he graph represents the heights of two climbers on a climbing wall over a 12-minute time period.

A graph where the horizontal axis shows time (minutes), numbered 1 to 12, and the vertical axis shows height (feet) numbered 2 to 24. The line labeled Brynn's climb begins at 0 feet in 0 minutes, to 15 feet from 5 to 7 minutes, to 0 feet in 10 minutes. The line labeled Abby's climb begins at 4 feet in 0 minutes, to 14 feet from 4 to 6 minutes, to 22 feet in 8 minutes, to 0 feet in 12 minutes.

How high did Abby climb above her original starting position?

8 feet
15 feet
18 feet
22 feet

It appears that from graph that the function is increasing in the interval (-∞,-1) and (1,∞). Also the function is decreasing in the interval (-1,1) and (0.0.5).The function is not constant anywhere.

To check if this is correct, we will find the relative extrema of the function,

f(x) = x³-x²-2x+3

Find it derivative f'(x) = 3x²-2x-2

f'(x) = 0

⇒ x = 2 ± √(4+24)/3

      = 3.77 , -1.1

Find the second derivative f''(x) = 6x -2

f''(3.77) = 20.62>0

So the function has a relative minimum at x = 3.77.

f''(-1.1) = -8.6<0

So the function has a relative maximum at x = -1.1

Now we can conclude with the intervals where the function is increasing is before the relative maximum and after the relative minimum.

i.e., the intervals (-∞,-1) and (3.5,∞) [rounding to the nearest 0.5 unit]

So the interval in which the function is decreasing is between the relative maximum and minimum. i.e.,  the interval (-1, 3.5)

The function is nowhere constant.

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Answer:

Step-by-step explanation:

my answer is  3 1/9 gallons

Given: a container with 3 1/2 gallons of weed killer can spray 2 1/4 lawns.

No. of gallons required to spray 2 lawns = x

So, first of all we should divide 3 1/2 with 2 1/4

now this division we should equalise with  x/3

(3 1/2 ÷ 2 1/4)  = x ÷ 2

after doing this we have got the value of x = 28/9  or 3 1/9

hence, 3 1/9 gallons is required to spray 2  lawns.

So . this question is related to capacity.

https://www.wyzant.com/

Answer: (1,0)

Step-by-step explanation:

Point is located on the x-axis

Hence, y=0

Thus, (1,0)

Answer:

Step-by-step explanation:

180

The toll of death per day in 2015 is 91.

We are given the approximate number of people who died in year 2015, which is 33,200. Now, as per the known fact, the year 2015 has 365 days. So, we can easily calculate the toll in deaths per day by performing division.

Number of deaths in 365 days = 33,200

Number of deaths each day = 33,200 ÷ 365

Performing division to find the number of deaths per day

Number of deaths each day = 90.96

Rounding off the digits to find number of deaths each day

Number of deaths each day = 91

Hence, this toll in deaths per day is 91.

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Answer:

See explanation

Step-by-step explanation:

n=number

a. { n ∈ N | n<10 }    ==> N denotes natural numbers

b. { n ∈ Z | -7<n<7 }    ==> Z denotes integers

c. {n ∈ W | 0<n<=20 }     ==> W denotes whole numbers

Answer:

hope this helped

Step-by-step explanation:

fluid ounces row 1) 64, row 2) 2

Cups row 2) 14

quarts row 1) 2

Spam Answer- Will the Wise

Converting 140 kilometers to miles, the distance from a road sign in Canada to Toronto is 87 miles.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

From the problem, we must convert the distance of 140 kilometers into miles.

Converting kilometers to miles, we must use the conversion

1 kilometer = 0.621371 mile

140 kilometers = 140 (0.621371 mile)

140 kilometers = 86.992 miles

Rounding off to the nearest mile,

140 kilometers = 86.992 miles = 87 miles

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The probability that AT LEAST ONE of them has been vaccinated is 0.9979.

Vaccination rate among the population: p = 0.71

Sample size = 5

Assume that X people have received vaccinations.

P(atleast one) = 1 - P (none)

By the binomial distribution, now,

P(none)= (⁵₀) 0.71° (1-0.71)⁵⁻⁰

             = 1 × 1 (0.29)⁵

            = 0.0021

So,                

P(at least one) therefore equals 1 - P (none)

                        = 1 - 0.0021

                        = 0.9979

Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.9979

An explanation of probability theory?

Probability theory is a mathematical discipline that analyzes random encounters. A random event's outcome cannot be predicted before it occurs, but it could take any of several various forms. The end outcome is thought that it was determined by chance.

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If total cost for tuition plus room and board at state university is 2,584 dollars and  tuition costs 704 dollars more than room and board, then the tuition fees is 1644 dollars

Given,

The total cost for tuition plus room and board = 2584 dollars

Consider the cost for room and board as x

Tuition costs 704 dollars more than room and board.

Therefore the tuition fees = 704+x

Then the total cost = Cost for tuition fees+ Cost for room and board

2584 = (704+x)+x

2584= 704+2x

2x= 1880

x= 940  dollars

Then the tuition fees = 704+x

=704+940

=1644 dollars

Hence, if total cost for tuition plus room and board at state university is 2,584 dollars and  tuition costs 704 dollars more than room and board, then the tuition fees is 1644 dollars

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Figure 1, 2,3and 4 are the cases of rotation, reflection, not the case of any options and rotation respectively

Figure 1 is the case of rotation as the two figures are of exact same size and same shape and are rotated at a angle

Figure 2 is the case  of reflection as both the figures are mirror reflection of each other and are of  exact same size and same shape

Figure 3 is a case of neither transition, refection nor rotation as the two figures are not of exact same size or shape

Figure 4 is a case of rotation as the two figures are of exact same size and same shape and are rotated at a angle

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Using linear functions, it is found that:

A linear function is modeled by the following rule:

y = mx + b

In which:

For each plan, we have that:

Hence the cost functions for sending x messages are given as follows:

The costs will be the same when:

A(x) = B(x)

Hence:

0.1x = 12 + 0.02x

0.08x = 12

x = 12/0.08

x = 150.

Due to the lower intercept of plan A, and the lower cost per message of plan B, we have that:

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The codes of the countries are 34, 35 and 36

The given parameters are

Sum of codes = 105

Where the numbers are consecutive numbers

This means that

B = A + 1

C = A + 2

So, we have

A +A + 1 + A + 2 = 105

Evaluate the like terms

3A = 102

Divide through by 3

A = 34

So, we have

B = A + 1 = 34 + 1 = 35

C = A + 2 = 34 + 2 = 36

Hence, the codes of the countries are 34, 35 and 36

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Answer:

p = 2 + l w

Step-by-step explanation:

The LCM of 8a²b³f⁴ and 3abg is 24a²b³f⁴g.

LCM is an abbreviation for "Least Common Multiple." The smallest multiple which two or even more numbers have in common is defined as the least common multiple.

Figuring the lowest common denominator (LCD) of 2 or even more fractions is a common application of LCM.

It is useful for adding, subtracting, as well as compare different or more fractions.

For the given question, the two numbers are given as; 8a²b³f⁴ and 3abg.

The least common multiple which will divide both the numbers are; all the values with their highest power.

LCM = 24a²b³f⁴g.

Thus, the LCM is found as 24a²b³f⁴g.

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Answer:

you're given a *rate* of decrease and then the *extent* of the "cause". SO the rate is 10C/1000m (right? You understand why this is a rate? You go 1000m up, the temperature drops 10C. And it happens continually, bit by bit, as you climb. That's a rate!

But, you don't stop with climbing just 1000m: you climb 1000m twice *more*. So, how much has the temperature dropped in all, by the end?

You really should be able to put this together as 10C/1000m  x  3000m  = result. It will be in units of (degrees) C.

Now, finish the problem and get down the mountain, before you freeze (also, winds kick up more on mountains -- a double whammy).

Step-by-step explanation:

Answer:

The answer is B, Domain: −2≤x≤2 Range: −2≤y≤3

Step-by-step explanation

Answer:

you did it wrong

Step-by-step explanation:

you add the 2 negatives to qual -5 then divide both sides by -5

Should be -1.6

Answer:

-1

Step-by-step explanation:

-1 has the greatest value

Solution :

the differences in the X coordinates and Y coordinates:

The x-coordinate tells you how many steps you have to take to the right (positive) or left (negative) on the x-axis. And the y-coordinate tells you have many steps to move up (positive) or down (negative) on the y-axis.

Given : difference in the x-coordinates of two points is 3

the difference in the y-coordinates of the two points is 6

The slope of the line :

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.

The net change in the y-coordinate is represented by Δy and the net change in the x-coordinate is represented by Δx.

Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,

m = change in y/change in x = Δy/Δx

Where “m” is the slope of a line.

Tan θ = Δy/Δx can also represent the slope of the line

So, tan θ to be the slope of a line.

Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The letter ‘ m’ usually represents the slope.

If P(x1,y1) and Q(x2,y2) are the two points on a straight line, then the slope formula is given by:

Slope,

m = Change in y-coordinates/Change in x-coordinates

m = (y2 – y1)/(x2 – x1)

Therefore, based on the above formula, we can easily calculate the slope of a line between two points.

In other terms, the slope of a line between two points is also said to be the rise of the line from one point to another (along the y-axis) over the run (along the x-axis). Therefore,

Slope, m = Rise/Run

Use the slope formula.

the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or

the change in the y values over the change in the x values.

The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2. It does not matter which point you label as the first point and which you label as the second. Don't forget to include the correct sign of each value. Simplify to get the value of the slope. Check the your answer by graphing the points and verifying that the vertical distance between the two points and the horizontal distance between the two points is captured by the numerator and denominator of the slope

Ponit (2,3) & (6,9)

Slope of Line = y2-y1/x2-x1

= 9-3/3-2

=6/1

Slope of Line = 6

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Bob after downloading the valid data set from the internet and calculating the correlation values as 0.5 concludes that as the number of bedrooms in a home increases its selling price also increases.

This happens because as there is an increased demand for the number of bedrooms in a home there should be enough supply in the market to fulfill the requirements. So, there should be a surplus of beds in the market and for that the selling price increases to maintain the surplus.

The law of Demand states that as the demand for a particular commodity or a product increases its price also increases. The above example of Bob gets verified according to the Law of Demand.

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If both the upstairs and downstairs switches are in the up position, the light will be off

The given parameters are

Switches = 2 i.e. top and bottom

Also, we have:

When the upstairs switch is up and the downstairs switch is down, the light is turned on.

This means that the light is only on when the upstairs switch is up and the downstairs switch is down

Any other position of the switches, the light is off

From the question, we have

Both the upstairs and downstairs switches are in the up position

This is different from the required position to on the light

Hence, the light will be off

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Genevieve lost more than 33 points in her turn at a video game.

Absolute value describes a number's distance from zero on the number line without taking direction into account. A number's absolute value is never negative.

Given that Matthew's score is −33 points.

In Genevieve’s turn, she scored lesser points than Matthew in her turn at a video game.

Let y be the points scored by Genevieve.

Then we have y < -33

⇒ | y | > | -33 | (Using absolute value on both sides)

⇒ | y | > 33

The absolute value of y can be any number greater than or equal to 34, while Genevieve's point in her video game turn is less than or equal to -34.

Therefore, Genevieve lost more than 33 points in her turn at a video game.

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[tex]$$\begin{aligned}&\text { (1) } \int \sqrt[8]{x^9} d x=\int x^{9 / 8} \cdot d x=\frac{(x)^{\frac{9}{8}+1}}{\frac{9}{8}+1}+c=\frac{8 x^{17 / 8}}{17}+c\\\\&\Rightarrow \int \sqrt[8]{x^9} d x=\frac{8}{17} \sqrt[8]{x^{17}}+c,(c \text { is constant })\\[/tex]

In the previous two chapters, we were given a function and asked to determine its derivative. We are now going to reverse the situation, beginning with this part. We now want to know what function we discriminated in order to obtain the function. This previous example has two implications. The initial goal was to encourage you to start considering solutions to these difficulties. First, it's crucial to keep in mind that we are only asking what we differentiated to obtain the specified function. The second thing to keep in mind is that we could potentially employ an endless number of different functions, and they would all be different by a constant.

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Using the function concept, we have that:

A relation represents a function when each value of the input is mapped to only one value of the output.

On a graph, it means that each value of x is mapped to only one value of y, that is, there are no vertically aligned points on the graph.

For this problem, relation c does not represent a function, as there are multiple values of x are related to two values of y, and there are vertically aligned points on the graph.

In item b, when x = 6, there are two values of y, hence this is also not a function. For items a and d, each value of x is mapped to only one value of y, hence they are functions.

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Answer: 15

Step-by-step explanation:

Distance formula: a^2+b^2=c^2 where c is the distance.

a^2=

(-6-3)^2=

(-9)^2=81

b^2=

(5-(-7))^2=

(5+7)^2=

12^2=144

c^2=81+144=225

If c^2=225, then what's c?

c=15