Mehrine and Zaara brought an equal amount of money to the shopping mall. Mehrine spent Rs 500 on a pair of shoes and Zaara bought a dress for Rs 2000. After their shopping, Zaara has ⅔ of what Mehrine had left. How much money did Mehrine bring for shopping?​

Answers

Answer 1

Answer:

Rs5000

Step-by-step explanation:

Let the equal amount of money they both brought = x

Mehrine spent Rs 500 on a pair of shoes, therefore, the money Mehrine has left

= x-500

Zaara bought a dress for Rs 2000, therefore, the money Zaara has left

= x-2000

Zaara has ⅔ of what Mehrine had left.

Therefore:

[tex]x-2000=\dfrac{2}{3} (x-500)[/tex]

Cross multiply

3(x-2000)=2(x-500)

3x-6000=2x-1000

3x-2x=6000-1000

x=5000

Therefore, Mehrine brought Rs5000 for shopping.


Related Questions

Which statement about the function is true?
The graph of the function f(x) = (x - 4)(x + 1) is shown
below.
The function is increasing for all real values of x
where
x<0.
O The function is increasing for all real values of x
where
x < -1 and where x>4
6
4-
2
O The function is decreasing for all real values of x
where
-1<x<4.
The function is decreasing for all real values of x
where
x < 1.5.
2
4
6
-6-4-2
-2
X
27
4
6​

Answers

Answer:

The correct option is:

The function is decreasing for all real values of x where x < 1.5.

Step-by-step explanation:

We are given a function f(x) which is a product of two linear polynomial as:

Now, we know that on multiplying the two linear polynomial we will obtain a quadratic polynomial.

So, the function f(x) will be represented as:

So, we will plot the graph of the function and check which statements about the function hold true.

1)

The function is increasing for all real values of x where x < 0.

This statement is false.

Since we get from the graph that function f(x) is decreasing for x<0.

2)

The function is increasing for all real values of x where x < –1 and where x > 4.

This option is incorrect as the function is decreasing for x<-1

whereas it is increasing for x>4.

3)

The function is decreasing for all real values of x where –1 < x < 4.

This option is incorrect.

Since, the function is both decreasing as well as increasing in the interval (-1,4).

4)

The function is decreasing for all real values of x where x < 1.5.

This option is correct.

Since it could be observed from the graph that the function is decreasing for x<1.5.

Find the missing segment in the attached image

Answers

Answer:

The length of the missing segment is 24

Step-by-step explanation:

Given

The figure above

Required

Determine the missing segment

Let the missing segment be represented with x

Given that, there exist parallel lines between the two triangles;

The relationship between the sides of the triangles is as follows;

[tex]\frac{15}{x} = \frac{15+5}{8+x}[/tex]

[tex]\frac{15}{x} = \frac{20}{8+x}[/tex]

Cross Multiply

[tex]15 * (8 + x) = 20 * x[/tex]

Open bracket

[tex]15*8 + 15 * x = 20 * x[/tex]

[tex]120 + 15x = 20x[/tex]

Subtract 15x from both sides

[tex]120 + 15x -15x= 20x-15x[/tex]

[tex]120 = 20x-15x[/tex]

[tex]120 = 5x[/tex]

Divide both sides by 5

[tex]\frac{120}{5} = \frac{5x}{5}[/tex]

[tex]\frac{120}{5} = x[/tex]

[tex]24 = x[/tex]

[tex]x = 24[/tex]

Hence, the length of the missing segment is 24

WILL AWARD BRAINLIEST

HELP FAST

Figure ABCD is a parallelogram.
What is the value of x?
A
B
6
7
5x + 3
8
38
9
D
с

Answers

Answer:

hope it helps uh.......

Jalen and Monique will usually both run 7.5 miles each time they go running. This month, Jalen ran an additional 32 miles. Which answer choice shows an expression that represents the total distance Jalen and Monique ran this month if j = the number of times that Jalen ran and m = the number of times that Monique ran?
1 .15j + 15m
2. 15jm
3. 7.5j + 7.5m + 32
4. 7.5jm + 32

Answers

Answer:

Option 3.

Step-by-step explanation:

It is given that Jalen and Monique will usually both run 7.5 miles each time they go running.

Let,

j = the number of times that Jalen ran.

m = the number of times that Monique ran.

So,  according to this

Distance covered by Jalen in this month = 7.5j

Total distance covered by Monique in this month = 7.5m

It is given that this month, Jalen ran an additional 32 miles.  

Total distance covered by Jalen in this month = 7.5j +32

The total distance Jalen and Monique ran this month is

[tex]Distance=7.5j+7.5m+32[/tex]

Therefore, the correct option is 3.

Answer:

3. 7.5j + 7.5m + 32

Step-by-step explanation:

What exactly is a 'Factorial'? Give Brainlist to the finest answer

Answers

hi

It's a kind of multiplication where you do a serie of multiplication starting from your number until one.   It written with a  "!" after the number.

ex :    3! =  3*2*1  = 6

      10! = 10*9*8*7**6*5*4*3*2*1 = 2628800

Answer:

answer is below

Explanation:

A factorial multiplies a number by the numbers below it. A factorial also acts as a function.

An example of a factorial can be:

[tex]5!=5 \times 4 \times 3 \times 2 \times 1[/tex]

[tex]5!=120[/tex]

Factorial of zero is defined as 1.

What is the surface area of a cylinder
396 pi ft^2
180 pi ft^2
192 pi ft^2
252 pi ft^2

Answers

Answer:

252pi ft^2

Step-by-step explanation:

The surface area of a cylinder is given by

SA = 2 pi r^2 + 2pi rh

The diameter is 12 so the radius is 12/2 = 6

     = 2 pi (6)^2  +2 pi *6*15

    = 72 pi + 180pi

    = 252pi ft^2

5.
Solve the inequality.
9 +6 > 5
9 > 11
g > 1
g> -1

Answers

Answer: g> -1

Step-by-step explanation:

The given inequality is [tex]g+6>5\ .[/tex]

To solve the above inequality for g, we just need to remove 6 from the left side by subtracting it, for that we have to subtract 6 from both the sides, we get

[tex]g+6-6>5-6\\\\\Rightarrow\ g>-1[/tex]

i.e. The value of g is strictly greater than -1.

Hence, the correct answer is g> -1.

Subtraction Property of Inequality says that if the same number is subtracted from both sides on the inequality then the sense (equality symbol) of the inequality remains unchanged.

What is the perimeter of this polygon?
(2,3)
(-4, 2)


(3,-2)
(-2, -3)
A. 25.5 units
B. 21.7 units
O C. 24.4 units
D. 22.8 units

Answers

The answer to this question is D

CORRECT ANSWER GETS BRAINLIEST!! PLSS HELP!!!

Answers

Answer:

Method: Roll, pick, and replace a marble 70 times. Count the number of times you... Roll greater than 2 and pick a yellow marble.

Step-by-step explanation:

Please help me find the surface area please?????

Answers

Answer: 4032 squared feet

Step-by-step explanation:

1. Identify the figure. Rectangular Pyramid

2. Find the area of the four triangle faces.  1/2*47*32 = 752. Then, 752*4 = 3008.

3. Find the area of the rectangular base. 32*32 = 1024

4. Add the areas together, 3008+1024 = 4032

Choose the word that has the same connotation as the word fouled

Answers

Answer:

contaminated

Step-by-step explanation:

The word fouled is used in the "The grapes of wrath"

where in writer says that "the water fouled the ignition wire and water fouled the carburetors".

In this context fouled means that some impurity is being added to the carburetor and wire frames.

Hence the best suitable word from the option will be "contaminated".

Contamination means " the act of making anything impure "

310
Which law would you use to simplify the expression
quotient of powers
power of a quotient
product of powers
power of a product

Answers

power of a quotient

edge 2021

The law used to simplify the expression is quotient of powers.

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, 3¹⁰ / 3⁴, we need to determine the law used to simply the expression,

3¹⁰ / 3⁴

For this case we have an expression formed by a division of powers of the same base in which we must apply a law to simplify said expression.

By the definition we have the property of the power quotient of the same base set:

xᵃ / xᵇ = x⁽ᵃ⁻ᵇ⁾

So, using the same,

3¹⁰ / 3⁴ = 3⁽¹⁰⁻⁴⁾ = 3⁶

Thus, to simplify the expression we must use the property of the power quotient of the same base.

Hence, the law used to simplify the expression is quotient of powers.

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Solve equation by using the quadratic formula.
15x2 + 13x = 0
13
x = -—,0
15
a.
C.
13
x= —.0
15
b. x=0
d.
13
x=+—
15

Answers

Answer:

Step-by-step explanation:

Here the coefficients of the x terms in this quadratic are a = 15, b = 13 and c = 0.  The discriminant is b^2 - 4ac, or 13^2 - 4(15)(0) = 169 - 60, or 109.

The solutions are:

      -13 ± √109

x = -----------------

             30

Hence, the roots of the quadratic equation is

[tex]x=0,x=-\frac{13}{15}[/tex]

What is the quadratic equation?

A quadratic equation is any equation that can be rearranged in standard form as + or offer insight into other areas of mathematics.

Here given equation is [tex]15x^2+13x=0[/tex].

As the general formula is

[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}\\\\[/tex]

Here, [tex]a=15,b=13[/tex]

Substituting these values in general formula

[tex]x=\frac{-13+-\sqrt{(13)^2-4(15)(0)}}{2(15)}\\\\x=\frac{-13+-\sqrt{169-0}}{30}\\\\x=\frac{-13+-\sqrt{169}}{30}\\\\x=\frac{-13+-13}{30}\\\\\\x=\frac{-13-13}{30},x=\frac{-13+13}{30}\\\\x=\frac{-26}{30},x=0\\\\x=\frac{-13}{15},x=0[/tex]

Hence, the roots of the quadratic equation is

[tex]x=0,x=-\frac{13}{15}[/tex]

To know more about the quadratic equation

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What is the cost of an $8,000 car including 5½% tax?

Answers

Answer:

Car Price:

$8,000.00

Interest Paid:

$492.48

Sales Tax:

$448.00

Total Cost:

$8,940.48

Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y - 5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that
represents Angelo's second cut.
PLEASE HELP!

Answers

Answer:

y=5x+6

Step-by-step explanation:

Please see attached

What is the inverse of the function f(x)= 1/4x-12

Answers

Answer:

The inverse is 4x+48

Step-by-step explanation:

y = 1/4x - 12

Exchange x and y

Solve for y

x = 1/4y -12

Add 12 to each side

x+12 = 1/4 y -12+12

x+12 = 1/4y

Multiply each side by 4

4(x+12) = 4*1/4y

4x+48 = y

The inverse is 4x+48

Answer:

4x + 48

Step-by-step explanation:

f(x) = 1/4x-12

y = 1/4x - 12

Switch variables.

x = 1/4y - 12

Solve for y.

x = 1/4y - 12

Add 12 on both sides.

x + 12 = 1/4y - 12 + 12

x + 12 = 1/4y

Multiply both sides by 4/1.

4/1(x + 12) = 1/4y × 4/1

4x + 48 = y

Find the missing length indicated.

Answers

Answer:

x=60

Step-by-step explanation:

in similar triangles ratio of sides is equal.

[tex]\frac{100}{x} =\frac{x}{36}\\x^{2} =100 \times 36\\x=10 \times 6=60[/tex]

The ratio of the corresponding sides of the triangle is constant. Then the missing length x is 60 units.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

The ratio of the corresponding sides of the triangle is constant.

100 / x = x / 36

      x² = 100 x 36

      x² = 3600

        x = 60

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Find the solution(s) to 22 +57-3 = 0. Check all that apply.
DAX=3
O B x=-3
O x=2
Ex=-
SU

Answers

Answer:

x = -3 and x = 1/2

Step-by-step explanation:

To find the solutions to

2x² + 5x - 3 = 0

we can use the quadratic formula, as follows:

[tex] x = \frac{-b \pm \sqrt{b^2- 4(a)(c)}}{2(a)} [/tex]

[tex] x = \frac{-5 \pm \sqrt{5^2- 4(2)(-3)}}{2(2)} [/tex]

[tex] x = \frac{-5 \pm 7}{4} [/tex]

[tex] x_1 = \frac{-5 + 7}{4} [/tex]

[tex] x_1 = 0.5 [/tex]

[tex] x_2 = \frac{-5 - 7}{4} [/tex]

[tex] x_2 = -3 [/tex]

What's true about a regular polygon?
Both the angles and sides are congruent.
None of these.
Only the sides are congruent.
Only the angles are congruent.

Answers

Answer:

Both the angles and sides are congruent.

Step-by-step explanation:

Regular polygons are considered to be equiangular and equilateral.

This means regular polygons have angles and sides that are all congruent.

Thanks to Rococo908, Both the angles and sides are congruent.

Solve the geometric probability scenario that you created for question #1. Include all appropriate geometric formulas, and when applicable, leave your answer in terms of and include all necessary calculations.

Answers

Answer:

π/100

Step-by-step explanation:

"A baseball is hit inside a baseball diamond with a length and width of 90 feet each.  What is the probability that the ball will bounce on the pitcher's mound, if the diameter of the mound is 18 feet?  Assume that the ball is equally likely to bounce anywhere in the infield.  When applicable, leave your answer in terms of π and include all necessary calculations."

The probability that the ball lands in the pitcher's mound is:

P = area of mound / area of field

P = πr² / s²

P = π (9)² / (90)²

P = π/100

If the diameter of the mound is 18 feet then the probability that the ball will bounce on the pitcher's mound will be π/100.

How to find the geometric probability?

When probability is in terms of area or volume or length etc geometric amounts (when infinite points are there), we can use this definition:

E = favorable event

S = total sample space

Then:

[tex]P(E) = \dfrac{A(E)}{A(S)}[/tex]

where A(E) is the area/volume/length for event E, and similar for A(S).

The probability that the ball lands in the pitcher's mound is,

P = area of mound / area of field

P = πr² / s²

P = π (9)² / (90)²

P = π/100

Hence, the probability that the ball will bounce on the pitcher's mound will be π/100.

The complete quesiton is

"A baseball is hit inside a baseball diamond with a length and width of 90 feet each.  What is the probability that the ball will bounce on the pitcher's mound, if the diameter of the mound is 18 feet?  Assume that the ball is equally likely to bounce anywhere in the infield.  When applicable, leave your answer in terms of π and include all necessary calculations."

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7 - x + (2 - 3x + 5y)

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

9 - 4x + 5y

▹ Step-by-Step Explanation

7 - x + (2 - 3x + 5y)

Remove the parentheses

7 - x + 2 - 3x + 5y

Collect like terms

9 - x - 3x + 5y

Final Answer

9 - 4x + 5y

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parabola. The equation for this parabola is y = -x2 + 36. Graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. Analyze the two functions. Answer the following reflection questions in complete sentences. What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not? What are the x- and y-intercepts of the rainbow? Explain what each intercept represents. Is the linear function you created with your table positive or negative? Explain. What are the solutions or solution to the system of equations created? Explain what it or they represent. Create your own piecewise function with at least two functions. Explain, using complete sentences, the steps for graphing the function. Graph the function by hand or using a graphing software of your choice (remember to submit the graph).

Answers

Answer:

what is this

Step-by-step explanation:

oof

Will give you brainiest

Answers

Answer:

[tex]\boxed{<a = 62 degrees}[/tex]

[tex]\boxed{<b = 118 degrees}[/tex]

Step-by-step explanation:

A) If AB is a diameter, Then ACB is a 90 degrees angle because In a semi-circle (AB is a diameter which divides the circle into 2 equal parts), the angle opposite to the diameter is of 90 degrees.

So, <ACB = 90 degrees

Then <a = 180-90-28

=> <a = 62 degrees

B) The opposite interior angles of a quadrilateral inscribed in a circle add up to 180 degrees.

So,

=> <a + <b = 180

=> <b = 180-62

=> <b = 118 degrees

Find the y-intercept and x-intercept of the line.
-x+4y = 8

Answers

Answer:

x-intercept(s):  ( − 8 , 0 )

y-intercept(s):  ( 0 , 2 )

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0 for  x  and solve for  y.

1) Explain the Distributive Property in your own words.

2) Give an example that shows how to use the Distributive Property to rewrite a one-variable expression.

Answers

Answer:

The Distributive Property states that when a number in parentheses is next to a number, you distribute the number outside of the parentheses and multiply by each of the numbers in parentheses.

5(10+x)=5(10)+5(x)=50+5x

:)

PLSSSSS HELP!!
The graph below shows the price of different numbers of mats at a store: A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 21, 42, 63, 84, and 105. Points are shown on ordered pairs 0, 0 and 2, 21 and 4, 42 and 6, 63 and 8, 84. These points are connected by a line. The label on the x axis is Number of Mats. The title on the y axis is Price in dollars. Which equation can be used to determine p, the cost of b mats? p = 10.50 + b b = 10.50 + p b = 10.50p p = 10.50b

Answers

Answer:

p = 10.5b

Step-by-step explanation:

The equation has this form:

y = ax+c

a = [tex]\frac{21-0}{2-0}[/tex] a = 21/2 a= 10.5

so the slope is 10.5

c is the y-intercept wich is given by the output of 0

here it's 0

0⇒0

so the equation is y = 10.5x ⇒ p=10.5b

Answer:

P=10.5b

Step-by-step explanation:

given that (-3 3) is on the graph of f(x) find the corresponding point for the function f(x+1)

Answers

Answer:

(-3, 4).

Step-by-step explanation:

When f(x) becomes f(x + 1), all that is happening is that the y-value increases by 1.

So, (-3, 3) becomes (-3, 3 + 1). That is (-3, 4).

Hope this helps!

Answer:

(-2, 3)

Step-by-step explanation:

Find f(x + 1) by adding 1 to the x-coordinate -3 of (-3, 3):  (-2, 3)

Oliwia made a scaled copy of the following triangle. She used a scale factor greater than 111. What could be the height of the scaled copy of the triangle? Choose 3 answers: (A) 3 1/3 units (B) 10.5 units (C) 11.1 units (D) 18 units (E) 35 1/2 units

Answers

Answer:

C & D & E

Step-by-step explanation:

The correct options are C, D, and E.

Scaled copy

A scaled copy is an enlarged image of the previously given figure.

Scale factor

A scale factor is a factor by which the image is been enlarged. for example, the scale factor of 10 means each side will be multiplied by 10, resulting in a figure that is 10 times the real figure.

As given in the problem the scale factor is anything greater than 1.

We know that when we multiply 11 by 1 or a number greater than 1 the value will be the same or changed.

Therefore, the height of the scaled copy of the triangle will be anything equal to 11 or greater than 11.

Looking at the options available,

(A) 3 1/3 units

It is less than 11, therefore, not the right option.

(B) 10.5 units

It is less than 11, therefore, not the right option.

(C) 11.1 units

It is greater than 11, therefore, can be the possible option.

(D) 18 units

It is greater than 11, therefore, can be the possible option.

(E) 35 1/2 units

It is greater than 11, therefore, can be the possible option.

Thus, the correct options are C, D, and E.

Learn more about Scale:

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Image attached: Triangle measurement Theorem

Answers

Answer:

17

Step-by-step explanation:

Using Triangle Midsegment theorem, it states that if :

Q is the midpoint of MN and R is the midpoint of NP

Then, QR is parallel to MP and QR = 1/2 of MP

Mathematically

QR = 1/2MP

From the above question, we are given the following values:

QR = 3x - 4

MP = 55 - 3x

Since

QR = 1/2MP

3x - 4 = 1/2(55 - 3x)

3x - 4 = 55/2 - 3x/2

Collect like terms

3x + 3x/ 2 = 55/2 + 4

9x/ 2 = 31.5

Cross Multiply

9x = 31.5 × 2

9x = 63

x = 63/9

x = 7

Since QR = 3x - 4

x = 7

QR = 3×7 - 4

= 21 - 4

= 17

Hence, QR = 17

What is the hypotenuse of a right triangle ABC with sides a=12 and b=5?

A)169
B)13
C)17
D)7

Answers

Answer:

B: 13

Step-by-step explanation:

To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem if you know the length of the other two sides. Basically, you square the length of the 2 sides, a and b, and then add them together. Take the square root of the result to get the hypotenuse.

1. Square the length of a and b.

12 * 12 = 144

5 * 5 = 25

2. Add them together.

144 + 25 = 169

3. Take the square root.

The square root of 169 is 13.

In other words, the hypotenuse of this triangle is equal to √a^2 + b^2 = √12^2 + 5^2 = 13

Answer:

13

Step-by-step explanation:

12 x 12 =144

5 x5=25

Blah blah blah

Answer 13

Other Questions
Applying material from Item A and your knowledge, evaluate the view that labelling and other in-school factors are the main cause of social class differences in educational achievement. 1.3kg of gold at 300K comes in thermal contact with 2.4kg copper at 400K. The specific heats of Au and Cu are 126 J/kg-K and 386 J/kg-K respectively. What equilibrium temperature do they reach The Soviet Union and the United States nearly went to war with each other in1962 when the United States discovered Soviet missiles on the island ofCuba. This event, called the Cuban Missile Crisis, was resolved peacefullyafter several days of negotiations between U.S. and Soviet leaders.Which approach would a military historian take to study the Cuban MissileCrisis?A. Interview U.S. and Soviet citizens to learn how the Cuban MissileCrisis affected themB. Describe the tactics the United States might have used tophysically destroy the missiles in CubaC. Examine the effects of the Cuban Missile Crisis on the U.S. andSoviet economiesD. Explain why the negotiations that ended the Cuban Missile Crisiswere successful If the expected sales volume for the current period is 25,000 units, the desired ending inventory is 700 units, and the beginning inventory is 450 units, the number of units set forth in the production budget, representing total production for the current period, is pls help me with number 10 Fanelli Corporation, a merchandising company, reported the following results for July: Number of units sold 6,100 Selling price per unit$590 Unit cost of goods sold$413 Variable selling expense per unit$50 Total fixed selling expense$125,600 Variable administrative expense per unit$28 Total fixed administrative expense$207,500 Cost of goods sold is a variable cost in this company. Required: a. Prepare a traditional format income statement for July. b. Prepare a contribution format income statement for July. Anoche mis amigos y yo ____ al centro de Galveston. a. haba salido b. haban salido c. habamos salido Study the following figure, where two concentric circles share center C.Segment AB is a diameter of the larger circle.Segment AB intersects a chord of the smaller circle, PQ, at a right angle at point Z.Segment AB intersects a chord of the larger circle, MN, at a right angle at point 0.If MO=7x-4, and NO=6x, what is the length of MN How you might reorient yourself to your own job can someone help me solve this problem Marcus is saving up his money to buy a television that costs $395.50. Right now he has $85.00, and can save $29.00 each week. How many weeks will it take for Marcus to have enough money to buy the television? Read the sentence and choose the option with the correct verb in the future tense. I need help fast this is my summer packet Drag each description to the correct location on the chart. In a large single-elimination basketball tournament, the first round of play begins with 64 teams. In each successive round, the number of teams remaining in the tournament is reduced by half. This relationship can be described by the following exponential function. When this relationship is graphed, determine the quantity and axis that will represent each of the variables. x-axis y-axis Teams Remaining Tournament Round What led to population growth in Africa from 1500 to 1800?A. Trained doctorsB. New food plantsC. The end of slaveryD. Larger cities in Africa When separated by distance d, identically charged point-like objects A and B exert a force of magnitude F on each other. If you reduce the charge of A to one-fourth its original value, and the charge of B to one-fourth, and reduce the distance between the objects by half, what will be the new force that they exert on each other in terms of force F Engines are the most expensive, heavy component on an aircraft and are designed with detailed specifications. Which of the following would likely be the best theme for a Rolls-Royce analyst research note to help a portfolio manager decide between investing in Rolls Royce or United Technologies? a. Regulatory concerns for the Boeing-Airbus duopoly b. A comparison of the commercial prospects of new aircraft models. c. The impact of the price of oil on air travel.d. The competitive enviorment in the super luxury car segment. Write a statement that uses the decrement operator, in prefix mode, to decrease the value of the variable time. Jane entered a raffle at a festival and hopes to win a new TV. The odds in favor of winning a new TV are 4/7 . Find the probability of winning a new TV. In quadrilateral ABCD, AD || BCWhat must the length of segment AD be for thequadrilateral to be a parallelogram?B8 unitsO 16 units3x + 75x - 931 units62 unitsD