Consider the inequality x<1. Determine whether each value of x makes the inequality trueSelect Yes or No va Yes No 3/2 13/6

Answer:

the time taken for the radioactive element to decay to 1 g is 304.8 s.

Step-by-step explanation:

Given;

half-life of the given Dubnium = 34 s

initial mass of the given Dubnium, m₀ = 500 grams

final mass of the element, mf = 1 g

The time taken for the radioactive element to decay to its final mass is calculated as follows;

[tex]1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} = (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500}) = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s[/tex]

Therefore, the time taken for the radioactive element to decay to 1 g is 304.8 s.

The time required to decay 500 grams to 1 gram is 304.8 seconds and this can be determined by using the given data.

Given :

Dubnium-262 has a half-life of 34 s.

Final mass = 1 gram

Initial mass = 500 gram

Time taken by a radioactive element to decay is:

[tex]1 = 500(0.5)^{\frac{t}{34}}[/tex]

Simplify the above equation.

[tex]\rm \dfrac{1}{500} = (0.5)^{\frac{t }{34}}[/tex]

Now, take the log on both sides in the above equation.

[tex]\rm log(0.002 ) = \dfrac{t}{34}\times log(0.5)[/tex]

[tex]\rm \dfrac{log(0.002)}{log(0.5)} \times 34 = t[/tex]

t = 304.8 sec

So, the time required to decay 500 grams to 1 gram is 304.8 seconds.

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Answer:

5 steps

Step-by-step explanation:

Turn 5/4s into 10/8s and it becomes really easy

The number of steps Erin could paint if he has 5/4 parts of paint, and she needs 2/8 of paint for each stair step, is 5.

It is a basic operation of mathematics in which you divide a number into smaller parts.

Given:

Erin has 5/4 quarts of paint,

2/8 of paint for each stair-step,

Calculate the number of steps painted as shown below,

Number of steps = total paint / paint required for each step

Number of steps = 5/4 / 2/8

Number of steps =

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El ejercicio completo con las opciones de respuesta está a continuación:

Los primeros días de enero el representante  del mercado recibió cierta cantidad de dinero,hizo una operación y se dio cuenta que habían pagado 15 personas,cómo puede saber la cantidad recibida?

a.Multiplicando el dividendo por el divisor

b. Sumando el dividendo con el cociente y el residuo

c.Multiplicando el divisor por el cociente y sumando el residuo

d.Multiplicando el dividendo por el cociente y sumando el residuo

Answer:

La opción c es la respuesta correcta

Step-by-step explanation:

El valor de 15 corresponde al cociente es decir al total de personas que pagaron;el ejercicio nos da el valor del divisor que es 425 ; para saber cual es la cantidad exacta recibida debemos multiplicar el divisor por el cociente y si hay residuo sumarlo; el ejercicio nos queda de la siguiente manera:

425 x 15 = 6.375 (la cantidad recibida fue de 6.375)

[tex]\frac{6375}{425}[/tex] = 15 (comprobación de la división para obtener el cociente con valor de 15)

Answer:

10,000 * (square miles in the city)

Step-by-step explanation:

You've been given a population of people for every square mile (10,000) and you're trying to figure out how many people live in the city.

To convert people per a square mile into people, you'll need to know how many square miles you have. I assume you've been given this as the size of the city or how many square miles the city takes up. Just multiply the amount of people per a square mile by the amount of square miles in the city, and it'll give you the population of people in every square mile of the city (the population).

Note:

This is people per a square mile, or in other words, for every square mile of city, 10,000 people live there. If you have 2 square miles of city, then 2 * 10,000 = 20,000 people live there.

Answer:

2/5 is the simplest form.

Step-by-step explanation:

9/10 - 5/10 = 4/10 (9 - 5 = 4) 4/10 simplified is 2/5 (divide both 4 and 10 by 2 and you get 2/5).

Hope that helps!

Answer: 60 mph

Step-by-step explanation:

Given

The red car left at 9 am and arrives at 1 pm

time taken by the red car [tex]t_a=4\ hr[/tex]

time taken by the blue car [tex]t_b=3\ hr[/tex]

Assume the speed of the red car is v

So, the speed of the blue car is v+15

distance traveled by them is the same

[tex]\Rightarrow v\times 4=(v+15)\times 3\\\Rightarrow 4v=3v+45\\\Rightarrow v=45\ mph[/tex]

Thus, the speed of the blue car is [tex]45+15=60\ mph[/tex]

Answer:

Division

Step-by-step explanation:

Answer:

[tex]\dfrac{7}{10}[/tex]

Step-by-step explanation:

We need to find a rational number between 3/5 and 4/5.

We can find a rational number between two fractions as :

[tex]\dfrac{a+b}{2}[/tex]

We have, a = 3/5 and b = 4/5

So,

[tex]\dfrac{\dfrac{3}{5}+\dfrac{4}{5}}{2}\\\\=\dfrac{\dfrac{7}{5}}{2}\\\\=\dfrac{7}{10}[/tex]

So, a rational number between 3/5 and 4/5 is equal to 7/10.

Answer:

The answer is 3,100

Step-by-step explanation:

If you subtract the 8,500 from his parents and his football scholarship you get 4,900 and then take the 1,800 from his saved money, You get what he still needs, which is 3,100.

Question

Marcus asked 10 people at a juggling festival what age they were when they started to juggle. Which interval contains the median age?

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]n = 10[/tex]

Required

The median interval

The question is incomplete, as the required data is not given.

To solve this question, I will use the following assumed dataset.

[tex]Age:17\ 17\ 18\ 20\ 21\ 22\ 22\ 24\ 28\ 28[/tex]

First, calculate the median position.

[tex]Median = \frac{n+1}{2}\ th[/tex]

[tex]Median = \frac{10+1}{2}\ th[/tex]

[tex]Median = 5.5\ th[/tex]

This implies that the median is the mean of the 5th and 6th data

So, we have the interval to be.

[tex]Median = [5th, 6th][/tex]

[tex]Median=[21,22][/tex]

Generally, the median of 10 data set is located at interval 5 to 6

Answer:

hi

Step-by-step explanation:

i think 10 in

hope it helps

Answer:

10

Step-by-step explanation:

The triangles are the same size, and if you look at the picture, you can see that MN and QR are the same, making QR 10 in.

5cm

Step-by-step explanation:

volume of cube= l³

125 =l³

3root over 125 =l

l = 5

Answer:

So the length of the edge of a cube with a volume of 125 is 5.

Step-by-step explanation:

Answer:

to present another's viewpoint

Answer:-

D, to analyze specific data i guess

Answer:

324

...................

Answer:

The Answer is B

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus

(x - 2.5)² + (y - (- 3.5))² = 6², that is

(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle

Answer:

80??

Step-by-step explanation:

Answer:

27.5 minutes

Step-by-step explanation:

Using,

R/R' = 2ᵃ/ᵇ------------------ Equation 1

From the equation,

R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.

Given: R = 870 grams, R' = 154 grams, b = 11 minutes.

Substitute these values into equation 1

870/154 = 2ᵃ/¹¹

(870/154)¹¹ = 2ᵃ

Solve for a

2ᵃ = (5.649)¹¹

2ᵃ = 187061.26

Taking the logarithm of both side,

Log2ᵃ = Log(187061.26)

⇒ a = log(187061.26)/log2

a = 8.272/0.301

a = 27.5 minutes

Answer:

there are 8 packages left

Step-by-step explanation:

120÷12=10. So there are 10 packages of pencils to begin with. She loses 24 pencils which means that she lost two packages worth of pencils (12+12=24). So, 2 packages-10 packages=8 packages.

Answer:

Step-by-step explanation:

Remark

If x - 2 is a factor it means that the whole equation will return 0 when x = 2. That's because x - 2 will go to 0. It doesn't matter what the rest of the equation factors into. The x - 2 is enough to make it all go to 0.

Equation

y = x^4 - 3x^3 +2x - 8

Substitute and Solve

x = 2

y = 2^4 - 3*2^3 + 2(3) - 8

y = 16 - 24 + 6 - 8

y = - 8 - 2

y = - 10

Conclusion

x - 2 is not a factor of this equation.

Answer:

200

Step-by-step explanation:

0.2 * x = 40

40 / 0.2 = 200

[tex]\huge{\mathbb{\tt { PROBLEM:}}}[/tex]

Help What is 103883+293883=?

[tex]\huge{\mathbb{\tt { ANSWER:}}}[/tex]

[tex]{\boxed{\boxed{\tt { SOLUTION:}}}}[/tex]

[tex] \: \: \: 103883 \\ \frac{+293883}{ \: \: \: \: 397766} [/tex]

[tex]\huge{\mathbb{\tt { WHAT \: IS \: ADDITION \: ?}}}[/tex]

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Answer:

A

Step-by-step explanation:

the variable is how many times the two will be multiplied, so 2 times 0 equals 0, there by making the problem. -7= - 7

Answer:

that will be A. 0

Step-by-step explanation:

first, i flip the equation

2x - 7= -7

next, i add both side by 7

2x−7+7=−7+7

2x=0

and finally, you divided by 2

2x/2 = 0/2

you get x = 0

Answer: I think it’s the first choice. Foreign Language, Math/CS, and social studies

Step-by-step explanation:

Answer:The probability of the complement of an event is one minus the probability of the event. Since the sum of probabilities of all possible events equals 1, the probability that event A will not occur is equal to 1 minus the probability that event A will occur.

Step-by-step explanation:Complement of an Event: All outcomes that are NOT the event. So the Complement of an event is all the other outcomes (not the ones we want). And together the Event and its Complement make all possible outcomes.

Answer:38

Step-by-step explanation:I think it's 38 because it said right 8 and down 15 so it's kinda like a grid right mean stay positive but also means it goes up so I did 45 plus 8 which is 53 minus 15 which is 38. Hope this gets brainliest

Answer:

A.) 0.25

B.) 0.125 (maybe don't trust me)

Step-by-step explanation:

Answer:

28 i think

Step-by-step explanation:

Answer:

$30.99

Step-by-step explanation:

The formula for simple interest is I = PRT where I = interest earned, P = principal amount borrowed/deposited, R = rate as a decimal, and T = time in years.

I = (30)(0.033)(1)

I = 0.99

Then add that to the amount deposited ($30) and you're done.

30 + 0.99 = $30.99

Please let me know if you have questions.

The answer is $29.01

Answer:

1.) it is the same way as subtracting a fraction be cause a pizza is cut into 8 so it will be 1/8th of each slice if some one ate a slice of pizza

Step-by-step explanation: