What is the equation of the line represented by the table below?
Х
-2
-1
0
1
2
y
16
11
6
1
-4
O A. y = -5x+9
B. y = -3x - 5
O C. y = -5x + 3
D. y = -5x + 6

Step-by-step explanation:

This is true statement.

have a great day

Answer:

-32x-60y+1122=0

-(32x+60y-1122)=0

32x+60y-1122=0

by factorize

Answer:

24,30

Step-by-step explanation:

Answer:

volume=pi times r^2 height÷3.

r is the radius, or in this case 4yd. height is 10yd. pi is 3.14

Here are the steps:

3.14r^2 height÷3

3.14×4^2 10÷3

=167.55

final answer rounded to the nearest tenth: 167.6

I apologize for getting the math wrong the first time. My formula was correct, but I needed to double check my calculations. I'm certain this is the right answer.

Distance cycled on Monday = p km

Distance cycled of Tuesday

= 8 km less than the distance cycled on Monday

= p km - 8 km

= (p - 8) km

So, distance cycled of Tuesday is (p - 8) km.

Answer:

$3072

Step-by-step explanation:

It is given that :

I work for 4 hours everyday, working 2 days a week.

And in 1 hour , I get $8.

Therefore,

1 hour = $8

4 hours = 4 x  8

             = $32

So, in 1 day working for 4 hours, I get $32.

∴ Working 2 days = 32 x 2

                              = $64

In 1 month, there are 4 weeks

So, in 4 weeks (or 1 month), I work for = 4 x 2

                                                               =  8 days

Therefore, in 8 days, I get = 8 x 32

                                            = $256

Now there are 12 months in a year.

So, in 12 months , I will get = 12 x 256

                                            = $3072

Therefore, in 1 year , I will get $3072.

Answer:

829.6

Step-by-step explanation:

Volume = sh

= (5+12) x 6.1 / 2 x 16

= 12 x 6.1/2 x 16

= 17 x 6.1 x 8

= 829.6 mi^3

Answered by Gauthmath

Answer:

Mala had 14 sweets at the start.

Step-by-step explanation:

7 x 2 = 14

To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)

Answer:

x - 3y = 24

B. y = -3x - 1

Step-by-step explanation:

Hope it helped.

° ° °

Answer:

75 degrees maybe.......

Answer:

75 degrees

Step-by-step explanation:

the external angle is between the outside of one of the sides of the angle and the continued line of the second side of the angle.

and because it is measured against a line, where we have a total of 180 degrees for angles, we have

exterior angle = 180 - interval angle = 180-105 = 75

Answer:

44 +14i

Step-by-step explanation:

(5 + i)(9 + i)

FOIL

first 5*9 = 45

inner: 9i

outer :5i

last: i*i = i^2 = -1

Add togheter

45 + 9i+5i -1

Combine like terms

44 +14i

Answer:

56 degrees

Step-by-step explanation:

1. Notice how g is part of a right angle, which equals 90 degrees.

2. Notice how the 34 degree angle on the other side is also part of a 90 angle.

3. Notice how the 2 right angles are vertical to each other, meaning they are the same.

4. Subtract 34 from 90.

5. g=56 degrees

Hope this helps!

-Stella

I think it would be 90 degrees. The g marking looks like it's taking up 2 angles. One of the angles is 34 degrees, because it's opposite to the one marked. Together they look like they form a 90 degree angle.

*It's kind of of hard to see if g is referring to both angle degrees or not.

Answer:

[tex]x-6[/tex]

Step-by-step explanation:

We can let the 'number' in the expression be equal to [tex]x[/tex]. Something 6 less than x would x minus 6, or [tex]x-6[/tex].

Answer:

x-6

Step-by-step explanation:

Let the number be x

Less than means subtract from

x-6

Answer:

B

Step-by-step explanation:

You need a number that when multiplied by itself 3 times gives you 512. So the length and width of the bottom layer must be 8 by 8 which is 64.

The layers are 8 cm high, so that's the third number you multiply together.

Volume = 8*8*8 = 64

But the answer you want is 8*8 which is 64

Answer:

X = (P^2 - 9) ^ 1/2

Step-by-step explanation:

P^2 = (4 - 1)^2+ (0 -X)^1/2

9514 1404 393

Answer:

  C.  16

Step-by-step explanation:

UV is a diameter of the circle. If it is perpendicular to the chord XS, then it bisects that chord. This means ...

  XT = TS

  3b -1 = b +5

  2b = 6

  b = 3

  TS = b +5 = 8

The chord length is 2·TS = 2·8 = 16 units.

Answer:

C,XS=16

Step-by-step explanation:

3b-1=b+5

3b-b=5+1

2b=6

b=6/2=3

TS=b+5=3+5=8

XS=2 TS=2×8=16

The first pump fills one tank in 2 hours, so it works at a unit rate of (1 tank)/(2 hours) = 0.5 tanks/hour.

The second pump takes 3 hours to fill the same tank, so it works at a rate of (1 tank)/(3 hours) ≈ 0.33 tanks/hour.

Working together, the pumps can fill one tank at a rate of

(1/2 + 1/3) tanks/hour = (3/6 + 2/6) tanks/hour = 5/6 tanks/hour ≈ 0.83 tanks/hour

Then the time it takes both pumps to fill one tank is

(1 tank) / (5/6 tanks/hour) = 6/5 hours = 1.2 hours = 72 minutes

Answer:

d

Step-by-step explanation:

Answer:

option D

Step-by-step explanation:

the formula for slope is: y = mx + b

where m = slope & b = y intercept

so in y = -2x + 1,

m (slope) = -2     &      b (y-int) = (0,1)

Answer:

5x+8

Step-by-step explanation:

First find the product of 5 and a number

5x

Then sum it with 8

5x+8

Answer:

mocha madness = 30 pounds

Step-by-step explanation:

Let

x =  Mocha Madness

y = Sumatra Sweetness

two equations can be derived from the question

x + y = 40 equation 1

12x + 20y = 14 x 40 equation 2

Multiply equation 1 by 12

12x + 12y = 480 eqn 3

subtract eqn 2 from 3

8y = 80

y = 10

substitute for y in equation 1

x + 10 = 40

x = 40 - 10

x = 30

8y = 180

y = 10 pounds

x = 30 pounds

Answer:

100 degrees

Step-by-step explanation:

We can start by finding angle y, which is supplementary to 160.

180-160=20

angle y = 20 degrees.

With that, we can find angle w using the interior-exterior sangle theorem (or whatever name you use for it) which states that "the measure of an exterior angle of a triangle equals the sum of the measures of two remote interior angles". In other words:

angle w = angle y + 80

angle w = 20+80

angle w = 100.

The final answer is 100 degrees.

I hope this helped! :D

Answer:

Hello,

w=100

Step-by-step explanation:

y=180-160 (angles supplementaries)

y=20

w is a externel angle of the triangle is equal to the sum of non adjacents angles:

w=80+20=100

Option C

Corresponding angles along parrellel lines are conguerent.

Answered by Gauthmath must click thanks and mark brainliest

cos(a) = x/r

sin(a) = y/r

tan(a) =  y/x

In the image at the end, you can see a sketch of the situation, we can model this with a triangle rectangle:

The hypotenuse length is equal to r, the adjacent cathetus to the angle is the x-value, and the opposite cathetus to the angle is the y-value.

Now we can remember the trigonometric relations:

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse)

tan(a) = (opposite cathetus)/(adjacent cathetus)

Using what we wrote above, we can rewrite these as:

cos(a) = (adjacent cathetus)/(hypotenuse) = x/r

sin(a) = (opposite cathetus)/(hypotenuse) = y/r

tan(a) = (opposite cathetus)/(adjacent cathetus) = y/x

if you want to learn more about this topic, you can read:

https://brainly.com/question/24297646

Answer:

Here, we see that the slope (m) equals -1.

Step-by-step explanation:

m=Rise/Run

-2/2=-1

Hope it helps:)

Answer:

s=650

Step-by-step explanation:

s=n/2(2a+(n-1)d)

s=20/2[2x4+(20-1)3]

s=20/2(2x4+19x3)

s=20/2(8+57)

s=20/2x65

s=10x65

s=650

Answer:

s=650

Step-by-step explanation:

Sum of 'n' terms formula is given by:-    

s=n/2(2a+(n-1)d)

s=20/2[2x4+(20-1)3]  

s=20/2(2x4+19x3)  

s=20/2(8+57)  

s=20/2x65  

s=10x65  

s=650

Answer:

[tex]accelaration = \frac{change \: in \: veloity}{time} \\ = \frac{15 - 10}{5} \\ = \frac{5}{5} \\ = 1 \frac{m}{ {s}^{ - 2} } [/tex]

Answer: acceleration = 1 m/s²

Concept:

Here, we need to know how to calculate the acceleration of a body.

a = Δv / Δt = (v₂ - v₁) / (t₂ - t₁)

v = velocity

t = time

unit = m/s²

Solve:

Given information

v₁ = 10 m/s

v₂ = 15 m/s

Δt = 5 seconds

Given expression

a = (v₂ - v₁) / (t₂ - t₁)

Substitute values into the expression

a = (15 - 10) / 5

Simplify values in parentheses

a = 5 / 5

Simplify by division

[tex]\boxed{a=1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The answer is

2x^2+1x-45

Answer:

Hello,

10 days

Step-by-step explanation:

60 étudiants dans un foyer ont assez de nourriture pour 30 jours. Si 20 étudiants supplémentaires rejoignent l'auberge après 10 jours, combien de temps durera la nourriture restante ?

Let say A the quantity of food

60 students in a hostel have food enough for 30 days ==> A=k*60*30

==> k=A/1800

Let say x the duration of the food.

60 students for x days + 20 students for (x-10) days =A

[tex]k*60*x+k*20*(x-10)=A\\[/tex]

[tex]\dfrac{A*60*x}{1800} +\dfrac{A*20*(x-10)}{1800} =A\\\\60x+20x-200=1800\\\\80x=1600\\\\x=20\\[/tex]

Duration for the 80 students: 20-10=10days

Answer:

Step-by-step explanation:

Degrees   Radians   tangent

60°      π/3         √3

45°            π/4                     1

30°           π/6                 1/√3

0°            0                   0