2. A sphere has a great circle whose circumference is 95 centimeters. Which of the following is closest to the
volume of the sphere, in cubic centimeters?
1) 4,600
(3) 12,700
2) 7,500
(4) 14,500

The type of Nuclear decay that is described where Gold undergoes transmutation is given as 185/79 Au → 181/77 Ir + 4/2 He, it is called Alpha Decay.

An Alpha Decay can be described as a form of radioactive or Nuclear decay where the atomic nucleus releases an alpha particle (also known as Helium Nucleus).

It then converts into a nucleus that is atomic with an atomic number of two and a mass number of four.

Alpha Decay is usually trigged for two key reasons:

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Answer:

the scale factor and the ratio of their perimeters is 8/9

Step-by-step explanation:

k^2=area 1/area 2

k^2=64/81

=square root if k^2=square root of 64/81

=k=8/9

For the given number is 4√18 .The Prime factorization would be 4√18  = 2 x 2 x √2 x √3 x √3.

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, factorization is the decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number.

Those composing integers are called factors of that considered integers.

Prime factorization is when all those factors are prime numbers.

Thus, prime factorization expresses an integer in terms of multiples of prime numbers.

Prime factorization is unique for each integer.

For the given number is 4√18

Prime factorization

4√18  = 2 x 2 x √2 x √3 x √3

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Answer:

d

Step-by-step explanation:

sin angle (60) would have been equal to 0.5 or a 1/2

and cos angle(60) would have been equal to 0.86 then you'll say square by 3 over 2

Let me know if this answer can work

Best of Luck

Answer:

49.5

Step-by-step explanation:

you multiply the height and base then divide that awnser by 2

Answer:

#3 : x = 12

#4 : x = 6

Step-by-step explanation:

Question 3:-

Question 4:-

Answer:

Range is 15

Step-by-step explanation:

1. Organize from least to graetest:

29, 32, 33, 33, 36, 37, 38, 40, 44

2. Find the largest and the smallest numer:

29 and 44

3. Subtract:

44

-29

=15

Answer:

its 15

Step-by-step explanation:

i just need da points

Answer:

x = 15

∠AOB = 15°

∠BOC = 165°

Step-by-step explanation:

Angles on a straight line add up to 180°

[tex]\sf \implies \angle AOB + \angle BOC=180[/tex]

Substitute the given expressions for the angles:

[tex]\sf \implies (2x - 15) + 11x = 180[/tex]

Collect and combine like terms:

[tex]\sf \implies 2x +11x- 15=180[/tex]

[tex]\sf \implies 13x- 15=180[/tex]

Add 15 to both sides:

[tex]\sf \implies 13x- 15+15=180+15[/tex]

[tex]\sf \implies 13x=195[/tex]

Divide both sides by 13:

[tex]\sf \implies \dfrac{13x}{13}=\dfrac{195}{13}[/tex]

[tex]\sf \implies x=15[/tex]

Now substitute the found value of x into the expressions for each angle:

[tex]\sf \implies \angle AOB =2(15)-15=15^{\circ}[/tex]

[tex]\sf \implies \angle BOC =11(15)=165^{\circ}[/tex]

Answer:

it is the answer on the top

Answer:

So, 5, 20, 45, 80,...5N2

Step-by-step explanation:

Divide the sequence by 5 and the answer becomes very obvious:

EX: 1, 4, 9, 16,...N2

Answer:

I think c

Step-by-step explanation:

i might be wrong so dont trust my answer but i would've picked C

Answer:

12.25

Step-by-step explanation:

Multiply the pounds of apples by the batches.

1.75×7=12.25

Answer:

0.96%

Step-by-step explanation:

We are looking for the percent that represents "6 out of 625"

Divide to find the decimal answer:

6/625 means

6 ÷ 625

= 0.0096

Then multiply by 100 to change to a percent.

0.0096 × 100

= 0.96%

Answer:

35 minutes

Step-by-step explanation:

The total time he walked for last week is

10 * 5 = 50 minutes

Subtract 225 by 50 to find the total time he spend for swimming

225-50 = 175 minutes

Divide 175 by 5 to find the time taken for swimming on each day

175/5 = 35 minutes

Answer:

a standard unit is a fixed value this value cannot be changed.

Step-by-step explanation:

it’s a fixed value that can’t be changed.

Standard unit is a unit of measurement that is accepted by the world as a universal unit of measurement that cannot be changed

Answer:

25.2

Step-by-step explanation:

Secant-Tangent Formula:

(whole secant) x (external part) = (tangent)^2

(41+12) * 12 = x^2

( 53) * 12 = x^2

636= x^2

Taking the square root of each side

sqrt(636) = x

25.2=x

Answer:

25.2

Step-by-step explanation:

This is an intersection of a tangent and a secant.

Answer:

10 1/6

Step-by-step explanation:

First, you need to turn all the mixed numbers into improper fractions. You do this by multiplying the whole number by the denominator, adding the numerator, and then putting that number over the denominator.

So, 6 1/2 would become (6(2) + 1)/2 = 13/2. And 3 2/3 would become (3(3) + 2)/3 = 11/3.

Then, you can rewrite your equation using the improper fractions:

x - 13/2 = 11/3

Then, add 13/2 to both sides since it is being subtracted:

x = 13/2 + 11/3

Add the fractions by multiplying the denominators of each by the fraction of the other:

3(13/2) = 39/6
2(11/3) = 22/6

Add the fractions:

39/6 + 22/6 = 61/6

Simplify the fraction:

10 1/6

Answer:

10 1/6 or [tex]10\frac{1}{6}[/tex]

Step-by-step explanation:

The BEST, BASIC, FAST trick to find x in these situtations

If you have to find x in a question which is having Subtraction, then you add what number was being subtracted or what was subtracting the x or variable with the ending result.  If you're doing addition, then you do subtraction in the same way.

Multiplication -> Division

Divisioin -> Multiplication

these 2 also in the same way!

Why do to do this?

Because when we will add that number with the final result, then we will get what is x, since x-that number = the last number. Try to understand, it's pretty hard to explain.

Now, solving the problem!

[tex]6\frac{1}{2} +3\frac{2}{3} =\\\\6\frac{3}{6} +3\frac{4}{6} =\\\\10\frac{1}{6}[/tex]

So your answer is 10 1/6 or [tex]10\frac{1}{6}[/tex]

Thanks!

I hope I could help!

:D

Answer:

  $437.50

Step-by-step explanation:

The amount of tax is found by multiplying the tax rate by the amount being taxed.

__

  0.0175 × $25,000 = $437.50

They are required to pay a business tax of $437.50.

Answer:

x = 17   degrees        y = 3  units

Step-by-step explanation:

Since angle   F  and  E are equal,   sides  DE  and  DF   are equal and you now have an equilateral triangle

  each angle is   60 degrees    so   4x - 8 = 60    shows   x = 17

   since the sides are equal :   8y-3 = 6y+3   shows y = 3  

Answer:

x = 17 , y = 4

Step-by-step explanation:

since EF and DF are congruent , then

8y - 5 = 6y + 3 ( subtract 6y from both sides )

2y - 5 = 3 ( add 5 to both sides )

2y = 8 ( divide both sides by 2 )

y = 4

--------

the triangle has 3 congruent angles , then

3(4x - 8) = 180 ( divide both sides by 3 )

4x - 8 = 60 ( add 8 to both sides )

4x = 68 ( divide both sides by 4 )

x = 17

Answer:

 43y2+3 + 7y + 1

Step-by-step explanation:

The time that is taken for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds

Given that this is a cosine equation,

At maximum, Cos (0) =1

At minimum, Cos (π) = -1.

Hence,

At the maximum:

At the minimum:

Given that the time taken from max to min is 0.625 and also to min to max is also 0.625,

The total time taken would be:

0.625 + 0.625 = 1.25s

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Since there is no value that is far removed from all others thus we can say that there are no outliers in the data set.

In the process of statistical observation, an outlier is any value that lies too far away from other values in the data set.

If we look at the data set as shown, there is no value that is far removed from all others thus we can say that there are no outliers in the data set.

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Answer:

[tex]7\sqrt{2} \ cm[/tex]

Step-by-step explanation:

Formula ………………………………………………

The length of a diagonal of a square with side of length “a” is :

[tex]a\sqrt{2}[/tex]

======================================================

Since a = 7 (in our case) then

[tex]\text{the length of the diagonal} =7\sqrt{2}[/tex]

Note : you can also use the Pythagorean theorem.

Answer:

m = 1

c = 4

Step-by-step explanation:

First let's review what a slope-intercept form is.

Slope-intercept form is a specific form of linear equations. It always has y on one side and all the other terms on the other. Its structure is:

[tex]y = mx + c[/tex],

where m is the slope and c is the y-intercept.

You can easily read slope (m) and intercept (c) in your equation.

[tex]y = mx + c\\y = x + 4[/tex]

You can see that m in front of x is 1, because x = 1x. Multiplying with 1 perserves the number.

So:

[tex]m = 1\\c = 4[/tex]

Answer:

h(x) = f(x - 12) - 4

Step-by-step explanation:

y = f(x) (-6, 11)

⬇️ ⬇️

y - h(x) (6, 7)

so h(x) = f(x - 12) - 4

Hope this helps and have a nice day