find the slope of the line on the graph write your answer as a whole number or a fraction not a mixed number or decimal

Find The Slope Of The Line On The Graph Write Your Answer As A Whole Number Or A Fraction Not A Mixed

Answers

Answer 1

Answer: 3/4

Step-by-step explanation:


Related Questions

Celia needs 75% of the marks in an exam to pass. She gets 4/5 of the marks. Does she pass the course? Show your working to justify your answer

Answers

Answer:

Yes, she passes with 80%

Step-by-step explanation:

4 divided by 5 = 0.8

0.8 multiplied by 100 = 80%

80% is greater than the required 75% needed to pass

Answer:

Yes

Step-by-step explanation:

First lets establish the key points

We know she needs 75% to pass and she gets 4/5 of the marks

Lets make 4/5 a decimal 4/5 X 2/2 is 8/10 better know as .8

.75 = 75%

.8 = 80%

80% > 75%

Meaning She PASSED!!!

If the hypotenuse of a 30-60-90 degree triangle is 14, what is the short leg?

Answers

Answer:

7 units

Step-by-step explanation:

The short leg is opposite the 30 degree angle

sin 30 = opposite side/ hypotenuse

         

Hypotenuse * sin 30 = opposite side = 14 * 1/2 = 7 units

Question:-
[tex] \dfrac{1}{2} + \dfrac{1}{4} [/tex]
Help!!
:"(














Answers

[tex]{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \red{ \dfrac{1}{2} + \dfrac{1}{4} = \dfrac{3}{4} }[/tex]

Step by step explanation :-

The only thing you have to do is add the numerator to the denominator, in this case you have to add the first ones from the front, which can be these 2+1/4, which would result in 3/4, and this is called the Commutative Property.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \gray{ \dfrac{1}{2} + \dfrac{1}{4} = \dfrac{1}{4} + \dfrac{1}{2} }}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \green{\dfrac{2 + 1}{4} = \dfrac{1 + 2}{4} }}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed {\bf \blue{\dfrac{3}{4} = \dfrac{3}{4}} }[/tex]

Answer :- The answer is 3/4

¿What is commutative property?

It is to change different ways in order of the addends the result would be the same.

Example :-

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed {\bf \blue{\dfrac{a}{b} + \dfrac{c}{d}} = {\dfrac{c}{d} + \dfrac{a}{b}} }[/tex]

I hope I've helped : )

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: Final \:\: value = \cfrac{3}{4}[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{1}{2} + \cfrac{1}{4} [/tex]

[ take LCM ]

[tex]\qquad \tt \rightarrow \: \cfrac{2}{4} + \cfrac{1}{4} [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{2 + 1}{4} [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{3}{4} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Account earns 8.5% interest. If you invest $6,609 now how much interest will you earn in 5years

Answers

Answer:

simple interest is $281(nearest whole number)

Step-by-step explanation:

S. I=PXTXR

100

P=$6609

T=5

R=8.5 or 85/10

S. I=6609X5X85

100X10

=280.8825

=281

Solve for x:

5(1 – x) = 20

x = __

Answers

[tex]5(1-x)=20\\5-5x=20\\5x=-15\\x=-3[/tex]

Hii!

__________________________________________________________

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}}}\circ\leftharpoonup[/tex]

The value of x is -3! ^^

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}}}\circ\leftharpoonup[/tex]

[tex]\bullet[/tex] First multiply 5 times 1 and -x

[tex]\twoheadrightarrow\sf 5(1-x)=20[/tex]

[tex]\twoheadrightarrow\sf 5-5x=20[/tex]

[tex]\bullet[/tex] Now subtract 5 from both sides

[tex]\twoheadrightarrow\sf -5x=15[/tex]

[tex]\bullet[/tex] Now divide both sides by -5

[tex]\twoheadrightarrow\sf x=-3[/tex]

--

Hope that this helped! Best wishes.

--

Giving the brainliest to those who answer!

Answers

I think the answers B - could be wrong tho
The answer would be B the value decreases each year by &500

3 more than half a number​

Answers

Answer
1/2n + 3
Or
1/2x + 3

Answer:

3 + a/2

Step-by-step explanation:

3 + a/2

meijun had some money. she used 1/3 of it on a watch and 1/9 of it on a gift. the watch and the gift cost $144 altogether. how much money did she have at first?

Answers

Answer:

$324

Step-by-step explanation:

let x be the amount of money she had at first , then

[tex]\frac{1}{3}[/tex] x + [tex]\frac{1}{9}[/tex] x = 144 ( multiply through by 9 to clear the fractions )

3x + x = 1296

4x = 1296 ( divide both sides by 4 )

x = 324

she had $324 at first

...............
................ ​

Answers

Let the numbers be x and x/7

Now

sum=824x+x/7=8248x/7=8248x=824(7)8x=5768x=721

The numbers are

721 and 721/7=103

Answer:

7x+X=824

8X/8=834/8

x=108

Step-by-step explanation:

hope I helped

Solve the following subtraction problem. Remember to borrow as necessary.
9cu yd113cu in
− 4cu ft129cu in
−−−−−−−−−−−−−−−−−−−−−−

Answers

The subtraction of the expression will be 238 cubic feet, 551 cubic inches.

What is subtraction?

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

The expressions are given below.

9 cubic yd 113 cubic in and 4 cubic ft 129 cubic in

1 cubic yard = 27 cubic feet

1 cubic feet = 1728 cubic inches

Then the subtraction will be

    242 cu ft 1841 cu in

   −   4 cu ft 1290 cu in

   238 cu ft 551 cu in

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If f(n)= n²-n, then f(-4) is
O-20
12
-12
20

Answers

Answer:

20

Step-by-step explanation:

Plug in -4 for n:

(-4)^2 - (-4) = 16 + 4 = 20

What is 4 third written in expanded form

Answers

The answer is D: 4x4x4
D: 4•4x4 is the correct answer

I also dont get this :(

Answers

An equation is formed of two equal expressions. If x is increased by 5 then the value of y is increased by 10.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that y=2x+1, now if the value of x increased by 5. then the value of y will be,

[tex]y_1=2(x+5)+1\\y_1 = 2x + 11[/tex]

Now if we compare y and y₁, then it can be said that if x is increased by 5 then the value of y is increased by 10.

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If angle 1= 105°, angle 12= (3x + 15)°, and angle 7 = (8y-5)°, determine the values
of x and y?

Answers

The value of the variable x is 30° and the value of the variable y is 10°.

The missing diagram is attached below.

What is an angle?

The angle is the distance between the intersecting lines or surfaces.

Corresponding angle – If two lines are parallel, then the third line. The corresponding angles are equal angles.

Vertically opposite angle – When two lines intersect, then their opposite angles are equal.

Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.

If angle ∠1 = 105°, angle ∠12 = (3x + 15)°, and angle ∠7 = (8y-5)°.

∠1 = ∠5 = ∠9 = 105° (corresponding angles)

∠1 = ∠4 = 105° (Vertical opposite angles)

∠1 + ∠2 = 180° (linear angle)

       ∠2 = 75°

∠2 = ∠3 = 75° (Vertical opposite angles)

∠3 = ∠8 = ∠12 = 75° (corresponding angles)

Then the value of x and y will be

   ∠9 = ∠12

   ∠1 = ∠12

105° = (3x + 15)°

  3x = 90°

    x = 30°

∠6 = ∠7

75° = (8y – 5)°

8y = 80°

  y = 10°

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A paramedic maintains a time card for hours she works on the rescue squad. How many hours did she work per week ?

Answers

39 hours;  she works per week if the paramedic maintains a time card for hours she works on the rescue squad.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

A paramedic maintains a time card for the hours she works on the rescue squad shown in the table:

We can write a mixed fraction in a fraction:

6 1/2 = 13/2

8 1/2  = 33/2

7 3/4 = 31/4

8 1/12 = 97/12

8 5/12 = 101/12

Adding all the fractions:

[tex]=\rm \dfrac{13}{2}+\dfrac{33}{4}+\dfrac{31}{4}+\dfrac{97}{12}+\dfrac{101}{12}[/tex]

[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{97}{12}+\dfrac{101}{12}[/tex]

[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{198}{12}[/tex]

[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{33}{2}[/tex]

[tex]=23+\dfrac{64}{4}[/tex]

= 39 hours

Thus, 39 hours;  she works per week if the paramedic maintains a time card for hours she works on the rescue squad.

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can someone turn the equation 3−2=13 into a word problem. (i already know answer)

Answers

The word problem for given equation is : When 3 is multiplied with x and subtracted by 2 multiplied by y , the number obtained is 13. Solve the equation for x =1 .

The complete equation will be 3x - 2y =13

What is an Equation ?

When an algebraic expression is equated by an equal sign to a constant or any other algebraic expression , then an equation is formed .

The equation given in the question is

3x-2y =13

When 3 is multiplied with x and subtracted by 2 multiplied by y , the number obtained is 13. Solve the equation for x =1 .

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You have loaned a friend $100 and will charge him 5% annua simple interest when he pays it back.

Answers

The annual interest would be $5 if you have loaned a friend $100 and will charge him 5% annually and the total amount would be $105.

What is simple interest?

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount of borrowed amount.

We have:

You have loaned a friend $100 and will charge him 5% annually.

As we know:

A = P(1 + rt)

P = $100

r = 5% = 0.05

t = 1 years

A = 100(1 + 0.05×1)

A = $105

I = A - P = 105 - 100 = $5

Thus, the annual interest would be $5 if you have loaned a friend $100 and will charge him 5% annually and the total amount would be $105.

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find the distance between the pair of points (7,6) and (4,10)​

Answers

Answer:

5 units

Step-by-step explanation:

to find out the answer for this you must first find the distance between 7 and 4 and then 6 and 10

then you would square them and then add them

lastly you would take the square root of that and youd have your answer

so

7 - 4 = 3

6 - 10 = -4 (just use 4)

3^2 + 4^2 = 9  + 16 = 25

then you take the square root of this

sqrt(25) = 5

that is your answer

To solve this problem, you will use the Distance Formula to find the distance between two coordinate points.

Set Up the Distance Formula

The Distance Formula is defined as follows:

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

We must title our points by the standard coordinate naming system:

[tex](x_1, y_1) \ \text{and} \ (x_2, y_2)[/tex]

Therefore, our points can be labeled:

[tex]x_1 = 7[/tex][tex]y_1 = 6[/tex][tex]x_2 = 4[/tex][tex]y_2 = 10[/tex]

Substitute Known Values for Variables

Now, substitute the known values as the variables in the Distance Formula:

[tex]d=\sqrt{(4 - 7)^2 + (10 - 6)^2}[/tex]

You must know the BPEMDAS acronym, which stands for:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Simplify the expression using BPEMDAS:

[tex]d=\sqrt{(-3)^2 + (4)^2}[/tex]

Remember that when a number is raised to the 2nd power, it is the same thing as multiplying the number by itself:

[tex]-3\times-3 = 9[/tex]

[tex]4\times4=16[/tex]

Simplify further by removing the parentheses:

[tex]d=\sqrt{9+16}[/tex]

Compute the additive operation:

[tex]d=\sqrt{25}[/tex]

Simplify the Radicand

The number that is placed inside of a square root symbol (or a radical symbol) is referred to as the radicand.

In this situation, the radicand is 25.

To simplify the radicand, you may either use a calculator to compute the result, or you can determine which number raised to the 2nd power will result in a final answer of 25.

In this case, we can determine that 5² will result in a final answer of 25.

[tex]5^{2} = 25[/tex]

The final answer is 5 units.

Determine whether each ordered pair is a solution to the inequality x+5y<2.



Select all that apply:

(−8,−1)
(−1,0)
(4,2)
(9,6)
(0,10)

Answers

Two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

Given inequality is:-

x + 5y  <  2.

We will check all the points for the inequality:-

(−8,−1) →  x + 5y  <  2.  →  -8 +(5 x -1) < 2  →  -13 < 2 It is inequality

(−1,0)   → x + 5y  <  2   →   -1 < 2 It is inequality

(4,2)    → x + 5y  <  2   →    14 < 2  wrong

(9,6)    → x + 5y  <  2   →    39 < 2 wrong

(0,10)  →  x + 5y  <  2  →    50 < 2 wrong

Therefore the two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

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4x+7-(x+6)=68
Solve.

Answers

[tex]4x + 7 - (x + 6) = 68 \\ \\ 4x + 7 - x - 6 = 68 \\ \\ 3x + 1 = 68 \\ \\ 3x = 68 - 1 \\ \\ 3x = 67 \\ \\ x = \frac{67}{3} \\ \\ x = 22.3[/tex]

The value of x is 67/3 or 22.3 .

Hi!

__________________________________________________________

[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]

x=

[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]

First let's distribute the minus sign.

[tex]\twoheadrightarrow\sf 4x+7-x-6=68[/tex]

[tex]\bullet[/tex] Add 6 to both sides

[tex]\twoheadrightarrow\sf 4x+7-x=74[/tex]

[tex]\bullet[/tex] Subtract the x's

[tex]\twoheadrightarrow\sf 3x+7=74[/tex]

[tex]\bullet[/tex] Subtract 7 from both sides

[tex]\twoheadrightarrow\sf3x=67[/tex]

[tex]\bullet[/tex] Divide both sides by 3

[tex]\twoheadrightarrow\sf x=\cfrac{67}{3}[/tex]

[tex]\bullet[/tex] Great job! We solved for the variable

--

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]

--


What is the rule for the reflection?
rx-axis (x, y) - (-x, y)
ry-axis (x, y) (-x, y)
rx-axis (x, y) - (x, y)
ry-axis (x, y) (x, −y)

Answers

When reflected over ry-axis (x, y) (-x, y) , rx-axis (x, y) (x,-y) , Option A and D is the correct answer.

What is rule for the reflection ?

The rule for reflection is when an object or a coordinate point is reflected over x axis then the coordinate of the x axis remains the same while the y coordinate changes to be additive inverse.

Vice Versa happens when reflected over y axis.

So,

rx-axis (x, y) - (-x, y) --> (x,-y)

ry-axis (x, y) (-x, y)

Therefore Option A and D is the correct answer.

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Answer: its A not A & D

Step-by-step explanation:

A man wants to cut down a tree in his yard. To ensure that the tree doesn’t hit anything, he needs to know the height of the tree. He measures the distance from the tree at 14 m and the angle of elevation to the tree at 88°. What is the height of the tree to the nearest tenth of a meter

Answers

Answer:

400.9 m

Step-by-step explanation:

0000
O
1. Simplify 3 + 2 - 1
+6
2-5
03 A
О 25

Answers

Answer:

10

Step-by-step explanation:

3+2-1+6=5-1+6=4+6=10

Find two positive numbers such that their sum is 60 and their product is a maximum. Select one: O a. 30 and 30 O b. 25 and 35 O c. 1 and 59 O d. 20 and 40​

Answers

Answer:

B: 25 and 35

Step-by-step explanation:

25 product 35 875

A. 30 x 30 = 900
B. 25 x 35 = 875
C. 1 x 59 = 59
D. 20 x 40 = 800

The biggest product is for 30 and 30

If you call one number x the other will be 60 - x
Product = x(60 - x) = 60x - x^2
This is a parabola with roots at 0 and 60
The maximum product is halfway between 0 and 60 ie when x = 30

7. Sapna travelled 48 km to meet her parents. She travelled the first 18 km by car and the remaining distance by train. Find the fraction of the journey sapna travelled by car and train​

Answers

The fraction of the journey Sapna traveled by car and train is 3/8 and 5/8 respectively.

We know that fraction is an expression in mathematics used to denote the division of two whole numbers.

Given that the total distance = 48 km.

The distance Sapna traveled by car = 18 km.

So, the fraction is = distance traveled by car/total distance = 18/48 = 3/8

The distance Sapna traveled by train = 48 - 18 km = 30 km.

So, the fraction is = distance traveled by train/total distance = 30/48 = 5/8

Therefore the fraction of the journey Sapna traveled by car and train is 3/8 and 5/8 respectively.

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Please Expand the following:

3q(r – 2q)

Answers

Answer:

3qr - 6q²

Step-by-step explanation:

3q(r - 2q) ← multiply each term inside the parenthesis by 3q

= 3qr - 6q²

Answer:

3qr – 6q²

Step-by-step explanation:

3q(r – 2q)

E X P A N D I N G :-

3qr – 6q²

Students returning to a secondary school have to pass through a check point at the rate of 50 per though. The average time for checking is 35 seconds. The arrival rate and service rate follow a Poisson distribution. There is a delay and the principal is willing to include another check point to reduce the average time of checking to 28 seconds if the idle time is less than 10% and the average queue length is more than 10 students, check whether the introduction of an extra check point is justifiable.

Answers

I think its 101010183727382

The average queue length is greater than 10 students, the introduction of an extra checkpoint is justifiable.

How to explain the information?

Since the arrival rate and service rate follow a Poisson distribution, we can use the Poisson arrival rate formula to calculate the average queue length.

Average queue length = (arrival rate * service time) / (1 - arrival rate * service time)

For the given problem, the average queue length is:

Average queue length = (50 * 35) / (1 - 50 * 35)

= 175

Since the average queue length is greater than 10 students, the introduction of an extra checkpoint is justifiable.

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The power 3 Superscript negative 3 equals StartFraction 1 Over 27 EndFraction . Which expression is equivalent to 3 Superscript negative 3?

Answers

Applying the negative exponent, it is found that the equivalent expression to [tex]3^{-3}[/tex] is [tex]\frac{1}{27}[/tex].

How to deal with a negative exponent?

When we have a negative exponent, we use a fraction, with the term with the exponent going to the denominator, as follows:

[tex]a^{-b} = \frac{1}{a^b}[/tex]

Hence, in this problem, the equivalent expression is:

[tex]3^{-3} = \frac{1}{3^3} = \frac{1}{27}[/tex]

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A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 80% salt. She wants to obtain 120 ounces of a mixture that is 70% salt. How many ounces of each solution should she use?

Answers

We can use these variables:

A = number of ounces for solution A
B = Number of ounces for solution B

A + B = 20

Now, we can use decimal conversions.

0.65A + 0.80B = 0.70(120)

Next step: We substitute A into 120 - B to show their relationship.

0.65(120 - B) + 0.80B = 84

Now onto the next equation:

78 - 0.65B + 0.80B = 84
0.80 - 0.65 = 0.15, so…

0.15B = 84 - 78
0.15B = 6
B = 6 divided by 0.15
B = 40 ounces

To find A, we can simply plug B into the starting equation.

A = 120 - 40
A = 60 ounces

Your final answer: The scientist should use 60 ounces of solution A and she should use 40 ounces of solution B. Yeah

PLEASE HELP!!!!

Which operation should you perform last in the expression 3^2 + 2?

Answers

Answer: the +2

Step-by-step explanation: PEMDAS. Exponents are before addition in the sequence. I hope this helps!

(The E standing for exponents and the A standing for addition)

Other Questions
Think of the most deafening sound you can imagine. Describe it in great detail, and have your character hear it for the first time at the start of a story. Please write at least 150 words thank you When Walter says: "That money was made out of my father's flesh", he means...Select one:a. his father worked hard and saved it.b. his father sold out his dreams to earn it.c. it was all his father had to show for his life, a life insurance check received due to his death.d. All of the abovee. None of the above Bacteria are ____________ organisms lacking membrane-bound organelles. ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. In working this problem, assume the value of "g" to be 9.8 m/s2 with two (2) significant digits unless otherwise stated. Calculate the increase in potential energy of a 60.0-kg man who climbs a ladder 10.0 meters high. 588060058,800 A few decades ago, the media system centered on broadcast news networks, but Americans now have a ______ media system, where they can pick from a wide variety of outlets. What is the molar concentration ofa solution that contains5.0 mol HCl in a total volumeof 10.0 L? American History 1 - Writing workshop: summarizing a leader's impact.Write an informative essay that summarizes the effects of the events of the Expansion and Reform era. The essay should have three short body paragraphs, each with a key detail, a connection, and a conclusion.Notable Expansion and Reform events:Indian Removal ActAbolition movementThe American systemVoting rightsNativismNew technology Carmen drew this figure to represent the dividend of a division expression.A number line going from negative 4 to positive 12. An arrow goes from 0 to 9.What number is represented by the arrow? What is product positioning?A. The set of plans for product, price, place, and promotion that themarketer will useB. The process of dividing up a total market into groups (segments)with similar needs and buying behaviorsOC. The use of names and symbols to identify the company's productsD. A definition of how the company intends for customers to view itsproduct relative to the competitionSURMIT Questions: 1. A table of weight 500N has four legs covering a total area of 0.5m. Calculate the pressure applied by the table on the ground 2. A man with a mass of 50kg, is standing on the ground. His two feet cover an area of 0.01m. calculate the pressure exerted by his two feet 3. An elephant has a weight of 40000N and her feet cover a total area of 0.5m. A woman weighs 600N and area of her heels in contact with the ground is 0.0075m. Who exerts the greatest pressure on the ground? Write complete sentences by putting the phrases in the correct order. your sentences should use all of the phrases in the first box. make sure you use reflexive verbs correctly. follow the example. la seguridad nacional le preocupa al gobierno porque hay muchos terroristas A 43-year-old woman presents to the Emergency Department for evaluation of right upper quadrant abdominal pain that started approximately 2 hours ago, after Thanksgiving dinner. She reports the pain started suddenly and she describes it as a steady, deep aching sensation. She denies fever, chills, nausea, vomiting, unexpected weight changes, or changes in bowel or bladder habits. She reports a similar episode approximately 2 months ago; it was self-limiting, occurring after eating fast food and lasting only about one hour. Vital signs are unremarkable. Physical exam reveals moderate tenderness upon palpation of the right upper quadrant with radiation of the pain to the right shoulder. No rebound or guarding are present and bowel sounds are normoactive. Urinalysis is negative for evidence of infection or hematuria. While waiting for abdominal imaging, the patient reports complete resolution of her symptoms. What is the most likely diagnosis The relentless growth of the slave trade suggests that the population of Africa during the eighteenth century wasA. decreasing in East Africa, but rising in western Africa.B. stagnant throughout the African continent.C. decreasing only in West Africa, but stagnant elsewhere.D. increasing throughout the African continent. Soli reaction is ______ According to the theory of liquidity preference, holding the supply of real money balances constant, an increase in income will ______ the demand for real money balances and will ______ the interest rate. Describe the circumstances under which police officers may conduct searches or seize property legally Within a ________________________ economy, we often see both producers and consumers responding to the incentive of price changes. Perform the following mathematical operation and report answer to the correct number of significant figures 143.6 divided by 21.2 Please help and show the steps.How do you figure out the equation to graph itg(x)=(x-1)^2-1 If mB = 46, and mD = 67, what is mBEA?674688134