5. What is the value of x?
A. 36
B. 12
C. 32
D. 28

Answer:

1.70

Step-by-step explanation:

Logarithmic functions are the inverses of exponential functions. Hence, exponential functions can be expressed in logarithmic form whereas logarithmic function can be expressed in exponential form. Since log is a function, it is most correctly written as log.

Given that f(x) = log₁₀(x)

To find the value of f(50), we substitute x to be 50 in the logarithm function and solve:

f(50) = log₁₀(50)

f(50) = log₁₀(5 * 10) = log₁₀(5) + log₁₀(10)  

f(50) = 1 + log₁₀(5) = 1 + 0.70

f(50) = 1.70

Answer:

A

Step-by-step explanation:

c and d cannot be since the answer to sqrt((900f^6)/(100g^4)) is 3f³/g²

and not 30f something.

the best answer I see is correct is a.

The product of the two given fractions is 1/12.

Given that, 1/4 of 1/3.

The product of two fractions is the product of the numerators and the product of the denominators.

Product of two fractions = Product of their numerators / Product of their denominators

1/4 × 1/3

= (1×1)/(4×3)

= 1/12

Therefore, the product of the two given fractions is 1/12.

To learn more about the product of two fractions visit:

https://brainly.com/question/7335118.

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Answer:

7 n and -4 I hope it will help you please follow me

Answer:

Home Water Works says that in most homes, showers are the third-largest user of water after toilets and clothes washers. The average American shower water usage is 17.2 gallons with the average shower length being 8.2 minutes. The average flow rate is 2.1 gallons per minute.

Answer:

90.2 gallons

Step-by-step explanation:

This is because if we take 8.8 * 8.2=72.16

then we do 72.16*5 =360.8

360.8 / 4 = 90.2 gallons.

Give brainlest and have a great day

Answer:

y = 3/2x - 5

Step-by-step explanation:

y = 3/2x + b

1 = 3/2(4) + b

1 = 6 + b

-5 = b

just add up the lengths of the three sides

length of AB =

[tex] \sqrt{ {2}^{2} + {6}^{2} } [/tex]

length of BC

[tex] \sqrt{ {7}^{2} + {3}^{2} } [/tex]

length of CA

[tex] \sqrt{ {5 }^{2} + {1}^{2} } [/tex]

(yeah, it's with pythagoras)

let's sum everything up

length AB+BC+CA = 21.011

the units would just be considered as "length units" I guess

hope it helps. have a nice day.

feel free to ask questions.

and maybe, if I'm feeling really nice and a lil bored, i leave greeting answers under yours to enable posters to give gives brainliests. if theres no 2and answer at least

Answer:

2 or -2

Step-by-step explanation:

x²+y²=2

(x+y)²-2xy=2

(x+y)²=4

x+y=±2

Answer:

x < -17/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-46 - 8x > 22

Step 2: Solve for x

Answer: x < −17/2

Step-by-step explanation:

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

−46 − 8x > 22

Step 1: Simplify both sides of the inequality.

−8x − 46 > 22

Step 2: Add 46 to both sides.

−8x − 46 + 46 > 22 + 46

−8x > 68

Step 3: Divide both sides by -8.

−8x/−8 > 68/−8

x < −17/2

Answer:

2x-10

Step-by-step explanation:

2(x) - 2(5) = 2x - 10

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

−8(z+4)=−7(z+−4)+−3

Step 1: Simplify both sides of the equation.

-8z-32=-7z+25

Step 2: Add 7z to both sides.

-z-32=25

Step 3: Add 32 to both sides.

-z=57

Answer:-57

Step-by-step explanation:

-8(z+4) = -7(z+-4)+-3

-8z-32= -7z+28-3

-8z-32=-7z+25

-57=z

Answer:

[tex]x=4.02[/tex]

Step-by-step explanation:

The given triangle is a right triangle, this is indicated by the box around one of the angles, signifying that the angle is a (90) degree angle. Therefore, to solve this problem one must use trigonometric ratios. These ratios are used to describe the relationship between an angle and the sides in a right triangle.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\\[/tex]

Bear in mind, the names of the sides of the triangle are relative to the angle that one uses to describe it in the triangle. Therefore the (opposite) and (adjacent) sides will change depending on the angle one chooses to look at it from.

In this case, one is given the length of the side opposite the given angle. One is asked to find the measure of the side adjacent to the angle. Therefore, it would make the most sense to use the tangent (tan) ratio.

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Substitute,

[tex]tan(20)=\frac{9}{x}[/tex]

Manipulate the equation such that it is solved for (x),

[tex]x=\frac{9}{tan(20)}[/tex]

Solve,

[tex]x=4.02[/tex]

Answer:

Adjacent

Step-by-step explanation:

Because supplementary angles make 180 degrees, complementary make 90 degrees, vertical angles are pairs of opposite angles made by two intersecting lines.

Answer:

A) 2

Step-by-step explanation:

The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.

sin(A)/a=sin(B)/b=sin(C)/c

Substitute the known values into the law of sines to find a.

sin(60)/a=sin(60)/2

Answer:

1/16

Step-by-step explanation:

They are independent events so we can multiply the probabilities

P(heads) = 1/2

P(4 heads) = P(heads)*P(heads)*P(heads)*P(heads)

                   = 1/2*1/2*1/2*1/2

                     = 1/16

Given:

The given expression is:

[tex]\log_44[/tex]

To find:

The simplified value for the given expression.

Solution:

According to the property of logarithm,

[tex]log_aa=1[/tex]

We have,

[tex]\log_44[/tex]

Here, the base of the logarithm is 4 and the value inside the log is also 4, since these two values are same therefore the value of this expression is 1 by using the above property of logarithm.

[tex]\log_44=1[/tex]

Hence, the correct option is D.

By evaluating log4 4 without a calculator, we discover that it is equal to 1.

Answer:

p = -6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

-5p = 24 - p

Step 2: Solve for p

howdy!!

yr answer is A. -6!!!!

goodluck!!! <33

Answer: you're screwed dude. i had trouble with that two. you should pack up your stuff and run away before your mom finds out that you failed.

Step-by-step explanation:

Answer:

[tex]\frac{3}{4}[/tex] liter

Step-by-step explanation:

Answer:24.5

Step-by-step explanation:30% of 35 is 10.5.  To find the 30% off- you multiply 35 times 0.3 which is 10.5.  Then you subtract the 10.5 from 35 for the total cost.  35-10.5=24.50

Answer:

the answer is 24.5

First you multiply 35 x 0.3 = 10.5, then subtract 10.5, 35-10= 24.5

Which in total the answer is 24.5

Answer:b im not sure

Step-by-step explanation:

ur welcome .  

By using substitution method, the number of nickels is 8 and the number of dimes is 13.

The substitution method is one of the algebraic methods to solve simultaneous linear equations. It involves substituting the value of any one of the variables from one equation into the other equation.

Representing the nickels as n and the dimes as d, and knowing that a nickel is 5 cents and a dime is 10 cents, we can write two equations from the given data.

n + d = 21

5n + 10d = 170

We use the first equation to derive a value for n.

n + d = 21

Subtract d from each side.

n + d - d = 21 - d

n = 21 - d.........................(1)

We now simplify the second equation by dividing all terms by 5.

5n + 10d = 170

[tex]\frac{5n}{5} +\frac{10d}{5} =\frac{170}{5}[/tex]

n + 2d = 24

substitute n = 21 - d in above equation

(21 - d) + 2d = 24

21 -d +2d = 24

21 + d = 24

d = 24 - 21

d = 13

n = 21 - d

n = 21 - 13

n = 8

Thus, the number of nickels is 8 and the number of dimes is 13.

Find out more information about substitution method here:

https://brainly.com/question/14619835

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Answer:

144.84

Step-by-step explanation:

Answer:

No solution is possible from the information provided.

Step-by-step explanation:

"A floor plan of the room is shown below. "

You failed to provide the floor plan so it is not possible to answer your question.

Step-by-step explanation:

everything can be found in the picture

Answer:

4

Step-by-step explanation:

Given:

In circle F, [tex]m\angle EFG=122^\circ,\ EF=16[/tex] units.

To find:

The length of arc EG.

Solution:

It is given that, [tex]m\angle EFG=122^\circ,\ EF=16[/tex] units. It means the central angle of arc EG is 122 degrees and the radius of the circle F is 16 units.

Formula for arc length is:

[tex]s=2\pi r\times \dfrac{\theta}{360^\circ }[/tex]

Where, r is the radius and [tex]\theta [/tex] is the central angle in degrees.

Putting [tex]r=16,\ \theta=122^\circ,\ \pi=3.14[/tex], we get

[tex]s=2(3.14)(16)\times \dfrac{122^\circ}{360^\circ }[/tex]

[tex]s=100.48\times \dfrac{61}{180}[/tex]

[tex]s=34.0515556[/tex]

[tex]s\approx 34.05[/tex]

Therefore, the length of arc EG is 34.05 units.

Responder:

15 m e 75 m

Explicação passo a passo:

Deixar :

Largura = x

Comprimento = 5x

Perímetro = 180

Já o terreno tem uma forma retangular; usamos a relação;

Perímetro = 2 (comprimento + largura)

180 = 2 (5x + x)

180 = 2 (6x)

180 = 12x

180/12 = x

15 = x

Largura = x = 15 metros

Comprimento = 5x = 15 * 5 = 75 metros

Medida de largura e comprimento, respectivamente:

15 m e 75 m