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3 years ago

I need the answers to the following questions

Mathematics

1 answer:

Oliga [24]3 years ago

4 0

At death means x= 0, so on the graph you can see that (0, 500), so 500 carbon atoms are present at death.

Plug 11,240 in for t in the equation, and you are left with N(t) = 500(1/2)^2 = 125 carbon atoms.

See the graph point (25,000, 24.298)? That means that after 25,000 years 24.298 carbon atoms will be present. So the answer is 25,000 years.

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Find area of the figure

kirza4 [7]

Answer:

70 sq. in

Step-by-step explanation:

Area of the figure

= ( 10 x 5 ) + ( 5 x 4 )

= 50 + 20

= 70

= 70 sq. in

7 0

2 years ago

Simplify the expression: z8 * z-3

MissTica

Answer:

z^5

Step-by-step explanation:

z^8 * z^-3

Since we are multiplying exponents and the bases are the same, we can add the exponents

z^(8-3)

z^5

3 0

3 years ago

If the measure of angle 2 is 92 degrees and the measure of angle 4 is (one-half x) degrees, what is the value of x?

zavuch27 [327]

Answer: x = 184°

Step-by-step explanation: As we can see in the figure below, angles 2 and 4 are Vertical Angles, i.e., they are angles opposite each other when two lines cross. Vertical angles are always congruent.

Then,

m∠2 = m∠4

$92=x.(\frac{1}{2})$

$92=\frac{x}{2}$

Value of x is

$x=92(2)$

x = 184

The value of x is 184°.

4 0

3 years ago

Kate borrowed $400 from her friend. She will repay this amount plus 3 percent simple interest after one year. What is the total

tekilochka [14]

The answer is $412.

Let's first calculate simple interest. Simple interest (I) can be expressed as:
I = P * r * t
P - principal
r - rate
t - time period

It is given:
I = ?
P = $400
r = 3% = 0.03
t = 1 year

Therefore:
I = P * r * t = 400 * 0.03 * 1 = 12

The total amount Kate will repay is the principal amount (P) plus 3% simple interest (I):
P + I = 400 + 12 = $412

6 0

3 years ago

There is 2 and 3/4 punds of roast beef and 1 and 7/8 pounds of turkey and 2 1/16 pounds of salami if you must put 1/4 of pound o

rosijanka [135]

2 and 3/4 punds of roast beef 2 3/4 = (4x2) + 3 /4= 11/4 roast beef

1 and 7/8 pounds of turkey 1 7/8 = 15/8 turkey

2 1/16 pounds of salami 2 1/16 33/16 salami

if you put 1/4 of pound of meat
then 11/4 roast beef divided by 1/4 = 11/4 x4 = 11 sandwiches roast beef

15/8 turkey divided 1/4 = 15/8 x 4 = 15/2 = 7 sandwishes

33/16 salami divided 1/4 = 33/16 x 4 = 33/ 4 = 8 sandwiches

8 0

3 years ago