What is the slope of the line that contains the points (6,-1) and (2,4)

Answer:

The answer is "[tex]40.2^{\circ}[/tex]"

Step-by-step explanation:

Please find the graph file.

Let

[tex]\angle EGF = x\\\\\sin x = \frac{12}{18.6}\\\\\sin x = 0.6452 \\\\x = \sin^{-1} (0.64516129) \\\\x = 40.1777695^{\circ} \approx 40.2^{\circ}[/tex]

Answer:

70/2

Step-by-step explanation:

We have a population of 200 people

Growth rate = 2%

How long it will take for the population to double

Double the population = 2× 200 = 400

The formula for Exponential growth =

y = a(1 + r)^t

y = Value at time t = 400

a = Initial value = 200

r = 2% = 0.02

t = ?

Hence:

400 = 200 ( 1 + 0.02)^t

Divide both sides by 200

400/200 = 200 ( 1 + 0.02)^t/200

2 = (1.02)^t

Take logarithm of both sides

log 2 = log(1.02)^t

log 2 = t log 1.02

t = log 2/log 1.02

t = 35.003417942

Approximately t = 35

We have so many formula to calculate doubling time

t = 70/Growth rate

From the above question

Growth rate = 70/2%

= 35

Therefore, the equation that we use to calculate how long it will take for the population to double to 400 people is 70/2

Answer:

1. 1570

2. can't see properly

3. can't see properly

4. 392.5

5. 615.4

6. 6049

7. not clear can't see

8. 1589

9.:1570

Answer: 30 meters

Step-by-step explanation:

Volume of a cylinder = πr^2h

2,827.43 = πr^2(4)

2,827.43 = 3.14(4)r^2

2,827.43 = 12.56*r^2

2,827.43/12.56 = (12.56*r^2)/12.56

225.11 = r^2, find square root of both sides

r = 15

diameter = 30

Answer:

35 ft

Step-by-step explanation:

Sorry this took me so long, I am 99% sure it is right though

I hope this helps :)

Answer:

x=-0.5

Step-by-step explanation:

6.8x + 9.3= -9.4 + 3.4 (2-5x)

6.8x + 9.3 = -9.4 + 6.8 - 17x

6.8x + 9.3 = -2.6 - 17x

22.8x = -11.9

x = -0.5

Answer:

The probability of rolling the die once to get a four is 1/6

Step-by-step explanation:

So we do 1/6*1/6*1/6 which is 1/216 since it's combined probabilities

Brainliest?

Answer:

see explanation

Step-by-step explanation:

j - 4 ≤ 0 ( add 4 to both sides )

j ≤ 4

The graph has a closed circle at 4 on the number line with the arrow pointing left

Answer:

ax2 + bx + c

Step-by-step explanation:

the 2 is the square

Answer:

13 cm

Step-by-step explanation:

just took the test

Answer:

the third one (2,-18)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

i would have helped u

Step-by-step explanation:

but i have forgotten the steps in solving this question

Answer:

is this Afrikaans laguage I don't understand your questions please comment it in English for me

Answer:

y^7

Step-by-step explanation:

y^3 . y^5 . y^-2 . y

= y^3 . y^5 . y^-2 . y^1

= y^( 3 + 5 - 2 + 1 )

= y^( 3 + 5 + 1 - 2 )

= y^( 9 - 2 )

= y^7

Answer:

Interior angles are congruent.

Step-by-step explanation:

We see that angles 3,4,5,6 are between the two parallel lines . These angles are called interior angles.

Angles 3,6 are opposite and do not share the same vertex.

Similarly angles 4 and 5 do not share the same vertex.

They are congruent.

If we look closely we see that angles 3 &4  and angles 5&6 are supplementary angles.

i.e they together make up the 180 degrees on the straight line.

On  the outer sides of the parallel lines angles 1&2 and angles 7 & 8 are exterior angles

which also make supplementary angles on the parallel lines.

From the diagram we see that

∠ 5= ∠7  

and

∠6 = ∠ 8

as the corresponding angles are equal

∠8=∠3

∠7=∠4

As they are opposite angles

Similarly

∠1=∠6

∠2=∠5  ( opposite angles)

From above

∠5=∠7

but ∠7= ∠4

therefore

∠ 5= ∠4-----------------A

Also

∠6 = ∠ 8

but ∠8=∠3

therefore

∠6=∠8----------------------B

From An and B we conclude  interior angles are congruent

Answer:

the volume of the can is 61.21 cubic inches

Step-by-step explanation:

Given that

The diameter is 3.8 inches so the radius would be = 3.8 ÷ 2 = 1.9 inches

And, the height of the cylindrical soup is 5.4 inches

We need to find out the volume of the can

As we know that

The volume of the can is

[tex]Volume = \pi r^2h\\\\Volume = 3.14 \times 1.9^2 \times 5.4[/tex]

Volume = 61.21 cubic inches

Hence, the volume of the can is 61.21 cubic inches

Answer:

6cm squared

Step-by-step explanation:

to find the area of a triangle, it is base x height divided by 2

4 x 3 = 12

12 divided by 2 = 6

Answer:

The first three depending on what the first one says. 2 and three are definitely correct though. If the first one says x to the second power added by 4 then it is correct.

Step-by-step explanation:

9514 1404 393

Answer:

  B. x^4/4

Step-by-step explanation:

   [tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

There are 5 significant figures.

Answer:

No

Step-by-step explanation:

When  you distribute the -2 you get 6x -2x+2. When  you simplify it you get 4x+2 which is different than 4x-2.

Answer:

10.9

Step-by-step explanation:

4 1/2 plus 6 2/5=10.9

Answer: 10.9

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

18×8= 144 for the area of the entire rectangle.

4×4= 16/2=8 for the area of the triangle.

8×4=32 because there are 4 triangles.

144-32=112 because you don't want the area of the triangles only the shaded area

Answer:

75%

Step-by-step explanation:

We know that Mary made twelve bracelets and also that nine of them are blue, we are then asked to find the percentage of the bracelets that are blue.

To solve, first get a fraction of how many of the bracelets are blue. Since there are twelve in total, 12 will be our denominator, and since 9 are blue, 9 will be our numerator.

[tex]\frac{9}{12}[/tex]

Now to turn this into a percentage, we need to reduce this fraction to the lowest we can. Both numerator and denominator are divisible by 3, so do as followed :

[tex]\frac{9/3}{12/3}[/tex]

[tex]\frac{3}{4}[/tex]

Divide 3 by 4 :

[tex]3/4 = 0.75[/tex]

Multiply 0.75 by 100 to get our percentage :

[tex]0.75 * 100 = 75[/tex]%

Answer:

196 square meters

Step-by-step explanation:

If the floor mat is square and one side is 14m then all sides are 14m. Given this you would find area by multiplying length by width.

L=14 W=14

14x14=196

There are 196 square meters

Answer:

3 (or 3.33)

Step-by-step explanation:

333 as a percent is 3.33

this rounds down to 3, so 3 is your answer