Evaluate the expression:
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The value of log subscript 625 baseline 5 is 1/4.

The logarithmic function is an inverse function to exponentiation.

Rewrite as an equation.

[tex]\rm log_{625}{(5)} = x[/tex]

Rewrite log625 (5) = x in exponential form using the definition of a logarithm.

If x and b are positive real numbers and b does not equal 1, then log(x) = y is equivalent to b^y = x.

[tex]\rm 625^x=5[/tex]

Create expressions in the equation that all have equal bases.

[tex]\rm (5^4)^x=5^1\\\\5^{4x}=5^1\\\\4x=1\\\\x=\dfrac{1}{4}[/tex]

Hence, the value of log subscript 625 baseline 5 is 1/4.

To know more about the log function click the link given below.

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Answer:

1/4

Step-by-step explanation:

Let the distance be x

Answer:

26

Step-by-step explanation:

complementary means same. so A and B are 26.

height = 24.4in

hope it helps...!!!

Answer:

24.4in.

Step-by-step explanation:

31.25 x 15.5 = 484.375

11818.75 / 484.375 = 24.4in.

Answer:

1 week

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

~~~~~~~~~~~~~~~~~

[tex]\frac{x}{sin41}[/tex] = [tex]\frac{4.5}{sin107}[/tex]

x = [tex]\frac{4.5sin41}{sin107}[/tex] ≈ 3.1 mi

[tex]\frac{y}{sin32}[/tex] = [tex]\frac{4.5}{sin107}[/tex]

y = [tex]\frac{4.5sin32}{sin107}[/tex] ≈ 2.5 mi

Ship A is 3.1 miles from the island.

Ship B is 2.5 miles from the island.

Step-by-step explanation:

Angle W is the corresponds as to angle C

Answer:

Step-by-step explanation:

This curved line is called a function.

What Function is it?

Nonlinear functions are curved lines, going through some of the axis.

Linear functions are straight lines, and it will forever go left and right.

Answer:

Step-by-step explanation:

3a^2x^2 (x^5 -6x^3 - 8x)

= 3a^2x^2 * x^5 - 3a^2x^2 * 6x^3 - 3a^2x^2 * 8x

= 3a^2x^7 - 18a^2x^5 - 24a^2x^3.

Answer: n is 4

Step-by-step explanation: n-5= -1

Add 5 to both sides

n=-1+5

n=4

Step-by-step explanation:

5 Less than a number n 1. if you want 5 less than what you start with, you must take away 5

The diameter of the new rubber ball, to the nearest foot, must be D =  4.0 ft (in the case of the maximum cost).

Remember that for a sphere of diameter D, the surface area is:

A = 4*pi*(D/2)^2

In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:

$0.02*A = $1

A = $1/$0.02 = 50

So the surface of the ball must be 50 square feet.

Then we solve:

50ft^2 = 4*3.14*(D/2)^2

D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft

If you want to learn more about spheres, you can read:

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Answer:

B = 50

Step-by-step explanation:

[tex]\frac{5}{10} =\frac{b}{100}[/tex]   do butterfly multiplication

[tex]5*100=500[/tex]

[tex]10*b=10b[/tex]

[tex]\frac{10b}{10}=\frac{500}{10}[/tex]

B = 50

Answer:

q = 10

Step-by-step explanation:

[tex]\text{slope} =-3=\frac{q-4}{-7-(-5)} =\frac{q-4}{-2} \\\Longrightarrow -3=\frac{q-4}{-2} \\\Longrightarrow \left( -3\right) \times \left( -2\right) =q-4\\\Longrightarrow 6=q-4\\\Longrightarrow q=6+4\\\Longrightarrow q=10[/tex]

Answer:

I think it would be 4+10=14 and the bigger number is 10

Step-by-step explanation:

forgive me if I'm wrong

Answer:

24% and 38%

Step-by-step explanation:

Answer:

24% and 38%

Step-by-step explanation:

Work Shown:

(540 grams sugar)/(5 liter soda) = (x grams sugar)/(3 liter soda)

540/5 = x/3

540*3 = 5*x

1620 = 5x

5x = 1620

x = 1620/5

x = 324

3 liters of soda has 324 grams of sugar

The product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.

To multiply the two equation, each term of the first equation is multiples from the second term.

         [tex]2p+ 7[/tex]

        [tex]3p^2 +4p-3[/tex]

The product of these two equations are,

[tex]P=(2p+7)\times (3p^2 +4p-3)\\P=6p^3+8p^2-6p+21p^2+28p-21[/tex]

Arrange the equation with the same power terms,

[tex]P=6p^3+8p^2+21p^2-6p+28p-21\\P=6p^3+29p^2+22p-21[/tex]

Hence, the product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.

Learn more about the multiplication of two equation here;

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Answer:

10

Step-by-step explanation:

see in the attached picture...

Answer:

Its the third one I think.

Step-by-step explanation:

I worked on it.

Answer:

c

Step-by-step explanation:

Answer:

[tex]c=325m[/tex]

Step-by-step explanation:

Hope this helps

Answer:

B

Step-by-step explanation:

-6-19=25

Check:

6+19=25

Answer:

h=-6 aka b

Step-by-step explanation:

First start with h-19=-25

then h-19+19=-25+19

answer h=-6

Answer:

250

Step-by-step explanation:

Answer:

125 degrees

Step-by-step explanation:

5x=3x+50

5x-3x+50

2x=50

x=25

5x=25x5

   =125

Answer:

$30,000

Step-by-step explanation:

1500 would be the remaining 5%. Simply double that, which gives you 3000, which is 10%. Adding the other 90% would make the answer be $30,000

Answer:

2925 dollars.

Step-by-step explanation:

1500 x 0.95 = 1425

1500 + 1425 = 2925

Answer:

x=12/17

Step-by-step explanation:

hope this helps

The unit rate is $25. The unit rate gives information on the amount by which the account increases per month.

The unit rate gives the amount by which the money in the account increases per month. It measures the rate of increase in the account.

In 1, month, the total value of the account would be: $50 + (25 x 1) = $75

In 2 months, the total value of the account would be: $50 + (25 x 2) = $100

In 10 months, the total value of the account would be: $50 + (25 x 10) = $300

To learn more about unit rate, please check: https://brainly.com/question/14006834