John's monthly income is $3000. The table below shows the different categories in John's monthly budget and the amount he spends in each category.

Matching a logarithmic function with its graph can be done by understanding the key characteristics of logarithmic functions and how they are represented on a graph.

A logarithmic function is of the form y = log base b (x), where b is the base of the logarithm (usually 10 or e).

The graph of a logarithmic function is a reflection of the exponential function of the same base b, across the line y=x.

Here are some key characteristics of logarithmic functions and their corresponding graphs:

1) Asymptote: The graph of a logarithmic function has a vertical asymptote at x=0, since the logarithm of a non-positive number is undefined.

2) Domain: The domain of a logarithmic function is x>0, since the logarithm of a negative number is undefined.

3)Range: The range of a logarithmic function is all real numbers

4) Increasing or decreasing: A logarithmic function is increasing over its domain

5) Shape: The graph of a logarithmic function is concave down.

6) x-intercept: The x-intercept of the graph is (1,0), since the logarithm of 1 is always 0.

By keeping these characteristics in mind, you can match a logarithmic function with its graph by observing the shape, asymptote, domain and range of the graph.

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Answer:

d which implies m/3 + 5 = 9

Answer:

F, T, T, F

Step-by-step explanation:

1) F because the die is labeled 1 through 8. Because 1 through 3 are included within the die, it is possible to roll a number less than 4.

2) T because the die is from 1 to 8, meaning 5 through 8 - number 4 and greater - are able to be rolled. Rolling a 4, 5, 6, 7, or 8, has a probability of 5/8 chance of being rolled, making it a likely roll (as 5/8 is over a 50% chance).

3) T as numbers are always either even or odd, meaning it is impossible not to roll an even or odd number. In other words, it is certain to roll an even or odd number.

4) F as it is extremely likely to roll a number less than 7 with a whopping 6/8 chance of being rolled. What would be unlikely is rolling a number greater than 7.

The quantities which are proportional to 12/4 are 36/12 and 3/1 .

What is proportional ?

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.

The relationship between two quantities is constant for all values when they are proportional, which indicates that as one quantity rises, the other rises as well. An illustration would be the ratio of a circle's circumference to its diameter, which is equal to pi.

12/4 ⇒ 3/1

          = 24/9

          = 8/3

The quantity 12/4 is not proportional to 48/18

        = 18/6

        = 3/1

The quantity 12/4 is proportional to 36/12

       = 7/3

The quantity 12/4 is not proportional to 35/15

       = 12/8

       = 6/4

       = 3/2

The quantity 12/4 is not proportional to 24/16

The quantity 12/4 is proportional to 3/1

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280t + 320t = 1,000 is distance equation can be used to solve for t, the time it takes the planes to be 1,000 miles apart.

What does distance mean in a nutshell?

Distance is the overall movement of an object without consideration of direction.

                      Regardless of an object's starting or ending point, distance can be defined as the amount of ground it has traveled.

At 10:00 a.m. two planes leave an airport. If the northbound plane flies at 280 mph and the southbound at 320 mph

Let 't' be the time taken when they are 1000 miles apart

the northbound plane flies at 280 mph

Distance  = speed * time

distance covered by northbound plane D1= 280 * t= 280t

the southbound at 320 mph

distance covered by southbound plane D2=320 t

Distance is 1000 miles apart

D1 + D2= 1000

280t + 320t = 1,000

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Answer: 10 trip ticket  will cost £67. 4.

Step-by-step explanation:

Each (1)trip of One bus company costs= £6.74.

10 trip ticket  will cost  = £6.74 x 10 = £67. 4.

So it took Xander approximately 9.96 minutes to run 1 mile during the race.

To convert the distance of the race from kilometers to miles, you can use the conversion factor 1 kilometer = 0.621 miles.

To find the time it took Xander to run 1 mile, you can divide the total time it took him to run the entire race by the number of miles he ran.

First, convert the distance of the race from 5 kilometers to miles:

5 kilometers * 0.621 miles/kilometer = 3.105 miles

Then, divide the total time it took Xander to run the race by the number of miles he ran:

31 minutes / 3.105 miles = 9.96 minutes/mile

So it took Xander approximately 9.96 minutes to run 1 mile during the race.

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Answer:  -100

Step-by-step explanation:   -7(15)+5

It said x=15 so put 15 in and solve from there and that would be -100

HOPE THIS HELPS ANY I JUST completed FUNCTIONS AND MAN IT WAS FUN

Answer:

C. 288π ft³

Step-by-step explanation:

V(Sphere) = 4/3πr³

V(Sphere) = 4/3π(6)³

V(Sphere) = 4/3π(216)

V(Sphere) = 288π ft³

Answer:

7/60

Step-by-step explanation:

First, we would need to add up all of the coins and know their values.

1 dime (d) = 10¢

1 nickel (n) = 5¢

1 penny (p) = 1¢

An equation we can use will look something like this:

(d × 7) + (n × 1) + (p × 3) =?

Now just add the numbers and solve.

(10 × 7) + (5 × 1) + (1 × 3) = 78

Therefore, the total amount is 78¢.

Now to figure out how much 78¢ is out of $3, we can use an equation that looks something like this:

3 ÷ 0.78 = 3.84615385 or 7/60

So, this means that with 7 dimes, 1 nickel and 3 pennies it is 7/60 of $3.

"Thickness of two boards = Thickness of first board + Thickness of second board" would be the closely estimated equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, separated by the 'equal' sign.

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

The thickness of the two boards together can be represented by the sum of the thickness of each individual board. Therefore, the equation that most closely estimates the thickness of the two boards stacked together is:

Thickness of two boards = Thickness of first board + Thickness of second board

So in this case, the equation would be:

Thickness of two boards = inch + inch

This equation gives the total thickness of two boards stacked together and it's the closest estimation.

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On solving the provided question, we can say that - the value ox in the following angle = 3x = 84 => x = 28

In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays can generate an angle that is in the plane where the rays are located. The meeting of two planes also creates an angle. They are referred to as dihedral angles. An angle is the shape created by two rays or lines that have a shared termination in plane geometry. The Latin word "angulus," which meaning "horn," is the source of the English term "angle." The vertex is the common terminal of the two rays, which are referred to as the sides of the angle.

here

angle JMP = 3x-6 - 90

3x = 84

x = 28

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This is how the Cluster of sampling technique is best described.

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Answer:

<M=32 degrees

Step-by-step explanation:

triangle equals 180 degrees total

76+72=148

180-148= 32

<M= 32

Answer:

7/12

Step-by-step explanation:

y = 12

x = 7

y = Kx

K = y/x

K = 7/12

Answer: $120

Step-by-step explanation:

So you find 1/3 of 180, basically, you multiply them which is 60.

So if he has a third of the money, he has $60, but he needs 180. So we subtract $180 (how much money he needs) from $60 (the money he has). Which is 120 dollars, so the boy needs $120.

Or 2/3 more.

The coefficient of expression 5x^2 in 5x^2 5x is 5.

The coefficient of 5x^2 in 5x^2 5x is the number that is multiplied with 5x^2. In this expression, the number multiplied with 5x^2 is 5, so the coefficient of 5x^2 is 5.

The expanded expression is 5x^2 5x = 5x^3 + 5x^2. The coefficient of 5x^2 in this expression is still 5.

The coefficient of 5x^2 in 5x^2 5x is the number that is multiplied with 5x^2. When we expand the expression 5x^2 5x, it becomes 5x^3 + 5x^2. The number that is multiplied with 5x^2 in this expression is still 5, so the coefficient of 5x^2 is 5.

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Answer:

This might not be right but...

Step-by-step explanation:

jk: 27

nj: 153

jl: 117

knm: 333

mjl: 207

jlk: 297

Im Sorry if its wrong

Answer:  Part A:

To represent the cost per night x and cost per meal y in a system of equations, we can use the information provided in the question:

First Special:

3x + 4y = 233

Second Special:

3x + 3y = 226.50

Where x is the cost per night and y is the cost per meal.

Part B:

To find the cost per night and the cost per meal, we can use the information provided in the question and system of equations.

We can solve this system of equations using several methods: substitution or elimination method.

One common method to find the solution is by substitution method, where we find the value of x in terms of y from one of the equations and then substitute it into the other equation to solve for y.

x = (233 - 4y)/3

then substitute it into the other equation:

3(233 - 4y) + 3y = 226.50

now solve for y:

699 - 12y + 3y = 226.50

-9y = -472.50

y = 52.50

and we can substitute it back into the first equation:

3x + 4(52.50) = 233

3x = 80.50

x = 26.83

So the cost per night is $26.83 and the cost per meal is $52.50

Step-by-step explanation:

Answer:

I believe it would be x=-5

Step-by-step explanation:

..

Across the y-axis, translated 2 units to the right and four units to the left, the new function is now h(x) = -(x + 2)3 - 4

Step (i): The type of transformation change of the function

a) The translated left "c" units are x - c;

b) The translated right "c" units are x + c

Step (ii) The given function is translated "2" units right side, then the new function is

followed by the translated "4" units left sides and reflected across the y-axis.

Now the new function is h(x).

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Answer:

[tex]x = \frac{9}{5} [/tex]

Step-by-step explanation:

[tex] - 7( - 7 \times ( - x - 1)) = 6 (- \times ( - 2x - 3))[/tex]

[tex] - 7 + 7x + 7 = 6 + 2x + 3[/tex]

[tex]7x - 2x = 6 + 3 + 7 - 7[/tex]

[tex]5x = 9[/tex]

[tex] \frac{5x}{5} = \frac{9}{5} [/tex]

[tex]x = \frac{9}{5} [/tex]

Answer:

yes, the board is long enough

Step-by-step explanation:

5.5 in x 4 walls = 22 inches

The board is 24.5 in, so there is enough.

24.5 > 22, there is an extra 2.5 in left over.

Answer:

Step-by-step explanation:

2

Answer:

<1=75°[corresponding angles are equal]

<2=180-<1=(180-75)°=105°[sum of st.angles is supplementary]

<3=<2=105°[Vertically opposite angles are equal]

<4=75°[Alternate angles are equal]

<6=<2=105°[Corresponding angles are equal]

<7=<6=105°[Vertically opposite angles are equal]

<8=75°[Vertically opposite angles are equal]

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The length of PG if PG' is 0.5 units is; 3 units.

The act or action of enlarging, expanding, or widening : the state of being dilated: such as. : the act or process of expanding (such as in extent or volume)

Here, given that,

Dilation is simply defined as the shrinking or enlarging of an object by a scale factor.

Now, we are told that Line HG is dilated to form a shorter line H'G'.

We are told that the scale factor is 1/6.

Point P is the center of dilation and if PG' is 0.5 units, then we can write the relation as follows;

Length of PG'/Length of PG = 1/6

Thus;

0.5/length of PG = 1/6

Length of PG = 0.5/(1/6)

Length of PG = 4 units

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