How much of a radioactive kind of niobium will be left after 105 days if you start with 3,920 grams and the half-life is 35 days?

Answers

Answer 1

Answer:

"490 grams" would be the correct solution.

Step-by-step explanation:

The given values are:

Half time,

T = 35 days

Total time,

t = 105 days

As we know,

⇒ [tex]A=A_o(\frac{1}{2} )^{\frac{t}{T} }[/tex]

On substituting the values, we get

⇒     [tex]=3920\times (\frac{1}{2})^{\frac{105}{35} }[/tex]

⇒     [tex]=3920\times (0.5)^3[/tex]

⇒     [tex]=3920\times 0.125[/tex]

⇒     [tex]=490 \ grams[/tex]


Related Questions

A plant measured x inches tall last week and 8 inches tall this week.

Select the expression that represents the number of inches the plant grew this week.
(a) x-8
(b) 8-x

Explain how you know.

Answers

Answer:

8-x

Step-by-step explanation:

just like you are 20m tall last month and then 30 m tall this week

you grew 10 m additional

17 is 12.5% of what number?

Answers

Answer:

Multiply 17 by 100 / 12.5 to get the answer

The function shown the the graph is f(x) =

Options
x^4-2x^2+5x+6
x^3-2x^2-5x+6
x^3-2x^2+5x+6
-x^4-2x^2+5x+6

pls help asap,,

Answers

Answer:

B

Step-by-step explanation:

We will first look at the end behavior of the graph

Is it down then up which means that the degree is 3 and the coeficcent is positive

this leaves B or C

We then know that the x intercepts are (-2,0) (1,0) (3,0)

The easiest way to proceed from here is just plugging in numbers into our euqation and if the end result is 0 then we got it!

looking at the B we have

-2³-2*-2²-5(-2)+6

this equals 0 which means this is our answer (this elimates C because the only difference between the two equations is the sign on the 5x)

You can also factor it and find the zeroes that way, but it's just more work

The black line is the graph of y=x. Which of these equations could represent the blue line?
A. y=2x
B.y= -x
C. y = 1/2x
D. 0.001x

Answers

I believe the answer you’re looking for a C step-by-step explosion : hope this helps :)

which expression is equivalent to (x+2)(x+6)?
1.x^2+12x+32
2.2x^2+10x+12
3.2^2+12x+16
x^2+8x+12​

Answers

the last one: x^2 + 8x + 12

-10(-v+6w)-w-9(-3w-v)−10(−v+6w)−w−9(−3w−v)

Answers

The answer is 19v - 34w

HELP ME W/ MY HW

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZz

Answers

Answer:

7238.23

Step-by-step explanation:

452.16
fórmula: a= (3.14)(12x12)

May someone pls help with this?

Answers

Answer:

p = 308

Step-by-step explanation:

PLZZZZZ HELP ME
Suppose you are going to draw two cards from a standard deck. What is the probability that the first card is an even card and the second card is Queen? 16/663 5/169 06/13 20/663 ​

Answers

Answer:

I would say 16/663 but I still have a suspicion it may be 20/663

Step-by-step explanation:

Answer:

20/633

Step-by-step explanation:

The probability of drawing an even card is the total number of even cards divided by the total number of cards. There are 5 even values (2,4,6,8,10) and 4 of each in the deck. That means there are 20 even cards in a deck of 52 cards. The probability is 20/52.

Next, the probability of drawing a Queen is calculated, but now there are only 51 cards total because you removed the first card. There are 4 Queens in a deck of 51 cards. The probability is 4/51.

Therefore, the probability of these two events is the product of the probability of each: (20/52)(4/51) = 20/663

What is the slope of the line with equation y-3-- _(x-2)?
5
4
P213)
3
2
1
(4.2)
-543
HL
1
2
3
4
5
x
2
-3
4
15


Answers

Answer:

B) -1/2

Step-by-step explanation:

(2, 3) and (4, 2)

Slope:

m=(y2-y1)/(x2-x1)

m=(2-3)/(4-2)

m= (-1)/2

m= -1/2

The Slope of the given line is -1/2.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We take two points from the graph as (2, 3) and (4, 2).

Now, the slope of line is

= (3-2)/ (4-2)

= -1 / 2

= -0.5

Using Slope intercept form

y= mx+ b

y= -0.5x+ b

and, b = 4

so, the Equation of line is y= -0.5x+ 4.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ7

Is this correct???
I’m really worried this is a test worth 100 points?? Pls help if I made a mistake!!???

Answers

Answer:

There's supposed to be nothing in the 7 and 8 columns

Step-by-step explanation:

You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.

hope this helps:)

A local store buys video games from the manufacturer for $15.99. They mark up the price of the game 250%. What is the selling price of the video game? Round your answer to the nearest cent.
a.$55.97
b. $17.99
c. $19 99
d. 539.98​

Answers

Answer:

$55.97

Step-by-step explanation:

The image below shows the equation for Markups. I plugged the numbers into the equation, and got $55.97 (rounded)

I hope that helps!

Someone help me pls

Answers

Answer:

550 mins

Step-by-step explanation:

Answer:

Step-by-step explanation: can you zoom that picture in cant see it

A.none
B.vertical
C.Adjacent
D.Complementary
E.Obtuse

Answers

C hope that helps have a good one and stay 28 - 6973

Please qwnser correctly! I will mark you Brainleist

Answers

Answer:

the answer is 484

Step-by-step explanation:

volume of the pyramid = (11×11×12) ÷3 =484

Answer:

the answer would be 385

Step-by-step explanation:

just listen to this because I did this last year.

11 by 11 is 121

11 by 12 is 132

you can multiply by two and get all 4 triangles done and the answer would be 385

Each hot chocolate at Cocoa Land costs $3.25. Chris has $36.99 to buy chocolate and to pay for a music album to listen to while he studies math. The music album costs $9.99. Which inequality can be used to determine how many hot chocolates, h, Chris can buy?

Answers

Answer:

Step-by-step explanation:

If a sweater is reduced in price from $40 to $26.80, what is the percent of decrease?

Answers

Answer:

Percentage decrease is 93‰

Can someone please help me with this!?!?!

Answers

They are congruent because of the angles, which means the congruency reason should be SAS.

solve the compound inequality

Answers

Answer:

Given inequality:

-5r + 7 ≥ -7 - 6r ≥ 4r + 3

Solve in parts:

-5r + 7 ≥ -7 - 6r ⇒ 6r - 5r ≥ -7 - 7 ⇒ r ≥ -14 -7 - 6r ≥ 4r + 3 ⇒ 4r + 6r ≤ -7 - 3 ⇒ 10r ≤ -10 ⇒ r ≤ -1

Combine into one:

-14 ≤ r ≤ -1

or

r = [-14, -1]

THERE IS A PHOTO
Find the value of x. Round your answer to the nearest tenth.
X
72
4

Answers

Answer:

Divide the two

Step-by-step explanation:

PWEASE HELP, PWEASE PWEASE PWEASE HELP

Answers

Answer:

Length of rectangle parking lot = 94 m

Width of rectangle pool = 85 m

Step-by-step explanation:

Given:

Perimeter of rectangle = 300 m

Width of rectangle parking lot = 56 m

Find:

Length of rectangle parking lot

Area of rectangle pool = 8,245 m²

Length of rectangle pool = 97 m

Find:

Width of rectangle pool.

Computation:

1. Perimeter of rectangle = 2[l+b]

2[56 + l] = 300

56 + l = 150

Length of rectangle parking lot = 94 m

2. Area of rectangle = L x B

97 x Width of rectangle pool = 8,245

Width of rectangle pool = 85 m

Answer:

The length of the rectangle parking lot is 94 meters.

Rectangle pool width = 85 m

Step-by-step explanation:

i hope it helpss

Help answer correctly or you'll get hack

Answers

1) -15
2)21
3)-49
4) 39
5)89

Answer:

1 ) - 15

2 ) 21

3 ) 49

4 ) 39

5 ) 89

Step-by-step explanation:

1 )

( - 8 ) + ( - 7 )

= - 8 - 7

= - 15

2 )

( + 12 ) + ( + 9 )

= 12 + 9

= 21

3 )

( - 43 ) + ( - 6 )

= - 43 - 6

= - 49

4 )

( + 23 ) + ( + 16 )

= 23 + 16

= 39

5 )

( + 73 ) + ( + 16 )

= 73 + 16

= 89

The cone has a volume of 72 cubic centimeters and a height of 6 centimeters.
What is the radius of the base of the cone, in centimeters?

Answers

Answer:

r≈3.39cm

Step-by-step explanation:

Using the formula

V=πr2h/3

r=3V

πh=3·72

π·6≈3.38514cm

1. What units cannot be used to measure weight?
A. ton
O B. inch
O C. pound
D. ounce

Answers

Answer:

B. Inches

Step-by-step explanation:

Because it measures the length of something, Not the weight.

Answer:

C

Step-by-step explanation:

weight in the USA is usually measured in LBS (pounds)

Matt is bringing 0.4 of a cake to school. What fraction of the cake is he bringing?

Answers

Answer:

2/5

Step-by-step explanation:

also=4/10

4/10

=2/5

Here, Matt is bringing 0.4 of cake.

For the denominator:

We are taking 1 for [.] decimal and take 0 for 4.

So, its fraction becomes 4/10=2/5 [if we divide both denominator and lobe by 2].

12 cans of Pepsi cost $5.99 Find the unit price of each can. Round your
answer to the nearest hundredth's place.

Answers

divide 5.99 by 12
0.499
rounded = 0.50
unit price is $0.5 per can

Answer:

0.50

Step-by-step explanation:

Round up £5.99 to £6 (this makes the question easier to solve), then do £6÷12=0.5 (50p)

I need help!!! Please Help me

Answers

Answer:

x=-40,0

y=0,15

Step-by-step explanation:

intercepts are points where the graph cuts the axes

Answer:

(- 40, 0 ) and (0, 15 )

Step-by-step explanation:

The x- intercept is the point on the x- axis where the line crosses, then

x- intercept = (- 40, 0 )

The y- intercept is the pont on the y- axis where the line crosses, then

y- intercept = (0, 15 )

Some students reported how many pairs of shoes they have. The dot plot shows the data collected: A dot plot is titled Students Pairs of Shoes and labeled Number of Pairs. The values on the horizontal line are 1, 2, 3, 4, and 5. There is 1 dot above 1, 3 dots above 2, 5 dots above 3, 3 dots above 4, and 1 dot above 5. What do the dots above the number 4 indicate? (3 points) a There are exactly 3 students with less than 4 pairs of shoes. b There are exactly 4 students with less than 3 pairs of shoes. c There are exactly 4 students with 3 pairs of shoes. d There are exactly 3 students with 4 pairs of shoes.

Answers

Answer:

There are exactly 3 students with 4 pairs of shoes.

Step-by-step explanation:

Given

[tex]Pairs \to Dots[/tex]

[tex]1 \to 1[/tex]

[tex]2 \to 3[/tex]

[tex]3 \to 5[/tex]

[tex]4 \to 3[/tex]

[tex]5 \to 1[/tex]

Required

What does the 3 on 4 represents?

First, we plot the dot plot.

See attachment for plot

The dots represent the number of student

So 3 dots on 4 means that:

[tex]Students \to 3[/tex]

[tex]Pairs \to 4[/tex]

This implies that there are 3 students have exactly 4 pairs

Answer:

D) There are exactly 3 students with 4 pairs of shoes.

Step-by-step explanation:

It says number of pairs on the bottom which means how many and 1, 2, 3, 4, 5 are the pairs of shoes.

At the top it says Students' pairs of shoes which is the dots and that means how many students have that amount.

Hope I helped!!

270/9 3/4 +40*(15-5)

Answers

Step-by-step explanation:

[tex]270 \div \frac{ {3}^{4} }{9} + 40 \times (15 - 5) \\ = 270 \div \frac{3 \times 3 \times 3 \times 3}{9} + 40 \times (10) \\ = 270 \div \frac{81}{9} + 40 \times 10 \\ = 270 \div 9 + 40 \times 10 \\ = 30 + 400 \\ = 430[/tex]

write a quadratic function in the given form whose graph satisfies the given condition.

has a vertex of (5, -2) & passes through the point (3, 6) in vertex form

pls help...important...dont steal

Answers

Answer:

f(x) = 2(x-5)²-2

Step-by-step explanation:

The equation of a parabola in vertex form is y=a(x-h)²+k where (h,k) is the vertex and "a" represents how stretched or compressed the parabola is and what direction it travels.

Given a vertex of (5,-2) the equation so far is y=a(x-5)²-2

Since we want the parabola to pass through the point (3,6) we must find a value of "a" that satisfies this:

y=a(x-5)²-2

6=a(3-5)²-2

6=a(-2)²-2

6=4a-2

8=4a

2=a

This means that the quadratic function is f(x) = 2(x-5)²-2

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