1.2297528e+18
There ya go
Question 3 (1 point) Co-60 has a half life of 5.3 years. If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage? Answer = grams Blank 1:
Answer:
464 grams.
Step-by-step explanation:
Amount of substance:
The amount of substance after t years is given by an equation in the following format:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Co-60 has a half life of 5.3 years.
This means that:
[tex]A(5.3) = 0.5A(0)[/tex]
We use this to find r. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{5.3}[/tex]
[tex](1-r)^{5.3} = 0.5[/tex]
[tex]\sqrt[5.3]{(1-r)^{5.3}} = \sqrt[5.3]{0.5}[/tex]
[tex]1 - r = 0.5^{\frac{1}{5.3}}[/tex]
[tex]1 - r = 0.8774[/tex]
So
[tex]A(t) = A(0)(0.8774)^{t}[/tex]
If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage?
We have that [tex]A(26.5) = 14.5[/tex], and use this to find A(0). So
[tex]A(t) = A(0)(0.8774)^{t}[/tex]
[tex]14.5 = A(0)(0.8774)^{26.5}[/tex]
[tex]A(0) = \frac{14.5}{(0.8774)^{26.5}}[/tex]
[tex]A(0) = 464[tex]
464 grams.
5. }(m+4)
Help plz.........
Answer:
i need to know what the answer is to solve for m
Step-by-step explanation:
Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.
Pythagorean theorem.
a^2+b^2=c^2
This means that the square of the length of the 2 legs of a right triangle added together = the square of the length of the hypotenuses or diagonal.
If you know 2 of the values in the 3 variables a,b,c what would you do to find the missing variable value?
I will not write the exact answers to this problem. I think you can figure how to write it out yourselves.
Is the association between x and y positive or negative?
A. none B.positive C, negative
Answer:
A.non at all so, please choose the right answer
Answer:
A.non at all so, please choose the right answer
A motorboat takes 3 hours to travel 108 kilometers going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water:
Rate of the current:
Answer:
45; 9
Step-by-step explanation:
1) if the rate of the boat in still water is 'b' and the rate of the current is 'c', then it is possible to write the rate of the boat going upstream: b-c, downstream: b+c.
2) the basic formula is: D=r*t, where D - distance, r - rate/velocity, t - time;
3) according to the condition it takes 3 hours to travel 108 km upstream, it means according to the formula above 3(b-c)=108;
4) according to the condition it takes 2 hours to travel 108 km downstream, it means according to the formula above 2(b+c)=108;
5) if to make up the system of two equations, then:
[tex]\left \{ {{3(b-c)=108} \atop {2(b+c)=108}} \right. \ => \ \left \{ {{b=45} \atop {c=9}} \right.[/tex]
6) rate of the boat in still water: 45 km/h;
rate of the current: 9 km/h.
Watch help video
Find the y-coordinate of the y-intercept of the polynomial function defined below.
f(x) = 2x(x - 3)
Answer:
Submit Answer
Using the provided measures determine the measure of angle K.
A)30.5°
B)34.90
C)41.2°
D)58.0°
Answer:
B. 34.90°
Step-by-step explanation:
✔️First, find GF using Trigonometric function:
Reference angle = 58°
Adjacent length = GF
Hypotenuse = 6 cm
Apply CAH, thus:
Cos 58 = Adj/Hyp
Cos 58 = GF/6
GF = 6*Cos 58
GF = 3.17951558 ≈ 3.18 cm
✔️Find angle K using the Sine Rule:
[tex] \frac{sin(K)}{GF} = \frac{sin(G)}{KF} [/tex]
Substitute
[tex] \frac{sin(K)}{3.18} = \frac{sin(64)}{5} [/tex]
Multiply both sides by 3.18
[tex] sin(K) = \frac{sin(64)}{5}*3.18 [/tex]
[tex] sin(K) = 0.5716 [/tex]
[tex] K = sin^{-1}(0.5716) [/tex]
K = 34.8618741° ≈ 34.90°
4x - 8 = 32
?!!!! please help me plss
Answer:
The answer is X=10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
4x - 8 = 32
4x = 40
x = 10
Help me please......
Answer: 46
Step-by-step explanation:
Let the 3 consecutive even numbers be x, (x-2) and (x+2) respectively.
According to the question,
x + (x - 2) + (x + 2) = 132
or, x + x - 2 + x + 2 = 132
or, 3x = 132
or, x = 132 ÷ 3
or, x = 44
So, first even number = 44
Required third number = 44 + 2
= 46
find the measure of the angle pic added
Write 2 9/10 as an improper fraction.
pls hurry!
and pls explain how to do it
Answer:
29/10
Step-by-step explanation:
Answer:
[tex] \frac{29}{10} [/tex]
Step-by-step explanation:
[tex]2 \frac{9}{10} \\ \frac{2 \times 10 + 9}{10} [/tex]
After a discount of 40%, the sale price of a ride pass at a fun park is $30. What is the original
price?
Answer:
30 divided by 0.40 = 75
The original price was $75
Step-by-step explanation:
30 divided by 0.40 = 75
The original price was $75
Find the value of the cosine for ZA.
A
8 ft
B
С 5 ft
5489
C.
889
a.
89
89
d.
oo la
b.
4.89
89
Answer:
C. [tex] \frac{8\sqrt{89}}{89} [/tex]
Step-by-step explanation:
Cos A = Adj/Hyp
Reference angle = <A
Adjacent side = 8 ft
Hypotenuse = √(8² + 5²) = √89 (pythagorean theorem)
Thus:
[tex] Cos (A) = \frac{8}{\sqrt{89}} [/tex]
Rationalize
[tex] Cos (A) = \frac{8 * \sqrt{89}}{\sqrt{89} * \sqrt{89}} [/tex]
[tex] Cos (A) = \frac{8\sqrt{89}}{89} [/tex]
The piecewise function h(x) is shown on the graph.
What is the value of h(3)?
O -2
O -1
• 1
0 2
Answer:
00
Step-by-step explanation:
Jerry buys a new cell phone and signs up for a yearly cell phone plan. The cell phone costs $329 and the yearly plan costs 490 per year for every year he uses the cell phone. The only costs associated with the cell phone are the purchase price and the cost of the yearly cell phone plan.
a) Describe the annual cost of the cell phone per year as a function of the number of years he uses the cell phone.
b) What happens to the average price per year the longer Jerry holds onto this plan and explain why?
Answer:
(329 + 490X) / X = Cost
Thus, the average annual price decreases as the cell phone is used for more years, because the fixed cost (the cost of the value of the cell phone) is divided each time by a greater number of years.
Step-by-step explanation:
Since Jerry bought a new cell phone and signed up for a yearly cell phone plan, and the cell phone costed $ 329 and the yearly plan costs $ 490 per year for every year he uses the cell phone, to determine the annual cost of the cell phone per year as a function of the number of years he uses the cell phone, the following mathematical reasoning must be performed:
(329 + 490X) / X = Cost
So, for example, if the cell phone was used for 3 years, the function would apply as follows:
(329 + 490x3) / 3 = X
(329 + 1470) / 3 = X
1,799 / 3 = X
599.66 = X
Thus, the average annual price decreases as the cell phone is used for more years, because the fixed cost (the cost of the value of the cell phone) is divided each time by a greater number of years.
porfa ayuda:
Dibuja un triángulo isósceles y se divide
su base en 4 partes iguales. Identifica los
triángulos congruentes pintándolos del
mismo color.
Answer:
Ignore los puntos.
Ignore the points.
QUICK HELP PLEASE
Robert found an old game in a closet and and wanted to play it. However, a Portion of the spinner shown at the right could not be read. Find the missing portion of the spinner for Robert.
Answer:2/36 or 1/18
Step-by-step explanation:
ANSWER:
2/36
EXPLANATION: Find what the gcf factor of all the denominators are the gcf of all the denominators is 36 but what you do to the top do to the bottom then add 3/36+4/36+6/36+9/36+12/36=34/36 so you need 2/36 to have a full circle
Which of the following is true for a circle that has an area of approximately 113 square feet?
a
The diameter is 6 feet and the circumference is 38 square feet.
b
The radius is 6 feet and the circumference is 38 square feet.
c
The diameter is 6 feet and the circumference is 38 feet.
d
The radius is 6 feet and the circumference is 38 feet.
Answer:
radius is 6, diameter is 12, circumference is 38
Step-by-step explanation:
The area of a circle hs the following formula:
A = π*r², where r is the circle radius (distance from center to edge of circle)
So, we have A = 113 = π*r²
Divide both sides by π: 113/π = r²
Approximately: 35.97 = r²
Square-root both sides: 5.997 = r
So, the radius is about 6 feet
The circumference of a circle has the following formula:
C = π * D, where D is the diameter of the circle (distance from one side of circle to opposite side, through the center)
But the length of a diameter is just that of two radiuses. (This is obvious when the 2 radii are collinear.)
Since r = 6 feet, D = 12 feet, and the circumference C = 12 * π = 37.699, about 38 feet.
*** So the radius is about 6 feet, the diameter is about 12 feet, and the circumference is about 38 feet,
It lloks like b and d are identical. Typo. maybe?
Can someone please help
Answer:
5y + 8
and
8y +5 are the same solutions.
what is the distributive property for 15x+25?
Answer:
5(3x+5)
Step-by-step explanation:
Answer:
5(3x + 5)
Step-by-step explanation:
Factor out 5 of 15x + 25 then you'll get your answer.
Hope this helps:)
The equation y = -3 is a example of linear function. Why?
Explanation:
We can rewrite y = -3 as y = 0x-3 or y = 0x+(-3)
Compare that to y = mx+b and we can see that m = 0 is the slope and b = -3 is the y intercept. The slope of 0 indicates a horizontal line.
We can think of it is as slope = rise/run = 0/1 = 0. A rise of 0 tells the reader "the graph does not go up or down at all". Every point on the line y = -3 has y coordinate of -3. Two such points are (0,-3) and (1,-3).
IA...
Perhatikan gambar di bawah ini!
R
doſ 1
OD adalah jari-jari lingkaran dalam segitiga PQR. Jika RQ-28 cm, PR
2D siku-siku dan PD-DQ. hitunglah :
a. Luas segitiga PQR
b. Panjang OD
c. Panjang OQ
ng
JAWABAN
² = QR² - QT²
= 13² - 5²
= 169 - 25
= 144
TR = √144
TR = 12 cm
Menentukan panjang PR
PR = 2 × TR
= 2 × 12 cm
PR = 24 cm
What is the midpoint of the segment (2,4) (2,-7)
Answer:
b
Step-by-step explanation:
what is -5/9 = -10/3 v
Answer:
v= 1/6
Step-by-step explanation:
1. Simiplify 10/3v = 10/3v -5/9= -10v/3
2. Multiply both sides by 3
3. Use this rule : a/b × c = ac/b
4. 5× 3= 15 -15/9= -10v
5. Simiplify 15/9 = 5/3 -5/3 = -10v
6. Divide both side by -10 -5/3/-10=v
7. Two negative make a postive 5/3/10 = v
8. Simplify 5/3/10= 5/3×10
9. Simplify 3×10=30 5/30=v
10. Simplify 5/30 = 1/6v
11. Swith sides v= 1/6
if f(x)=2x-1 and g(x)=3x+5, then (f*g)(x) is equal to
gud evng have a gud day
hope u enjoy ur day
(F*g)(x) means to multiply the two equations.
Multiply each term by each term:
2x-1 * 3x+5 =
2x * 3x + 2x*5 + (-1)*3x + (-1)*5 =
6x^2 + 10x -3x -5 =
6x^2+7x-5
What is the answer for this?
Answer:
Proved
Step-by-step explanation:
Given
[tex](2 * 10^2) * (3 * 10^5) = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Required
Prove
On the right hand side, we have:
[tex]2 * 10^2 * 3 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Rewrite:
[tex]2 * 3* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
[tex]6* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Apply law of indices
[tex]6* 10^{2+5} = 3.5 * 10^7 + 2.5 * 10^7[/tex]
[tex]6* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Express 6 as 3.5 + 2.5
[tex](3.5 + 2.5)* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Open bracket
[tex]3.5 *10^7+ 2.5*10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Proved
so what exactly is a,b,c
A cell phone call costs $0.08 per minute. How much would a 6-minute call cost?
Answer:
28.8
Step-by-step explanation:
0.08x60 sec
4.8x6
28.8
Please help and show work
Danielle said she read 1/2 of a book select all the fractions that are equivalent to 1/2