please solve this by using formula ​

Step-by-step explanation:

The equation used to determine the amount of radioactive material left is

[tex]A = A_0(2)^{-t/HL}[/tex]

We are have the following given quantities:

t = 30 seconds

[tex]A_0[/tex] = 50 grams

HL = 6 seconds

Plugging these into our equation we get

[tex]A = (50\:\text{grams})(2)^{-(30s/6s)}[/tex]

[tex]\:\:\:\:= (50\:\text{grams})(0.03125)[/tex]

[tex]\:\:\:\:= 1.56\:\text{grams}[/tex]

Answer:

$354 divided by 12 equal payments equals $29.50 per month

Step-by-step explanation:

$354 divided by 12 months (also 12 equal payments) = $29.50 per month.

Answer:

Step-by-step explanation:

f(x) =2x^2-7x-4

=2x^2-(8-1)x-4

=2x^2-8x+x-4

=2x(x-4) +1(x-4)

=(2x+1) (x-4)

Answer:

im not sure but ik u do 36x2=72-5=67 so thats how many rocks he had then he found 5 and gave away half leaving 36 bc 72/2=3 how you would write that i am not to sure but hope i helped in getting you closer to the answer.

Step-by-step explanation:

Answer:

C. 4 pounds

Step-by-step explanation:

Answer:

the 4 in the tens place is ten times the value of the 4 in the ones place

Step-by-step explanation:

please give brainliest

Answer:

Answer: (√3)/2

Step-by-step explanation:

[tex] \sin(35 \degree) \cos(25\degree) + \cos(35\degree) \sin(25\degree) \\ [/tex]

from trigonometry identities:

[tex] \sin(a + b) = \sin(a) \cos(b) + \cos(a) \sin(b) \\ [/tex]

a » 35°

b » 25°

Therefore;

[tex] = \sin(35\degree + 25\degree) \\ = \sin(60\degree) \\ \\ = \frac{ \sqrt{3} }{2} [/tex]

Answer:

Below

Step-by-step explanation:

To find Ken's leftover amount of money, all you need to do is subtract what he spent from his initial amount :

     $30 - $5 - $6.50 - $7.21 = $11.29

So, Ken has $11.29 left after he goes to the fair

Hope this helps! Best of luck <3

Answer:

Step-by-step explanation:

Given :

x-y = 3                                equation(i)

2x + 3y = 4                           equation(ii)

Now,

x - y = 3

x = 3 + y

substitute the value of x in equation (ii)

2x + 3y = 4

2(3 + y) + 3y = 4

6 + 2y + 3y = 4

6 + 5y = 4

y = -2/5

Answer:

56.32

Step-by-step explanation:

The hundredths place is the second place after the decimal point.

Side note:

All you need to do is if the hundredths is less than 5, you round down. If it's greater than or equal than 5, then you round up.

9514 1404 393

Answer:

  1125

Step-by-step explanation:

The "contribution margin" of each product is 80% of its unit price, or $5.60. In order to break even, the total contribution margin must match the fixed costs.

  $5.60n = $6300

  n = 6300/5.6 = 1125

The company should sell 1125 units per month to break even.

Step-by-step explanation:

[tex] {x}^{3} + ( \frac{1}{a} )y = xy + 9[/tex]

[tex]x {}^{3} + \frac{y}{ay} = xy + 9[/tex]

[tex]x {}^{3 } = xy + 9 - \frac{y}{ay} [/tex]

[tex] {x}^{3} - 9 = xy - \frac{y}{ay} [/tex]

[tex] {x}^{3} - 9 = y(x - \frac{1}{a} )[/tex]

Divide both sides by x-1/a

[tex] \frac{x {}^{3} - 9}{x - \frac{1}{a} } = y[/tex]

Answer:

Value Added Tax Is The Correct Answer!

Step-by-step explanation:

The Value Added Tax, or VAT, in the European Union is a general, broadly based consumption tax assessed on the value added to goods and services.

Dont Forget to Mark Thanks!

Have a good day! :)

Answer:

Value Added Tax........

Answer:

0.81

Step-by-step explanation:

Answer:

0.81818181818181....

Step-by-step explanation:

It is irrational

Answer:

Without using a calculator, determine where the following numbers go on the number line.

Be sure to label your number line.

V5,

ထlယ

1.3, 4%, i, 1.70, V8, 1.07, 32, -38, T

0

Please answer the bottom question also

Answer: 156

Step-by-step explanation:

Rows of seat                   = 48

Each row contains seat = 03

                                        = 48 x 03

                                        = 144

Front seats                     = 144 + 12

                                        = 156

Answer:

16 seats

Step-by-step explanation:

the first row has 12 seats while the rest have 16 seats

Answer:

May I ask what is Rs???????

9514 1404 393

Answer:

  3 drops of yellow

Step-by-step explanation:

The proportional relationship is ...

  yellow/red = 8/24 = ??/9

Multiplying by 9, we get ...

  ?? = 9(1/3) = 3

3 drops of yellow are required when 9 drops of red are used.

The number of non-medicine that can be sent is approximately 14 boxes.

From the given statement we can form the following equation:

let the worth of a boxes of medicine = x

3x + 7(300) = 9,000

solve for x:

3x + 7(300) = 9,000

3x + 2,100 = 9,000

3x = 9,000 - 2,100

3x = 6,900

[tex]x = \frac{6,900}{3} = 2,300[/tex]

A box of medicine worth $2,300

If only 2 boxes of medicine will be sent, then the number of boxes of non-medicine is calculated as;

let the worth of all the boxes of non-medicine = y

2(2,300) + y = 9,000

4600 + y = 9,000

y = 9,000 - 4600

y = 4,400

Now we solve for the number of boxes of non-medicine as follows:

n(300) = 4,400

[tex]n= \frac{4400}{300} = 14.67 \approx 14 \ boxes \ of \ non-medicine \ can \ be \ sent[/tex]

Thus, the number of non-medicine that can be sent is approximately 14 boxes.

Learn more here: https://brainly.com/question/17765207

Answer:

Step-by-step explanation:

Answer: Interval notation: (−∞, 3) ( − ∞, 3) Any real number less than 3 in the shaded region on the number line will satisfy at least one of the two given inequalities. Example 4: Graph and give the interval notation equivalent: x<3 or x≥−1. x < 3 or x ≥ − 1. .

The statement in the mathematical form will be x ≤ 3. Then the inequality in the interval notation will be [3, ∞).

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

x is less than or equal to 3.

Convert the statement into a mathematical inequality. Then we have

x ≤ 3

The statement "x is less than or equal to 3" in the mathematical form will be x ≤ 3.

Thus, the inequality in the interval notation will be [3, ∞).

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Answer:

8

Step-by-step explanation:

Just count the spaces between them.

Answer:

2.5v + 85

v = 12

Step-by-step explanation:

115 - 85 = 30

30 / 2.5 = 12 (He needs to go 12 times)

Answer:

No.

Step-by-step explanation:

An integer is a positive or negative whole number. Because -199.46 is a decimal, it is not an integer.

Answer: No

Step-by-step explanation: An integer is a whole number that isn't a fraction, or a number that isn't a fraction. Fractions and decimals are not included in the set of integers, so no, -199.46 is not an integer.

9514 1404 393

Answer:

  (x +4)² +(y +3)² = 49

Step-by-step explanation:

The radius is half the diameter, so is 14/2 = 7.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

The equation of the circle with center (-4, -3) and radius 7 is ...

  (x +4)² +(y +3)² = 49

Answer:

In general, to round to a certain place value, look at the digit to the right of that place value and make a decision. Example: 5.1837 to the nearest hundredth would be 5.18 (round down since 3<5 ), but to the nearest thousandth, it is 5.184 (round up because 7≥5 ).

Step-by-step explanation:

Deductive reasoning is a basic form of valid reasoning. Deductive reasoning, or deduction, starts out with a general statement, or hypothesis, and examines the possibilities to reach a specific, logical conclusion, according to California State University.

HOPE IT HELPS ✨

Answer:

f(x)= x/3+4 and g(x) = 3x - 4​

Step-by-step explanation: