The amount of a sample remaining after t days is given by the equation p(1) - al2where a is the initial amount of
the sample and h is the half-life, in days, of the substance. a sample contains 60% of its original amount of fermium-
257. the half-life of fermium-257 is about 100 days. about how old is the sample?
52 days
60 days
74 days
136 days

Answer:

Step-by-step explanation:

Given equation:

To solve the equation, the L.H.S must be equivalent to the R.H.S. To prove that L.H.S is equivalent to R.H.S, we have to know the value of "y".

The value of the y variable can be found by isolating the variable from its coefficient. In this equation, the y-variable can be isolated by dividing both sides by four. This cancels the coefficient, isolating the y-variable on one side of the equation.

Once the y-variable has been isolated, we can simplify the other side of the variable. The expression/variable/number obtained, on the other side of the equation, is the value of the y-variable.

Therefore, the value of y is 3.

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Hey there!

4y = 12

DIVIDE 4 to BOTH SIDES

4y/4 = 12/4

SIMPLIFY IT!
y = 12/4

y = 3

Therefore, the answer should be: y = 3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

7[tex]a^{2}[/tex] - 2a + 6  - ( -5[tex]a^{2}[/tex] + 3 )

7[tex]a^{2}[/tex] - 2a + 6 + 5[tex]a^{2}[/tex] - 3

12[tex]a^{2}[/tex] -2a +3

Answer:

[tex]\bf 5a^2+5a+3[/tex]

Step-by-step explanation:

[tex]\sf \left(7a-2a+6\right)-\left(-5a^2+3\right)[/tex]

[tex]\sf 7a-2a+6-\left(-5a^2+3\right)[/tex]

Combine like terms:-

[tex]\sf 5a+6-\left(-5a^2+3\right)[/tex]

Apply Distributive property:-

[tex]\sf 5a+6+5a^2-3[/tex]

Comnine like terms:-

[tex]\sf 5a^2+5a+6-3[/tex]

[tex]\sf 5a^2+5a+3[/tex]

Answer:

94.5 is your answer bc u have to divide to get your answer for your thing

Answer:

in the following diagram DE=6m,EG=10m,FG=8

calculate the length of the following

DG

Answer:

20 in²

Step-by-step explanation:

Divide the shape into two rectangles (see attached image)

Area of a rectangle = width × length

Area of rectangle 1

⇒ area = 2 × 3

            = 6 in²

Area of rectangle 2

⇒ area = (5 - 3) × 7

            = 2 × 7

            = 14 in²

Total area

Total area = area of rectangle 1 + area of rectangle 2

                 = 6 + 14

                 = 20 in²

Area of vertical rectangle:-

Area of horizontal rectangle

Total:-

Answer:

9x² - 25 = (3x - 5)(3x + 5)

Step-by-step explanation:

(a + b)(a - b) = a² - ab + ab - b² = a² - b²

a² - b² = (a + b)(a - b)

Answer:

1.3kg/m^3

Step-by-step explanation:

Volume of cylinder=πr^2h

V=πx4^2x12

V=192π

192π=603.186m^3

Density=Mass/volume

D=800/603.186

D=1.3

Notice that the dividend [tex]8y^2-12y+4[/tex] has tree terms with [tex]a=8y^2[/tex], [tex]b=-12y[/tex], c [tex]c=4[/tex]

Now, to divided our dividend [tex]8y^2-12y+4[/tex] by the monomial (single term) [tex]4y[/tex], the easiest thing to do is divide each term of the dividend by the monomial:

[tex]8y^2-12y+4[/tex] ÷ [tex]4y[/tex] = [tex]\frac{8y^2-12y+4}{4y}=\frac{8y^2}{4y}-\frac{12y}{4y}+\frac{4}{4y}=2y-3+\frac{1}{y}[/tex]

After performing the division we get that now [tex]a=2y[/tex] and [tex]b=-3[/tex]

We can conclude that the correct answer is a = 2y and b = –3

Answer:

the bigger the handspan the more jolly ranchers they can pick up with one hand

Step-by-step explanation:

2 + 5^2 / (30 - 5) + 3 = 6

---

Hope this helps! :)

Given:

Given that the radius of the circle is 2 inches.

We need to determine the area of the remaining square.

Area of a square:

Given that each circle has a radius of 2 inches.

Then, the diameter of each circle is 4 inches.

Hence, the side length of the square is 2 × 4 = 8 inches.

The area of the square is given by

[tex]A=s^2[/tex]

[tex]A=8^2[/tex]

[tex]A=64[/tex] [tex]in^2[/tex]

Thus, the area of the square is 64 square inches.

Area of the four circles:

The area of one circle is given by

[tex]A=\pi r^2[/tex]

Substituting r = 2, we have;

[tex]A=4\pi[/tex]

Thus, the area of one circle is 4π in²

The area of 4 circles is 4 × 4π =16π in²

Hence, the area of the 4 circles is 16π in²

Area of the remaining square:

The area of the remaining square is given by

Area = Area of the square - Area of four circles.

Substituting the values, we get;

[tex]Area=64-16\pi[/tex]

Thus, the area of the remaining square is (64 - 16π) in²

Hence, Option c is the correct answer.

Answer:

C. (64 – 16π) in.2

Step-by-step explanation:

Answer: 1.3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the angles are adjacent angles on a straight line and sum to 180°, so

5x + 4x = 180

9x = 180 ( divide both sides by 9 )

x = 20

then

∠ MTQ = 5x = 5 × 20 = 100°

∠ GTQ = 4x = 4 × 20 = 80°

Answer:

B

Step-by-step explanation:

y+1>2(x-2)

distribute the right side

y+1>2x-4

minus 1 on both sides

y>2x-5

slope is 2/1

y intercept is -5

> means dotted line and shaded in to the left

:)

Answer:

Nothing

Step-by-step explanation:

You can't divide 8 to equal 3 because 3 is an odd number and 8 is an even number.

:)

Answer:

-5m-3

Step-by-step explanation:

step 1 Collect like terms.

3(5m+2)-20m+(-14+5)

step 2 Simplify.

3(5m+2)-20m-9

step 3 Expand by distributing terms.

15m+6-20m-9

step 4 Collect like terms.

(15m-20m)+(6-9)

step 5 Simplify.

-5m-3

Answer:-5m - 3

Step-by-step explanation:

1) Distribute

3(5m + 2) - 20m - 14 + 5

15m+6 - 20m - 14+5

2) Add the numbers

15m+6 - 20m- 14+5

15m-3 - 20m

3) Combine like terms

15m - 3-20m

Answer

-5m - 3

Hope this helps

Answer:

See the attachment!

The probability that the sum of your rolls is 5 or higher is 13/18

In a roll of two fair die, we have the following parameters:

So, the probability is:

P = 26/36

Simplify

P = 13/18

Hence, the probability that the sum of your rolls is 5 or higher is 13/18

Read more about probability at:

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Answer:

0.1

Step-by-step explanation:

total number of marbles= 2+4+8=14 marbles

probability of getting 2blue

= 4/14×3/13= 4×3/14×13=12/182= 0.06593

to the nearest tenth= 0.1

Answer:

6912cm³

Step-by-step explanation:

volume is equal to length multiplied by width multiplied by height so if we multiply the three it will give us a volume of 6912cm³

Answer:

a) 6912 cm³

b) 192 cm³

Explanation:

Volume of rectangular prism = Length × Width × Height

Part A

Here Volume: 32 × 72 × 3 = 6912 cm³

∴ The volume of the chocolate slab is 6912 cm³.

Part B

total volume ÷ total students = 6912 ÷ 36 = 192 cm²

Each student receives 192 cm³ of chocolate.

Answer:

B. f(x) = 176x + 10,580

Step-by-step explanation:

The y-intercept is about 10,580.

The slope is about 176

You can get the slope by subtracting 10925-10600 and then dividing the answer by 2

Answer:

2) option (d)

3) option (c)

4) option (b)

5) option (b)

6) option (a)

Answer:

400 students

Step-by-step explanation:

64 - 16%

? - 100%

(100*64)/16

= 400

is equal to

=

hope it helps...!!!

Answer:

Your answer would be C, =

Step-by-step explanation:

I got the answer wrong so go off of the other persons.

Answer:

8.5 sq cm

Step-by-step explanation:

5x3.4=17÷2=8.5

Answer: There are 4 more wrenches in the toolbox than the screwdrivers.

Step-by-step explanation: Add the 6 wrenches Sid put in the toolbox with the 8 wrenches Bella added to get 14 wrenches in total. Then, subtract the 10 screwdrivers from the 14 wrenches to get 4 wrenches.

Answer:

you gotta show a picture of the table in order for us to know what's missing from it

When d = -1, the value of y is 300 acres means that the area burned in the fire was 300 acres. When d = -3, the value of y is 1.17 acres means that the area burned in the fire was only 1.17 acres three days

An equation is an expression that shows the relationship between two or more numbers and variables.

we can use the given equation y = (4,800)2^d and substitute the values of d in the table to get the complete table.

Now the equation y = (4,800)2d for d when y = 4,800 and then subtract 7 from that value.

(4,800)2d = 4,800

2d = 1

d = 0.5

The fire had burned for  12 hours, before it measured 4,800 acres.

To determine the area the fire had burned a7 days before this measurement, we will then substitute d = -6.5 into the equation:

y = (4,800)2(-6.5) ≈ 0.00025 acres

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Bobby will need additional 20 friends to help finish cleaning in time.

The rate at which Bobby and his 9 friends are cleaning the house is determined as follows;

10 person ------> 8 hours

1 person -------->?

= 10 x 8 = 80 hours/person

When the parents are 2 hours from the house, Bobby will more friends working at the same rate to complete it in 2 hours time.

During this period Bobby and his friends have worked for 2 hours remaining 6 hours.

New rate;

10 person ------> 6 hours

1 person -------->?

1 person = 10 x 6 hrs = 60 hours per person

2 = 60/x

x = 60/2

x = 30 persons

Thus, Bobby will need additional 20 friends to help finish cleaning in time.

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In order to achieve his goal of paying the credit debt off in 24 months, B. Gio can eliminate $62.57 from Entertainment/Shopping.

If Gio is paying $105, the number of months that he will be able to pay back the debt in, can be found using credit card debt calculators to be 3 years and 10 months.

In order to pay back his credit card debt in 24 months, the minimum amount he needs to pay is:

= $167.57 per month

Considering that he is currently paying $105, the amount extra that he needs to pay is:
= 167.57 - 105

= $62.57

This can be acquired from Entertainment/ Shopping.

In conclusion, option B is correct.

Find out more on credit card repayment at https://brainly.com/question/1891029.

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Answer:

2.4 feet

Step-by-step explanation:

[tex] \frac{5}{6} w = 2[/tex]

[tex]w = 2 \times \frac{6}{5} = \frac{12}{5} = 2.4[/tex]