Answers:
Exponential decay model is y = 500*0.88^x
There is roughly 0.0000000000237 mL of the original air left.
There are 10 zeros between the decimal point and the '2'
The number in scientific notation is [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex]
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Further Explanation:
A general exponential equation is
y = a*b^x
We start with 500 mL of air which is the value of 'a'
If 12% of the air is replaced, then 88% of it remains because 12% + 88% = 100%
Convert 88% to the decimal form 0.88 and this represents the base of the exponent. This is the value of b.
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Since a = 500 and b = 0.88, we have
y = a*b^x
y = 500*0.88^x
Now we plug in x = 240 to estimate how much of the original air is in the lungs after that many breaths.
y = 500*0.88^x
y = 500*0.88^240
y = 0.0000000000237
This number is very small and to be expected since quite a bit of breaths have occurred. Nearly all of the original air particles should be replaced by this point. A very small trace amount remains.
Notes:
There are 10 zeros between the decimal point and the '2' in the number 0.0000000000237The number 0.0000000000237 is so small that it probably makes sense to use scientific notation to write [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex] meaning we move the decimal point 11 spots to the left to go from 2.37 back to 0.0000000000237The number 0.0000000000237 is read out as "237 ten-trillionths". Imagine splitting an object into ten trillion tiny pieces, and then shading 237 of those pieces to represent this decimal number.PLEASE HELP ASAP Write an equation that models the data in the table (Screenshot below)
Answer:
y = 7x
Step-by-step explanation:
Every y is greater 7 times than x. It means that everytime you multiply X by 7, it will be equal to y
Please help!! If you aren't going to actually help, please don't even answer.
#1
Change of base formula is given by
[tex]\\ \rm\Rrightarrow log_ab=\dfrac{log_db}{log_da}[/tex]
#2
Two most common bases are
e10As general logarithm has base 10 and natural has base e hence these two are most used
#3
We use e as base
[tex]\\ \rm\Rrightarrow log_23[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{log_e3}{log_e2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{ln3}{ln2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1.0986122886681}{0.6931471805599}[/tex]
[tex]\\ \rm\Rrightarrow 1.6[/tex]
Which equation has no solution? |4x – 2| = –6 |–2 – x| = 9 |3x 6| = 6 |–2x 8| = 0
Step-by-step explanation:
The absolute value of any equation can never be negative.
|4x - 2| = -6 has a negative value -6.
The |4x - 2| = -6 has no solution for x because |x| can not be negative.
Multiply
−3/10xy (60xy^6)
[tex]-\frac{3}{10}xy (60xy^{6} )[/tex]
Answer:
[tex] - 18 {x}^{2} {y}^{7} [/tex]
Step-by-step explanation:
[tex] - \frac{3}{10} xy(60x {y}^{6} ) = - \frac{3}{10} (60) \times x \times x \times y \times {y}^{6} \\ = - 18 {x}^{2} {y}^{7} [/tex]
help me if you can please?? and thanks! :)))
Answer:
0.0095
Step-by-step explanation:
= 0.009455 ( as they are bigger than 4 )
= 0.0095
4. Arthur invests $5,000 in a savings account that earns 3% interest per year. Egn:
Answer:
I don't know the amount of years you need, but the formula to find this would be 5000(1.03x) with "x" representing the number of years
Which of the following is NOT a statistical question?
A) How many pets are owned by my uncle?
B) How many pets are adopted in a pet store each week?
C) How many pets are owned by the individual teachers in my school?
D) How many pets are owned by the individual students in a karate class
Answer:
A) How many pets are owned by my uncle.
Step-by-step explanation:
This question is NOT statistical because it has a definite answer.
There is one number that can represent how many pets are owned by let's say your uncle.
On the other hand, B, C, and D compare two different things.
Hope this helps!
does anyone know what the questions are for module 3 algebra dba
Answer:
no
Step-by-step explanation:
I never knew u had dba for math
Explain why 5.12 x 4 equals 20.48 with numbers.
Answer: 20.48
Step-by-step explanation: you add 5.12 four time then you get 20.48.
Please solve for X and Y
CCan you make it visible to see, please!CCan
Find the measure of angle 4
689
44
68
90
136
Answer:
90 degrees
Step-by-step explanation:
It is a right angle
please ayudar -2x + 6 ≤ 41 + 3x
Answer:
x => -7
Step-by-step explanation:
to solve this equation you should start by subtract 6 on both sides
-2x <= 3x + 35
then subtract 3x to both sides
-5x <= 35
then you divide both sides by -5
x => -7
you must change the signs because you multiplied it by a negative
(urgent) help! pic is below, its either A or B!
Answer:
Airplane A.
Step-by-step explanation:
Please help ASAP!
Will try to give brainliest!
Hey!
Q19.80÷0.35= 28Therefore, he sold 28 cups of lemonade
I'm sorry, not very sure about the second one. But I think 100 maybe not!Bao sold 28 cups and spend $2.5 on 50 cups.
What are words problems?A word problem in math is a math question written as one sentence or more that requires children to apply their math knowledge to a 'real-life' scenario.
Given that, Bao is selling lemonade at $0.35 per cup.
We need to determine, number of cups he sold if he earned $9.80,
And,
Bao bought 50 paper cups for $0.50 each, how much he spent on them,
1) Let he sold x cups,
So,
0.35x = 9.8
x = 28
Therefore, he sold 28 cups.
2) Since, one cup is for $0.05 therefore,
50 cups = 50 x 0.05
= $2.5
Therefore, cost of 50 cups is $2.54
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PLS HELP FOR BRAINLY
Answer:
B
Step-by-step explanation:
Hope this helped and brainly please
Square a root of 32761 by division method
Answer:
181..
Step-by-step explanation:
1 8 1 < answer
-----------
32761
1 1
227
28 224
361
361 361
Which shows the correct solution to the inequality StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p? StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative StartFraction 37 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative StartFraction 37 over 40 EndFraction.
Answer:
The answer is C
Step-by-step explanation:
A triangular prism is shown below. What is the volume of the prism in cubic centimeters? Group of answer choices
A.168
B.840
C.280
D.336
How can you rewrite (z ≤ −1.75) in order to find the answer?
We can rewrite (z ≤ −1.75) in order to 4%.
We have given that (z ≤ −1.75).
We have to use the Normal Distribution is symmetrical
What is the Normal Distribution is symmetrical?The normal distribution is symmetric and has a skewness of zero.
[tex]P(z \leq -1.75)[/tex]
[tex]P(z > > 1.75)[/tex]
[tex]1 - P(z \leq 1.75)[/tex]
[tex]1 - 0.9599[/tex]
[tex]0.04001 \times 100=4.001 \%[/tex]
That is nothing but the 4%
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Answer:
D: 1 - P(z [tex]\leq[/tex] 1.75).4%Step-by-step explanation:
10. A company is designing a new cylindrical water bottle. The volume
of the bottle is 103 cubic centimeters. What is the radius of the
water bottle? Estimate using 3.14 for , and round to the nearest
hundredth.
The radius of the water bottle to the nearest hundredth is 2.01 cm
How to calculate the volume of a cylinderA cylinder is a solid figure with circular bases and height.
The volume of a cylinder = πr²h
h is the height = 8.1cm
Volume = 103 cubic cm
Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²
r = 2.01 cm
Hence the radius of the water bottle to the nearest hundredth is 2.01 cm
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can someone help with this??
Answer:
1 is 13480851.0638
2 is 20438709.6774
3 is 5812844.0367
Step-by-step explanation:
does anyone know what mathia is?
Answer:
I think its some sort of learning platform. Search it up.
Step-by-step explanation:
At Fairview Middle School, 75 band members need to raise a total of $8,250 for a trip. So far, they have raised $3,120.
How much money, in dollars, per band member, still needs to be raised for the trip?
The entire band decides to have a concert to raise the money for the trip. Tickets for the concert will cost $7.50 each.
A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip.What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?
How much money, in dollars, per band member, still needs to be raised for the trip?
$68.40A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip. What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?
456 ticketsThe sum of consecutive positive integers is 93.find number
Answer:
46 and 47.
Step-by-step explanation:
Let the 1st number be x,
Now,
or, x + x = 92
or, 2x = 92
or, x = 46
Again,
Let the 2nd number be x + 1
And,
x + 1 = 46 + 1 = 47.
Please help me with my math homework
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the picture below is my question please hurry
Answer:
B) 70 °
Step-by-step explanation:
Given that the triangles AOC and BOC are congruent, the triangles OA and OB are likewise congruent and both represent the radius of a circle. Geometry tells us that an angle formed by two radii that are parts of two congruent triangles has the following dimensions:
m ∠ AOB = 2 · x (1)
Where x is the measure of angle BOC, in degrees.
And the measure of the angle AOC is: ( x= 70°)
∠ AOC = 70°
need the answer please help
Answer:
the 2nd option
Step-by-step explanation:
given a quadratic in standard form : y = ax² + bx + c (a ≠ 0 )
• if a > 0 then minimum turning point
• if a < 0 then maximum turning point
the graph here has a minimum turning point , so
the function has a positive leading coefficient.
the function is symmetrical about the y- axis , so is of even degree
the function has 1 turning point at (0, 2 )
the graph does not cross the x- axis so has 0 x- intercepts
if 9% of 84 students like pizza if 6% like hotdogs and 15% like nachos and 6% like candy how much percentage is left popcorn
Answer:
64%
Step-by-step explanation:
36% like everything else, leaving a 64%
Answer: 64%
Step-by-step explanation:
9 + 6 + 15 + 6 =36
popcorn = 100- 36% = 64%
64/100 × 84/1
Jenny’s grandmother is making a quilt for
her 18th birthday. When she ran out of
material she asked Jenny to go to the
store and pick up more patches.
She only had one square cut in half at the
diagonal, creating 2 equal triangles left.
Each triangle has an area of 0. 18 units.
What is the length of the side of the square?
The side of the square that is twice the area of one triangle (0.18 units²) is: 0.6 unit.
What is the Area of a Square?Area of a square = s², where s is the side length of the square.
1 square = 2(areas of triangles)
1 square = 2(0.18)
1 square = 0.36 units²
s² = 0.36
s = √0.36
s = 0.6 unit.
Length of the side of the square = 0.6 unit.
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7 Anton has some money saved for school. To increase the amount he has
saved, he got a job and added all the money earned to the amount already
saved.
I
• Anton was paid a constant rate in dollars per hour at his job.
• After working 10 hours, the amount he had saved was $450.
• After working 20 hours, the amount he had saved was $600.
Anton did not save any other money or spend any of the money he
had saved.
Which equation represents y, the amount of money in dollars Anton would
have saved after working x hours?
Select one answer.
Section 4
A y = 10x + 150
B y = 15x + 100
C y = 15x + 300
The linear function that represents the amount of money in dollars Anton would have saved is given by:
C y = 15x + 300
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Taking the amounts from 10 and 20 hours, it is found that in 10 hours he saves $150, hence the slope is given by:
m = 150/10 = 15.
Considering that after working 10 hours, the amount he had saved was $450, and he saves $150 in 10 hours, his initial amount was given by:
b = 450 - 150 = 300.
Thus, the equation is given by:
y = 15x + 300.
Which means that option C is correct.
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