The half-life of krypton-91 is 10 seconds. At time t = 0 a heavy canister contains 3 g of this radioactive gas. How much remains after one minute?

Using linear functions, it is found that the correct option is:

Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].

A linear function has the following format:

[tex]y = ax + b[/tex]

In which:

Linear equation A is given by:

[tex]y = \frac{4}{5}x[/tex]

Linear equation B passes through points (0, 2) and (5, 4). Since the slope between two points is given by change in y divided by change in x, we have that:

[tex]m = \frac{4 - 2}{5 - 0} = \frac{2}{5}[/tex]

Equation A has a higher slope, hence, it is steeper, and the correct option is:

Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].

A similar problem is given at https://brainly.com/question/20386726

Answer: Let x = length (in cm) of the decreasing leg at time t seconds

Step-by-step explanation: I hope this was any help ϵ( ‘Θ’ )϶

Step-by-step explanation:

63/56 = 9/8 = 1⅛.

hope this helps you.

Answer:

1 1/8.

Step-by-step explanation:

First divide 63 by 56 .

This gives 1 with a remainder of 7.

So we can write the mixed number as 1 7/56.

This simplifies to 1 1/8.

Answer:

$162.75

Step-by-step explanation:

150 * 1.085 = 162.75

Answer:

9,600

Step-by-step explanation:

100-4 is 96

96 times 100 is 9600

Answer:

About 2.72 rounded

Step-by-step explanation:

PEMDAS

:))

Answer:

1/3 hours : 22 gallons

1.5 hours : 99 gallons

Step-by-step explanation:

set a proportion fo all of them

x hours : 22 gallons:

66 22

--- = ---

60 x

22/66 = 0.3333333333333 x 60

= 20 and convert to fraction

20/60 simplified is 1/3

1.5 hours : x gallons

66 x

-- = ---

1 1.5

1.5 / 1 = 1.5

1.5 x 66 = 99

x = 99

Answer:

232

Step-by-step explanation:

4*58=232

Answer:

Step-by-step explanation:

Starting point is 117 and common difference is - 28.

The first 4 terms are:

Correct sequence is B

Answer:

[tex]x=\frac{cd-ab}{a-c}[/tex]

Step-by-step explanation:

The question is worded in a complicated way. All it says is to solve the equation for x. Do this by isolating x on one side of the equation.

First step is to distribute the a and c on either side,

Subtract cx from both sides,

Next, subtract ab from both sides,

Then, factor out x from the left side,

Finally, divide both sides by a-c,

Answer:

Each friend contributes 8 dollars

Step-by-step explanation:

200 ÷ 25 = 8 dollars

so each friend contributes 8 dollars

Answer:

Each person contributes $8

Step-by-step explanation:

200/25= 8

Answer:

Step-by-step explanation:

Before removing brackets, multiply everything inside them by two.

2*1/5 m - 2 * 2/5 + 3/5

2/5 m - 4/5 + 3/5

2/5 m - 1/5

That's as much as you can do. No further reduction is possible.

Answer:

[tex]\frac{2m-1}{5}[/tex]

Step-by-step explanation:

[tex]2(\frac{1}{5} m-\frac{2}{5} )+\frac{3}{5}[/tex]

First, simplify [tex]\frac{1}{5} m[/tex] to [tex]\frac{m}{5}[/tex]:

[tex]2(\frac{m}{5} -\frac{2}{5} )+\frac{3}{5}[/tex]

Merge the denominators:

[tex]2(\frac{m-2}{5} )+\frac{3}{5}[/tex]

Simplify:

[tex]\frac{2m-4}{5} +\frac{3}{5}[/tex]

Merge the denominators again:

[tex]\frac{2m-4+3}{5}[/tex]

Simplify one final time:

[tex]\frac{2m-1}{5}[/tex]

Please mark brainliest if this helps you, and I can provide more information if needed.

Step-by-step explanation:

9. option B

3,13

13 = 5(3) - 2

13 = 15 - 12 → 13 = 13

Answer:

7, though I don't know if it's 100% correct. I tried to help.

Step-by-step explanation:

f(x) = 4x^2 + 3x interval [1,5]

f(1) = 4(1)^2 + 3(1)

f(1) = 4 + 3

f(1) = 7

Answer:

[tex]\boxed {\boxed {\sf 27}}[/tex]

Step-by-step explanation:

The average rate of change is the change in the output from one input to another. Essentially, it is the change in y over the change in x.

[tex]\frac {\Delta y}{\Delta x} = \frac { f (x_2)- f(x_1) }{x_2-x_1}[/tex]

Let's assign 1 to x₁ and 5 to x₂.

[tex]\frac {f(5)-f(1)}{5-1}[/tex]

We must find the outputs f(5) and f(1). Substitute the value in for each x in the function.

f(x)= 4x² + 3x

Now we can find the average rate of change. We know the outputs and we know the inputs.

[tex]\frac {f(5)-f(1)}{5-1}[/tex]

[tex]\frac {115 -7}{5-1}[/tex]

[tex]\frac {108}{4}[/tex]

[tex]27[/tex]

The average of change of the function f(x) = 4x² + 3x on the interval [1,5] is 27.

Answer:

fraction form

x= 2 + ln(30)/ln(7)

decimal form

x= 3.74786969

Step-by-step explanation:

What I like to call the logarithmic equation solver.

Bring it down turn it around.

First bring down the 7 to a ㏒7 and the x-2 so that ㏒7(x-2)=30

Then change the constants from on another so then it would look like

㏒7(30)=x-2

solve for x

to solve do the log base finder equation ㏒(30)/ln(7)

and add 2

Answer:

35

Step-by-step explanation:

19+19.50=38.5

38.5×7=269.5

269.5÷7.70=35

Answer:

80 square units

Step-by-step explanation:

I am in a rush so this might not be right but probably is

Answer:

the answer is 8

Step-by-step explanation:

because the (8)²is 8×8is 64

Answer:

Length of three sides=3(25)=75ft

Cost per metre=15.00

Total cost:-

[tex]\\ \sf\longmapsto 15(15)=225.00[/tex]

Answer:

793

Step-by-step explanation:

Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.

So, -10--21=11 and also 1--10=11

so common difference is 11

now we will use the formula Asubn=Asub1+d(n-1)

D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1

Anyways, Asub75=-21+11(75-1)=793

Answer:

y = 1/2x + 7

Step-by-step explanation:

Parallel lines have the same slope.

Therefore the new equation will have a slope(m) = 1/2

Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"

y = mx + b

6 = 1/2(-2) + b

6 = -1 + b

7 = b

The new equation: y = mx + b

                                y = 1/2x + 7

Answer:

Answer in Explanation

Step-by-step explanation:

-10 + 1 + 7x = 37

-9 + 7x = 37

Add 9 on both sides to leave 7x alone

7x = 46

Divide by 7 to leave x alone

x = 46/7 or 6.57

If the equation is positive 10 at the beginning instead of -10 then this is the answer for that:

10 + 1 + 7x = 37

11 + 7x = 37

Subtract 11 from both sides to leave 7x alone

7x = 26

Divide by 7 to leave x alone

x = 26/7 or 3.7

Think of a vertical number line. The positive values count down as we move down this number line. The negative numbers count up, so to speak, as we move down the number line. So we have -1, -2, -3, ... as we move down. This indicates that -5 is not smaller than -7.

Diagram is below.

Answer:

He uses the credit card to pay $9 for lunch. Use the number line to subtract $9 from Colton's credit balance, and complete the equation. ucation

Step-by-step explanation:

Answer: 0.48

Step-by-step explanation: 5.76 divided by 12 equals 0.48 because that determined how much an ear of corn costs.

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]

Part A

x = some unknown number

2x = doubling that number

2x+11 = adding on eleven

=============================================================

Part B

If we knew what x was, then we can compute 2x+11 using the order of operations PEMDAS. Because x is unknown, we follow PEMDAS in reverse to isolate x.

So we'll undo the addition first by subtracting 11 from both sides. Then we undo the multiplication by dividing both sides by 2.

2x+11 = 25

2x+11-11 = 25-11 ..... subtract 11 from both sides

2x = 14

2x/2 = 14/2 ...... divide both sides by 2

x = 7

The number the person thought of was 7. Double 7 to get 14. Add on eleven to get 14+11 = 25.