Element X decays radioactively with a half life of 13 minutes. If there are 530 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 11 grams? y = a * (.5) ^ (1/7)

Answer:

-64

Step-by-step explanation:

geometric

equation

a1(r)^n-1

-1/2(2)^8

Given sequence is -1/2, -1, -2, -4,...

We get,

a1 = -1/2

r = 2

n = 8

So,

a8 = a.r^(n-1)

a8 = -1/2 * 2^(8-1)

a8 = -1/2 * 2^7

a8 = -1/2 * 128

a8 = -64

Therefore, 8th term of the sequence is -64

A common ratio multiplied to each term to get the next term is a non-zero number is a geometric sequence. An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, … , where the common ratio is 2.

- Arithmetic sequences

- Geometric sequences

- Quadratic sequences

- Special sequences

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Answer:

18 and 20, 4

Step-by-step explanation:

Math reasoning 1:

Set the first number as x and the other one as x+2 because it is a consecutive even number.

x+x+2=38

2x=36

x=18

18+2=20

The 2 consecutive numbers are 18 and 20

Problem solving 1:

Write out equation first, set the unknown number as x

5+x=9

x=4

Answers:

Top Yellow: 2(n+7) = 13

Bottom Red: 5(n-2) = 4

Step-by-step explanation:

Top Yellow Example: 2 times the sum of the number x and 7 is 13. Use words in the sentence to replace them with mathematical symbols. Sum is equal to +, etc. 2(n+7) = 13 is your answer.

Answer:idk

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

I took the test

The simplified expression of the ∛4x / 5 is ∛4x / ∛5

The expression can be simplified as follows:

∛4x / 5

using law of indices

[tex]\sqrt[a]{b} =b^{\frac{1}{a} }[/tex]

∛4x / 5 = [tex](\frac{4x}{5} )^{\frac{1}{3} }[/tex]

Therefore,

∛4x / 5 = ∛4x / ∛5

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Answer:

The correct options is (a)

The simplified form of the given expression (2ab/a⁻⁵b²)⁻³ is b³/8a¹⁸. The correct answer is option A.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given as follows:

(2ab/a⁻⁵b²)⁻³

= [(2ab) / (a⁻⁵b²)]⁻³

Use the negative exponent rule: a⁻ⁿ = 1/aⁿ and simplify the denominator

= [(2a.a⁵b) / (b²)]⁻³

Combine the coefficients 1 and 5 to get

= [(2a⁶) / (b)]⁻³

= 1/[(2a⁶) / b]³

= 1/[(2a⁶)³ / b³]

Cube the resulting expression to get

= b³/8a¹⁸

Therefore, b³/8a¹⁸ is the simplified form of (2ab/a⁻⁵b²)⁻³.

Hence, the correct answer is option A.

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Answer:

r1= -3

r2= (11/2)

Step-by-step explanation:

5-4r=17

-4r=17-5

-4r=12

r=13

and

5-4r=-17

-4r=-22

r= 11/2

Answer:The answer would be $238.33 a month

Answer:

The tangent of ∠L represents the ratio between side NM and side LN.

The value of this tangent is 0.9028

Step-by-step explanation:

The angle ∠N is 90°, so we have a right triangle. In a right triangle, the tangent of an angle represents the ratio between the opposite side of that angle and the adjacent side (the cathetus, not the hypotenusa) of that angle.

So, in the triangle LMN, the opposite side to the angle ∠L is NM, and the adjacent side is LN (ML is the hypotenusa, because it is the bigger side). The value of this tangent is:

tan(L) = NM / LN = 65 / 72 = 0.9028

Answer:

65/72

Step-by-step explanation:

deltamath gave me the answer

Answer:

C

Step-by-step explanation:

Okay, so for this, you need to know that (g°f)(x) = g(f(x))

in order words, we are using the f(x) equation as X for the g(x) equation..

[tex]\frac{ x^{2} +5 + 5}{ x^{2} +5}[/tex] = [tex]\frac{x^{2}+10}{x^{2}+5}[/tex]

Now, we just plug in -3 for X

[tex]\frac{(-3)^{2} + 10 }{(-3)^{2} + 5} =\frac{9 + 10}{9 + 5} = \frac{19}{14}[/tex]

C

Answer: 39 degrees

Step-by-step explanation: The box tells us that is a 90 degree angle. Subtract 90-51=39. They add to 90 degrees.

Answer:

Do you mean b? 39°

Step-by-step explanation:

90-51=39

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Have a nice day.

Answer: x = 4394.9

Step-by-step explanation:

x.sin(21) = __1575__ . x

                      x

cross out the x from both side then

_x.sin (21)_____ =  _1575_____

sin(21)                         sin(21)

x = 4394.9

tell me if that is the right answer

Mark me as brainliest if i got it right

the value of X is 58 degree.

The value of y is 32 degree.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

546 ft³

Step-by-step explanation:

In the figure attached, the top view of the pool is shown. It can be decomposed into a trapezoid which height is 12 ft and which bases are 9 ft and 11 ft; and a rectangle which height is 1.5 ft and and it base is 11 ft.

Area of the trapezoid: (9 + 11)/2 * 12 = 120 ft²

Area of the rectangle: 1.5*11 = 16.5 ft²

Total area: 120 + 16.5 = 136.5 ft²

Volume of the pool: Total area * deep = 136.5 * 4 = 546 ft³

Answer:

864/(6*12)

864/72

12 = l

Answer:

Step-by-step explanation:

V = l * b * h

l = V/(b * h)

L = 864/(6*12)

L = 864/72 = 12 inches

Answer:

that would be 108

Step-by-step explanation: it's 108 b/c supplementary angle/ either of two angles whose sum is 180°.

Answer:

Let the angle be x .

Its supplementary = 180 - x

Given:

x = 180 - x - 72

2x = 108

x = 54

Other angle = 180 - 54 = 126

Answer:

24 in

Step-by-step explanation:

12 sides times 2in = 24in

Answer:

Volume, [tex]V=889.7\ m^3[/tex]

Step-by-step explanation:

From the attached figure,

Radius of shape is 5 m

Height of the cylindrical part is 8 m

It is required to find the volume of the given shape. The volume of the given object is equal to the sum of volume of cylinder and volume of hemisphere. So,

[tex]V=\pi r^2h+\dfrac{2}{3}\pi r^3\\\\V=3.14\times (5)^2\times 8+\dfrac{2}{3}\times 3.14\times 5^3\\\\V=889.7\ m^3[/tex]

So, the volume of the figure is [tex]889.7\ m^3[/tex].

Answer:

20-e 21b 22-c

Step-by-step explanation:

Answer:

a) 72 cm^2

b) 9 cm^2

c) 9 cm^2

d) 60.39 cm^2

Step-by-step explanation:

a) the the length is 12 cm and the width is 6 cm. Area = lw

A=(12)(6)

A=72 cm^2

b) base equals 3 cm

Height equals 6 cm

A=1/2(3)(6)

A= 9 cm^2

c) base = 3 cm

height=6 cm

Area=1/2(3)(6)

A=9 cm^2

d) to to find the area of the parallelogram, You need to use Pythagorean theorem for one of the triangles.

3^2 + 6^2 = x^2

9 + 36 = x^2

45=x^2

✓45 = ✓x^2

x = 6.71 cm

12-3 = 9

now that you have all the sides for the parallelogram, multiply 6.71 times 9 to get the area.

A= 60.39 cm^2

Answer:

The relationship between [tex]\angle 1[/tex] and [tex]\angle 8[/tex] are Alternate Exterior Angles.

Step-by-step explanation:

Alternate Exterior Angles, are pair of angles that lie on the outside of the traversal and lie on the opposite sides.

The required name of the relationship between 1 and 8 is alternate exterior angles

The correct option is (c)

When a transversal cut the pair of parallel lines then the alternate exterior angles are congruent.

Consider the given pair of parallel lines and transversal

we have

angel 1 and 5 are corresponding angles

angle 2 ad 6 are corresponding angles

angle 1 and 8 are alternate exterior angle

angle 2 and 7 are also alternate exterior angle

Therefore the correct option is (c)

This is the conclusion to the answer.

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Answer:

Option D  y=-3x^2 +4

Step-by-step explanation:

This is the correct answer because the graph is going down which shows that it is negative and the y intersect is +4

Answer:

2

Step-by-step explanation:

The answer is 2 because the expression tells you that the numbers in parentheses are the ones you start with first. In this case you need to start from left to right since both sides are in symbols.

1. 3x4=12

2. 24-18=6

3. 12/6=2

And there you have it! Please leave a vote and a thanks! Let me know if it's correct!

Answer:

(2,7)(3,2)

Step-by-step explanation:

So the right answer is 15.57.

Look at the attached picture

Hope it will help you..

Good luck on your assignment

~pragya

Answer:

the answer is attached to the picture

hope this helps

brainliest appreciated

good luck! have a nice day!!

Answer:

[tex]=31.64ft^2[/tex]

Step-by-step explanation:

Triangle

[tex]A=\frac{h_{b}b }{2} \\=\frac{4*6}{2}\\=12ft^2[/tex]

Semicircle

[tex]A=\frac{\pi r^2}{2}\\=\frac{\pi 2.5^2}{2} \\=9.82ft^2\\[/tex]

because both semicircle are the same just multiply by 2

[tex]9.82*2\\=19.64ft^2[/tex]

Now add all together

[tex]12+19.64\\=31.64ft^2[/tex]

Answer:

31.64 ft*2

Step-by-step explanation:

Break down the problems by shapes-

1. Triangle= 4 x 6/2

=12 ft*2

2. Semi-Circle= 2.5/2 (sense their are two, we only need to solve one)

=9.82 ft*2

Multiply 9.82 by 2  

=19.64 ft*2

Adding all together

12+ 19.64

=31.64 ft*2

Answer:

(25x9x4)(x)

Step-by-step explanation:

They both equal 900x

Answer:

x^2+5x+13=0

Step-by-step explanation:

x upper 2 and 5x

The airplane is 48 feet long in real dimensions.

To find out how long the airplane actually is, we can use the scale and input our amount of inches that it is measured by.

So, 1 inch equals to 6 feet.

Our model plane is 8 inches.

Now, we plug it in.

8 inches = 6(8)

8 inches = 48 feet

Therefore, the length of the real airplane is 48 feet.

48 feet

Answer:

48 feet

Step-by-step explanation:

Let's create a proportion using the following setup.

inches/feet=inches/feet

We know the scale is 1 inch to 6 feet. We also know that the plane is 8 inches long, but we don't know how many feet long it is, so we can say x feet.

1 inch/6 feet= 8 inches/ x feet

1/6=8/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Multiply the denominator of the first by the numerator of the second.

1*x=6*8

x=6*8

x=48

Add appropriate units, in this case: feet.

x= 48 feet

The actual airplane is 48 feet long.

Answer:

y=6

Step-by-step explanation:

step 1:

26 • (7y + 8) - 1300 = 0

Step 3:

Pulling out like terms :

3.1     Pull out like factors :

182y - 1092  =   182 • (y - 6) 

Equation at the end of step 3:

182 • (y - 6) = 0

Step  4  :

Equations which are never true :

4.1      Solve :    182   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2      Solve  :    y-6 = 0 

Add  6  to both sides of the equation: 

                      y = 6