The half-life of a certain radioactive material is 36 days. An initial amount of the material has a mass of 487 kg. Write an exponential function that models the
decay of this material. Find how much radioactive material remains after 5 days. Round your answer to the nearest thousandth.
Ο Α.
;0.318 kg
y = 487
B.
: 0.847
kg
y=
oc.
: 442.302 kg
y = 487
s(1
»=2(43);
OD
: 0 kg

Answer:

Step-by-step explanation:

The burger was 3 dollars and 50 cents . The two order of fries were 3 dollars

Answer:

$3.50

Step-by-step explanation:

first you take the amounts you do know, which is the total amount and the cost of one order of fries.

you know he got 2 fries, so thats 1.50 times 2.

1.50 x 2 = 3.00

then you subtract that from the total

6.50 - 3.00 and you're left with 3.50

Answer:

Step-by-step explanation:

The number of real solution of a quadratic equation can be found from the number of x-intercepts on the graph. If the curve passes through the x-axis twice, (2 x-intercepts), then the equation has two real solutions.

If it passes through once, (the vertex is on x-axis), then there is one real solution, and if it does not touch the x-axis at all (floating above it or below it), then it has no real solutions.

Hope this helped!

Answer:

12

Step-by-step explanation:

Using the formula

A=πr^2

Solving for r

r=A

π=452.39

π≈12.00001

Answer:

The radius is equal to 12 yards

Answer:8

Step-by-step explanation:

Answer:

the answer is c.

Step-by-step explanation:

add 91 ti the -87 and then divide 3 ,to make the x by itself, by the answer you get when you add. Then do the same with the other equation.

Answer:

B ( x > 4/3)

Step-by-step explanation:

Khan academy. PLZ GIVE ME BRAINLIST and do NOT pick the answer above

Answer:

66 degrees

Step-by-step explanation:

I dont remember the name of this law but ik its right

Answer:

Look below.

Step-by-step explanation:

1.) Alternate exterior

2.) Alternate interior

3.) Same-side interior

4.) Vertical

5.) Corresponding

6.) Alternate exterior

Answer:

66,114 pounds of bananas.

Step-by-step explanation:

There are 12 months in a year, multiply 5,512 and 12 to get one year.

Answer:

The answer is B and D

Step-by-step explanation:

Answer:

[tex]\huge \boxed{\sf \bf x^2+10x+24}[/tex]

Step-by-step explanation:

Hello,

This is the same logic as your other question

-6 and -4 are roots and the leading coefficient is 1 so the quadratic equation is

[tex](x+4)(x+6)=x^2+10x+24[/tex]

Thanks

Answer:

D

Step-by-step explanation:

in y > 2x equation, the line will be dashed and u will shade above the line

Answer:

1

Step-by-step explanation:

Characters are developed in the passage through their actions. Therefore, option A is correct.

Characters are the people, animals, or entities portrayed in a literary work such as a passage, story, or novel. They are often the main focus of the narrative and drive the plot forward.

A character can be developed through various literary techniques such as actions. Their traits, motivations, and relationships with other characters help to create a deeper understanding of the story and its themes.

Well-developed characters often feel like real people, with complex personalities, histories, and emotions, which helps to engage the reader and create a sense of empathy or connection. Therefore, option A is correct.

Learn more about characters, here:

https://brainly.com/question/13141964

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✩ Answer:

 ✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*

  [tex]\bold{Hello~}\\\bold{Your~answer~is~below!}[/tex]

✩ Step-by-step explanation:

 ✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*

1.) [tex]6+7i[/tex]:

✺ The modulus of a complex number is:

✺ The modulus of [tex]6+7i[/tex] is:

2.) [tex]10 + 2i[/tex]:

✺ The modulus of a complex number is:

✺ The modulus of [tex]10 + 2i[/tex] is:

3.) [tex]6+7i+10 + 2i[/tex]:

✺ Combine the real and imaginary parts in [tex]6+7i+10+2i[/tex]:

✺ Do the additions in [tex]6+10+(7+2)i[/tex]:

✺ Solve the complex modulus using the formula:

✺  The modulus of [tex]16+9i[/tex] is:

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Answer:

Step-by-step explanation:

x - the smallest of three consecutive integers (the first)

x+1 - the next of three consecutive integers (the second)

x+2 - the last of three consecutive integers (the third)

3(x+2) - three times the third integer

3(x+2)+x - three times the third increased by the first

5(x+1)   - five times the second tnteger

5(x+1)-8  - 8 less than five times the second

3(x + 2) + x = 5(x + 1) - 8

3x + 6 + x = 5x + 5 - 8

   4x + 6 = 5x - 3

       -4x        -4x

        6 = x - 3

         x = 9

x+1 = 10

x+2 = 11

Check:  3×11+9 = 33+9 = 42,   5×10-8=50-8 = 42

Domain = {-3, -2, 0, 2, 4}

Range = {-4, 0, 2, 3, 5}

The domain is the set of all possible x values, so we just list all the unique x coordinates of each point. The y coordinates of each point is listed to form the range. Ignore any duplicates.

I think the answer is 23

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer: 20 Minutes

Step-by-step explanation:

If you are traveling double the speed, the end time is going to be half of the original time.

Answer:

what? better explanation

Answer: yes the green one rotate a 180 is correct

Step-by-step explanation: only you need see the question and you see if is correct

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:32  times 4 -  8 in degrees

Step-by-step explanation:

Since b = x, hence the value of b is 30 degrees

For two angles to be supplementary, the sum of the angles must be equal to 180 degrees

Given the angles

a = 30 + 2x

b = x

Equating the sum to 180

a + b = 180

30+2x + x = 180

30 + 3x = 180

3x = 180 - 30

3x  = 150

x = 30 degrees

Since b = x, hence the value of b is 30 degrees

Learn more here: https://brainly.com/question/22309882

Answer:

434 people

Step-by-step explanation:

10% of 310 is 31

so, 31 × 14 days is 434

so its 434 people

9514 1404 393

Answer:

  length: y = 5

  width: x = 4

Step-by-step explanation:

The perimeter is twice the sum of length and width:

  P = 2(L+W)

  18 = 2(y +x) . . . . . using the given values

The difference in dimensions can be expressed as ...

  y -x = 1

When the above two equations are graphed, we see the solution is ...

  (x, y) = (4, 5)

Given parameters:

Charge per month  = $65

Percentage on rent= 6%

Amount paid by Jack per month = $164

Unknown:

Monthly rent on his property = ?

Solution:

  Monthly rent on his property can be found by;

  Amount paid by Jack per month = Charge per month + 6% of monthly rent

Let the monthly rent = x ;

  So;

              164  = 65 + [tex]\frac{6}{100} x[/tex] x

              164 - 65  = [tex]\frac{6x}{100}[/tex]

                   99  = [tex]\frac{6x}{100}[/tex]

                   6x = 9900

                    x = 1650

Monthly rent on his property is $1650

Step-by-step explanation:

The scale factor is the ratio between corresponding sides.

18 / 6 = 3

Find the other sides using the scale factor.

x / 9 = 3

x = 27

y / 10 = 3

y = 30

Answer:

not rational

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

119/8 is it in fractional form.

Answer:

b. x > 1

Step-by-step explanation:

remove the parentheses

cancel the equal terms on both sides of the inequality

collect like terms

devide the both sides

Answer:

Negative

Step-by-step explanation:

Negative-negative is always negative, and -1/3-4/5 is negative too. the second one, however, is positive.

Answer:

negative

Step-by-step explanation: