Answer:
The answer is "[tex]\frac{dA}{dt}+ \frac{A}{100}=0\ \ and \ \A(0)=60[/tex]"
Step-by-step explanation:
[tex]A(0)=60\\\\ \frac{dA}{dt}=Rin-Rout\\\\Rin=0\\\\Rout=\frac{A(t)}{500} \times (5)\\\\ =\frac{A}{100}\\\\ so,\\\\\frac{dA}{dt}=Rin-Rout\\\\\frac{dA}{dt}=0- \frac{A}{100}\\\\\frac{dA}{dt}+ \frac{A}{100}=0\\\\A(0)=60[/tex]
Who has larger pieces of pizza? Joey has a slice of pizza cut from pizza with a radius of 8 in and cut into 6 slices. Susie has a slice of pizza cut from a pizza with a radius of 9 in and cut into 8 slices
What is the value of m in the equation 4m + 2(m + 1) = 9m + 5?
1. −1
2. 1
3. 7
4. 17
Answer:
hhhhhhhhhhooooooooooooooooooooo
Step-by-step explanation:
The proportion of iphone users over other smart phones is said to be 42%. We believe the propotion may be greater. Determine the sample size needed to test this claim using alpha = 0.05, beta = 0.05, and the maximum error we will allow is 0.10.
A.
322
B.
379
C.
504
D.
269
Please help Solve log7-2b-9=6
Answer:
See the image below:)
Step-by-step explanation:
A group of 4 friends went to a sporting event. It cost a total of $12 for them to get in. How much did it cost for each of them to get in?
Answer:
$3
Step-by-step explanation:
4 friends = $12
4/12= 3
Answer:
$3
Step-by-step explanation:
12 total divided by four people meanig they each payed $3 12/4 = 3
Jordan’s Cat Fern is a finicky eater. Jordan is trying to determine which of two brands of canned cat food Fern prefers.
Answer:
There is significant difference in difference in the amount of food ferns eat ; and the preferred is TAB-a-cat.
(0.216, 5.984)
Step-by-step explanation:
This is a 2 sample t test test problem :
The hypothesis :
H0 : μ1 = μ2
H1 : μ1 ≠ μ2
x1 = 85.2 ; x2 = 82.1 ; n1 = 31 ; n2 = 30 ; s1 = 3.45 ; s2 = 4.62
The test statistic :
T = (x1 - x2) / √(s1²/n1 + s2²/n2)
T = (85.2 - 82.1) / √(3.45²/31 + 4.62²/30)
T = 3.1 / 1.0466
T = 2.96
Using the Pvalue from Tstatistic calculator :
df = smaller n - 1 = 30 - 1 = 29
Pvalue(2.96, 29) = 0.006075
α = 0.05
Pvalue < α ; We reject the Null and conclude that there is significant difference in difference in the amount of food ferns eat.
99% Confidence interval :
The test statistic :
(x1 - x2) ± Tcritical *√(s1²/n1 + s2²/n2)
Tcritical at 99% = Tcritical(0.01, 29) = 2.756
(85.2 - 82.1) / 2.756*√(3.45²/31 + 4.62²/30)
3.1 ± 2.8844296
Lower boundary = (3.1 - 2.8844296) = 0.216
Upper boundary = (3.1 + 2.8844296) = 5.984
(0.216, 5.984)
Since interval does not contain 0, then, we reject the Null.
What value is closest to the area of the damaged section?
Answer:
6.0 square feet
Step-by-step explanation:
6 ÷ 2 = 3(radius)
are of the damaged section = x
77/360 = x/3²π
=> x = 77 × 9π ÷ 360 = 6.0445 <= 6.0 square feet is the closest to this number
The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal. If we wanted to limit the margin of error of a 95% con dence interval to 2%, about how many Americans would we need to survey?
Answer: we need to survey 2285 Americans.
Step-by-step explanation:
When population proportion (p) is known, then the formula to evaluate the sample size( minimum) is given by :-
[tex]n=p(1-p)(\frac{z^*}{E})^2[/tex], where E = margin of error , z* = critical z-value.
Given: p= 0.61, E=0.02, Critical z value for 95% = 1.96
Required sample size: [tex]n=(\frac{1.96}{0.02})^2(0.61)(1-0.61)[/tex]
[tex]=(98)^2(0.61)(0.39)\\\\=9604(0.61)(0.39)\\\\\approx$$2285[/tex]
Hence, we need to survey 2285 Americans.
Jamie will plot ( 9, 5 ) on a coordinate plane. She knows the last step is to put a point where to lines intersect. Which two steps should she use first?
Answer:
Step-by-step explanation:
54
I think
Find the sum and Express it in simplest form. (u^3+3u^2+3) + (-6u^3-8u^2)
Answer:
-5u^3 - 5u^2 + 3.
Step-by-step explanation:
(u^3 + 3u^2 + 3) + (-6u^3 - 8u^2)
= u^3 + 3u^2 + 3 - 6u^3 - 8u^2
= u^3 - 6u^3 + 3u^2 - 8u^2 + 3
= -5u^3 - 5u^2 + 3.
Fill in the missing monomials: 49y4x6= (_______)2
Answer:
7y²x³
Step-by-step explanation:
when taking an exponent to an exponent multiply them
(7y²x³)² = 49y⁴x⁶
Leah asked for one and 1/2 pounds of fish at the grocery store which value is equivalent to 1 1/2
Answer:
3/2
Step-by-step explanation:
make into a improper fraction
The half life of a drug in the bloodstream is 18 hours. What fraction of the original drug dose remains in 36 hours? in 72 hours?
Answer:
1/4 in 36 hours
1/8 in 72 hours
To determine the fraction of the original drug dose remaining after a certain time, we can use the concept of half-life. The half-life is the time it takes for half of the drug to decay or be eliminated from the bloodstream.
Given that the half-life of the drug is 18 hours, we can calculate the fraction of the original drug dose remaining after a certain number of hours.
After 18 hours (one half-life), half of the drug remains, which is equal to 1/2 or 0.5 of the original dose.
To find the fraction remaining after 36 hours (two half-lives), we can halve the remaining amount from the previous step:
(1/2) * (1/2) = 1/4 or 0.25
Therefore, after 36 hours, 1/4 or 0.25 of the original drug dose remains.
To find the fraction remaining after 72 hours (four half-lives), we can continue halving the remaining amount:
(1/2) * (1/2) * (1/2) * (1/2) = 1/16 or 0.0625
Therefore, after 72 hours, 1/16 or 0.0625 of the original drug dose remains.
In summary:
After 36 hours, 1/4 or 0.25 of the original drug dose remains.
After 72 hours, 1/16 or 0.0625 of the original drug dose remains.
To know more about fraction here
https://brainly.com/question/30154928
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FREE BRANLIEST PLEASE ANSWER WITH CORRECT EQUATIONS
Answer:
c.153 degrees
Step-by-step explanation:
hope it helps
Linear pairs are supplementary
m<ABD+27=180m<ABD=180-27m<ABD=153°Help besties please flip the picture to see better
Answer:
E. C= 80+ 12n
Step-by-step explanation:
____________
Math- bbbbbbbbbbbbbbb
Answer:
b
Step-by-step explanation:
Answer:
B is the correct answer
Hope this helps!! :D
Can someone please help?
Answer:
It is closer to 7,000 than 8,000
Mark congruent angles. Write down the ratios.
Answer:
ratio=AC/FD=AB/ED=BC/FE
Step-by-step explanation:
Which is an equivalent scale factor of Mr. Barrow's height to the height of the power pole?
A. 162:18
B. 6:54
C. 18:162
D. 54:6
9514 1404 393
Answer:
C. 18:162
Step-by-step explanation:
Both B and C are the same scale factor, and both correctly express the ratio of the shorter height to the longer one.
The ratio of choice C is directly obtained from the figure, so is probably the best choice.
CAN SOMEONE HELP ME PLS
A because they are preserving? I guess that's the best way for me
determine the solutions to 12x^2 + 10x + 2 = 0 by factoring
Answer:
[tex]x = - \frac{1}{3} , - \frac{1}{2} [/tex]
Step-by-step explanation:
2(6x²+5x+1)=0
2(3x+1) (2x+1)=0
either: 3x+1=0 —> 3x=–1 —> x= –1/3
or: 2x+1=0 —> 2x=–1 —> x = – 1/2
please help will mark brainliest for right answer! No links...
Let f(x)=2x^3−x . What is the average rate of change of f(x) from 2 to 8 ?
Answer:
[tex]f(x) = {2x}^{3} - x \\ \delta \: f(x) = \frac{f(8) - f(2)}{2} \\ = \frac{(2 {(8)}^{3} - 8) - (2 {(2)}^{2} - 2)}{2} \\ = \frac{(1016 - 6)}{2} \\ = \frac{1010}{2} \\ = 505[/tex]
Which one of these is written in the slope-intercept form? A. x = mb + y B. x + y = 1/3m C. y = mx + b B. y + b = m+ x
Answer:
C
Step-by-step explanation:
y = mx + b is the standard form of a Slope-Intercept
Stephen, Gavin and Jim share
some sweets in the ratio 3:1:2.
Stephen gets 24 sweets. How many
sweets are there altogether?
Answer:
There are 48 sweets altogether.
Step-by-step explanation:
Ratio: 3:1:2
Stephen: 24 sweets
24/3 = 8
Fill in ratio.
24:8:16
24 + 8 + 16 = 48
Answer:
48 sweets
Step-by-step explanation:
Stephen : Gavin : Jim
3 : 1 : 2
We can say that this means the total amount of sweets get split between the 3 of them into 6 equal parts ( 3 + 1 + 2).
If Stephen gets 24 sweets, this means
3 parts = 24
So to find 1 part, divide 24 by 3.
1 part = 8 sweets
Now we can find the total by multiplying this by 6.
6 parts = 8 x 6 = 48 sweets.
Complete the comparison 5+4. A.9+1. B.10+0.C.5-4.D.15-4
Answer:
A.5+4<9+1
B. 5+4<10+0
C. 5+4>5-4
D. 5+4=15-4
Step-by-step explanation:
A. 9<10
B. 9<10
C. 9>1
D9=9
Answer:
A=10>5+4
B=10>5+4
C=1<5+4
D=11>5+4
Step-by-step explanation:
The hypotenuse of a right triangle is 10cm long. One of the triangle’s legs is three times the length of the other leg. Find the lengths of the three sides of the triangle. In case of non-integer answer(s), round your answer(s) to the nearest hundredth.
Answer:
side_1 = 10
side_2 = 3.16
side_3 = 9.49
Step-by-step explanation:
pitagora's theorem
[tex]x^2+(3x)^2=10^2\\x^2+9x^2=10^2\\10x^2=10^2\\x^2=10\\x=\sqrt{10}[/tex]
Can anyone help me with my math I have a picture of it
What is the diameter
Answer:
From J to K is the diameter
please help me asap! i’ll give brainliest!
Answer:
1/9
Step-by-step explanation:
First find the area of each circle with the formula a= Pi(r^2)
Area of circle with a radius of 4
a= Pi(4^2)
a= 16pi
Area of circle with radius of 12
a= Pi(12^2)
a= 144pi
Now use these values to represent the areas of the circles as a ratio
16pi/ 144pi
The pi's cancel out in this ratio
So we are left with
16/144
We can then go ahead and simplify these numbers as well to get the ratio in the simplest form
1/9
What does the following translation rule mean? (x+3, y-5) *
O
Move left 5 and up 3
Plot the point (3,-5)
Move upside down 3 and a little to the left 5
Move right 3 and down 5
==========================================================
Explanation:
The x+3 means "move right 3". We add 3 to whatever the x coordinate is.
For example, the point (1,7) becomes (4,7) after adding 3 to the x coordinate. That visually shifts the point 3 units to the right.
Similarly, subtracting 5 from the y coordinate will shift the point 5 units down. That's what the y-5 is referring to. Example: (10, 12) moves to (10, 7).
----------------
Extra info:
We can write the translation rule as [tex](x,y) \to (x+3, y-5)[/tex]
With this notation, we can then say something like this for example
[tex](x,y) \to (x+3, y-5)\\\\(6,8) \to (6+3, 8-5)\\\\(6,8) \to (9, 3)\\\\[/tex]
Showing that the point (6,8) moves to (9,3) after applying the rule "move right 3, down 5".