Element X is a radioactive isotope such that every 26 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 390 grams, how long would it be until the mass of the sample reached 260 grams, to the nearest tenth of a year?
Answer:
It will take 15.029 years for element X to reach mass of 260 grams
Step-by-step explanation:
The half life period of radioactive element X is 26 years
The initial mass of radioactive element X is 260 grams
Elapsed time = half life * log (beginning amount /ending amount)/log 2
Substituting the given values, we get
Elapsed time = 26 * log (390/260)/log 2
= 15.209 years
1/3 divided by 7/6 can u solve it?????
Answer:
2/7
Step-by-step explanation:
when you divide a fraction by a fraction, flip the second fraction. 1/3 x 6/7 is 6/21, then you reduce it. divide 6 by 3 and 21 by 3, =2/7
Answer:
0.28571428571
Step-by-step explanation:
This is the calculated answer.
But after a lot of. technical,work the answer,ends up be 2/7
Answer choices
18
25
30
40
Please help no links I will report
Answer:
the 75 person is the 100 percent then 40 is x x=(40 ×100 )÷75x=53 then the nb of people preffar hotdogs ic 53Use the information in the figure to determine the height of the pole.
(x + 5)^2 + (x/2 + 6)^2 = (30)^2
Take it from here.
Answer:
pole height = 29 ft
Step-by-step explanation:
x² = 30² - (1/2x + 6)² = 30² - (1/4x² + 6x + 36) = 900 - 1/4x² - 6x - 36
combine like terms:
x² = -1/4x² - 6x + 864
1 1/4x² + 6x - 864 = 0
divide both sides of the equation by 1 1/4:
x² + 4.8x - 691.2 = 0
(x - 24)(x + 28.8) = 0
x = 24 ft
pole height = 24 + 5 = 29 ft
What is the value of (5)3?
Answer:
15
Step-by-step explanation:
This is simply just 5 x 3 = 15
26. Maria reads 40 pages of her novel in 4 hours At that rate, how many pages would she read in 5 hours?
Answer:
(40/4) x 5 = 50 pages
Step-by-step explanation:
Answer:
50 pages
Step-by-step explanation:
You would have to cross multiply, 40/4 = x/5.
Then, you would get 200 = 4x.
Finally, you would have to divide both sides by 4 to get x by itself and you would get your final answer, x = 50. ( Where x equals the pages read in hour 5.)
Hope this helped you out!!
Julie runs 3 miles each morning. How far does she run in feet?
(1 mile = 5,280 feet)
Answer:
15,840 feet
Step-by-step explanation:
5,280*3 = 15840
Since she runs 3 miles each morning, and 1 mile is 5,280,
then you multiply 5,280*3
Name the ordered pair for point R
Can you post a picture please
A loan of $16,840 is borrowed at 9% simple interest and is repaid with $4,167.90 interest. What is the duration of the loan?
9514 1404 393
Answer:
2 3/4 years
Step-by-step explanation:
The interest is given by the formula ...
I = Prt . . . . . . principal P at annual rate r for t years
Solving for t gives ...
t = I/(Pr)
t = 4167.90/(16840×0.09) = 2.75
The duration of the loan is 2 3/4 years.
What is the volume of a sphere with a diameter of 22ft? Round your answer to the nearest cubic foot.
8359 cubic feet
6193 cubic feet
• 2786 cubic feet
5572 cubic feet
Answer:
D) 5,572
Step-by-step explanation:
4/3×pi×r^3
4/3×3.14×11^3
5572.453...
5572
someone please help me answer this!!
Answer:
c = 85 in is the answer.
Step-by-step explanation:
a = 36 in
b = 77 in
c = ?
According to the Pythagoras theorem,
a² + b² = c²
36² + 77² = c²
1296 + 5929 = c²
7225 = c²
c = 85 in
∴ c = 85 in is the length of the missing leg.
1. Find y if log, y – 2 = log, 92.
Answer:
well, if I use a bit of lateral thinking; if y = 94, the the left hand side [ log(y-2)] simplifies down to log(92) which is the right hand side.
so y = 94
Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x
Answer:
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2 Divide both sides by b2
2b = 4 a = 2/4 = 1/2
b = 2
y = 1 (2)x
2
Step-by-step explanation:
can i please have some actual help with this?
Answer:
x = 286.01 inches
Step-by-step explanation:
Given that,
Height of the ramp, H = 20 inches
Angle of elevation, [tex]\theta=4^{\circ}[/tex]
We need to find the value of x. It can be solved using trigonometry as follow :
[tex]\tan\theta=\dfrac{P}{B}[/tex]
Where
P is perpendicular and B is base
So,
[tex]\tan(4)=\dfrac{20}{x}\\\\x=\dfrac{20}{\tan(4)}\\\\x=286.01\ in[/tex]
So, the value of x is equal to 286.01 inches.
a gardener is growing tomato plants. one plant starts out 5 cm tall. it grows a constant 2 cm every week. what equation represents the height h of the plant after t weeks
a t= 5h+2
b t= 2h+5
c h=5t + 2
d h = 2t+5
Answer:
D) h=2t+5
Step-by-step explanation:
Cami and Enrique's ages add up to 46. Cami is two years older than three times Enrique's age. How old are Cami and Enrique?
answer:
Cami is 35 and Enrique is 11
35 plus 11 = 46
10. What is the perimeter of the figure on the coordinate plane below?
A 32 units
B 24 units
C 22 units
D 14 units
Answer:
24 units
Step-by-step explanation:
Each line plot equals 2, so the length is 8 and the hight is 4. 8+8+4+4 = 16 + 8 = 24 units.
Can a right triangle have a leg that is 10inches long and a hypotenuse that is also 10inches long? Why or why not? Explain your reasoning
Answer:
No, the smallest ratio between a hypotenuse and a leg is in the 45/45/90 special case. In this case, the ratio between the hypotenuse and either legs is
√2:1
If the leg is 10 inches long, the smallest the hypotenuse can be is 10√2.
Solve the Inequality Give 5 solutions of the inequality ( Show your solution).
2x -3 < 5
Answer:
Inequality Form:
x<4
1<4
3<4
-1004<4
Interval Notation:
(−∞,4)
(-1004,4)
(3,4)
(1,4)
Step-by-step explanation:
n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The experimental group takes a vitamin C tablet daily, while the control group takes a placebo. At the end of the experiment, the researchers calculate the difference between the percentage of subjects in the two groups who were free of colds. This difference is statistically significant (P=0.03) in favor of the vitamin C group.
Answer:
Step-by-step explanation:
The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.
Null hypothesis: Vitamin C has no effect on preventing colds.
Alternative hypothesis: Vitamin C has a strong effect on preventing colds.
Assuming, significance level = 0.05
Since the p-value for the difference is 0.03 which is less than 0.05.
Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).
As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.
solve: x+5 over 3+11= -1
Answer:
-17
Step-by-step explanation:
A linear equation is given and we need to solve out and find the value of x. So ,
⇒ x+5/ 3+11 = -1
⇒ x + 5 = 14 (-1)
⇒ x + 5 = -14
⇒ x = -5-14
⇒ x = -17
The Y-Axis on a Coordinate plane runs vertical.
Answer:
good
Step-by-step explanation:
So when you do the (,) things the x-axis would go first for example
say the x-axis=5 and the y-axis= 9 it would be (5,9)
hope this helps plz mark brainlest
Please help I’ll mark you as brainliest if correct
Answer:
X=28
Step-by-step explanation:
If x=28 then the degrees of the corners are 26, 84, and 70
Those added together equals 180 degrees, the amount of degrees a triangle is supposed to have.
Answer:
x = 28
Step-by-step explanation:
Okay, so we know that all the angles in a triangle are supposed to add up to 180°, and we already have our 26°, so we can take that off:
180 - 26 = 154
So our two angles add up to 156, so we set up our problem like this:
3x + 2x + 14 = 154
So now we combine like terms:
3x + 2x = 5x
So now our equation is:
5x + 14 = 154
So now we just have to do the inverse operations thing:
154 - 14 = 140
140 ÷ 5 = 28
So, x = 28
if this is wrong, let me know so I can fix it
hope this helps:)
(5x2 + 4x + 3) - (2x2 - 2x + 5)
Answer:
3x^2+6x-2
Step-by-step explanation:
(5x2 + 4x + 3) - (2x2 - 2x + 5)
5x^2+4x+3-2x^2+2x-5
3x^2+6x-2
Convert r=2/7sinθ−cosθ to rectangular form.
Enter your answer in slope-intercept form by filling in the blanks. Enter values so that fractions are simplified.
y=_/_x + _/_
Answer:
x²+y²=√(2/7 x-y)
is the answer, i think
A bag contains 5 apples, 4 peaches, and 3 oranges. What is the probability of choosing an apple?
What is the smallest number of people you need for
the probability to be 100 percent that at least two of
them were born in the same month?
The price of an item has been reduced by 45%. The original price was $63.
Use the ALEKS calculator to find the price of the item now.
se]
?
Answer:
$28.35
Step-by-step explanation:
[tex]45\% \times 63 \\ = 0.45 \times 63 \\ = 28.35[/tex]
I need help but the green is correct but I need help with the first 2 I need to turn this in 10 mins
Answer: see work
Step-by-step explanation:
Blue:
9-5+3x4
Red:
10+6/3+8x2
Answer:
Work
Step-by-step explanation:
Blue:
9-5+6-5
Red:
4+4+5
How many solutions are there in the following system of equations? (
one solution, no solutions, infinitely many solutions)
- 8x + 2y = -16
4x - y = 10 PLEASW HELP
Answer:
No solutions
Step-by-step explanation:
-8x+2y = -16
4x-y = 10 [multiply by 2 so it is easier to add/subtract]
-8x+2y = -16
8x -2y = 20
0 = 4
0 and 4 cant be equal so theres no solution