In the late nineteenth century, the scientist Marie Curie performed experiments that led to the discovery of radioactive substances. A radioactive substance is a substance that gives off radiation as it decays. Scientists describe the rate at which a radioactive substance decays as its half-life. The half-life of a substance is the amount of time it takes for one-half of the substance to decay. Radium has a half-life of 1600 years. How much radium will be left from a 1000-gram sample after 1600 years?

Answer:

hheikxkhyujherik

Step-by-step explanation:

iieeokwe7ib2tui

The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.

The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.

The area under the standard normal distribution curve between z=o and z=1.47 can be found as,

Area = (Z=1.47) - (Z=0)

As per the z-table the values of z are,

Z = 1.47 = 0.9292

z = 0 = 0.5

Area = 0.9292 - 0.5

Area = 0.4292 = 42.92%

Thus, The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.

Learn more about Standard Normal Distribution:

https://brainly.com/question/25447725

#SPJ2

Answer:

2.096

Step-by-step explanation:

Answer:

$4.20

Step-by-step explanation:

0.15 x $28.00=$4.20.

Answer:

1. -15

2. 3

3. -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image.

5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.

Step-by-step explanation:

Given that it is a 5 kilometre race.

Time to be reduced each month = 15 seconds

Total number of months left in the race = 3

1. Riley wants to achieve each month a decrease of 15 seconds.

Integer representing the change = -15

2. Change in time i.e. 3 months is represented by integer 3.

3. There are a total of 3 months and there is a decrease of 15 every month.

so, multiplication expression is: -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image for the number line representation of the answer.

The arrow is from 0 to -45.

5. Total change in time is -45.

This change represents that achieving the goal will reduced the time by 45 seconds.

Answer:

The number of tickets for sale at $26 should be 3300

The number of tickets for sale at $40 should be 1700

Step-by-step explanation:

Use 2 equations to represent the modifiers within the problem:

[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]

Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.

[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]

Answer:

2x-6

Step-by-step explanation:

The first step is to distribute

The second step is to combine like terms and since its an expression you will not have a solution

Step-by-step explanation:

The equation is given by :

63.25=800r+3.50

Here,

63.25 is the electric company charges

3.5 is an administrative fee

800 is charge per kilowatt hours

r is rate per kilowatt hour

In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.

We can solve it as follows :

63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)

59.75=800r

[tex]r=\dfrac{59.75}{800}\\\\r=0.0746[/tex]

Answer:

24 and 72

Step-by-step explanation:

just multiple them both by 6

Answer:

For factoring by grouping to apply, the ratio of the first two terms must be equal to the ratio of the last two terms

Step-by-step explanation:

Here, we want to select which of the options must be present in order for factoring by grouping to apply.

The correct answer is that the ratio of the first two terms must be equivalent to the ratio of the last two terms

What this mean is that we must have an equal ratio two times

This practically plays out each time we are to factorize quadratic expressions

For example, in the case of

x^2 -12x + 20

This can be written as;

x^2 - 10x - 2x + 20

which can then be written as x(x-10) -2(x -10)

= (x-2)(x-10)

The first two terms have a ratio of ;

x^2/-10x while the last two terms have a ratio -2x/20

Thus, we have -x/10 and -x/10

We can see here that the ratios of both sets are equivalent

Answer:

The ratio of the first two terms must be equivalent to the ratio of the last two terms

Answer:

your answer is x= 3

Hope this helps!

Answer: we cant use any patterns

Step-by-step explanation:

Answer:

Definition. A pronoun (I, me, he, she, herself, you, it, that, they, each, few, many, who, whoever, whose, someone, everybody, etc.) is a word that takes the place of a noun. In the sentence Joe saw Jill, and he waved at her, the pronouns he and her take the place of Joe and Jill, respectively.

Answer:

23

Step-by-step explanation:

Given :

A ticket to see your favorite baseball team costs ​$30.08.

That price decreases by ​$0.42 for every game lost during the regular season.

To Find :

What equation could you use to find the cost C of a ticket after L​ losses.

Solution :

Let, n is number of match loses and P is the price of ticket.

So, equation is given by :

P = 30.08 - (0.42)n           .......1)

Putting n = 27 in above equation,we get :

P = 30.08 - ( 0.42 )( 27 )

P = $18.74

Therefore, the price of a ticket after the team loses 27 ​games is $18.74 .

Hence, this is the required solution.

Answer:

80 percent

Step-by-step explanation:

Answer:

There will be 1 balloon left over.

Step-by-step explanation:

Each kid will be able to get 13 balloons, and 4 times 13 is 52, so 1 balloon will be left.

Answer:

Step-by-step explanation:

Because 4 times 13 = 52

4 times 13.25 = 53

Each kid will get 13, but

in return, you will get 1 of your balloon's left.

Hope this helps! <3

Step-by-step explanation:

[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]

The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]

Two or more expressions with an Equal sign is called as Equation.

Let us find the inverse of the equation y = 16x² + 1.

To find inverse we need to replace y with x and x with y in the original equation to obtain:

x = 16y² + 1

Now solve for y in terms of x by rearranging the terms

x - 1 = 16y²

Divide both sides by 16

y² = (x - 1)/16

Take square root on both sides.

y = ±√[(x - 1)/16]

Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:

y = ±√[(x - 1)/16]

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip A.

Answer:

Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. ... Constraints then become necessary to allow the mathematical model to realistically represent the situation. hope this helps!

Step-by-step explanation:

Answer: Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. Constraints then become necessary to allow the mathematical model to realistically represent the situation

Answer:

117 yd/1 x 3 ft/1 yd = 351 ft

Step-by-step explanation:

[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]

A runner sprinted for 351 feet.

Given that, a runner sprinted for 117 yards (yd).

To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.

Here, multiply the ratio 117/1 by 3/1.

That is, 117 × 3 =351 ft

Therefore, a runner sprinted for 351 feet.

To learn more about the metric conversion visit:

https://brainly.com/question/21244256.

#SPJ5

Answer: $249,300

Step-by-step explanation:

The exact formula would be if I think this is right

PV = PMT(1-(1+r)^-n)/r with r & n adjusted for periodicity

= 1400(1-(1+.054/12)^-360)/(.054/12)

= $249,318.47

which you can round off to, say, $249,300 <------

note:

counterchechecked with a financial calculator

Answer:

239,600

Step-by-step explanation:

If a triangle is equilateral, then each of its angles measures 60°. Therefore, option D is the correct answer.

An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60° therefore, it is also known as an equiangular triangle.

The given statements are

(1) If a triangle is equilateral, then it has three congruent sides.

(2) If all the sides of a triangle are congruent, then each of its

Here, if a triangle is equilateral, then each of its angles measures 60°.

Therefore, option D is the correct answer.

To learn more about an equilateral triangle visit:

https://brainly.com/question/17824549.

#SPJ2

Answer: Distribute the 10

Step-by-step explanation: PEMDAS (p is parentheses)

-9 - (-4) is the same as -9 + 4 because subtracting a negative is the same as addition. I'm not quite sure how to represent it with the integer chip model, but basically, taking away -4 from -9 is the same as adding positive 4 to -9.

Perhaps draw the 9 negative chips and place the four negative chips under it, then cross out those that correspond to show that it is increasing in sum?

17x = 32

x = 1.882

23x = 23 x 1.882 = 43.286 = 43 balls

Answer:

basically u do the formulas and plug them in.

Step-by-step explanation: