c). The local bus service has 2 lines of buses that start together at 8
a.m. Buses on line A leave after every 15 minutes while Buses on line
B leave after every 20 minutes. In a day, how many times do buses on
both line A and B leave together between 8 a.m. and 11 a.m.

Step-by-step explanation:

\(\tt{} \frac{ \sqrt[3]{60} }{ \sqrt[3]{36} } \)

\(\tt{} \frac{ \sqrt[3]{5} }{ \sqrt[3]{3} } \)

\(\tt{} \frac{ \sqrt[3]{5} }{ \sqrt[3]{3} } \times \frac{ \sqrt[3]{ {3}^{2} } }{ \sqrt[3]{ {3}^{2} } } \)

\(\tt{} \frac{ \sqrt[3]{5} \sqrt[3]{ {3}^{2} } }{ \sqrt[3]{3} \sqrt[3]{ {3}^{2} } } \)

\(\tt{} \frac{ \sqrt[3]{5 \times {3}^{2} } }{ \sqrt[3]{3 \times {3}^{2} } } \)

\(\tt{} \frac{ \sqrt[3]{5 \times 9} }{ \sqrt[3]{ {3}^{3} } } \)

\(\tt{} \frac{ \sqrt[3]{45} }{3}\)

\(\tt{}1.18563\)

Answer:

see below

Step-by-step explanation:

He forgot to multiply 'x' by '2'  in the first step

It should be

4x-1 = 5 + 2 x

2x = 6

x = 3

Answer:

n³ + 15n² + 56n

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = l × w × h.

We are given the dimensions of this rectangular prism: n, n + 7, n + 8.

We can assume that these are the length, width, and height of the rectangular prism (not in any specific order).

Let's substitute these values into the formula to find the volume of the prism, written as a polynomial in standard form.

The volume of the prism is n³ + 15n² + 56n. This is in standard form because the terms are listed in descending power order.

Answer:

Pretty sure it's 90 degrees

Step-by-step explanation:

Answer:

Your friend made 35 bird houses.

Step-by-step explanation:

If the ratio from your houses to your friends houses is 4:5, that means that for every 9 houses built, your friend did 5. So, every 18 houses built, your friend did 10. For every 27, your friend did 15, and for 36, your friend did 20, and for every 45, your friend did 25, and for every 54, your friend did 30, and for every 63, your friend did 35.

Answer:

The average rate of change of a function over an interval is found by taking the difference between the function's values at the endpoints of the interval and dividing by the length of the interval. In this case, we have:

f(1) = -3(1)^3 + 7(1) = -3 + 7 = 4

f(3) = -3(3)^3 + 7(3) = -27 + 21 = -6

The average rate of change over the interval from x=1 to x=3 is therefore (-6 - 4) / (3 - 1) = -10 / 2 = -5.

To label your answer, you could write something like: "The average rate of change of the whale's movement over the interval from x=1 to x=3 seconds is -5 meters/second."

The statement which best describes the translation from the graph y= 6x² to the graph of y = 6(x+1)² is; The translation represents a unit shift rightward.

The translation involved in the transformation of the graph as given in the task content represents a rightward shift of the graph y = 6x² by 1 unit.

On this note, it follows that the translation involved between the two graphs is; a unit shift to the right.

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Answer:

Step-by-step explanation:

one unit to the right

Answer:

$400

Step-by-step explanation:

£45.84

Assuming that's 7.5%

Step-by-step explanation:

each can is R is 4 so her width is 8. 6×8= 48 4×8=32 so it means the cardboard is 32×48. now calculate the area (1536 i think) and reduce 24×4^2×pi that this is the area of the cans.

Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

Answer:

8

Step-by-step explanation:

Original equation:

0.1m + 8 - 12n

Plug in the values of m and n

0.1(30) + 8 - 12(0.25)

Multiply.

0.1 x 30 = 3

3 + 8 - 12(0.25)

Multiply.

-12 x 0.25 = -3

3 + 8 - 3

Add.

3 + 8 = 11

11 - 3

Subtract.

11 - 3 = 8

Hope I helped :)

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a) The probability of extinction occurring in the first generation is (0.5).

b) The probability of extinction occurring in the second generation is 0.25

c) The probability of extinction occurring in the third generation is 0.125

d) The probability of extinction occurring in the fourth generation is 0.0625

e) The probability of extinction occurring in the fifth generation is 0.03125

In a branching process, each individual can either have zero offspring or one offspring with a probability of 0.5. The probability of extinction occurring at each generation is the probability that all individuals have zero offspring, which is equal to \((0.5)^n\), where n is the generation number.

Therefore, the probability of extinction occurring by a certain generation can be calculated by raising 0.5 to the power of the generation number.

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Answer:

the length of the base of the ramp is 28.27 inches

Step-by-step explanation:

The computation of the length of the base of the ramp is shown below:

Let us assume x be the length of the base of  the ramp

Now the following formula should be used

tan = opposite ÷ adjacent

tan 23 degrees = 12 ÷ x

x = 12 ÷ tan 23 degrees

= 12 ÷ 0.42447482

=28.27 inches long

Hence, the length of the base of the ramp is 28.27 inches

If the average of defective items is 0.038% then we will get 3 items being defective from 8000 items which are checked.

Given that the average of finding a defective item is 0.038%.

We are required to find the number if defective items that we will find from 8000 items.

Percentage is the number or ratio that is expressed in terms of 100. It is expressed as %.

Average of defective items=0.038%

Number of items checked=8000

Number of defective items that we will get=8000*0.038/100

=304.100

=3.04

Approximately 3 items.

Hence if the average of defective items is 0.038% then we will get 3 items being defective from 8000 items which are checked.

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Let the number be represented by "n"

Zero is the slope of a line parallel to this line.

-1/9 is the slope of a line perpendicular to this line.

According to linguists, the Middle English adverb aslope, which meaning "at an angle," is where the term slope is said to have originated. A steep hill or the ramp in a parking garage are examples of things that are at an angle or on a slope and may be described using the word's noun form.

The ratio of the vertical change between two places is referred to as the slope. A line's slope is another indicator of how steep it is. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

The line becomes: y = 9x - 3

line is in the Slope-Intercept form : y = mx + c

Now comparing this two and we get slope, (m) = 9

So, The line perpendicular will have slope (m') = -1/m

or, m' = -1/9

The line parallel to this line will have slope (m'') = 0

because here the two lines are parallel, so they have no slope.

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Answer:

[-7, 6]

Step-by-step explanation:

The range is the y values that the equation/line covers.

The line's lowest point is -7 and the line's highest point is 6. The value is defined at both -7 and 10 since there is a closed circle in both locations- so we use brackets.

The probability of obtaining at least three heads on the tosses is 1/8. The probability of obtaining three heads if the first toss is a head is 1/4. There are 2^4 = 16 possible outcomes for the tosses of the penny, nickel, dime, and quarter. There is only one way to get all four heads, and there are four ways to get three heads.

Therefore, the probability of obtaining at least three heads on the tosses is 5/16 = 1/8. If the first toss is a head, there are three possible outcomes for the remaining tosses: HHH, HHT, and HTH. Therefore, the probability of obtaining three heads if the first toss is a head is 3/8 = 1/4.

The probability of obtaining at least three heads on the tosses can be calculated as follows:

P(at least 3 heads) = P(4 heads) + P(3 heads)

The probability of getting four heads is 1/16, since there is only one way to get all four heads. The probability of getting three heads is 4/16, since there are four ways to get three heads (HHHT, HTHH, THHH, and HHHH). Therefore, the probability of obtaining at least three heads on the tosses is 1/16 + 4/16 = 5/16.

The probability of obtaining three heads if the first toss is a head can be calculated as follows:

P(3 heads | first toss is a head) = P(HHH) + P(HHT) + P(HTH)

The probability of getting three heads with a head on the first toss is 3/8, since there are three ways to get three heads with a head on the first toss. Therefore, the probability of obtaining three heads if the first toss is a head is 3/8.

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After considering the given options we conclude that the evaluated best rated channel is Tel EVision, which is Option B under the condition that Tamela compared the rates of three cable companies.

The cable company that has the best rate per channel is evaluated by applying the principle of division
The rate per channel is found out by using  the proportions in the context of this problem, dividing the total price by the measure of channels.
Hence the rates for each company are given as by:
Then TV Watchers: 30.8/70 = $0.44 per channel.
Tel-EVision: 46.4/145-$0.32
Channels Galore: 40.8/120 = $0.34

Hence, the best rate is the lower rate, which is the causing factor for the answer given at the beginning of the problem.
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Answer:

A) -4,-4/3,-4/9,-4/27

B) converge

C) no idea

Answer:

5x5x5x5x5x5

Step-by-step explanation:

Answer:

A. 524m^3

Step-by-step explanation:

Formula for volume of sphere:

\(V = \frac{4}{3} \pi r^3\)

If we use 3.14 for pi, we get:

V = 4/3(3.14)(5)^3

V = 523.33

The tangent function has a period of π (180 degrees). In the interval from 0 to 2π, the solutions for θ are approximately 1.03 and -4.25 radians.

To solve the equation tan θ = -2 in the interval from 0 to 2π, we can use the inverse tangent function

(also known as arctan or tan^(-1)).

Taking the inverse tangent of both sides of the equation, we get

θ = arctan(-2).
To find the values of θ within the given interval, we need to consider the periodic nature of the tangent function.
The tangent function has a period of π (180 degrees).

Therefore, we can add or subtract multiples of π to the principal value of arctan(-2) to obtain other solutions.
The principal value of arctan(-2) is approximately -1.11 radians.

Adding π to this value, we get

θ = -1.11 + π

≈ 1.03 radians.

Subtracting π from the principal value, we get

θ = -1.11 - π

≈ -4.25 radians.
In the interval from 0 to 2π, the solutions for θ are approximately 1.03 and -4.25 radians.

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The solution to the equation tan θ = -2 in the interval from 0 to 2π is approximately 3.123 radians (or approximately 178.893 degrees).

The equation tan θ = -2 can be solved in the interval from 0 to 2π by finding the angles where the tangent function equals -2. To do this, we can use the inverse tangent function, denoted as arctan or tan⁻¹.

The inverse tangent of -2 is approximately -1.107. However, this value corresponds to an angle in the fourth quadrant. Since the interval given is from 0 to 2π, we need to find the corresponding angle in the first quadrant.

To find this angle, we can add 180 degrees (or π radians) to the value obtained from the inverse tangent. Adding 180 degrees to -1.107 gives us approximately 178.893 degrees or approximately 3.123 radians.

Therefore, in the interval from 0 to 2π, the solution to the equation tan θ = -2 is approximately 3.123 radians (or approximately 178.893 degrees).

In conclusion, the solution to the equation tan θ = -2 in the interval from 0 to 2π is approximately 3.123 radians (or approximately 178.893 degrees).

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Slope:

M = -1

Slope intercept-form:

y = -x + 1

Answer:

5

Step-by-step explanation:

Answer:

The final answer is \(x = 5\), which would be the second choice.

Step-by-step explanation:

Solve the equation:

\(-16x = -80\)

-Divide both sides by -16:

\(\frac{-16x}{-16} = \frac{-80}{-16}\)

\(x = 5\)

So, the final answer is \(x = 5\) .

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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After 11 years, we can expect to observe approximately 4146 monk parakeets in the united states.

to write an exponential growth model for this situation, we can use the formula:

n(t) = n0 * (1 + r)ᵗ

where:

- n(t) is the number of monk parakeets after t years- n0 is the initial number of monk parakeets (in 1993)

- r is the annual growth rate, expressed as a decimal (e.g. 0.13 for 13%)- t is the number of years since 1993

so for this problem, we have:

- n0 = 1219

- r = 0.13- t = 11 (to find the value after 11 years) and t = 20 (to find the value after 20 years)

using these values, we can calculate n(t) as follows:

- after 11 years:

n(11) = 1219 * (1 + 0.13)¹¹ = 4146.16 - after 20 years:

n(20) = 1219 * (1 + 0.13)²⁰ = 12979.05

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