HELP PLEASE DON'T UNDERSTAND ​

HELP PLEASE DON'T UNDERSTAND

Answers

Answer 1
For #3 the order on the number line from left to right is -2 1/6, -1.62, -1.26, .21, 3/11, 5/3, 2 2/9, 2.375
For #4
A. Repeats
B. Repeats
C. Terminates
D. Repeats

Related Questions

This so for number 5

Answers

Answer:

219.8

Step-by-step explanation:

just multiply 157 times 1.4 and there you go!!

Since Sammy's stride is 1.4 meters, we simplify this to 1 meter for Estimation purposes. The field is 157 strides long, hence the estimated length of the field using compatible numbers is 157 meters.

To estimate the length of the field using compatible numbers, you first need to understand what each stride of Sammy's represents in standard units of length.

Sammy's stride is 1.4 meters.

We can simplify this to 1 meter for the sake of estimation.

Therefore, each stride Sammy takes is estimated to be roughly 1 meter.

Sammy finds that the field is 157 strides long.

To estimate the field's length in meters using compatible numbers, we simply take the number of strides Sammy counted (157) and replace his stride length with our simplified stride length (1 meter).

So, the estimated length of the field is 157 meters.

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The probable question may be:

5. For science class, Sammy is using the length of his stride to measure the length of a field. He finds that the field is 157 strides long. His stride measures 1.4 meters long. Use compatible numbers to estimate the length of the field.

Explain how to write an equation when given a
description of a mathematical problem or real-world scenario
PLEASE HELP!!!!​

Answers

Answer:

Find key words

Step-by-step explanation:

The first part is to find your key words like each or more than one of that will normally be you variable. Then your numbers follow the variable. If its comparing 2 things more than likely you will need and equal sign.

Hope this helped!

Answer:

Say you are wanting to build a patio in your back yard but you want to know how much space you'll have let over. You need to find the area of your back yard and then see how big your patio is going to be. So you find the area of you patio and substrate it from the area of the back yard.

Step-by-step explanation:

Lemme know if you need more details

Mr. Stoebner has decided to buy MORE halloween costumes. MORE COSTUMES!!! If Mr. Stoebner has 10 costumes already, and his costume collection grows exponentially by 40% each year, what exponential equation would model this scenario.

y=40(10)x

y=10(40x)

y=10(1.4)x

y=10(0.4)x

Answers

Hi there! Hopefully this helps!

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

Answer: y=10(0.4)x.

Explanation: 0.4 is 40% in decimal form.

Can you help me with this question please

Answers

Answer:

516

Step-by-step explanation:

First

34% small and 40% large means that 100 - (34 + 40) = 26% medium

26% of 600 = 0.26 × 600 = 156

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

Second

[tex]\frac{3}{10}[/tex] are small and [tex]\frac{1}{10}[/tex] are large, which means [tex]\frac{6}{10}[/tex] are medium

[tex]\frac{6}{10}[/tex] × 400 = 0.6 × 400 = 240

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

Third

sum the parts of the ratio, 3 + 4 = 7

Divide 210 by 7 to find the value of one part of the ratio

210 ÷ 7 = 30 ← value of 1 part of ratio

Thus medium = 4 × 30 = 120

Total number of medium packets = 156 + 240 + 120 = 516

What is 0.0068 in scientific notation?

Answers

Answer:

6.8 x 10^-3

Step-by-step explanation:

Answer:

6.8 x 10³

Step-by-step explanation:

Three students were asked to find the cube root of 216. Each student’s method is shown below.

Hadley: RootIndex 3 StartRoot 216 EndRoot = 72 because 216 divided by 3 = 72. Florence: RootIndex 3 StartRoot 216 EndRoot = 648 because 216 times 3 = 648. Robi: RootIndex 3 StartRoot 216 EndRoot = 6 because 6 cubed = 6 times 6 times 6 = 216

Which student found the correct cube root of 216?

Answers

Answer:

The awnser is Robi

Step-by-step explanation:

I just took this lesson

Answer: Robi

Step-by-step explanation:

What is the expression in scientific notation? (7 x 10^−12)(4 x 10^5)?

Answers

Answer:2.8 x 10^-6. hope this helps :)

Final answer:

The expression (7 x 10⁻¹²)(4 x 10⁵) in scientific notation is 2.8 x 10⁻⁷.

Explanation:

The expression in scientific notation for the product (7 x 10⁻¹²)(4 x 10⁵) is found by multiplying the coefficients (7 and 4) and then adding the exponents of 10 (as they have the same base). Multiplying the coefficients gives us 28, and adding the exponents of 10 (-12 + 5) gives us -7 as the new exponent.

The final result in scientific notation is 2.8 x 10⁻⁷. Note that 28 is adjusted to 2.8 to maintain the correct form for scientific notation, which is one non-zero digit to the left of the decimal point.

Which statement could be used to describe the functions?
O Both original functions have a domain of (-0,-).
O Both original functions have a domain of [-0, 2).
The domain of f(x) is [2, o), while the domain of g(x) is
(-0, 2]
O The domain of f(x) is (-00, 2], while the domain of g(x)
is [2, 0).

Answers

Answer:

number d im (pretty sure)

Step-by-step explanation:

Evaluate 6h when h=8

Answers

Answer:

The answer is 48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

First, you plug 8 into the equation in place of h.

You can do this because h is equivalent to 8.

6(8)

Now we just multiply 6 and 8

6(8)=48

Coleman graphed the relationship between the number of rotations of his front bike tire and the distance
he traveled past a tree. Negative distance means the tree is in front of Coleman and positive distance
means the tree is behind Coleman

Answers

Answer:

I feel like its either c or d but i'm not sure? I'm sorry for the inconvenience. I really did try.

Step-by-step explanation:

Answer:

the anwser is d none of the above

Step-by-step explanation:

What does the yyy-intercept represent?The yyy-intercept tells us the value of the yyy-variable when the xxx-variable equals 000.Hint #22 / 3In this context, xxx represents the number of tire rotations, and yyy represents the distance past the tree. So the y-intercepty-interceptstart color #ca337c, y, start text, negative, i, n, t, e, r, c, e, p, t, end text, end color #ca337c at (0,−15)(0,−15)left parenthesis, 0, comma, minus, 15, right parenthesis says after 000 tire rotations, Coleman was 151515 meters away from the tree and the tree was in front of him.55101015152020252510102020303040405050-10-10Tire rotationsDistance past the tree (m)(0,−15)(0,−15)The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to thirty with a scale of five and is titled Tire rotations. The vertical axis is from negative twenty to sixty with a scale of five and is titled Distance past the tree in meters. The graph of the line is y equals two point two five x minus fifteen. The point zero, negative fifteen is plotted and labeled.Hint #33 / 3The answerThe yyy-intercept represents the distance Coleman was away the tree when he started traveling.Since that was not an option, the answer is none of the above.

What is the answer to this?

Answers

Answer:

9 meters

Step-by-step explanation:

d(1)=13 d(n)=d(n−1)+17 ​ Find the 4 th term in the sequence.

Answers

Answer:

the 4th term is 64

Step-by-step explanation:

Given

d(1) = 13

d(n) = d( n -1) +17

First

d(2) = d(2-1) + 17

= d(1) + 17

= 13 + 17

= 30

d(3) = d(3-1) +17

= d(2) + 17

= 30 +17

= 47

d(4) = d(4-1) + 17

= d(3) + 17

= 47 +17

=64

Final answer:

To find the 4th term in the sequence defined by d(n)=d(n-1)+17, we can use the formula recursively to compute the subsequent terms. Starting with d(1)=13, we can find d(4) by adding 17 repeatedly.

Explanation:

The sequence is defined by the formula d(n)=d(n-1)+17, with d(1)=13. To find the 4th term in the sequence, we can use the formula recursively. Starting with d(1)=13, we can find d(2) by adding 17 to d(1): d(2)= d(1) + 17 = 13 + 17 = 30. Continuing this pattern, we find d(3) = d(2) + 17 = 30 + 17 = 47. Finally, we find d(4) = d(3) + 17 = 47 + 17 = 64.

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|7m+4| =1 pls pls.

Answers

|7m + 4| = 1

It can equal either 1 or -1, so:

7m + 4 = 1

7m = -3

m = -3/7

7m + 4 = -1

7m = -5

m = -5/7

Which line is a trend line for the data?​

Answers

Answer:

i dont know which line is it you tell me man

Step-by-step explanation:

yes so cool

If the measure of Angle C A E is 95°, what is the measure of Arc C B A?

90°
95°
190°
195°

Answers

Answer: the answer is 190

Step-by-step explanation: I multiplied 95 by two

Answer:

C) 190

Step-by-step explanation:

which answer choice shows the number four hundred sixty -five ten - thousandths in standard from

Answers

Answer:

4.65 x 10^-5

Step-by-step explanation:

.00465

[tex]4.65 x 10^{-5}[/tex]

I completed 2/3 of my project last month and 1/4 of it this week​

Answers

Answer:

You've completed 11/12 of your project

Only 1/12 left to go!

Step-by-step explanation:

2/3 + 1/4 = 11/12

Answer:

Step-by-step explanation:

2/3+1/4=11/12

Transformers the following equation into slope-intercept. I need help ASAP

Answers

Answer:

Look at the attached work for a step by step solution and answer.

Step-by-step explanation:

If this fish tank is filled only halfway, how much water will it hold?
A. 1920 cubic inches
B. 42 cubic inches
C. 5880 cubic inches
D. 969 cubic inches

Answers

Answer:

I believe you typed your final answer choice incorrectly, as it should read 960 which is the correct answer

Step-by-step explanation:

the volume is 1920

1920/2=960

Answer:

960 cubic inches

Step-by-step explanation:

I took the test

express the first quantity as a percentage of the second
a) 35 minute 2 hour
b )650g.3 kg

Answers

Answer:

a) 29%   b) 22%

Step-by-step explanation:

The quantities must be expressed in the same units.

a) compare 35 minutes to 2 hours.  2 hours is 2 x 60 = 120 minutes.

35/120 = .291667 = 29%

b) compare 650 grams to 3 kilograms.  3 kg = 3 x 1000 = 3000 g.

650/3000 = .21667 = 22%

Answer:

see explanation

Step-by-step explanation:

To express as a percentage, first express as a fraction and multiply by 100%

The quantities must be expressed in the same units.

(a)

2 hours = 2 × 60 = 120 minutes, thus

[tex]\frac{35}{120}[/tex] × 100% ≈ 29.2% ( to 1 dec. place )

(b)

3 Kg = 3 × 1000 = 3000 g, thus

[tex]\frac{650}{3000}[/tex] × 100% ≈ 21.7% ( to 1 dec. place )

The human population of Earth was approximately 6 billion in 1998. If the rate of
population growth from then on was 2.3% per year, what would be the best
approximation for the human population (in billions) of Earth in 2020?

Answers

Answer:

  9.89 billion

Step-by-step explanation:

At that rate of growth, the population is multiplied by 1.023 each year. After 22 years, the population would be ...

  6·1.023^22 ≈ 9.89 . . . billion

Answer:

Let the equation for the population (P) growth be given by

P = P0ert, where P0 is the initial population in billioins at time t,

                           t is the number of years since 1987,

                           r is the rate of growth of population/year

In this case P0 = 5 billion and r = 0.02.  Putting these values into the equaation:

P = 5e0.02t

Year 1995 is 8 years after 1987, then the population would be

P = 5e0.02*8 = 5e0.16 ≈ 5.87 billion people

Step-by-step explanation:

Quadrilateral DUCK is inscribed in circle O what is the measure of

Answers

Answer:

95°

Step-by-step explanation:

Since, quadrilateral DUCK is inscribed in circle O

sum of the opposite angles of the quadrilateral is 180°

m<K +m<U= 180°

m<K= 180°- 85°= 95°

Answer:

95 degrees

Step-by-step explanation:

Quadrilaterals that are inscribed in circles are often called "cylic". Cyclic quadrilaterals have many unique properties. One of these is that opposite angles add up to 180 degrees.

Here, DUCK is a cyclic quadrilateral. "Opposite angles" are < U and < K, as well as < D and < C. So, since < U and < K are opposite angles in this inscribed quadrilateral, they add up to 180 degrees:

< U + < K = 180

We already know that < U = 85, so:

85 + < K = 180

< K = 95

Thus, < K is 95 degrees.

Hope this helps!

5 Aaron wants to draw rectangles that each have an area of 36 square inches.
The length and width of each rectangle are whole numbers of inches.
Tell whether each statement about Aaron's rectangles is True or False
a. A rectangle can have a width of 3 inches.
True
b. A rectangle can have a length of 8 inches.
True
C. A rectangle can have a length of 18 inches and a width
of 2 inches.
True
False
False
False
d. A rectangle can have a width of 6 inches and a perimeter
that is less than 36 inches.
True
False
e. A rectangle can have a length of 9 inches, a width of
4 inches, and a perimeter equal to its area.
True
False​

Answers

5 Aaron wants to draw rectangles that each have an area of 36 square inches.

The length and width of each rectangle are whole numbers of inches.

OK, we have Area=L×W where area is 36 and L and W are whole numbers, aka non-negative integers.

36=LW

a. A rectangle can have a width of 3 inches.

Sure, L=36/W = 36/3=12, a whole number.  True

b. A rectangle can have a length of 8 inches.

W=36/L=36/8=9/2, not a whole number.  False

C. A rectangle can have a length of 18 inches and a width  of 2 inches.

Sure 18×2=36, our area.  True

d. A rectangle can have a width of 6 inches and a perimeter

that is less than 36 inches.

L=36/6=6

It's a square, perimeter 6+6+6+6=24 which is of course less than 36

True

e. A rectangle can have a length of 9 inches, a width of  4 inches, and a perimeter equal to its area.

Perimeters can never really equal areas; they have different units.  Let's just assume they mean they have the same number.

Area is 9×4=36, as desired.  Perimeter is 9+4+9+4=26, not equal to its area.

False​

Final answer:

This answer explains the possible dimensions for rectangles with an area of 36 square inches. The possible widths include 3 and 6 inches depending on the corresponding length. However, a length of 8 inches or 18 inches with a width of 2 inches, and a rectangle with a length of 9 inches and a width of 4 inches are false scenarios.

Explanation:

The subject of these statements is about rectangles with an area of 36 square inches and their possible dimensions. For a rectangular area, you multiply the length by the width.

a. A rectangle can have a width of 3 inches: True. A rectangle with a width of 3 inches could have a length of 12 inches, giving an area of 36 square inches (3x12=36).b. A rectangle can have a length of 8 inches: False. There is no whole number that can be multiplied by 8 to give an area of 36.c. A rectangle can have a length of 18 inches and a width of 2 inches: False. Multiplying 18 by 2 gives an area of 36 square inches which is greater than the area allowable.d. A rectangle can have a width of 6 inches and a perimeter that is less than 36 inches: True. A rectangle with a width of 6 inches and a length of 6 inches has an area of 36 square inches and a perimeter of 24 inches, which is less than 36 inches.e. A rectangle can have a length of 9 inches, a width of 4 inches, and a perimeter equal to its area: False. A rectangle with a length of 9 inches and a width of 4 inches has an area of 36 square inches and a perimeter of 26 inches, and therefore the statement is false.

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Solve for a side in right triangles help

Answers

Answer:

The length of AB is 7.45 units.

Step-by-step explanation:

You can find the length of AB using Cosine Rule, cosθ = adj./hypo. :

θ = 20°

adj. = 7 units

hypo. = AB

cos 20° = 7/AB

AB = 7/cos 20°

= 7.45 units (3s.f)

Answer:

7.45

Step-by-step explanation:

Olivia is putting decorations around a picture frame​

Answers

Answer:

Olivia can decorate 88 inches squared.

Step-by-step explanation:

First, 14*8=112in^2

Next,6*4=24in^2

Lastly,112-24=88in^2

So, the answer is 88 inches squared

CLUES
• I'm a 2-digit even number.
• The sum of my digits is 11.
• If you reverse my digits I
would be 27 less than I am.
Who am I?

Answers

The number is 74.
- It’s a two digit even number.
- 7 + 4 = 11
- 74 reversed is 47. 74 - 47 = 27.

Answer:

74

Step-by-step explanation:

a + b = 11

ab - ba = 27

10a + b - 10b - a = 27

10a - a + b - 10b = 27

9a - 9b = 27

9(a - b) = 27

a - b = 27 : 9

a - b = 3

a + b = 11

a - b = 3

_______ +

a + b + a - b = 11 + 3

2a = 14

a = 7

a + b = 11 => 7 + b = 11 => b = 11 - 7 => b = 4

ab = 74

Select the expression that is equivalent to the polynomial given below.
(4x + 3) (3x – 8)
O A. 128 - 23x-24
23x + 24
C.
128²-41x-24
D.
12x +41x + 24

Answers

Look at the attached picture

Hope it will help u...

a spere has a diameter of 24 units what is the volume in cubic units

Answers

Answer: 7238.23

Step-by-step explanation:

volume of a sphere is (4/3)(pie)(r^3)

so if the diameter is 24 than the radius is 12 so u would substitute that into the formula and you should get 7238.23

The correct answer is option D: 6,912π cubic units.

To find the volume (V) of a sphere, you use the formula:

[tex]\[ V = \frac{4}{3} \pi r^3 \][/tex]

where (r) is the radius of the sphere.

Given that the sphere has a diameter of 24 units, the radius (r) is half of the diameter, which is 24/2 = 12 units.

Now, substitute the value of the radius into the formula:

[tex]\begin{aligned}V & =\frac{4}{3} \pi(12)^3 \\V & =\frac{4}{3} \pi 1728 \\V & =\frac{6912}{3} \pi\end{aligned}[/tex]

Complete Question:

A sphere has a diameter of 24 units. What is its volume in cubic units?

A. 576π cubic units

B. 1,728π cubic units

C. 2,304π cubic units

D. 6,912π cubic units

Here are six number cards.
-7 -5 -3 3 1 -1
Arrange the cards into three pairs with the same total.

Answers

Answer:

-7 3=-4

-5 1=-4

-3 -1=-4

-7 and 3 make -4. -5 and 1 make -4. -3 and -1 make -4.

The three pairs with the same total are as follow:

-7 + (3) = -4-5 + 1 = -4-3 -1 = -4What are integers?

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043. A set of integers, which is represented as Z, includes:

Positive Numbers: A number is positive if it is greater than zero. Example: 1, 2, 3 . . .Negative Numbers: A number is negative if it is less than zero. Example: -1, -2, -3 . . .Zero is defined as neither a negative number nor a positive number. It is a whole number.

Given:

Number on cards -7 -5 -3 3 1 -1

Now, we have to make the pair according it gives the same total

-7 + (3) = -4

-5 + 1 = -4

-3 -1 = -4

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John drove from station A to station B a distance of 224 miles. On his way back, he increased his speed by 10 mph. If the journey back took him 24 minutes less, what was his original speed?

Answers

Answer: 70 mph

Step-by-step explanation:

224/x =224/x+10 +24/60

Solve equation

John's original speed was 70 mph.

Let's denote John's original speed as v (in mph).

The time taken for the first journey is 224 / v (hours).

His speed on the return trip is v + 10 mph.

The time taken for the return journey is 224 / (v + 10) (hours).

The time difference between the two journeys is 24 minutes, which is 24/60 = 0.4 hours.

Therefore, we set up the following equation:

224 / v - 224 / (v + 10) = 0.4

To solve this, we find a common denominator and solve for v:

224(v + 10) - 224v = 0.4v(v + 10)

2240 = 0.4[tex]v^2[/tex] + 4v

0.4[tex]v^2[/tex]+ 4v - 2240 = 0

Multiply by 10:

4[tex]v^2[/tex]+ 40v - 22400 = 0

Divide by 4:

[tex]v^2[/tex] + 10v - 5600 = 0

We solve this quadratic equation using the quadratic formula v = [-b ± √(b² - 4ac)] / 2a where a = 1, b = 10, and c = -5600:

v = [-10 ± √(10² - 4*1*(-5600))] / 2

v = [-10 ± √(100 + 22400)] / 2

v = [-10 ± √(22500)] / 2

v = [-10 ± 150] / 2

The possible solutions are:

v = (140 / 2) = 70 mph

v = (-160 / 2) = -80 mph (not feasible)

Thus, John's original speed was 70 mph.

Other Questions
Consider the following cash flows: Year Cash Flow 0 $ 32,500 1 14,800 2 16,900 3 12,200 What is the IRR of the above set of cash flows? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Internal rate of return % which statement best describes how twain develop the central idea of the speech? b PLEASE HELPPPP!!!!!Daniel wants to rent a two-bedroom apartment in Red Pines. Theapartment has a monthly rent of $1,100. He must pay an application feewhich is 2% of 1 month's rent, a credit application fee of $ 10, and asecurity deposit of 1 month's rent. First month's rent is expected to be paidup front. The broker charged a fee of 7% of 1 year's rent. How much isDaniel expected to pay before he can move into the apartment? Help please.Round to the nearest hundredths Which of the following expressions are greater than 1? Choose all that apply.A.16755B.274C.331003D.12333E.10212F.3195 A uniform beam with mass M and length L is attached to the wall by a hinge, and supported by a cable. A mass of value 3M is suspended from the bar 3/4ths of its length from the wall. The angle indicated is 60. What is the tension in the cable? What is the horizontal force provided by the hinge? Help plz plz plz plz plz plz MATH 1325 EXAM 4 NAME: ______________________________ SHOW ALL WORK. ANSWERS WITHOUT WORK WILL RECEIVE NO CREDIT. YOU MUST USE A PENCIL. READ ALL DIRECTIONS. POINTS WILL BE DEDUCTED FOR FAILURE TO FOLLOW DIRECTIONS. TRUE/FALSE WRITE THE WORD THAT BEST DESCRIBES THE GIVEN STATEMENT BY WRITING EITHER "TRUE" OR "FALSE" IN THE SPACE PROVIDED TO THE LEFT OF THE PROBLEM. __________ 1. THE ABSOLUTE MAXIMUM OF A FUNCTION ALWAYS OCCURS WHERE THE DERIVATIVE HAS A CRITICAL FUNCTION. __________ 2. IMPLICIT DIFFERENTIATION CAN BE USED TO FIND dy dx WHEN x IS DEFINED IN TERMS OF y . __________ 3. IN A RELATED RATES PROBLEM, THERE CAN BE MORE THAN TWO QUANTITIES THAT VARY WITH TIME. __________ 4. A CONTINUOUS FUNCTION ON AN OPEN INTERVAL DOES NOT HAVE AN ABSOLUTE MAXIMUM OR MINIMUM. __________ 5. IN A RELATED RATES PROBLEM, ALL DERIVATIVES ARE WITH RESPECT TO TIME. MULTIPLE CHOICE CHOOSE THE ONE ALTERNATIVE THAT BEST COMPLETES THE STATEMENT OR ANSWERS THE QUESTION BY CIRCLING THE CORRECT LETTER. 6. FIND THE MAXIMUM ABSOLUTE EXTREMUM AS WELL AS ALL VALUES OF x WHERE IT OCCURS ON THE SPECIFIED DOMAIN A home decor store donated a percent of every sale to charity .The total sales were $7,400 so the store donated $148.What percent of $7,400 was donated to charity If forester John walks 18 paces in a chain, and he walks 50 paces between point A and B, how many feet has forester john walked? The activation energy for this reaction is 75 kJmol1. The enzyme catalase, found in blood, lowers the activation energy to 8.0 kJmol1. At what temperature would the noncatalyzed reaction need to be run to have a rate equal to that of the enzymecatalyzed reaction at 25 C? What is the area of the figure?20.0 yd17.5 yd219.1 yd35.0 yd2 1. Why is it important for IT technicians to keep documentation on computers for which they areresponsible? [For Questions 1 & 2]There was once a crooked but witty man Douglas charged for the crime offelony. He was kept in a prison cell which was guarded by a hefty officer. Thecell was situated at the beginning of a long straight corridor partitioned by fivedoors. The doors operated on different time switches so that the first, whichseparated the cell from the corridor, opened every 1 minute 45 seconds, thesecond every 1 minute 10 seconds, the third every 2 minutes 55 seconds, thefourth every 2 minutes 20 seconds, and the fifth, which was at the end of thecorridor, every 35 seconds. Every once in a while, the five doors openedsimultaneously. When this happened, the guard arrived, looked down thecorridor to check the cell, and then left. Douglas calculated that in making hisescape it would take 20 seconds to cover the distance between consecutivedoors, which was longer than the amount of time a door stayed open. He alsoknew that if he stayed in the corridor for longer than two and a half minutes, at astretch, an alarm would sound. So he had to escape in the shortest possible time.Given that Douglas was smart enough to keep the track of all time.Question 1:How much time had already passed when Douglas startedmoving?A. 18m 40sec B. 19m 15sec C 19m 50sec D. Prisoner cannot escapeQuestion 2:How long before the guard returned does Douglas cleared thelast door?12m 50secB 13m 25scD. Douglas y= 1/10 tan (60 60) How many degrees are in a quarter circle?o 2540o 90100 The catalyst for the market revolution was a series of innovations in....a. Manufaturingb. Agriculturec. Banking and fianced. Transportation and communication PLEASE HELP! I will give brainliest! If an object is dropped from a tall building, then the distance (in feet) it has fallen after t seconds is given by the function d(t)=16t^2.Determine the average speed (rate of change) between 3 and 8 seconds. Please help!Story:Memories of a MemoryHave you ever witnessed something amazing, shocking or surprising and found when describing the event that your story seems to change the more you tell it? Have you ever experienced a time when you couldn't really describe something you saw in a way that others could understand? If so, you may understand why some experts think eyewitness testimony is unreliable as evidence in scientific inquiries and trials. New insights into human memory suggest human memories are really a mixture of many non-factual things.First, memory is vague. Imagine your room at home or a classroom you see every day. Most likely, you could describe the room very generally. You could name the color of the walls, the floors, the decorations. But the image you describe will never be as specific or detailed as if you were looking at the actual room. Memory tends to save a blurry image of what we have seen rather than specific details. So when a witness tries to identify someone, her brain may recall that the person was tall, but not be able to say how tall when faced with several tall people. There are lots of different kinds of "tall."Second, memory uses general knowledge to fill in gaps. Our brains reconstruct events and scenes when we remember something. To do this, our brains use other memories and other stories when there are gaps. For example, one day at a library you go to quite frequently, you witness an argument between a library patron and one of the librarians. Later, when telling a friend about the event, your brain may remember a familiar librarian behind the desk rather than the actual participant simply because it is recreating a familiar scene. In effect, your brain is combining memories to help you tell the story.Third, your memory changes over time. It also changes the more you retell the story. Documented cases have shown eyewitnesses adding detail to testimony that could not have been known at the time of the event. Research has also shown that the more a witness's account is told, the less accurate it is. You may have noticed this yourself. The next time you are retelling a story, notice what you add, or what your brain wants to add, to the account. You may also notice that you drop certain details from previous tellings of the story.With individual memories all jumbled up with each other, it is hard to believe we ever know anything to be true. Did you really break your mother's favorite vase when you were three? Was that really your father throwing rocks into the river with you when you were seven? The human brain may be quite remarkable indeed. When it comes to memory, however, we may want to start carrying video cameras if we want to record the true picture.Question:Which phrase from the text most clearly explains the main idea of the second paragraph?a. Memory is vagueb. Imagine your room at homec. Rather than specific detailsd. Her brain may recall How WWl remade the glove?