The half-life of radium is 1620 years. If a laboratory has 12 grams of radium, how long will it take before it has 8 grams of radium left?
a 947.6 years

b 804.3 years

c 797.5 years

d 849.5 years

2 equations that could be used to solve for missing lengths are:

[tex]\frac{AD}{A'D'} = \frac{BC}{B'C'}[/tex]

Now, According to the question:

Two quadrilaterals are similar if their corresponding angles are equal and also their corresponding sides must be proportional.

Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

ABCD ~ A'B'C'D'

So,

[tex]\frac{AB}{A'B'} = \frac{BC}{B'C'}\\ \\ \frac{CD}{C'D'} = \frac{AD}{A'D'}[/tex]

Hence,  2 equations that could be used to solve for missing lengths are:

[tex]\frac{AD}{A'D'} = \frac{BC}{B'C'}[/tex]

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Answer:

30

Step-by-step explanation:

15(6 – 4)

=15(2)

=30

Answer:

larespuesta a conseguir sería 86

Answer:

12

Step-by-step explanation:

Answer:

Approx 3.92

Step-by-step explanation:

On solving the provided question, we can say that by equation

30 tons of veggies were sold on the first day, 33 tons on the second day, and 35 tons on the third day.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

x = amount (ton) of vegetables sold on day one; y = amount (ton) of vegetables sold on day two. Z = the amount of vegetables sold on the third day (in tons).

[tex]x=y-3\\z=(5/9)*(x+y)\\x+y+z=98\\x+y+[(5/9)*(x+y)]=98\\ 9x+9y+5x+5y=882\\14x+14y=882\\x=y-3\\14x+14y=882[/tex]

solution

[tex]x=30\\y=33\\x+y+z=98---- > z=98-(x+y)---- > z=98-63--- > 35[/tex]

30 tons of veggies were sold on the first day, 33 tons on the second day, and 35 tons on the third day.

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Answer:

g

Step-by-step explanation:

g

Answer:

17

Step-by-step explanation:

3x + 2

x = 5

3x + 2

3(5) + 2

15 + 2

17

[tex]\boxed{The\:value\:of\:3x\:+\:2\:for\:"x\:=\:5"\:is\:17.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3x + 2 \\ = 3(5) + 2 \\ = 3 \times 5 + 2 \\ = 15 + 2 \\ = 17[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

28.2, 27.63, 27.54, 27.5, 27.22

Answer: 28.2, 27.62,27.5,27.22

Step-by-step explanation:

Answer:

610

Step-by-step explanation:

area of triangle is A=0.5*h*b

a=0.5*20*(8+8+15)

a=310

area of square=lh

a=15*20

a=300

300+310=610

Answer:

2(3n^2-4) and 6n^2-8

Step-by-step explanation:

There are two different answers but try at least both of them.

The sum of all the positive two-digit integers where one of the digits is three times the other is 630.

To arrive at this result, the numbers can be broken down into two groups. The first group consists of numbers with 3 as the first digit, and the second group consists of numbers with 3 as the second digit.

For the first group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9. This gives a sum of 3+6+9+12+15+18+21+24+27 = 135.

For the second group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9 and then reversing the digits. This gives a sum of 30+60+90+12+51+81+21+42+72 = 495.

The total sum of all the positive two-digit integers where one of the digits is three times the other is 135+495 = 630.

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The angles of triangle ABC are 60 degrees when altitude BH and bisector AL intersect at point M.

What is equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides.

Given that:

[tex]\angle HML = 100 \\\\\angle MLC = 110[/tex]

Since, BH is the altitude [tex]\angle MHC= 90[/tex].

The total angle of a quadrilateral is 360, hence:

100 + 110 + 90 + C = 360

C = 60 degrees.

Now consider triangle BHC:

The sum of angle of a triangle is 180, hence:

90 + 60 + B = 180

B = 30

Since the half angle B = 30, the entire [tex]\angle ABC = 60[/tex].

Consider triangle ABC:

Using sum of triangles, we have:

[tex]\angle A + \angle B + \angle C = 180\\\\\angle A + 60 + 60 = 180 \\\\\angle A = 60[/tex]

Hence the measure of angles of triangle ABC is 60 degrees.

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Answer:

32768

Step-by-step explanation:

8^6 is 262144, divide by 8. Your answer is 32768

Answer:

32768

Step-by-step explanation:

8 to the power of 6 is 262144

262144 divided by 8=32768

also invite me to ur brains funeral

Answer:

2

Step-by-step explanation:

40% of Damien’s marbles are 6/5 or 1.2.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Damien has three marbles.

40% of Damien’s marbles are blue.

That means,

40% of 3 blue marbles.

So, using the percentage formula,

40% of 3,

= 40 x 3/100

= 120/100

= 12/10

= 6/5

= 1.2

Therefore, 1.2 marbles are blue.

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120

This is a square pyramid so you know that all four triangular sides are congruent. This means that to solve this problem, which is asking you to find the surface area, you need to find the area of one of these triangles, and multiply that by 4. Next you need to find the area of the square and add it to the areas of the triangles.

Detailed Steps:

Plug in your value, [tex]6^2=36[/tex]

36+84=120.

120 is your final answer.

hope this helped

peace ✌

The initial amount of the investment is $800, the investment grows at the rate of 10% each year, and the value of the investment after 12 years is $1760.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates from the graph.

(0, 800), (1, 880), (2, 968)

x-coordinate is the number of years and the y-coordinate denotes the Value.

Now,

The initial amount of the investment is when x = 0.

= 800

Now,

Rate of change of the value each year.

=(880 - 800) / (1 - 0)

= $80

Rate of percentage.

= 80/800 x 100

= 10%

Now,

The value of the investment after 12 years.

= 800 + 12 x 80

= 800 + 960

= $1760

Thus,

The initial amount of the investment is $800.

The investment grows at the rate of 10% each year.

The value of the investment after 12 years is $1760.

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There are 15 triangles in the given figure. Each of the four shapes in the figure can be divided into four triangles.

The figure contains four triangles, each with three sides. To calculate the total number of triangles in the figure, we can multiply the number of sides of each triangle by the number of triangles. Therefore, the total number of triangles in the figure is 3 x 4 = 12.

However, the figure also contains two additional triangles that are formed when three of the triangles intersect. To calculate the total number of triangles, we must add the two additional triangles to the 12 triangles we calculated earlier. Thus, the total number of triangles in the figure is 12 + 2 = 14.

Since the figure also has three more sides, it can be divided into one more triangle. Therefore, the total number of triangles in the figure is 14 + 1 = 15.

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Answer:The answer to your question is 9

Answer:

[tex]6^{2}[/tex]

Step-by-step explanation:

When dividing numbers with same bases with indices this is the rule:

[tex]\frac{x^{y}}{x^{z} } =x^{y-z}[/tex]

So the answer is:

[tex]6^{7-5} = 6^{2}[/tex]

Answer:

The first law of motion

Step-by-step explanation:

Answer:

Step-by-step explanation:

So first, with the given table you need to "plug-in" the numbers that are there for x and y.

Ok, for example 2 is listed in the "x" row. So plug it 2 for "x":

3x+y=15

3(2)+y=15

6+y=15

-6      -6

y=9

So do this for all of them...the same goes with all of the values...just plug in one, complete the steps then you'll get the answer for the other variable.

Hope this helps!

Answer:

6

Step-by-step explanation:

they can both be divided by 6

Answer:

they can both be divided by 6

Step-by-step explanation:

18÷6=3

6÷6=1

Answer:

140

Step-by-step explanation:

Primera tienes que sumar 23 y 17 despues tienes que buscar la differencia de 180 y 40.

Answer:

[tex] \sf \: x = 7[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of x.

Forming the equation,

→ 2x + 5 = 3x - 2

Then the value of x will be,

→ 2x + 5 = 3x - 2

→ 2x - 3x = -2 - 5

→ -x = -7

→ [ x = 7 ]

Hence, the value of x is 7.

Recursive formula for a(n) , the nth term of the sequence is

⇒ a(n) = 125 × (5)ⁿ⁻¹

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

We have to given that;

The sequence is,

⇒ 125, - 25, 5 , ....

Clearly, The sequence is a geometry sequence with common ratio - 5 and first term 125.

We know that;

The nth term of geometry sequence is,

⇒ a(n) = a rⁿ⁻¹

Where, 'r' is common ratio and 'a' is first term of the sequence.

Substitute all the values, we get;

The nth term of the given sequence is,

⇒ a(n) = a rⁿ⁻¹

⇒ a(n) = 125 × (5)ⁿ⁻¹

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