Answer:
60.2 grams is remaining after 7 minutes.
Step-by-step explanation:
Exponential equation for amount of 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 measure.
An element with mass 510 grams decays by 26.3% per minute.
This means that [tex]A(0) = 510, r = 0.263[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 510(1-0.263)^t[/tex]
[tex]A(t) = 510(0.737)^t[/tex]
How much of the element is remaining after 7 minutes?
This is A(7). So
[tex]A(7) = 510(0.737)^7 = 60.2[/tex]
60.2 grams is remaining after 7 minutes.
Figure B is a scaled copy of Figure A. Figure A Figure B
Answer:
I believe 2.
Step-by-step explanation:
All the lengths can be multiplied by 2 to equal the lengths of the larger triangle. However, I am not positive.
Answer:
2
Step-by-step explanation:
22x2=44
10x2=20
32x2=64
40x2=80
all of them match so yes they are equivalent
Alex bought a 6-pack of sports drink bottles that each had a volume of 350 ml.
a If Alex drank 3 of them, how many milliliters did she drink? Show your work.
Answer:
1,050ml
Step-by-step explanation:
6 x 350= 2,100
3 x 350= 1,050
2,100 - 1,050 = 1050ml
A coin is flipped and a die is rolled find the probability of getting a head on the coin and a 4 on the die
Answer:
So for the head and tails one it is 1/1 chance of getting a head and for the dice on it is 1/21 that's the porbability hopes this helps :)
Step-by-step explanation:
Probability of getting a head on the coin and a 4 on the die is 0.083.
What is probability?Probability defines the likelihood of occurrence of an event. Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Probability(Event) = Favorable Outcomes/Total Outcomes
According to the question
A coin is flipped and a die is rolled
Probability of getting a head on the coin and a 4 on the die:
Total Number of favorable outcomes(coin is flipped) = {H, T} = 2
Number of favorable outcomes (head) = 1
Total Number of favorable outcomes(die is rolled) = {1, 2, 3, 4, 5, 6} = 6
Number of favorable outcomes (4 on the die) = 1
P(head) = [tex]\frac{1}{2}[/tex]
P(4) = [tex]\frac{1}{6}[/tex]
P(head and 4) = [tex]\frac{1}{2}[/tex]. [tex]\frac{1}{6}[/tex]
= [tex]\frac{1}{12}[/tex]
= 0.083
Hence, Probability of getting a head on the coin and a 4 on the die is 0.083.
Find out more information about Probability here
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how can i do dis plss
I need help what is 1+1 I've been on this for TWO hours...
Answer:
the answer is 2
Step-by-step explanation:
sorry if this is wrong
What is an equation of the line that passes through the points (7,4) and (-5,4)
Answer:
y=4
Step-by-step explanation:
Which of the following functions has the same horizontal asymptote as the function graphed below?
Answer:
In most cases, there are two types of functions that have horizontal asymptotes. Functions in quotient form whose denominators are bigger than numerators when x is large positive or large negative.
Step-by-step explanation:
Janie walks 1 mile to get to a running track.she then runs at a speed of 3.5 miles per hour.Which linear models represents the total distance she ran and walked, d, as a function of t, the time she runs,in hours?
Answer:
d = 3.5t + 1
Step-by-step explanation:
The linear function would have to multiply the speed she runs at the track by the number of hours that she spent running. Then it should add this amount to the 1 mile that she walked to get to the track. If we use the variable d as the total distance that she ran and walked, and the variable t to represent time then we would create the following linear function/model.
d = 3.5t + 1
Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?
Need help please. What is the area of the shaded region. Thank you so much.
Answer:
[tex]Area = 8\ unit^2[/tex]
Step-by-step explanation:
Given
The 7 * 3 grid
Required
Determine the area of the shaded
From the grid, 4 cells on 2 rows were shaded.
Since 1 grid cell = 1 unit.
The area is:
[tex]Area = 4\ unit * 2\ unit[/tex]
[tex]Area = 8\ unit^2[/tex]
Which expresses shows another way to write 36+16?
4(9 + 4), because :
4 * 9 + 4 * 4 = 36 + 16
PlEASE HELP ASAP!!!! USATEST PREP DUE TODAY!!!Please No Links!!!
okey no links here u go
Answer:
2
Step-by-step explanation:
[4^2/(-1+3)^3+2*10] / (10+1)
= [16/8+20] / 11
= 22/11
=2
Hope this helps :) Giving me brainiest would help a lot :))
How many 1/5 are in 20? Enter your answer in the bo
Answer:
4
Step-by-step explanation:
20 devided by 1/5 is 4
Factor the following: 18X - 6
6 (3x - 1)
18 (x - 1)
9 (2x - 4)
I need the answer NOW
Answer:
Answer is 6(3x-1)
Step-by-step explanation:
I hope it's helpful!
What is the surface are of the box in square meters that Elizabeth decorates
Answer:
Step-by-step explanation:
ASAP!! Which graphs have same domain?
Graphs 1 and 2
Graphs 1 and 3
Graphs 2 and 3
Graphs 1, 2, and 3
Answer:
B
Step-by-step explanation:
Helllllllpppppp pls help me
Answer:
there you go!! it's correct dont worry
15, 16, 21 determine wether the triangle is acute
Answer:
no they don't because you could not use those numbers
Decide if the expression is positive or negative. Explain in words how you know, please.
11/-3 and -11/-3
Answer:
The expression is negative
Step-by-step explanation:
11/-3 is negative
-11/-3 is positive
negative + positive or positive + negative = negative
Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation Il: 2x + 3y = 2
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
B
Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I
0
Substitution: Equation I can be solved for x in one step by dividing both sides by 4.
D.
Substitution: Equation Il can be solved for x in one step by subtracting 3y from both sides.
Answer:
C
Step-by-step explanation:
Give triangle ABC with coordinates A(3, 8), B(9,0) and C(5,2). How can you prove that triangle ABC is isosceles? Show your work.
Answer:
The distances AB and BC are
√
52
and therefore isosceles.
Explanation:
If we label them A(13,-2) B(9-8) and C(5-2)
The distance between A and B:13⇒9=4−2⇒−8=42+62=52 so the distance is √52
The distance between B and c:9⇒5=4−8⇒−2=642+62=52
the distance is
√
52
The distance between A and C is 8 as they are both on -2 for
y
The distances AB and BC are
√
52
and therefore isosceles.Step-by-step explanation:
Which letter has line symmetry?
Answer:
e. M
Step-by-step explanation:
Answer:
M has line symmetry
Step-by-step explanation:
hope this helps
Data from a representative sample were used to estimate that 31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money. You decide to conduct a survey to estimate this proportion for the current year. What is the required sample size if you want to estimate this proportion with a margin of error of 0.05
Answer:
The required sample size is 329.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money.
This means that [tex]\pi = 0.31[/tex]
Confidence level is not given, so we assume 95%.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What is the required sample size if you want to estimate this proportion with a margin of error of 0.05?
We need a sample size of n. n is found when M = 0.05. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.31*0.69}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96\sqrt{0.31*0.69}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.31*0.69}}{0.05}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.31*0.69}}{0.05})^2[/tex]
[tex]n = 328.6[/tex]
Rounding up
The required sample size is 329.
What is the solution to this addition sentence?
3/4 + (-1/2) = _____
Answer:
1/4
Step-by-step explanation:
-1/2 in to -2/4
3/4+(-2/4)=1/4
WILL MARK BRAINLIEST! Solve for X on the provided picture. Thank you!
Answer:
Step-by-step explanation:
x + (180-140) + (180-132) = 180
x = 92°
the sum of 2 fractions 8/9. the difference 2/9. what are the 2 fractions?
Answer:
5/9 and 3/9
Step-by-step explanation:
run through the different possibilities and see what has a difference of 2/9th. Here is the way I ran through it
1/9 + 8/9 Difference is not 2/9th
2/9 + 6/9 Difference is not 2/9th
3/9 + 5/9 Difference is 2/9th. This is our answer
Step-by-step explanation:
5/9 and 3/9.....add 5/9 and 3/9 and you will get 8/9....if you subtract 5 and 3 it will give you 2....5/9-3/9=2/9
What is the equation ( y = mx + b) of the line that passes through (2,5) and (6, 13)
Answer:
y=2x+1
Step-by-step explanation:
y=mx+b
m=(13-5)/(6-2)
m=8/4
m=2
b=y-mx
b=5-2*2
b=5-4
b=1
y=2x+1
Answer:
y=2x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(13-5)/(6-2)
m=8/4
m=2
y-y1=m(x-x1)
y-5=2(x-2)
y-5=2x-4
y=2x-4+5
y=2x+1
-3z - z equivalent expression
What is the area of the top AND bottom faces?
Answer:
Top : 24cm²
Bottom : 24cm²
Step-by-step explanation:
Surface area : Base × Height
Top :
3 × 8 = 24
Bottom :
3 × 8 = 24
For this cylinder the radius = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area?Use 3.14 what is this answer
Answer:
896.784
Step-by-step explanation:
Comment if you want the explanation