You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years?

Answers

Answer 1

Answer:

22 grams

Step-by-step explanation:

loses 50% of it's mass per 22 years

so after 22 years the mass would be 44 grams

22 years later would leave 50% of 44 grams = 22 grams


Related Questions

Help plzz
Question given below

Answers

Please show me your question clearly.

Select the correct answer. 2 Jay stores hay in cubic stacks on his farm. If the length of each stack is 3 yard, what is the volume of hay in each stack? O A. cubic yard O B. cubic yard OC. cubic yard OD 8 cubic yard 27 Reset Next​

Answers

Cubic stack would mean all the sides are the same length.

The length of the side is given as 3 yards.

Volume = 3^3 = 3 x 3 x 3 = 27

Volume = 27 cubic yards.

There are 18 apples and a number of oranges in a box. The probability of choosing an
3
-
apple is
Find the total number of apples and oranges in the box.
3/7

Answers

Answer:

60 apples and oranges

Step-by-step explanation:

18/3/7 = 42

18/42 = 3/7

18+42 = 60

Find the total surface area of this prism where the cross section is an isosceles triangle 5cm, 13cm, 24cm, 10cm

Answers

Answer: 620 cm2

Step-by-step explanation:

The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is:  B = 24 * 10 = 240 cm2

The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is:  C = 24 * 5 / 2 = 60 cm2

The sides are rectangles with 10 cm x 13 cm, so their area is:  D = 10 * 13 = 130 cm2

The total surface area is:  S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2

show the following equations on a number line. a) -16 < 4x _ x÷2​

Answers

Step-by-step explanation:

-16(2)<4x(2)-x/2(2)

-32<8x-x

-32<7x

-32/7<7x/7

-32/7<x

-4.5714285714285714<x

~-4.56<x

So after drawing the number line, indicate it starting from negative 4.6 and pointing the arrow towards the right. Do not shade

Please help this is due today!!

Answers

Answer:

81 grams

Step-by-step explanation:

if you use the calculator by putting in 7 for t in the equation: 100(0.97)^7

then  solve you get 80.79..... a big long decimal. round to the nearest whole number and you get 81

can someone help?? thanks and no links pls

Answers

Answer:

x = 10

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

8(x-1) = 6(x+2)

Distribute

8x-8 = 6x+12

Subtract 6x from each side

8x-8 -6x = 6x+12-6x

2x-8 = 12

Add 8 to each side

2x-8+8 = 12+8

2x=20

Divide by 2

2x/2 = 20/2

x = 10

Answer:

x must be 10

Step-by-step explanation:

The two angles shown are "vertical angles" and are thus equal.

So 8(x - 1) = 6(x + 2), or (after carrying out the indicated multiplication):

8x - 8 = 6x + 12, or

2x = 20

Then x must be 10.

What is a two-column proof

Answers

Answer:

A two-column proof uses a table to present a logical argument and assigns each column to do one job, and then the two columns work in lock-step to take a reader from premise to conclusion.

Step-by-step explanation:

Basically in simple terms, one side is the statements, and the otherside is the reasoning

The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use

Answers

Answer:

Coordinate of points = (7 , 0)

Step-by-step explanation:

Given:

Equation of slope;

y – y1 = m(x – x1)

Equation of slope;

y = 3(x – 7)

Find:

Coordinate of points

Computation:

By comparing

y - 0 = 3(x - 7)

So,

y1 = 0

m = 3

x1 = 7

Coordinate of points = (7 , 0)

Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from T(2, –2) to W(–7, 3).

Answers

Answer:

10.3 units

Step-by-step explanation:

coordinate points are

T(2, -2) =(x1 , y1)

W(-7, 3) =(x2 , y2)

distance formula = [tex]\sqrt{(x2 -x1)^2 + (y2 -y1)^2}[/tex]

=[tex]\sqrt{(-7-2)^2 + {3-(-2)}^2[/tex]

=[tex]\sqrt{(-9)^2 + (3+2)^2[/tex]

=[tex]\sqrt{81 + 5^2[/tex]

=[tex]\sqrt{81 + 25[/tex]

=[tex]\sqrt{106[/tex]  

=10.29563014

=10.3 (after converting it to the nearest tenth)

(cos2A−cos2B)2+(sin2A+sin2B)2=4sin2(A+B)​

Answers

Answer:

[tex] {( \cos2A - \cos2B) }^{2} + {( \sin2A + \sin2 B }^{2}\\ = ( - 2\cos2A \cos2B + { \cos {}^{2} 2A } + \cos {}^{2} 2B) + (2 \sin2A \sin2B + \sin {}^{2} 2A + \sin {}^{2} 2B)\\ \\ { = - 2( \sin2A + \sin 2 B - \cos2 A - \cos2B) }\\ \\ { = - 2( - 4 \sin( A + B) \cos(A + B) } \\ \\ = {\tt{double \: angle \: of \: sine}}\\ \\ { = 2 \times 2(2 \sin (A + B) \cos(A + B)) }\\ \\ { = 4 \sin2(A + B)}[/tex]

A telephone pole is 24 feet tall. A 26 foot guy wire is used to stabilize the pole. How far from the base of the telephone pole should the end of the guy wire be set?

Answers

Step-by-step explanation:

Let,

the telephone pole be AB

the wire be AC

therefore AB=24

AC=26

By using Pythagora's theorem

(AC)² =(AB)² + (BC)²

(26)² =(24)² + (BC)²

676 = 576 + (BC)²

(BC)²= 676 - 576

(BC)²=100

BC =✓100

BC. =10

Therefore, the base of the telephone pole is set 10m far

HOPE IT HELP YOU

When the sun shines at a 60° angle to the ground, Talisa's shadow is 36 inches long.


Answers

Answer:

Talisa is 62 inches tall

Step-by-step explanation:

tan = opp/adj

tan60 = opp/36

36 * tan 60 = opp

use calculator

opp = 62.353829072479583

Rounded

Talisa is 62 inches tall

Answer:

Using the right triangle created by this situation, and the fact that the trig ratio tan(θ) = opposite/adjacent, we can say tan(60°) = h/36 or h = 36•tan(60°) = 62.354

So, to the nearest inch, Talisas is 62 inches long.if you satisfied to my answer ,can you put brainliest in top of my name , and ur welcome

Evaluate the following f(x) = x^2 - 6 for f(4)

Answers

Answer:

Just replace the variable "x" with "5":

f(5) = 2×5 + 4 = 14

Answer: f(5) = 14

Step-by-step explanation:

A garden is 10m by 12m. A fence is put around the outside of the garden. The total length of the fence is

Answers

to find a perimeter of an area you have to add the measurements of all the sides if one side is 10m and another is 12m then you simply have to add 10m twice and 12m twice which would be equal to 44m
perimeter = length+length + width+width
therefore 10+10+12+12= 44
perimeter= 44m

if $7000 is borrowed at the rate of 5% per annum for 3 years what is the simple interest​

Answers

Answer:

$450

Step-by-step explanation:

What does "Time (s)" represent in the graph?
Time vs. Position of Battery Operated Car
the y-axis
O the dependent variable
O an inverse relationship
o the independent variable
sition (m)

Answers

Answer:

the independent variable

Step-by-step explanation:

tome is the independent variable

position is the dependent variable

In the given graph titled "Time vs. Position of Battery Operated Car," the "Time (s)" represents the independent variable.

The independent variable is typically plotted on the x-axis of a graph and represents the variable that is intentionally changed or controlled in an experiment or study.

In this case, the graph shows how the position of the battery-operated car changes over time, with time being the independent variable.

So the time represents the independent variable.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

Un polígono regular está inscrito en una circunferencia. ¿Qué medida del polígono es igual al radio de la circunferencia?

Answers

Answer:

La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también radio.

Step-by-step explanation:

La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también radio.

How do you write an equivalent logarithmic equation for e^4=x

Answers

Answer:

4 = ln x

Step-by-step explanation:

e^4=x

Take the natural log of each side

ln(e^4)=ln(x)

We know ln a^b = b ln a

4 ln e = ln x

ln (e) =1

4 = ln x


What is the interquartile range (IQR) of the data?

Answers

Answer:

15

Step-by-step explanation:

looks like quartile 3 is at 45

IQR is Q3-Q1 so 45-30 = 15

need help with this Q&A 4

Answers

Answer:

y=4x + 3/4

Step-by-step explanation:

can someone PLEASE HELP me?? the answer has to be in simplest form and i keep getting it wrong. the ixl score needs to be at 68 and im only at 30. i really need this done please

explaining your answer to me will get you brainliest.

Answers

Answer: The formula for sector area is simple, multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2. So you want to do that for every problem like this

Step-by-step explanation:s

Answer:  11pi/60

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

Explanation:

Let's ignore the area of the shaded slice for now. Instead, we'll find the area of the full circle

We plug in the radius r = 1 to find that

A = pi*r^2

A = pi*1^2

A = pi

The exact area of that full circle is pi square meters. You can think of an actual pie (the baked pastry, not the constant) with this area as a way to help conceptualize things.

If we wanted the whole circle, then we'd say pi is the answer. However, we only want a slice of that circle. The fractional amount 66/360 represents the slice we want. This fraction reduces to 11/60 after you divide both parts by 6. If you were to cut the pizza up into 60 slices, then you would shade 11 of them in to represent the green area.

Multiply 11/60 with the area pi to get the final answer 11pi/60

This answer is exact in terms of pi

To get an approximate value, you could replace pi with 3.14 to get 11pi/60 = 11*3.14/60 = 0.57567 meaning the green shaded area is roughly 0.57567 square meters. Use more decimal digits of pi to get a more accurate shaded area.

Bill is ten years older than his sister. If Bill was twenty-five years of age in 1983, in what year could he have been born?

Answers

Answer:

1968

Step-by-step explanation:

Heyy,

83-25=58
Bill would of been born in 1958

Hope this helps :)

Please help :,(

the ordered triple for point U is (-3,3,-4). To graph this point in three-dimensional coordinates space, do the following

From the origin, move back 3 units, right 3 units, and down __ units

A. 3
B. 4

Answers

Answer:  B) 4

This is because the z coordinate is -4. So we move down 4 units on the z axis. The z axis is basically a vertical pole planted in the ground, and the xy plane is the flat floor.

It's a bit tricky to visualize so try to imagine that you're in this 3D space personally.

Or you could imagine that something like z = -4 means you are in basement level 4 of a building (say a parking garage) and something like z = 6 means you're on the 6th floor above the ground.

Four and two thirds add one and three fourths

Answers

Answer:

4 2/3 + 1 3/4 = 6 5/12

John made this model to show \frac{4}{7}\times\frac{13}{9} 7 4 ​ × 9 13 ​ Using John's model, what is \frac{4}{7}\times\frac{13}{9} 7 4 ​ × 9 13 ​ ? You may use the scratchpad to show your work.

Answers

Answer:

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]

Step-by-step explanation:

Given

See attachment for model

Required

Determine [tex]\frac{4}{7}\times\frac{13}{9}[/tex] from the model

The model is represented by:

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]

To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition

The number of shaded box is 63 ---- this represents the denominator

The total boxes shaded at the bottom is 36 ---- this represents the numerator

So, we have:

[tex]\frac{4}{7}\times\frac{9}{9} = \frac{36}{63}[/tex]

To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition

The number of shaded box is 63 ---- this represents the denominator

The total boxes shaded at the bottom is 16 (do not count the gray boxes) ---- this represents the numerator

So, we have:

[tex]\frac{4}{7}\times\frac{4}{9} =\frac{16}{63}[/tex]

The equation becomes:

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36}{63} + \frac{16}{63}[/tex]

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36+16}{63}[/tex]

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]

Work out the volume of this cylinder. Give your answer rounded to the nearest whole number.

Answers

Answer:

31793 cm^3

Step-by-step explanation:

Equation

Volume = [tex]\pi[/tex] * r^2 * h

Givens

d = 2*r

d  = 30

r = 15

h = 45

[tex]\pi[/tex] = 3.14

Solution

V = 3.14 * 15^2 * 45

V = 31793 rounded.

What is the distance between the following points?

Answers

The answer is nine sorry if wrong

Consider the graph of the function f(x)=2x.
Which statement describes a key feature of
function g if g(x) = 2f(x)? Answers:
A. y-intercept at (0,2)
B. y-intercept at (2,0)
C. horizontal asymptote of y = -2
D. horizontal asymptote of y = 2

Answers

Given:

The parent function is:

[tex]f(x)=2^x[/tex]

The other function is:

[tex]g(x)=2f(x)[/tex]

To find:

The statement that describes a key feature of function g.

Solution:

We have,

[tex]f(x)=2^x[/tex]

[tex]g(x)=2f(x)[/tex]

Using these two functions, we get

[tex]g(x)=2(2)^x[/tex]

Putting [tex]x=0[/tex], we get

[tex]g(x)=2(2)^{(0)}[/tex]

[tex]g(x)=2(1)[/tex]

[tex]g(x)=2[/tex]

The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.

We know that [tex]g(x)\to 0[/tex] as [tex]x\to -\infty[/tex] and it will never intersect the line [tex]y=0[/tex]. It means the horizontal asymptote of the function g is

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Please help me with this geometry question and show work

Answers

(3) 8

Step-by-step explanation:

Note that ∆ADE is similar to ∆ABC. As such, the ratios of their legs are equal. Also note that AD = AB + BD.

BC/AB = DE/AD

BC/10 = 12/(10 + 5) = 12/15 = 4/5

or

BC = 10(4/5) = 8

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