I need the unit rate and graph the answer please the question is attached.

Answer:

*plays sweet dreams by eurythmics on repeat*

Volume of a Sphere formula: V = (4/3)(pi)(radius^3)

Now plug in the values: V = (4/3)(3.14)(39^3)

Now some solving:

V = (4/3)(3.14)(59,319)

V = (4/3)(186,261.66)

V = 248,348.88

Exact Value: 248,348.88cm^3

Approximate(Rounded) Value: 248,349cm^3

a) The complete beta (ß) decay reaction for 60Co is 60 (superscript) 27 (subscript) Co → 60 (superscript) 28 (subscript) Ni + -1 (superscript) 0 (subscript) e.

b) The complete beta (ß) decay reaction for 18F is 18 (superscript) 9 (subscript) F → 18 (superscript) 10 (subscript) Ne + -1 (superscript) 0 (subscript) e.

Beta (ß) decay is a type of radioactive decay in which a beta particle, which can be either an electron or a positron, is emitted from the nucleus of an atom. It occurs when a neutron is converted into a proton or vice versa, along with the emission of a beta particle.

In the first given example, the beta (ß) decay of 60Co is represented as 60 (superscript) 27 (subscript) Co → 60 (superscript) 28 (subscript) Ni + -1 (superscript) 0 (subscript) e. This means that a cobalt-60 nucleus (with 27 protons and 33 neutrons) decays into a nickel-60 nucleus (with 28 protons and 32 neutrons) by emitting a beta particle, which is represented by -1 (superscript) 0 (subscript) e.

Similarly, in the second given example, the beta (ß) decay of 18F is represented as 18 (superscript) 9 (subscript) F → 18 (superscript) 10 (subscript) Ne + -1 (superscript) 0 (subscript) e. This indicates that a fluorine-18 nucleus (with 9 protons and 9 neutrons) decays into a neon-18 nucleus (with 10 protons and 8 neutrons) by emitting a beta particle.

The superscript represents the mass number (the sum of protons and neutrons), while the subscript represents the atomic number (the number of protons) of the respective nuclei.

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Answer:

yes you got it correct smart

Step-by-step explanation:

To prove that n³-n is divisible by 3 using mathematical induction, we need to follow the steps mentioned below:

Step 1: Show that the given statement is true for n=1, i.e., n³-n = 1³-1 = 0 which is divisible by 3. So, the base case is true.

Step 2: Assume that the given statement is true for n=k, i.e., k³-k is divisible by 3. This is the inductive hypothesis.

Step 3: We need to prove that the given statement is true for n=k+1. So, we have to show that (k+1)³-(k+1) is also divisible by 3.

Step 4: Now, (k+1)³-(k+1) can be expanded as follows:(k+1)³-(k+1) = k³+3k²+3k+1-k-1= k³+3k²+2k

Step 5: Using the inductive hypothesis, k³-k is divisible by 3. So, we can write k³-k = 3m for some integer m.

Substituting this value in step 4, we get:(k+1)³-(k+1) = k³+3k²+2k= (3m+k)+3k²+3k= 3(m+k²+k). Thus, we can say that (k+1)³-(k+1) is divisible by 3, and hence, the given statement is true for n=k+1.

Step 6: Therefore, we have proved that n³-n is divisible by 3 using mathematical induction.

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Step-by-step explanation:

13) 4x-22+x+11+10x-4 =180

15x=195

x=13

<P=(10(13)-4)=126

<Q=(4(13)-22)=30

<R=13+11=24

Answer:

2^4=16

Step-by-step explanation:

2^4 is equal to 2x2x2x2 which is equal to 4x2x2 which is equal to 8x2 which is equal to 16. Therefore, 2^4 is equal to 16.

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The charge enclosed by the cylinder is simply equal to the total charge Q on the surface of the cylinder.

If the charge is only on one surface of the cylinder, then we can assume that the charge is uniformly distributed on that surface. Let's denote the surface charge density by σ.

The charge enclosed by the cylinder is given by qenc = σA, where A is the cross-sectional area of the cylinder.

We are not given the surface charge density σ, but we can relate it to the total charge Q on the surface of the cylinder as follows:

Q = σA

We can solve for σ to get:

σ = Q/A

Substituting this expression for σ into our equation for qenc, we get:

qenc = σA = (Q/A)A = Q

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The percentage of respondents who play only hockey is 27.24%.

According to the given question.

Total number of respondents = 2302

And, the number of reposdents who play only hockey = 627

Therefore,

The percentage of respondents said that they play only hockey

= (number of respondents who play only hockey/ total number of respondents)  × 100

\(= \frac{627}{2302} \times 100\)

= 27.237 %

≈ 27.24%

Hence, the percentage of respondents who play only hockey is 27.24%.

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There are 27,720 different arrangements of red and yellow roses.

The total number of roses is 8 + 4 = 12. To find the number of different arrangements, we can use the formula for permutations, which is:

n! / (n - r)!

where n is the total number of objects and r is the number of objects we want to arrange.

In this case, we want to arrange all 12 roses, so n = 12. The number of red roses is 8, so r = 8. Therefore, the number of different arrangements of the roses is:

12! / (12 - 8)! = 12! / 4! = 27,720

So there are 27,720 different arrangements of the 8 red roses and 4 yellow roses.

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Answer:

I'm not sure but i hope i helped

\(\\ \tt\hookrightarrow 3(3)(3)(3)\)

\(\\ \tt\hookrightarrow 3^4\)

Mark the rule

Answer:

2.5 dhs

Step-by-step explanation:

5% of AED50

50x5/100=250/100

=AED2.5

Option 4 is correct graph for linear equation.

According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this statement can be replaced with any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠). The different types of mathematical inequality include absolute value inequality, rational inequality, and polynomial inequality.

Given inequality,

-6x > 42

divide both side by 6

-6x/6 > 42/6

-x > 7

so x < -7

the  equation says that the value of x should be less the then -7 in which -7 is not included,

so the graph of option 4 is best fit for inequality.

Hence the  correct graph for  inequality is option 4.

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At a discount rate of 20%, the present value of your aunt’s offer of $22,000 in 17 years is approximately $190.46.


To calculate the present value of your aunt’s offer, we use the discount rate of 20%. The formula for present value is PV = FV / (1 + r)^n, where PV is the present value, FV is the future value, r is the discount rate, and n is the number of periods. Plugging in the values, we have PV = $22,000 / (1 + 0.20)^17, which gives us approximately $190.46.

For the investment scenarios, we use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial investment), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values for each case, we calculate the final amounts.
a. A = $12,500(1 + 0.07/1)^(1*8) ≈ $19,956.77.
b. A = $12,500(1 + 0.10/1)^(1*17) ≈ $46,426.32.
c. A = $12,500(1 + 0.12/2)^(2*20) ≈ $73,785.59.
Therefore, if you invest $12,500 today, you will have approximately $19,956.77 in 8 years at 7%, $46,426.32 in 17 years at 10%, and $73,785.59 in 20 years at 12% compounded semiannually.

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Answer:

A I'm pretty sure

Step-by-step explanation:

hope that helps .-.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{-1}x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

now, we know that our line is perpendicular to that one, thus

\(\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1}\implies 1}}\)

so we're really looking for the equation of a line that has a slope of 1 and runs through (0 , 10)

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{1}(x-\stackrel{x_1}{0}) \\\\\\ y-10=x\implies y=x+10\)

Answer:

26

Step-by-step explanation:

9=x+1

5=10÷3

9=x+1

5=3.333°

Now you need to find scale factor (sf)

5÷3.333°=1.5

SF=1.5

9÷3.333=2.7

2.7-1=1.7

x=1.7

Answer:

  x = 5

Step-by-step explanation:

Given PQRS ~ UVWT and PQ = 5, RS = 9, UV = 10/3, WT = x+1, you want the value of x.

Corresponding side lengths of similar polygons are proportional. This means ...

  WT/UV = RS/PQ

  (x+1)/(10/3) = 9/5 . . . . . . . . . . . substitute given values

Multiplying by 10/3 gives ...

  x +1 = (10/3)(9/5) = 6

  x = 5 . . . . . . . . . subtract 1

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

Explanation:

A = (4,5) is one endpoint

B = (-1, 4) is the midpoint

C = (x,y) is the other endpoint

For now, focus on the x coordinates of each point

A and C have x coordinates of 4 and x respectively

Add them up and divide in half. Set this equal to the x coordinate of B

(4+x)/2 = -1

4+x = 2*(-1)

4+x = -2

x = -2-4

x = -6 which is the x coordinate of point C

Repeat this same idea for the y coordinates

(5+y)/2 = 4

5+y = 2*4

5+y = 8

y = 8-5

y = 3 which is the y coordinate of point C

Therefore, point C is located at (-6, 3)

--------------------------

To verify the answer, you can use the distance formula to calculate the following segment lengths: AB and BC

You should find that AB = BC. This is because the midpoint splits segment AC into two smaller equal pieces.

Another way to verify the answer is to use the midpoint formula on points A(4,5) and C(-6,3). The result of using this formula should be B(-1,4) mentioned earlier.

Answer:

False

Step-by-step explanation:

..............

Answer:

True

Step-by-step explanation:

SOLUTION

From the what is given

We have the graph as shown below

We are told that the MAX is

Substituting these required points into the equation, our maximum becomes

We can see that the maximum is 25 at for units of 5, that is x = 5

But we are told in (B) that

Hence the surplus unit is

Hence the answer is 2

Answer:

y- 9 = 2 (x -1)

Step-by-step explanation:

When human body cells are exposed to hypertonic, isotonic, and hypotonic solutions, different consequences occur. Hypertonic solutions can cause cells to shrink or undergo plasmolysis, isotonic solutions maintain cell stability, and hypotonic solutions can cause cells to swell and potentially burst. Among these options, isotonic solutions are the best for the cells' overall well-being and function.

Hypertonic solutions have a higher solute concentration compared to the cell's cytoplasm. As a result, water moves out of the cell, leading to cell shrinkage or plasmolysis. This can disrupt cellular functions and may eventually lead to cell death if not corrected. Isotonic solutions have the same solute concentration as the cell's cytoplasm. In such a solution, there is no net movement of water across the cell membrane, and the cell remains stable. Isotonic solutions provide an ideal environment for cell functioning and maintain the cell's normal shape and volume.

Hypotonic solutions have a lower solute concentration than the cell's cytoplasm. Water moves into the cell, causing it to swell and potentially burst. This process is called cytolysis and can be detrimental to cell integrity and function. Considering these consequences, the best option for human body cells is an isotonic solution. Isotonic solutions maintain the stability and normal functioning of cells without causing them to shrink or swell. By maintaining an isotonic environment, cells can carry out their physiological processes effectively, including nutrient uptake, waste removal, and proper cell communication.

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When parallel lines e and f are cut by transversal b, the value of x is 37.

Angle a and angle x are what is known as a pair of alternate interior angles, which means they are congruent (have the same measure).

When two parallel lines are crossed by a transversal, this is always the case.

Thus, we know that a and x have the same value, and we may represent this using an equation: a = x.

Because we know that a equals 80 degrees, we can substitute that value into the equation:80 = x

Next, we'll look at the bottom right angle, which we'll call b. When two parallel lines are crossed by a transversal, the angles created by the transversal on the same side of the parallel lines are known as corresponding angles.

Because they are on the same side of the transversal, corresponding angles are congruent.

As a result, we can equate the values of angle x and angle b using another equation: x = b.

Because we know that angle b equals 117 degrees, we can substitute that value into the equation:

x = 117

To solve for x, we will now set the two equations for x equal to each other:

80 = x

x = 117

x = 37

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Yes, it is possible to have negative probabilities in some cases.

It is possible to have a negative probability?

First, for classical experiments, the probability for a given outcome on an experiment is always a number between 0 and 1, so it is defined as positive.

In some cases, we can have probability distributions with negative values, which are associated to unobservable events.

For example, negative probabilities are used in mathematical finance, where instead of probability they use "pseudo probability" or "risk-neutral probability"

Concluding, yes, is possible to have a negative probability.

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Answer:

13. 192 sq in

14. 243.375 sq in

Step-by-step explanation:

Answer:

yes!! finally a question i can solve:
so,

Step-by-step explanation:

Exact Form:

x = − 3/2

Decimal Form:

x = −1.5

Mixed Number Form:

x = -1  1/2

The graph of the line is shown in the attached image.

Given that the equation of the line y=-2/3x+1.

The line equation is an algebraic representation of the set of points, which together form a line in an exceedingly frame of reference.

First, we'll take the intercepts of equation y=-2/3x+1 . find

Find the y-intercept

The y-intercept is that the value of y when the worth of x is adequate zero

For x=0

y=-2/3(0)+1

y=1

The y-intercept is that the point (0.1)

Find the x-intercept

The x-intercept is that the value of x when the worth of y is adequate to zero

For y=0

y=-(2/3)x+1

0=(-2/3)x+1

-1=(-2/3)x

x=3/2 or 1.5

The y-intercept is that the point (1.5,0).

To plot the line on a graph, draw the intercepts and connect the dots as shown within the figure.

Therefore, the graph for the line y=-(2/3)x+1 is attached below.

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Answer:

age of father is 40 and son is 10

Step-by-step explanation:

let age of father be x

and age of son is y

At present,

x+y=50 eq 1

After 5 years,

Ages are,

Father = x+5

Son = y+5

As age of father is thrice so,

x+5 = 3(y+5)

x+5 = 3y+15

x-3y= 10 eq 2

Multiply eq 1 by 3

3x + 3y = 150 eq 3

Now, Add eq 2 and 3

4x = 160

x = 40 .................... ....... Age of father

Put x in eq 1

40 + y = 50

y = 10 ......................... Age of Son

Answer:

(C.) AC¯¯¯¯¯≅EG¯¯¯¯¯     is true

Step-by-step explanation:

The positions of the letters in naming the triangles in the statement of congruent tells you which sides are congruent.

△ABC≅△EFG

Sides AB and EF are congruent

△ABC≅△EFG

Sides BC and FG are congruent

△ABC≅△EFG

Sides AC and EG are congruent

Look at the choices:

(C.) AC¯¯¯¯¯≅EG¯¯¯¯¯     is true