What is the slope of a line that is parallel to the graph of 4x +1y = 47

Answer:

The function that models the mass of the carbon-14 sample remaining t years since the initial measurement is

M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ

with M(t) in grams and t in years.

Step-by-step explanation:

Radioactive reactions always follow a first order reaction dynamic

Let the initial concentration of Carbon-14 be M₀ and the concentration at any time be M

(dM/dt) = -kM (Minus sign because it's a rate of reduction)

(dM/dt) = -kM

(dM/M) = -kdt

 ∫ (dM/M) = -k ∫ dt 

Solving the two sides as definite integrals by integrating the left hand side from M₀ to M and the Right hand side from 0 to t.

We obtain

In (M/M₀) = -kt

(M/M₀) = e⁻ᵏᵗ

M(t) = M₀ e⁻ᵏᵗ

Although, we can obtain k from the information on half life.

For a first order reaction, the rate constant (k) and the half life (T) are related thus

T = (In2)/k

The half life is the time taken for the radioactive substance to decay to hAlf of its original amount, and according to the question, T = 5730 years

k = (In 2)/5730 = 0.000120968 /year. = 0.000121 /year

M(t) = M₀ e⁻ᵏᵗ

k = 0.000121 /year, M₀ = 741 grams

The equation then becomes

M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ

with M(t) in grams and t in years.

Hope this Helps!!!

Answer:

M(t)=741*(1/2)^t/5730

Answer: the answer is c. 3

Step-by-step explanation:

Subtract 4x from 7x

3x-2=7

Then add 2 to 7

3x=9

Then divide 3 by 3x and 9 by 3

X=3

c. The value of x is 3

A line segment is a part of straight line measured between two points.

A line segment always have a definite length.

Given, a line segment contains points A, B, C in order.

Also the point B is the middle point of AC.

Hence, we can say that, AB = BC  ......(1)

Here, AB = 7x-2 & BC = 4x+7

Therefore, from (1) we get,

7x-2 = 4x+7

⇒ 7x-4x = 7+2

⇒ 3x = 9

⇒ x = 3

The value of x = 3

Learn more about Line segment here :

https://brainly.com/question/280216

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Answer:

a) The modal average is 3 bedrooms

b) The mean number of bedrooms is 2.825, or 3 rounded.

Step-by-step explanation:

If you lay out all the numbers from lowest to highest, and find the one in the middle, it is 3 bedrooms.

For the mean, if you add up all the number of bedrooms then divide by the total frequency, you get 2.825. This would be 113 ÷ 40.

Answer:thats hard

Step-by-step explanation:

Answer:

I think 21/12

Step-by-step explanation:

hope it works out,!!

Answer:

Here is the answer 21/12

Step-by-step explanation:

to break 21/12 into a fraction we need to subtract, add a whole.

21-12 is 9  1 9/12

now we need to find a gcf for only 9/12 but divide

this is because the gcf of 4/5 is only 1 so we can’t use it

the gcf for 9/12 is 3

9/12 divided by 3 is 3/4

to know what’s greater I use the butterfly trick Which is sideways multiplying

3.       4

-         -

4         5

3 x 5 is 15

4 times 4 is 16

below the 16 should be 4/5

and if you look all the way at the top, it started as 21/12

so it is 21/12

Answer:

20x^2 +19x - 60

Step-by-step explanation:

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

Distribute

12x^2 +15x - 4 (-x-3) (2x -5)

FOIL

12x^2 +15x - 4( -2x^2 -6x +5x +15)

12x^2 +15x - 4( -2x^2 -x +15)

Distribute

12x^2 +15x +8x^2 +4x -60

Combine like terms

20x^2 +19x - 60

Answer:

20x ^2 + 19x -60

Step-by-step explanation:

12345678910121314151617181920

Answer:

given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value

Step-by-step explanation:

Answer:

A) g(x)= -(x-6)^2

Step-by-step explanation:

The graph is of a parabola, so there must be a ^2

If you plug the equation into the graphing calculator it will graph it for you.

Answer:

-2.5

Step-by-step explanation:

The slope can be found by

m = (y2-y1)/(x2-x1)

   = (3-18)/(4- -2)

   = -15/(4+2)

    =-15/6

    = -5/2

     -2.5

Answer:

C. -2.5

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-2,18) and (4,3).

[tex]m=\frac{3-18}{4-(-2)}= \frac{-15}{6} =-\frac{15}{6}= -\frac{5}{2}[/tex]

The options are given in decimals.

[tex]-5/2=-2.5[/tex]

Option C is the correct answer.

Answer:

C = 12.6 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2* pi*r

Using 3.14 for pi and 2 for r

C = 2 * 3.14 *2

C =12.56

To the nearest tenth

C = 12.6 inches

Answer:

[tex] = 12.56 \: in[/tex]

Step-by-step explanation:

[tex]c = 2\pi \: r \\ = 2 \times \pi \times 2 \\ = 4 \times \pi \\ = 12.56 \: \: in[/tex]

hope this helps you

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Green Material: 129.6 in³

Brown Material: 194.4 in³

Step-by-step explanation:

The volume of the bin is 4×18×9 in³ or 648 in³

20% of 648 is 129.6 in³ (brown material)

30% of 648 is 194.4 in³ (green material)

Answer:

Thanks for question. I am working my way up to more brainliest and Master Answerer. Every question/point helps

The equation for circumference is x = pi*2*r

First divide by 2 then divide by pi to get r. Use algebra to get this explanation. so 23/2/pi = 3.66. Thats the radius.

Answer:

[tex] - 12[/tex]

Step-by-step explanation:

[tex]x + 4x + 3 \: \: \: \: if \: \: \: \: x = - 3 \\ now \\ ( - 3) + 4( - 3) + 3 \\ - 3 - 12 + 3 = - 12[/tex]

Answer:

(3, -1)

x is 3

y is -1

Step-by-step explanation:

Solving for x:

2x+y=5

Subtract y from both sides

2x= -y+5

Subtract 5 from both sides

2x-5= -y

Multiply both sides by 4

8x-20= -4y

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

Subtract 11 from both sides

5x-11= -4y

Combine equations:

5x-11=8x-20

Subtract 5x from both sides

-11=3x-20

Add 20 to both sides

9=3x

3x=9

Divide both sides by 3

x=3

Solving for y:

2x+y=5

Subtract y from both sides

2x= -y+5

-y+5=2x

Multiply both sides by 5

-5y+25=10x

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

-4y+11=5x

Multiply both sides by 2

-8y+22=10x

Combine equations:

-8y+22= -5y+25

Add 8y to both sides

22=3y+25

Divide both sides by 25

-3=3y

3y= -3

Divide both sides by 3

y= -1

Answer:

Look at the attachment

Answer:

B 2/ 1/2

Step-by-step explanation:

becuase it points into the middle of 2 and 3

and thats how got B

hope this helps

Answer:

1

Step-by-step explanation:

8(y^0) + (-7)(y^0)

Remove parentheses: (a)=a

= 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]

Add similar elements: 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]= [tex]y^{0}[/tex]

= [tex]y^{0}[/tex]

Apply rule [tex]a^{0}[/tex] = 1, [tex]\alpha \neq 0[/tex]

= 1

Answer:

work is shown and pictured

Answer:

Large Pizza

Step-by-step explanation:

Rewarded with what? :P

Anyway,

The area of a circle is pi*r^2. Additionally, the radius is half the diameter.

The first pizza(s) have diameter 12, which means they have radius 6. The area of one is 6*6*pi=36pi, and since there are two we multiply by 2 to get 72pi.

The second pizza has diameter 18, so radius 9. The area of it is 9*9*pi=81pi.

Clearly 72pi is less than 81pi, so the Large Pizza is biggest.

Hope that helped,

-sirswagger21

(oh yeah and btw give me a million bucks for the reward ty :v)

Answer:

1. c

2. a

3. d

4. b

Step-by-step explanation:

For 1, use parchment paper for rotating it around the origin.

For 2, just make the y value positive.

For 3, add 13 to the y value.

For 4, use process of elimination with the answer choices.

(I know right, horrible explanation but you wanted the answers right?)

Answer:

t^12

Step-by-step explanation:

Because both multiplicands are negative, their product will be positive.  Both multiplicands are to the same base:  t.

Therefore, the product is t^(7 + 5), or t^12.

Answer:

135.2857142857143

Step-by-step explanation:

its right?

Answer:

7 x 1 = 1

9-7=2

7 x 3 = 21

24-21=3

7 x 5 = 35

37-35=2

135 remainder 2

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The formula for interior angles in a ngon is

(n-2)*180

2880/180=16

n-2=16

n=18

Answer:

[tex]( - 2)[/tex]

Step-by-step explanation:

Given that

[tex]a = 4 \\ b = - 2 \\ c = 8[/tex]

Let's solve now

[tex]a - b - c[/tex]

[tex]4 - ( - 2) - 8 \\ 4 + 2 - 8 \\ 6 - 8 \\ - 2[/tex]

Given

To find out:

Find the value of a - b - c ?

Solution:

a - b - c

Putting the value in the above

4 - ( - 2 ) - 8

4 + 2 - 8 [ - - = + ]

6 - 8

-2

Answer:

the answer is (6, -4)

Step-by-step explanation:

Answer:

Table B

Step-by-step explanation:

Table A Input Output

                5 3

                5 2

                4 1

Has  an input that goes to 2 different outputs, not a function

Table B Input Output

                 1 2

                 3 2

                 5 3

one to one relation which is a function

Table C Input Output

                 0 0

                 1 2

                 1 3

Has  an input that goes to 2 different outputs, not a function

Table D Input Output

                  4 2

                 4 3

                 4 4

Has  an input that goes to 2 different outputs, not a function

Answer:

logarithmic function passing through point 1, -2.

Step-by-step explanation:

f(x) = log10(x) - 2

Option: logarithmic function passing through point 3, 0 is incorrect because:

f(3) = log10(3) - 2 ≈ -1.5

Option: logarithmic function passing through point -1, 0 is incorrect because log10 is not defined for x < 0

Option: logarithmic function passing through point 1, 2 is incorrect because:

f(1) = log10(1) - 2 = -2

which means that option: logarithmic function passing through point 1, -2 is correct.

Answer:

4. 30m; the coefficient is 30.

Step-by-step explanation:

According to wiki, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number. For example, 4x +7 has a coefficient of 4 and a variable of 'x'. The product of 6 and 5 is thirty and the product of 30 and 'm' is 30m.