Pls last one and I’ll finally be able to sleep someone pls make sure it’s right

Answer:

After 3 hours there is left 22.5 grams of radioactive material.

Step-by-step explanation:

We can calculate the mass of radioactive material remaining after 3 hours, by using the decay equation:           

[tex]N_{t} = N_{0}*e^{-\lambda t}[/tex]     (1)

Where:

[tex]N_{0}[/tex]: is the initial mass = 180 g

[tex]N_{t}[/tex]: is the remaining mass after time t

λ: is the decay constant

The decay constant is given by:

[tex] \lambda = \frac{ln(2)}{t_{1/2}} [/tex]

Where [tex]t_{1/2}[/tex] = 1 h.

By entering λ into equation (1) we hve:

[tex] N_{t} = N_{0}*e^{-\frac{ln(2)}{t_{1/2}} t} [/tex]

[tex] N_{t} = 180 g*e^{-\frac{ln(2)}{1 h} 3 h} = 22.5 g [/tex]

Therefore, after 3 hours there is left 22.5 grams of radioactive material.

I hope it helps you!          

Answer: 4/5

Step-by-step explanation:

80%=

100% * 80/100 =

1 * 80/100=

80/100=

8/10=4/5

Answer: y=5x+ 10

Step-by-step explanation:

40-30/6-4=10/2=5

each time x moves 1 it moves 5 vertically so

4, 30

3, 25

2, 20

1, 15

0, 10

Answer:

the answer to this is 43.638 boi

Step-by-step explanation:

This is my answer to you question

10.76

Answer Step by Step

A. 2(6) - 5(-4) =

(12) - (-20) = 32

negative times negative equals positive

B. 4(-8) - 3(-4)

-32 - (-12) = -20

C. 3(-8) - 4 / (-4) =

(-28) / (-4) = 7

D. -4 - 3(6) / 3 - 5

(-22) / (-2) = -11

Answer:

6

Step-by-step explanation:

24/4=6

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

7 inches

Step-by-step explanation:

you divide 50 into 150 and then you get 3.5. then you take 3.5 and times it by 2 to get 7.

the area of the yellow figure is 45 square units.

The figure shaded in yellow can be decomposed in two simpler ones, a triangle of base of 4 units and height of 5 units, and a rectangle of 5 units by 7 units.

The area of the triangle is:

A = 4*5/2 = 10 square units

The area of the rectangle is:

A' = 5*7 = 35 square units.

Adding that we get:

A + A' = 10 square units + 35 square units = 45 square units.

Then the area of the yellow figure is 45 square units.

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Answer:

$9 per hour

Step-by-step explanation:

31.50/3.5 = 3150/350 = 630/70 = 63/7 = 9

Hope this helps!      :3

plz mark as brainliest!

Answer:

FG = 3

Step-by-step explanation:

let me know if you are still confused!

Answer:

£686.27 (nearest penny)

Step-by-step explanation:

100%+2% --- £700

102% --- £700

100% --- [tex]\frac{100}{102}[/tex] × £700 = £686.27 (nearest penny)

The length of the hypotenuse is 5.426 meter

Let the two shorter sides of the right angles triangle be denoted as x meters.

The formula for the area of right triangle is given as,

                     A = ab/2

  Where, a and b are the length of the shorter sides of the triangle

Also we have been given the area of the triangle which is 7.36 sq. meter

Thus ,    A = 7.36

             x^2/2 = 7.36

              x^2 = 14.72

                x = 3.84

Now according to the Pythagoras theorem,

   H = √P^2 + B^2

Where,  H = hypotenuse

               P = perpendicular

              B = base

Now putting the required values we get

    H = √x^2 + x^2

        = √2x^2

        = x√2

       = 5.426 meter

Hence the length of the hypotenuse is 5.426 meter

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Answer:

0.33333333333

Step-by-step explanation:

(0.83333333333)-(0.5)=0.33333333333

Answer:

the answer is 2/6 or 1/3 if needed to be simplified

when subtraction fractions, if they have the same denominator, you only have to subtract the numerators

Step-by-step explanation:

Answer:

[tex] \sf \large \frac{1}{18} {x}^{2} y[/tex]

Step-by-step explanation:

5xy/3/15x/2

= 1/18x²y

Answer: C. The lines intersect but are not perpendicular.

Step-by-step explanation:

The correct option is C, the lines intersect but are not perpendicular.

To determine which statement is true about the two lines whose equations are given below:

y = 3x + 2

y = -4x + 9

We can compare the slopes of the two lines. The slopes of these lines are 3 and -4 respectively.

Two lines are parallel if and only if their slopes are equal. Since the slopes of these lines are not equal, we can eliminate options A.

Two lines are perpendicular if and only if the product of their slopes is -1. The product of the slopes of these lines is -12, which is not equal to -1. Hence, we can eliminate options B.

Since the lines are neither parallel nor perpendicular, they intersect. To determine whether they intersect perpendicularly, we can compute the angle between them using the slopes.

The angle between two lines is given by the formula:

[tex]tan \theta = \dfrac{(m_2 - m_1)}{ (1 + m_1m+_2)}[/tex]

where m₁ and m₂ are the slopes of the two lines.

Substituting the slopes of the given lines, we get:

[tex]tan \theta = \dfrac{|(-4 - 3)} { (1 + (3 \times -4))|} \\[/tex]

tanθ = 7 / 11

Therefore, the correct option is C: the lines intersect but are not perpendicular.

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The missing equation of lines are:

y = 3x + 2

y = -4x + 9

Answer:

The algebraic expression is: [tex]8x-5=-1[/tex]

the number is: [tex]\mathbf{x=\frac{1}{2}}[/tex]

Step-by-step explanation:

Translating "Five less than eight times a number is equal to -1" into algebraic expression

Let the number = x

[tex]8x-5=-1[/tex]

Now solving the expression to find value of x

[tex]8x-5=-1\\Add\:5\:on\:both\:sides\\8x-5+5=-1+5\\8x=4\\x=\frac{4}{8}\\x=\frac{1}{2}[/tex]

So, the number is: [tex]\mathbf{x=\frac{1}{2}}[/tex]

In the given image:∠TUX ≅ ∠UXY - Alternate angles

So, in the given image:

Therefore, in the given image:∠TUX ≅ ∠UXY - Alternate angles

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The value of d is 2.

We are provided with the following equation,

4 + d = 6                                    

We are supposed to find the value of d in the above equation.

To solve the equation we need to apply basic mathematical operations. The steps that need to be followed to simply this equation are mentioned below,

4 + d = 6

To get the value of d we need to subtract 4 from both the sides of this equation. On substracting  4 from both the sides of this equation, we will get

4 + d - 4  = 6 - 4

⇒ d = 6 - 4

⇒ d = 2

Thus, the value of d in the equation 4 + d = 6 is 2.

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Let us consider,

A special [tex]8-[/tex]sided die is marked with the numbers [tex]1[/tex] to [tex]8[/tex].

The odd numbers on the die are [tex]1,3,5,7.[/tex]

The even numbers are [tex]2,4,6.[/tex]

For the experimental sequence of [tex]15[/tex] rolls.

There are [tex]9[/tex] odd number  out of 15, which is [tex](3,5,7,1)[/tex].

So the experimental  probability is,

       [tex]\frac{9}{15} =\frac{3}{5} \\\\=0.60\\[/tex]

[tex]\implies0.60=60[/tex] %

The theoretical probability given that there are odd numbers [tex](1,3,5,7)[/tex] out of [tex]8[/tex] on the dice should be [tex]50[/tex] %  because [tex]\frac{1}{2}[/tex] of the numbers are prime.

Thus,

The theoretical probability is [tex]50[/tex] % .

Then,

         [tex]60[/tex]%[tex]-50[/tex]%[tex]=10[/tex]%

Hence, the experimental probability of rolling an odd number is [tex]60[/tex]%, which is [tex]10[/tex] % more than the theoretical probability [tex]50[/tex]%.

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Answer:

60%,  10%

Step-by-step explanation:

Plato/Edmentum

Answer:

It 4000

Step-by-step explanation:

Answer:

theres no graph sorry, maybe if u upload it i can help

Step-by-step explanation:

6y = -24

y = -24/6

y = -4

I guess is the answer

Las comparaciones correctas son (c) ( 1/12 ) > ( 1/100 ) y (d) ( 1/4 ) > ( 1/6 ).

Considere las comparaciones,

Para la opción (a),

( 1/8 ) > ( 1/2 )

Ahora, encuentre el valor de cada término en forma decimal.

( 1/8 ) = 0.125 y;

( 1/2 ) = 0.5

Por lo tanto, ( 1/2 ) > ( 1/8 )

Por lo tanto, esta opción es incorrecta.

Para la opción (b),

( 1/3 ) < ( 1/5 )

Ahora, encuentre el valor de cada término en forma decimal.

( 1/3 ) = 0.333 y;

( 1/5 ) = 0.2

Por lo tanto, ( 1/3 ) > ( 1/5 )

Por lo tanto, testa opción es incorrecta.

Para la opción (c),

( 1/12 ) > ( 1/100)

Ahora, encuentre el valor de cada término en forma decimal.

( 1/12 ) = 0.0833 y;

( 1/100 ) = 0.01

Por lo tanto, ( 1/12 ) > ( 1/100 )

Por lo tanto, esta opción es incorrecta.

Para la opción (d),

( 1/4 ) > ( 1/6 )

Ahora, encuentre el valor de cada término en forma decimal.

( 1/4 ) = 0.25 y;

( 1/6 ) = 0.1666

Por lo tanto, ( 1/4 ) > ( 1/6 )

Por lo tanto, esta opción es correcta.

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Answer:

23 is a prime number

Step-by-step explanation:

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