If the pattern indicated below continued, what would be the total number of cubes in the 8th stage of the pattern?
1, 1+4=5, 1+4+9=14

Answer:

The slope would be 0

Step-by-step explanation:

Answer:

1, 2 and 3  (I, II and III)

Step-by-step explanation:

Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.

The y intercept is 1

the x intercept is:  

0 = 3x + 1

x = 1/3

Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III.  Graph the equation to prove this.  

Answer:

18

Step-by-step explanation:

9 divided by 1/2

9 is a whole number

1 is the numerator and 2 is the denominator

To put it in fraction form multiple 9 x 2 over 1

Which equals 18/1

18 divided by 1 is 18

Answer:

18

Step-by-step explanation:

If you meant, what is the quotient of 9 ÷ 1/2 we get:

\(9/\frac{1}{2}=\\\\9*\frac{2}{1}=\\\\\frac{18}{1} =\\\\18\)

Answer:

To determine the speed, we can use the formula:

speed = distance / time

where distance is measured in feet and time is measured in minutes.

In this case, the distance is 264 feet and the time is 3 minutes. Plugging these values into the formula, we get:

speed = 264 feet / 3 minutes

simplifying, we get:

speed = 88 feet/minute

Therefore, the equipment is traveling at a speed of 88 feet per minute.

The given system of differential equations is dx = ax + by and dy = cx + dy. To determine the functions x(t) and y(t) as a function of time, we need to solve the system for different values of the coefficients a, b, c, and d. We will consider three cases: (a) b = 1, c = 4, (b) a = 2, d = -1, and (c) a = -2, b = -1. We will find the general solutions, particular solutions with the given initial conditions, and describe their asymptotic behavior.

Case (a): For b = 1 and c = 4, we have dx = ax + y and dy = 4x + y. Solving these equations yields the general solutions x(t) = Ce^(at) - t - 1 and y(t) = De^(at) + 4t - 3, where C and D are constants. Applying the initial conditions x(0) = 1 and y(0) = 0, we can determine the particular solutions x(t) = e^(at) - t - 1 and y(t) = 4t - 3.
Case (b): For a = 2 and d = -1, the system becomes dx = 2x + by and dy = cx - y. The general solutions are x(t) = Ce^(2t) - (b + 1)y and y(t) = De^(2t) + cx - y, where C and D are constants. Substituting the initial conditions x(0) = 1 and y(0) = 0, we find the particular solutions x(t) = e^(2t) - (b + 1)y and y(t) = (c - 1)e^(2t) + cx.
Case (c): In this case, a = -2 and b = -1, resulting in dx = -2x - y and dy = cx - y. The general solutions are x(t) = Ce^(-2t) + (1 - c)y and y(t) = De^(-2t) + cx - y, where C and D are constants. Using the initial conditions x(0) = 1 and y(0) = 0, we obtain the particular solutions x(t) = e^(-2t) + (1 - c)y and y(t) = (2c - 1)e^(-2t) + cx.
The asymptotic behavior of the particular solutions can be described by examining the exponential terms in the general solutions. If the coefficients in front of the exponential terms are positive, the solutions will approach infinity as t approaches infinity. Conversely, if the coefficients are negative, the solutions will approach zero. Additionally, the presence of linear terms (such as -t or 4t) will affect the overall behavior of the solutions.

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Answer:

B.Q1, Q3, maximum

Step-by-step explanation:

The left side of the box is hovering over 65

The left side of the box represents quartile 1

The right side of the box is hovering over 85

The right side of the box represents quartile 3

The whisker at the end of the right side is hovering over 100

The whisker at the very end of the right represents the maximum

Hence, we can conclude that the answer is Q1 Q3 maximum

Answer:

16 cars

Step-by-step explanation:

Answer:

Easy 45-29=16.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y= 1x-1

Slope= 1

Y intercept= -1

Answer:

Step-by-step explanation:

Slope m = (5 - 1) / (6 - 2) = 1

y - 1 = 1(x - 2)

y = x - 1 Slope intercept form of linear equation

y-intercept is ( - 1)

x - y = 1 Standard form of linear equation

Answer:

B=53

C=127

D=127

Step-by-step explanation:

Answer:

The number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Step-by-step explanation:

The possible pathways are as follows:

(0, 0) → (1, 0) → (2, 0) → (3, 0) → (3, 1) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (1, 1) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

Thus, the number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Answer:

AB = ½XZ. XZ = 5*2=10. (The middle line of the triangle)

AC = ½YZ. YZ = 7*2=14. The middle line of the triangle)

XY+YZ+XZ=P. P=110+14+24.P=48

Step-by-step explanation:

The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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Difference in the medians as a multiple of the IQR = 5.

The Interquartile Range (IQR) formula computes the median of a set of data. One of the smallest statistical measurements of dispersion is the interquartile range. The interquartile range refers to the spread between the upper and lower quartiles.

The interquartile range is defined as Upper Quartile - Lower Quartile.

According to the question,

Data set of Mount Vernon= 55, 60, 65, 70, 75, 80, 85, 90

Data set of Lakewood= 65, 70, 75, 80, 85

Data sets are already in ascending order.

Median for Mount Vernon = 70+75/2 = 77.5

Median for lower half of set= 55+60+65+70/4 = 62.5

Median for upper half of set= 75+80+85+90/4 = 82.5

IRQ for Mount Vernon = 82.5-62.5 = 20

Now similarly in case of Lakewood,

Median= 75.

Median for lower half of set = 65+70/2 = 67.5

Median for upper half of set = 80+85/2 = 82.5

IRQ = 82.5 - 67.5 = 15.

Hence, difference in IRQ = 20-15 = 5.

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Step-by-step explanation:

Apply rule: 3x+3x =-1

Add similar elements: 6x=-1

Divide both sides by six

Simplify: x= -1/6

Answer:

Mekenzie travels at a faster rate.

Step-by-step explanation:

Given that Mekenzie skateboards at a rate of  3 ½ miles every ⅓ hour, and Josh skateboards at a rate of 2 ⅔ every 4 hours:

It is important to have the same unit of measure in these types of word problems. We must convert Josh's travel rate to match Mekenzie's travel rate.

"Every ⅓ hour" means 20 minutes because 1 hour = 60 minutes. Hence, ⅓ of 60 minutes = 20 minutes.  

3 ½ miles every ⅓ hour = 3.5 miles for every 20 minutes.  

2 ⅔ every 4 hours:

2 ⅔ or 2.666667 = 8/3 miles  

8/3 miles every 4 hours = 8/3 ÷ 4 hours = 0.1667 miles for every 1 hour

0.1667 miles for every 1 hour = 0.1667 ÷ ⅓ hour = 0.556 miles every ⅓ hour.

0.556 miles every ⅓ hour  = 0.556 miles for every 20 minutes.

Therefore, Mekenzie travels faster than Josh.

Answer:

i believe it’s C 80 %sure

Step-by-step explanation:

Answer:

Start by evening out the sides

6x + 6 = -12

      -6 = -6

6x = 18

Divide by six (bc variable in front of x)

x = 3

Answer:

absolute value function?

im not sure.

Step-by-step explanation:

The linear function is:

f(x) = $10*x

Where the domain is:  [10, 25]

And the range is: [$100, $250]

Here we know that x represents the number of hours that he works per week, and we also know that he wins $10 per hour, then if he works x hours, the amount that he wins is x times $10, so the equation is just:

f(x) = $10*x

Now we also want to get the domain and range for this function. We know that he needs to work at least 10 hours and at maximum of 25 hours, so we have the restrictions:

10 ≤ x ≤25

So the domain is D: [10, 25]

To find the range we evaluate in the values of the domain, the minimum of the range is f(10) = $10*10 = $100

The maximum of the range is f(25) = $10*25 = $250

Then the range is R: [$100, $250]

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Answer:

10

Step-by-step explanation:

it us a right triangle so we can use the equation

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

10 = c

The second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.

Here,

To find the angle measure the second ramp needs to have, we can use the concept of angles of elevation and depression.

When the car drives off the first ramp, it will be going at an angle of 15° from the ground, and the angle of elevation from the ground to the car will also be 15°.

This is because the angle of elevation is the angle between the horizontal line and the line of sight from the ground to an object above the ground.

Now, when the car reaches the top of the first ramp, it will be at the same level as the second ramp.

At this point, the car needs to continue its ascent with an additional angle of 20° (35° - 15°) to reach the desired angle of 35° from the ground.

So, the second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.

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Answer:

C!

Step-by-step explanation:

a) two representatives be picked in 5850 ways so that one is a mathematics major and the other is a computer science major. b) one representative be picked in 343 ways who is either a mathematics major or a computer science major.

Product Rule: If one event occurs in m ways and a second event occurs in n ways, the number of ways the two events occur in the sequence is m×n ways.

Sum Rule: If an event occurs either in m ways or in n ways (non-overlapping), the number of ways the event can occur is m+n ways.

according to the question,

Mathematics majors =18 and Computer science majors = 325

A. We need to use the product rule because the first event is picking up a Mathematics major and the second event is picking up a computer science major.

= 18 x 325

= 5850

B. Here sum rule is applicable because the event is picking up a mathematics major or a computer science major.

= 18 + 325

= 343

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(complete question)

there are 18 mathematics majors and 325 computer science majors at a college. a) in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) in how many ways can one representative be picked who is either a mathematics major or a computer science major.

The variables that have been mentioned in the question that are going to vary directly are options ADF

Direct variation is a mathematical relationship between two variables where one variable is a constant multiple of the other. This means that as one variable increases, the other variable also increases in proportion to the constant of proportionality.

The relationship between two variables, say x and y, is said to be directly proportional if there exists a constant k, called the constant of proportionality, such that y = kx. In other words, y varies directly with x.

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