y d)  

b) 1 cm en el mapa equivalen a 1000 cm en la vida real

c) 1 cm en el mapa equivalen a 2000 cm en la vida real

d) 1 cm en el mapa equivalen a 18000 cm en la vida real

b), c) y d) también representan escalas de reducción.

7 0
3 years ago
Mara's family is driving to her grandmothers' house. The family travels 239.4 miles between the hours of 9:10 a.M. To 1:40 p.M.
anzhelika [568]

Answer:

53.2 mph

Step-by-step explanation:

Mara's family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m.

1:40 p.m. is 13:40.

Thus, they traveled for

13 hours 40 minutes - 9 hours 10 minutes = 4 hours 30 minutes

that is 4\frac{1}{2}=4.5 hours.

Use formula:

D=r\cdot t,

where

D = distance

r = rate

t = time.

In your case,

D = 239.4 miles

t = 4.5 hours

Hence,

239.4=4.5r\\ \\r=\dfrac{239.4}{4.5}=53.2\ mph

5 0
3 years ago
Read 2 more answers
Simplify. Write the expression using only positive exponents. 3d^−4⋅4d^4 PPPLLLLEEEASSSEEEEE
bixtya [17]

Answer:

d=0

Step-by-step explanation:

Because multiplication is commutative, we can rearrange the expression however we want. So, let's put the constant expressions together, and the variable expressions together:

(3 x 4) x (d^-4 x d^4)

The first term is easy enough: (3 x 4) = 12

For the second term, when exponent terms have the same "base" (in this case, d), the exponents can be added together. So, the second term yields d^(-4 + 4) = d^0. Any number raised to the zero power equals 1, EXCEPT for the sole number of zero. 0^0 is undefined, but any other number raised to the zero power equals 1.

So, if d equals any number other than zero, the expression becomes

(12) x (1) = 12

The best way to express the answer would be that the expression equals 12 except that it is undefined if d=0

5 0
3 years ago
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