4) A radioactive material decays at a rate of 40% per hour.
a) If we start with 80 grams of the substance, can you find a fomula that models this rate
of decay?
b) How much will be remaining at the end of 6 hours?
Pls help show work

Answer:

0.25

Step-by-step explanation:

A proportional equation has the form

y = kx ← k is the constant of proportion

y = 0.25x ← is in proportional form

with k = 0.25

Answer:

Answer and steps are in picture.

Answer:

6/10 kg

Step-by-step explanation:

Ed bought 4 pieces of salmon weighing a total of 2 kilograms. One piece weighed 4/10 kg, and two of the pieces weighed 5/10 kg each. What was the weight of the fourth piece of salmon? Explained

Hence:

Total kg of salmon = 4/10 + 5/10 + 5/10 + fourth piece

Total kg = 2 kg

Hence,

Fourth piece = 2 kg - ( 4/10 + 5/10 + 5/10) kg

Lowest common denominator = 10

2 kg - (4 + 5 + 5/10)

2kg - (14/10)kg

2 kg - 1 4/10 kg

= 6/10 kg

The weight of the fourth piece =

6/10 kg

Answer:

general, efficiency is the amount used divided by the amount ... irrigation such as reduced labor and water cost also factor into ... What is the percent change from Loose to Hard. ... 2 hours if average hourly radiation energy input (RS) is ... minimum temperature is 8 ... (c) What is the pressure in the container at a depth 0.5 ft.

Step-by-step explanation:

Answer:

4 hope it helps you better

Answer:

54

Step-by-step explanation:

A 90 degree triangle will seperate into three sides equalling 90 degrees.

90          75

-25         -21

= 75       =54

The third side is 54 degrees, I believe. Haven't done this in a while so I apologize if I made any mistakes.

Answer:

x=31

Step-by-step explanation:

Hello there!

the shown angles are supplementary meaning that the sum of the two is 180

so we create an equation

180=3x+25+2x

step 1 combine like terms

3x+2x

now we have

180=25+5x

step 2 subtract 25 from each side

180-25=155

now we have

155=5x

step 3 divide each side by 5

155/5=31

5x/5=x

we're left with x=31

~TheMathWiz

Answer:

11p+7q

Step-by-step explanation:

Answer:

136+56 ig

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

one cubic cm would be 2x2x2=8 half cm³

you have 1x2x2.5 cm cube = 5 cm³

5 x 8 = 40

another way to look at it:

2 1/2 = 5 half-cubes long

2 = 4 half cubes wide

1 = 2 half cubes tall

5 x 4 x 2 = 40

Answer:

Hot dogs: $2.75

Sodas: $1.5

Step-by-step explanation:

Hot dogs = x

Sodas = y

4x + 3y = 15.5

3x + 2y = 11.25

First find the value of the hot dogs by canceling out y:

2(4x + 3y) = 2(15.5)

3(3x + 2y) = 3(11.25)

= 8x + 6y = 31

9x + 6y = 33.75

x = $2.75 (Minus bottom equation from the top to isolate x)

Plug in for x to get y:

3(2.75) + 2y = 11.25

2y = 11.25 - 8.25 (Isolate the y)

2y = 3

y = 3/2, or $1.5

Answer:

Answer is in the photo. I can only upload it to a file hosting service. link below!

is.gd/qKzpBU

Answer:

i think its c

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-9x -3(2) = 6

-9x + 6 = 6

-9x + 6 -6 = 6-6

-9x/ -9= 0/-9

x=0

Answer:

1

Step-by-step explanation:

Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.

The average value of a function f(x) over an interval [a, b] is

                  f(b) - f(a)

ave. val. = ---------------

                     b - a

which in this particular case is

                     19 - 30

ave. val. = ----------------- = -11/11 = 1

                     6 - (-5)

The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.

Answer:

x = 44°

Step-by-step explanation:

The sum of all the interior angles of a triangle = 180°

so:

(x+4) + x + 2x = 180°

reducing:

4x + 4° = 180°

4x = 176°

x = 44°

Answer:

16 in

Step-by-step explanation:

4 +4+4+4 = 16

Answer:

16

Step-by-step explanation:

since perimeter is the length of all the sides added up, and the sides of a square are all equal, you just add up all the sides!

Answer:

If the base of the prism has dimensions x and y, and the diagonal along the base is represented by c, then x² + y² = c². The longest diagonal in the solid, s, is the hypotenuse of the triangle formed by the sides c and the height of the solid, z. So we know that, c² + z² = s².

Step-by-step explanation:

Answer:

2.5 is the correct answer.

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

Answer:

(-4, 5)

Step-by-step explanation (work shown in attached picture):

1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.

2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.

Since x = -4 and y = 5, the solution is (-4, 5).  

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

It should be 3 because when you look at it divide them all and each one gives you 3. If it's not then sorry.

Answer:

1.9 feets (nearest tenth) ;

24.9 feets

Step-by-step explanation:

Given that :

Angle, θ = 4.3°

Length of ramp = 25

Maximum Height, h ;

sinθ = opposite / hypotenus

Sin 4.3 = h / 25

0.0749787 * 25 = h

1.874 feet = h

1.9 feets (nearest tenth)

Distance along the ground the ramp could cover :

Cos θ = Adjacent / hypotenus

Cos 4.3 = x / 25

0.9971851 = x / 25

0.9971851 * 25 = x

x = 24.929

x = 24.9 (nearest tenth)