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QUESTION IS IN ATTACHMENT

Answer:

96

Once again, apologies for the chicken scratch

Answer:

$96

Step-by-step explanation:

→ Work out the discount multiplier

( 100 - 20 ) ÷ 100 = 0.8

→ Multiply answer by price

0.8 × 120 = $96

Answer:

Ending Amount = beginning amount / 2^n  where "n" is the number of half-lives or elapsed time / half-life

For this problem "n" = 25 / 11 = 2.2727272727

Ending Amount = 60 grams / 2^2.2727272

Ending Amount = 60 / 4.832357534

Ending Amount = 12.4162998242 grams

Source: www.1728.org/halflife.htm

Step-by-step explanation:

A radionuclide is a nuclide with excessive nuclear energy, which makes it unstable. The element would remain after 25 years, to the nearest whole number is 2 grams.

A radionuclide is a nuclide with excessive nuclear energy, which makes it unstable. This surplus energy can be discharged as gamma radiation from the nucleus, transferred to one of its electrons and released as a conversion electron, or used to generate and produce a new particle from the nucleus.

Given the life of radioactive material is stated by the formula,

[tex]N_t = N_o e^{-\lambda t}[/tex]

Now, given the half-life of the comes in 11 years, therefore, the rate of decay will be,

[tex]N_t = N_o e^{-\lambda t}\\\\\dfrac{N_t}{ N_o }=e^{-\lambda t}\\\\0.5 = e^{-\lambda \times 11}\\\\\dfrac{ln(0.5)}{11}=\lambda[/tex]

λ = 0.14631

Given the initial mass is 60 grams, therefore, the amount that will be remaining after 25 years will be,

[tex]N_{25} = 60 \times e^{(-0.14631\times 25)}\\\\N = 1.5474\rm\ grams \approx 2\ grams[/tex]

Hence, the element would remain after 25 years, to the nearest whole number is 2 grams.

Learn more about Radioactive Isotopes:

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Answer:

25.1333 per second

Step-by-step explanation:

1508 per min

Answer:

4 hours

Step-by-step explanation:

Answer:

34 yd²

Step-by-step explanation:

Area of the shaded region = area of the outer rectangle - area of the inner rectangle

Area of outer rectangle = L*W = 13*6 = 78 yd²

Area of inner rectangle = L*W = 11*4 = 44 yd²

Area of the shaded region = 78 - 44 = 34 yd²

Answer:

The first one

Step-by-step explanation:

We need to find out how much chairs there are in each of the 7 rows, so we put it as 7c. The last row has 7 chairs, so we use an addition sign to include that. Since there are 70 chairs in total, the sum is 70.

Hope this helps!

Answer:

  24 ft³

Step-by-step explanation:

The volume formula for a rectangular prism is ...

  V = LWH

  V = (4 ft)(2 ft)(3 ft) = 24 ft³

The volume of the fish tank is 24 cubic feet.

Answer:

a) 8.2 in^3 b) 25.8 in^3 c) 17.6 in^3

Step-by-step explanation:

volume of cone=(1/3)π(r^2)*h

a) 8.2 in^3

regular ice cream cone=(1/3)π(1.25^2)*5=8.18=8.2 in^3

b) 25.8 in^3

waffle cone=(1/3)π(1.875^2)*7=25.77=25.8 in^3

c) 17.6 in^3

waffle cone-regular ice cream cone= 25.8-8.2=17.6 in^3

Answer:

I believe it is D

Step-by-step explanation:

Not 100% dont trust double check

The calculated quadratic function for the height of the rocket is "[tex]h = 64t - 16.085t^2[/tex]" and the further calculation of the given points can be defined as follows:

For point A):

Rocket Initial velocity (u) [tex]= 64 \ \frac{feet}{sec}[/tex]

Considering gravity's acceleration of 32.17 feet/sec2

The rocket's height can be expressed as follows:

[tex]h = ut - \frac{1}{2} \times 32.17 \times t^2 \\\\h = 64 - 16.085 \times t^2 \\\\h = 64t - 16.085t^2[/tex]

For point B):

A y-axis indicates its rocket's height in feet, whereas the x-axis represents the duration in seconds.

Please find the attached file.

For point C):

Find out more information about the velocity here:

brainly.com/question/25749514

Answer:

A.

Step-by-step explanation:

Answer:

-79

Step-by-step explanation:

The volume of figure B that is similar to figure A is: 44 cu. ft.

If the volumes of two figures are A and B respectively, and their radius is a and b respectively, then, Volume of A/volume of B = a³/b³.

Given that figures A and B are similar, we would have the following ratio:

352/volume of B = 4³/2³

352/volume of B = 64/8

352/volume of B = 8

Volume of B = 352/8

Volume of B = 44 cu. ft.

Learn more about the volume of similar figures on:

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9514 1404 393

Answer:

  56 feet

Step-by-step explanation:

Let x represent the height of the pole. Then the distance to the anchor point is (x-23), and the length of the wire is (x+9). The Pythagorean theorem tells you the relation between these values is ...

  (x+9)² = x² +(x -23)²

  0 = x² -64x +448 . . . . . subtract the left side, put in standard form

  0 = (x -8)(x -56) . . . . . . factor

The solutions to the quadratic are x=8 and x=56. For our purposes, we require x > 23 so the distances are positive. That means x=56 is the solution of interest.

The pole is 56 feet tall.

Answer:

138.0700636942675[tex]\pi[/tex]

Step-by-step explanation:

Answer:

25%

Explanation:

the profit made by the shopkeeper would be the difference between the selling price and cost price, which can be found using the equation $15 - $12 = $3.

now, we can find the profit percent using the difference ($3) and the cost price ($12):

$3 ÷ $12 × 100% = 25% (since $3 is 25% of $12, so the $3 increase in price is a 25% increase)

i hope this helps! :D

Answer: 9

Step-by-step explanation: because 3/4 of an hour is 45 minutes and 45/5 is 9 and it’s in 5 min segments that’s why you divide 45 by 5

sorry for the first one i read the question wrong

m = 0 , b = - 1+6cos (39)...

Answer:

x = 1 and x = 7

Step-by-step explanation:

The given equation is [tex]x^2 - 8x + 7 = 0[/tex].

We need to solve the equation.

It is a quadratic equation whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, a = 1, b = -8 and c = 7

Put values,

[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]

So, the values of x are x = 1 and x = 7.

Answer: 389.69

Step-by-step explanation:

Answer: $29.70

Step-by-step explanation:

total x tax rate= 359.99 x 8.25 = 2969.92

divide by 100% = $29.70

sales tax total: $29.70

Answer:

18.45

Step-by-step explanation:

Answer:

40 square meters

Step-by-step explanation:

Perimeter means to add up all sides.

area means one side times one side

10 times 10 makes 100 so i am guessing each side is 10

10 + 10 + 10 + 10 = 40

Answer:

11/12

Step-by-step explanation:

5/4 ---- 15/12

1/3------ 4/12

11/12

Answer:

11/12

Step-by-step explanation:

Hello! The answer to this question is 11/12. In this case, we want to make the denominator the same. To make the denominator the same we need to find the lowest common multiple. In this case the lowest common multiple is 12, (because 12 is the smallest number that 3 and 4 are both factors for.) 4x3=12 so now the denominator in 5/4 is 12 but whatever we do the bottom we do to the top. So since we multiplied the bottom (denominator) by 3 we have to multiply the top (numerator) by 3 as well. 5x3=15. Therefore, we now changed 5/4 to 15/12. Now, we have to do the same to the 1/3. 3x4= 12. 1x4=4. Now we have the two numbers, 15/12 and 4/12. 15/12-4/12=11/12! Therefore, your answer is 11/12. Hope this explanation helps! Happy learning!

9514 1404 393

Answer:

  11. inconsistent information

  12. 26°

Step-by-step explanation:

11. The given numbers are inconsistent. (The first attachment shows one of the 4 possible solutions.)

__

12. In order to find angle C, we need to know side AC. We can find that using the Law of Cosines.

  b = √(a² +c² -2ac·cos(B)) = √(19² +15² -2(19)(15)cos(120°)) = √871

  b ≈ 29.513

Then angle C is found from the Law of Sines.

  C = arcsin(c/b·sin(B)) = arcsin(15/29.513·sin(120°)) ≈ 26.11°

Angle C is about 26°.

The second attachment shows the output of a triangle solver.

9514 1404 393

Answer:

  1344 cubic meters

Step-by-step explanation:

The volume is the product of the dimensions for a rectangular prism:

  V = LWH

  V = (4 m)(3 m)(112 m) = 1344 m³

Kate needs a volume of 1344 cubic meters.

Answer:

51/100

Step-by-step explanation: