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3 years ago

Express as the sum or difference of logarithms. log311y

Mathematics

1 answer:

vovikov84 [41]3 years ago

8 0

Answer:

$log311y=log311+logy$

Step-by-step explanation:

We can use the property of logarithms of sum of logarithms:

$log_{b} (M*N)=log_{b} M+log_{b}N$

So, if we consider $M=311$ and $N=y$

We replace

$log311y=log311+logy$

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Generate the first 7 terms of the sequence defined by Q = 3n+ 5.

d1i1m1o1n [39]

Answer:

8,11,14,17,20,23,26

Step-by-step explanation:

Q = 3n+ 5

an=3n+5

a1=3(1)+5=8

a2=3(2)+5=11

a(3)=3(3)+5=14

a4=3(4)+5=17

a5=3(5)+5=20

a6=23

a7=26

8 0

3 years ago

Which of the following equations is equivalent to 3(2p + 4) - (3p - 4) = 43?

emmainna [20.7K]

Answer: (use distributive property then add the like terms)
3(2p + 4) - (3p - 4) = 43
6p + 12 - 3p - 4 = 43
3p - 8 = 43

6 0

3 years ago

Essential: Solve the proportions<br> step by step

vazorg [7]

Answer:

The value of r= $\frac{-106}{47}$

The value of x= $\frac{83}{32}$

Step-by-step explanation:

Given that,

A) $\frac{2r-2}{7r+10} = \frac{9}{8}$

Now,

$\frac{2r-2}{7r+10} = \frac{9}{8}$

8(2r-2)=9(7r+10)

16r-16=63r+90

-16-90=63r-16r

-(16+90)=47r

-106=47r

r= $\frac{-106}{47}$

B) $\frac{x+4}{9} = \frac{3(x-2)-1}{5}$

Now,

$\frac{x+4}{9} = \frac{3(x-2)-1}{5}$

5(x+5)=9[3(x-2)-1]

5x+25=9[3x-6-1]

5x+25=9[3x-7]

5x+25=27x-63

25+63=27x+5x

83=32x

x= $\frac{83}{32}$

6 0

4 years ago

This is due in 10 minutes please help me

valkas [14]

Given:

The rate of interest on three accounts are 7%, 8%, 9%.

She has twice as much money invested at 8% as she does in 7%.

She has three times as much at 9% as she has at 7%.

Total interest for the year is $150.

To find:

Amount invested on each rate.

Solution:

Suppose x be the amount invested at 7%. Then,

The amount invested at 8% = 2x

The amount invested at 9% = 3x

Total interest for the year is $150.

$x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150$

Multiplying both sides by 100, we get

$7x+16x+27x=15000$

$50x=15000$

Dividing both sides by 50, we get

$x=\dfrac{15000}{50}$

$x=300$

So, the amount invested at 7% is $300$ .

The amount invested at 8% is

$2(300)=600$

The amount invested at 9% is

$3(300)=900$

Hence, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.

7 0

3 years ago

Rachelle buys a drink. She spends the same amount of money on her drink as Chuck spent on his candy. Rachelle now has only 1/3 o

Bad White [126]

Answer:

$1.80

Step-by-step explanation:

2/3x = 1.2

x = 1.2 / (2/3)

x = 1.2 * (3/2)

x = 1.80

5 0

3 years ago