The table below shows some snowfall totals from several cities in Michigan over an eight-day period in 2016.
City Name
South Haven
Ludington
Traverse City
Lansing
Coldwater
Snowfall Amount
(inches)
18 to 24
30 to 36
12 to 18
4 to 6
6 to 8
South Haven, Ludington, and Traverse City are located right on Lake Michigan. Lansing and Coldwater are located inland. Why
might the snowfall totals be significantly higher in South Haven, Ludington, and Traverse City during the eight-day period?
A. The air traveling across the lake is warmer than the lake, and it produces snow as it passes over the cold lake water.
B. The lake water is warmer than the land, which produces large amounts of snow in areas close to the water.
OC. The lake water is cooler than the land, which produces large amounts of snow in areas close to the water.
D.
The air traveling across the lake is the same temperature as the lake, so water is less likely to evaporate from the lake.

Kyra and Micah will have the same amount of money after 8 hours of work.

To find the number of hours Kyra and Micah need to work to have the same amount of money, we can set up an equation where the total amount of money they earn is equal to each other.

Let's use "x" to represent the number of hours they work: 24 + 8.25x = 30 + 7.50x, Simplifying the equation, we get: 0.75x = 6, x = 8

Therefore, Kyra and Micah will have the same amount of money after 8 hours of work.

To understand the solution, we can think of it as the point where the two lines representing their earnings intersect. Kyra's earnings are represented by the line y = 8.25x + 24, and Micah's earnings are represented by the line y = 7.50x + 30.

By setting the two equations equal to each other and solving for x, we find the point where the two lines intersect, which corresponds to the number of hours they need to work to have the same amount of money.

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Answer:

900

Step-by-step explanation:

1.analyze problem

2. 30/13*390

3.900

Let's call the cost of the dryer "x".

We know from the problem that the washer costs $68 less than the dryer, so the cost of the washer would be "x - 68".

The problem also tells us that the combined cost of the washer and dryer is $782. So we can set up an equation:

x + (x - 68) = 782

Simplifying this equation, we get:

2x - 68 = 782

Adding 68 to both sides, we get:

2x = 850

Dividing both sides by 2, we get:

x = 425

So the dryer costs $425.

Answer:

X=1.5,y=2.5

Step-by-step explanation:

By elimination method

U have to make either x or y values equal and then eliminate it

The y values have a common value 12

By multiplying 6×2 and 3×4

2(4x+6y)=(21)2

4(7x-3y)=(3)4

8x+12y=42

+

28x-12y=12

36x=54

X=54/36=1.5

Substitute x with 1.5

Y=2.5

The solution to the simultaneous equation is x = 3/2 and y = 5/2.

A system having more than two equations is known as a system of equations

The given pair of equations is:

4x + 6y = 21       (1)

7x - 3y = 3          (2)

Multiply equation (2) by 2 and add into equation (1):

4x + 6y + 14x -6y = 21 + 6

18x = 27

x = 27/18

x = 3/2

Substitute x = 3/2 into equation (1):

4(3/2) + 6y = 21

6 + 6y = 21

6y = 15

y = 15/6

y = 5/2

Hence, the solution to the simultaneous equation is x = 3/2 and y = 5/2.

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Minimum: 112

Quartile Q1: 129.5

Median: 138

Quartile Q3: 154.5

Maximum: 156

The quadratic function with leading coefficient 1 and roots of 22 and p is: f(x) = x^2 - (p + 22)x + 22p

To write a quadratic function with leading coefficient 1 and roots of 22 and p, we can use the fact that the roots of a quadratic function in standard form (ax^2 + bx + c) can be found using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / (2a)

Given that the leading coefficient is 1, the quadratic function can be written as:

f(x) = (x - 22)(x - p)

Expanding this expression:

f(x) = x^2 - px - 22x + 22p

Rearranging the terms:

f(x) = x^2 - (p + 22)x + 22p

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Answer:

57.33

Step-by-step explanation:

50+28+3x=180

78+3x=180-78

3x=172/3

x = 57.33

Given a parabola written in the form

The vertex is (h, k), the focus is (h, k+p) and the directrix is y = k - p.

Our parabola equation is

Therefore, if we compare with the form presented, the vertex of this parabola is

The focus is

And the directrix is

Answer:

1. 2x

2. 3x

3. 2x+5

4. (3x)^2

5. 3\4(x)

I hope it makes sense

have a great day

if any questions pls ask

Answer:

5

Step-by-step explanation:

First let turn 25 into a fraction

\(\frac{25}{1}*\frac{1}{5}\)

Multiply

\(\frac{25}{5}\)

Divide/Simplify

\(=5\)

Answer = 5

[RevyBreeze]

Answer:

x+8*2=57.4

x=41.4

Step-by-step explanation:

Peter is thinking about a number. So, let's represent that number by x. So, he adds 8 to that number. x+8 so far. Then he doubles the result. x+8*2  to get an answer of 57.4. x+8*2=57.4. Ok, now in order to solve for x we would take 8*2 and get 16. 57.4-16=41.4. Now we know that x is 41.4. Substitute x into the equation. 41.4+8*2=57.4. 57.4=57.4. Have a great day! :)))))

Answer:

(- 1, - \(\frac{1}{2}\) )

Step-by-step explanation:

The centre is located at the midpoint of the diameter.

Using the midpoint formula , then

centre = \(\frac{-10+8}{2}\), \(\frac{-5+4}{2}\) ) = ( \(\frac{-2}{2}\), \(\frac{-1}{2}\) ) = (- 1, - \(\frac{1}{2}\) )

I will choose Flo's Rentals because total cost for its upgraded SUV is cheaper compared to Jake's Neighbor Rentals.

Flo's Bundle Rentals:

Daily rate for upgraded SUV: $46.99

Mileage cost after 50 free miles: $0.50/mile

The total mileage cost for 700 miles

=  $0.50/mile x 650 miles

= $350.00

The total cost for 5-day for 700-mile rental:

= $46.99/day x 5 days + $350.00

= $592.95

Jake's Neighbor Rentals:

Daily rate for upgraded SUV: $42.99

Mileage cost after 50 free miles: $0.70/mile

The total mileage cost for 700 miles:

= $0.70/mile x 650 miles

= $455.00

The total cost for 5-day for 700-mile rental:

= $42.99/day x 5 days + $455.00

= $665.95.

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We can see here that the main difference between the teaching of data handling in Grade 5 and Grade 6 is the complexity of the concepts that are taught.

Data handling refers to the process of organizing, managing, and manipulating data in order to extract useful information and draw meaningful insights. It involves various tasks, including collecting, storing, cleaning, analyzing, and presenting data.

In Grade 5, students are introduced to basic concepts of data handling, such as collecting, organizing, and representing data. In Grade 6, students learn more complex concepts, such as analyzing and interpreting data, and using data to make decisions.

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There are 5040 possible combination of 7 letter words using 3 vowels and 4 consonants.

We know that the word must have 4 consonants and 3 vowels. We have the following vowels in "mathisfun" : i, a, and u.

We have 7 letters that can be used as consonants: m,t,h,s,f,n.

First we need to find the number of ways to choose the 4 consonants out of 7 possible letters, which is 7C4 = 35.

Then we need to find the number of ways to arrange the 4 consonants and 3 vowels, which is 4!*3! = 144

Finally, we multiply those two values together: 35 * 144 = 5040.

So there are 5040 7 letter words that can be made from "mathisfun" if each word must have 4 consonants and 3 vowels.

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Answer:

12.5 pie , 39.25 using pie=3.14, and 39.28 to be exact

Step-by-step explanation:

BTW n=pie

10in= Diameter

5in=Radius

Area=n5^2

= 25n/2

=12.5n

12.5 times 3.14= 39.25

22/7 times 12.5= 39.2857143

Answer: 1. 64 | 2. 32

Step-by-step explanation:

Formula for a rectangle is Area = Length*Width

Therefore: 8*8 = 64

Formula for a triangle is Area = 1/2*Base*Height, which is also 1/2*length*width

Therefore: 1/2*8*8 = 32

Hope this helps :)

We have the following:

1.

Therefore, the system has no solution

2.

Therefore, the system has infinite solutions

Answer:

domain = 0,1,2,3

range= 5,7,15,44

Answer:

She can swin 3.6 km in 1 hour using freestyle.

Step-by-step explanation:

If she can swin 0.3 kilometers in 10 minutes or 1/6 hours using backstroke, then her speed on that style is:

\(v_{backstroke} = \frac{0.3}{\frac{1}{6}} = 0.3*6 = 1.8 \text{ } \frac{\text{km}}{\text{h}}\)

If she can swim twice the distance in the same time for freestyle, then her speed on that is twice the one in backstroke. Therefore, her speed on freestyle is:

\(v_{freestyle} = 2*v_{backstroke} = 2*1.8 = 3.6 \text{ } \frac{\text{km}}{\text{h}}\)

Since her speed in freestyle is 3.6 km per hour, this means that she can swim a total of 3.6 km in one hour.

Answer:

A plant with yellow leaves and stunted growth is likely deficient in nutrients such as nitrogen, iron, magnesium or sulfur. It could also be affected by a viral or fungal infection, or an environmental stressor such as too much or too little water, poor soil quality or exposure to extreme temperatures. A soil test or analysis of the plant's symptoms can help identify the specific cause of the deficiency and appropriate treatment or management practices.

Step-by-step explanation:

The type of sampling used in this situation is systematic sampling. This ensures that every item has an equal chance of being selected for inspection, and it is a systematic approach to sampling.


Systematic sampling is a probability sampling technique where a researcher selects every nth element from a list or population. In this scenario, the quality control engineer inspects every 20th item off the production line, which means that they are selecting every 20th element from the population of items produced on the line.

Convenience sampling is a non-probability sampling technique where a researcher selects participants based on convenience or availability. Volunteer sampling is a type of convenience sampling where participants volunteer to be part of the study. In this scenario, the quality control engineer is not selecting items based on convenience or availability, but rather a systematic approach that ensures every item has an equal chance of being inspected. Therefore, neither convenience nor volunteer sampling apply to this situation.

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Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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True. Comparing two marginal distributions can show if the corresponding two variables are related. This can be done by calculating the correlation coefficient of the two variables.

The correlation coefficient is a numerical measure of the degree of the linear relationship between two variables and can be calculated by dividing the covariance of the two variables by the product of their standard deviations. The correlation coefficient ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation and 1 indicates a perfect positive correlation.

If the correlation coefficient is close to zero, then the two variables are not significantly related. If the correlation coefficient is close to -1 or 1, then it can be inferred that the two variables are related.

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Answer:

36(2+h)

Step-by-step explanation:

Answer:

A. 584.6 or 585.

Step-by-step explanation:

Answer:

a. 584.6 ft²

Step-by-step explanation:

Area of regular hexagon by the length of side: 3√3/2 * side²

area = 3√3/2 * 15² = 584.57

So the amount of gain that can be deferred under the installment sale method is $424,879.16.

Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.

Here,

To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.

Selling price = $99,800 cash + $998,000 note = $1,097,800

Adjusted basis = $798,400 - $479,040 = $319,360

Total gain = $1,097,800 - $319,360 = $778,440

To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:

Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%

Now we can calculate the amount of gain that can be deferred using the formula:

Gain deferred = Gross profit percentage × Payments received

Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:

$99,800 + ($998,000 / 2) = $598,800

Substituting into the formula, we get:

Gain deferred = 0.7097 × $598,800 = $424,879.16

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Answer:

Angles are congruent if they have the same angle measure in degrees. Try this Adjust any angle below by dragging an orange dot at its ends. The other angle will change to remain congruent with it. Angles are congruent if they have the same angle measure in degrees.

Step-by-step explanation:

Hope this helps!

Answer:

The definition of a congruent angle, is a shape which all angles are equal and the same as each other. A square has a congruent angle, because all the angles are 90 degrees.

Step-by-step explanation:

Didn't really understand what you meant, but I hope this helps you understand it better! <3