Which fraction is the smallest?
A. 1/10
B. 1/4
C. 2/5
D. 2/9

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.

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Answer:

1/4

Step-by-step explanation:

Answer:

+ 13

Step-by-step explanation:

- 4 - 9 = - 13 then

- 13 + 13 = 0

Answer:

PART ONE:

1.Most common sleep is: 8 1/2 hours of sleep.

2.There is a a outlinear in the data (6 1/2)

3. 10-6.5 = 3.5, So 3 1/2 hours diffence of sleep

4. 15 more people slept longer than 8 hours

Answer:

250

Step-by-step explanation:

The value of tickets for rock concert is $120 and the value of tickets for soccer match is $40.

From the information, for five tickets for a rock concert and three tickets for a soccer match, they paid $720 and for two tickets for the same concert and six for the same soccer game, they paid $480.

Let the value of tickets for rock concert = x

Let the value of tickets for soccer match = y

Based on the information given, the equation will be:

5x + 3y = 720 .... i

2x + 6y = 480 ..... ii

Multiply equation i by 2

Multiply equation ii by 5

10x + 6y = 1440

10x + 30y = 2400

Subtract

24y = 960

y = 960 / 24

y = 40

Therefore, x will be:

5x + 3y = 720

5x + 3(40) = 720

5x + 120 = 720

5x = 720 - 120

5x = 600

Divide

x = 600 / 5

x = 120

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Complete question

For five tickets for a rock concert and three tickets for a soccer match, they paid $720 and for two tickets for the same concert and six for the same soccer game, they paid $480. What is the value of the ticket for each of the events?

Answer:

125 degrees

Step-by-step explanation:

5x=3x+50

5x-3x+50

2x=50

x=25

5x=25x5

   =125

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:

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.

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]

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:

10

Step-by-step explanation:

see in the attached picture...

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:

D. Cross section

Step-by-Step Explanation:

It is sliced showing the bottom part, so it is showing a cross section.

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:

Step-by-step explanation:

           TOP:

2 rectangles 10x4

2 rectangles 10x3

2 rectangles 3x4

                    MIDDLE

1 rectangle 10x 9.4247

2 circles 9 π

                        BOTTOM

1 rectangle 6x15.7079

2  circles 25π  

Answer:

a = 5

Step-by-step explanation:

let's label the triangle as a, b and c

where b is the hypotenuse and c is the adjacent of the hypotenuse a to be the height.

from the formula

a² + c² = b²

we substitute the values to find a

so,

a² + 12² = 13²

but we don't know "a" so we make it stand alone by grouping liked terms.

a² = 13² - 12²

a² = 25

we need "a" not "a²" so we take the square root of both sides to get rid of "a²" leaving "a"

[tex] \sqrt{ {a}^{2} } = \sqrt{25} [/tex]

and the answer will be

a = 5

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:

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.

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:

26

Step-by-step explanation:

complementary means same. so A and B are 26.

Let the distance be x

Answer:

No, it's not statistical

Step-by-step explanation:

Answer:

11,232km/h

Step-by-step explanation:

You have 3120m/s and want kilometers per hour. There are 1000m in 1km, and 3600sec in 1h:

[tex] \frac{3120}{1} \frac{m}{s} \times \frac{1}{1000} \frac{km}{m} \times \frac{3600}{1} \frac{s}{h} [/tex]

Meters cancel. Seconds cancel. This leaves kilometers per hour:

[tex] \frac{3120 \times 3600}{1000} \frac{km}{h} = 11232 \frac{km}{h} [/tex]

Answer: C) [tex]x\geq1\frac{1}{2}[/tex]

Step-by-step explanation:

Let's solve your inequality step-by-step.

[tex]4x-7\geq \frac{-12x+14}{4}[/tex]

Step 1: Simplify both sides of the inequality.

[tex]4x-7\geq -3x +\frac{7}{2}[/tex]

Step 2: Add 3x to both sides.

[tex]4x+3x-7\geq -3x+3x +\frac{7}{2}\\7x-7\geq\frac{7}{2}[/tex]

Step 3: Add 7 to both sides.

[tex]7x-7+7\geq\frac{7}{2} +7\\7x\geq\frac{21}{2}[/tex]

Step 4: Multiply both sides by [tex]\frac{1}{7}[/tex].

[tex]7x(\frac{1}{7}) \geq\frac{21}{2} (\frac{1}{7}) \\x\geq\frac{21}{14} \\x\geq 1\frac{1}{2}[/tex]