The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? PLEASE HELP I MIGHT FAIL MATH.
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Explanation:
The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.
In this case, we start with 904 grams and follow this sequence:
904, 452, 226, 113, ...
Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.
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If you want to use a formula, then it would be
[tex]y = A*\left(\frac{1}{2}\right)^{x/H}[/tex]
where,
H = half-life duration (in this case, it is 35)
A = starting amount (which is 904 in this case)
x = amount of time that has elapsed (we will plug in x = 70)
y = final amount after x units of time has elapsed
note that x and H must have the same time unit. Both are in terms of hours in this case.
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So we will plug A = 904, x = 70, H = 35 into the formula to get...
[tex]y = A*\left(\frac{1}{2}\right)^{x/H}\\\\y = 904*\left(\frac{1}{2}\right)^{70/35}\\\\y = 904*(0.5)^{2}\\\\y = 904*(0.25)\\\\y = 226\\\\[/tex]
We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.
Is this SAS or Not SAS?
Answer:
SAS
Step-by-step explanation:
I NEED HELP!
Line 9 and 10
To calculate your taxable income, subtract the sum of lines 8 and 9 from line 7.
hi what is the answer for this
Answer:
16[tex]\pi[/tex]
Step-by-step explanation:
area of a circle is pi x r x r
since it is a quarter
1/4 x pi x 8 x 8 = 16 x pi
Answer:
formula = pi× r²× 1/4
Step-by-step explanation:
since radius = 8
3.14×8×8 = 3.14×16
4
therefore the answer is pi × 16
Which function can be used to determine the daily revenue if the price of a coupon card is decreased by x dollars?
R(x) = –x2 + 6x + 40
R(x) = –(x – 4)(x + 10)
R(x) = –(x2 – 14x + 40)
R(x) = –(x + 3)2 + 49
Answer:
option A
Step-by-step explanation:
Can anyone help with this? First question gets marked brainliest!
Answer:
5 cm
Step-by-step explanation:
Answer:
5 cm
Step by step explanation
Betty spent 12 minutes drying her hair and 16 minutes curling her hair. How much time did Betty spend drying and curling her hair combined?
Answer:
28 min
Step-by-step explanation:
The word combined signals to addition.
if we are adding 12+16, add the ones place first and you will get 8
There are 2 tens in the tens place
1+1=2
Put them together and it is 28 min
Hope this helped :)
Answer:
28
Step-by-step explanation:
because 12 + 16 = 28
What is the solution of the inequality shown
below?
c+2 < -1
Answer: c < -3
Step-by-step explanation: To solve for c in this inequality, your goal is the same as it would be you were solving an equation, to get c by itself on one side of the inequality.
Since 2 is being added to c, subtract
2 from both sides of the inequality.
On the left, the +2 and -2 cancel out
and on the right, -1 - 2 is -3.
So we end up with c < -3.
I have also graphed this for you below.
Which of the following is true of the data set represented by the box plot? (2 points)
box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15
Group of answer choices
a.) The data contains at least one outlier.
b.) The mean and median are most likely the same or very close.
c.) The data is skewed to the right.
d.) The median is 11.
Answer:
b
Step-by-step explanation:
Describe the values graphed on the number line in words. The number line represents the solutions of what inequality? How many solutions does this inequality have?
The number line represents every rnumber less than 11. This would be represented by [tex]x< 11[/tex]. I hope this helps
Answer:
The number line represents every number less than 11. This would be represented
hope this helps :}
PLS HELP middle school math
Answer: 2,4 4,8 8,16 and so on ...
Step-by-step explanation:
Simplify
(1/2k) (4k) + 12
2k 2 + 12
14k 2
2k + 12
14k
Answer:
(1/2) (4k) + 12 = 2k + 12
The parabola opens to the right. The focus is given as
F (p,0) and directrix x = -p. The distance between the
focus and point P is equal to the distance between the
directrex and point P. Continue to simplify the equation to
solve for y2. THE ANSWER IS 4px!! :)
Answer:
Step-by-step explanation:
We have that the focus is at (p,0) and that the directrix is x=-p. Take the point (-p,0) of the directrix. We know that the vertex of the parabola is at the middle point ot the line segment that joins the points (p,0) and (-p,0). To get the middle piont, we take the average coordinate by coordinate. That is, the middle point is [tex](\frac{-p+p}{2}, \frac{0+0}{2}) = (0,0)[/tex]. The general formula of a parabola of vertex (h,k) that opens to the right or to the left is given by
[tex](y-k)^2 = 4p(x-h)[/tex]
Where |p| is the distance from the focus to the vertex. If the parabola opens to the right, then p>0 and p<0 otherwise. In our case, h =0=k, so we get that
[tex]y^2 = 4px[/tex]
Answer:
y^2 = 4px
Step-by-step explanation:
edg 2021
Please calculate the volume if the triangular prism (MIDDLE SCHOOL MATH)
A recipe says that 3/4 cup of water is needed to make 1 loaf of bread which measurements represents the number of cups of water needed to make 8 loaves of bread
Answer:
i think six cups?
Step-by-step explanation:
i took 3/4 and multiplied it by 8 and got 6
Financial goal is to purchase a house. To make Marcel’s financial goal of purchasing a house a specific goal, he can . Next, Marcel can make his goal timely by . Lastly, Marcel can make his financial goal measurable by each month.
Answer:
Marcel's financial goal is to purchase a house. To make Marcel's financial goal of purchasing a house a specific goal, he can FOCUS ON SAVING FOR A DOWN PAYMENT. Next, Marcel can make his goal timely by GIVING HIMSELF A DEADLINE. Lastly, Marcel can make his financial goal measurable by TRACKING THE AMOUNT OF MONEY HE SAVES each month.
Find the unknown side length, x.
Answer:
b=24
Step-by-step explanation:
10^2+b2=24^2
100+b2=576
b2=476
then square root it
b=24
Tell whether the triangle with the given side lengths is a right triangle.
3.9 mm, 8.0 mm, 8.9 mm
WHat is the value of 599 x (400+37) QUICKKKKKK!!
239,637
261,763
432,599
599,437
Answer:
b: 261,763
Step-by-step explanation:
do the parenthesis then mutiply the 2 #s
Option B is correct. The value of 599 x (400+37) is 261,763.
Given the values A, B and C. According to the distributive law:
A(B + C) = AB + AC
Applying the rule to the given question:
599 x (400+37)
= 599(400) + 599(37)
= 239,600 + 22,163
Adding up the result
= 261,763
Hene the value of 599 x (400+37) is 261,763.
Learn more here: https://brainly.com/question/12953263
Which inequality will have a shaded area below the boundary line?
Answer:
When you change the inequality as the formula of y>ax+b, it is over the boundary line. While the formula is y<ax+b, it is below the boundary line. So we can get the answer is D.
Step-by-step explanation:
A manufacturer finds that the life expectancy of its best selling model of dishwashers is 11 years and the standard deviation is one year. The lifespans are approximately normally distributed . What percent of dishwasher models skill last from 9-13 years? A. About 68%. B.about 95%. C. About 34 percent. D. About 47.5 percent
find the distance between the points of (-5,-10) and (2,4)
The area of a rectangle is 99 square inches. What is the new area of the rectangle if the height were five times long and the base decreased by one-third? Answer_square inches
Answer:
330 square inches
Step-by-step explanation:
99 x 5 =495
495 x 2/3 =330
need help with this question
Answer:
x=-7,y=10,p=53°,k+w=90°,k=45°,w=45°
Step-by-step explanation:
hope this helps
Use the box method to distribute and simplify (-6x-3)(4x+2).(−6x−3)(4x+2). Drag and drop the terms to the correct locations of the table.
Answer:
576 x 4 + 1152 x 3 + 864 x 2 + 288 x + 36
Step-by-step explanation:
The simplification of the given equation is [tex]-24x^2 -24x -6[/tex]
Given that,
The equation is (-6x-3)(4x+2).The calculation is as follows:[tex]= (-6x - 3) \times (4x + 2)\\\\= -24x^2 -12x - 12x -6\\\\= -24x^2 -24x -6[/tex]
Find out more information about the equation here:
https://brainly.com/question/2263981?referrer=searchResults
A Weather Forecaster, predicts that there is a 25% chance of rain on Saturday and a 40% chance of rain on Sunday. If these probabilities are correct, what is the probability that it will rain both days?
32.5%
10%
12%
65%
Answer:
10%.
Step-by-step explanation:
These 2 probabilities are independent so we multiply them:
Prob(It rains both days) = 0.40 * 0.25
= 0.10
= 10%.
=
Please Answer Quick i'm in a rush please ill give brainliest!!!!!!!
The map shows the location of the houses of Dan, Joe, Lee, and Roy:
Coordinate grid shown from negative 5 to positive 5 on x-axis and negative 5 to positive 5 on y-axis. A point labeled Dan is shown on ordered pair 1, 4. A point labeled Joe is shown on ordered pair negative 3, 4. A point labeled Lee is shown on ordered pair negative 3, negative 4. A point labeled Roy is shown on ordered pair 2, negative 3.
The coordinates of the community center are (5, −1). Who has a house in the same quadrant as the community center?
Dan
Joe
Lee
Roy
Answer:
roy is in the same quadrant
Step-by-step explanation:
↙↘⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵
Answer:
roy
Step-by-step explanation:
These rational expressions all have the same denominator. Write the sum of their numerators over the common
denominator
2x+1/x-3 + x/x-3 + 4/x-3
A) 8x^2 + 4x/x-3
B) x+5/x-3
C) 3x+5/x-3
D) 3x+5/3(x-3)
Answer:C- 3x+5 x-3
Step-by-step explanation:
Answer:
C) 3x+5/x-3
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
Simplify. Rewrite the expression in the form y^ny n y, start superscript, n, end superscript. y^{-4}\cdot y^{3}=y −4 ⋅y 3 =y, start superscript, minus, 4, end superscript, dot, y, cubed, equals
Answer:
[tex]y^{-4}\cdot y^3=y^{-1}[/tex].
Step-by-step explanation:
The given expression is
[tex]y^{-4}\cdot y^3[/tex]
We have to simplify the above expression. in form of [tex]y^n[/tex].
Using property of exponents, we get
[tex]y^{-4}\cdot y^3=y^{-4+3}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
After addition of exponents, we get
[tex]y^{-4}\cdot y^3=y^{-1}[/tex]
Therefore, [tex]y^{-4}\cdot y^3=y^{-1}[/tex].
Find the value of x.
Answer:
x=8
Step-by-step explanation:
5x+8
5x8=40
x=40
Answer:
x = 25.6
Step-by-step explanation:
1. Both angles towards the bottom equal 48 degrees, so the angle on the left (already shown) and across on the right equal 48. Add/multiply both of them
48 * 2 = 96
Now, like triangles, figures with 4 sides add up to a certain number of degree. Four sided figures or quadrilaterals (the ”fancy” math word for it) add up to 360 degrees.
2. Adding up to 360 degrees means that all four angles have to be evenly split, you already know that the corners are 48 degrees, the bottom corners, you don’t know yet, therefore, we subtract 360 by 96 and divide the difference.
360 - 96 = 264
264/2 = 132
3. From the explanation above, you now know that the bottom corners will equal 132 degrees, therefore you will set the equation to be equal to 132 degrees.
5x + 8 = 132
5x = 128
x = 25.6
The answer is x = 25.6, I hope this explained everything, there are some theorems which make remembering these steps a lot easier, and alternative approaches you could have taken, but this is my approach.
