Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 14 grams?
y=a(.5)

Answer:

No solution

Step-by-step explanation:

The lines are parallel because they have the same slope.

Elimination method also just gives you 3 = 7 which is not true, therefore no solutions.

Answer:

Problem 1: x = 129, Problem 2, x = 133

Step-by-step explanation:

Problem 1: x = (4-2)x180 - 71 -112 - 48     = 129

Problem 2: x = (6-2)x180 - 90 - 130 - 93 - 150 - 124      = 133

Answer:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

We know that line f(x) passes through points (5, 0) and (10, 10)

Then the slope of f(x) is:

a = (10 - 0)/(10 - 5) = 10/5 = 2

then:

f(x) = 2*x + b

again, knowing that f(10) = 10   (because this line passes through point (10, 10) )

10 = 2*10 + b

10 = 20 + b

10 - 20 = b = -10

Then the equation of this line is:

f(x) = 2*x - 10

Now for g(x) we know that it passes through (-3, 0) and (2, 10)

then the slope is:

a = (10 - 0)/(2 - (-3)) = 10/5 = 2

g(x) = 2*x + b

And knowing that g(2) = 10   (because this line passes through point (2, 10) )

10 = 2*2 + b

10 = 4 + b

10 - 4 = b

6 = b

then:

g(x) = 2*x + 6

Then the equations are:

f(x) = 2*x  - 10

g(x) = 2*x + 6

A) One transformation may be a vertical translation, and the other can be a horizontal translation.

This is a vertical translation, which is defined as:

For a function f(x), a vertical translation of k units is written as:

g(x) = f(x) + k

If k is positive, the translation is upwards

if k is negative, the translation is downwards.

And an horizontal translation of k units is written as:

g(x) = f(x - k)

if k is positive, the translation is to the right

if k is negative, the translation is to the left.

B)

For the vertical translation we have:

g(x) = f(x) + k

2*x + 6 = 2*x  - 10 + k

6 = -10 + k

6 + 10 = k

16 = k

For the horizontal translation we have:

g(x) = f(x - k)

2*x + 6 = 2*(x - k) - 10

2*x + 6 = 2*x - 2*k - 10

6 = -2*k - 10

6 + 10 = -2*k

16 = -2*k

16/-2 = k

-8 = k

C)

The transformations are:

g(x) = f(x) + 16

or

g(x) = f(x - (-8))

Answer: 18 degrees

Step-by-step explanation:

If the temperature dropped 12 degrees (48-36) in 10 hours then the ratio is

10hours:12 degrees

to find hours divide both sides by 2 and multiply by 3 to get

15hours: 18 degrees

.............that apple do be looking good doe........ : /

Notice that v points into the third quadrant since both of its components are negative. If you want a vector to point in the same direction, it would need to have the same sign on its components. So C is the correct choice.

The factor of 1/√80 comes from normalizing the vector v. Its norm/magnitude is

|v| = √((-4)² + (-8)²) = √(16 + 64) = √80

so the unit vector that points in the same direction as v is simply v / |v|.

Answer:

145.12

Step-by-step explanation:

3.14 * 16 / 2 + 120

I basically got the same answer

Answer:

3,50$

Step-by-step explanation:

(2,25 x 4) + 7,50 = 16,50$

20-16,50 = 3,50$

Answer:

your answer should be C.

Answer:

v

Step-by-step explanation:

Answer:

you are correct do not say any other answer

Answer:

The answer is either

y=50000 x 0.8^x

or

y=50000(20%)^x but this just seems wrong

Step-by-step explanation:

Answer:

A. 4

B. 348

C. 2

D. 174182400

E. x = 2

Step-by-step explanation:

Given - A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)

             B = (6ǃ-4ǃ)/2ǃ

             C = 2ǃx3ǃx4ǃ/(5ǃ+4ǃ)

             D = 10ǃx8ǃ/(6ǃ+5ǃ)

             E -  ((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ

Proof -

A.

(4! + 2! + 3! )/ (3! + 2!) = [4×3×2! + 2! + 3×2!] / [3×2! + 2!]

                                  = 2! [ 4×3 + 1 + 3] / 2! [3 + 1]

                                  = [12 + 1 + 3] / [4]

                                  = [16] / [4] = 4

⇒(4! + 2! + 3! )/ (3! + 2!) = 4

B.

(6ǃ-4ǃ)/2ǃ = [6×5×4! - 4!] / 2!

              = 4! [6×5 - 1] / 2!

              = 4×3×2! [ 30 - 1] / 2!

              = 12 [29] = 348

⇒(6ǃ-4ǃ)/2ǃ = 348

C.

2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2!×3!×4! / [ 5×4! + 4!]

                         = 2!×3!×4! / 4! [ 5 + 1]

                         = (2×1) × (3×2×1) / 6

                         = 12 / 6 = 2

⇒2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2

D.

10ǃx8ǃ/(6ǃ+5ǃ) = 10!×8! / [ 6×5! + 5!]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×7×6×5!) / 5! [6 + 1]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×7×6) / [7]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×6)

                      = 174182400

⇒10ǃx8ǃ/(6ǃ+5ǃ) = 174182400

E.

((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ

[(x+5)(x+4)(x+3)! (x+3)!] / [ (x+4)(x+3)! + (x+3)! ] = 6!

[(x+5)(x+4)(x+3)! (x+3)!] / (x+3)!  [ (x+4)+ 1] = 6!

[(x+5)(x+4)(x+3)! / (  [ x+ 5 ] = 6!

(x+4)(x+3)! = 6!

(x+4)! = 6!

x+ 4 = 6

x = 6 - 4

x = 2

Note :

x! = x(x-1)(x-2).......(4)(3)(2)(1)

Answer:

-16..

Step-by-step explanation:

the question is not clear

Answer:

15 ? :)

Step-by-step explanation:

Answer:

I believe the answer is D

Step-by-step explanation:

Answer:

720 = x +133+138+148+95+105

x = 101

Answer:

6.82%(or -6.82%, it depends)

Step-by-step explanation:

95.2-88.7=6.5

6.5/95.2=6.82%

Answer:

27x^6 y^9

z^9

Step-by-step explanation:

That should be the answer,if not...sorry!:)

Answer:

its 12

Step-by-step explanation:

Answer:

Janine is 28. Ingrid is 30.

Step-by-step explanation:

Let the ages be x and x + 2 for Janine and her sister, respectively.

x/7 + (x + 2)/3 = 14

Multiply both sides by the LCD, 21, to get rid of denominators.

21 * x/7 + 21 * (x + 2)/2 = 21 * 14

3x + 7(x + 2) = 294

3x + 7x + 14 = 294

10x = 280

x = 28

x + 2 = 30

Answer: Janine is 28. Ingrid is 30.

Answer:

Janine is 28 and Ingrid is 30.

Step-by-step explanation:

Let Janine's age be x years , then Ingrid's age is x+2 years.

From the given information we have the equation:

x/7 + (x + 2)/3 = 14

Multiplying through by the LCM of 3 and 7 (21),  we have:

3x + 7(x + 2) = 294

10x + 14 = 294

10x =  294-14 = 280

x = 28, so:

Janine is 28 and Ingrid is 30.

Answer:

x=4,y=3

Step-by-step explanation:

x=19-5y if we transpose equation 2 for x.

Plug that into equation 1

4(19-5y)+3y=25

76-20y+3y=25

76-25=17y

51=17y

y=3

Plug y=3 into equation 2

x+5(3)=19

x=19-15=4

We are having two equations,

★ From Equation No 2 :-

>> x + 5y = 19

>> x = 19 - 5y

★ From Equation No 1 :-

Substitute here the value of x which we got above as (19 - 5y).

>> 4x + 3y = 25

>> 4 (19 - 5y) + 3y = 25

>> 4 × (19 - 5y) + 3y = 25

>> 76 - 20y + 3y = 25

>> 76 - 17y = 25

>> -17y = 25 - 76

>> -17y = -51

>> 17y = 51

>> y = 51 / 17

>> y = 3

★ Finding out value of x :-

>> x = 19 - 5y

>> x = 19 - 5(3)

>> x = 19 - 5 × (3)

>> x = 19 - 15

>> x = 4

Answer:

-1/200

Step-by-step explanation:

To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.

Answer:

1378 -3839=10

Step-by-step explanation:

The new protocols, but the fact is a great place for a long time, and it was very nice to be able to get the best the first place in the same manner as the most important part in a row and the rest of us to do with it, but the fact is that it was the only one who thinks and the

Answer:

15 feet by 40 feet

Step-by-step explanation:

if the original dimensions were 3 by 8 and 1 cm = 5 feet multiply 3x5 then 8x5 and you receive your answer.

Answer:

58

Step-by-step explanation:

The range is the difference between the highest and the lowest numbers in the number set.

The highest number in this set is 677 and the lowest number is 619.

677 - 619 = 58

Answer:

$75.6

Step-by-step explanation:

5%of 72 = 3.6

72+3.6 = 75.6

Answer:

(-6,-3) would be the answer