It is a popular misconception that nuclear fusion power is free of radioactivity; in fact, the deuterium-tritium reaction that nuclear scientists are currently exploring with such zeal produces both alpha particles and neutrons. (The neutrons are used to produce tritium from a lithium blanket surrounding the reactor.) Another common misconception is that nuclear fusion power is a virtually unlimited source of energy because of the enormous quantity of deuterium in the sea. Actually, its limits are set by the amount of available lithium, which is about as plentiful as uranium in the Earth's crust. Research should certainly continue on controlled nuclear fusion, but no energy program should be premised on its existence until it has proven practical. For the immediate future, we must continue to use hydroelectric power, nuclear fission, and fossil fuels to meet our energy needs. The energy sources already in major use arc in major use for good reason.

Answer:

[tex]y = 4*5^x[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-3,\frac{4}{125})[/tex]

[tex](x_2,y_2) = (1,20)[/tex]

Required

Determine the exponential equation

An exponential equation is of the form: [tex]y = ab^x[/tex]

In: [tex](x_2,y_2) = (1,20)[/tex]

[tex]20 = ab^1[/tex]

[tex]20 = ab[/tex] ---- (1)

In: [tex](x_1,y_1) = (-3,\frac{4}{125})[/tex]

[tex]\frac{4}{125} = ab^{-3}[/tex] --- (2)

Divide (1) by (2)

[tex]20/\frac{4}{125} = \frac{ab}{ab^{-3}}[/tex]

[tex]20/\frac{4}{125} = b^4[/tex]

[tex]20*\frac{125}{4} = b^4[/tex]

[tex]5*125 = b^4[/tex]

[tex]625 = b^4[/tex]

Take 4th roots of both sides

[tex]\sqrt[4]{625} = b[/tex]

[tex]5 = b[/tex]

[tex]b = 5[/tex]

Substitute [tex]b = 5[/tex] in [tex]20 = ab[/tex]

[tex]20 = a * 5[/tex]

Solve for a

[tex]a = 20/5[/tex]

[tex]a = 4[/tex]

Hence, the equation is:

[tex]y = 4*5^x[/tex]

Answer:

64.8 ft

Step-by-step explanation:

A square has all its sides equal

Therefore to get one side from its area is simply finding the square root of its area

√262.44=16.2ft

Having the one side then perimeter= to the four equal sides × the dimensions of one side

=4×16.2

=64.8 ft

Step-by-step explanation:

Rewrite the function as an equation.

[tex]y = - \frac{x}{3} + 8[/tex]

Rewrite in slope-intercept form.

[tex]y = - \frac{1}{3} x + 8[/tex]

Use the slope-intercept form to find the  slope  and  y-intercept.

Slope : - 1/3

y-intercept: (0,8)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Graph the line using the slope and the y-intercept, or the points.

Answer:

Step-by-step explanation:

I'm going to guess that 1/2 the size means the sides are 1/2 the size.

Square 1 has an area of 24. The sides are s, so the area is found by using s^2

The second square is made from sides that are 1/2 s

Area = 1/2 s * 1/2 s

Area = 1/4 s^2

Area 1 / area 2 = 24 / x^2 = s^2 / 1/4 s^2 =  1/0.25

Answer:

C≈524.65m

Solving for C

C=πd=π·167≈524.64597m

Answer:

The answer is maybe going to be D which is 33 million

Step-by-step explanation:

New york is a big city

Answer:

b=2sqrt14

A=33.7°(rounded to nearest tenth)

B=56.3°

Step-by-step explanation:

Pythagorean theorem= sqrt(c^2-a^2)=sqrt(9^2-5^2)=2sqrt14

angleA= sin^-1(5/9)=33.7°

angleB=90°-33.7°= 56.7°

Hopefully that makes sense

Answer:

68

Step-by-step explanation:

9514 1404 393

Answer:

  3629.84 cm²

Step-by-step explanation:

Put the given numbers into the area formula and do the arithmetic.

The area of a sphere is given by ...

  A = 4πr²

  A = 4(3.14)(17 cm)² = 3629.84 cm²

The ball has a surface area of about 3629.84 cm².

Answer:

286°

Step-by-step explanation:

A circle is the locus of a point such that its distance from a fixed point (known as the center) is always constant. This distance is known as the radius of the circle.

A major arc is an arc larger than a semicircle, therefore its measure is greater than 180°. A minor arc is an arc smaller than a semicircle, therefore its measure is less than 180°.

The arc measure of [tex]\stackrel{\large{\frown}}{ACB}=angle\ about\ a\ point-\stackrel{\large{\frown}}{AB}[/tex]

The arc measure of [tex]\stackrel{\large{\frown}}{ACB}=360-74=286^o\\[/tex]

Answer:

[tex] {x}^{2} - 2x + 3 = - 6x \\ = {x}^{2} - 2x + 6x + 3 = 0 \\ \\ = {x}^{2} + 4x + 3 = 0 \\ = (x + 1)(x + 3) \\ = x = - 1and \: x = - 3[/tex]

Answer:

13

Step-by-step explanation:

Since -5 is less than zero, we use the second equation, and substitute the -5 in for the x.

-2(-5)+3=13

Answer:

K-5

Step-by-step explanation:

Five less than K would be K-5.

Answer:

haha there is no question

Step-by-step explanation:

aww please check if there are more expect around to answer

Answer:

25

Step-by-step explanation:

Ratios:

[tex]\frac{36}{100} =\frac{9}{x} \\\\36x=900\\x=25[/tex]

Double check:

25(0.36) = 9

Answer:

3, 0

Step-by-step explanation:

first number is on the horizontal line and the second number on the vertical line

Answer: (3, 0)

Step-by-step explanation: To get to point B from the origin, we move 3 units to the right and 0 units up or down so our point has the coordinates (3, 0).

Remember to always go left or right first, which represents x,

then up or down, which represents y.

9514 1404 393

Explanation:

Garment factory: workers may get paid by the number of pieces they complete.

__

Wood chopping: the worker gets paid by the number of cords of wood they produce, not by how long it takes.

__

Haircut -- the cost is the same (for the same type haircut) even if more time is spent

____

The above are instances where an individual worker gets paid by the piece they produce. There are numerous instances of companies getting paid by the job, regardless of the length of time or the quantity of materials required to do the job.

Lawn mowing -- the price is fixed each time the crew mows the lawn

Oil Change -- the cost of changing the oil in the car is not dependent on the time it takes or the amount of oil used

Car wash -- a fixed price is paid each time (at an automatic car wash)

Answer:

Percent error = -4.02 (Approx.)

Step-by-step explanation:

Given:

Estimated pool dimension = 15 ft long and 35 ft wide

Actual pool dimension = 14.5 ft long and 34.75 ft wide

Find:

Percent error

Computation:

Area of Estimated pool = 15 x 35

Area of Estimated pool = 525 ft²

Area of Actual pool = 14.5 x 34.75

Area of Actual pool = 508.875 ft²

Percent error = [(Actual - Estimated) / Estimated]100

Percent error = [(508.875 - 525) / 525]100

Percent error = [(-21.125) / 525]100

Percent error = -4.02 (Approx.)

Answer:

$220.2

Step-by-step explanation:

Multiply 18.35 to 12

Answer:

After 16 months there will be a population of 1,944 insects.

Step-by-step explanation:

Since an insect population triples every 4 months, if the population started out with 24 insects, to determine how many insects would there be in 16 months, the following calculation must be performed:

X = 24 x 3 ^ (16/4)

X = 24 x 3 ^ 4

X = 1,944

Thus, after 16 months there will be a population of 1,944 insects.

Answer:

1st-Hook

2nd- Thesis statement

3rd-context

Step-by-step explanation:

1- hook is to attract the reader, like a line to a song that is catchy! you want to draw the reader in!

2- Thesis statment

3- give context on the thesis statement! to further prove.

good luck

Answer:

Dec 10

Step-by-step explanation:

0.25 liter = 250 ml

4 ml * 3 = 12 ml

250/12 = 20.83 days

Nov 20 - Nov 30: 11 days

Dec 1 - Dec 9: 9 days

On December 9, she can still take her 3 doses.

By December 9, she will have taken 12 ml per day for 20 days for a total of 240 ml. She has 10 ml left for Dec 10th.

On Dec 10, she will take 2 doses of 4 ml and 1 dose of 2 ml, and she will finish the medicine.

Answer:

OB

Step-by-step explanation:

when we multiple 4 by 3 because they are like terms they give us 12

Answer:

$81.25

Step-by-step explanation:

First find 35% of 125 which is 43.75

Next subtract 43.75 from 125

Your answer is $81.25

Answer:

18

Step-by-step explanation: