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3 years ago

What’s the answer to this question below. A b c or d

Mathematics

2 answers:

forsale [732]3 years ago

4 0

Answer:

x = 4

Step-by-step explanation:

You have to remember the "Quotient Rule" for exponent having same base.

The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.

Here,

base = 3

exponents = 2x + 1 , x + 5

3^(2x + 1) = 3^( x + 5)

3^(2x + 1) / 3^(x + 5) = 1

3^((2x + 1) - (x + 5) )= 1

3^(2x + 1 - x - 5) = 1

3^(2x - x +1 - 5) = 1

3^(x - 4) = 1

log 3^(x - 4) = log(1)

(x - 4) (log (3)) = 0

log(3) = 0 rejected

x - 4 = 0 accepted

x = 0 + 4

x = 4

kati45 [8]3 years ago

3 0

Answer:

Choice C is the answer.

Step-by-step explanation:

We have given a equation.

$3^{2x+1} = 3^{x+5}$

We have to find the value of x.

Since, we know that same bases have equal powers.

2x+1 = x+5

Adding -x-5 to both sides of above equation, we have

2x+1-x-5 = x+5-x-5

x-4 = 0

x = 4 which is the answer.

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In an arithmetic sequence, the nth term an is given by the formula An=a1+(n−1)d, where a1

Gnesinka [82]

Answer:

Step-by-step explanation:

We are given that in arithmetic sequence , the nth term $a_n$ is given by the formula

$A_n=a_1+(n-1)d$

Where $a_1=first term$

d=Common difference

In an geometric sequence, the nth term is given by

$a_n=a_1r^{n-1}$

Where r= Common ratio

1,4,7,10,..

We have to find 30th term.

$a_1=1,a_2=4,a_3=7,a_4=10$

$d=a_2-a_1=4-1=3$

$d=a_3-a_2=7-4=3$

$d=a_4-a_3=10-7=3$

$r_1=\frac{a_2}{a_1}=\frac{4}{1}=4$

$r_2=\frac{a_3}{a_2}=\frac{7}{4}$

$r_1\neq r_2$

Therefore, given sequence is an arithmetic sequence because the difference between consecutive terms is constant.

Substitute n=30 , d=3 a=1 in the given formula of arithmetic sequence

Then, we get

$a_{30}=1+(30-1)(3)=1+29(3)=1+87=88$

Hence, the 30th term of sequence is 88.

5 0

2 years ago

£25 in the ratio 2:3

never [62]

2+3=5
25/5=5
5x2=10 3x5=15
so the answer is:
£10:£15

4 0

3 years ago

Help me, please :)<br> I need to find the value of x

irina1246 [14]

The vale of x is 55 !!

3 0

3 years ago

An animal shelter has 24 puppies. If the puppies are 32% of the total dog and cat population, how many dogs and cats are in the

34kurt

population *32% = 24

population *.32 = 24

population = 24/.32

population = 75

4 0

2 years ago

Frances has 4 square baking dishes. Each pan is 7 inches × 7 inches × 2 inches. Which expression will give her the total volume

julia-pushkina [17]

Answer:

D. (7^2 X2) x 4

The equation inside the parenthesis finds the volume of one pan and then that is multiplied by 4 which is the total number of pans. This will find the volume of all 4 pans.

5 0

2 years ago