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Novosadov [1.4K]
3 years ago
14

(4^p*4^1)^3 simplifies to 4^15 what does p equal?

Mathematics
1 answer:
zzz [600]3 years ago
6 0

When an exponent is outside the parentheses, you "distribute" it to the other exponents inside the parentheses.

(4^p)^3 would become 4^3p

(4^1)^3 would become 4^3

When the bases are the same, you just simply add the exponents.

Let's just ignore the bases so it'll look less confusing.

3p + 3 = 15

Subtract 3 from both sides.

3p = 12

Divide both sides by 3.

<em>p = 4</em>

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200 kg of brass is melted down and cast into ornamental frogs, each weight 3/20kg. How many frogs are made?
Savatey [412]

Answer:

1,333 frogs

Step-by-step explanation:

okay so we know that mass remains conserved no matter where you are.

same here ^^

if the total mass of brass is 200 kg

the total mass of the new frogs formed from it when put together will be the same :)

and if there were n such frogs formed

we have,

total mass = n × mass of each frog

200 = n × 3/ 20

n = 4000/ 3

so it becomes something like 1,333.33

that is nearly 1,333 frogs can be made out of 200 kg of brass each weighing 3/ 20kg (the last ones a bit less to make upto 200kg)

5 0
3 years ago
What is the value of X?​
lozanna [386]

since all sides are equal, which means all angles must also be equal to one another

all angles =60°

solving 7x-3=60

7x=63

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similarly 11 y+5=60

11y=55

y=5

5 0
3 years ago
ANSWER ASAP
Nadusha1986 [10]
Y=mx+b
m=0.5
b is value of y in y-intercept, b=-2

The equation of this line is
y=0.5x-2

When x=4
y=0.5x-2=y=0.5*4-2=2-2 = 0
When x=4, y=0.

6 0
3 years ago
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stiv31 [10]
Question 1: When sediments and rocks are dropped at the end of the river.

Question 2: An earthquake.
3 0
3 years ago
Is 2x+4-x linear or non linear?
lawyer [7]

Answer:

To determine if an equation is a linear function, it must have the form y = mx + b (in which m is the slope and b is the y-intercept). A nonlinear function will not match this form.

So it is linear.

6 0
3 years ago
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