Answer:
A. about 3.4 secondsStep-by-step explanation:
Given the volume of air in liters in the human lungs described by the function V(t) = 0.173t +0.15t^2 - 0.035t^3 where t is the time in seconds,
The beginning of this respiratory cycle for the lungs to fill to their maximum volume of air occurs when dV/dt = 0
dV/dt = 0.173 + 0.3t - 3(0.035)t²
dV/dt = 0.173 + 0.3t - 0.105t²
Since dV/dt = 0
0.173 + 0.3t - 0.105t² = 0
multiply through by -1
-0.173 - 0.3t + 0.105t² = 0
0.105t² -0.3t-0.173 = 0
Factorize;
t = 0.3±√0.3²+4(0.105(0.173))/2(0.105)
t = 0.3±√0.09+0.07266/0.21
t = 0.3±√0.16266/0.21
t = 0.30±0.4033/0.21
t = 0.7033/0.21
t = 3.349secs
t ≈ 3.4secs
Hence it will take about 3.4secs for the lungs to fill to their maximum volume of air
In a multiple choice examination of 20 questions, four marks are given for each correct answers and one mark is deducted for each wrong answer. There is no penalty for not attempting a question. a candidate attempts "a" questions and get "c" correct. Write down, and simplify, an expression for the candidate's total mark in terms of "a" and "c".
Step-by-step explanation:
Total no. of questions = 20
Marks given for a correct answer = 4
Marks deducted for a wrong answer = 1
No. of questions attended by the candidate = a
No. of questions the candidate gets correct = c
No. of questions the candidate gets wrong = a - c
Marks obtained for correct answers = 4c
Marks deducted for wrong answers = 1 (a - c)
Total marks scored by the candidate =
Marks obtained for correct answers - Marks deducted for wrong answers
Total marks scored by the candidate = 4c - 1 (a - c)
= 4c - a + c
= 5c - a
A nursery owner buys 8 panes of glass to fix some damage to his greenhouse. The 8 panes cost $18.80. Unfortunately, breaks 3 more panes while repairing the damage. What is the cost of another 3 panes of glass?
Answer:
Step-by-step explanation:
The cost of another 3 panes of glass would be
Solution:
Given, Number of panes of glass bought = 8
Cost of 8 panes of glass =
Number of broken panes of glass = 3
We have to find the cost of 3 panes of glass
By unitary method, If 8 panes of glass costs , then the cost of one pane of glass will be as follows,
Therefore, for 3 panes of glass it would be
Unitary method:
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value. In essence, this method is used to find the value of a unit from the value of a multiple, and hence the value of a multiple.
A soccer field is 180 feet wide and 240 feet long. Coach Smith wants them to run from one corner to the other corner diagonally across. What is the distance that Coach Smith wants them to run? (Round to the nearest foot)
Answer:
300ft
Step-by-step explanation:
Pythagorean Theorem
180²+240²=c²
32400+57600=c²
90,000=c²
√90,000=c
300=c
you have 3 bottles of lotion each bottle contains 3.78 mL 4.52 mL and 2.72 mL of lotion how much lotion do you have in total.
Answer:
11.02
Step-by-step explanation:
use a calculator? add the 3 numbers up
What is the equation in standard form of the line Y equals 1 / 9 x + 5
Answer:
1/9x - y = -5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define equation
Slope-Intercept Form: y = 1/9x + 5
Step 2: Find Standard Form
Subtract 1/9x on both sides: -1/9x + y = 5Multiply -1 on both sides: 1/9x - y = -5I NEED HELP PLEASE!!!
Darlene wants to buy a sweater that originally cost $56. It is on sale for 40% off. Sales tax is 7.5%. What is the final price of the sweater with tax?
Group of answer choices
$58.80
$36.12
$31.08
$55.68
Answer:
$36.12
Step-by-step explanation:
56*40%=22.40 amount off
56-22.40=33.60 price of sweater
33.60*7.5%=2.52 tax amount
33.60+2.52=36.12 total amount
7x + 4 = 32
What is the justification
Answer:
oook
Step-by-step explanation:
7x+4 = 32
7x= 32-4
7x = 28
7×x= 28
x= 28÷7
x= 4
hope it is helpful for you ❤️
i am indian please mark me as brainliest
Loan widuLIUSLIU Alldly ICS Recommendations Math NY Standards Seventh grade J.5 Unit rates 2NB You have prizes Elijah wrote a total of 12 pages over 4 hours. After spending 5 hours writing this week, how many pages will Elijah have written in total? Solve using unit rates. pages Submit
Answer:
15
Step-by-step explanation:
Investors buy a studio apartment for $240,000. Of this amount, they have a down payment of $60,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $12,000 down payment be?
Answer:
A) 4%
B) 20%
Step-by-step explanation:
As, A) we will take 60,000/240000 x 100% so that we can find the percentage.
So the answer = 4%
B) for $12,000, 12, 000/240000 x 100%
Answer = 20%
A) The percentage is 4%
B) The percentage is 20%
Given that,
Investors buy a studio apartment for $240,000. Of this amount, they have a down payment of $60,000.calculation:(a)
[tex]= 60,000\div 240000[/tex]
= 4%
(b)
[tex]= 12, 000\div 240000[/tex]
= 20%
Learn more about the price here: https://brainly.com/question/25300841?referrer=searchResults
A savings bond currently made Jamar $2,112.64 worth of interest in 7 years. If the investment gained 5.5% annual simple interest each year, approximately how much was the bond originally bought for?
A.$1381.81
B.$2673.21
c.$4903.23
D.$5487.36
Answer:
D; it was bought for $5,487.36
Step-by-step explanation:
Let the investment amount be $x
We use the formula for simple interest to get the interest
(2112.64-x) = (x * 5.5 * 7)/100
211264-100x = 38.5x
138.5x = 211264
x = 211264/138.5
x = 5,847.36
The price of pears can be determined by the equation P=0.54n, where P is the price and n is the number of pears. What is the constant of proportionality (unit rate)?
PLEASE NEED THIS ASAP!!!!!!!!!!
Answer:
The constant of proportionality is 0.54
Step-by-step explanation:
Given:
P = 0.54n
Where,
P = price of pears
n = number of pears
What is the constant of proportionality (unit rate)?
The constant of proportionality is 0.54
This means a unit of pears cost $0.54
If the number of pears bought, n = 50
Then,
P = 0.54n
When n = 50
P = 0.54(50)
= 27
P = 27 when n = 50
The correct answer is:
The constant of proportionality is 0.54
At a grocery store, the price of 3 cans of soup is $6.90. at this rate, how much would 10 cans of soup cost
Answer:
$23
Step-by-step explanation:
At a grocery store 3 cans of soup cost $6.90
3 cans = 6.90
1 can= 6.90/3
1 can = $2.3
Therefore the cost of 10 cans can be calculated as follows
1 can= $2.3
10 cans= 10×2.3
= $23
Hence 10 cans will cost $23
Eighth grade F.15 Square roots of perfect squares
What is 49 ?
Answer:
7
Step-by-step explanation:
because 7x7= 49
hopefully you got it right
Answer:
7
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y=64
Step-by-step explanation:
3y /4 =48
( 3y 4 )*(4)=(48)*(4)
3y=192y
3y/3=192/3 =y=64
4.(03.02)
If g(x) = 3(x - 2), find the value of x if g(x) = 6. (2 points)
12
hy 2.6
Answer:
The value of x = 4 if g(x) = 6
Step-by-step explanation:
Given the function
[tex]g(x) = 3(x - 2)[/tex]
as
[tex]g(x) = 6[/tex]
so putting the value of [tex]g(x) = 6[/tex] in the function
[tex]g(x) = 3(x - 2)[/tex]
[tex]6 = 3(x-2)[/tex]
Switch sides and divide both sides by 3
[tex]\frac{3\left(x-2\right)}{3}=\frac{6}{3}[/tex]
[tex]x-2=2[/tex]
[tex]x=4[/tex]
Therefore, the value of x = 4 if g(x) = 6
Please help me with this question! :)
Answer:
2
Step-by-step explanation:
figure 1 had 6
figure 2 had 10
figure 3 had 14
so 6-4=2
Helen spent $7.75 to purchase 23 snack-sized bags of chips c and pretzels p for a club meeting. The following system represents this solution.
{c+p=23
{0.25c+0.5p=7.75
How many of each type of snack did Helen buy?
Answer:
pretzels = 8
chips = 15
Step-by-step explanation:
{ c + p = 23
{ 1/4c + 1/2p = 7.75
Both sides * 4
c + 2p = 31
- c + p = 23
p = 31 - 23 = 8
pretzels = 8
chips = 15
What is the value of y?
39
34
16
20
one of those number is the answer
Answer:
20
Step-by-step explanation:
we see here that angle RPN is 180 degrees. SPM is 90 degrees so
angle RPS + angle SPM + angle MPN = 180 degrees
(4y - 10) + 90 + y = 180
(4y - 10) + y = 90
5y - 10 = 90
5y = 100
y = 20
Which of the following equations represents the graph shown?
A.)f( x) = - x - 2
B.)f( x) = x + 2
C.)f( x) = - x + 2
Answer:
C
Step-by-step explanation:
Looking at the graph, we can see that the graph crosses the y-axis at y=2.
Hence, our y-intercept should be 2.
Therefore, we can eliminate A.
We also notice that the graph is downwards sloping.
Therefore, our slope is negative.
So, we can eliminate B.
Therefore, our answer must be C.
Answer:
C
Step-by-step explanation:
I have the same question and my answer was right
50 points and brainliest help pls
Answer:
Large bucket
Step-by-step explanation:
Sugar water isnt a real life factor in dye. It just makes it sweeter.
But, since it has triple the dye, it has more and therefore darker.
Hope this helps plz hit the crown ;D
Compare ratios and rates by finding equivalent ratios and rates with a common (select) . Make predictions by finding a common factor and multiplying by it.
Answer:
Second termCommon factorStep-by-step explanation:
Compare ratios and rates by finding equivalent ratios and rates with a common second term . Make predictions by finding a common factor and multiplying by it.
To compare ratios and rates favorably we need to find a common second term also to make predictions as well we need to find a common factor
What is the solution to the system of linear equations graphed below? On a coordinate plane, 2 lines intersect at (3.5, negative 4). (3 and one-half, negative 4) (Negative 4, 3 and one-half) (0, 3) (0, negative 4)
Answer:
Step-by-step explanation:
the answer is C just did the quiz
Answer:
its D i got it right on edge if there are any probs just tell me and i ll edit mark me brainleiest and hart and five stars please
Step-by-step explanation:
What is the value of x? Enter your answer in the box. x =
Z=24 Y=5 degrees X=?
Answer:
t⅝ a femal for the rest and I have no
PLEASE HELP!! THANKS!!
Solve for w:
(w-4/9)(-2/3)= -4/5
what is 54.873015873 rounded to the nearest hundereth please help
Answer:
54.87
Step-by-step explanation:
The expression 36 ÷ 6 · 2 + 1 is equal to _____.
Step-by-step explanation:
13 is the answer is the you
Answer:
13
Step-by-step explanation:
The expression 36 ÷ 6 · 2 + 1 is equal to 13!
|2x-8| + 3 = 5 two solutions
Answer:
The two solutions are 5 and 3
Step-by-step explanation:
The equation of the absolute has two solutions because IxI = a means x = a and x = -a
Let us solve the question using this fact
∵ I2x - 8I + 3 = 5
→ Subtract 3 from both sides
∴ I2x - 8I + 3 - 5 = 5 - 3
∴ I2x - 8I = 2
By using the fact above
→ 1st solution
∵ 2x - 8 = 2
→ Add 8 to both sides
∴ 2x - 8 + 8 = 2 + 8
∴ 2x = 10
→ Divide both sides by 2 to find x
∴ x = 5
→ 2nd solution
∵ 2x - 8 = -2
→ Add 8 to both sides
∴ 2x - 8 + 8 = -2 + 8
∴ 2x = 6
→ Divide both sides by 2 to find x
∴ x = 3
∴ The two solutions are 5 and 3
What is the value of the function at x = -2?
(a) y=-4
(b) y=0
(c) y=2
(d) y=3
Answer:
(d) y=3
Step-by-step explanation:
To find this, look on the plane where x=-2 and find where the line itersects. It intersects at 3, so the correct answer is y=3.
what is the slope of the line that passes through the points (5 -11) and (-9 17)
Answer:
A. -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, -11)
Point (-9, 17)
Step 2: Find slope m
Substitute: [tex]m=\frac{17+11}{-9-5}[/tex]Add/Subtract: [tex]m=\frac{28}{-14}[/tex]Divide: [tex]m=-2[/tex]