There was a sample of 350 milligrams of a radioactive substance to start a study. since then, the sample has decayed by 7.3% each year. let t be the number of years since the start of the study. let y be the mass of the sample in milligrams. write an exponential function showing the relationship between y and t .

Answer:

y = 2x + 13 or -2x + y = 13

Step-by-step explanation:

1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...

2y = -x + 6 - > y = -1/2x + 3

2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...

y = 2x + b

3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)

3 = 2(8) + b

3 = 16 + b

-13 = b

b = 13

4) Now, we know that b = 13 and the slope is 2. Therefore...

y = 2x + 13

Also note, if you want this equation in standard form, it would be...

-2x + y = 13

Answer:

Yes

Step-by-step explanation:

- 1 / 2 = - 1 / 2

Both are equal.

Answer:

165 feet below sea level.

Step-by-step explanation:

205 - 80 = 125

125 + 40 = 165

Answer:

2/5

Step-by-step explanation:

Six out of 15 are full.

[tex]\dfrac{6}{15}=\dfrac{2*3}{5*3}=\dfrac{2}{5}[/tex]

Answer:

I was thinking it should be -1,2 but that'd not an awnser so B

Answer: 57

Step-by-step explanation: First add the won and lost games then subtract the sum from the total games played to determine how many games were tied. Then take the won games and multiply them by 2, take the tied games, and add them together to get your answer: 57.

Answer:

The equation of a line in the slope-intercept form is:

y = 5x - 18

The slope-intercept form of the line equation

where

   m is the slope

   b is the y-intercept

In our case, we are given

   m = 5

   Point (4, 2)

now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept

y = mx + b

2 = 5(4) + b

20 + b = 2

subtract 20 from both side

20 + b - 20 = 2 - 20

b = -18

now substituting b = -18 and m = 5 in the slope-intercept form of the line equation

y = mx + b

y = 5x + (-18)

y = 5x - 18

Therefore, the equation of a line in the slope-intercept form is:

y = 5x - 18

Pls mark me as brainliest thank you

Answer:

Step-by-step explanation:

m = 4

y = mx +c

y= 4x + c

Plugin x = 3 and y= 4 in the above equation

4 = 4*3 + c

4 = 12 +c

4 - 12 = c

c = -8

Equation of the line :

y = 4x - 8

Answer:

7 buckets.

Step-by-step explanation:

17.5 / 2.5 = 7

Answer:

7

Step-by-step explanation:

17.5/2.5=7

Answer:

0 , 5

-1 , 1

-3

Step-by-step explanation:

Each row, column and diagonal adds up to 3 because of the column on the right.

The bottom row must add up to 3, so the blank there is -3.

The diagonal from the bottom left corner to the upper right corner also must add up to 3, so the blank in the middle is 1.

The column in the middle must add up to 3, so the blank at the top is 5.

The top row also must equal to 3, so the blank on the left is 0.

The left column also must equal to 3, so the last blank left is -1.

Step-by-step explanation:

just like an equation.

5x - 7 > 4x + 8 | -4x + 7

x > 15

and that is your result.

in contrast to an equation, an inequality delivers a range as result and not a single point.

Answer:

[tex]\huge\boxed{\sf x > 15}[/tex]

Step-by-step explanation:

5x - 7 > 4x + 8

Subtract 4x to both sides, and Add 7 to both sides

5x - 4x > 8 + 7

x > 15

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

7460

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

7460

Answer:

a = 7.46

7.46 x 103

103 = 1,000 x 7.46 = 7,460

here your answer

hope it helps you

Answer: 6.4 and in fraction form 32/5

Answer:

32/5 or 6 2/5 which 6 2/5 is the simplified answer

Step-by-step explanation:

so first you want to turn your mixed numbers( 2 2/3 and 2 2/5) into fractions

so you turn 2 2/3 into a fraction by multiply 2 times 3 + 2 and you keep the denominator so it would be 8/3

Then you would do the same for the other one 2 times 5 +2 and that would be 12/5

The multiply 8/3 times 12/5 but cross simplify 3 and 12 make 12 four and make 3 one

so then your problem should look like this 8/1 times 4/5 and the answer is 32/5 or if you simplify it would be 6 2/5

'Hope this helped

Answer:

A

Step-by-step explanation:

Answer:

angle 1 and angle 5

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Answer:

a = - 5/3

Step-by-step explanation:

Answer:

500 ml

Step-by-step explanation:

1 liter = 1 000 ml

1 / 2 liters = 1000 ml /2 = 500 ml

1000ml - 500 ml = 500 ml

Answer:

Step-by-step explanation:

5√7²=5√49=9.8

Answer:

Step-by-step explanation:

Umm what is your question u did not add it?

Answer:

I think A

Step-by-step explanation:

Unlike tennis or badminton, only the serving team can win a point.

Answer:

I believe its c but I barely know how to play that

Y >= 2X - 5

Step-by-step explanation:

yeah-ya..... right?

Answer:

4.2

Step-by-step explanation:

All sides are proportional, so choose a pair and find the proportion

Ex: AB and JK = 7/5=1.4

so each side is multiplied by 1.4 to get the larger figure

So 3*1.4=4.2

Step-by-step explanation:

Tahap risiko unit amanah?

Answer:

a₁₅ = 675

Step-by-step explanation:

Substitute n = 15 into the nth term formula

a₁₅ = 3(15)² = 3 × 225 = 675

Answer:

A.) Yes

Step-by-step explanation:

Plug in (3,2) into both equations ....

2(3) - 3(2) = 0

2(3) + 2 = 8

Then solve ....

2(3) - 3(2) = 0

6 - 6 = 0

0 = 0

2(3) + 2 = 8

6 + 2 = 8

8 = 8

Since both equation are true the solution (3,2) is true

Answer:

18) 3

20) -65

22) 12/5

24) -5/2

Step-by-step explanation:

18)  f(-5) = -[2(-5)+1] / 3

= -(-10+1)/3

= -(-9)/3

= 3

20) f(7) = -9(7)-2

= -63-2

= -65

22) f(-1) = -[(12 · -1)]÷5

= -(-12)÷5

= 12/5 or 2 2/5

24) f(9) = 2/9(9) - 9/2

= 2 - 9/2

= 4/2 - 9/2

= -5/2 or -2 1/2

Answer:

Step-by-step explanation:

A CHOOSE A

Answer:

A

Step-by-step explanation:

 sorry:c

Answer:

(0,60)

Step-by-step explanation:

I hope I plugged in your equation the right way as you typed it, but this is where the line meets the y coordinate, (0,60)

Answer:

basically you move the y and x to one side and the constant to the other

for example if we had 2y=-5x+6, you'd move the 5x other to the other side by adding 5x and you'd get 5x+2y=6