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3 years ago

Please help I need it ASAP!!!!

Mathematics

1 answer:

lbvjy [14]3 years ago

7 0

Answer:

1 correct

2 incorrect

3 incorrect

4 correct

hope this helps :)

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Suppose the half-life of a material is 10 days. You have one 1 kg of the material today. How much of the material would you have

boyakko [2]

Answer:

0.50 kg of the material would be left after 10 days.

0.25 kg of the material would be left after 20 days.

Step-by-step explanation:

We have been given that the half-life of a material is 10 days. You have one 1 kg of the material today. We are asked to find the amount of material left after 10 days and 20 days, respectively.

We will use half life formula.

$A=a\cdot(\frac{1}{2})^{\frac{t}{h}}$ , where,

A = Amount left after t units of time,

a = Initial amount,

t = Time,

h = Half-life.

$A=1\text{ kg}\cdot(\frac{1}{2})^{\frac{10}{10}}$

$A=1\text{ kg}\cdot(\frac{1}{2})^{1}$

$A=1\text{ kg}\cdot\frac{1}{2}$

$A=0.5\text{ kg}$

Therefore, amount of the material left after 10 days would be 0.5 kg.

$A=1\text{ kg}\cdot(\frac{1}{2})^{\frac{20}{10}}$

$A=1\text{ kg}\cdot(\frac{1}{2})^{2}$

$A=1\text{ kg}\cdot\frac{1^2}{2^2}$

$A=1\text{ kg}\cdot\frac{1}{4}$

$A=0.25\text{ kg}$

Therefore, amount of the material left after 20 days would be 0.25 kg.

6 0

3 years ago

at a school carnival , tickets can purchased to participate in different activisties the table shows the total cost for differen

Radda [10]

Answer:

the answer is 4

Step-by-step explanation:

4 0

3 years ago

The area of a rectangle is 70 m², and the length of the rectangle is 11 m less than three times the width. Find the dimensions o

11111nata11111 [884]

Step-by-step explanation:

the area of a rectangle is

length × width

in our case

length × width = 70 m²

length = 3×width - 11

we can use this second equation in the first and get

(3×width - 11) × width = 70

3×width² - 11×width - 70 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -11

c = -70

x = (11 ± sqrt((-11)² - 4×3×-70))/(2×3) =

= (11 ± sqrt(121 + 840))/6 =

= (11 ± sqrt(961))/6

x1 = (11 + 31)/6 = 42/6 = 7

x2 = (11 - 31)/6 = -20/6 = -10/3

the negative solution is not applicable for a length in an object.

so, only x1 = 7 m is our solution.

the width of the rectangle is 7 m.

the length = 3×width - 11 = 3×7 - 11 = 21-11 = 10 m

7 0

2 years ago

What is the slope of the equation y– 3 = -4(х – 5)? A. -4 B. -3 C. 20 D. 23

Rainbow [258]

Answer:

Your answer would be: A. -4

Step-by-step explanation:

Use the slope-intercept form y = mx+b to find the slope m.

4 0

4 years ago

Carlos received 84 votes. That was 3 of every 7 votes cast in the class president election. How many votes were cast?

Step2247 [10]

336 votes total.

if he got 84 votes 3/7 so you take 84 times 4 (i got four by subracting 3 from 7 and got the remaining votes) and you will get 336 votes. hope this helps! :)

5 0

3 years ago