All categories

2 years ago

If logb3=0.23 and logb8=0.71, find logb24

1 answer:

6 0

Change logb24 into logb(8*3).
Next use the product rule to rewrite logb(8*3) as a sum.
logb8 + logb3
Now substitute the values given.
0.71 + 0.23 =
0.94

You might be interested in

Please help especially with a!!

77julia77 [94]

Answer:

a) 25/324

b) 1/4

c) 1/3

Step-by-step explanation:

a) [⅓A + ⅓B]² = (⅓)²[A + B]²

= (1/9) [½ + ⅓]²

= (1/9)(⅚)²

= (1/9)(25/36)

= 25/324

b) ½ × ½ = ¼

c) (½ × ⅓) + (⅓ × ½) = 2 × ⅙ = ⅓

6 0

2 years ago

Select the best answer for the question

kozerog [31]

X=9 this is the answer for question 19

6 0

3 years ago

Rewrite this expression using the distributive property.<br> (3x2 + 4x-7)(x-2)

RideAnS [48]

Answer:

Step-by-step explanation:

Each factor on the right has to be multiplied by the equation on the left and then you add them.

6 0

2 years ago

A tank contains 30 lb of salt dissolved in 300 gallons of water. a brine solution is pumped into the tank at a rate of 3 gal/min

sesenic [268]

$A'(t)=(\text{flow rate in})(\text{inflow concentration})-(\text{flow rate out})(\text{outflow concentration})$
$\implies A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\left(2+\sin\dfrac t4\right)\dfrac{\text{lb}}{\text{gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}$
$A'(t)+\dfrac1{100}A(t)=6+3\sin\dfrac t4$

We're given that $A(0)=30$ . Multiply both sides by the integrating factor $e^{t/100}$ , then

$e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=6e^{t/100}+3e^{t/100}\sin\dfrac t4$
$\left(e^{t/100}A(t)\right)'=6e^{t/100}+3e^{t/100}\sin\dfrac t4$
$e^{t/100}A(t)=600e^{t/100}-\dfrac{150}{313}e^{t/100}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+C$
$A(t)=600-\dfrac{150}{313}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+Ce^{-t/100}$

Given that $A(0)=30$ , we have

$30=600-\dfrac{150}{313}\cdot25+C\implies C=-\dfrac{174660}{313}\approx-558.02$

so the amount of salt in the tank at time $t$ is

$A(t)\approx600-\dfrac{150}{313}\left(25\cos\dfrac t4-\sin\dfrac t4\right)-558.02e^{-t/100}$

3 0

3 years ago

What is 7/10 in a decimal and percent

Ksivusya [100]

In a decimal it is 0.70 and in a percent it is 70%

3 0

2 years ago

Read 2 more answers