The amount or the strength of force is called its

Answers

Answer 1

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The amount or the strength of force is called its magnitude.

Step-by-step explanation:

Hope it helps you !!
Answer 2

The amount or the strength of force is named magnitude.

What is force?

Force is that the push or pull on an object with mass that causes it to alter its velocity. Force is an external agent capable of adjusting the state of rest or motion of a selected body. it's a magnitude and a direction.

How to identify strength of force?

The term which is true is magnitude. The magnitude of a force is expressed within the SI unit of force called Newton. 1 Newton is that the force which might make an object of 1 kilogram mass to  at a speed of 1 meter per second. Magnitude is essentially the most extent of size and also the direction of an object. Magnitude is employed as a typical think about vector and scalar quantities. Magnitude of earthquake is measured by Richter scale.

Hence the number or the strength of force is named its magnitude.

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Related Questions

PLEASE HELP
a marine biologist tags 50 fish at lake ness and releases them. five days later, he captures 75 fish and finds that 3 of them are tagged. assuming the population of fish has remained constant over the five days and that this sample is an accurate representation of the portion of the fish in the lake that are tagged, how many fish are in the lake?

Answers

75 divided by 3 because for every 75 fish 3 are tagged 1,217 (rounded up from 1,216.6 repeating)

which graph shows the system of inequalities y<-1/3x+1 and y≤2x-3

Answers

The graph of the system of inequalities can be seen below.

Which graph shows the solution for the system?

Here we have the inequalities:

y < -(1/3)*x + 1

y ≤2x-3

To graph the first inequality, we need to graph the line -(1/3)*x + 1 with a dashed line (because the symbol < was used) and shade the region below that line.

For the second inequality we need to graph the line 2x-3 with a solid line this time, and again, shade the region below the line.

The graph of the system is shown in the image below.

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What is the equation of the line AB, if it passes through (-4,0), and is parallel to the line
-x - 4y = 1?

Answers

Rewriting the equation of the given line in slope-intercept form,

[tex]-x-4y=1\\\\-4y=x+1\\\\4y=-x-1\\\\y=-\frac{1}{4}x-\frac{1}{4}[/tex]

From this, we know the slope of the given line is -1/4.

Since parallel lines have the same slope, we know the line whose equation we want to find has a slope of -1/4.

Substituting into point-slope form,

[tex]y=-\frac{1}{4}(x+4)\\\\\boxed{y=-\frac{1}{4}x-1}[/tex]

Which composition of transformations maps figure EFGH to figure E"F"G"H"?

a reflection across line k followed by a translation down
a translation down followed by a reflection across line k
a 180° rotation about point G followed by a translation to the right
a translation to the right followed by a 180° rotation about point G

Answers

The  composition of transformations maps figure EFGH to figure E"F"G"H" is Option A.a reflection across line k followed by a translation down.

What is the transformations rule that was used here?

A transformation is a rule that is used to manipulate the position of a point of geometric figure.

And from the figure, we can see that a translation is used, because of the movement of EFGH to figure E"F"G"H" which occurred in the same direction.

Hence,  composition of transformations maps figure EFGH to figure E"F"G"H" is Option A.a reflection across line k followed by a translation down.

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The diameter of a sphere is
a chord that passes through the center of the sphere.
a fixed point equidistant from all points on the surface of the sphere.
a line segment from the center point to a point on the sphere.
a three-dimensional circle in which all points are equidistant from a fixed point.

Answers

The diameter of a sphere is a chord that passes through the centre of the sphere.

We need to complete the given statement.

What is the diameter of the sphere?

The diameter of a sphere is the maximum distance between two antipodal points on the surface of the sphere. If is the radius of a circle or sphere, then. The ratio of the circumference of a circle or great circle of a sphere to the diameter.

A chord of a sphere is a segment whose endpoints are on the sphere. A diameter is a chord that contains the centre.

Therefore, the diameter of a sphere is a chord that passes through the centre of the sphere.

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please help me in this :")​

Answers

The numbers of runners that are 50 and above are 3000.

How to find the runners that are 50 and above in the pie chart?

Using the pie chart,

If there are 1500 runners that are under 20, therefore,

1500 = 10 / 100 × x

where

x = total number of runners

10x = 150000

x = 15000

Therefore,

the number of runners that are 50 and above = 20 / 100 × 15000 = 3000

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Let [tex]K[/tex] be a circle with centre [tex]O[/tex]. A second circle [tex]L[/tex] passes through [tex]O[/tex] and cuts [tex]K[/tex] at two other points [tex]A[/tex] and [tex]B[/tex]. Let [tex]P[/tex] be a point on arc [tex]AOB[/tex] and extend line segment [tex]BP[/tex] to intersect [tex]K[/tex] at a second point [tex]Q[/tex]. Prove that the bisector of angle [tex]APQ[/tex] passes through [tex]O[/tex].

Answers

The bisector of angle APQ passes through O and this is illustrated below.

How to illustrate the information?

From the information given, the center is O. and the circle passes through O and cuts at K.

In this case, it should be noted that the circles are equal according to the SAS test.

Here, AOB + APQ = 180° (Linear pair)

2AOB = 180

AOB = 90.

Therefore, the bisector of angle APQ passes through O.

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What is the slope of the line that passes through the points (-6, -6) and (-9,-5)? Write your answer in simplest form. What is the slope of the line that passes through the points ( -6 , -6 ) and ( -9 , -5)?​

Answers

Answer:

[tex]y=-\frac{1}{3}x -8[/tex]

Step-by-step explanation:

1) Write down the standard form of an equation of a line and the formula to find m.

[tex]y=mx+b[/tex]

[tex]m=\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

2) Find m using the formula then substitute it into [tex]y=mx+b[/tex].

[tex]m=\frac{-5 - (-6) }{-9 - (-6)}\\m=\frac{-5 +6 }{-9 +6}\\m=\frac{1}{-3} \\m=-\frac{1}{3}[/tex]

So, [tex]y=-\frac{1}{3}x +b[/tex].

3) Find b by substituting a pair of coordinates the line goes through.

[tex]-6=-\frac{1}{3}(-6) +b\\-6=2+b\\-6 - 2=b\\-8=b[/tex]

4) Substitute b into [tex]y=-\frac{1}{3}x +b[/tex] to get your final answer.

[tex]y=-\frac{1}{3}x -8[/tex]

A system of three linear equations in three variables is inconsistent. how many solutions to the system exist? none one three infinitely many

Answers

None solutions to the system exist.

Given statement: A system of three linear equations in three variables is inconsistent.

Concept: If a, b, c and r are real numbers (and if a, b, and c are not all equal to 0) then ax + by + cz = r is called a linear equation in three variables. (The “three variables” are the x, the y, and the z.) The numbers a, b, and c are called the coefficients of the equation.

We know that if a system has no solution, then it is known as inconsistent.

[If there are one, two, or an infinite number of solutions to the system, then it is called consistent.]

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HELP ME! what is the measure of the supplement of each angle? 165°

Answers

Answer:

15

Step-by-step explanation:

Supplementary angles add to 180 degrees

Let the supplement be x

x+165 = 180

x +165-165= 180-165

x = 15

The supplement is 15

Answer:

Hello! The answer is 15°.

Step-by-step explanation:

Supplementary angles add up to 180°.

To find the measure of each angle, we can now set up an equation because we have the total that supplementary angles add up to:

x + 165 = 180

Now, we can subtract 165 from both sides to get x by itself:

x + 165 = 180

    -165  -165

This leaves us with:

x = 15

What's the sum Sn of the first n terms of this given sequence?

1, 1+2, 1+2+3, 1+2+3+4, ...
The kth term is 1+2+3+ ... +k =

(I also attached a picture of the question. Thanks!)

Answers

Answer: [tex]\frac{k(k+1)}{2}[/tex]

Step-by-step explanation:

This is a standard formula.

Joyce has as much money as George; then they bet 5 cents each and George lost. If, after the bet, George has x cents, how much does Joyce have ?

Answers

Answer:

x+10

Step-by-step explanation:

So they did a bet, and placed 5 cents each. George lost the bet that gives Joyce 5 points plus 5 more that make 10.

After the bet George has: x cents

Before the bet George had: x + 5 cents

Before the bet Joyce had also x + 5 cents

Since Joyce won 5 cents, after the bet she has x + 5 + 5 = x + 10 cents.

Add: - 14 + (-12) + 4

Answers

Answer:

-22

Step-by-step explanation:

-14+(-12)+4

=-14-12+4

=-26+4

=-22

y = x² + 3
y = x + 5

Answers

Answer:

x^2-x-2=0

Step-by-step explanation:

x^2+3=x+5

x^2-x-2=0

Thomas traveled north 24 miles and then 15 miles west. Find the shortest distance between the start and end points. 15 miles O 24 miles 28.3 miles 32.8 miles Thomas traveled north 24 miles and then 15 miles west . Find the shortest distance between the start and end points . 15 miles O 24 miles 28.3 miles 32.8 miles​

Answers

The distance between the start and end points is 28.3 miles.

How to find the distance?

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_2 -y_1)^2}[/tex]

Here the initial point is (0mi, 0mi).

If we define the north as positive y-axis and east as the positive x-axis, after that Thomas travels 24 miles north and 15 miles west his new position is:

(-15mi, 24mi).

The distance is then:

[tex]d = \sqrt{(-15mi - 0mi)^2 + (24mi - 0mi)^2} = 28.3mi[/tex]

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What is the equation of the parabola? coordinate plane with a parabola facing up with vertex at 0 comma 2, the point 0 comma 5 and a horizontal line going through 0 comma negative 1 y = −one twelfthx2 − 2 y = one twelfthx2 − 2 y = −one twelfthx2 2 y = one twelfthx2 2

Answers

The equation of the parabola is y = 2/25x^2 + 2

How to determine the parabola equation?

The complete question is in the image

The given parameters are:

Vertex, (h, k) = (0,2)

Point (x,y) = (-5, 4)

The parabola is represented as;

y = a(x - h)^2 + k

Substitute (h, k) = (0,2)

y = a(x - 0)^2 + 2

This gives

y = ax^2 + 2

Substitute (x, y) = (-5,4)

4 = a(-5)^2 + 2

This gives

4 = 25a + 2

Subtract 2 from both sides

25a = 2

Divide by 25

a = 2/25

Substitute a = 2/25 in y = ax^2 + 2

y = 2/25x^2 + 2

Hence, the equation of the parabola is y = 2/25x^2 + 2

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Tony makes a table to use as a quick reference guide:
Cookies baked (y) is a function of number of batches (x).

Use the table tool to answer the question.

How many cookies will Tony have if he bakes 10 batches more than the maximum number of batches in the table?

Enter the correct answer. ​

Answers

Tony will have 486 cookies if he bakes 10 batches more.

Take two points from table: (8, 234), (9, 252)

Find slope:

[tex]slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\rightarrow slope \ (m) : \dfrac{252-234}{9-8} = 18[/tex]

This determines that one batch of cookies has 18 cookies.

So, if he bakes 10 more batches:

(10 × 18) = 180 cookies

Total cookies he then will have:

306 cookies + 180 cookies = 486 cookies.

Write a proportion for the statement.
40 is to 10 as 32 is to 8.

Answers

Hi! ⋇

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

  All proportions have this form:

  [tex]\sf{\dfrac{a}{b}=\dfrac{c}{d}}[/tex], Where [tex]\sf{\dfrac{a}{b}}[/tex] is equal to [tex]\sf{\dfrac{c}{d}}[/tex].

 If [tex]\sf{\dfrac{a}{b}\neq\dfrac{c}{d}}[/tex], it's not a proportion.

_________________________

  Here we have two pairs of numbers:

40,10 and 32,8.

Written As a proportion, they look like :

[tex]\sf{\dfrac{40}{10}=\dfrac{32}{8}}[/tex]

Hope this made sense to you :)

[tex]\it{Calligrxphy}[/tex]

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

Need answer & explanation! Please & thank you!

Answers

Answer: the correct is x=1,

Step-by-step explanation:

Graph each side of the equation. The solution is the x-value of the point of intersection.

x=1

Answer:

1

Step-by-step explanation:

you can plug it in and it gives you 3-1 which results in 2 as the question asks for

can i have the x,y,z for this question? THanks!

Answers

Answer:

x=4, y=-2, p=14

Step-by-step explanation:

First simplify the LHS:

[tex]LHS = (16p^8)^\frac{3}{2} \times (216p^{-3})^{-\frac{2}{3}}[/tex]

[tex]= 64 p^{12} \times \frac{1}{36} p^{2}[/tex]

[tex]=\frac{16}{9}p^{14}[/tex]

[tex]=\frac{2^4}{3^2}p^14\\=2^43^{-2}p^{14}[/tex]

Hence x=4, y=2, p=14

Find so that the distance between (−2,3) and (,1) is √13

Answers

The distance between (-2, 3) and (-5, 1) is √13.

or, the distance between (-2, 3) and (1, 1) is √13.

We know that the length of the line segment connecting any two points represents the distance between them. There is just one line that connects the two points. Therefore, by measuring the length of the line segment that connects the two points, the distance between them can be determined. If (a, b) and (c, d) be two points, then the distance between them is [tex]\sqrt[]{(b - a)^{2} +(d- c)^{2} }[/tex].

Here, one point is (-2, 3).

Let the other point be (x, 1).

Given that the distance is √13.

Now, [tex]\sqrt[]{(x - (-2))^{2} +(1 - 3)^{2} } = \sqrt{13}[/tex]  

i.e. [tex]\sqrt[]{(x + 2)^{2} +( - 2)^{2} } =\sqrt{13}[/tex]

i.e. [tex]\sqrt[]{x^{2}+4x +4 +4 }=\sqrt{13}[/tex]

i.e. [tex]x^{2}+4x +8 =13[/tex]

i.e. [tex]x^{2}+4x + 8- 13=0[/tex]

i.e.[tex]x^{2}+4x -5=0[/tex]

i.e. [tex]x^{2} +5x - x -5=0[/tex]

i.e. [tex]x(x+5)-1(x+5)=0[/tex]

i.e. [tex](x+5)(x-1)=0[/tex]

i.e. [tex]x=-5,1[/tex]

So, the point is either (-5, 1) or (1, 1).

Therefore, the required point is either (-5, 1) or (1, 1).

i.e. the distance between (-2, 3) and (-5, 1) is √13.

or, the distance between (-2, 3) and (1, 1) is √13.

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John missed 4 problems on a test but did 75% of them correctly. How many problems
were there in the test?

Answers

Answer:

16

Step-by-step explanation:

he missed 25%

if 4 = 25% then 16 questions total

4*4=16 and 25% * 4 = 100%

Answer: 16 problems

Step-by-step explanation:

First find out how many John got wrong. 100%-75%=25%. Then do cross multiplication: 4*100=25x; 400=25x. Divide 25 on both sides and... BOOM! you get 16 problems.

Determine if the given ordered triple is a solution of the system.

(4, -5, -4)
4x + 2y + z = 2
5x - 4y - z = 44
3x + y + 4z = -9

Answers

Answer:

It is.

Step-by-step explanation:

(x, y, z) => (4, -5, -4)

substitute 4 in x, -5 in y & -4 in z for all the equations in the system.

4x + 2y + z = 2

4(4) + 2(-5) - 4 = 2

2 = 2

5x - 4y - z = 44

5(4) - 4(-5) - (-4) = 44

44 = 44

3x + y + 4z = -9

3(4) + (-5) + 4(-4) = -9

-9 = -9

All equations therefore agree with the ordered triple.

2. Marjorie wants to subdivide a rectangular plot of land measuring 600 m by 720 m
into equal square lots. What is the side length of the largest possible square lot
she can use? Show the prime factorization results to support your answer.

Answers

the largest length of the squares will be 120m.

What is the side length of the largest possible square lot she can use?

The largest possible length will be equal to the greatest common factor between the dimensions of the rectangular plot, so we need to find the GCF between 600 and 720.

If we decompose both numbers, we get:

600 = 2*2*2*3*5*5

720 = 2*2*2*2*3*3*5

Then the greatest common factor is: (2*2*2*3*5) = 120

So the largest length of the squares will be 120m.

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A fair die is rolled 1200 times. Find the approximate probability that the sum falls between
5000 and 6300. Clearly indicate any theorems that you are using / where any rounding has been done.
Your final answer should be accurate to two decimal places.

Answers

Answer:

abcdefghijklmnopqrstuvwxyz

Step-by-step explanation:

these are the alphabets

Find the demand function for the marginal revenue function. Recall that if no items are​ sold, the revenue is 0.

R'(x) = 599 - 0.21sqrt(x)

What is the integral that is needed to solve the problem and the demand function?

Answers

The integral that is needed to solve the demand function is R(x) = 599x - 0.14[tex]x^{3/2}[/tex]

What is Demand Function?

A demand function describes the mathematical relationship between the quantity demanded and one or more determinants of the demand, as the price of the good or service, the price of complementary and substitute goods, disposable income, etc.

Here, given differential equation;

R'(x) = 599 - 0.21[tex]\sqrt{x}[/tex]

we can also write this as;

[tex]\frac{d}{dx}R(x) = 599 - 0.21\sqrt{x}[/tex]

[tex]d R(x) = (599 - 0.21\sqrt{x} ) dx[/tex]

On integrating both sides, we get

[tex]\int\ d R(x) = \int\ (599 - 0.21\sqrt{x} ) dx[/tex]

R(x) = [tex]599x - 0.21 X \frac{2}{3}x^{3/2}[/tex] + C

R(x) = 599x - 0.14[tex]x^{3/2}[/tex] + C       ...........(i)

Also given, at x = 0, R(x) = 0, Put these values in equation (i), we get

0 = 0 - 0 + C

C = 0

Put the value of C in equation (i), we get

R(x) = 599x - 0.14[tex]x^{3/2}[/tex]

Thus, the integral that is needed to solve the demand function is R(x) = 599x - 0.14[tex]x^{3/2}[/tex]

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Pls help! Geometry
What is the total cost of material for bunny costumes?

Answers

Answer: $201.81

Step-by-step explanation:

The total amount of faux fur required is [tex]6(3.1)=18.6[/tex] square yards.

Multiplying this by $10.85 per square yard, we get the total cost is [tex](18.6)(10.85)=\$201.81[/tex]

The term "freshman 15" refers to the claim that college students typically gain 15lbs during freshman year at college. Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of 2.9 lb and a standard deviation of 10.4 lb. Find the probability that a randomly selected male college student gains 15 lb or more during their freshman year. What does the result suggest about the claim of the "freshman 15"?

Answers

The probability that a randomly selected male college student gains 15 lb or more during their freshman year is 11.6%

What is Probability ?

Probability is defined as the likeliness of an event to happen.

Let X be a random variable that shows the term "freshman 15" that claims that students typically gain 15lb during their freshman year at college.

It is given that

X follows is a normal distribution with a mean of 2.1 lb (μ) and a standard deviation (σ)  of 10.8 lb.

Population Mean (μ) = 2.1

Population Standard Deviation (σ) = 10.8

We need to compute Pr(X≥15). The corresponding z-value needed to be computed is:

[tex]\rm Z_{lower} = \dfrac{ X_1 -\mu }{\sigma}\\\\Z_{lower} = \dfrac{ 15-2.1 }{10.8}\\\\\\Z_{lower} = 1.19[/tex]

Then the probability is given as

[tex]\rm Pr(X \geq 16 ) = Pr (\dfrac{X -21}{10.8} \geq \dfrac{15-21}{10.8})\\\\= Pr (Z \geq \dfrac{15-2.1}{10.8}\\\\= Pr (Z\geq 1.19)\\\\ = 0.1162[/tex]

Pr(X≥15)=0.1162. (11.6%)

The probability that a randomly selected male college student gains 15 lb or more during their freshman year is 11.6%

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find x and y

pls help

Answers

Answer X=14, Y=55
See diagram
To find X, I know the angles will equal 180
110 + 5x = 180
Subtract 110 from both sides to isolate X
5x = 70, solve for X, divide both sides by 5
X = 14
Do the same for Y
We know the triangle will equal 180
So (5x) is (5x14= 70) and the other angle is 40.
180-40-70 = 70 for the unknown angle in the triangle.
We know the angles in the Y part of the question will equal 180 so
70 + 2y = 180, subtract 70 from both sides to isolate Y
2y = 110, now solve for Y by dividing both sides by 2
Y = 55

Angles on straight line = 180

110 + 5x = 180 degrees

-110

5x. = 70

÷ 5

x. = 14

5 x 14 = 70

Angles in triangle = 180

70 + 40 = 110

So, the missing angle inside the triangle is 70

Now to find y, use angles on straight line = 180

2y + 70 = 180

- 70

2y = 110

÷2

y = 55 degrees

Hope this helps!

The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below: A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 12, 24, 36, 48, 60, 72. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 1, 12. The second straight line joins 1,12 and 2,12 and the third straight line joins ordered pair 2,12 with the ordered pair 5,36. Which of the following best describes the motion of the car shown? It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours. It travels for 1 hour, then stops for 2 hours, and finally travels again for 5 hours. It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hour

Answers

The best description of the car's motion as shown in the graph is: A. It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.

How to Analyze a Distance-Time Graph?

In a distance-time graph, an horizontal line implies no distance was covered within that time frame, meaning there was a stop.

Thus, in the graph given, the stop occurred 1 and 2, which is equivalent to an hour. From 2 to 5 on the x-axis means there was movement for up to 3 hours.

Therefore, the best description is: A. It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.

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Other Questions
You are given the following information about the open economy of Macroland for 2014: - GDP $100 billion - Consumption $70 billion - Tax revenues $15 billion - Transfer payments $8 billion - Government spending $20 billion - Exports $10 billion - Imports $12 billion a. What is the level of investment spending in Macroland in 2014? b. What is the level of capital inflow for Macroland in 2014? Is Macroland borrowing from foreigners or lending to foreigners? Explain your answer. c. What is private savings equal to in Macroland in 2014? d. What is the government budget balance equal to in Macroland in 2014? e. Does national savings + capital inflow equal investment spending for this economy in 2014? Explain your answer. f. Is the government of Macroland saving or borrowing funds in 2014? Explain your answer. A compound has the formula X2Fe(CN)6 12H2O, where X is an unknown element. [3]If the compound is 45.34% water by mass, what is the identity of element X? use an exponential expression to calculate the area covered by purple loosestrife seven years from now. is this a valid prediction? What does this result tell you about the constraints on the exponential model? 1Select the correct answer.Claire lost weight with the support and encouragement of her friends. They helped her stick to a healthy diet and inspired her to engage inphysical exercise every day. Identify the factor that helped her lose weight.OA cultureB. heredityOC. physical environmentOD. social environment When two variables are being examined, and one variable moves one way and the other variable moves in the opposite direction, this is called a(n): To pay reparations after World War I, GermanyA. asked the United States to repay debts to Germany.B. printed more money.C. raised taxes on its residents.D. increased prices for food and goods. A sales tax imposed on sellers shifts the supply curve leftward for the taxed good because the. Jasmin belongs to the chess club on her campus. She prefers to associate with other members of the chess club while avoiding people that do not belong to this group. She thinks that those who do not play chess must be less intelligent than those who do, and thus she doesn't want to spend time with them. Jasmin has a(n) ________ bias. A mass of 26.1 g of an element is known to contain 6.87 x 1023 atoms. What is the atomic mass of the element pls help me in this i really need help :( :) What is typically responsible for forming volcanic island chains in the oceans?A. Shield volcanoesB. FissuresComposite volcanoesHot spot volcanism 3/a times x -4 equals 20 At which of the given values is the graph discontinuous?a. 7b. -2C. -4d. 0 A projectile is launched with a velocity of 13.2 m/s at an angle of 37.0 above the horizontal.How high above the point from which it was fired will the projectile be 1.0 s after firing?a.3.0 mb.12.8 mc.5.6 md.13.2 m Which strategy is most effective in minimizing political risks for a multinational corporation in situations in which the technology is unique and the If I have 8$and something 3$ how many change wil I get? Exercise 1: Give the correct forms of the verbs in the blankets.Question 1: When I______(see) you tomorrow, I______(tell) you my news.Question 2: By the end of the month the estate agent______(sell) twenty houses.Question 3: When I______(wait) for the bus, I saw my close friend.Question 4:______She______(study) English since she______(be) four years old.Question 5:______We______(study) while they are going out.Question 6: As soon as we______(get) there, we______(phone) for a taxi.Question 7:______He______(see) 10 mice when he______(come) into the room.Question 8: We went home when we______(finish) our work.Question 9: When I was going to the door, the phone______(ring).Question 10: I will go to the library before I______(do) the shopping.Question 11: At this time last night, I______(learn) while my father______ (watch) TVQuestion 12: He______(watch) TV when I come to see him.Question 13: He______(live) in New York for 4 years before he______(move) to New York.Question 14: We______(send) a report as soon as we______(finish) our work.Question 15: We______(wait) here until the rain______(stop).Question 16: He will go home as soon as he______(finish) his work.Question 17: At 11:30 tomorrow, we______(have) lunch in our friends house.Question 18: His health has improved since he______(return) from the hills.Question 19: The Chinese______(make) spaghetti dishes for a long time before Marco Polo______(bring) it back to Italy.Question 20: It is the first time he______(drive) a car.Question 21: I understand you ______(have) an unpleasant experience at the weekend. What exactly______(happen)?Question 22: "Good night. It______(be) nice to meet you," he______(say) and ______(go) off to his car.Question 23: I will graduate in June. I will see you in July. By the time I______(see) you, I______(graduate).Question 24: We______(already finish) that work by the time you get back.Question 25: When I arrived at the meeting, the first speaker just______(finish)speaking and the audience were clapping.Question 26: The traffic was very heavy. By the time I______(get) to Mary's party, everyone______(already arrive).Question 27: "You______(find) the key which you______(lose) yesterday?" "Yes. I______(find) it in the pocket of my other coat."Question 28: Tomorrow I'm going to leave for home. When I______(arrive) at the airport, Mary______(wait) for me.Question 29: Sarah has lost passport again. It is the second time this______(happen).Question 30: When the alarm rang, Jack______(jump) out of bed quickly.Question 31: It's no use getting impatient. The plane______(not arrive) until the weather______(clear) up.Question 32: John and I______(study) at the same school and we______(be) great friends ever since.Question 33: Don't wait up for me. I can't tell when I______(be) back.Question 34: Here you are! What you______(do) here at this time of night?Question 35: Good-bye, Ned. I never______(forget) you. I______(miss) you more than anyone I ever______(know) in my life.Question 36: The secretary______ (type) all the documents long before the manager comes.Question 37: You see, I______(do) this kind of thing for the last 30 years.Question 38: When we______(get) to the restaurant, we______(find) that nobody ______(remember) to reserve a table.Question 39: I could tell at a glance that the pile of letters on my desk______(disturb) while I______(be) out.Question 40: As soon as she arrived England, she______(find) that the language ______(be) quite different from the English that she______(learn) at school. Adrian brought snacks for his team's practice. He bought a bag of apples for $1.68 and a 12-pack of juice bottles. The total cost before tax was $10.92. How much was each bottle of juice HELP PLS ACELLUS IM ALMOST DONE W SUMMER SCHOOOL Consider the paragraph proof.Given: D is the midpoint of AB, and E is the midpoint of AC.Prove:DE = One-halfBCOn a coordinate plane, triangle A B C is cut by line segment D E. Point D is the midpoint of side A B and point E is the midpoint of side A C. Point A is at (2 b, 2 c), point E is at (a + b, c), point C is at (2 a, 0), point B is at (0, 0), and point D is at (b, c).It is given that D is the midpoint of AB and E is the midpoint of AC. To prove that DE is half the length of BC, the distance formula, d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot, can be used to determine the lengths of the two segments. The length of BC can be determined with the equation BC = StartRoot (2 a minus 0) squared + (0 minus 0) squared EndRoot, which simplifies to 2a. The length of DE can be determined with the equation DE = StartRoot (a + b minus b) squared + (c minus c) squared EndRoot, which simplifies to ________. Therefore, BC is twice DE, and DE is half BC.Which is the missing information in the proof?a4aa24a2