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3 years ago

11. Calculate the following logarithms. a. log5(25)

Mathematics

1 answer:

Mama L [17]3 years ago

8 0

Answer:

the logarithmic solution of log₅(25) is equal to 2

Step-by-step explanation:

given,

log₅(25)

now using logarithmic identity

log ₓ (x) = 1 and

log (aˣ) = x log (a)

now,

log₅(25)

=log₅(5²)

=2 log₅(5)

hence, the logarithmic solution of log₅(25) is equal to 2

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vagabundo [1.1K]

Answer:

i believe the answer is 0.75

Step-by-step explanation:

i used siri

7 0

3 years ago

the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pr

fiasKO [112]

Answer:

The pressure is $20\ psi$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

In this problem we have

$V*P=k$

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For $V=100\ in^{3}$ , $P=25\ psi$

step 1

Find the value of k

substitute the values of V and P

$100*25=k$

$k=2,500$

The equation is equal to $V*P=2,500$

step 2

Find the pressure when the volume is 125 cubic inches

For $V=125\ in^{3}$

substitute in the equation and solve for P

$125*P=2,500$

$P=2,500/125=20\ psi$

8 0

3 years ago

HELPPP. : You were given a Starbucks gift card for your birthday. One day, you used the gift card to order 3 drinks that cost $5

dexar [7]

Answer:

The card had 41.60 originally

Step-by-step explanation:

3 x 5.20 = 15.60

15.60 + 26.00 = 41.60

unless there is tax

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3 years ago

What is the nth term rule of the linear sequence below? -4,-1,2,5,8,...

storchak [24]

Answer:

The nth term of the given sequence tₙ = 3 n - 7

Step-by-step explanation:

Given sequence - 4 , -1 , 2 , 5, 8 , .....

First term a = -4

The difference of two terms of a given sequence

d = -1 - (-4) = -1 +4 = 3

d = 2 - (-1) = 2 +1 = 3

d = 5 -2 = 3

d = 8 - 5 =3

The difference of two terms of a given sequence is equal

∴ The given sequence is in Arithmetic progression(AP)

The nth term of given sequence

$t _{n} = a + ( n-1 ) d$

$= -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7$

Final answer:-

The nth term of the given sequence tₙ = 3 n - 7

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3 years ago

Calculate the volume of a sphere with a radius of 10 feet. Round answer to nearest tenth

jasenka [17]

Answer:

Step-by-step explanation:

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2 years ago