A line passes through the point (2,-5) and is perpendicular to the line with the
equation y = 1/5x+ 5. What's the equation of the line?
OA) y= -1/5x+1
B) y=1/5x+4
C) y = 5x - 2
OD) y = -5x + 5

Answer:

Mekala Jumble has 4 techno songs, 2 country songs, and3 jazz songs on it.

Ratio of techno songs,to country songs,to jazz songs= 4: 2 : 3

Whatever be total  number of songs, let the number of techno songs, country songs,and jazz songs be  4 x,  2 x, and  3 x.

Total number of songs that Mekala plans to Listen = 2 70

Then , 4 x + 2 x + 3 x= 270

9 x = 270

Dividing both sides by 9, we get

x = 30

So, Number of techno songs = 4 × 30= 120

Number of techno songs = 2 × 30= 60

Number of jazz songs = 3 × 30= 90

Option (b) b) Close to 60 country songs but probably not exactly 60 country songs  ,is true option regarding number of songs listen by Mekala.

Step-by-step explanation:

Answer:

your answer is -2

Step-by-step explanation:

Hope helps

:3

Answer:

Median #1: 10.5

Q1 #1: 5.5

Q3 #1: 19

IQR #1: 13.5

Median #2: 14

Q1 #2: 3

Q3 #2: 45

IQR #2: 42

Step-by-step explanation:

Question 1:

First order the data so that they are in order from least to greatest:

2, 5, 6, 8, 13, 16, 22, 24

Now, find the median by crossing out one value on the left and one value on the right until you get to the center value.

2, 5, 6, 8, 13, 16, 22, 24

/2/, /5/, /6/, /8/, /13/, /16/, /22/, /24/

In this case, there were four values crossed off of each side, so you'll need to find the average of the final two crossed out values: 8 and 13.

(8+13)/2 = 10.5

To find the first quartile, find the median of all values below the median.

2, 5, 6, 8

/2/, /5/, /6/, /8/

The median of these values is the average of the center two, so

(5+6)/2 = 5.5

The third quartile is the median of all values above the median.

13, 16, 22, 24

/13/, /16/, /22/, /24/

The median of those values is the average of the center two as well, so

(16 + 22)/2 = 19

The IQR can be found by subtracting Q1 from Q3. (IQR = Q3 - Q1)

Q3 - Q1

19 - 5.5

IQR = 13.5

Question 2:

Arrange the values from least to greatest and cross them out until you find the middle falue, like in problem one.

1, 3, 7, 14, 21, 45, 63

/1/, /3/, /7/, 14, /21/, /45/, /63/

The center value is 14, so the median is 14.

The first quartile can be found by finding the median of all values below the median.

1, 3, 7

/1/, 3, /7/

The first quartile is 3.

The third quartile can be found by finding the median of all values above the median.

21, 45, 63

/21/, 45, /63/

The third quartile is 45.

The interquartile range can be found using the equation from above.

Q3 - Q1

45 - 3

The interquartile range is 42.

Answer:

229

Step-by-step explanation:

All the angles of a 4 sided shape add up to 360 degrees.

So if you add 99 and 32 together, then subtract the answer from 360, you get 229.

Answer:

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}[/tex]

Step-by-step explanation:

Given

[tex]\cos(\theta) = -\frac{2}{3}[/tex]

[tex]\theta \to[/tex] Quadrant III

Required

Determine [tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta)[/tex]

We have:

[tex]\cos(\theta) = -\frac{2}{3}[/tex]

We know that:

[tex]\sin^2(\theta) + \cos^2(\theta) = 1[/tex]

This gives:

[tex]\sin^2(\theta) + (-\frac{2}{3})^2 = 1[/tex]

[tex]\sin^2(\theta) + (\frac{4}{9}) = 1[/tex]

Collect like terms

[tex]\sin^2(\theta) = 1 - \frac{4}{9}[/tex]

Take LCM and solve

[tex]\sin^2(\theta) = \frac{9 -4}{9}[/tex]

[tex]\sin^2(\theta) = \frac{5}{9}[/tex]

Take the square roots of both sides

[tex]\sin(\theta) = \±\frac{\sqrt 5}{3}[/tex]

Sin is negative in quadrant III. So:

[tex]\sin(\theta) = -\frac{\sqrt 5}{3}[/tex]

Calculate [tex]\csc(\theta)[/tex]

[tex]\csc(\theta) = \frac{1}{\sin(\theta)}[/tex]

We have: [tex]\sin(\theta) = -\frac{\sqrt 5}{3}[/tex]

So:

[tex]\csc(\theta) = \frac{1}{-\frac{\sqrt 5}{3}}[/tex]

[tex]\csc(\theta) = \frac{-3}{\sqrt 5}[/tex]

Rationalize

[tex]\csc(\theta) = \frac{-3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}[/tex]

[tex]\csc(\theta) = \frac{-3\sqrt 5}{5}[/tex]

So, we have:

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta)[/tex]

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \tan(\theta) \cdot \frac{1}{\tan(\theta)} + \csc(\theta)[/tex]

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 + \csc(\theta)[/tex]

Substitute: [tex]\csc(\theta) = \frac{-3\sqrt 5}{5}[/tex]

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 -\frac{3\sqrt 5}{5}[/tex]

Take LCM

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}[/tex]

Answer:

here is your correct answer dude

Answer:

I Think B.

Step-by-step explanation:

Im Not But CARRY ON LEARNING

Answer:

the question is incomplete for the answer fam

Step-by-step explanation:

the question is incomplete

Answer:

c. it is not a solution to either equation

Step-by-step explanation:

let me know if this is incorrect

Answer:

7.07 i believe since 10 divided by 2 sqr root is 7.07, and AC and CA are equal

Step-by-step explanation:

Step-by-step explanation:

for AC

[tex]sin(45) = \frac{x}{10} [/tex]

rearrange and solve for x

[tex]10sin(45) = x[/tex]

then do the same process with BA

Answer:

B)   7 5/10

Step-by-step explanation:

9-2 is 7

7/10 - 2/10 is 5/10

7 + 5/10 = 7 5/10

Answer:

B

Step-by-step explanation:

I think...

Answer:

16.96hrs or 1017.6mins

Step-by-step explanation:

24 / 8 = 4.8

212 x 4.8 = 1017.6 mins

16.96 hours

Answer:

The third one

Step-by-step explanation:

x-5y=6

x-5y+5y=6+5y

x=5y+6

Answer:

20

Step-by-step explanation:

( x − 2 ) 2 − 16 Set y equal to the new right side. y = ( x − 2 ) 2 − 16 Use the vertex form, y = a ( x − h ) 2 + k , to determine the values of a , h , and k . a = 1 h = 2 k = − 16 Find the vertex ( h , k ) . ( 2 , − 16 )

Answer:

19.2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The correct answer would be option (c) such that,

"If a population is The entire school faculty, a sample of the population could be "math teachers"."

We can observe that In options 2 that is subset of  option 1.

In option A, C, D subset clearly can we seen as option 1

and only in option B we can clearly see that 2 is the subset of 1.

Thus, correct answer would be "If a population is The entire school faculty;, a sample of the population could be "math teachers"."

Learn more about sample space here:

brainly.com/question/30206035

#SPJ7

Answer:

24 hours

Step-by-step explanation:

Kristen = 8 hours

Kristen and Courtney = 6 hours

Courtney = x hours

in six hours kirsten can do 6/8 of the job

6/8 = 3/4

So kirsten is going to be doing 3/4 of the job

Courtney is only going to do 1/4 of the job

Number of hours it takes Courtney to do the job

6/x = 1/4

Cross product

6 * 4 = x * 1

24 = x

x = 24 hours

It will take Courtney 24 hours to type a 50-page paper on her own

Answer: B

Step-by-step explanation:

Answer:

downwards

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

• If a > 0 then opens upwards

• If a < 0 then opens downwards

y = - 5x² + 3x - 6 ← is in standard form

with a = - 5 < 0 then graph opens downwards

The probability is 5/11 as a fraction, about 45%, and/or 0.45 as a decimal.

Probability formula: Possible values/ Favorable values

Step 1: add the possible values: 4 + 2 + 1 + 5. This is equal to 12 possible options.

Step 2: Since Alica pulled out a red shirt, there will be 11 possible options (12-1 shirt = 11 possible options)

Step 3: Since we are expecting a blue shirt and there are 5 blue shirts, there is a 5/11 chance. Hope this helps!

Answer:

point B

Step-by-step explanation:

isolate the x to solve for x:

=> x = 1 - [tex]\frac{3}{4}[/tex]

=> x = [tex]\frac{1}{4}[/tex]

point B=> the half of [tex]\frac{1}{2}[/tex] is [tex]\frac{1}{4}[/tex]=> [tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

$19.00

Step-by-step explanation:

She made 52.50.

she had -14.

52.50-14= 38.50

tickets are 9.50

9.50×2= 19.00

hope this helps let me kno if i did somthing wrong!

Answer:

-27/5 or -5 2/5

Step-by-step explanation:

Simplify

1 2/7 to 9/7

-4 1/5 to -21/5

multiply together

(9)(-21)/(7)(5)

-189/35

u can simplify by diving by 5 to get

-27/5

Answer:

z y                                      x

Step-by-step explanation:

i dk

Answer:

X, Z, Y

Step-by-step explanation:

We can use the theorem that "opposite to the smallest angle lies the shortest side."

[tex]180 - 47 - 35 = 98[/tex]

Against the angle with 98 degrees, the biggest angle, lies the longest side, y.

Against the angle with 35 degrees, the smallest angle, lies the shortest side, x.

So, we have the order:

x, z, y

=================================================

Explanation:

The sine ratio involves the opposite side over the hypotenuse

For reference angle E, the opposite side is the unknown vertical side, which we'll call x for now.

The known leg is 99 and the known hypotenuse is 101. We'll use these two bits of info to find x. Apply the pythagorean theorem:

a^2 + b^2 = c^2

x^2 + 99^2 = 101^2

x^2 + 9801 = 10201

x^2 = 10201-9801

x^2 = 400

x = sqrt(400)

x = 20

The missing vertical side of the triangle is 20 units. Now we can apply the sine ratio to find sin(E)

sin(angle) = opposite/hypotenuse

sin(E) = 20/101

This fraction cannot be reduced further. This is because 20 = 2*2*5, and neither 2 nor 5 is a factor of 101.

Answer:

The measure of B would be 60 degrees

Step-by-step explanation:

add me as a friend if i am right

Answer:

40

Step-by-step explanation:

Answer:

c = 277

Step-by-step explanation:

-12(c+22)=-13c+13

Distribute

-12c -264 = -13c+13

Add 13c to each side

-12c-264+13c = -13c+13+13c

c-264=13

Add 264 to each side

c-264+264 =13+264

c = 277

Answer:

277

Step-by-step explanation:

-12(c+22) = -13c+13

-12c-264 = -13c+13

c = 277

Answer:

288

Step-by-step explanation:

32 = 2 × 2 × 2 × 2 × 2

8 = 2 × 2 × 2

18 = 2 × 3 × 3

12 = 2 × 2 × 3

LCM(32, 8, 18, 12)

= 2 × 2 × 2 × 2 × 2 × 3 × 3

= 288