At a competition with 7 runners, medals are awarded for first, second, and
third places. Each of the 3 medals is different. How many ways are there to
award the medals?
Decide if this is a permutation or a combination, and find the number of ways
to award the medals.
O
A. Permutation; number of ways = 210
O
B. Combination; number of ways = 210
O
c. Permutation; number of ways = 35
O
D. Combination; number of ways = 35

Answers

Answer 1

Answer:

Option A - Permutation; number of ways = 210

Step-by-step explanation:

Given : At a competition with 7 runners, medals are awarded for first, second, and  third places. Each of the 3 medals is different.

To find : How many ways are there to  award the medals?        

Solution :

There are 7 runners but medals are three.

The first runner up got first medal as one is locked.

The second runner up got second medal as second is locked.

The third runner up got the third medal.

So, There is a permutation.

Number of ways to award the medals is [tex]^7P_3[/tex]

We know, [tex]^nP_r=\frac{n!}{(n-r)!}[/tex]

Substitute the values,

[tex]^7P_3=\frac{7!}{(7-3)!}[/tex]

[tex]^7P_3=\frac{7\times 6\times 5\times 4!}{4!}[/tex]

[tex]^7P_3=210[/tex]

Therefore, Option A is correct.

Permutation; number of ways = 210


Related Questions

A painter rented a wallpaper steamer at 9 a.m. and returned it at 4 p.m. He paid a total of $28.84. What was the rental cost per hour?

Answers

28.84/7 = $4.12
Hope this helps! Can you mark me as brainliest, if you can I really appreciate it!

Hello There!

We know that the painter had the steamer from 9 a.m in the morning to 4 p.m in the afternoon

he had it for a total of 7 hours. 28.84 divided by 7 equals 4.12 an hour

Divide $28.84 by 7 hours.

28.84/7 = 4.12

The rental cost per hour was $4.12.

Please help...........

Answers

Answer:

THE ANSWER IS D

Step-by-step explanation:

if you have multiple choice answers like these you can plug in all the numbers for each equation and the only one that works is d

becuase it ends up equaling 2=2

classify the triangle by its sides
a(3,-3), b(1,4), c(-1,-1)


Answers

Answer:

The triangle is scalene Δ

Step-by-step explanation:

* Lets revise the types of the triangle according to its sides

- Equilateral triangle: its three sides are equal in lengths

- Isosceles triangle: two sides are equal in lengths

- Scalene triangle: its three sides have different lengths

- The length of a segment basses through two points (x1 , y1) and

 (x2 , y2) is √[(x2 - x1)² + (y2 - y1)²]

* Lets solve the problem

∵ abc is a triangle with vertices a (3 , -3) , b (1 , 4) , c (-1 , -1)

- To classify the triangle by its side find the lengths of the 3 sides

∵ a = (3 , -3) and b = (1 , 4)

∴ ab = √[(1 - 3)² + (4 - -3)²] = √[(-2)² + (7)²] = √[4 + 49] = √53

∵ b = (1 , 4) and c = (-1 , -1)

∴ bc = √[(-1 - 1)² + (-1 - 4)²] = √[(-2)² + (-5)²] = √[4 + 25] = √29

∵ c = (-1 , -1) , a = (3 , -3)

∴ ca = √[(3 - -1)² + (-3 - -1)²] = √[(4)² + (-2)²] = √[16 + 4] = √20

∵ The lengths of the three sides of the triangle are √53 , √29 , √20

∴ The lengths of the three sides are different

∴ The triangle is scalene Δ

plz help its urgent​

Answers

Lets use 500 minutes and solve for each company:

Plan A = 15 +0.05(500) = 15 + 25 = 40

Plan B = 5 + 0.15(500) = 5 + 75 = 80

Plan C = 10 + 0.10(500) = 10 + 50 = 60

Plan D = 20 + 0.20(500) = 20 + 100 =120

Plan A is the most cost effective.

Answer:

Plan a

Step-by-step explanation:

plan a costs $15, plus the amount that it would cost for 500 minutes, which is $25. (0.05*500=$25). $15+$25=$40.

If she chose plan b, it would cost $80, because $5+ (0.15*500)=$80.

Plan c would cost $60, by plugging in the numbers to the same function above.

Plan d would cost $120

Find an equation of the line perpendicular to the graph of 28x-7y=9 that passes through the point at (4,1)

Answers

Answer:

Step-by-step explanation:

For this case we have by definition, if two lines are perpendicular then the product of their slopes is -1.

[tex]m_ {1} * m_ {2} = - 1[/tex]

We have the following equation:

[tex]28x-7y = 9[/tex]

Rewriting we have:

[tex]28x-9 = 7y\\y = \frac {28x-9} {7}\\y = 4x- \frac {9} {7}[/tex]

The slope of this line is 4.

We found [tex]m_ {2}:[/tex]

[tex]m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {4} = - \frac {1} {4}[/tex]

The new line is of the form:

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

We substitute the given point to find the cut point "b":

[tex]1 = - \frac {1} {4} (4) + b\\1 = -1 + b\\b = 2[/tex]

Finally, the equation is:

[tex]y = - \frac {1} {4} x + 2[/tex]

Answer:

[tex]y = - \frac {1} {4} x + 2[/tex]

If the area under the curve of f(x) = x2 + 2 from x = 1 to x = 6 is estimated using five approximating rectangles and right endpoints, will the estimate be an underestimate or overestimate?

Underestimate
Overestimate
The area will be exact
The area cannot be estimated with just five rectangles

Answers

Answer:

Overestimate

Step-by-step explanation:

We draw five rectangles from x = 1 to x = 6, so each rectangle has a width of 1:

(6 - 1) / 5 = 1

We're using right endpoints to determine the height of each rectangle.  The first rectangle is from x=1 to x=2, so the height of the rectangle is f(2) = 6.  So on and so forth for the other rectangles.

The result is this:

desmos.com/calculator/vrl67vpigt

As we can see, these rectangles have areas outside of the curve, so their total area will be greater than the area under the curve.  So this will be an overestimate.

Consider the triangle.
Which statement is true about the lengths of the sides?
Each side has a different length.
Two sides have the same length, which is less than the
length of the third side.
The three sides have the same length
The sum of the lengths of two sides is equal to the
length of the third side.

Answers

For this case we observe that the three angles of the triangle are equal. Also, we have by definition:

A triangle is equilateral, when the three sides have the same length (in addition, the three internal angles measure 60 degrees or[tex]\frac {\pi} {3}[/tex].

Answer:

The three sides have the same length

ANSWER

The three sides have the same length

EXPLANATION

The given triangle has all angles equal to 60°

A triangle that has all angles equal is called an equilateral triangle.

Another property about an equilateral triangle is that, it has all sides equal.

Therefore,the three sides have the same length.

The third option is correct.

Translate each sentence into an equation. Then find each number.


The difference between four times a number and six is –46.
Question 1 options:







Answers

Answer:

Equation: 4x - 6 = -46

Solution: x=10.

Step-by-step explanation:

The difference between four times a number and six translated into a equation is: 4x - 6 = -46.

Solving for 'x'we have:

4x = -46 + 6  ⇒ 4x = -40 ⇒ x = 10.

Then, the solution is: x=10

Answer:

4x - 6 = -46

x = -10

Step-by-step explanation:

We are given the following sentence equation into a mathematical equation and then solve it to find each number:

The difference between four times a number and six is –46.

Translating it in chunks to make it easier:

1) The difference between ---> means there is a subtraction sign

2) four times a number ---> assuming x to be the number ---> 4x

3) and six ---> 6

4) is -46 ---> = -46

Combining these to get:

[tex]4x - 6 = -46[/tex]

[tex]4x = -46 + 6[/tex]

[tex]4x = -40[/tex]

[tex]x=\frac{-40}{4}[/tex]

x = -10

Solve for x
6(x-1) =9(x+2)

Answers

6(x-1)= 9(x+2)

6x -6 = 9x + 18

6x = 9x + 24
-3x = 24
X= -8
Hope this helps!

How does the value of b affect the graph of y=my+b?

Answers

b is your y intercept on the graph.

Answer:

It translates the graph up or down the  y-axis by b units.

Step-by-step explanation:

got it right on edge

solve and answer in simplified form
(-8.3x+4) - (3.2x-5)​

Answers

Answer:

(-8.3x + 4) - (3.2x - 5) = -11.5x + 9

Step-by-step explanation:

(-8.3x + 4) - (3.2x - 5)

= -8.3x + 4 - 3.2x - (-5)

= -8.3x + 4 - 3.2x + 5            combine like terms

= (-8.3x - 3.2x) + (4 + 5)

= -11.5x + 9

What is the product of -5x2y4 and -8x6y4?

Answers

Answer:

40 x⁸y⁸

Step-by-step explanation:

When multiplying numbers that have powers to the same base, we simply add the indices and multiply the coefficients of the common bases.

To solve -5x²y⁴ multiplied by -8x⁶y⁴, we add the indices that have a common base.

-5x²y⁴× -8x⁶y⁴= (-5)(-8)x⁽²⁺⁶⁾y⁽⁴⁺⁴⁾

=40x⁸y⁸

A negative number multiplied by a negative= positive number

Answer:

product of 5x²y⁴ and -8x⁶y⁴ = 40x⁸y⁸

Step-by-step explanation:

Points to remember

Identities

Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾

Xᵃ/Xᵇ =  X⁽ᵃ ⁻ ᵇ⁾

It is given that, -5x²y⁴ and -8x⁶y⁴

To find the product of  -5x²y⁴ and -8x⁶y⁴

( -5x²y⁴ ) * ( -8x⁶y⁴) = (-5 * -8) *x² *x⁶ * y⁴ * y⁴

 = 40 * x⁽² ⁺ ⁶⁾ * y⁽⁴ ⁺ ⁴⁾

 = 40 * x⁸ * y⁸

 = 40x⁸y⁸

Choose the correct classification of 3x4 − 9x3 − 3x2 + 6.

5th degree polynomial

4th degree polynomial

9th degree polynomial

24th degree polynomial

Answers

it’s a 4th degree polynomial. That is if the first term is 3x^4

Answer:

The correct option is 2.

Step-by-step explanation:

The given polynomial is

[tex]3x^4-9x^3-3x^2+6[/tex]

In a polynomial, the highest degrees of its individual terms with non-zero coefficients is called degree of a polynomial.

The degrees of [tex]3x^4,-9x^3, -3x^2,6[/tex] are 4, 3, 2, 0 respectively.

In the given polynomial, the highest degree of its monomial is 4.

We can say that the given polynomial is 4th degree polynomial.

Therefore the correct option is 2.

A plane can fly 260 miles downwind in the same amount of time as it can travel 190 miles upwind. Find the velocity of the wind if the plane can fly 225 mph in still air.

Answers

recall your d = rt, distance = rate * time.

w = rate of the wind

225 = rate of the plane

so the plane flies 260 miles in say "t" hours, with the wind, now, the plane is not really going 225 mph fast, is really going "225 + w" fast because the wind is adding speed to it, likewise, when going against the wind, is not going 225 mph fast is going "225 - w" because the wind is eroding speed from it, and that was also covered in "t" hours

[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \stackrel{downwind}{\textit{with the wind}}&260&225+w&t\\ \stackrel{\textit{upwind}}{\textit{against the wind}}&190&225-w&t \end{array}~\hfill \begin{cases} 260=(225+w)t\\\\ \cfrac{260}{225+w}=\boxed{t}\\\\ \cline{1-1}\\ 190=(225-w)t \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{substituting \underline{t} in the 2nd equation}}{190=(225-w)\left( \boxed{\cfrac{260}{225+w}} \right)}\implies \cfrac{190}{225-w}=\cfrac{260}{225+w} \\\\\\ 42750+190w=58500-260w\implies 190w=15750-260w \\\\\\ 450w=15750\implies w=\cfrac{15750}{450}\implies \blacktriangleright w=35 \blacktriangleleft[/tex]

If f(x) = 2x^2 + 4, find f(3)

Answers

Answer:

f(3)=2(3)^2+4

f(3)=2(9)+4

f(3)=18+4

f(3)=22

Step-by-step explanation:

In this scenario, x=3 so you plug it into the other side of the equation.

ANSWER

[tex]f(3) = 22[/tex]

EXPLANATION

The given given function is

[tex]f(x) = 2 {x}^{2} + 4[/tex]

To find f(3), we substitite x=3 into the function f(x).

This means that wherever we see x in

[tex]f(x) = 2 {x}^{2} + 4[/tex]

we replace it with 3 .

[tex] \implies \: f(3) = 2 ({3})^{2} + 4[/tex]

We evaluate the square to get:

[tex] \implies \: f(3) = 2 ({9}) + 4[/tex]

Perform the multiplication

[tex] \implies \: f(3) = 18 + 4[/tex]

Now add to get:

[tex] \implies \: f(3) = 2 2[/tex]

Mary has rehearsed her ballot solo for 5 and 1/2 hours a week from now she wants to have rehearse at least a total of 19 and 1/2 hours if she rehearses for the same amount of time each day for the next 7 days at least how many hours must you rehearse per day​

Answers

This answer Has been deleted

4x – 3y = 17
y-intercept:
2-intercept:

Answers

Answer:

y-intercept = -17/3x-intercept = 17/4

Step-by-step explanation:

4x - 3y = 17

y-intercept is for x = 0.

x-intercept is for y = 0.

y-intercept:

put x = 0 to the equation

4(0) - 3y = 17

0 - 3y = 17

-3y = 17             divide both sides by (-3)

y = - 17/3

x-intercept:

put y = 0 to the equation

4x - 3(0) = 17

4x - 0 = 17

4x = 17            divide both sides by 4

x = 17/4

Which of the following is the most important piece of information to consider when comparing prices?


A)

The average price of the two items you are comparing


B)

The wholesale price of the item you want to buy.


C)

The amount of income you have


D)

The price per unit of the items you are comparing.

Answers

Answer: A) The average price of the two items you are comparing.

Step-by-step explanation:

Because...

When a person goes to a store they look at a item and then compare prices. So for every person price is the important thing that you are comparing. It also depends on your income as well.  So choice A and C is almost the same.

Therefor, the correct answer would be A.

* Hopefully this helps:) Mark me the brainliest:)!!!

Jessica and Monte sell bananas at a produce stand. Jessica earns $4 for each crate of bananas she sells. At the end of the week, Monte has earned $15
less than Jessica. The following expression shows Monte's eamings:
4y - 15
In the expression, what does the first term represent?

Answers

Answer: A, Jessica's Earning's at the end of the week

Step-by-step explanation: If Jessica earns $4 for every crate she sells that means the first term would be what Jessica earned at the end of the week minus $15 because Monte made $15 dollars less then Jessica

The amount earned by Jessica and Monte are illustrations of a linear function.

The first term represents Jessica's total earnings.

Monte's earning is expressed as:

[tex]\mathbf{4y - 15}[/tex]

From the question, we understand that:

Jessica earns $4 per crate of banana

So, 4y represents Jessica's total earnings.

Hence, the first term represents Jessica's total earnings.

Read more about linear functions at:

https://brainly.com/question/21107621

Evaluate each expression for g = -7 and h = 3 and match it to its value.
1. g + h -10
2. g - h -4
3. h - g -21
4. gh 2
5. g + h2 10
6. g2 - h 46

Answers

Answer: -14, -14 ,-11, -42,

Step-by-step explanation:

1. g + h - 10 2. g - h - 4 3. h - g - 21

-7 + 3 -10. -7 -3 -4. 3 + 7 -21

-4 - 10. -10 - 4 10 - 21

-14. -14. - 11

4. gh 2

-7(3) 2

-21 (2)

-42

What is the value of x?​

Answers

In this shape there will be 540 degrees

So 98+98+115+115+x = 540
X= 114


Hope this helps!

What is the surface area of the right cone below? Help ASAP please

Answers

Answer:

176

Step-by-step explanation:

HELP PLEASE!! VERY APPRECIATED
•In the triangle below what is the tangent of 30°?

Answers

Answer: D

Step-by-step explanation:

Tangent is...

other leg/ adjacent leg

Answer:

The correct answer is D. 1/√3

Step-by-step explanation:

The ratio of the opposite side and the adjacent side to the given angle is the tangent.

According to the image below formula is:

tangent(α)=a/b

a= oppositive side: the side in front of the given angle.

b= adjacent side: the side next to the given angle.

α= the given angle.

According to the image, the value of “a” is 1 and there is √3 for “b”.

So, the correct answer is D. 1/√3

What does mean, median, mode, and range means in mathematics?

Answers

Mean is dividing the sum of all the numbers by how many numbers there are

Median is the middle of the set of number ordered from least to greatest

Mode is the number that appears the most often in the data set

Range is subtracting the biggest number in the data set by the smallest number

Hope this helped!

~Just a girl in love with Shawn Mendes

Final answer:

The mean is the average of a data set, the median is the middle value, the mode is the most frequent value, and the range is the difference between the highest and lowest values. The median is preferred in skewed distributions.

Explanation:

Mean, Median, Mode, and Range in Mathematics

The mean is the average of a data set, calculated by adding up all the values and dividing the total by the number of values. The median is the middle value when the data set is ordered from least to greatest, or the average of two middle values if there is an even number of values in the data set. The mode is the value that appears most frequently in a data set. The range is the difference between the highest and lowest values in the data set. Each of these measures provides different information about the distribution of the data and can be affected by outliers or the overall shape of the data distribution.

For example, consider the data set: 4, 5, 6, 6, 7, 8, 9. The mean is (4+5+6+6+7+8+9)/7 = 6.43, the median is 6, and the mode is 6 (since it appears the most). The range is 9-4 = 5.

In cases where data sets include outliers or are skewed, the mean may not be representative of the data's center. For instance, if a data set is 4, 5, 6, 6, 7, 8, 100, the mean is significantly influenced by the outlier (100), while the median remains a better indicator of the center. In such distributions, the median is often preferred over the mean.

What is the probability of the drawing a blue card, replacing it, and then drawing a blue card?

3/5
6/25
9/25

Answers

9/25

The probability of drawing a blue card is 3/5 because there are 3 blue cards and 5 cards in total.
Multiply 3/5 by 3/5 to get the probability of drawing a blue card twice in a row. Multiply the numerators to get 9 and multiply the denominators to get 25.
This gives you a final answer of 9/25.

The probability of drawing a blue card, replacing it, and then drawing a blue card is Option 3. 9/25

Number of blue cards = 3

Number of red cards =2

Total number of cards as given in the diagram = 2+ 3 = 5

How do you calculate probability?

The probability of an event can be calculated by the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The probability of drawing a blue card is 3/5 because there are 3 blue cards and 5 cards in total. Multiply 3/5 by 3/5 to get the probability of drawing a blue card twice in a row. Multiply the numerators to get 9 and multiply the denominators to get 25.

This gives you a final answer of 9/25.

What is probability in math?

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

What is the simple formula of probability?

P(A) = n(A)/n(S)

P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

To learn more about the probability, refer

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Which of the following could represent consecutive even Integers?
x + 1, x + 2
Ox+1,x+3
2x, 2x + 1

Answers

Answer:

x+1,x+3

Step-by-step explanation:

Lets look at consecutive even integers

2,4

How do we get from 2 to 4

We add 2

Our first even integer is x

We add 2

x+2

x, x+2

Buts lets say x is an odd number, so add 1 to it

x+1, x+1 +2

x+1, x+3

Its x+1 and x+3. Hope tht helps

Factor.

x2−5x+6

Enter your answer in the boxes.

x2−5x+6= ( ) ( )

Answers

Answer:

Step-by-step explanation:

(x-3)(x-2)

Answer:

(x-3) (x-2)

Did the test on k-12

Solve #13, Solve for X, please show work!

Answers

x = -2, 10/3

The pictures show the steps

Step-by-step explanation:

all work is pictured and shown

If the endpoints of the diameter of a circle are (8, 6) and (2,0), what is the standard form equation of the circle?
A)
(x + 5)2 + (y + 3)2 = 18
(x + 5)2 + (y + 3)2 = 3.72
(x - 5)2 + (y - 3)2 = 18
D)
(x - 5)2 + (y - 3)2 = 32

Answers

Answer:

It is C.

Step-by-step explanation:

The centre of the circle is at the midpoint of The diameter = (8+2)/2, (6+0)/2 = (5,3) so the left side of the equation is (x-5)^2+(Y-3)^2. Now we need to work out the radius:

The diameter = square root(8-2)^2+6^2) = square root of 72 = 6sqrt2.

So the radius = 3sqrt2 and r^2=18.

Which of the following is a 3rd degree polynomial with roots i and 2?

Answers

Answer:

D

Step-by-step explanation:

Given the roots of a polynomial, say x = a, x = b, x = c, then

(x - a), (x - b) and (x - c) are the factors and the polynomial is the product of the factors.

Note complex roots occur in conjugate pairs, thus

x = i is a root ⇒ x = - i is also a root

given roots x = 2, x = i, x = - i are roots, then

(x - 2), (x - i) and (x + i) are the factors and

f(x) = (x - 2)(x - i)(x + i)

     = (x - 2)(x² - i²)

     = (x - 2)(x² + 1)

     = x³ + x - 2x² - 2

     = x³ - 2x² + x - 2 → D

Final answer:

The 3rd degree polynomial with roots i and 2 is P(x) = x^3 - 2x^2 + x - 2, which is found by multiplying the factors (x - i), (x + i), and (x - 2).

Explanation:

A 3rd degree polynomial with roots i and 2 must also have the complex conjugate of i, which is -i, as a root because the coefficients of the polynomial are real numbers. Thus, the polynomial will have three roots: i, -i, and 2. To find the polynomial, we can use the fact that a polynomial equation is the product of its factors. Therefore, we start by writing down the factors that correspond to each root:

(x - i)(x + i)(x - 2)

Multiplying these factors together will give us the desired 3rd degree polynomial:

Multiply the factors (x - i) and (x + i), which are conjugates, to get x^2 + 1 because (i)(-i) = -i^2 = 1.Now, multiply the quadratic polynomial x^2 + 1 by (x - 2) to get the 3rd degree polynomial.

The full expansion gives us the polynomial P(x) = x^3 - 2x^2 + x - 2.

Learn more about 3rd Degree Polynomial here:

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If the graphs of the lines in the system of equations above the intersect at (-3,1), what is the value of K/H?A) 3/2B) 2C) 3D) 6 Which of the following statements is true of offshore outsourcing?a. Improved telecommunication systems have increased its attractiveness.b. The limited availability of the Internet has reduced its effectiveness.c. Reduced bandwidth has increased its efficiency to perform with low latency.d. The increased cost of communication has reduced its popularity. An idea, event, or object can be represented by a ____ to help people better understand it. What are six advantages of self-employment? Find the missing value 4 = -8 - ? Given pH = 8.55 Find: [H3O+] and [OH-] Is this acidic, basic or neutral? f 1.5 mol of NaBH4 react, how many moles of B2H6 are formed? 2 NaBH4(aq) + H2SO4(aq) 2 H2(g) + Na2SO4(aq) + B2H6(g) Which best explains how a historian synthesizes evidence to reach aconclusion?OA. The historian makes comparisons among multiple primary andsecondary sources.OB. The historian researches only one primary source and onesecondary source.OC. The historian uses only secondary sources to support a claim.OD. The historian draws conclusions from a single primary source. A main idea is supported, explained, or expanded on withAnumbersB.a concluding statementC.detailsD.a topic sentence. ImEparagraphsResetNEXNext Which of the following describe an electrical motor? Check all that apply() Changes electrical energy to mechanical energy.() Can be powered by a hand crank.() Uses the interaction between a spinning coil of wire and magnet.() Is found in many appliances with moving parts like, a vacuum cleaner or a blender.Don't answer unless you know the answer, please. Consider the following system at equilibrium. CaCO3(s) Ca2+(aq) + CO32(aq) The addition of which compound will cause a shift in equilibrium because of a common ion effect? CCl4 CO2 CuSO4 Na2CO3 2 POINTSWhat happens when a trust is formed?OA. A corporation builds factories in foreign countries.OB. The government can raise taxes and people do not complain.OC. A company or a group of people are able to control many othercompanies together.OD. Foreign businesses are allowed to sell their products in America.SUBMIT Why did Allan bakke file a lawsuit? A sequence is defined recursively using the formula f(n + 1) = 0.5 f(n) . If the first term of the sequence is 120, what is f(5)? Once an egg cell is fertilized by sperm, the cell _______.Then, as the embryo develops, it receives nourishment and eliminates wastes by transferring substances from its blood to its mother's blood. A. becomes a fetus immediately and exits the womb B. begins to divide and implants itself in the wall of the uterus C. remains in the uterus without dividing for several months D. travels back to the ovaries until the fetus is developed A taxi cab charges $1.75 for the flat fee and $0.25 for each time. Write an in equality to determine how many miles Eddie can travel if he has $15 to spend. In what way did the burning of Washington DC benefit the Americans it is easier to preach than to practise how to change this into positive degree please help asap reward A car rental costs $50 for the first day. Additional days cost $35 per day, unless the car is rented for 7 days or more, in which case there is a 10% discount on the daily rate.Identify the expression which represents the cost of renting a car if the car has been rented for more than a week.A)45 + 35xB)45 + 31.5xEliminateC)50 + 35xD)50 + 31.5x