A radioactive isotope has a half-life of 15 hours. Find the amount of the isotope left from a 160-milligram sample after 90 hours. If necessary, round your answer to the nearest thousandth.

Answer:

5400

Step-by-step explanation:

the answer is B. I need 20 characters

Step-by-step explanation:

All you do is add them all up but tbh that picture could use some work and maybe when you fix it ill help you then .So the square unit of this picture is 6

Answer:

-1

Step-by-step explanation:

The limit of a function f(x) as x tends to 'a' is obtained by substituting the value of a into f(x)

Here, f(x) = x ; as x - - > - 1

Limit of f(x) = - 1

Answer:

14 students

Step-by-step explanation:

Given

Let:

[tex]b \to[/tex] read a book

[tex]t \to[/tex] watched TV

So, we have:

[tex]n = 50[/tex] -- total

[tex]b = 16[/tex]

[tex]t = 41[/tex]

[tex]none = 7[/tex]

Required

Students that did both (x)

This is calculated using:

[tex]Total = Books\ only + TV\ only + Both + None[/tex]

So, we have:

[tex]n = (b - x) + (t - x) + x + none[/tex]

This gives:

[tex]50 = (16 - x) + (41 - x) + x + 7[/tex]

Open brackets

[tex]50 = 16 - x + 41 - x + x + 7[/tex]

[tex]50 = 16 - x + 41 +7[/tex]

Collect like terms

[tex]x = 16 - 50 + 41 +7[/tex]

[tex]x = 14[/tex]

Hence, 14 students did both

Answer:

the probability is 2/12

you might have to explain what replacement means

me, if you can also help me!

9514 1404 393

Answer:

  (x, y) = (61/23, 36/23)

Step-by-step explanation:

We assume you intend the equations to be ...

Then in general form, they are ...

  5x -4y -7 = 0

  2x +3y -10 = 0

The solution using the "cross multiplication method" is ...

  1/(15 +8) = x/(40+21) = y/(-14 +50)

  (x, y) = (61/23, 36/23)

_____

Comment on "cross multiplication method"

When the coefficients from the general form equations are written as a 2×4 array with the first and last columns the same ...

  [tex]\left\{\begin{array}{cccc}5&-4&-7&5\\2&3&-10&2\end{array}\right\}[/tex]

the solution is 1/d1 = x/d2 = y/d3, where d1, d2, d3 are the determinants of successive pairs of columns.

Answer:

Let price of drink be x

price of tub y

You have 4x+2y=32.5 (1) and

x = y -3.5 (2)

Plug for x from (2) into (1):

4(y-3.5) + 2y = 32.5

4y -14 +2y = 32.5

6y = 14+32.5

y = (46.5)/6 = $7.75 the price of tub

x= y-3.5 = 7.75 - 3.5 = $4.75

Answer:

u² + 2u + 1

Step-by-step explanation:

In the question it's asking to find the the number in the blank to make the expression a perfect square.

Let the number in the blank be 'x'.

To guess 'x' , use the algebraic identity :- [tex](a + b)^2 = a^2 + (2 \times a \times b) + b^2[/tex]

While matching the expression with identity , the expression will look like this :- u² + 2ux + x²

In the expression given in the question , it's "2u" but after matching the expression with identity , it is found to be "2ux".

⇒ x = 1 (∵ If x will be 1 , then 2ux = 2×u×1 = 2u)

⇒ x² = 1

∴ The number in the blank is 1.

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

You're welcome!

Answer:

D. ASA

Step-by-step explanation:

In the figures given,

<A and <B in ∆ABC are congruent to corresponding angles <X and <Y in ∆XYZ in ∆XYZ.

Also, an included side AB in ∆ABC is congruent to a corresponding included side XY in ∆XYZ.

According to the ASA triangular theorem, two ∆s are congruent to each other when they have two corresponding angles in each of the triangles that are congruent to each other and an included side that is also congruent to each other.

Therefore, ∆ABC is congruent to ∆XYZ based on the ASA theorem.

Answer:

- 5

Step-by-step explanation:

12/6 + 5 - 4(6) + 12

12/6 + 5 - 24 + 12

2 + 5 - 24 + 12

7 - 24 + 12

7 - 12

- 5

Answer:

when

k= 12 and v = 6

k/v+ 5 – 4v + 12

=12/6+5-4×6+12

=2-24+12+5

=-10+5

=-5 is a required answer.

Answer:

588200

Step-by-step explanation:

3% of 826,000 is 24780, 24780 x 10 years is 247800

826,000-247800= 588200

Answer:

x=50

Step-by-step explanation:

It is a line so it should be 180 degrease. You already have two of the angles and to find the third (x) you just need to subtract them from 180. 180-105=75, and 75-25 is 50, so x is 50.

Answer: x=50 degree

Step-by-step explanation: angle in a straight line is equal to 180 degrees.

Given;

25 degrees &

105 degrees.

180– (105+25)

180– 130

= 50degrees

I think you forgot to attach the picture w/ the question . .

Answer:

sqr3 sin x/2

+ cos x = 1 if 0º< < 360°.  

Step-by-step explanation:

Answer: Annual Fee

Step-by-step explanation:

The options include:

a. Late Payment Fee

b. Balance Transfer Fee

c. Cash Advance Fee

d. Annual Fee

The reason for the fee of $69.45 charged will be due to the late payment fee which is as a result of failing to make a payment by a due date.

Other reasons for the fee include the balance transfer fee which is the charged by the lender in order to transfer an existing debt that's incurred by another lender. The cash advance fee is also another reason for the charges.

Therefore, the correct answer to the question is annual fee.

Step-by-step explanation:

just pick the favorite songs

Answer:

Volume of a cylinder.

Step-by-step explanation:

The given equation is :

[tex]V=\pi r^2 h[/tex]

Where

r is the radius

h is the height

This equation is used to find the volume of a cylinder.

For example, a cylinder having radius of 7 units and height of 10 units, its volume will be :

[tex]V=\dfrac{22}{7}\times 7^2\times 10\\\\V=1540\ \text{unit}^2[/tex]

So, the given equation is used to find the volume of a cylinder.

Answer:

0.15

Step-by-step explanation:

Because 5/8 divided by 4 is 0.15.

Answer:

n = 2

Step-by-step explanation:

5n - 12 = -3n + 4

5n + 3n = 4 + 12

8n = 16

n = 2

Answer:

5n-12=-3n+4

5n+3n=4+12

8n=16

n=16/8

n=2

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The value are equivalent to the fraction below is 3^2, the correct option is F.

A fraction represents a part of a number or any number of equal parts.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that;

3^5/3^8

Now,

A. 3^-3: This is equivalent to 1/3^3 by moving the negative exponent to the denominator. Then we can simplify 1/3^3 to 1/27 by multiplying 3 by itself 3 times. This is not equivalent to 3^5 / 3^8, since 1/27 is not equal to 3^-3.

B. (1/3)^2: This is equivalent to 1/3^2 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^2 to 1/9 by multiplying 3 by itself 2 times. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.

C. (1/3)^8: This is equivalent to 1/3^8 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^8 to 1/6561 by multiplying 3 by itself 8 times. This is not equivalent to 3^5 / 3^8, since 1/6561 is not equal to 3^-3.

D. 1/9: This is equivalent to (1/3)^2 by writing it as a power of a fraction. Then we can apply the same steps as in option B and get back to 1/9. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.

E. 3^14: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction. We cannot simplify it further without changing its value.

F. 3^2: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction.

Therefore, by the given fraction the answer will be 3^2.

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