a line passes through (1, - 1) and (3,5) what is the equation of the line in slope-intercept form?

Applying the triangle proportionality theorem, the length of Jk in the diagram given is: 16 units.

The triangle proportionality theorem states that when a side of a triangle is parallel to a line that intersects the other two sides of the triangle, then it divides the two sides of the triangle, proportionately.

Using the triangle proportionality theorem, we have the ratio if JK is x:

x/(36 - x) = (63 - 35)/35

x/(36 - x) = 28/35

35x = 28(36 - x)

35x = 1,008 - 28x

35x + 28x = 1,008

63x = 1,008

x = 16

JK is: 16 units.

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The required probability of not getting all tails is  2037 / 2048.

Given that,
If you flip 11 coins, the probability of not getting all 11 tails is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

The process in mathematics to operate and interpret the function to make function simple or more understandable called simplify and the process is called simplification.

Since each coin has 2 possible outcomes for a single toss i.e either head or tail.

Total number of sample spaces for the 11 coins to be tossed = 2^11 = 2048
The number of favorable outcomes for all tails = 11
Probability of not getting all 11 tails = 1 - probability of all are tails
                                                    = 1 - 11 / 2048
                                                    = 2037 / 2048

Thus, the required probability of not getting all tails is  2037 / 2048.

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Answer:

  g(x) = log(x+1) +4

Step-by-step explanation:

The transformation ...

  g(x) = f(x -h) +k

translates the graph of f(x) to the right h units and up k units.

__

Your graph shows g(x) is a translation of f(x) to the left 1 unit and up 4 units. That means the graph of g(x) can be described by ...

  g(x) = f(x -(-1)) +4

  g(x) = log(x+1) +4

_____

Additional comment

The vertical asymptote of f(x) at x=0 provides an identifiable feature for assessing the amount of horizontal shift. The vertical asymptote at x=-1 for g(x) means there was a left shift of 1 unit.

One unit to the right of the vertical asymptote, the graph of f(x) has an x-intercept (y=0). On the graph of g(x), one unit to the right of the vertical asymptote, the graph shows a value of y=4. This suggests an upward shift of 4 units.

We observe that the graph of g(x) generally matches the shape of the graph of f(x), so there is likely no horizontal or vertical scaling. A horizontal expansion factor of 'a' and a vertical expansion factor of 'b' would modify the function to ...

  g(x) = b·f(x/a)

Answer:

-74

Step-by-step explanation:

3(1-2) + (-71)

3(-1) - 71

-3 -71

-74

Answer:

8={8,16,24,32,40}

6={6,12,18,24,33}

so the least common multiple is 24

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{What are the least common multiples of 6 and 8?}[/tex]

[tex]\large\textsf{Well, first lets find the multiples of both of the numbers \& see}\\\large\textsf{what we could find.}[/tex]

[tex]\huge\textbf{The MULTIPLES of 6}\\\bullet\large\text{ 6, 12, 18,24, 30, and 36}[/tex]

[tex]\huge\textbf{The MULTIPLES of 8}\\\bullet\large\text{ 8, 16, 24, 32, and 40}[/tex]

[tex]\large\textsf{Each of the numbers listed above shared ONE number \& it is 24}[/tex]

[tex]\huge\text{Answer: \boxed{\mathsf{\bold{L}owest \ \bold{C}ommon \ \bold{M}ultiple: 24}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

91

Step-by-step explanation:

due to PEMDAS, exponents first ('to the power of _')

since 3^4 is 3 * 3 * 3 * 3

3 * 3 = 9

9 * 3 = 27

27 * 3 = 81

therefore

3^4 = 81

then mutliplication (*)

2 * 5 = 10

then addition (+)

81 + 10 = 91

your answer is 91

hope this helps:)

Answer:

The Answer is 91

Step-by-step explanation:

I hope this helps Have a great day!!!!!

Answer:

A) most poultry hot dog brands have fewer calories than most beef and meat hot dogs, but a few poultry hot dogs have more calories than the median beef and meat hot dog

Step-by-step explanation:

i will refer to the first option as A) and so on

A)

the top of the poultry box represents the 75th percentile, so 75% of poultry values are at or below that number. this is lower than the median for both beef and meat (the middle lines in their respective boxes). if a value is lower than the median, that means that most values in the boxplot in question are higher than that value. here, this means that since the 75th percentile of poultry is less than the 50th percentile of beef/meat, most poultry hot dog brands have fewer calories than most beef and meat hot dogs

since the top line of the poultry chart extends past the mean of the beef/meat hot dogs, there are some poultry hot dogs that have higher calories than the mean for beef/meat

thus, this is the answer

B)

although it is true than some are high and some are low, we can see a general trend that beef and meat are higher than poultry, so this is wrong

C) since the 75th percentile for poultry is less than the median for beef/meet, we can say that >75% of poultry hot dog brands have fewer calories than the median for beef/meat. this is not "about half" so this is wrong

D) since the top of the poultry line extends past the mean for beef/meat, this is wrong

E) box plots do not give mean so this is wrong

The total number of students is 470.

The probability that a randomly chosen student will by lunch between 10 and 20 times in a month is 0.26.

A histogram is used to represent data graphically. the histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.

The total number of students = 140 + 120 + 80 + 40 + 30 + 60 = 470

The probability that a randomly chosen student will by lunch between 10 and 20 times in a month = number of students between 10 and 20 times / total number of students

(80 + 40) / 470 = 0.26

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Answer:

B. 1 3/8

or

The second one

Step-by-step explanation:

4 1/8 ÷ 3 = 1.375 = 1 3/8

hope this helps

have a good day

Answer:  D

Step-by-step explanation:

Step-by-step explanation:

The side measures of choices A and C do not form a triangle of any sort.

The angle measures of choice B mean the remaining angle is ...

 180° -110° -35° = 35°

Two of the angles are the same measure, so the triangle will be isosceles, not scalene. No scalene triangle can be formed with those angle measures.

__

The angle measures of choice D mean the remaining angle is ...

 180° -20° -80° = 80°

Two of the angles are the same measure, so an isosceles triangle can be formed as described in choice D.

Answer:

-7d-b

Step-by-step explanation:

Step-by-step explanation:

there is nothing "following" here.

however, if I understand correctly, we need a 15% increase to 60 kV.

100% = 60 kV

1% = 100%/100 = 60/100 = 0.6 kV

15% = 1% × 15 = 0.6 × 15 = 9 kV

so, adding these 15% gives us

60 + 9 = 69 kV.

once we understand this mechanism, we can also use the shortcut : to add x% to something, we need to multiply this something by 1.x.

in our case, we want to increase 60kV by 15% ?

the result is

60 × 1.15 = 69 kV

simply because (as the top part should have shown too) x% of the whole = x/100 × whole.

so, to add x% means to have

100/100 × whole + x/100 × whole = 1.x × whole

Answer:

3

Step-by-step explanation:

Substitute -1 for x in your equation. You should be left with 1+1+1 which equals 3.

Answer:

40%

Step-by-step explanation:

16/40 × 100 = 40%

16 divided by 40 multiplied by 100 will give you your answer which is 40

Answer:

3 option

Step-by-step explanation:

Interquartile range for both of them spans 12 years

 22-34     and   36-48    are both 12 year ranges

Answer:

Check explanation!

Step-by-step explanation:

Same as last,

Start at (0,2) this shall be your y-intercept.

Then go up 3 which is commonly known as rise 3

Lastly, go over to the right 4.

Your coordinate is (4,5)

Connect line then you're done!!

Answer:

3.67 ÷ 100 = 0.0367

Step-by-step explanation:

Answer:

3.67

Step-by-step explanation:

3.67 as a decimal is 3.67

Another way you could find this is by converting it into a fraction.

That would be 3 and 67 / 100

Which is also 3.67

(the answer is on the picture. is this correct?) ^^'

Using the graph of the scenario, the edge of the kiosk is 20 feet far from the entrance.

The y value is given as:

y = 24

From the graph of this question (see attachment), we have the following coordinate

(x,y) = (20,24)

This means that the edge of the kiosk is 20 feet far from the entrance.

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Using the percentile concept, it is found that 10 students scored lower than he did.

When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.

In this problem, he scored on the 20th percentile, that is, higher than 20% of the 50 students. Then:

0.2 x 50 = 10.

10 students scored lower than he did.

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Answer:

4,7 times 6

i think

Step-by-step explanation:

Answer:

132.54

Step-by-step explanation:

1) Calculate the surface area of the first face. Since it is a cube, all side lengths are equal, and therefore you would square 4.7 and get 22.09.

2) Multiply this by the number of faces. Cubes have 6 faces, so it would be 22.09 x 6 = 132.54.

Answer:

(0, 7)

Step-by-step explanation:

The point that crosses the y-axis is called the y-intercept of the line.

We are given an equation of the line and we need to determine the y-intercept. This can be done by determining the constant in the equation.

What are constants?

Constants are such terms that include only numbers. There should be no variables in constants.

We know that:

     [tex]\bullet \ \text{Given equation of line: y = 5x + 7}[/tex]

The constant we can see in the equation is "7". Therefore, the y-intercept is 7.

Note: The y-intercept of the line must have an x-coordinate of 0.

Therefore,

⇒ Coordinates of y-intercept: (x, y) ==> (0, 7).

Answer:

6 days

Step-by-step explanation:

First, we make common denominators:

3 *2  =  6

_  ->     _

4 *2  =  8

and we get 6/8

6/8 divided by 1/8 will be 6 days

Answer:50% or 1/2

Step-by-step explanation:

[tex]\large\texttt{Answer\::}[/tex]

pls refer to the explanation !

[tex]\large\texttt{Calculations\::}[/tex]

[tex]\textsf{Area of a circle : $A=\pi r^2$}[/tex]

We're asked to use 3.14 for pi , so we'll do just that .

We have the diameter , so we divide it by 2 to find the radius (remember , the radius is 1/2 of the diameter).

Plug in :

A=3.14*(7)²

A=3.14*49

Multiply :

A=153.86 inches²

[tex]\footnotesize\texttt{hope\:helpful~}[/tex]

Answer:

Step-by-step explanation:

Given:

Use the area of the circle formula.

AREA OF THE CIRCLE FORMULA:

[tex]\Longrightarrow: \sf{A=\pi r^2}[/tex]

[tex]\Longrightarrow: \sf{\pi =3.14}[/tex]

[tex]\Longrightarrow: \sf{r=\dfrac{14}{2}=7}[/tex]

[tex]\Longrightarrow: \sf{3.14*7^2}[/tex]

Use the order of operations.

PEMDAS stands for:

BODMAS stands for:

[tex]\sf{3.14*7^2}[/tex]

First, solve exponents.

[tex]\Longrightarrow: \sf{7^2=7*7=49}[/tex]

[tex]\Longrightarrow: \sf{3.14*49}[/tex]

Then, multiply.

[tex]\sf{3.14*49=\boxed{\sf{153.86}}[/tex]

Solutions:

[tex]\Longrightarrow: \boxed{\sf{153.86\ in^2}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

The answer is A

Step-by-step explanation:

When the economy increases that makes more money for that state so it won't go down I hope this helps <3