One of the radioactive isotopes used in chemical and medical research is iodine-125, which has a half-life of 61 days. how long would it take for 0.25 g to remain of a 1.00 g sample of iodine-125?

The gross income over the whole week upon working during the day and at night is; $449.04.

Since, the pay rates during the day and night according to the task content are; $10.05 per hour and $12.01 per hr respectively.

It then means that the total gross total income can be calculated as follows;

(10.05 × 16) + (12.01 × 24)

= 160.8 + 288.24

= $449.04.

Therefore, the gross income over the whole week upon working during the day and at night is; $449.04.

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answer:

10:03 am

explanation:

9:00 am + 1 hour (60 min) + 3 min = 10:03 am.

Answer:

20cm^3

Step-by-step explanation:

Divide 90 by 4.5.

90/4.5 = 20

We can multiply the density ratio by this quotient in order to find the volume of a sample 20x the size of the ratio's sample.

(4.5 x 20)/(1cm^3 x 20)
90g/20cm^3

In this step, let's identify the clues provided in the questions. We have:

Since we know the mass and density of titanium, we can apply the density formula to determine the volume of titanium.

Footnote: I have included the formula in case if you need to know it.

[tex]\boxed{\text{Density} = \frac{\text{Mass (Grams)}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

To work out the volume of the titanium, we need to substitute the given clues from the question, into the formula. We have:

    [tex]\text{Density} = \dfrac{\text{Mass (Grams)}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

When we substitute the mass and the density of titanium, we have:

    [tex]4.5 \ \text{g/cm}^{3}} = \dfrac{\text{90 grams}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

Finally, let's simplify the equation.

    [tex]4.5 \ \text{g/cm}^{3}} = \dfrac{\text{90 grams}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

    [tex]1 \ \text{g/cm}^{3}} = \dfrac{\text{20 grams}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

    [tex]\text{Volume (cm}^{3}) = \dfrac{\text{20 grams}}{\text{1 g/cm} ^{3} }[/tex]

    [tex]\text{Volume (cm}^{3}) = \dfrac{\text{20 grams}}{\text{1 g/cm} ^{3} } = \dfrac{20 \ \text{grams} \ \times 1 \ \text{cm}^{3} }{1 \ \text{grams}} = \boxed{20 \ \text{cm}^{3}}[/tex]

Therefore, the volume of titanium is 20 cm³.

The formula in terms of h is h = 3V/s^2 and the value of h is 5

The equation is given as

V = 1/3s^2h

Divide both sides of the equation by 1/3s^2

So, we have

h = 3V/s^2

The given parameters are

V = 60 and s = 6

So, we have:

h = 3 * 60/6^2

Evaluate

h = 5

Hence, the formula in terms of h is h = 3V/s^2 and the value of h is 5

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Answer:

82,337

Step-by-step explanation:

   76,749

      5565

+         23
   82,337

Hope it helps!!!

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Check the picture below.

Answer:

1/3

Step-by-step explanation:

The rate of change in the submarine's elevation in feet per second is 5.2

According to the question ,

  She starts 174 feet below sea level

after 15 minutes she reaches 252 feet below sea level

distance travel in 15 minutes  = [tex]\frac{252 - 174}{15}[/tex]

                                                  = [tex]\frac{78}{15}[/tex]

                                                  = [tex]\frac{26}{5}[/tex]

                             Round off [tex]\frac{26}{5}[/tex]  =   5.2

There are certain rules to follow when rounding a decimal number. Put simply, if the last digit is less than 5, round the previous digit down. However, if it’s 5 or more than you should round the previous digit up. So, if the number you are about to round is followed by 5, 6, 7, 8, 9 round the number up. And if it is followed by 0, 1, 2, 3, 4 round the number down.

Here some Rounding Examples :

Consider the number 8.9163

8.9163 rounded to the nearest tenth is 8.9

Because 9 is followed by 1 and 1 is less than 5.

8.9163 rounded to the nearest hundredth is 8.92

Because 1 is followed by 6 and 6 is greater than 5.

8.9163 rounded to the nearest thousandth is 8.916

Because 6 is followed by 3 and 3 is less than 5.

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The equation for DE is [tex]8+9x[/tex]

According to the question statement, Line RQ bisects line DE at S. If DS = 10 + 3x and ES = -2 + 6x. We are supposed to find DE.

For solving this we need to know about Linear Equations and Bisector of a line.

Given that, DS = 10 + 3x and ES = -2 + 6x.

S is mid point of line DE as RQ bisects it.

So DS = SE

And DE = DS + SE

Hence, DE = [tex]10 + 3x + (-2 + 6x)[/tex]

DE = [tex]10 + 3x -2 + 6x[/tex]

DE = [tex]10 -2 +3x+6x[/tex]

DE = [tex]8+9x[/tex]

Hence equation of DE is 8+9x.

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

Explanation:

The output of an absolute value is never negative.

The result of |2x+2| can never be negative, so we will have no solutions for the portion |2x+2| < 0

There will be one solution for |2x+2| = 0 as shown in the steps below

|2x+2| = 0

2x+2 = 0

2x = -2

x = -2/2

x = -1

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

Check:

|2x+2|  ≤ 0

|2(-1)+2| ≤ 0

|-2+2| ≤ 0

|0| ≤ 0

0 ≤ 0

We get a true statement at the end to fully confirm the single solution of x = -1

Any 1 of the following transformations will work. There are others that are also possible.

translation up 4 units, followed by rotation CCW by 90°.

rotation CCW by 90°, followed by translation left 4 units.

rotation CCW 90° about the center (-2, -2).

Step-by-step explanation:

The order of vertices ABC is clockwise, as is the order of vertices A'B'C'. Thus, if reflection is involved, there are two (or some other even number of) reflections.

The orientation of line CA is to the east. The orientation of line C'A' is to the north, so the figure has been rotated 90° CCW. In general, such rotation can be accomplished by a single transformation about a suitably chosen center. Here, we're told there is a sequence of transformations involved, so a single rotation is probably not of interest.

If we rotate the figure 90° CCW, we find it ends up 4 units east of the final position. So, one possible transformation is 90° CCW + translation left 4 units.

If we rotate the final figure 90° CW, we find it ends up 4 units north of the starting position. So, another possible transformation is translation up 4 units + rotation 90° CCW.

Of course, rotation 90° CCW in either case is the same as rotation 270° CW.

_____

Answer:

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation i2 = −1; every complex number can be expressed in the form a + bi, where a and b are real numbers. Because no real number satisfies the above equation, i was called an imaginary number by René Descartes. For the complex number a + bi, a is called the real part and b is called the imaginary part. The set of complex numbers is denoted by either of the symbols {\displaystyle \mathbb {C} }\mathbb {C} or C. Despite the historical nomenclature "imaginary", complex numbers are regarded in the mathematical sciences as just as "real" as the real numbers and are fundamental in many aspects of the scientific description of the natural world.[1][a]

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Consider a=3 and b=4. The left hand side is 5 but the right hand side is 7.

Answer:

45 $

Step-by-step explanation:

20 x 2 = 40

40 + 5 = 45

Answer:

[tex] \frac{3x}{2} [/tex]

Answer:

119 r 9

Step-by-step explanation:

Answer:

we need to add [tex]a^{2}[/tex] to make it a perfect square.

Step-by-step explanation:

since we know

[tex]a^{2}+b^{2}-2ab=(a-b)^{2}[/tex]

then after compairing it with x² - 2xa

we have;

missing term as   [tex]a^{2}[/tex]

hence we need to add [tex]a^{2}[/tex] to make it a perfect square.

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Between the locations S(4,-3) and T(-2,2), there are 7.81 units between them.

The length of the line segment connecting two locations serves as a measure of the distance between them. Most importantly, the distance between two points is always positive and segments with the same length are known as congruent segments.

P(x1, y1) and Q(x2, y2) are two points, and the formula for their distance is provided by: d (P, Q) = (x2 - x1)2 + (y2 - y1) 2.

The points S(4,-3) and T are given.

Therefore, the distance (d) between S(4,-3) and T(-2,2) is as follows:

⇒ d (S, T) = √

² + (2 - (-3)) ².

⇒ d (S, T) = √ (-6)² + (5) ².

⇒ d (S, T) = √ 36+25

⇒ d (S, T) = √61

D (S, T) equals 7.81 units

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Answer:students are the independent because he will get a number of cards depending on how many students there are so its

s independent and c dependent

Step-by-step explanation:

Answer:

s = independent

c = dependent

The number of cards depends on the number of students in his class.

Hope this helps :)

Step-by-step explanation:

y=4x+rx+6

y-6=4x+rxy−6=4x+rx Subtract \ 6 \ from \ both \ sidesSubtract 6 from both sides

y-6=x(4+r)y−6=x(4+r) Factor \ out \ the \ common \ term \ xFactor out the common term x

\dfrac{y-6}{4+r} =x

4+r

y−6

=x Divide \ both \ sides \ by \ 4+rDivide both sides by 4+r

The translation of the function 2 | x | - 9 when translated 6 units up gives the function as 2 | x | - 3.

We are given a function:

2 | x | - 9.

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

We are asked to translate the function 6 units up.

This means that we have to add 6 units to the function.

A function has been “translated” when it has been moved in a way that does not change its shape or rotate it in any way.

So, we get that:

f(x) = 2 | x | - 9 + 6

f(x) = 2 | x | - 3

Therefore, the translation of the function 2 | x | - 9 when translated 6 units up gives the function as 2 | x | - 3.

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Answer:

it is positive

Step-by-step explanation:

-289+311=22 which is a positive number

1.7 miles, just do the total amount of what can be considered distance, then minus what she walked, resulting in the answer to be the amount of time ran.

Answer: 9.25

Step-by-step explanation: Round each number to the nearest place. For example, 26 would round to 30. Round each number until you get a certain number right before the hundredth place.

The marginal benefit from studying one extra hour is 5 percent.

Now,

Given:

To find: Marginal benefit on studying one hour extra.

Finding:

Now, marks scored on studying 4 hours is 80 percent and 5 hours is 85 percent.

Thus, the extra percentage that is scored is because of the 1 hour of extra studying.

The extra percentage = marginal benefit of studying extra = 85 - 80 = 5 percent.

Hence, the marginal benefit from studying one extra hour is 5 percent.

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