The remaining mass of radioactive iodine-131 is given by the formula M = Mo(2) 4/8 where M is the remaining mass in grams, Mo is the initial mass in grams, and t is the time in days. How many days does it take for the 726 grams to be reduced to half?

Answer:

4,239,505

Step-by-step explanation:

847,901 x 5 = 4,239,505

Answer:

Step-by-step explanation:

∠BCD=∠DEF=38°(alternate angles)

∠FDE=90-38=52°

Δ BCD≅ΔFED

[tex]\frac{CD}{sin~90} =\frac{10}{sin~38} \\CD=\frac{10}{sin~38} \\\frac{DE}{sin ~90} =\frac{17}{sin ~52} \\DE=\frac{17}{sin~52} \\CE=CD+DE=\frac{10}{sin~38} +\frac{17}{sin~52} \\=?[/tex]

Given that the solids are similar, we have:

1. 5/3

2. 4/25

3. 512/13,824

If two solids have a surface area of A and B respectively, and a and b are their respective corresponding linear measures, the following ratio would be true for the similar solids:

Surface area for A/Surface area for B = a²/b².

Volume for A/Volume for B = a³/b³.

1. If the two pyramids are similar, therefore:

Ratio of the height of larger to the smaller pyramid = √(525/189) = √(25/9)

Ratio of the height of larger to the smaller pyramid = 5/3

2. Ratio of the linear measure of the smaller prism to the larger prism = ∛(24/375)

=  ∛(8/125) = 2/5

Ratio of their surface area = 2²/5²

Ratio of their surface area = 4/25.

3. Ratio of the volume of the smaller cyinder to that of the larger = 8³/24³

= 512/13,824

Learn more about similar solids on:

https://brainly.com/question/16599646

Answer:

84

Step-by-step explanation:

Given,

Length of the print(l) = 24 inches

Width of the print(b) = 18 inches

Perimeter of the print(P)= ?

We know,

Perimeter of the print(P) = 2(l + b)

= 2(24 + 18)

= 2(42)

=84 inches^2

Answer:

2x² + 7x + 3 = 0

Step-by-step explanation:

[tex]\sf \text{Sum = -3 + $(\dfrac{-1}{2})$}[/tex]

                    [tex]\sf = \dfrac{-3*2}{1*2}-\dfrac{1}{2}\\\\=\dfrac{-6}{2}-\dfrac{-1}{2}\\\\=\dfrac{-7}{2}[/tex]

[tex]\sf \text{Product =$-3*\dfrac{-1}{2}$}[/tex]

                         [tex]= \dfrac{3}{2}[/tex]

Quadratic polynomial:

[tex]\boxed{x^{2}-sum *x+product = 0}[/tex]

[tex]x^{2}- \left(\dfrac{-7}{2}\right)x+\dfrac{3}{2}=0\\\\x^{2} + \left(\dfrac{7}{2}\right)x+\dfrac{3}{2}=0\\[/tex]

Multiply the entire equation by 2

[tex]2*x^{2} + 2*\dfrac{7}{2}x +2*\dfrac{3}{2}=0[/tex]

2x² + 7x + 3 = 0

Answer:

....

Step-by-step explanation:

The total tickets sold is 10+15=25.

The percentage of tickets told by me will me 15/25=3/5 or 60%.

Similarly for the second one: total sold 9+16=25

my proportion 9/25=36%

The Pythagorean identities are sin² θ + cos² θ = 1, 1 + tan² θ = sec² θ, and 1 + cot² θ = cosec² θ. Then the correct options are B, C, and E.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

We know that

[tex]\rm H^2 = P^2+B^2[/tex]

Divide the  equation by H², then we have

[tex]\rm\dfrac{P^2}{H^2}+\dfrac{B^2}{H^2} = 1 \\\\\sin ^2 \theta + \cos ^2 \theta = 1[/tex]

Similarly, the equation is divided by P² and B², then we have

[tex]\rm 1 + \tan ^2 \theta = \sec ^2 \theta \\\\1 + \cot ^2 \theta = cosec ^2 \theta[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer: 7 bulbs

Step-by-step explanation: 21/3

Answer: Non

Step-by-step explanation:

If Andrew has 10 fish 4 dies he ends up with six. If 3 swim away he will have 1. If 1 does he would end up with non left.

Answer:5

Step-by-step explanation:

10 fish, 4 drown, so now 6 left,one dies, 5 left, and 3 swim away yet they are still his. They can't swim away in a fish tank.

hope it helped :D

Answer:

Step-by-step explanation:

Let the length be L

Formula

SA = 2Lw + 2Lh + 2wh

Givens

h = 15 cm

w = 6 cm

L = ?

SA = 684 cm^2

Solution

Substitue what you know into the given formula

2*6*L + 2*15*L + 2 * 6 * 15 = 684         Combine

12*L + 30*L + 180 = 684                         Combine again

42L + 180 = 684                                     Subtract 180 from both sides.

42L +180 -180 = 684 - 180            

42L = 504                                               Divide by 42

Answer: L = 12

Answer:

Mrs. Burgess will save $48 by buying a monthly pass.

Step-by-step explanation:

Let's compare the one-day pass to the monthly pass by finding how much 20 one-day passes will cost.

Multiply the price for a one day pass, $9.65, to the gym by 20 days:

Compare this price to the monthly pass price by subtracting these values.

If Mrs. Burgess buys the monthly pass of $145 instead of buying 20 day passes for $193, she will save $48.

Answer:

No 3.

[tex]165 \: \times \frac{103}{100} [/tex]

No 5.

[tex]15 \: \times \frac{100 + 17}{100} [/tex]

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Answer:

3. 169.95

How:

165x1.03 =  169.95

Answer:

Step-by-step explanation:

           =3(4)^2 + 4 + 8

           =3(16) + 4 + 8

            = 38 + 12

            = 60

Answer:

2 factors

Step-by-step explanation:

Answer:

22.5 cm^2

Step-by-step explanation:

Amount of paper is going to be measured in area, so we want the surface area of the cone.  Since it is a cub it doesn't have a base, so we don't need to count it.  

Area of the cone without the base, or what is called the lateral area is pi*r*s where r is the radius and s is the slant height.  and of course radius is d/2 where d is the diameter.  so let's plug it in.  We know diameter is 6 and slant height is 7.5

SA = pi * r * s

SA = pi * d/2 * s

SA = pi * 6/2 * 7.5

SA = 22.5 cm^2

So you will need 22.5 square centimeters of paper.

Answer:

1st one is A. 2nd is D. 3rd is A. 4th is C. and the 5th one is B

Step-by-step explanation:

The probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.

The surveys are chosen with replacement (the first one is replaced before the second is chosen), and the events are independent.  

This means that the probability of both together is the product of each event's probability.

The probability of choosing a survey that indicates 4 children in the family is 8/60 since there are 8 surveys with 4 children out of a total of (9+18+22+8+3) = 60 surveys.

The probability of choosing a survey that indicates 1 child is 9/60 since there are 9 surveys with 1 child out of a total of 60.

Together this gives us;

[tex]= \dfrac{8}{60} \times \dfrac{9}{60}\\\\ =\dfrac{ 72}{360} \\\\ =\dfrac{1}{5}[/tex]

Hence, the probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.

To know more about probability click the link given below.

https://brainly.com/question/13379260

Answer:

1/50

Step-by-step explanation:

Answer:

14w

Step-by-step explanation:

Width = w

Length is 6 time its width. so, multiply w by 6

length = 6*w = 6w

Perimeter of rectangle = 2* (length + width)

                                        = 2*(6w + w)

                                        = 2*7w

                                         = 14w

Answer:

8 meters of ribbon

Step-by-step explanation:

because a square has four sides so if you do 2×4 =8

Answer:

y-4=-2/5(x+5)

Step-by-step explanation:

Points slip form is y-y₁=m(x-x₁)

Since you have a graph we can see the line goes down 2 and over 5. Since the slope is going downwards it is a negative slope. This mean m=-2/5. Then pick any point on the line ( I chose (-5,4)) and plug it in for y₁ and x₁.

By taking a quotient, we will see that the number of guests is 540.

Because we know that each guest ate a fixed amount of pizza, and there was no pizza left, we know that the number of guests will be equal to the quotient between the total number of pizzas bought, and the amount of pizza that each guest ate.

This is:

[tex]N = \frac{90}{1/6}[/tex]

We can rewrite that quotient as:

[tex]N = \frac{90}{1} / \frac{1}{6} = \frac{90*6}{1*1} = 540[/tex]

So the number of guests is 540.

If you want to learn more about quotients, you can read:

https://brainly.com/question/7068223

Answer:

Step-by-step explanation:

sine and cosecant : positive in Q1 and Q2

cosin and secant:   positive in Q1 and Q4

tangent and cotangent:  positive in Q1 and Q3.

Answer:

Quadrant I

Step-by-step explanation:

In the first quadrant all the 6 functions are positives.

Think instead of (x, y) any point has now the coordinate (cos α, sin α) so in quadrant I we have x, y positive therefore sin α and cos α are positive.

Tangent α is positive because is sinα/cosα = positive /positive = a positive

Cotangent α= 1/tan α = cosα / sinα = positive /positive = a positive

Secant α = 1/cos α = 1/ a positive number = a positive number

Cosecant α = 1/sin α = 1/ a positive number = a positive number

Answer:

-18

Step-by-step explanation:

9x + 4y = -3 (Given)

Multiply both sides of the equation by 6, we find:

6(9x + 4y) = 6(-3)

-> 6(9x + 4y) = -18

Answer:

-18

Step-by-step explanation:

Given

We need to evaluate 6(9x + 4y).

Substitute the value of 9x + 4y in the expression.

Answer:

If I understood what you mean properly... 0

Step-by-step explanation:

Answer:

$49.29 Give me brainliest please

Answer:

As Per Provided Information

Diameter of Garden 12 yards

Radius of Garden will be 12/2

Radius of Garden will be 6 cm

We have been asked to find the area of the circular garden .

Formula Used here

[tex] \underline{\boxed {\bf \: Area_{(Garden)} \: = \pi {r}^{2}}} [/tex]

Just put the value and let's calculate the area of circular garden .

[tex] \qquad \longrightarrow\sf \: Area_{(Garden)} \: = 3.14 \times {6}^{2} \\ \\ \\ \qquad \longrightarrow\sf \: Area_{(Garden)} \: = 3.14 \times 36 \\ \\ \\ \qquad \longrightarrow\sf \: Area_{(Garden)} \: = 113.04 \: {yard}^{2} [/tex]

Therefore,

Step-by-step explanation:

Given :-

We have to find the area of garden

Area of Circle = πr²

Putting the known values ,

Area = 3.14 × 6² yd²

Area = 113.04 yd²