what fraction is bigger? 7/10, 1/5, 9/10
​

Answer:

The lab will have to wait 19.45 yers to safely store the material before disposal.

Step-by-step explanation:

Exponential equation for substance decay:

A exponential equation for the amount of a substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Decays at 3.5% per year.

This means that [tex]r = 0.035[/tex]

So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]A(t) = A(0)(0.965)^{t}[/tex]

How many years will the lab have to safely store the material before disposal?

It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So

[tex]A(t) = A(0)(0.965)^{t}[/tex]

[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]

[tex](0.965)^t = 0.5[/tex]

[tex]\log{(0.965)^t} = \log{0.5}[/tex]

[tex]t\log{0.965} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]

[tex]t = 19.45[/tex]

The lab will have to wait 19.45 yers to safely store the material before disposal.

Answer:

three and four-eighths inches

Step-by-step explanation:

Given :

Tick 1 = 2/8 (1 data point)

Tick 2 = 3/8 (3 data points)

Tick 3 = 4/8 (2 data points)

Tick 4 = 5/8 (no points)

Tick 5 = 6/8 (2 data points)

Tick 6 = 7/8 (no data points)

Tick 2 = 3/8 (3 data points)

....

Tick 13 = 1 6/8 (2 data points)

Hence, total length of all meteors that are 1 6/8 inches :

Length of meteor = 1 6/8

Number of meteors = 2

(2 * 1 6/8) = 2 * 14/8 = 28/8 = 3 4/8 = 3 1/2

Answer:

three and four-eights inches

Step-by-step explanation:

Answer:

the answer is mai is 54 and lin is 59

Answer:

V = 255.98189 pi

SA = 172.64114π

Step-by-step explanation:

The first thing to do is find the radius.

the measure of angle AKO = 1/2 the measure of angle AKB

m< AKO = 12.5 degrees

Now use trig to find AO (aka the radius)

tan(12.5) = AO/25

AO = 25* tan(12.5)

I'm leaving it like this to get a more accurate number

Now to find the volume

the volume of a cone is pir^2h/3

plugging everything in we get:

pi(25*tan(12.5))^2 * 25/3

which is about 255.98189 pi

Now for surface area

(this is the moment I realize symbols exist)

SA = πr(r+√h²+r²)

plugging everything in we have

π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)

I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)

The Surface Area is about 172.64114π

Answer:

D

Step-by-step explanation:

Answer:

athe correct answer of this question is 6x + 3y = 5

Answer:

nos etu  mdei

Step-by-step explanation:

Answer:

33in squared, so B

Step-by-step explanation:

the area of a triangle is (Base x height)/2

The area of a square is just length x width

Now solve

since each triangle is the same and there a 4 triangles do

4(3x4) which is 4(12)

4 x 12= 48

48/2= 24

3 x 3 for the square

24+9=33

Hope this helps!

Answer:

[tex] - 1710[/tex]

Step-by-step explanation:

[tex] - 114 \times 15 \\ = - 1710[/tex]

Answer:

1. p=6

2. open

3. 3x = 12

Answer:

x = 49

Step-by-step explanation:

This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.

Given the mathematical expression and data;

y = 1/√x

y = 7 and x = 64

First of all, we would find the constant of proportionality, k;

y = k/√x

7 = k/√64

7 = k/8

k = 7 * 8

Constant, k = 56

Now, to find the value of x when y = 8

y = k/√x

Substituting the values, we have;

8 = 56/√x

Cross-multiplying, we have;

8 * √x = 56

√x = 56/8

√x = 7

Taking the square of both sides, we have;

(√x)² = 7²

x = 49

Answer:

yes

Step-by-step explanation:

Answer: 44

Step-by-step explanation:

Answer:

3(2)+7(2)-9(2)+4(2)+10+12(2)

6+14-18+6+10+24

60-18

42

Answer:

Hope it helps

Step-by-step explanation:

3/4(7/7)=21/28

1/2(8/8)=8/16

4/9(2/2)=8/18

2/5(9/9)=18/45

6/3(6/6)=36/18

3/2(7/7)=21/14

PLS RATE AS BRAINLIEST

Answer:

where's the equation? your question is missing some parts.

Step-by-step explanation:

Answer:

y = 10x + 3

Step-by-step explanation:

Answer:

try dividing 161616 with 7 but I don't know what to do with the 6 sorry

Answer:

y=−1.5x−7

Step-by-step explanation:

mr. mole is descending as a constant rate, which means a linear equation. So, we must put it into slope-intercept form: y=mx + b, with m being slope or constant rate, and b being y-intercept

Step-by-step explanation:

5m-4-m+2

Simplifying

4m - 2

Hope it helps :)❤

Answer:

t = (p - 1/2)/3

Step-by-step explanation:

p = 4t + 1/2 - t​

combine like terms:

p = 3t + 1/2

subtract 1/2 from each side of the equation:

3t = p - 1/2

divide both sides by 3:

t = (p - 1/2)/3

Answer:

x= 3/4

Step-by-step explanation:

x-1/4=1/2

 +1/4  +1/4

x=3/4

Answer:

look at the picture i sent..........

Answer:

By decreasing the production time for textiles

Step-by-step explanation:

Answer:

. (a) A scientist is doing an experiment on bacteria. She finds that the number ofbacteria in a test tube increase at a rate of 0.9% per hour.At 12 noon there are 4500 bacteria.At 3 pm, how many bacteria will be present? Give your answer to 3 significantfigures.

12pm 4500 bacteria1pm 4500 x 1.009 bacteria 2pm 4500 x 1.009 x 1.009 bacteria3pm 4500 x 1.009 x 1.009 x 1.009 bacteriaTherefore at 3pm there are 4620 bacteria present.

Answer: 4620 (3)(b) In another experiment with the same bacteria, the scientist counts 3000 bacteria.How many bacteria were there two hours prior to this measurement?Give your answer to 3 significant figures.

Now 3000 bacteria1 hour ago 3000 ÷ 1.009 bacteria 2 hours ago 3000 ÷ 1.009 ÷ 1.009 bacteriaTherefore 2 hours ago there were 2950 bacteria present

Answer: 2950

Step-by-step explanation:

Answer:

C. a = 1, b = 8, c = -3

Step-by-step explanation:

.........

Answer:

12.25 un

Step-by-step explanation:

-the formula for the area of a triangle is A=(1/2)bh or Area=(1/2)×Base×Height

to find the base you need to take 7.5 and subtract 2.5 the divide in half for each base of the triangles to get 2.5 for the bases.

then take your formula and multiply:

0.5×2.5×2.5=3.125×2=6.25 and you get the area of the triangles.

then do the area of the center square which is:

2.5×2.5=6 for the center

then add:

A=6.25+6=12.25

Answer:

look at the picture i sent

Answer:

0

Step-by-step explanation:

use mathaway :D

Answer:

Each friend will get a half of a sandwich

Step-by-step explanation:

1 friend            1 friend

1 friend            1 friend

(split the two sandwiches in half)

Now you have 4 halfs to give to your 4 friends

Answer:

4(10+9) - 40 + 36

9(5+2) - 45 + 18

3(12+7) - 36 + 21