Answer:
The equation that will represent the number of grams present after n hours is [tex]A(n) = 150(0.85)^n[/tex]
3.035 grams will be left one day from now.
Step-by-step explanation:
Exponential equation for the amount of a substance:
The exponential equation for the amount of a substance is given by:
[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, and t is the time period.
A radioactive isotope is decaying at a rate of 15% every hour.
This means that [tex]r = 0.15[/tex]
Currently there are 150 grams of the substance.
This means that [tex]A(0) = 150[/tex]
Write an equation that will represent the number of grams present after n hours.
[tex]A(n) = A(0)(1-r)^n[/tex]
[tex]A(n) = 150(1-0.15)^n[/tex]
[tex]A(n) = 150(0.85)^n[/tex]
How much will be left one day from now?
One day is 24 hours, so this is A(24).
[tex]A(24) = 150(0.85)^{24} = 3.035[/tex]
3.035 grams will be left one day from now.
I WILL GIVE BRAINLIEST IF YOU EXPLAIN YOUR ANSWER!!
Kaylee and Rory have a circular swimming pool. The pool has a cover that fits snuggly over the top of it. If the radius of the pool is 11 ft, what is the surface area of the cover?
Answer:
380.13
Step-by-step explanation:
pi r^2
pi*11^2
pi*121
3.1415926*121
Answer:
379.94 sq. ft.
Step-by-step explanation:
HOPE THIS HELPS
Please help me with this question
Answer:
10 i think
Step-by-step explanation:
theres 10 x's
Answer:
10?
Step-by-step explanation:
i just counted the x's
What two numbers are exactly four units away from 6
Answer:
2 and 10
Step-by-step explanation:
6+4=10, and 6-4=2.
The number four units away from 6 are 2 and 10 and are represented below the number line.
What is a number line?The number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
Given that,
Four units away from 6
Four units higher →
6 + 4 = 10
Four units lower →
6 - 4 = 2
In the below number line, it is shown diagrammatically.
Hence "The number four units away from 6 are 2 and 10 and are represented below the number line".
To learn more about the number line,
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3. Fill in the missing number: (6) (___) = 1
a. 6
b. -6
c. 0
d. 1/6
Answer:
the answer to your question is 1/6
Alexis earns $50 a day for five days this week. Her weekly expenses are $280. How can she balance her budget?
a
increase her income $5 each day
b
increase her income $20 this week
c
decrease her expenses by $30
d
decrease her expenses by $20
Answer:
i think the answer is B
Step-by-step explanation:
Jason solved the equation below. What error did he make?
8 + 3x = 5(x - 2)
Step A: 8 + 3x = 5x – 10
Step B: 8 = 2x – 10
Step C: -2 = 2.c
Step D: -1= x
Answer:
It looks like on step c he took away 10 instead of adding 10
Factor the trionomial below x2+3x-18
Answer:
(x - 6) (x + 3)
Step-by-step explanation:
what is the answer and how
Answer:
-4°
Step-by-step explanation:
4 + 8 = 12
12 - 16 = -4
The temperature was -4 at 9pm
3) Let h(x)= |2x|-4. Find h(x) when x = -7.
a) -10
b) 10
c) -13
d) 13
Answer:
[tex]h(x) = 10[/tex]
Step-by-step explanation:
Given
[tex]h(x) = |2x| - 4[/tex]
[tex]x = -7[/tex]
Find h(x)
Substitute -7 for x
[tex]h(x) = |2*-7| - 4[/tex]
[tex]h(x) = |-14| - 4[/tex]
Absolute values return positive. So:
[tex]h(x) = 14 - 4[/tex]
[tex]h(x) = 10[/tex]
Find angle x, giving your answer to 1 decimal place.
38°
х
11 cm
8 cm
Answer:
x = 55.8
Step-by-step explanation:
sinA/a + sinB/b
label any of them A (the angle) and opposite it will be a (the side)
[tex] \frac{ \sin(38) }{8} + \frac{ \sin(x) }{11} [/tex]
[tex]11 \times \frac{ \sin(38) }{8} [/tex]
(you can put ×11 the opposite area as well, it makes the same answer)
=0.84653452.....
[tex] \sin^{ - 1} (0.84653452)[/tex]
=57.83672257
-4=2/3 b
What would be the best first step to solving the
equation in one step
Which of these expressions is equivalent to log
(12/5)
?
O A. log (12) - log (5)
O B. 12. log (5)
O C. log (12) + log (5)
O D. log (12) log (5)
The expressions that is equivalent to log (12/5) would be A. log (12) - log (5).
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
a^b = c
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
b = \log_a(c)
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
We have given an expression as ;
log (12/5)
We know that
[tex]log_a(b) - \log_a(c) = \log_a(\frac{b}{c})[/tex]
So,
log (12/5) = log (12) - log (5)
Thus, the correct option is A. log (12) - log (5)
The expressions that is equivalent to log (12/5) would be A. log (12) - log (5).
Learn more about logarithm here:
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Muriel says she has written a system of two linear
equations that has an infinite number of solutions. One
of the equations of the system is 3y = 2x - 9. Which
could be the other equation?
Answer:
The other equation could be: 6y = 4x - 18
Step-by-step explanation:
System with infinite number of solutions:
A linear system has an infinite number of solutions when one equation is a multiple of another.
One of the equations of the system is 3y = 2x - 9. Which could be the other equation?
A multiple of 3y = 2x - 9
Multiplying by 2, the other equation could be: 6y = 4x - 18
Answer:
B: y=2/3 x -3
Step-by-step explanation:
I got it right on Edge
Solve the expression
Answer:
y - 12 = 89
y - 12 + 12 = 89 + 12
y = 101
create a story problem about a fish tank for the tape diagram below. Your story must include a fraction.
Answer:
Step-by-step explanation:
A large aquarium has a length of 84 inches. It is located in a large basement that is properly heated and ventilated. The width should be close to 1/2 the length and the height ought to be 1/6 the length. If the fish tank requires that an aerator be placed every 28 inches along the back edge, how many aerators are needed. Note: an aerator is not placed in either corner.
Width =_________________
Height= ________________
Aerators = ______________
Find the number of cubic inches of the fish tank. If an aerator will provide enough oxygen to aerate 5 cubic feet,, do you have enough aerators for the fish to live comfortably? If the answer is no, then how many aerators do you need?
Samuel is offering a pair of boots with an original price of $80.Store A is offering a 25% discount off the original price of all boots. StoreB is offering a $10 discount off the original price of all boots.
If you have $3250 how many board feet can you buy if the cost per board foot is $2.29?
Answer:
If i am right i think its 1419
Step-by-step explanation:
3250/2.29= about 1419
Answer:
1419.21= 1419
Step-by-step explanation:
Divide the amount of money you have with the cost price of what you want to buy.
$3250/$2.29=1419.213974
The answer is a decimal. But we can not have a unit as decimal so we have to round it down to the nearest whole number.
Therefore = 1419
A crew is picking up chairs in the gymnasium after an event. After
clearing 217 chairs from the gym floor, 36 chairs still remain. Write an
equation you can use to find the number of chairs c placed on the gym
floor for the event.
25,714.28571428571 to 2DP
The point (3,-1) is on the line by which equation below?
Answer:
D. y = x - 4
Step-by-step explanation:
Given the following data;
Points (x, y) = (3, -1)
To find the equation of line;
First of all, we would determine the slope of the graph.
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {5 - 5}{5 - 5} [/tex]
Slope, m = 1
Generally, the equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
Using points (x, y) = (3, -1)
-1 = 1*3 + c
-1 = 3 + c
c = -1 - 3
Intercept, c = -4
Therefore, the equation of line becomes;
y = x - 4.
What triangle is it unique triangle, more than one triangle, or no triangle?
Answer:
no triangle
Step-by-step explanation:
A triangle has side lengths 4.9cm 7.3cm and 8cm the angle measures are 36 degree 64° and 80°.?
1. Acute scalene
2. Acute isosceles
3. Obtuse isosceles
4. Obtuse scalene
Pls help ASAP because I need it :(
Need answer ASAP please help!
9514 1404 393
Answer:
31 square inches
Step-by-step explanation:
You can divide the shape into pieces several ways. The total area will be the sum of the areas of the pieces.
If we draw a horizontal line across the figure 2 inches up from the bottom, the figure is divided into a triangle and two rectangles.
The triangle has a base of 8 -3-2 = 3 inches, and a height of 4 -2 = 2 inches. Its area is ...
A = (1/2)(3 in)(2 in) = 3 in²
The rectangle below the line has a base of 8 inches and a height of 2 inches. Its area is ...
A = bh = (8 in)(2 in) = 16 in²
The rectangle above the line has a base of 3 inches and a height of 4 inches. Its area is ...
A = bh = (3 in)(4 in) = 12 in²
Then the total area of the figure is ...
(3 + 16 + 12) in² = 31 in² . . . . the area of the figure
Can someone please solve this for me?
416 ÷ 652
Show your work and I'll give brianliest
Answer: 0.63803681
Step-by-step explanation:
652/416 simplified= 163/10
then just divide bc its easier.
hope it helped :))
Answer:
0.63803680981
Step-by-step explanation:
First, you can see there is no way to divide 652 into 416. So, you need to add a decimal to 416. Then, you would multiply 652 by 6 and get 3912. You subtract 3912 by 4160 and get 248. Then, you add a 0 to that number. And then, you would keep repeating the steps. Decimal, multiply, subtract.
If f(x) = 7, then x = ______ .
Answer:
-10
Step-by-step explanation:
On a graph, f(x) means the same thing as y. So if y=7, then x=-10
PLS HELP!!!!!!!!!!!!!!!!!!!! Which number is divisible by both 5 and 6? A. 123,465 B. 132,640 C. 164,780 D. 184,290
A,B helps it help if you doubt used calculator
Find the solution to the equation7x + 3 = 9x - 3 - 2x
7x + 3 = 9x - 3 - 2x
7x - 9x + 2x = -3 - 3
0 = -6
equation doesn't have any solution
The cost of DVDs will grow at a rate of $1.40 each year. In 2013, a new DVD cost $17.99. Let z be the number of years since 2013.
Which function models the price of a new DVD 2 years after 2013?
O f (z) - 17.99 + 1.0147
O f (2) - 17.99 +1.42
f (x) – 17.99(1.4)
O f(z) – 17.99(1.014)
Answer:
A, because A is the answer(I have my reasons) so A.
<7 is a complement of <8 and m<7 = 18 degrees. Find m<8.
What is the rate of change: y=x+5
Answer:
x or 1x.
Step-by-step explanation:
The rate of change is slope.
Slope=m
y=mx+b
y=x+5
x is the same thing as 1x. So...