In the year 2010, there were 100g of a certain radioactive isotope. Now there are 70g in 2020 remaining. In what year will there be only 25 left?

Answer:

936 cm²

Step-by-step explanation:

The surface area is the sum of all the faces.

The base is a rectangle with

area = 24 × 7 = 168 cm²

The back is a rectangle with

area = 18 × 7 = 126 cm²

The sloping face is a rectangle with

area = 30 × 7 = 210 cm²

The 2 triangular faces are congruent with

area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then

area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²

Then

surface area = 168 + 126 + 210 + 432 = 936 cm²

Answer:

47

Step-by-step explanation:

First, we find angle 2. It is a supplementary angle with that 104 exterior so we take 180-104=76. Angle 2 is 76.

Now that we have two angles of the triangle, we can set up the equation:

76+57+x=180

we have 180 because all three angles of any triangle equal 180.

solving for x:

simplify the equation, (x)+(76+57)=180

combine like terms, x+133=180

Subtract 133,  180−133=47

x=47.

Answer:

1.  12√3

2.  16√3

3.  6√5

4.  8√6

Step-by-step explanation:

To find the geometric mean of n numbers multiply the numbers and then take the nth root.

For two numbers n = 2  

it's the square root of the product

√(16 * 27)

√432

12√3

√(24 * 32)

√768

16√3

√(5 * 36)

√180

6√5

√(8 * 48)

√384

8√6

Answer:

I believe the answer is D

Step-by-step explanation:

Answer:

100 oxygen molecules simple math

the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:

- The side opposite the 30° angle is half the length of the hypotenuse.

- The side opposite the 60° angle is √3 times smaller than the hypotenuse.

- The hypotenuse is twice the length of the side opposite the 30° angle.

Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).

Then:

- The side opposite the 30° angle = x = 0.5 inches

- The side opposite the 60° angle = √3 * x = √3/2 inches

- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch

So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

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Answer:

It is 7823

Step-by-step explanation:

This is the right answere because it shows us how each number is placed and what we do with it

Answer:

Step-by-step explanation:

1. ∠WVX , ∠YZX are right angled triangles       1.Given

2. WV ≅ YZ                                                          2. Given

3. X is the midpoint of WY                                  3. Given

4. WX ≅ YX                                                          4. definition of midpoint

5. ΔWVX ≅ ΔYZX                                               5. RH congruent

Answer:

An inverse of a fraction is a reciprocal of a fraction. In other words, flipping the numerator and denominator provides the reciprocal of fraction. For example, the reciprocal of fraction 3/5 is 5/3.

Step-by-step explanation:

Answer:

5*9= 45

Step-by-step explanation

Well using your hands you can put down your fifth finger and that will give you four fingers on the left and five on the right that then equals 45

Answer:

25 and 100 I think

Step-by-step explanation:

because the line is between the 20 and the 30 so it its 25

tax because the tax shows you what you paid and ect

Answer:

x=5

Step-by-step explanation:

i'm assuming the upper left expression is x-1 and that the 3 horizontal lines are parallel

the three horizontal lines seem to be parallel, so we have (x-1)/6 = 6/(x+4). cross multiply to get (x-1)(x+4) = 36, or x^2 +3x - 4 = 36. subtract 36 from both sides to get x^2 + 3x -40 = 0, factor or use the quadratic formula to get (x+8)(x-5)=0, so x=-8 or x=5, since we are looking for a length x can't equal -8, so x=5,

These triangles are congruent by the AAS Congruence Theorem.

Congruence Theorem states that if two triangles have congruent corresponding parts then they are congruent.

Given is a figure, we need to find that which theorem proves that these two triangles are congruent

In Δ MNR and Δ QNP

∠ MNR = ∠ QNP (Vertically opposite angle property)

∠ RMN = ∠ QPN (Corresponding angle property)

RN = NQ (As given in the diagram)

Therefore,

Δ MNR ≅ Δ QNP by AAS rule

Hence proved

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The figure is not given, so the question has been solved for the attached one.

Answer:

x²-3x - 8 2(x + 1)

Explanation

Find common denominator and write the nu merators above common denominator:

x(x + 1) − (2x + 4) × 2

2(x + 1)

Apply Multiplicative Distribution Law :

x² + x - 4x = 8

2(x + 1)

Reorder and gather like terms:

x² + (x − 4x) — 8

2(x + 1)

Collect coefficients for the like terms:

x² + (1-4) × x-8

2(x + 1)

Calculate the sum or difference:x²-3x -8

2(x + 1)

Answer:

x²-3x - 8

2(x + 1)

Answer:

Step-by-step explanation:

Consider the cube root parent function.

( graph in photo below )

Complete the statements to make them true.

A cube root function will ( 1 ) ________ have an x-intercept and ( 2 ) ________ have a y-intercept.

For the parent cube root function, ( 3 ) ____________ located at .

Answer:

1. always

2. always

3. both intercepts are

the explination photos below

Answer:

I got you

[tex]f(x)=3x+2[/tex]

[tex]f(x)=4x^2+3x+7[/tex]

[tex]f(x)=|x+4|[/tex]

[tex]f(x)=\sqrt{x+12}[/tex]

[tex]f(x)=6x^3+4x^2-3x-5[/tex]

[tex]f(x)=\sqrt[3]{3x-5}[/tex]

[tex]f(x)=2^x[/tex]

[tex]f(x)=log_3(x)[/tex]

[tex]f(x)=\frac{x+5}{x-3}[/tex]

Each function is respective to the order of the list given.

Let me know if you want the graphs

Work Shown:

[tex]z = \frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt{n}}}\\\\z = \frac{116-119}{\frac{9}{\sqrt{29}}}\\\\z \approx \frac{-3}{\frac{9}{5.3851648}}\\\\z \approx \frac{-3}{1.671258}\\\\z \approx -1.795055\\\\z \approx -1.795\\\\[/tex]

Answer:

Above is the step-by-step solution

[tex]\\ \sf\longmapsto p\propto q [/tex]

[tex]\\ \sf\longmapsto p=kq[/tex]

[tex]\\ \sf\longmapsto \dfrac{p}{q}=k[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{p}{k}[/tex]

Now

[tex]\\ \sf\longmapsto p\propto \sqrt{q}[/tex]

[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^2}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{q}=\dfrac{k}{t^2}[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{k^2}{t^4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{p}{k}=\dfrac{k^2}{t^4}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^4}[/tex]

[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^4}[/tex]

Done

Answer:

18/5 + −8/5√3 (as a decimal: 0.828719)

Answer:

14

Step-by-step explanation:

We can make this and equation

x • y = 1260

x = 3y +48

Our equation is

(3y +48)y = 1260

We get y = 14

The time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s

Since y = f(x) = 0.9sin(πx/2)

We want to determine the time, x at which the boat is 0.5 m above its mean position. This is the value of y at y = 0.5 m

So, y = f(x) = 0.9sin(πx/2)

0.5 = 0.9sin(πx/2)

Dividing through by 0.9, we have

0.5/0.9 = sin(πx/2)

5/9 = sin(πx/2)

Taking inverse sine of both sides, we have

sin⁻¹(5/9) = πx/2

sin⁻¹(0.5556) = πx/2

0.589 rad = πx/2

x = 2 × 0.589/π

x = 1.178/π

x  = 0.375 s

Since the boat repeats its cycle every 4 seconds, the time the boat is 0.5 m above the mean position after n cycles is t = (4n + 0.375) swhere n is a positive integer. That is n = 0, 1, 2, 3...

So, the time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s

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Answer:

the selected answer/2

Step-by-step explanation:

not a function because the same y has 2 different x values

Answer:

x=5

Step-by-step explanation:

To solve for the value of x, you have to get x by itself.  So to get rid of the 3, divide both sides by 3.  3x/3 leaves x.  15/3 leaves 5.  So you're left with x=5.

The solution of expression 3x = 15 is,

⇒ x = 5

We have to given that,

An expression to simplify,

⇒ 3x = 15

We can simplify the expression for value of x,

⇒ 3x = 15

Divide both side by 3,

⇒ 3x/3 = 15 / 3

⇒ x = 5

Therefore, The solution of expression 3x = 15 is,

⇒ x = 5

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Answer:

9:11

Step-by-step explanation:

well 11 and 9 can be simplified so......