after 1 year, 80% of the initial amount of a radioactive substance remains. what is the half-life of the substance? half-life is

Answer:

A).

Step-by-step explanation:

The numbers should be in consecutive order e.g. - 6.2 6.3 6.4

Answer:

x = 4

Step-by-step explanation:

The figure in the picture is a parallelogram. In parallelograms diagonals bisect each other. That means that they divide each other in half. That means that 6x + 1 is the same as 4x + 9.

6x + 1 = 4x + 9

2x + 1 = 9

2x = 8

x = 4

Answer:

148.7804878

Step-by-step explanation:

All you have to do is divide!

Answer:

5x(2x - 1)

Step-by-step explanation:

Factor 10x^2 - 5x:

Then:  10x^2 - 5x = 5x(2x - 1), since 5x is common to the two given terms

Answer:

[tex]10x^{2} -5x[/tex] in factored form would be [tex]5x(2x-1)[/tex]

Step-by-step explanation:

If we look at all of the terms in this binomial, we can see that they both have 5x in common.  We can now factor 5x out of the equation to get our answer.

To do this, we must divide both terms by 5x.

[tex]10x^2[/tex] divided by [tex]5x[/tex] is [tex]2x[/tex], and [tex]-5x[/tex] divided by [tex]5x[/tex] is [tex]-1[/tex].

So, our final answer is [tex]5x(2x-1)[/tex].

By solving a linear equation, we will see that Victor is 30 years old.

Let's say that Victor is x years old.

We know that 10 years ago, (x - 10), his age was half of what it will be in 10 years (x + 10).

Then we can write the linear equation:

(x - 10) = (x + 10)/2

Now we can solve that equation for x:

2*(x - 10) = x + 10

2x - 20 = x + 10

2x - x = 10 + 20

x = 30

So we conclude that Victor is 30 years old.

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Answer:

17

Step-by-step explanation:

Solution

The distance between each marker is 2. So going upwards 9+2 = 11

11 + 2 = 13

13 + 2 = 15   But we still have 1 more space to go.

15 + 2 = 17

Answer:

4/8 = y/14

Step-by-step explanation:

These triangles are similar (see 1 sign of similarity of triangles)
Let's rotate the 2nd triangle, we'll see that the ratio of y to 14 is 4/8

Answer:

The last option that starts with (1,-1)

Answer:26

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

if I use any numbers too  .the numbers can not be constant numbers so this equation is not a direct variation

7 - 5 = 2

6- 4 = 2                                                        

not contstant

Answer:

3.75

Step-by-step explanation:

17.15-13.40=3.75

Answer:

3.75

Step-by-step explanation:

17.15- 13.40=3.75

Answer: C

Step-by-step explanation:

Given the following inequality:

[tex]W& > \dfrac{Y + H}{P}[/tex]

Solve for H.

To solve for H we will start by multiplying both sides of the equation by P

[tex]PW& > \dfrac{Y + H}{P}\times P\\[0.3cm] PW& > Y + H\\[0.3cm][/tex]

Next, we will subtract Y from both sides of the inequality

[tex]\boxed{{WP - Y > H}}[/tex]

Therefore, the correct answer is C

Answer:

College dropout is the greatest album of all-time

Answer:

dependent: your distance from home

independent: number of miles you walk

Step-by-step explanation:

lmk if you want an explanation

Answer:

c =  68 m

Step-by-step explanation:

To find the hypotenuse 'c' use Pythagorean theorem

       hypotenuse² = base ² + altitude²

                    c²       = 60² + 32²

                               = 3600 + 1024

                               = 4624

                  [tex]\sf c=\sqrt{4624}\\\\ c= \sqrt{2*2*2*2*17*17}=2*2*17\\\\\boxed{\bf c = 68 \ m }[/tex]

The domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0. Then the correct option is C.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = 2x – 41

Then the domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0.

Then the correct option is C.

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From the graph attached below, we can see that the graph of g(x) is the graph of f(x) shifted 6 units up. the correct option is C.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

Given;

Suppose that g(x) = f(x) + 6.

From the graph attached below, we can see that the graph of g(x) is the graph of f(x) shifted 6 units up.

Hence, the correct option is C.

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The complete question is

"Suppose that g(x) = f(x) + 6. Which statement best compares the graph of g(x) with the graph of f(x)?

A) The graph of g(x) is the graph of f(x) shifted 6 units down.

B) The graph of g(x) is the graph of f(x) shifted 6 units to the left.

C) The graph of g(x) is the graph of f(x) shifted 6 units up.

D. The graph of g(x) is the graph of f(x) shifted 6 units to the right."

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Answer:

9

Step-by-step explanation:

The surface, in this case, describes the number of squares that are painted. On the left hand side, we have a cube, so we know we're going to have 6 faces. And each face on the cube has 9 little squares, they can be counted on the diagram. So, the total number of squares that are painted on the left cube = [tex]9 * 6 = 54[/tex]

The star means multiplication.

We are told in the question that it takes 9 litres of paint to cover the surface of the left hand cube, meaning it takes 9 litres of paint to cover 54 squares.

This can be written in the ratio = [tex]9:54[/tex]

If we divide both sides of the ratio by 9, we can figure out the amount of squares that 1 litre of paint covers, [tex]1:6[/tex].

The ratio tells us that 1 litre of paint covers 6 squares.

Let's look at the shape on the right. It is still a cube, however, some segments have been removed. Some faces still remain the same as in the shape on the left, such as the bottom face, the back face and the face to the left. Those faces may not be so apparent on the diagram, however, they exist. So we have to count them.

The number of small squares on these faces = [tex]9 * 3=27[/tex]

If you look on the inside of the cube, which can be seen on the diagram, we can see three faces, each having four squares. So, the total number of squares here = [tex]3*4=12[/tex]

Also, we have some squares on the top, and if you count these, there are 5.

This also applies for the front and the right hand side if you count, so we add 10 squares to the total as there are another two lots of five.

So, the total number of squares on the right cube = [tex]27 + 12 + 5 + 5 + 5 = 54[/tex]

Let's bring back the ratio of litres of paint to the number of squares covered: [tex]1:6[/tex]

In the ratio, there are 6 squares per litre. We know that 6 × 9 = 54 (our total). So, we multiply left hand side of the ratio by 9 as well, bringing the total amount of paint required to 9 litres.

I hope this helps.

The surface area of cuboid = [tex]$400 \mathrm{~cm}^{2}$[/tex].

If the left cube takes 9 liters of paint to cover the surface. Then, also right cube takes 9 liters of paint to cover the surface.

Cuboid dimension [tex]$\frac{10 \mathrm{~cm}}{(l)} \times \frac{10 \mathrm{~cm}}{(b)} \times\frac{5 \mathrm{~cm}}{(h)}$[/tex]

Surface area = 2(lb + lh + bh)

= 2((10 [tex]\times[/tex] 10)+(10 [tex]\times[/tex] 5)+(10 [tex]\times[/tex] 5))

= 2(100+50+50)

= [tex]400 \mathrm{~cm}^{2}[/tex]

Therefore, surface area of cuboid = [tex]$400 \mathrm{~cm}^{2}$[/tex].

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Answer:

6

Explanation:

[tex]\textsf {The range of a data representation refers to difference of the smallest and }\\\textsf {greatest possible values. }[/tex]

[tex]\textsf {Here :}[/tex]

[tex]\textsf {smallest value = 5}\\\textsf {greatest value = 11}[/tex]

[tex]\textsf {Then the range will be :}\\\implies \textsf {greatest value - smallest value}\\\implies \mathsf {11 - 5}\\\implies \mathsf {6}[/tex]

Answer:

X = 3, -1; B

Step-by-step explanation:

Use log properties, log 5 on both sides, log 5 of 25 is 2 that times the exponent, so 2*x = 2x, and on the other side, log 5 and base of 5  cancels. So 2x = x^2 -3, which can be solved using factoring:

x^2 -2x -3 = (x-3)(x+1) = 0, x=3,-1

The value of x in 25ˣ = 5ˣ²⁻³ is x =3 or x = -1.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given that the equation is 25ˣ = 5ˣ²⁻³.

To solve the equation, take logs on both sides, we get,

x log(25) = (x²- 3)log5

2x log 5 = (x²- 3) log5

2x = x²-3

x²- 2x -3 = 0

Now, factorize the quadratic equation,

we get,

x² - 3x + x - 3 = 0

x(x- 3) + 1(x - 3) = 0

x = 3 or -1.

Therefore, x = 3 or x = -1.

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Answer:

Aubree can use 4.6 gigabytes of data while staying within her budget.

If the answer choices only use whole numbers, use 4 gigabytes, because it is the number of full gigabytes she can use.

Step-by-step explanation:

x= gigabyte

58.50 + 3x = 72.30

3x = 72.30-58.50

3x= 13.8

x= 4.6

The given expression will be written as follows:-

y = 6x

y = 6x + 6

y = 6x - 1

y = 6x +1

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

A) The total pages a person reads in x days, if the person reads 6 pages a day

y = 6x

B) The cost of x boxes of mangoes, if 1 box costs $6 and the shipping charge is $6 per order (for any number of boxes)

y = 6x + 6

C) The total cost of x notebooks if one notebook costs $6 and students receive a discount of $1 off their total bill

y = 6x - 1

D) The total cost of x novels and a pocket dictionary if you buy x novels each at $6 and get a pocket dictionary at $1

y = 6x + 1

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The correct answer is option A which is A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that:-

We have the data from the question that the temperature of Bangkok is hotter than cape town.

Bangkok > Cape town

And the temperature of Cape town is hotter than Moscow.

Cape town > Moscow

Now for both the statements, the inequality will be given as:-

Bangkok's temperature < Cape Town's temperature < Moscow's temperature.

Therefore the correct answer is option A which is A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature.

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We need to add 2.4 mL of 100 % active ingredient powder to strengthen the mixture to 50% active ingredient powder

The amount of each volume m = CV where

The amount of 50 % mixture, m = amount of 100 % powder + amount of 20 % powder.

M = m + m'

CV = C'V' + C"V" where

So, CV = C'V' + C"V"

0.5V = 1 × V' + 0.2 × 4

0.5V = V' + 0.8  (1)

Also, we have that the total volume V = V' + V"

V = V' + 4 (2)

Substituting equation (2)into (1), we have

0.5V = V' + 0.8

0.5(V' + 4) = V' + 0.8

0.5V' + 0.5 × 4 = V' + 0.8

0.5V' + 2 = V' + 0.8

0.5V' - V' = 0.8 - 2

-0.5V' = -1.2

V' = -1.2/-0.5

V' = 2.4 mL

So, we need to add 2.4 mL of 100 % active ingredient powder to strengthen the mixture to 50% active ingredient powder

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Answer:

y=3 (1/3)x

Step-by-step explanation:

On a graph, the closest graph you pictured is this answer

Answer:

y =  [tex]3 (\frac{1}{3} )^{x}[/tex]

Step-by-step explanation:

Step 1:

Check the y-intercept; in the graph, when x = 0, y = 3. Which equation satisfies this?

y = [tex]\frac{1}{3}[/tex] [tex](3)^{x}[/tex] = [tex]\frac{1}{3}[/tex] [tex](3)^{0}[/tex] =        [tex]\frac{1}{3}[/tex]      ❌

y = [tex]3 (\frac{1}{3} )^{x}[/tex]  = [tex]3 (\frac{1}{3} )^{0}[/tex]  = 3          ✅

y =  [tex](\frac{1}{2} )^{x}[/tex] + 2  = [tex](\frac{1}{2} )^{0}[/tex] + 2 = 3  ✅

So the last two equations are possible.

Step 2:

Now check the y-value on the graph for any other x-value, whose corresponding y-value can be easily estimated from the graph.

For example, when x = 2, the y-value is between 0 and 1.

• 2nd equation: y = [tex]3 (\frac{1}{3} )^{x}[/tex]  =  [tex]3 (\frac{1}{3} )^{2}[/tex] = 0.333               ✅

• 3rd equation:  y =  [tex](\frac{1}{2} )^{x}[/tex] + 2 = y =  [tex](\frac{1}{2} )^{2}[/tex] + 2 = 2. 25  ❌

∴ 2nd equation (y = [tex]3 (\frac{1}{3} )^{x}[/tex] ) is the one being represented by the graph.

Answer:

It is an obtuse triangle I think because

The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.

When two angles are said to be supplementary angles if their sum is 180 degrees.

A triangle is shown with its exterior angles.

The interior angles of the triangle are angles 2, 3, 5.

The exterior angle at angle 2 is angle 1.

The exterior angle at angle 3 is angle 4.

The exterior angle at angle 5 is angle 6.

We know that the sum of interior and exterior angle of the triangle is 180 degrees.

∠1 + ∠2 = 180°

∠3 + ∠4 = 180°

∠5 + ∠6 = 180°

Then the correct option is C.

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Answer:

D

Step-by-step explanation:

using the rule of logarithms

log x - log y ⇔ log ( [tex]\frac{x}{y}[/tex] )

then

[tex]log_{b}[/tex] ( [tex]\frac{a}{d}[/tex] ) = [tex]log_{b}[/tex] a - [tex]log_{b}[/tex] d