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Find the surface area of the space figure represented by the net

1. 173.5 cm²
2. 263 cm²
3. 191 cm²
4. 245.5 cm²​

a= -3

b= 1

k = 2

h= 0

refer to the attachment

The logarithmic equation f(x) = log(100) in the form g(x) = k + a log b(r – h) is f(x) = 0 + 2log(10 - 0)

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x. For example, since 1000 = 10³, the logarithm base 10 of 1000 is 3, or log₁₀ = 3.

Here, we have,

to rewrite the logarithmic equation:

The equation is given as:

f(x) = log(100)

Express 100 as 10^2

f(x) = log(10^2)

Apply the law of logarithm

f(x) = 2log(10)

Subtract 0 from 10

f(x) = 2log(10 - 0)

Add 0 to the equation

f(x) = 0 + 2log(10 - 0)

Hence, the logarithmic equation f(x) = log(100) in the form g(x) = k + a log b(r – h) is f(x) = 0 + 2log(10 - 0)

Read more about logarithmic equation at:

brainly.com/question/13473114

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complete question:

Express f(x) = log(100) in the general form of a logarithmic function, g(x) = k + a log b(r – h).

Answer:

y = -3x+ 4

one equation two unknows can not solve uniquely

4y = -12x + 16

y = -3x+ 4

is the solution set

Step-by-step explanation:

Answer:

[tex]x = \frac{ 16 - 4y}{12}[/tex]

Step-by-step explanation:

12x + 4y = 16

12x + 4y - 4y = 16 - 4y

12x = 16 - 4y

[tex]\frac{12x}{12} = \frac{ 16 - 4y}{12}[/tex]

[tex]x = \frac{ 16 - 4y}{12}[/tex]

Answer:

ratio

Step-by-step explanation:

i just know

Answer:

A Ratio

Step-by-step explanation:

its a ratio

your welcome ☺

Answer:

Area = 21.7777 m²

Step-by-step explanation:

Side of the square = 14 / 3.

Area of the square = side²

→ (14/3)²

→ 196/9

→ 21.7777 m²

Answer:

answer is option c

4+8 is less than 14

12<14

the sum of two sides of a triangle should be greater than the other side

Answer:

49.54

Step-by-step explanation:

Take the new price and add the amount that it was reduced by to get the original amount

47.25+2.29

49.54

That was the original price

Answer:

196608

Step-by-step explanation:

Answer:

all real values

Step-by-step explanation:

there is no value for x, where the operations in f(x) would run into an undefined or outright invalid situation. whatever x we can think of, f(x) will calculate a valid y.

Answer:

x = 10

Step-by-step explanation:

The secant- secant angle 3x is half the difference of the intercepted arcs, that is

3x = [tex]\frac{1}{2}[/tex] (4x + 50 - 30 )

3x = [tex]\frac{1}{2}[/tex] (4x + 20) = 2x + 10 ( subtract 2x from both sides )

x = 10

Answer:

9/35

Step-by-step explanation:

There are a total of 15 bulbs to choose from randomly. First a new bulb is chosen. Chance is 9/15 because 9 out of 15 are new.

Then there are only 14 bulbs left. Then a used bulb is chosen. Chance is 6/14 since 6 out of remaining 14 are used.

Total chance for this to happen is 9/15 * 6/14 = 54/210 = 9/35.

Answer:

Then the solution is (-1/4, 3)

Step-by-step explanation:

Start by eliminating the fractional coefficient 1/4:  multiply all 3 terms in the second equation by 4.  This results in equation (b), below:

4x - 3y = -10   (a)

4x = y -4         (b)  

Substitute y - 4 for 4x in equation (a):

y - 4 - 3y = -10

Combining like terms, we get -2y = -10 + 4, or -2y = -6, or y = 3.

Since x = (1/4)y - 1, if y = 3, then x = (1/4)(3) - 1, or x = 3/4 - 1, or x = -1/4

Then the solution is (-1/4, 3)

Answer:

Step-by-step explanation:

Given

[tex] {7}^{4} \div 7[/tex]

Since,

[tex] {a}^{x} \div {a}^{y} = {a}^{x - y} [/tex]

Hence,

[tex] = {7}^{4 - 3} [/tex]

[tex] = {7}^{3} (ans)(as \: a \: single \: power \: of \: 7)[/tex]

Answer:3.14

Step-by-step explanation:because pie

Answer:

D

Step-by-step explanation:

Frizzy cola is 4.1 through 4.3 inclusive

This means that the pH Range of frizzy cola is between 4.1 to 4.3(including 4.3)

If the pH value is represented as h :

The the lower bound will be 4. 1

Upper bound will be 4.3

This means :

4.1 less than or equal to h and h is less than or equal to 4.3

4.1 ≤ h ≤ 4.3

Since, 7 is neutral, values below 7 are acidic while above 7 are alkaline ;

The range is below 7, hence, frizzy cola is acidic.

4.1 ≤ h ≤ 4.3 ; acidic

Answer:

p = 6x + 10

Step-by-step explanation:

p = 2(l + w)

p = 2(6 + (3x - 1))

Simplify terms inside parenthesis

p = 2(3x + 5)

Distribute

p = 6x + 10

The probability Cynthia's porridge is just right is 15%.

A probability describes how likely is for an event to occur. Probabilities can be expressed using different but one of the most common ways to express probability is to use percentages or 0% to 100%.

Moreover, in some cases, the probability of an event occurring is directly related to the probability of another event. For example, if Cynthia porridge is hot, it means it is neither right nor cold.

Based on this, we can calculate the probability of one event by adding the probabilities of other events and subtracting the result to 100% (total events).

Learn more about probabilities in: https://brainly.com/question/8069952

Answer:

15%

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

The sum of the internal angles of a triangle is always 180°. The PQR triangle have 70° + 60° = 130°, so it need to have more 50° to complete 180°, and the angle x have the same size that this "missing angle" from the PQR triangle because the angle x is formed by the same segments, so it have 50°

Answer:

[tex]r^{3}=4050[/tex]

r = ∛4050

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

[tex]5400=\frac{4}{3} \pi r^{3}[/tex]

[tex]r^{3}=3(\frac{5400}{4} )[/tex]

[tex]r^{3}=3(1350 )[/tex]

[tex]r^{3}=4050[/tex]

Answer:

Step-by-step explanation:

11 ÷ 4 = 2 + 2 = 4

1 + 4 + 4 = 9

19 ÷ 4 = 4

Answer:

-12^3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-12)^1+1+1

-12^3

In multiplication if base are same we can add their exponent(power).

Refer to the attachment...

Since the line is parallel to the given equation , slope of required line = slope of the given equation of line

slope = -1/2

Answer:

4/3

Step-by-step explanation:

-(16/9) = (p/q) (-4/3)

(-16/9)*(-3/4) = (p/q)

4/3 = p/q

Answer:

Step-by-step explanation:

Let the number be x

[tex]x *\frac{-4}{3}=\frac{-16}{9}\\\\x=\frac{-16}{9}*\frac{3}{-4}\\\\x=\frac{4}{3}[/tex]

Answer:

[tex]Given,[/tex]

∠CBA=(7x+6)°

∠EBD=(9x-24)°

[tex]Now,[/tex]

∠CBA=∠EBD (vertically opposite angles)

----------------------

hope it helps...

have a great day!!

Answer:

Step-by-step explanation:

angle 4 is congruent to angle 4 because they are alternate interior angles.

angle 5 is congruent to angle 3 because they are alternate interior angles.

angle 1+angle 2+angle 3 is equal to (=) angle 1+angle 2+angle 3

angle 1+angle 2+angle 3=180 degree(being sum of interior angles of a trianngle)

Step-by-step explanation:

question 2

let the number be x

2 ( x + 5 ) = 5x - 14

2x + 10 = 5x - 14

2x - 5x = -14 - 10

-3x = -24

dividing both sides by -3

x = 8

to verify, 8 + 5 is 13 times 2 which 26..

so 5 times 8 is 40 minus 14 is 26

Part (a)

The angles would stay the same. This is because similar figures keep the same shape, but the size will shrink or grow.

A real world application is to simply move your head closer to the page and the figure will appear to get larger. The angles themselves stay the same but the side lengths will get larger.

====================================================

Part (b)

While the angles stay the same under a dilation operation, the side lengths do not. As the instructions state: "The side lengths are 3 times longer" (paraphrased).

So we multiply each side length in the diagram by 3

Refer to the diagram below. I've used the resize feature to enlarge the image to make figure DEFG

Answer:

x= 15

Step-by-step explanation:

Answer:x

=4

permiter=6

area=24

Step-by-step explanation:

Answer:

x = 8, area = 364 km^2, perimeter = 80 km

Step-by-step explanation:

to start, we have to recognize that opposite sides of a rectangle are congruent.

therefore ➪

2x + 10 = 4x - 6

2x + 16 = 4x

16 = 2x

x = 8

now just plug that in and you'll find ➪

length = 26km

width = 14km

area = l * w

area = 26 * 14

area = 364 km^2

perimeter = 2(l + w)

perimeter = 2(14+26)

perimeter = 80 km