Radium-226 has a half-life of 1660 years. How many years does it take a radium sample to decay to 55% of the original amount? Round your answer to the nearest year.
Answer:
1432 years
Step-by-step explanation:
A(t) = I(0.5)^t/t1/2
Where t1/2 = half life = 1660
Final amount, A(t) = 0.55 of its original amount =. 0.55I
Hence, we have
0.55I = I(0.5)^t/1660
Take the log of both sides
Log(0.55) = log(0.5)^t/1660
t/1660 = log(0.55) / log(0.5)
t/1660 = 0.8624964
t = 0.8624964 * 1660
t = 1431.7441
t = 1432(nearest whole number)
2/3z=-6
Help please!!
Answer:
z = -9
Step-by-step explanation:
plz help me
which graph best represents a function with a domain of all real numbers less than 5?
It's graph(B).
Imma 100% sure 'bout this. Mark it!
The domain of a graph is the list of possible x values of the graph
Graph B has the domain of all real numbers less than 5
From the list of options, we have the following observations.
For graphs A and C,
The curves extend across the x-axis.
So, the domain is: [tex](-\infty,\infty)[/tex]
For graph D,
The curve extends in the negative x-axis, but stops at [tex]x = 0[/tex], with an open circle
So, the domain is: [tex](-\infty,0)[/tex]
For graph B, the curve extends in the negative x-axis, but stops at [tex]x = 0[/tex], with an open circle
So, the domain is: [tex](-\infty,5)[/tex]
The domain [tex](-\infty,5)[/tex] means that:
All real numbers less than 5
Hence, the domain is illustrated on graph B
Read more about domains at:
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HELP HELP I NEED HELP ASAP
George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George's older brother weigh?
Which of the following is a rational number? Select all that apply.
A. √1
B. √3
C. √4
D. √5
E. √8
F. √9
Answer: The numbers that are rational numbers are A, C, and F.
Step-by-step explanation: This is because all non-perfect square roots are always irrational. Also, perfect square roots are always RATIONAL. Therefore, the rational numbers of the choices given are [tex]\sqrt{1} , \sqrt{4}, \sqrt{9}[/tex]
Answer: A, C, and F. √1 √4 √9
Find FG
FGH= 49
GH=31
Answer:
18Step-by-step explanation:
From the given diagram;
FGH = 49
GH = 31
Using the expression to get FG;
FG + GH = FGH
FG + 31 = 49
FG = 49-31
FG = 18
Hence the measure of FG is 18
3=g/-4-5 g=??
i need help asappp
Answer:
g = -32
Step-by-step explanation:
Answer:
g= -32
Step-by-step explanation:
3=g/-4(-5)
add five
8=g/-4
multiply by -4
-32=g
Are 0.34 and 3/4 equivalent? Please explain your answer In complete sentences.
find the time it would take to triple an initial deposit of $2,000 at an interest rate of 8%, compounded semi-annually
(rounded to the nearest whole year)
Which represents the solution(s) of the graphed system of equations, y = x2 – 2x and y = –2x – 1?
(1, –1)
(0, 0) and (0, –1)
(0, 0) and (2, 0)
no solutions
Answer:
D) no solutions :D
Which is the best estimate for the percent equivalent to 3/8? 26% 27% 37% 38%
How do I write a phrase in words as an algebraic expression for 8/d?
Answer:
The quotient of 8 and d.
Step-by-step explanation:
I hope this helps you have a wonderful day! :D
Pls help ASAP!! 15 points?
Answer:
4 gte g
Step-by-step explanation:
Answer:
g < 4
Step-by-step explanation:
−12<−3g
Step 1: Flip the equation.
−3g>−12
Step 2: Divide both sides by -3.
−3g
−3
>
−12
−3
g < 4
Find the slope of the line y = –7 2 x − 5 8 . Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Slope = -7/2
Step-by-step explanation:
The standard equation of a line is expressed as y = mx+c
m is the slope
c is the y-intercept
Given the equation y = -7/2 x - 5/8
Compare with the general equation
mx = -7/2x
Divide both sides by x
mx/x = -7x/2x
m = -7/2
Hence the slope of the line is -7/2
A parabola opening up or down has vertex (0,-1) and passes through (4,-2). Write its equation in vertex form
Answer:
ok
Step-by-step explanation:
Find the slope of the line through the given points (3,2),(3,1)
This is because the x coordinates of each point are the same (both are 3). These two points form a vertical line, and any vertical line has an undefined slope.
We could use the slope formula to see that...
m = (y2-y1)/(x2-x1)
m = (1-2)/(3-3)
m = -1/0
m = undefined
We cannot divide by zero, so that's why the slope is undefined.
X
у
1
7
N
13
3
23
4
37
5
55
iction?
The table above represents what type of function?
WILL MARK AS BRAINLIEST Write a complete Spanish sentence to indicate what the following people
eat/drink each day. Make sure to capitalize the first word of the sentence, end
with a period and include the correct article (el, la, los, las)! If there is more
than one of an item, you need to make that food/beverage plural. Follow the
model.
Answer:
can we see the model
Step-by-step explanation:
four and sixty eight thousandths in decimal form
Answer:
4.068
Step-by-step explanation:
( i think. I haven't done decimals in a while)
The value of each digit in a number is known as the place value. The four and sixty-eight thousandths in decimal form can be written as 4.068.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The given number can be written as,
Four → 4Sixty-eight thousandths → 68×(1/1000) = 68/1000 = 0.68Now, we can write the complete number as,
Four and sixty eight thousandths = 4 + 0.68 = 4.068
Hence, the four and sixty-eight thousandths in decimal form can be written as 4.068.
Learn more about the Place Value here:
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#SPJ2
21.6/12x = 34.2 does anyone know how to do this?
Answer:
x = 32.6
Step-by-step explanation:
Please share the instructions: "Find the value of x ... " Also, indicate whether x is in the numerator or denominator.
If in the numerator, then we have (12.6/12)x = 34.2.
Multipying both sides by (12/12.6) yields 34.2(12/12.6), or x = 32.6
help please !!! it's 6th grade math
Answer:
$150
Step-by-step explanation:
$30 x 3 = 90
$20 x 3 = 60
90 + 60 = $150
hope this helps! (:
I need help plz......I'll give brainliest:
The sum of two numbers is 44. The smaller number is 12 less than the larger number. What are the numbers?
x+(12+x)=44
2x+12=44
2x=32
x=32/2
x=16
The two numbers are 16, 28
Hope I helped :)
Find the approximate sum of the series shown below.
Answer:
[tex]The~expression=7(\frac{5}{3})^{(1-1)}+ 7(\frac{5}{3})^{(2-1)}+7(\frac{5}{3})^{(3-1)}+7(\frac{5}{3})^{(4-1)}+7(\frac{5}{3})^{(5-1)}\\~~~~~~~~~~~~~~~~~~~~~~=7(\frac{5}{3})^0+7(\frac{5}{3})^1+7(\frac{5}{3})^2+7(\frac{5}{3})^3+7(\frac{5}{3})^4\\~~~~~~~~~~~~~~~~~~~~~~=7(1)+\frac{35}{3}+7(\frac{25}{9})+7(\frac{125}{27}) +7(\frac{625}{81})\\~~~~~~~~~~~~~~~~~~~~~~=7+\frac{35}{3}+\frac{175}{9}+\frac{875}{27} +\frac{4375}{81} \\[/tex]
[tex]=\frac{7(81)}{81}+\frac{35(27)}{3(27)} +\frac{175(9)}{9(9)} +\frac{875(3)}{27(3)}+\frac{4375}{81}\\=\frac{7(81)+35(27)+175(9)+875(3)+4375}{81}\\=\frac{10087}{81}\\=124.53086~(approximate)[/tex]
if 2x + 16 = -6x what is x
Answer:
x = -2
Step-by-step explanation:
Answer:
x is -2
Step-by-step explanation:
8x+16=0
subtract 16 from both sides
8x=-16
Divide each term by 8 and simplify
x=-2
A spinner has 3 sections of different sizes. The sections are orange, purple, and green. 1/4 of the spinner is orange. 7/12 of the spinner is purple. Which fraction of the spinner is green?
Answer: it would be 2/3
Step-by-step explanation:
What is the multiplicative rate of change for the exponential function f(x)= 3 (2/3)^-x
A. 0.4
B. 2.5
C. 0.6
D. 1.5
Answer:
C basta Yan ang sagot HAHAHA dko mapicturan solution ko e
Step-by-step explanation:
ano ba yan arte nyo sabing yan ang sagot eAnswer:
c 0.6
Step-by-step explanation:
lol
It took Hank 3.4 hours to travel 124 miles. At that rate, how long will it take Hank to travel 310 miles?
Answer: Time = 8.5 hours
Step-by-step explanation:
Step 1
Speed = distance / time
Distance traveled by Hank = 124 miles
Time = 3.4 hrs
Speed= Distance / Time
= 124/ 3.4 = 36.47 miles per hour
Step 2
At this same rate of speed =36.47 miles per hour, if he travels 310 miles, he will spend=
Time = Distance / Speed
Time = 310/ 36.47
Time =8.5 hours
Solve for n:
1-5|n-9|=-74
I need answer by 12:10, please help!!!
Answer:
[tex]n=-6, 24[/tex]
Step-by-step explanation:
We are given:
[tex]1-5|n-9|=-74[/tex]
Subtract 1 from both sides:
[tex]-5|n-9|=-75[/tex]
Divide both sides by -5:
[tex]|n-9|=15[/tex]
By definition of absolute value:
[tex](n-9)=15\text{ or } -(n-9)=15[/tex]
Solve for each case:
[tex]n=24\text{ or } n=-15+9=-6[/tex]
Therefore, our two solutions are:
[tex]n=-6, 24[/tex]
Can someone please help me! Right answer gets brainliest!!
Answer:
Step-by-step explanation:
Equation: x+6=13
Solution x=7
I hope this helps!
Do well!
what are all the sums and differences of 3/4?
Answer:
1/2 + 2/4
11/12 - 1/6
3/5 + 3/20
7/8 - 1/2
Step-by-step explanation: