#1: In Picture!

#2: Explain Aaron's mistake using 1-3 complete sentences.

Please answer both :)

#1: In Picture!#2: Explain Aaron's Mistake Using 1-3 Complete Sentences.Please Answer Both :)

Answers

Answer 1

Answer:

1.45 in/h see below

Step-by-step explanation:

1. The appropriate "dimensional analysis" is ...

[tex]\dfrac{2.9\,ft}{1\,day}\cdot\dfrac{12\,in}{1\,ft}\cdot\dfrac{1\,day}{24\,h}=\dfrac{2.9\cdot 12\cdot 1\,day\cdot ft\cdot in}{1\cdot 1\cdot 24\,day\cdot ft\cdot h}=1.45\dfrac{in}{h}[/tex]

__

2. Aaron used the inverse of the correct days to hours conversion factor. The units he ends up with are in·h/day², not in/h. And the calculation he did does not match the expression he wrote.


Related Questions

How do you round 949,999 to the nearest ten thousand

Answers

Answer:

950,000

Take the placement before the placement you need to round and round.

Anything that is over 5 is more but anything that is 4 and under makes the number smaller so... your answer is 950,000

Classify the following Triangle

Answers

Answer:

equilateral triangle

Step-by-step explanation:

all sides are equal

Hey!

--------------------------------------

Answers:

Equilateral

Acute

--------------------------------------

Explanation:

The lines on each side show that all the sides are the same length. Acute angles are angles that are less than 90 degrees. Each angle is less than 90 degrees.

--------------------------------------

Hope This Helped! Good Luck!

U(-3,6), V(-8, 1), W(-3,1)
180° rotation about the origin

Answers

Answer:

U'(3, -6), V'(8, -1), W'(3, -1)

Step-by-step explanation:

According to the 180°-rotation rule, you take the OPPOSITE of both the y-coordinate and x-coordinate:

Extended Rotation Rules

270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)

270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)

180°-rotation >> (x, y) → (-x, -y)

I am joyous to assist you anytime.

I need help on this question

Answers

Good luck I’m actually looking for answers just like this

only the circled ones please!!!!! Due today!!!!!! Will give brainliest and 5stars!!!

Answers

Answer:

[tex]\boxed{18. \, -3 \leq x \leq \dfrac{16}{9};\quad 22. \text{ $x \leq -19$ or $x \geq -5$}}[/tex]

Step-by-step explanation:

Q18

[tex]\left |\dfrac{3x - 5}{2} \right | \leq 7[/tex]

Multiply each side by 2

[tex]|3x - 5| \leq 14[/tex]

Apply the absolute rule:

If |x| ≤ a, then -a ≤ x ≤ a

This gives

-14 ≤ 3x - 5 ≤ 14

Separate into two inequalities

[tex]\begin{array}{cc}-14 \leq 3x - 5 & 3x - 5 \leq 14 \\-9 \leq 3x & 3x\leq 19 \\-3 \leq x & x \leq \dfrac{19}{3} \\\end{array}[/tex]

Merge the overlapping intervals

[tex]\boxed{\mathbf{-3 \leq x \leq \dfrac{16}{9}}}[/tex]

Q22

-5|x + 12| ≤ -35

Divide each side by -5

This reverses the sign of the inequality.

|x + 12| ≥ 7

Apply the absolute rule

If |x| ≥ a, then -a ≥ x or x ≥ a

-7 ≥ x + 12 or x + 12 ≥ 7

Separate into two inequalities

[tex]\begin{array}{cc}-7 \geq x + 12 & x + 12 \geq 7 \\-19 \geq x & x\geq -5 \\\end{array}[/tex]

Combine the intervals

[tex]\boxed{\textbf{$x \leq -19$ or $x \geq -5$}}[/tex]

Which shape has larger area: a rectangle that is 7 inches by 3/4 inch, or a square with a side length of 2 1/2 inches. Tell your reasoning.

Answers

Area= length multiplied by width

Area of rectangle:
Area=7 x .75
Area= 5.25

Area of square:
Area= 2.5 x 2.5
Area=6.25

The square has a larger area because when you multiply the length and width of both shapes the square has a larger sum

The square with a side length of  [tex]2\frac{1}{2}[/tex] inches has a larger area of 6.25 square inches, compared to the area of the rectangle which is 5.25 square inches.

To determine which shape has a larger area, let's calculate the area of both the rectangle and the square. The rectangle measures 7 inches by 3/4 inch, so its area is calculated by multiplying these dimensions:

Area of the rectangle = length ×width = 7 inches × [tex]\frac{3}{4}[/tex] inch = [tex]\frac{21}{4}[/tex] square inches or 5.25 square inches.

The square has a side length of [tex]2\frac{1}{2}[/tex] inches, which is equivalent to 2.5 inches. Hence, the area of the square is:

Area of the square = side ×side = 2.5 inches × 2.5 inches = 6.25 square inches.

Comparing the two, we can see that the square with a side length of [tex]2\frac{1}{2}[/tex] inches has a larger area of 6.25 square inches compared to the rectangle's area of 5.25 square inches.

What is the value of 42 – 2(3 • 5 + 1)?

Answers

[tex]4^{2}[/tex] – 2(3 • 5 + 1) = -16

The 2 is a superscript which was the first person's mistake

It takes 300 gallons of water to produce one pound of
synthetic rubber. How many gallons of water does it
take to produce 8 pounds of synthetic rubber?

Answers

Answer: 2400

Step-by-step explanation:

for every pound there is 300 gallons, so

300 x 8 = 2400

Hope this helps!

solve the following math problems, round appropriately according to sig. fig. rules. 84.9 • 64

Answers

Answer:

84.9*64=5433.6

3900/2.6=1500

1080/15.9=67.9245283019

2.86*8.77*200=5016.44

1500/64=23.4375

6007/5.5=1092.1818....

Step-by-step explanation:

Question 2
6.5 p
The normal dosage for azinthromycin, an antibiotic, is 3.3 mg/kg. What
is the proper dose for a 150.1 lb patient? (Given: 1kg = 2.2 lbs.)
1089 mg
225.2 mg
20.67 mg
495.1 mg​

Answers

Answer:   b) 225.2 mg

Step-by-step explanation:

Convert 1 kg to 2.2 lbs.

[tex]\dfrac{3.3\ mg}{1\ kg}\times \dfrac{1\ kg}{2.2\ lbs}\times 150.1\ lbs\quad =\dfrac{3.3(150.1)\ mg}{2.2}\quad =\dfrac{495.33\ mg}{2.2}\\\\\\=\large\boxed{225.15\ mg}[/tex]

Solving equations-variables on both sides!

Answers

Simplifying

64 + -12w = 6w

Solving

64 + -12w = 6w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-6w' to each side of the equation.

64 + -12w + -6w = 6w + -6w

Combine like terms: -12w + -6w = -18w

64 + -18w = 6w + -6w

Combine like terms: 6w + -6w = 0

64 + -18w = 0

Add '-64' to each side of the equation.

64 + -64 + -18w = 0 + -64

Combine like terms: 64 + -64 = 0

0 + -18w = 0 + -64

-18w = 0 + -64

Combine like terms: 0 + -64 = -64

-18w = -64

Divide each side by '-18'.

w = 3.555555556

Simplifying

w = 3.555555556

What is the coefficient of each monomial?
a. 5pk
b. f
c. –9t
d. –j

Answers

a.) 5
b.) 1
c.) -9
d.) -1

Remember: LEADING coefficient. Meaning the number in the very front. for b, there’s an invisible 1. The leading coefficient of b is 1. Just a little tip

Step-by-step explanation:

Look at the picture

a. 5pk → 5

b. f = 1f → 1

c. -9t → -9

d. -j = -1j → -1

10 yellow eggs out of 12 colored eggs ratios

Answers

10:12 is the ratio of 10 yellow eggs out of 12 colored eggs

Final answer:

The question asks for the ratio of yellow eggs to colored eggs, which is 10 yellow eggs to 12 colored eggs. Simplifying the ratio, we get 5:6. This concept of ratios is also seen in Mendel's genetic experiments with plants, where traits are passed in specific ratios like 3:1.

Explanation:

In mathematical terms, a student's question regarding the ratio of yellow eggs to the total number of colored eggs can be answered using simple division to derive a fraction or ratio. Given that there are 10 yellow eggs out of 12 colored eggs, the ratio can be expressed as 10:12.

However, ratios should be simplified to their smallest form to be more understandable; therefore, this ratio simplifies to 5:6 since both numbers can be divided by 2.

When looking at historical experiments, such as the ones conducted by Mendel, we find that phenotypic ratios play a significant role in understanding genetics. Mendel observed that traits could manifest in a specific ratio, like a 3:1 ratio for dominant to recessive traits. The ratios observed in the experiments provided can serve as examples to understand how ratios represent the occurrence of certain outcomes over others.

In this case, the ratio of yellow to green seeds in Mendel's experiment can serve as an analogy to understand the ratio of yellow eggs: both ratios quantitatively describe the presence of a certain characteristic compared to another.

is 0.27227222722227 a rational or irrational number?

Answers

Irrational cause the numbers don’t repeat they might have the same numbers

Answer:

irrational

Step-by-step explanation:

8a+ 5 - 10a -11 simplify by combining like terms

Answers

Answer:

8a + 5 - 10a - 11 simplified equals -2a - 6

Step-by-step explanation:

1st group like terms: 8a - 10a + 5 - 11

2nd add similar elements: 8a - 10a = -2a,

-2a + 5 - 11

3rd add/subtract the numbers: 5 - 11 = -6

-2a - 6

I am joyous to assist :)

Solve the word problem below.
Jane took out $135 from her checking account. If Jane now has a balance of $650 in her account, how much did Jane have in the account before she took out any money?

($785.00)

Step 1: If x represents the variable in the word problem above, explain what the variable should
represent.​

Answers

X= money Jane had initially

650=x-135
x=785

Answer: Jane initially had $785 dollars in her account

Answer:

x represents Jane's initial amount of money in her bank account.

Step-by-step explanation:

x - 135 = 650

650 + 135 = x

x = 785

Allie has a coupon for $0.85 off two tubes of toothpaste. Each tube of toothpaste costs $1.39. What is the price after Allie uses the coupon?
$2.78
$1.39
$1.93
$0.54

Answers

Final answer:

The price after Allie uses the coupon to buy two tubes of toothpaste is $1.93.

Explanation:

To find the price after Allie uses the coupon, you first need to calculate the total cost of two tubes of toothpaste without the coupon and then subtract the coupon value. The total cost of two tubes of toothpaste, which is $1.39 times 2. The result is $2.78.

So now, we need Allie's coupon by subtracting the discount, which is $0.85, from the total cost ($2.78 - $0.85).

Therefore, The final cost, or the price after using the coupon, is $1.93.

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The price of two tubes of toothpaste after Allie uses the coupon is $1.93.

To calculate the price of two tubes of toothpaste after Allie uses the coupon, we can use the following steps:

Calculate the price of two tubes of toothpaste without the coupon.

Subtract the value of the coupon from the price of two tubes of toothpaste without the coupon.

Step 1: Calculate the price of two tubes of toothpaste without the coupon.

The price of one tube of toothpaste is $1.39, so the price of two tubes of toothpaste is:

$1.39/tube * 2 tubes = $2.78

Step 2: Subtract the value of the coupon from the price of two tubes of toothpaste without the coupon.

The value of the coupon is $0.85, so the price of two tubes of toothpaste after Allie uses the coupon is

$2.78 - $0.85 = $1.93

Therefore, the price of two tubes of toothpaste after Allie uses the coupon is $1.93.

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$120
for 5 days of work​

Answers

I think you have to multiply them
Like
120 *5 = 600

In the standard (4) coordinate plane, the coordinates of the midpoint of AB are (6,8) and the coordinates of A are
(3,2). What are the coordinates of B ?

A. (0,-4)
B.(3,6)
C.(9/2,5)
D. (9,14)
E.(-3,-6)

Answers

Final answer:

To find the coordinates of point B, use the midpoint formula and solve the equations.

Explanation:

To find the coordinates of point B, we can use the formula for finding the midpoint of a line segment. The midpoint of AB is given as (6,8), and the coordinates of A are (3,2). Let's call the coordinates of B as (x,y).

According to the midpoint formula, the x-coordinate of the midpoint is the average of the x-coordinates of A and B, and the y-coordinate of the midpoint is the average of the y-coordinates of A and B.

So, we can set up the following equations:

(3+x)/2 = 6 and (2+y)/2 = 8

Solving these equations, we find that x = 9 and y = 14.

Therefore, the coordinates of point B are (9,14).

i need the answers for #8-10

Answers

Answer:

no .8 9 10 are false statement

Step-by-step explanation:

8.angle 3 and angle 5 are not vertical angles because the two lines do not intersect

9 angle 3 and angle 4 are not complementary angle because their non common arms are two opposite rays.

10.angle 1 and angle 2 are not supplementary angles because their non common arms are not two opposite rays.

Final answer:

The answers for #8-10 involve finding the derivative of a function, solving a system of equations, and finding the slope of a line.

Explanation:

For question #8, you need to find the derivative of the given function. This involves using the power rule and the chain rule. For question #9, you are given a system of equations and you need to solve for the values of x and y. This can be done using substitution or elimination. Finally, for question #10, you are asked to find the slope of a line given two points. You can use the formula (y2 - y1) / (x2 - x1) to find the slope.

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Use the quadratic formula to find the solution to the quadratic equation given
below.
x^2 - 5x + 25/4 = 0


HELP A BROTHA OUT

Answers

X= 5/2 is the answer

Answer:

C. [tex]x=\frac{5}{2}[/tex]

Step-by-step explanation:

The quadratic formula is:

[tex]x_{1,2}=\frac{-b\±\sqrt{b^{2}-4ac}}{2a}[/tex]

Where [tex]a[/tex] is the coefficient of the quadratic team. [tex]b[/tex] is the coefficient of the linear term, and [tex]c[/tex] is the independent term.

So, the given equation is:

[tex]x^2 - 5x + \frac{25}{4}  = 0[/tex]

Where:

[tex]a=1\\b=-5\\c=\frac{25}{4}[/tex]

[tex]x_{1,2}=\frac{-(-5)\±\sqrt{(-5)^{2}-4(1)(\frac{25}{4} )}}{2(1)}\\x_{1,2}=\frac{5\±\sqrt{25-25}}{2}\\x_{1,2}=\frac{5\±\sqrt{0}}{2}\\x_{1,2}=\frac{5}{2}[/tex]

This means that the equation has a unique solution.

Therefore, the right answer is C.


Q15:
On Monday, the temperature at 10 a.m. at Sam's house was −6° Fahrenheit. The temperature at 2.p.m at Sam's house 2° Fahrenheit.

Answers

Answer:

if your asking for the difference between the temperatures then it would be

8, but if your asking for the sum it would be -4

Hope i helped :)

Help pls 20 points



A. The relationship between time and distance is not directly proportional.


B. The point (3, 165) means the car traveled 3 miles in 165 minutes.


C. The constant of proportionality represents distance/time.


D. The point (0, 0) represents the beginning of the trip.


E. It takes more time to drive 220 miles than to drive 275 miles.


F. The unit rate is 0 miles per hour.

Answers

Answer:

a) false

b) false

c) true

d) true

e) false

f) false

Step-by-step explanation:

hope this helps :)

The correct answers are C & D. I had this question today on my quiz.

Angles D and F are ______ because they are ______ angles.

Answers

Answer:

corresponding

Step-by-step explanation:

Answer:congruent because they are corresponding angles.

Step-by-step explanation:

PI-3.
FIELD TRIP
In order to take a field trip to the science museum. Ms. Speedi's students sold
scented pencils for $1. In the classroom. Rowena tried to put the $1 bills into a
equal piles and found one left over at the end. When Polly tried putting the bin
in 3 equal piles, she also ended up with one extra bill. Frustrated, they tried 4
5, and 6 equal piles and each time had $1 left over. Finally Rowena put all the
bills evenly into 7 equal piles, and none were left over.
Based on this information, Ms. Speedi is sure there is enough money for the
fieldtrip!
a. What is the least amount of money they could have raised? Show how
know.
b.
It turns out that they raised more than $500. Knowing this, what is the least
amount of money they could have raised?​

Answers

Answer:

A. $301

B. $721

Step-by-step explanation:

Let $x be the amount of money they raised.

Rowena tried to put the $1 bills into two equal piles and found one left over at the end, then

[tex]x=2q_1+1[/tex]

Polly tried to put the $1 bills into three equal piles and found one left over at the end, then

[tex]x=3q_2+1[/tex]

Frustrated, they tried 4, 5, and 6 equal piles and each time had $1 left over, then

[tex]x=4q_3+1\\ \\x=5q_4+1\\ \\x=6q_5+1[/tex]

Finally Rowena put all the bills evenly into 7 equal piles, and none were left over, then

[tex]x=7q_6[/tex]

This means [tex]x-1[/tex] is divisible by 2, 3, 4, 5 and 6 without remainder, so

[tex]x-1=2\cdot 3\cdot 2\cdot 5n=60n[/tex]

Hence,

[tex]x=60n+1, \ n\in N[/tex]

The smallest amount of money they could have raised is $301, because

[tex]x=60\cdot 5+1=301[/tex] is divisible by 7.

Now, the number [tex]x=60n+1[/tex] should be divisible by 7 and must be greater than 500.

So,

[tex]60n+1>500\\ \\60n>499\\ \\n>8[/tex]

When n = 9,

[tex]x=60\cdot 9+1=541[/tex] is not divisible by 7.

When n = 10,

[tex]x=60\cdot 10+1=601[/tex] is not divisible by 7.

When n = 11,

[tex]x=60\cdot 11+1=661[/tex] is not divisible by 7.

When n = 12,

[tex]x=60\cdot 12+1=721[/tex] is divisible by 7.

B. The least amount of money they could have raised is $721

Answer:

A:301 and b: 721

12. Solve the equation y2 = 81.

Answers

Hey!

---------------------------------------------------------

Solution:

y² = 81

To solve just take the square root of 81.

√81 = 9

---------------------------------------------------------

Check:

(9)² = 81

81 = 81

---------------------------------------------------------

Answer:

x = 9

---------------------------------------------------------

Hope This Helped! Good Luck!

A question on an exponents and logarithms sheet that I need help with

Answers

Good evening ,

______

Answer:

x=2ln2.

___________________

Step-by-step explanation:

Look at the photo below for the details.

:)

Given the function f(x) = 2x − 5 and g(x), which function has a greater slope?


x g(x)
2 0
4 5
6 10

1. f(x) has a greater slope.
2. g(x) has a greater slope.
3. The slopes of f(x) and g(x) are the same.
4. The slope of g(x) is undefined.

Answers

It’s 2 sorry if I’m wrong

Answer:  The correct option is

(B)  g(x) has a greater slope.

Step-by-step explanation:  We are given the following two functions :

[tex]f(x)=2x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

and

x                    2                      4                    6

g(x)                0                      5                     10

Comparing equation (i) of f(x) with the slope-intercept form y = mx+c, we get

[tex]\textup{slope, m}=2.[/tex]

Now, we know that if a linear function contains two points (a, b) and (c, d), then its slope is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

Since (2, 0) and (4, 5) are two points on g(x), so its slope will be

[tex]m=\dfrac{5-0}{4-2}=\dfrac{5}{2}=2.5.[/tex]

Therefore, slope of f(x) = 2 and slope of g(x) = 2.5.

Thus, slope of g(x) is greater.

Option (B) is CORRECT.  

Find the vertex of this parabola:
y = -5x2 - 10x - 15
Enter the correct answer.

Answers

Answer:

Vertex of parabola (-1, -10)

Step-by-step explanation:

For a given quadratic y = ax² + bx + c, the vertex (h, k) is found by computing h = –b/2a, and then evaluating y at h to find k. If you've already learned the Quadratic Formula, you may find it easy to memorize the formula for k, since it is related to both the formula for h and the discriminant in the Quadratic Formula: k = (4ac – b2) / 4a.

Danielle needs to walk 3 miles. If she wants to reach her destination in 45
minutes (3/4hour), how fast does she need to walk?

Answers

Answer: She needs to walk 5 miles an hour

There's two numbers 2.5 miles and 0.5 hours, you divide that, and you get the number 5, so that means, 5 miles an hour

She needs to walk at a speed of 4 miles/hour to reach the destination in 45 minutes.

What is Speed?

Speed is the ratio of the total distance covered by an object and the required time to cover that by that object. It is also called Velocity.

[tex]Velocity=\frac{Distance}{Time}[/tex]

Velocity is the measurement which shows an object is how fast.

In this given problem,

The total distance Danielle needs to cover by walking is 3 miles.

She needs to reach the destination in 45 minutes

We know that,

60 minutes = 1 hour

1 minute = [tex]\frac{1}{60}[/tex] hour

45 minutes [tex]=\frac{45}{60}=\frac{3}{4}[/tex] hours

So she has to have the velocity/speed of [tex]=\frac{3}{\frac{3}{4}}=3\times\frac{4}{3}=4[/tex] miles/hour

Hence she needs to walk 4 miles/hour.

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High pitches are usually writtenin the bass clefin the treble clefclose togetherin 3rds The weekly pay for working a job is given by the function P(h) = 15h, where "h" is the number of hours worked. The company restricts workers to a maximum of 40 hours per week. The tax on the pay is given by the function T(P) = 0.18P, where "P" is the weekly pay. What is the BEST description of the domain for the tax function T(P)? A) {0, 1, 2, 3, ..., 40} B) {0, 15, 30, 45, ..., 600} C) {any nonnegative real number 40} D) {any nonnegative real number 600} What is the value of n in the equation negative StartFraction one-half EndFraction left-parenthesis 2 n plus 4 right-parenthesis plus 6 equals negative 9 plus 4 left parenthesis 2 n plus 1 right-parenthesis.(2n + 4) + 6 = 9 + 4(2n + 1)? n = In youre own opinion should the US be taking over and controlling other nations and other peoples for our own self interest? Explain your reasoning. Make it short as possible please Please I need help with 16-17 Refer to the cladogram shown above. The numbers 1 through 5 represent species that exist today. Whats the most recent common ancestor of species 1 and 4? 10 POINTS Find the distance between the points -6.4 and -9.2. Show your work plz so I can understand it more In Mary's first math test she scored 87%. The mean and standard deviation for the class were 71% and 18% respectively. In her second math test, Mary scored 66%. The mean and standard deviation for the class were 53% and 14% respectively. In which test did Mary do better relative to the rest of the class? Explain your reasoning. (Hint: find the z-scores corresponding to her two test scores.) ______________ is a classification system devised by C. J. Thomsen for the sequence of technological periods (Stone, Bronze, and Iron) in Old World prehistory. It established the principle that by classifying artifacts, one could produce chronological ordering. Which scenario is most likely the one shown on the graph?the total amount of money in the cash register, y, containing $50 in change and small bills and x $100 billsthe total number of puzzle pieces, y, in a brand new 50-piece puzzle, and x brand-new 100-piece puzzlesthe total weight of the barbell, y, where the bar weighs 50 pounds and x 100-pound weights are added to itthe total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce Suppose you go shopping for a new futon bed for your room. The model you really like happens to be on sale for $400. It's original price is $700. What percent of the original price will you save if you purchase it? Which of the following is the strongest thesis for an argumentative research paper? how did you solve it and explain and what is the answer Simplify.(6x 5 + 4x2) + (2x - 2) All of the following are correct descriptions of photosynthesis except:A) The Calvin Cycle is endergonic.B) Electrons are supplied to the reaction center via the splitting of water, which yields O2 as a byproductC) Chlorophyll and accessory pigments capture energy from the sun in the form of electrons, which they use to drive the electron transport chains of photosystems I and II.D) ATP and NADPH generated in the light-dependent reactions are used to power CO2 fixation via the Calvin cycle in the light-independent reactions. (Discrete Mathematics) If m and n are nonzero integers, show that (2m+3n)/5mn is a rational number. A 70kh man jumping from a window lands in an elevatedfirerescue net 11.0 m below the window. He momentarily stops whenhehas stretched the net by 1.50 m. Assuming that mechanicalenergyis conserved during this process and the net functions likean idealspring, find the leastic potential energy of the net whenit isstretched by 1.50 m. Find the nth term of this number sequence1, 10, 19, 28, ...Pls help If a paramecium caudatum swims from a hypotonic to isotonic environment, will its contractile vacuole become more active or less? Why? what elements in "the gift of magi" help create the sespense?