Bella begins to walk from her house toward her friend Ella's house. At the same time, Ella begins to ride her bicycle toward Bella's house. They each maintain a constant speed, and Ella rides 5 times as fast as Bella walks. The distance between their houses is 2 miles, which is 10,560 feet, and Bella covers $2\frac{1}{2}$ feet with each step. How many steps will Bella take by the time she meets Ella

Answers

Answer 1

Since Bella takes 4,224 steps, and Ella takes 844.8 steps, they meet at 4,224 steps.

To determine this:

We can start by using the information given to find out how long it takes Bella and Ella to meet.

Since Ella rides 5 times faster than Bella walks, we can use the following equation to find out how long it takes each of them to cover the 2-mile distance:

Time (Ella) = Time (Bella) / 5

We can also use the distance formula to find out how long it takes Bella to cover the 2-mile distance:

Distance = Speed x Time

We know that Bella's speed is [tex]$2\frac{1}{2}$[/tex]  feet per step, and the distance between their houses is 10,560 feet. So:

10,560 feet = [tex]$2\frac{1}{2}$[/tex] feet/step x Time (Bella)

Solving for Time (Bella), we get:

Time (Bella) = 10,560 feet / [tex]$2\frac{1}{2}$[/tex] feet/step = 4,224 steps

Now we can use this information to find out how long it takes Ella to meet Bella:

Time (Ella) = Time (Bella) / 5 = 4,224 steps / 5 = 844.8 steps

And since Bella takes 4,224 steps, and Ella takes 844.8 steps, they meet at 4,224 steps.

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Related Questions

Analyze and Persevere
Javi is building
a birdhouse. Each of the four walls of the
birdhouse needs to be 5.5 inches long.
Javi has a piece of board that is 24.5 inches
long. Is the board long enough to be
cut into the four walls of the birdhouse?
Estimate using compatible numbers.

Answers

The length of each of the four walls of the birdhouse is 5.5 inches, so the total length of all four walls is approximately 4 x 5.5 = 22 inches. Therefore, Javi's board is long enough to be cut into the four walls of the birdhouse.

What is the wall equation?

Walls. Utilize the conventional equation Length x Width = Area to get the area of a wall. Next, apply the same calculation to each window and door's specific area. Subtract the area of the windows and doors from the overall size of the wall once you have recorded all of these dimensions.

The birdhouse must have four walls that are each 5.5 inches thick.

one room needs four walls because of the length of its four walls.

4*5.5=22

A board measuring 24.5 inches long is in Javi's possession. In order to cut through the birdhouse's four walls, it is sufficient.

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I have x N50 note and y N100 note. There are eight note altogether and their total value i N550. How many of each note do I have?

Answers

So I have 5 and 3 notes each

You need to use simultaneous equations to solve this problem since there are 2 variables.

50x + 100y = 550 (value of the notes x the number of each note)

x + y = 8 (the number of each note added).

Multiply the second equation by 50 so that it the x variables are the same in both equations. Thus, 50x + 50y = 400.

Subtract 50x + 50y = 400 from 50x + 100y = 550.

The subtraction results in 50y = 150.

Divide by 50. y = 3, so x must equal 5.

So I have 5 and 3 notes each

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Is 10 an even number?

Answers

Yes, 10 is an even number because 10 is completely divisible by 2 that's why it is an even number.10 modulo 2 equals zero.

let's first try to understand what are numbers.

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that use digits or symbols to represent them. the system of numbers

a helpful collection of numbers

that reflects the number's algebraic and mathematical structure.

offers a common depiction.

Even numbers An even number is any number that can be divided by 2 precisely. The last digit of an even number is always one of the following: 0, 2, 4, 6, or 8. Even numbers can include 2, 4, 6, 8, 10, 12, and 14.

So 10 is an even number.

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Q1. In the given figure, ABCD is a parallelogram. Complete each statement along with the definition or property used.
(i) AD = ……….. (ii) DC = ……….. (iii) ∠DCB = ………..
(iv) ∠ADC = ……….. (v) ∠DAB = ……….. (vi) OC = ………..
(vii) OB = ……….. (viii) m∠DAB + m∠CDA = ………..

Answers

Step-by-step explanation:

i. AD = BC= 6cm (each two opposite sides are equal in length in parallelogram)

ii.DC=AB=9cm (each two opposite sides are equal in length in parallelogram)

iii.DCB=60 ,, bec DC and AB are parallel so their interior angles are supplementary their sum equals 180°

so DCB = 180-120=60°

iv.ADC=ABC = 120° because each two opposite angles are equal in measure in parallelogram

v. DAB=DCB =60° because each two opposite angles are equal in measure in parallelogram

vi. OC=AO =7cm because the diagonals of parallelogram bisect each other

vii. OB=DO=5cm because the diagonals of parallelogram bisect each other

viii . DAB=60° ,, CDA= 120 °

DAB+CDA =180°

or you could simply say that because DC and AB are parallel their interior angles are supplementary their sum is 180°

Suppose you throw a ball straight up from the ground with a velocity of 176 feet per second. As the ball moves​ up, gravity slows it. ​ Eventually, the ball begins to fall back to the ground. The height h of the ball after t seconds in the air is given by the equation h=−16t2+176t. Use the given information to answer parts a through c.

a. Find the height of the ball after four seconds

Answers

Therefore, the height of the ball after four seconds is 448 feet.

Define height.

Height refers to the vertical distance between something's top and bottom or its base and anything above it. Height is used to describe everything that may be measured vertically, high or low.

What is distance?

Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

We need to plug t = 4 into the equation h = -16t^2 + 176t.

h = -16(4^2) + 176(4)

h = -16(16) + 704

h = -256 + 704

h =  448 feet.

So, 448 feet is the height after four seconds.

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Find the area of the shaded region in the above sided figure. Take  = 3.14

Answers

Step-by-step explanation:

The Radius of the larger semi circle = [tex]\frac{12}{2}[/tex] = [tex]6[/tex][tex]cm[/tex]

Area of the 2 larger semi Circles = [tex]\frac{\pi r^{2} }{2}[/tex][tex]X2[/tex]

                                                  = [tex]\frac{3.14X(6)^{2} }{2} X 2[/tex]

                                                   = [tex]\frac{113.04}{2} X2[/tex]

                                                    = [tex]113.04[/tex] [tex]cm^{2}[/tex]

Radius of the smaller semi circle = [tex]\frac{5}{2} = 2.5cm[/tex]

Area of the smaller semi circle = [tex]\frac{\pi r^{2} }{2}[/tex][tex]X2[/tex]

                                                    = [tex]\frac{3,14X(2.5)^{2} }{2} X 2[/tex]

                                                     = [tex]196.25[/tex][tex]cm^{2}[/tex]

Combined Area = [tex]113.04 + 196.25[/tex]

                           = [tex]309 . 29cm^{2}[/tex]

when processing an invoice what account is credited
a. accounts receivable
b. cash
c. accounts payable
d. the answer depends on the transaction

Answers

Answer:

accounts payable

Step-by-step explanation:

Because amount of money you owe

Toni invests money into an account which pays a fixed rate compound interest each year.
The total value, £V, of her investment after 't' years is given by the formula=1350 x 1.04t.
How much did Toney invest?
if u get this ur a genius

Answers

Answer: Toni invested in pounds= $1350

Step-by-step explanation:rate of compound interest=4%

Step-by-step explanation:

Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula:  

Given equation is in the form of

where P is the amount invested

'r' is the rate of interest

t is the time taken

P= 1350 is the initial amount invested

1+r= 1.04  (subtract 1 from both sides)

multiply it by 100 to get percentage

r= 4%

I just search it bc my brain dosent work any more

PLEASE HELPPP !!
Given the diagram below, which statement is true?

Answers

Answer:

C. ∠1 and ∠3 are vertical angles and congruent.

A taxicab company charges $2.30 plus $0.80 per mile. Carmen paid a fare of $11.90. Enter and solve an equation to find the number of miles she traveled. Use m as your variable.

Answers

The number of miles the taxicab traveled is 12.

The area of mathematics known as algebra aids in the representation of circumstances or problems into mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division.

Given that,

The fixed charges = $ 2.30

Additional charges per miles = $ 0.80,

Thus, the additional charges for x number of miles = $ 0.80x

So, the total charges for x number of miles = Fixed charges + additional charges

=> 2.30 + 0.80x

According to the question,

2.30 + 0.80x = 11.90 (this is the required equation)

Subtracting 2.30 from both sides,

0.80x = 9.6

Dividing both sides by 0.80

x = 12

Hence, the taxicab traveled 12 miles.

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Is Br2 equal to Avogadro's number?

Answers

Br₂ does not equal to Avogadro's number. Since bromine is a diatomic element.

What is a diatomic element?

Diatomic molecules—so named because they only contain two atoms of the same or different chemical elements—are molecules that are made up of two atoms. A diatomic molecule is considered to be homonuclear if it contains two atoms of the same element, such as oxygen (O₂) or hydrogen (H₂).

Each bromine molecule consists of 2 atoms of bromine. Br₂ consists of two moles. One mole of bromine consists of 6.02214076 × 10²³ atoms. Thus 2 moles of bromine consist of 2 × 6.02214076 × 10²³ = atoms. Thus Br₂ does not equal to Avogadro's number.

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At the end of a snowstorm, Peyton had 8 inches of snow on her lawn. The temperature then increased and the snow began to melt at a constant rate of 1 inch per hour. Assuming no more snow was falling, how much snow would Peyton have on her lawn 2 hours after the snow began to melt? How much snow would Peyton have on her lawn after t hours of snow melting?

Answers

The amount of snow on Peyton's lawn after 2 hours is 4 inches

amount of snow after t hours y = 8 - t

How to model the required equation

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

definition of variable to suit the problem

y = output variable = amount of snow remaking

m = slope = 1 inch per hour

x = input variable = number of hours

c = y intercept = 8 inches of snow on Peyton's lawn

The equation as described in the problem is represented using linear function as as follows

y = 8 - x

in 2 hours x = 2

y =8 - 2 = 4 inches

The quantity of snow after t hours

x = t

y = 8 - t

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How do you find the missing side of an isosceles triangle?

Answers

Isosceles triangle has three sides, three angles, a base, a height, and an area in which two sides are equal to each other .

What is an isosceles triangle simple definition?

An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles

the sum of triangle is 180, sum of all the interior angles is equal to 180.

so if you know two angles then apply sum of triangles and find out the value of the third triangle.

isosceles triangle

An isosceles triangle is a type of triangle that has any two sides equal in length. The two angles of an isosceles triangle, opposite to equal sides, are equal in measure.

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Which fraction is greater 28/16 or 7/4

Answers

Answer:

business plan proposal

Answer:

we have to make the denominator of both the fraction same so that we can compare.

We have to multiplybboth nominator and denominator by 6.then,

7×6/4×6=28/16

Now, comparing 28/6 and 28/6 we get to know that both the fraction are proportional.i.e.28/16=7/4

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question in in the image

Answers

Answer:

Step-by-step explanation: The answer will be D isolate the variable x by dividing by the factors.

It is D
I can do all ur work for you (813) 819-5978

Find the measure of angle F

Answers

Is there an image that goes with this question??

question: 49a+26+11–3–6

Answers

Answer:

49a + 28

Step-by-step explanation:

Answer:

49a+28

Step-by-step explanation:

49a+26+11–3–6

49a+26+11-9

49a+26+2

49a+28

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Answers

A measurement which could be the side lengths of a right triangle include the following: C. √24 in, √6 in, √30 in.

How to determine the side lengths?

In order to determine which measurements could be the side lengths of a right triangle, we would have to apply Pythagorean's theorem.

Mathematically, Pythagorean's theorem is given by this formula:

x² + y² = z²

From the side lengths of the first triangle, we have the following:

(√6)² + (√30)² = (√33)²

6 + 30 = 33

36 = 33 (False).

From the side lengths of the first triangle, we have the following:

(√27)² + (√18)² = (√48)²

27 + 18 = 48

45 = 48 (False).

From the side lengths of the first triangle, we have the following:

(√6)² + (√24)² = (√30)²

6 + 24 = 30

30 = 30 (True).

From the side lengths of the first triangle, we have the following:

(√18)² + (√21)² = (√48)²

18 + 21 = 48

39 = 48 (False).

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I don’t know this question

Answers

The phrase b2 - 4ac is referred to as the discriminant for the quadratic equation ax2 + bx + c = 0.

What is a discriminant formula?

The phrase b2 - 4ac is known as the discriminant for the quadratic equation ax2 + bx + c = 0. How many roots f(x) has is shown by the discriminant's value: - The quadratic function has two unique real roots if b2 - 4ac > 0 A repeated real root exists in the quadratic function if b2 - 4ac = 0.

D=b2 - 4ac, discriminatory

The constant term c.

In mathematics, a discriminant is a parameter of an object or system that is calculated to help with its classification or solution. For the cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc 4b3 4a3c 27c2, while the discriminant for the quadratic equation ax2 + bx + c = 0 is b2 4ac.

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Reason Abstractly Determine if the
statement is true or false. Justify your
response.
The point (1, r) on the graph of a proportional
relationship shows the unit rate r.

Answers

Yes, the statement is true. If a proportional relation has the point (1, r), then r is the unit rate.

Is the statement true or false?

Here we have the following statement:

"The point (1, r) on the graph of a proportional relationship shows the unit rate r."

First, remember that a proportional relationship between two variables x and y can be written as:

y = k*x

There k is what we call the constant of proportionality or the unit rate.

If we evaluate that equation in x = 1, we will get:

y = k*1

y = k

Then we have the point (1, k).

In this case, we know that our proportional relation has the point (1, r), comparing this with the case above, we can see that r is the unit rate of the proportional relation.

So the statement is true.

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Pls help quickly. Calculate the bearing of Y from
Z.
N
X
135°
z+
105°
Z
Y
Not draw

Answers

The bearing of point Y from point Z is 30 degrees.

What is the bearing of a point?

The bearing of a point is the angle measured in degrees clockwise from a reference direction (usually north). To find the bearing of point Y from point Z, we need to determine the angle between the line connecting point Z to point Y and the reference direction.

we know that the bearing of point X from point Z is 135 degrees, and the bearing of point X from point Y is 105 degrees.

we can use the following mathematical relationship to find the bearing of point Y from point Z:

Bearing of Y from Z = (Bearing of X from Z) - (Bearing of X from Y)

Substituting the values we know:

Bearing of Y from Z = 135 - 105 = 30 degrees

Hence, the bearing of point Y from point Z is 30 degrees.

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Kyle puts all of his craft beads into a bag. Exactly 1/3 of the beads are blue and 5/16 are red. What is the unit rate of blue beads to red beads in Kyle's bag?

Answers

The unit rate of blue beads to red beads in Kyle's bag is 1(1/15).

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Blue beads = 1/3

Red beads = 5/16

The unit rate of blue beads to red beads.

= 1/3 ÷ 5/16

= 1/3 x 16/5

= 16/15

= (16/15) / 1

= 1(1/15) / 1

Thus,

The unit rate is 1(1/15).

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An otter is swimming in the deep area of his tank at the zoo. The surface area of the otter's back is A

Answers

The equation of the magnitude of the force applied at the back of otter is F is (P+P0)A F is ( P + P 0 ) A .

What does the term magnitude of the force mean?

The amount that encapsulates the force's power is known as its magnitude. Consider the following scenario: the force is 10 N in the east. The direction is indicated by "towards east," while the force is indicated by "10." Magnitude may be thought of as simply the "value" or "amount" of any physical quantity.

The surface area of the otter's back is A = 0.55 m2.

The fluid pressure at the depth of the otter is P = 11500 Pa.

Thus, the equation of the magnitude of the force applied at the back of otter is F=(P+P0)A F = ( P + P 0 ) A .

The complete question is

An otter is swimming in the deep area of his tank at the zoo. The surface area of the otter's back is A = 0.55 m2. The fluid pressure at the depth of the otter is P = 11500 Pa.

Write an equation for the magnitude of the force F on the back of the otter in terms of the pressure P and the atmospheric pressure P0.

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Suzy randomly picks marbles from a bag containing 13 identical marbles. How many possible outcomes are there if she selects 9 marbles

Answers

Suzy randomly picks marbles from a bag containing 13 identical marbles. The possible outcomes of the given probability if she selects 9 marbles is:

259,459,200.

What is random?

Randomness is commonly used to refer to an event's apparent or actual lack of pattern or predictability. Random events, symbols, or steps frequently occur in no particular order and do not adhere to any recognizable pattern or combination.

Germanic in origin, Randon is a name for boys. With a name that means "wolf shield," you can inspire baby Randon to embrace their sense of adventure. something or someone that is suspiciously out of the ordinary, unidentified, or unknown. a peculiar or erratic individual or thing. Something that is random lacks structure, direction, or intent. Like the random selection of lottery numbers or unplanned random events, it occurs entirely by chance.

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What is the smallest natural number value
for n if the solution for √56n is also a
natural number?

Answers

Answer:

2√14

Step-by-step explanation:

√56 = √4 × √14

which is

2√14

Which equation is the inverse of 2(x-2)² = 8(7+ y)?
O-2(x-2)² = -8(7+ y)
Oy-1x²-x-8
O y=-2± √28+4%
Oy=2+√√28+4x

Answers

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]2(x-2)^2=8(7+y)\hspace{5em}\stackrel{\textit{quick switcheroo}}{2(y-2)^2=8(7+x)} \\\\\\ (y-2)^2=\cfrac{8(7+x)}{2}\implies (y-2)^2=4(7+x)\implies (y-2)^2=28+4x \\\\\\ y-2=\pm\sqrt{28+4x}\implies \boxed{y=2\pm\sqrt{28+4x}}\qquad \impliedby f^{-1}(x)[/tex]

Which expression is equivalent to 2. 2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m)?

Answers

2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m) is equivalent to 2.2m² + 11.3m - 8.7

The polynomial equations of degree two in one variable of type f(x) = ax2 + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f. (x). The roots of the quadratic equation are the values of x that fulfill the equation (, ).

It is a given that the quadratic equation has two roots. Roots might have either a true or made-up nature.

2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m) is equivalent to 2.2m² - 3.5(4m- 1.4) + 3.6(8m -4.5m) which is equivalent to 2.2m² - 14m + 4.9 + 25.2m - 12.6m which is equivalent to 2.2m² + 11.3m - 8.7

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Abraham ran 3.18 miles on Monday. On Tuesday, he ran 1.6 times further than he did on Monday. How many more miles did he run on Tuesday than on Monday?

Answers

1.908 miles Abraham run on Tuesday than on Monday.

How miles more miles he run on Tuesday than on Monday?

Step 1

Monday he run 3.18 miles

Tuesday he run 1.6 times than Monday

how many more miles miles he run?

Step 2

3.18*(1.6-1)

1.6-1 is 1.6 times further than he did on Monday

Step3

3.18*(1.6-1)

=3.18*0.6

=1.908

he run on Tuesday than on Monday is 1.908

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Abraham ran 1.908 more miles on Tuesday than it was on Monday, based on the information provided.

Why is math referred to as arithmetic?

The fundamental ideas in number theory, measurement, and computation are frequently referred to as "arithmetic" (which is derived from the Greek word "arithmos," "number") (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

First, he ran 3.18 miles on Monday.

He ran 1.6 times more on Tuesday than on Monday.

how many kilometers did he run in total?

Step 2\s3.18*(1.6-1) (1.6-1)

One and a half times closer than he was on Monday at 1.6-1

Step3\s3.18*(1.6-1)\s=3.18*0.6\s=1.908

He ran 2.908 more on Tuesday than it does on Monday.

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the ratio of a model car to a regular car is 1 :16 the model is 6.25 inches long what is the length of the actual car in feet and inches?
PLEASE HELP AND SHOW WORK!!!

Answers

Since the model is a 16 the size, that means the length is also a 16 the size, so reverse that and multiply 6.25x16 to get 100 inches long

What is the missing reason for line 2 in this proof?

Answers

Answer:  Choice C

Definition of a rectangle

Explanation:

A rectangle has two sets of parallel sides, and those opposite sides are the same length. This is simply the definition of what it means to be a rectangle. Because ABCD is a rectangle, we have these two pairs of congruent opposite sides:

AB = CDAD = BC

Other Questions
How can you improve your flexibility as a student? What is a triangle with 2 congruent sides and an obtuse angle Donald trump won a razzie award for worst supporting actor for his cameo appearance in which film?a. From Justin to Kelly b. Ghosts Can't Do itc. Gaddyshack IId. The Lonely Lady Finding a Mistake in a Subtraction ProblemJordan wants to solve the problem: 453-254 = ?He begins by making an estimate.450-250 = 200Estimate:.Then he uses expand-and-trade subtraction to find an exact answer, but his answer is notclose to his estimate. This is his work."Oops," says Jordan, "I didn't cross out 400 and write 300."Explain why not changing 400 to 30 is a mistake.Hint: Use what you know about place value in your answer.) What does bill gates do to help fix his image and to leave a better legacy for himself? SAVINGS Natalie has $250 in her savings account, into which she deposits $10 of her allowance each week. The balance of her savings account can be modeled by the function f(w)=250+10w, where w represents the number of weeks. Which function g(w) represents the balance of Natalies savings account if she withdraws $40 to purchase a new pair of shoes? Describe the translation of f(w) that results in g(w). What are geohazard and how can they affect our live and our property? Decribe the data that are available for u to predict and locate variou geohazard How do you make changes in the workplace? 10. (04.03 HC)Which substances are needed for cellular respiration?Use complete sentences to explain how the mass of hydrogen is conserved during cellular respiration. (10 points) is there an impact on the environment if blue whales went extinct? Who or what would it impact? Find the Average Rate of Change of the graph over the interval -4 < x < 5 Mystery Passages Week 1 = Write an objective summary of todays passage When an individual starts exercising at a light pace, what energy system provides the bulk of energetic needs if this were to last an hour What are the trends that affect changes in an organization? 1. Having the audio shift from Kalanithi's voice to a child's voice in the middle of the poemA. is not effective because it distracts from the words of the poem and its meaning.B. is not effective because no one explains why a child is reciting this part of the poem.C. is effective because it parallels the shifting point of view in the poem.D. is effective because it suggests the passage of time from one generation to the next. AYUDAA, necesito un monologo, no importa el tema, pero tiene que ocupar como mucho una pagina o una y media, le necesito para maana, AYUDA xfavor A retail store sold a case of candles for $17.85 that had been marked up 110%. What was the original price of the table My aim in life to be successful enterpenure 2000 words What is the coefficient of 5x in 5x 5x? Why was the Magna Carta so important ?