What is the image of the point (2,8) after a rotation of 270° counterclockwise about
the origin?

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that [tex]a = 0.95, b = 1.05[/tex]

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

[tex]P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5[/tex]

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

[tex]P(X > x) = 0.9[/tex]

So

[tex]\frac{1.05 - x}{1.05 - 0.95} = 0.9[/tex]

[tex]1.05 - x = 0.9*0.1[/tex]

[tex]x = 1.05 - 0.9*0.1[/tex]

[tex]x = 0.96[/tex]

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Answer:

It's a, 2^x + 3

Step-by-step explanation:

If you look at the y-intercept, you can see that there was a vertical shift upwards by 3 (y intercept moved from y = 1 to y = 4).

If you're studying for the SAT, it'll be good to study the transformation rules, including horizontal stretches/shifts. They always seem to throw one or two questions about those on there.

Answer:

36/81 x 10/50 is 29/45. Since 29 is a prime number and 45 is not divisible by 29, 29/45 would be the simplest form.

Hope this helps! Brainliest?

Answer:

no, exponents are how many times the base is used, it would be 2x2x2... so on until there are 28 2s

Step-by-step explanation:

Answer:

A is the correct answer

Answer:

B

Step-by-step explanation:

The first number should represent the lawns, and the second should represent the money he makes on each lawn.

A is incorrect because the numbers are swapped; Ryan does not earn one dollar for mowing 20 lawns.

C is wrong because if Ryan mows zero lawns, how can he make money. Although the multiplication is correct, it does not start at zero.

D is wrong because it is counting the price up by ten instead of adding 20.

B is right because every lawn is 20 more dollars, and that is what is shown.  

Answer:

137.44 units^3

Step-by-step explanation:

Answer: 9/(1+2)

Hope it helps :)

Answer:

you add and subtract

Step-by-step explanation:

You need to match the sum/difference with the expression

Example -

A. 5x+2x 15x+2y (B)

B. 7x+8x+2y. 7x (A)

That's how you match it

Answer:

2:10 PM

Step-by-step explanation:

5+35+15=55 mins

1:15+55 mins=2:10PM

Answer:

I hope some of these help (examples)

Step-by-step explanation:

Line AB contains points A (1, 2) and B (−2, 6) The slope of line AB is

a)zero

b)undefined

c)positive

d)negative

The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?

Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is

Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are

The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).

The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).

Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are

parallel because the product of the slopes is −1

perpendicular because the product of the slopes is −1

parallel because the slopes are the same

perpendicular because the slopes are the same

Question 2

(06.02 LC)

The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?

1 over 2

2

negative 1 over 2

−2

Question 3

(06.02 LC)

Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is

zero

undefined

positive

negative

Question 4

(06.02 MC)

The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).

y = 2x + 16

y = negative 1 over 2x + 17 over 2

y = − 1 over 2x + 7 over 2

y = 2x − 4

Question 5

(06.02 MC)

The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).

y = −2x + 13

y = negative 1 over 2x + 7

y = 1 over 2x + 3

y = − 2x − 3

On the first question, the formula would be  m=\frac{y2-y1}{x2-x1} and the value we got is -4/3, so D.

On the second quesiton, the slope in the given equation of the line is -2, its negative reciprocal is 1/2, so A.

On the third question, use the slope formula above and the value you would get is zero, so A.

On the fourth question, the equation of the line perpendicular to line QR is y=2x+b, to find b, just substitute the point (5,6) to the equation. That would make b = -4. the final equation of the line would be: y=2x-4, so D.

On the fifth question, the equation of the line parallel to line QR is y = -2x + b. substitute the point (4,5) to the equation, and you'll get b = 13. the final equation of the line would be y=-2x+13, so A.

D,A,A,D,A

1) Determine the slope of the line that is perpendicular to the equation below.

y = -3x + 4

Type your answer as a reduced fraction, if necessary, like this: 3/4

2) Which line is parallel to the line with this equation?

3x – 4y = 24

A) 8y-6x=32

B) 3x-5y=25

C) y=-3/4x -6

D) y+3 = 3(x-4)

3) Determine which equation is in slope-intercept form for the line that passes through (5, 0) and is perpendicular to the line below.

y = -5/2x + 6

A) y=-2/5x - 2

B) y=5/2x+2

C) y=5/2x-2

D) y=2/5x-2

4) Line 1 contains the points (6, -5) and (2, 7). Which of the given pairs of coordinates could be contained by Line 2 if Line 1 is parallel to Line 2?

HINT: Remember that two parallel lines share NO points.

A) (2,7) and (11,10)

B) (6,-5) and (-1, 3)

C) (9,8) and (6, 9)

D) (5,6) and (9, -6)

5) What value should replace the "?" to make the equations parallel?

Type your answer as a reduced fraction, using the "/" symbol to separate the numerator and denominator, like this: 2/5

y=5/3 x - 8

y=? x + 9

6)Determine whether the pair of lines is parallel, perpendicular, or neither.

y = 7x and y – 28 = 7(x – 4)

A) parallel

B) perpendicular

C) Neither

1) m=-2

2) C) y=-3/4x -6

3) D) y=2/5x-2

I hope this helps:)

Answer:

When t = 3, y = 12.  y = 4t, for t>0

Step-by-step explanation:

8 = 4 x 2; y = 4 x 3 = 12.

Answer:

The quartile 3 is 0.3

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

X~Exp (0.2)

This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]

Find the quartile 3.

The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]

Since

[tex]P(X > x) = e^{-\mu x}[/tex]

[tex]e^{-5x} = 0.25[/tex]

[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]

[tex]-5x = \ln{0.25}[/tex]

[tex]x = -\frac{\ln{0.25}}{5}[/tex]

[tex]x = 0.277[/tex]

Rounding to the nearest tenth, the quartile 3 is 0.3.

Answer:

it is A.2/3

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

3^16 = (1/9)^x

9^18 = 9^-x

On comparing co-efficients :

-x = 9

x = -9

Answer:its library to police station

Step-by-step explanation:

Answer:

Let me know if there is anything you don't get

∠3 = 102 because ∠1 and ∠3 are supplementary and 102 + 78 = 180

∠4 = 102 because ∠1 and ∠4 are consecutive interior angles

∠5 = 78 because ∠1 and ∠5 are corresponding angles

∠6 = 133 because ∠2 and ∠6 are supplementary angles

∠7 = 47 because ∠2 and ∠7 are vertical angles

∠8 = 47 because ∠2 and ∠8 are opposite interior angles

∠9 = 133 because ∠8 and ∠9 are supplementary, and we just saw ∠2=∠8

∠10 = 102 because ∠1 and ∠10 are supplementary

You could have used a whole bunch of different relations, but I wanted to focus on ∠1 and ∠2 since those were told to us

Step-by-step explanation:

For this question you need to know several parts of geometry.  Let me know if anything doesn't make sense.

First, parallel lines are two or more lines which are angles in such a way that no matter how long they are they will not cross.  In other words they are slanted at the same angle.  you can see this with lines a and b in this picture.

Second, a transversal is a line that crosses through two or more parallel lines.  A transversal creates a number of angles that have special properties.  I would like you to look specifically at line c as I describe these angles.  line c is a transversal to Ines a and b.  Also line d is also a transversal.

There are seven special angles to know.

The easiest is supplementary angles.  This you don't need parallel lines, but if any two lines ever cross this creates 4 angles.  you can actually look at where lines c and b intersect in your problem.  Angles 2. 6 and 7 are labeled but there is one more unlabeled one.  Now, 180 degrees is a straight line.  With angles you can see angles 6 and 7 add together to be a straight line.  Similarly 2 and 6 do as well.  These are two sets of supplementary angles.  

To list off the supplementary angles here 9 and 8 are supplementary, as are  2 and 6, 6 and 7, 1 and 3, 1 and 10, and finally 4 and 5.

From supplementary angles comes vertical angles.  Again, if you look at angles 2, 6 and 7 we already know ∠2 + ∠6 = 180 and ∠6 + ∠7 = 180.  Well lets say ∠6 = 133.  Well then, we could use algebra to see that both ∠2 AND ∠7 are 47 degrees.  This is the property of vertical angles.  if you have two lines intersecting, any two angles that have a third in between the are called vertical angles, and are equal.

some examples of vertical angles are ∠2 and ∠7as well as ∠3 and ∠10,  

Finally we go into parallel line specific angles.  If you have two or more parallel lines with a transversal, so in particular look at a and b as the parallel lines and c as the transversal.  The transversal creates some special angles.  in particular, the transversal crosses a and b at the same angle, so angles 8 and 7 have the same value.  These are known as corresponding angles, since they correspond tot he same position with a transversal crossing through parallel lines.  

the corresponding angles in the picture are ∠8 and ∠7, ∠3 and ∠4 and finally ∠1 and ∠5.  the last two using line d as a transversal.

After corresponding angles opposite interior angles I think are the next logically to look at.  Opposite means they are on two different parallel lines and on different sides of the transversal, while interior means they are between the parallel lines.  so if you look at the parallel lines a and b there are angles 8 and 2 that are interior angles.  Since 8 is against line a and 2 is against line b, and ∠8 is above transversal c while ∠2 is below it, they are opposite angles.  so 8 and 2 are opposite interior angles.  Now, if you look at ∠8 and ∠7 you know these are corresponding angles, then ∠7 and ∠2 are vertical angles.  This means opposite interior angles are equal.

A list of opposite interior angles are ∠8 and ∠2, and ∠10 and ∠4.

Alongside opposite interior, there are opposite exterior angles.  opposite means on different parallel Ines and on opposite sides of the transversal, while this time exterior means not between the parallel lines.  Now just like we figured with opposite interior angles

The only labeled pair of opposite exterior angles are ∠9 and ∠6.  Now just like we figured with opposite interior angles, let's start with ∠8 and ∠9, which are supplementary.  then ∠8 and ∠7 are corresponding angles so ∠9 and ∠7 are supplementary.  We can also see ∠7 and ∠6 are supplementary.  well, since ∠9 + ∠7 = 180 = ∠6 + ∠7 then ∠9 = 180 - ∠7 = ∠6 so ∠9 = ∠6.  This shows opposite exterior angles are  equal.

So we did two kinds of opposite angles, it might make sense there are non opposite angles.  And there are.  these are called consecutive angles.  There are consecutive exterior and consecutive interior angles.  An example of each are ∠1 and ∠4 for consecutive interior, consecutive because they are on the same side of the transversal, and interior because they are between the two parallel lines.  ∠3 and ∠5 are consecutive exterior angles.

You can use similar reasoning we have been so far to conclude all consecutive angles are supplementary

Answer:

20

Step-by-step explanation:

Hello There!

So first we need to determine what the formula for area of a trapezoid is

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

the given information is the area and the two bases

so we plug in the given information and solve for h

[tex]180=\frac{4+14}{2} h\\4+14=18\\\frac{18}{2} =9\\180=9h[/tex]

divide each side by 9

[tex]\frac{180}{9} =20\\\frac{9h}{9} =h[/tex]

we're left with

h=20

so we can conclude that the height is 20

Answer:

I'm sorry i cant help you rn, download symbolab or math solver, I'm sure you will find your answer g

Answer:

I believe it's A=5 times 9 but since the triangle is special (3-4-5), it could be 12 times 5. Hope this kinda help :)

12 13 15 15 15 16 19

mean: 15

median: 15

mode: 15

range: 7

Answer:

12, 13, 15, 15, 15, 16, 19

Step-by-step explanation:

Mean: 15

Median: 15

Mode: 15

Range: 7

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are to rank the options given in the question to correctly prove the theorem that: "If A & B are set, and A is a subset of B"

To arrange the steps in the correct order, we have:

(a) Assume that B is countable

(b) The elements of B can be listed as b1, b2, b3

(c) Since A is a subset of B, taking the subsequence of {bn} that contains the terms that are in A gives a listing of the elements of A.

(d) Therefore A is countable, contradicting the hypothesis.

(e)  Thus B is not countable

Answer:

15

Step-by-step explanation:

x=2,z=6

2+6(4)-5-3(2)

2+24-5-6

26-11

15

x = 2 & z = 3x

Answer:

560/9 or around 63 cubes

Step-by-step explanation:

2 2/3 -> 8/3

3 1/3 -> 10/3

2 1/3-> 7/3

7/3 x 8/3= 56/9

56/9 x 10/3 = 560/27

560/27 divided by 1/3

= 560/9

Answer:

6

Step-by-step explanation:

-3 x (8 + [-10]) =

-3 x (8 - 10) =

-3 x -2 =

6

HOpe that helps!

Answer: 6

Step-by-step explanation:

finding the answer from an equation

replace the values of x and a in the equation:

(-3) * ( 8 + -10)

= (-3) * (-2)

recall :

(-) * (-) = +

hence -3 * -2

= 6

Hope this helps. Can u pls give me brainliest

Answer:

$575

Step-by-step explanation

1150/2 = 575

Answer:

$1150

Step-by-step explanation:

because it is a buy one (for sale price), get one free

Answer:

Step-by-step explanation:

according to the question

[tex] \begin{cases}x + 29 = 7x + 5 \\ 8y - 35 =3y \end{cases}[/tex]

[tex] \begin{cases}x -7x= 5-29 \\ 8y - 3y=35 \end{cases}[/tex]

[tex] \begin{cases}-6x= -24\\ 5y=35 \end{cases}[/tex]

[tex] \begin{cases}\frac{-6x}{-6}=\frac{-24}{-6} \\ \frac{5y}{5}=\frac{35}{5} \end{cases}[/tex]

[tex] \therefore \begin{cases} x=4\\ y=7 \end{cases}[/tex]

Answer:

9-3m

Step-by-step explanation:

m and -4m are like terms, combining them yields (1m-4m) which is -3m. The 9 is a constant.