Answers
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]
=============================================================
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.
-------------
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.Related Questions
he roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone.
What is the slant height of the roof?
Answers
==========================================================
Explanation:
The base of the cone is 24 m across. This is the diameter of the circle. Divide it in half to get 24/2 = 12 m as the radius.
We can form a right triangle inside the cone such that the horizontal piece is the radius 12 m and the vertical piece is the height 16 m. The hypotenuse of this right triangle is the slant height. This is all mentioned in the instructions of course.
We'll use the pythagorean theorem to find the hypotenuse.
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{ a^2 + b^2 }\\\\c = \sqrt{ 12^2 + 16^2 }\\\\c = \sqrt{ 144 + 256 }\\\\c = \sqrt{ 400 }\\\\c = 20 \text{ meters is the slant height}\\\\[/tex]
It is the distance from the circular base to the peak of the cone, when traveling along the outside of the cone. This is a straight line distance.
A glass container holds 40 fluid ounces of tea. How many pints of tea does the glass container hold?
Answers
Answer:
2.5
Step-by-step explanation:
40 divided by 16 is 2.5
Find the measure of angle 4
689
44
68
90
136
Answers
Answer:
90 degrees
Step-by-step explanation:
It is a right angle
HELP ASAP BEING TIMED! If Triangle J K L is congruent to Triangle B C A, which statement must be true?
A)Segment J K is congruent to Segment A B
B)Segment J K is congruent to Segment K L
C)Segment J L is congruent to Segment B A
D)Segment J L is congruent to Segment B C
Answers
Answer:
Choice C
Step-by-step explanation:
This is like a matching question. Here's what I mean by this. We know Triangle BCA and Triange JKL are congruent. So, what we have to do is match the side lengths together.
So the first side of BCA matches with JKL, the second side of BCA matches with JKL, the third side of BCA matches with JKL.
So first side:
BC is congruent to JK
So second side:
CA is congruent to KL
So third side:
JL is congruent to BA
The third side is one of our answer choices.
That answer choice is C.
Answer:
c
Step-by-step explanation:
The original blueprint for the Morenos living
room has a scale of 2 inches
5 feet, The family
wants TO use a new blueprint that shows the
length of the living room to be 15 inches. If
the width of the living room on the original
blueprint is 6 inches and the length is 9.6 inches,
what are the scale and the width of the new
blueprint?
Answers
Answer:
new width=9.375 in
new scale= 1 foot= 0.4 inches
Step-by-step explanation:
Firstly to find the width we can set up a proportion:
[tex]\frac{x}{15}[/tex] =[tex]\frac{6}{9.6}[/tex], after solving for x, x= 9.375, which gives us our width.
To find the new scale, we knew that the old scale was 2 in=5 feet, or 1 in=2.5 feet, so to find the new one we can also set a new proportion,
[tex]\frac{1}{2.5} = \frac{15}{x}[/tex]
After solving you will get x= 37.5, so 15 inches= 37.5 feet, but to simplify we can divide,
15/37.5= 0.4
I tried my best loooool
Maya has warm 120 caramel apples to sell each caramel Apple is covered with
one topping how many caramel apples are covered with sprinkles
Answers
Answer:
The total number of caramel apples are covered with sprinkles is 20 and this can be determined by using the arithmetic operations.
Step-by-step explanation:
Given :
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.
1/5 of the caramel apples are covered with peanuts.
1/3 of the caramel apples are covered with chocolate chips.
3/10 of the caramel apples are covered with coconut. The rest are covered with sprinkles.
The following steps can be used in order to determine the total number of caramel apples are covered with sprinkles:
Step 1 - The arithmetic operations can be used in order to determine the total number of caramel apples are covered with sprinkles.
Step 2 - Let 'n' be the number of caramel apples are covered with sprinkles.
Step 3 - So, the value of 'n' is calculated as:
Step 4 - Simplify the above equation.
120 = 24 + 40 + 36 + n
n = 20
For more information, refer to the link given below:
brainly.com/question/2564656
Answer:
There are 20 caramel apples that are covered with sprinkles.
Step-by-step explanation:
First we should make all of these have a common denominator. We could make these be 1/5 = 6/30, 1/3 = 10/30, 3/10 = 9/30. Now we can add them all up. 6 + 10 + 9 = 25/30. Now, to figure out how many apples is 1/30. 120 divided by 30 = 4. Now we can do 4x25 because that's how many non sprinkle apples there are. This is 100. 120 - 100 = 20. You could have also done 4x5 because there were 5/30 sprinkle apples, and gotten the same answer.
so, there are 20 caramel apples that are covered with sprinkles.
{hope I helped you.]
hey guys, i need help with this ill give you brainlist :)
Answers
Answer: C. 2 3/4 yards.
Hope this helps! :)
Please mark me brainliest.
Answer:
2 3/4
Step-by-step explanation:
Longest - shortest =
4 1/2 - 1 3/4 = 2 3/4
Find two numbers whose product is 3 and the sum of whose reciprocals is 76/15
Answers
Answer:
xy=3_equation I
x+y=76/15 eq 2
Step-by-step explanation:
from eq
x=3/y
now put x=3/y in eq 2
3/y+y=76/15
(3+y^2) 15=76y
45+15y^2=76y
15y^2-76y+45=0
by using quardic equation
x=76+_root under 76^2-4×15×45/2×15
y= 5776+- 53.62/2×15
taking positive sign and taking negative sign
y=194.32
y=190.745
Kate and Patty are both saving money to go to a Red
Sox game. Patty has $60 already and decides to put
$10 per week into her savings, while Kate doesn't have
any money to start, but commits to saving $25 every
week.
After 6 weeks, who will have more money saved?
EXPLAIN HOW YOU KNOW.
Answers
Answer:
kate will have more money
Step-by-step explanation:
cuz Kate have 25$ × 6 weeks = 150$
in the other hand , Patty have 60$ before + ( 10$ × 6 weeks ) = 60$+ 60$ = 120$
Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. he must determine the surface area of the tank so that he knows how much paint to purchase. what is the surface area of the tank? use 3.14 for π, and round your answer to the nearest whole number. refer to your staar 8th grade math reference sheet for the appropriate formula. question 9 options: 1413 ft2 5655 ft2 6855 ft2 7069 ft2
Answers
The surface area of the cylindrical tank on which the Michael is painting is 7065 ft².
What is surface area of cylinder?Surface area of cylinder is the area of each faces by which it is enclosed. The surface area of cylinder can be calculated with the following formula;
[tex]A=2\pi rh+2\pi r^2[/tex]
Here, (h) is the height of the cylinder and (r) is the radius.
Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. He must determine the surface area of the tank so that he knows how much paint to purchase.
Put the values in the above formula,
[tex]A=2(3.14) (15)(60)+2(3.14)(15)^2\\A=7065\rm\; ft^2[/tex]
Thus, the surface area of the cylindrical tank on which the Michael is painting is 7065 ft².
Learn more about the surface area of cylinder here:
https://brainly.com/question/20771646
if i gain 50 coins per 52.2 seconds how long would it take to reach 400,500 coins
Answers
Answer:
418122 seconds
Step-by-step explanation:
First divide 400,500 by 50. That is 8010.
Then multiple 8010 by 52.2 and you answer is 418122 seconds. OR
6968.7 Minutes, OR 116.145 Hours, OR 4.839375 Days
Max has a square piece of cloth. He cuts it in half from one corner to the opposite corner. How many sides does each of the cut pieces have?
Answers
Answer:
Step-by-step explanation:
You have a cloth:
____________
| |
| |
|___________|
and you cut it in half.
There are three sides
Answer:
Step-by-step explanation:
The cut pieces will each have three sides: two that are equal and one that is the hypotenuse.
If the original square had sides of length s, then the cut pieces would each have two of that length: s and s; the third side would have length h = √(s² + s²), or h = s√2.
I don't get this one?
Answers
Answer:
4000
Step-by-step explanation:
V=4/3(3)(10)^3
V= 4/3 (3)(1000)
V=4/3 (3000)
V=4000
An inequality is shown.
2x + 5 ≥ 15
Which model represents the first step in solving this inequality?
A
+1
+1 +1
+1 +1
AA
+1
+1 +1 +1 +1
+1
+1 +1
B
+1 +1
+1
+1 +1
+1 +1 +1 +1 +1
AA
+1 +1
+1
+1
+1
+1
+1
+1 +1 +1
XXA
+1 +1
+1
+1
D
+1 +1 +1
AV
+1 +1
+1
+1 +1
+1 +1 +1
Answers
Answer:
Option A
Step-by-step explanation:
Step 1: Solve the equation
[tex]2x + 5 \geq 15[/tex]
[tex]2x + 5 - 5 \geq 15 - 5[/tex]
[tex]2x \geq 10[/tex]
[tex]2x / 2 \geq 10/2[/tex]
[tex]x \geq 5[/tex]
Step 2: What model represents the equation
Seems like option A represents the best because it showcases 2 x's and 5 +1's on the left side which is then greater or equal to the right side with 10 +1's.
Answer: Option A
First, subtract 5 on both sides
2x≥15-5
2x≥10
Now divide by 2 on both sides
x≥5
The correct option is Option Ahope helpful ~
X^2 =11+2 sqrt30 find value of X
Answers
Answer:
If the question goes like this : x²=11+2
then the value of x will be √13
Step-by-step explanation:
x²=11+2
x²=13
x=√13 ans…
what are the guidlines
Answers
Answer:
A guideline is a statement by which to determine a course of action. A guideline aims to streamline particular processes according to a set routine or sound practice.
simplify l(m-n) + m (n-l) + n (m-l)
Answers
Step-by-step explanation:
Multiplying :-l(m-n) + m (n-l) + n (m-l)lm - ln + mn - ml + nm - nlSolve the like terms :-lm - ml - ln - nl + mn + nm2mn - 2nlTake common :-2n(m - l)...simplified Hope it helps you !!Answer:
-2ln + 2mn
Step-by-step explanation:
Simplify l(m-n) + m(n-l) + n(m-l)
Step 1 : Distribute and multiply
l(m-n) + m(n-l) + n(m-l)
l(m) + l(-n) + m(n) + m(-l) + n(m) + n(-l)
lm - ln + mn - lm + mn - ln
Step 2: Combine like terms
lm - ln + mn - lm + mn - ln
lm - lm - ln - ln + mn + mn
0 -2ln + 2mn
Solution:
-2ln + 2mn
Hope this helps!
Write the phrase as an expression.
18 added to a number n
Answers
Answer:
n + 18
Step-by-step explanation:
n + 18
Ex: 7 added to 3 = 3 + 7 = 10
Hope this helps!
In 1932, the average house in the united states cost $3,900. today, the average cost of a house is $350,000. what is the percent of change in the average price of a house in the united states (round to the nearest whole percentage)?
Answers
Answer:
8,874%
Step-by-step explanation:
Find percent of change by finding the differnce between the original price and new price. You can then use a proportion "change/original = percent/100"
AABC is equilateral.
AB = 22x-33 and AC = 7x + 57.
=
B
A
A
с
x = [?]
Answers
Answer:
Answer is 6
Step-by-step explanation:
See it is equilateral so AB=AC=BC
Now we are given values of AB and AC, but they are equal so,
22x-33 = 7x+5722x-7x = 57+3315x = 90x= 15 / 90x=6Hope it helps
BYE
I need help with this
Conclusion
And discussion
It’s a science assignments
Answers
Answer:
Step-by-step explanation:
more hcl = less time.
error in table drawing or values not precise. more explanation needed in pic.
yes. more hcl = less time.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answers:
Mode = 6
Range = 7
====================================================
Explanation:
The mode is the most frequent value. Based on that, we simply go for the tallest stack of 'x's which in this case is 6.
Therefore, 6 is the mode. It shows up four times which is the most of any other value.
-------
The range is the difference of the min and max
range = max - min = 8 - 1 = 7
Use the scale factor 1:8 to find the missing dimension.
Item = baby giraffe
model = height = cm
actual = height = 1.84m
Answers
Answer:
0.23 m or 23 cmStep-by-step explanation:
Accordingto the scale factor, the model is 8 times smaller than actual figure.
Its height is:
1.84 m * 1/8 = 0.23 m or 23 cmSo
Actual=1.84mModel:-
1.84/80.23mHI can somebody outline it pls and tyy
Answers
Answer:
Step-by-step explanation:
*View the attached file*
Hope this helps!
I just am confused what to do on 11-16 and if able to can’t 1-9 be checked
Answers
Answer:
add all the sides that you have and subtract it from 180
Step-by-step explanation:
Five candy bars cost $6.57. The cost of each candy bar is the same. What is the cost of each candy bar rounded to the nearest cent
Answers
total price : amount = individual price
6.57:5=1.31
Please help!!! i'll give brainliest and offering 20 pts each!!!
write each trinomial in the form a(x+b)^2 or a(x-b)^2
please answer all questions correctly! please no spam :-(
5x^2 + 15x + 11.25
10x^2 +20x +10
1/4x^2 + x + 1
3x^2 + 5x + 25/12
explanation isn't necessary, but i will give brainliest to the person with an explanation/best explanation
Answers
Answer:
5(x +1.5)^210(x +1)^21/4(x +2)^23(x +5/6)^2Step-by-step explanation:
When your desired form is expanded, it becomes ...
a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2
This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.
a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2
b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2
c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2
d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2
_____
Additional comment
If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.
If the diameter is 11, then what's the radius?
Answers
EXPLANATION: The radius of a circle is the distance from the center of the circle to any point on the circumference.
The easiest way to find the radius is by dividing the diameter in half
1/2 x 11 = 11/2 OR 5.5
ANSWER: the radius of the circle 11 cm in diameter would be 5.5 cm.
Martín quiere poner una manguera color neón alrededor del helado que está afuera de su nevería para llamar la atención de sus clientes. Considerando las dimensiones del helado como se muestra en la figura, ¿Cuál es la longitud en centímetros de manguera que se requiere para rodear el helado? *
area 80 cm
longuitud 89. 44cm
215. 04 cm
295. 04 cm
304. 48 cm
384. 48 cm
Answers
La manguera que necesita Martín para rodear el helado es de 304,48m
Cómo calcular la longitud de la manguera que necesita Martín?Para calcular la longitud de la manguera que necesita Martín para rodear el helado es necesario aplicar la siguiente fórmula matemática:
Longitud de la manguera = π × r + 2 × LLongitud de la manguera = 3,14 × 40 + 2 × 89,44 Longitud de la manguera = 125,6 + 178,88Longitud de la manguera = 304, 48 mDe acuerdo a lo anterior, la longitud de la manguera que necesita Martín es de 304,48m.
Aprenda más sobre longitud en: https://brainly.com/question/25986613
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124 7/8 drained in 25 mins how much is drained each min
Answers
Convert 124 7/8 to 999/8
In 25 minutes, 999/8 is drained -> every minute, 999/200 is drained (4.995)