Find the slope of the line containing the pair of points ​(7​, 0​) and ​(10​, 6​). The slope is nothing. ​(Simplify your answer. Type an integer or a fraction. Type N if the slope is​ undefined.)

Answer:

.125

Step-by-step explanation:

.125 * 8 = 1

Answer:

43

Step-by-step explanation:

The solution to the equation 144 = m - 98 is m = 242 as per the PEMDAS rule.

To solve for m in equation 144 = m - 98, we can follow these steps:

Start with the given equation: 144 = m - 98.

To isolate the variable m, we need to eliminate the -98 on the right side of the equation. We can do this by adding 98 to both sides of the equation:

144 + 98 = m - 98 + 98.

Simplifying the equation, we get: 242 = m.

Now we have m = 242 as the solution to the equation.

Therefore, m = 242 is the value that satisfies the equation 144 = m - 98. By substituting m with 242 in the equation, we can verify that it holds true:

144 = 242 - 98.

144 = 144.

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The complete question:

144 = m - 98

Solve for m

Answer:

Step-by-step explanation:

For units conversion, use a conversion factor ratio with the units you do want in the numerator and the units you don't want in the denominator. The numbers in the numerator and denominator give the ratio a value of 1: the numerator is equal to the denominator--just in different units.

__

1. For feet to mm, you need a couple of additional conversion factors besides the ones shown:

  1 foot = 12 in

  1 cm = 10 mm

So, the conversion is ...

  [tex](3\text{ ft})\times\dfrac{12\text{ in}}{1\text{ ft}}\times\dfrac{2.54\text{ cm}}{1\text{ in}}\times\dfrac{10\text{ mm}}{1\text{ cm}}=3\times12\times2.54\times10\text{ mm}\\\\=\boxed{914.4\text{ mm}}[/tex]

__

2. The additional factor you need for this problem is ...

  1 mile = 5280 feet

So, the conversion is ...

  [tex](157\text{ ft})\times\dfrac{1\text{ mi}}{5280\text{ ft}}\times\dfrac{1\text{ km}}{0.62\text{ mi}}=\dfrac{157}{5280\times0.62}\text{ km}\\\\\approx\boxed{0.0479594\text{ km}}[/tex]

_____

Additional comment

You can use Google to do units conversion by typing "3 feet to mm" or "157 feet to km". However, the conversion factor for the latter will be more exact than the one given in this problem. Hence the Google answer to the second question will not be applicable here.

Answer:

In the y=3x-4 section it should be (3,5), (6,14), (5,11)

In the y= (1/2)x + 2 section it should be (4,4) , (2,3)

I hope this works!

Step-by-step explanation:

Answer:

Ellipse when the (tilted) plane intersects only one cone to form a bounded curve.

Step-by-step explanation:

hope it will help :)

Ellipse.

In mathematics, the ellipse is a plane curve, proportional to a closed oval shape. In particular, the ellipse is a curve that encloses two points in such a way that, for each point on the curve, the sum of the two distances from that point to the two points is constant.  

From the perspective of solid shapes, the ellipses can be thought of as a conical section created when a plane intersects the surface of a cone in such a way that it creates a closed curve.

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Responder:

x=6

espero haber ayudado

Answer:

The three in the first number, 265,413 has the three in the ones place.

The three in the second number, 4.3 has the three in the tenths place.

So, the value of the three in the first number is ten times greater than the one in the second number.

Answer:

Option b (28 + 63)

Step-by-step explanation:

7(4+9)

7(13)

7×13= 91

28 + 63 = 91

Both give the same answer

Answer:

The sum 28 + 63 can be expressed as 7 ( 4 + 9 )

Step-by-step explanation:

To solve the problem you need to be aware of the distributive property of multiplication.  This property simply says that a multiple of a group of addens, aka the sum in the parenthesis, can be multiplied individually and summed.

The 7 infront of the parenthesis implies the multiplication operation on the grouping of the sum of 4 and 9.

You can rewrite it as such:

7 * ( 4 + 9 )

= 7 * 4 + 7 * 9

= 28 + 63

Note, how we simply used the multiplier 7 distributed to each term within the parenthesis to create our desired sum.

Cheers.

Step-by-step explanation:

By using exactly four 4s it is possible to write a few numbers: at least from 0 - 30.

=> For example, using exactly four 4s, we can write 1 as follows

1 = 44 / 44

The right hand side of the above equation has exactly four 4s and solving it will give 1.

=>Using exactly four 4s, we can write 2 as follows;

2 = (4/4) + (4/4)

Also, there are exactly four 4s in the right hand side of the above equation and solving it gives 2

=> Using exactly four 4s, we can also write 6 as follows;

6 = 4 x .4 + 4.4

The above equation also contains exactly four 4s which will give 6 when solved. i.e

(4 x .4) + 4.4 = (4 x 0.4) + 4.4 = 6

The expressions for numbers 1 through 10 using exactly four 4s have been tabulated and shown in the image attached to this response.

Answer:

$109,9455

Step-by-step explanation:

8x5.25=42

452,97/100=4,5297

4,5297x15=67,9455

42+67,9455=109,9455

Answer:

$109.95

Step-by-step explanation:

rate = $5.25 per hour + tips

tips = 15% of the food sold during 8 hours shift.

Mary Watson will get:

$5.25 x 8 hours = $42

tips = 0.15 x $452.97 = $67.95

a total  of $42 + $67.95 = $109.95

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

38, 50, 50, 55, 55, 95, 95, 130, 180, 213, 250, 350, 450, 1750, 3000

The range :

(maximum - minimum) = (3000 - 38) = 2962

Variance :

Σ(x - mean)² / (n-1)

Where n = number of observations

Mean = (38+50+50+55+55+95+95+130+180+213+250+350+450+1750+3000) = 6761 / 15 = $450.73

Σ(x - mean)² = 9527804.9333334

N - 1 = 15 - 1 = 14

Hence,

Variance = Σ(x - mean)² / (n-1)

Variance = 9527804.9333334 / 14

Variance = $680557.50

Standard deviation = √variance

Standard deviation = √680557.50

Standard deviation = $824.96

CHECK IF OUTLIERS EXIST:

Using the outlier formula:

Lower outlier = Q1 - (1.5 × IQR)

Upper outlier = Q3 + (1.5 × IQR)

Q1 = 55 ; Q3 = 350 ; IQR = 295

Lower outlier = 55 - (1.5 × 295) = - 387.5

Upper outlier = 350 + (1.5 × 295) = 792.5

Remove values below the lower outlier value and values above the upper outlier value.

Hence outliers in the data are : 1750 and 3000

To save computation time :

We can recalculate our statistical measure by leaving out the outliers using online, excel or calculator functions :

Data without outlier :

38, 50, 50, 55, 55, 95, 95, 130, 180, 213, 250, 350, 450

Range = (450 - 38) = 412

Variance = Σ(x - mean)² / (n-1)

Variance = 201626.77 / 12

Variance = $16,802.23

Standard deviation:

√variance

√16,802.23

= $129.62341

According to the results obtained the presence of outliers has a great effect on the outcome the result.

Answer:

The Domain of the function is the set of ALL Real numbers

Step-by-step explanation:

To find the Domain of a function, one has to examine if there are any mathematical restrictions in the function's expression that could reduce the set of Real numbers to be used in estimating all the possible function's outputs.

Typical examples are:

1) There are x-variables in the denominator of the function (you must consider then which values of x could render a zero in the denominator and therefore make it undefined)

2) the variable x appears inside an even root (like a square root), then you have to consider which values of x are not allowed if they render a negative value inside the root

3) if x appears inside logarithmic expressions (you need to exclude from the domain those x-values that render negative the expression inside the logarithm)

Another important rule to remember,is that all polynomial functions (like the one given in this case) always have for Domain the full number line (all Real numbers) because any Real number used will render another Real number via multiplications, subtractions and additions (which are the operations involved in a polynomial expression)

x = 7.5

y = 1.5

x + y = 9.0  => x = 9 - y

0.50x + 0.20y = 4.05

0.5(9 - y) + 0.2y = 4.05

4.5 - 0.5y + 0.2y = 4.05

4.5 - 4.05 = 0.5y - 0.2y

0.45 = 0.3y

y = 0.45 : 0.3

y = 1.5

x = 9 - 1.5

x = 7.5

Answer:

Leg ED is adjacent to theta

Answer:

k=21

Step-by-step explanation:

Find the slope of MN which is 1/5 (use the slope formula)

Use the slope formula for AB using k as y_2

Substitute and you get k=21

21-2.25/-2.25-1.5=-5

The lines are perpendicular because the slopes are the negative reciprocal of one another.

Answer:

  see attached

Step-by-step explanation:

270° CCW is the same as 90° CW. The figure will be moved to the second quadrant. The transformation of coordinates is ...

  (x, y) ⇒ (y, -x) . . . . . rotation 270° CCW or 90° CW

For example, A(-5, -3) ⇒ A'(-3, 5).

Answer:

2   =  0

This equation has no solution.

Step-by-step explanation:

A a non-zero constant never equals zero

The rate is 16.1% and the base is the final portion with the rate added on to it.

Chance the percentage into a decimal.

16.1% / 100 = 0.161

Multiply.

454 * 0.161 = 73.094

Add.

454 + 73.094 = 527.094 or 527.09

Therefore, the final base is roughly 527.09

Best of Luck!

Answer:

320p

Step-by-step explanation:

According to the question,

560p = 7 pencils

Therefore,

1 pencil = 560 / 7

             = 80p

So, for 4 pencils it costs

4 * 80 = 320p

Answer:

easy piizzy lemon squeezyy!!

Step-by-step explanation:

i) 560/7

=80

ii) 80*4

=320

Answer:

The table represents a function because each input corresponds to exactly one output.

Step-by-step explanation:

A table can be regarded as representing a function if and only if every input can only be mapped to exactly one output. In other words, it means, only 1 exact output can be assigned to an input. In a table of function, an input cannot have two different outputs. Although, two different inputs can be assigned to the same output.

From the table given, we see that every input has exactly one output. Although, we have different inputs that gives the same output.

Therefore, we can conclude that the table represents a function because each input corresponds to exactly one output.

Answer: {...-3, -1, 1, 3, 5...}

Step-by-step explanation:

For a point to be discontinuous, the graph doesn't exist at that point. This means, it is represented with an open circle. All we have to do is to list out all the open circles on the graph.

{-3, -1, 1, 3, 5}

Answer:

b. {... –3, –1, 1, 3, ...}

Step-by-step explanation:

so basically it's b. the person above me is right they just added a 5 to the end

Answer:

32 mph

Step-by-step explanation:

We want to find the patrolman's rate in miles per hour during the shift. Since we want to find miles per hour, we must divide the miles he drove by the number of hours.

rate = miles / hours

He drove 272 miles.

rate = 272 miles / hours

He drove for 8 hours and 30 minutes. There are 60 minutes in 1 hour. One half of 60 is 30. Therefore, we can also say he drove eight and a half, or 8.5 hours.

rate= 272 miles / 8.5 hours

rate = 32 miles / hour

rate= 32 mph

His average rate during the shift was 32 miles per hour.

Answer:

32 mph

Step-by-step explanation:

To answer this, find the average rate of change

 272 mi

------------- = 32 mph

 8.5 hr

Answer:1st graph

Step-by-step explanation: did this question already

Answer: First option

Step-by-step explanation:

I did the lesson already

Answer:

-1/6

Step-by-step explanation:

[tex](-6)^-1\\=\frac{-1}{6}^1\\ =\frac{-1}{6}[/tex]

Multiply the hours by how much she makes per hour.

38 * 12 = $456

Therefore, she made $456 last week.

Best of Luck!

Answer:10th term: -27

5th term: - 12

d= -27+12/5

= -3

a+(n-1)d=-12

a+(5–1)d=-12

a+4d= -12

a=-12–4d

a=-12-(4×-3)

a=-12+12=0

18  term=a + (18–1)d

=0+(17×-3)

51

a+9d=-27......(1)

a+4d=-12.....(2)

make a the subject of equation 2 and put into equation 1

-12+4d+9d=-27

-12+13d=-27

d=-15\13

put d into equation 1

a+9(-15/13)=-27

a=16.6

a+17d=x

17+16.6(-15/13)

x=-2 is the 18th term

25÷2(16.6+15.6(-15/13)

=-208.4

Answer:

Distance = [tex]\sqrt{113}[/tex]

Step-by-step explanation:

[tex](1, 5) = (x_1,y_1)\\ (-7, -2)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \\d = \sqrt{(-7-1)^2+(-2-5)^2}\\ \\d = \sqrt{(-8)^2+(-7)^2}\\ \\d = \sqrt{64+49}\\ \\d = \sqrt{113} \\\\[/tex]

Answer:[tex]\sqrt{113}[/tex]

Step-by-step explanation:

Distance formula: [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

x1=1     x2=-7     y1=5     y2=-2

----------------------------------------------------------------

 [tex]\sqrt{(-7-1)^2+(-2-5)^2}[/tex]

=[tex]\sqrt{(-8)^2+(-7)^2}[/tex]

=[tex]\sqrt{64+49}[/tex]

=[tex]\sqrt{113}[/tex]

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

7 cm.

Step-by-step explanation:

Area of the 2 bases = total area - area of curved surface

= 408 - 100 = 308cm^2.

So the area of 1 base = 154 cm^2.

If radius of the base  = r:

pi r^2 = 154

r^2 = 154/pi

r =  sqrt (154/pi)

r = 7.0014 cm

Answer:

5 units

Step-by-step explanation:

Notice that the x-coordinate is the same for both points, but that the y-coordinates differ by five units.  The distance between these two points is therefore 5 units.

Answer:

Step-by-step explanation:

(1-4)/(2+3)= -3/5 is the slope

y - 4 = -3/5(x + 3)

the solution is F