Which expression can be used to represent 8 more than the product of 15 and 12?​

Answers

Answer 1

Answer:

25

Step-by-step explanation:

15x12=180

8x25=200

Answer 2

The expression is [tex]\(15 \times 12 + 8 = 188\)[/tex].

To represent "8 more than the product of 15 and 12", you would first calculate the the product of 15 and 12, and then add 8 to to the result.

1. Calculate the product of of 15 and 12:

 [tex]\(15 \times 12 = 180\)[/tex]

2. Add 8 to to the result:

 [tex]\(180 + 8 = 188\)[/tex]

So, the expression representing "8 more than the product of of 15 and 12" is [tex]\(15 \times 12 + 8\)[/tex], which simplifies to to [tex]\(188\)[/tex].


Related Questions

A class of 25 students took a spelling test. Two students scored 100 on each test, nine students scored 95 on each test, ten students scored 90 on each test, three students scored 80 on each test and one student scored 70. What is the average score of the spelling test rounded to one decimal place? Enter your answer in the box.

Answers

Answer:

I believe the answer is 90.6

Step-by-step explanation:

I added 200+900+240+70+855 and got 2,265.  If I divide that by 25 I get 90.6.  

Hope this helps!

Answer with Step-by-step explanation:

A class of 25 students took a spelling test.

Number of students                  Marks obtained

2                                                       100

9                                                        95

10                                                       90

3                                                         80

1                                                          70

Average marks=sum of marks/number of students

Sum of marks=100×2+9×95+10×90+3×80+70×1

                     =2265

Number of students=25

Average=2265/25

             =90.6

Hence, average score of the spelling test rounded to one decimal place is:

90.6

You deposit $175 in an account that pays 4% interest compounded quarterly. How much will you have in the account after 2 years? ​

Answers

Answer:

[tex]\$189.50[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=2\ years\\ P=\$175\\ r=0.04\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$175(1+\frac{0.04}{4})^{4*2}=\$189.50[/tex]  

Howards's quiz scores are below. What is the quiz average?
77, 71, 82, 79.76, 78, 85, 83​

Answers

To find the average add all the scores together, then divide that by the number of quizzes.

77 + 71 + 82 + 79 + 76 + 78 + 85 + 83 = 631

8 quizzes

Average = 631 / 8 = 78.875  = 79

Answer:

78.875

Step-by-step explanation:

the average = sum of the scores/ number of scores

average = (77 + 71+ 82+79+ 76+78+85+83)/8

average = 631/8 = 78.875

25^(x+7)=125^(x-10)​

Answers

Answer:

x=44

Step-by-step explanation:

In triangle ABD, BE ⊥ AD and ∠EBD ≅ ∠CBD.

If ∠ABE = 52°, what is the measure of ∠EDB?
A) 12°
B) 26°
C) 52°
D) 64°

Answers

Answer:

Option B. [tex]26\°[/tex]

Step-by-step explanation:

step 1

Find the measure of angle EBD

we know that

[tex]m<EBD+m<CBD+m<ABE=180\°[/tex]

remember that

[tex]m<EBD=m<CBD[/tex]

[tex]m<ABE=52\°[/tex]

substitute the values

[tex]2m<EBD+52\°=180\°[/tex]

[tex]2m<EBD=180\°-52\°[/tex]

[tex]m<EBD=128\°/2=64\°[/tex]

step 2

Find the measure of the angle EDB

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

In the right triangle BED

[tex]m<EBD+m<BED+m<EDB=180\°[/tex]

we have

[tex]m<EBD=64\°[/tex]

[tex]m<BED=90\°[/tex]

substitute

[tex]64\°+90\°+m<EDB=180\°[/tex]

[tex]m<EDB=180\°-(64\°+90\°)=26\°[/tex]

Answer:

B.[tex]26^{\circ}[/tex]

Step-by-step explanation:

We are given that a triangle ABD, BE is perpendicular to AD and angle EBD is congruent to angle CBD.

[tex]\angleABE=52^{\circ}[/tex]

We have to find the measure of angle EDB.

Let [tex]\angle EBD=x[/tex]

Then, [tex]\angle CBD=x[/tex] because angle EBD is congruent to angle CBD.

[tex]\angle ABE+\angle EBD+\angle CBD=180^{\circ}[/tex] (linear sum)

[tex]52+x+x=180[/tex]

[tex]2x=180-52=128[/tex]

[tex]x=\frac{128}{2}=64^{\circ}[/tex]

In triangle EBD

[tex]\angle BED=90^{\circ}[/tex]

[tex]\angle EBD=64^{\circ][/tex]

[tex]\angle EBD+\angle BED+\angle EDB=180^{\circ}[/tex] (sum of angles of triangle )

Substitute the values then we get

[tex]64+90+\angle EDB=180[/tex]

[tex]154+\angle EDB=180[/tex]

[tex]\angle EDB=180-154=26^{\circ}[/tex]

Hence, [tex]m\angle EDB=26^{\circ}[/tex]

Combine like terms to create an equal expression 7z+15+2

Answers

Answer:

7z + 17

Step-by-step explanation:

15 and 2 are the only alike terms.

Please mark brainliest!

point d is at (-6,9) After being translated four units down and then reflected across the Y axis what are the cornets of point d

Answers

Answer:

So, if it is translated down 4 units, that puts point d at (-6,5). and after reflecting it over the y axis, that puts it at (6,5). Making the final answer (6,5).

Step-by-step explanation:

Final answer:

The coordinates of point D after being translated four units down and reflected across the Y-axis are (6, 5).

Explanation:

To find the coordinates of point D after the given translation and reflection, we need to perform each step in order.

First, the translation moves point D four units down, resulting in coordinates (-6, 9) + (0, -4) = (-6, 5).Next, the reflection across the y-axis involves changing the sign of the x-coordinate. Therefore, the final coordinates of point D after reflection are (6, 5).

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If y=x-6 were change to y=x-8 how would the graph of the new function compare with the first one ?


Answers

Answer:

-  The lines of both functions have the same slope.

- The line of the first function intercepts the y-axis at the point (0,-6) and the  line of the new function intercepts the y-axis at the point (0,-8).

- The new graph is the graph of the first function but shifted 2 units down.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

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

Where the slope is "m" and the intersection of the line with the y-axis is "b".

Given the function in the form [tex]y=x-6[/tex], you can identify that:

[tex]m=1\\b=-6[/tex]

And from the new function in the form  [tex]y=x-8[/tex], you can identify that:

[tex]m=1\\b=-8[/tex]

This means that the lines of both functions have the same slope, but the line of the first function  [tex]y=x-6[/tex] intercepts the y-axis at the point (0,-6) and the  line of the new function  [tex]y=x-8[/tex] intercepts the y-axis at the point (0,-8).

Therefore, the graph of the new function is 2 units below of the function [tex]y=x-6[/tex], or, in other words, the new graph is the graph of the first function but shifted 2 units down.

If anyone can help it would be greatly appreciated!

Answers

Answer:

Second answer choice

Step-by-step explanation:

Since -10 is outside t you multiple every number inside the parenthesis by -10

y= -3(x-3)^2+4 identify the axis of symmetry.

Answers

Answer:

The equation of the axis of symmetry is x = 3

Step-by-step explanation:

Perform the indicated mult., obtaining:

y = 3(x² - 6x + 9) + 4.

Mult. each term inside parentheses by 3, we get:

y = 3x² - 18x + 27 + 4, or

y + 3x² - 18x + 31

Here the coefficients are a = 3, b = -18 and c = 31.

The axis of symmetry is x = -b / (2a), which here is:

      -(-18)

x = ----------- = 18/6 = 3

       2(3)

The equation of the axis of symmetry is x = 3

ANSWER

x=3

EXPLANATION

The given function is

[tex]y= -3(x-3)^2+4[/tex]

This function is of the form.

[tex]y= a(x-h)^2+k[/tex]

This is called the vertex form.

The axis of symmetry is given by

[tex]x = h[/tex]

By comparing to

[tex]y= -3(x-3)^2+4[/tex]

a=-3, h=3 and k=4

Hence the axis of symmetry is x=3

Five cards are dealt from 52.
A) How many different hands can be dealt?
B) How many hands will contain 4 hearts?
C) How many hands will contain no face cards?
D) How many hands will contain only spades or only clubs?
E) How many hands will contain only red cards l?
F) How many hands will contain no more than 2 face cards?
G) How many will contain at least 2 hearts?

Answers

For reference,

[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]

a. [tex]\dbinom{52}5=2,598,960[/tex] - nothing special here, you're just choosing any 5 cards from the deck

b. [tex]\dbinom{13}4\dbinom{39}1=27,885[/tex] - 13 hearts to choose from, and 39 of any other suit

c. [tex]\dbinom{40}5=658,008[/tex] - there are 12 face cards to omit from the count

d. [tex]\dbinom{26}5=65,780[/tex] - half the deck contains spades/clubs

e. [tex]\dbinom{26}5=65,780[/tex] - essentially the same situtation as (d)

f. [tex]\dbinom{40}5\dbinom{12}0+\dbinom{40}4\dbinom{12}1+\dbinom{40}3\dbinom{12}2=2,406,768[/tex] - either 0, 1, or 2 face cards are allowed

g. [tex]\dbinom{13}2\dbinom{39}3+\dbinom{13}3\dbinom{39}2+\dbinom{13}4\dbinom{39}1+\dbinom{13}5\dbinom{39}0=953,940[/tex] - similar to (f)

A) Total Different Hands=2,598,960

B) Hands Containing 4 Hearts=27,885

C) Hands Containing No Face Cards=658,008

D) Hands Containing Only Spades or Only Clubs=2,574

E) Hands Containing Only Red Cards=65,780

F) Hands Containing No More Than 2 Face Cards= 915528

G) Hands Containing At Least 2 Hearts=1,894,929

This problem involves calculating the number of different hands possible when dealing five cards from a standard deck of 52 playing cards.

We also need to determine the count for various specific conditions.

A) Total Different Hands

To determine the number of different hands, we use the combination formula C(n, k) where n is the total number of items, and k is the number of items to choose.

For our case:

C(52, 5) = 52! / (5!(52-5)!) = 2,598,960

B) Hands Containing 4 Hearts

We select 4 hearts from the 13 available and the 5th card from the remaining 39 cards:

C(13, 4) * C(39, 1) = 715 * 39 = 27,885

C) Hands Containing No Face Cards

There are 40 non-face cards (4 suits each with A-10). Thus, the number of ways to select a 5-card hand with no face cards is:

C(40, 5) = 658,008

D) Hands Containing Only Spades or Only Clubs

Since we can't mix suits, we compute separately and add:

C(13, 5) * 2 (one for each suit) = 1,287 * 2 = 2,574

E) Hands Containing Only Red Cards

There are 26 red cards (hearts and diamonds), so we choose from these:

C(26, 5) = 65,780

F) Hands Containing No More Than 2 Face Cards

Calculating for 0, 1, and 2 face cards separately:

0 face cards: C(40, 5)1 face card: C(12, 1) * C(40, 4)2 face cards: C(12, 2) * C(40, 3)

Total=C(40, 5) + C(12, 1) * C(40, 4) + C(12, 2) * C(40, 3) = 658,008 + 114,960 + 142,560 = 915528

G) Hands Containing At Least 2 Hearts

We use the complement rule: subtract the combinations with 0 or 1 heart from the total:

0 hearts: C(39, 5)1 heart: C(13, 1) * C(39, 4)

Total=C(52, 5) - (C(39, 5) + C(13, 1) * C(39, 4)) = 2,598,960 - (575,757 + 128,274) = 1,894,929

400 meters to 350 meters

Answers

The change in distance is 50 meters

Using the parameters given :

Distance 1 = 400Distance 2 = 350

To calculate the change in distance:

Distance 1 - Distance 2

Change in distance = (400 - 350) = 50

Hence, the change in distance is 50 meters

Complete Question:

400 meters to 350 meters . Calculate the change in distance.

How many hours worked is 1:45-4:00?

Answers

Answer:

2 1/4 h = 2.25 h

Step-by-step explanation:

From 1:45 to 4:00 is:

15 min to 2:00

from 2:00 to 4:00 is 2h

We know 1h = 60min, therefore 1min = 1/60 h

2h and 15min = 2h + 15/60 h = 2h + 1/4 h = 2 1/4h = 2.25h

Can someone please help me???? I dont understand AT ALL

Answers

Answer:

In the attachment.

If a function f(m) models the number of hours it take to hike m miles through the jungle, which describes the appropriate domain for the function?
A) all integers where m > 0
B) all integers where m ≥ 0
C) all rational numbers where m > 0
D) all rational numbers where m ≥ 0

Answers

the correct answer is d

Answer:

D

Step-by-step explanation:

all rational numbers where m ≥ 0

The number of hours it takes to hike through the jungle can be calculated from any fraction of a mile or miles.

I've been out, and need help. i have been given 1 hour to complete this exam. i have half done and need help with these. please help?

Answers

QUESTION 1

The point-slope form equation of a line is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Given slope:

[tex]m = \frac{2}{3} [/tex]

and point:(-3,5)

The point-slope form equation is:

[tex]y-5= \frac{2}{3} (x- - 3)[/tex]

This simplifies to:

[tex]y-5= \frac{2}{3} (x + 3)[/tex]

The correct option is D.

QUESTION 2

We use any two points from the table to find the required equation.

(2,14) and (4,23)

The slope is given by the formula,

[tex]m = \frac{23 - 14}{4 - 2} = \frac{9}{2} [/tex]

The equation is given by;

[tex]y-y_1=m(x-x_1)[/tex]

We plug in values to get;

[tex]y-14= \frac{9}{2} (x-2)[/tex]

Expand:

[tex]y = \frac{9}{2} x - 9 + 14[/tex]

The slope-intercept form is:

[tex]y = \frac{9}{2} x + 5[/tex]

The correct choice is B

I need urgent help, I have no idea how to figure this one out.

Answers

Answer: What's the question?

Step-by-step explanation:

85%of the students report being bullied during school. predict of how many students in a school of 7000 have been bullied

Answers

5950 have been bullied in that particular school of 7000

Which net represents the solid figure? plzzzzzzzz help MEEEEEEEEEEEEEEEEEE

Net 1

Net 2

Net 3

Answers

net 2 is the anwser to the solid figure

The answer is Net 2. I think so.

Patricia compró 10 estampillas de correos unas de $3.00 y otras de $1.00. Si pago con $18.00 en total. ¿Cuántas pago por cada una? (Hacer el problema con uno de los varios sistemas de ecuaciones)

Answers

Answer:

Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar

Step-by-step explanation:

Cuatro estampas de tres dolares cada una es:

3 × 4 = 12

Ahora necesitamos encontrar  cuantas estampas mas Patricia puede comprar. Podemos hacer esto restando 12 a 18, que es el costo total de las estampas menos del valor encontrado

18 - 12 = 6

Ahora sabemos que Patricia necesita 6 dolares de estampas ($1 estampas) para acompletar las 10 estampas  dando un total de $18 dolares.

6 × 1 = 6 < sumar 6 de 12

12 + 6 = 18

Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar

Final answer:

To solve this problem using a system of equations, we can let x represent the number of stamps that Patricia bought for $3.00 and y represent the number of stamps she bought for $1.00.

Explanation:

To solve this problem using a system of equations, we can let x represent the number of stamps that Patricia bought for $3.00 and y represent the number of stamps she bought for $1.00. The problem tells us that Patricia bought a total of 10 stamps and paid a total of $18.00. Therefore, we can set up the following system of equations:

x + y = 10

3x + y = 18

To solve this system, we can use the substitution or elimination method. Let's use the substitution method. From the first equation, we can solve for x in terms of y: x = 10 - y. Now we can substitute this expression for x in the second equation:

3(10 - y) + y = 18

30 - 3y + y = 18

30 - 2y = 18

-2y = -12

y = 6

Substituting this value of y back into the first equation, we can find the value of x:

x + 6 = 10

x = 4

So Patricia bought 4 stamps for $3.00 each and 6 stamps for $1.00 each.

in set builder notation Write a compound inequality to represent all of the numbers between -4 and 6.

Answers

Answer:

[tex]\left\{x\ |-4<x<6\right\}[/tex]

Step-by-step explanation:

We need to write a compound inequality to represent all of the numbers between -4 and 6. Which should be done in set builder notation .

if x represents the required number then we can write x>-4 and x<6

or we can write -4<x<6

Hence required inequality in set builder notation will be given by :

[tex]\left\{x\ |-4<x<6\right\}[/tex]

Baseball player hits a ball on an angle of 54° and a height of 4 1/2 feet if the balls initial velocity after being is 152 ft./s if no one catches the ball when will hit the ground

Answers

Hello!

The answer is:

The ball will hit the ground in 7.69 seconds.

Why?

To solve this problem, we need to apply the following projectile motion equation:

[tex]y=vo*sin(\alpha)*t-\frac{1}{2}gt^{2}[/tex]

To calculate when the ball wil hit the ground, in other words the time of flight, we need to make "y" equal to 0, and considerate the initial height, so, we have:

[tex]0=initialheight+vo*sin(\alpha)*t-\frac{1}{2}gt^{2}[/tex]

Then, we are given the following information:

[tex]InitialHeight=4.5feet\\\alpha =54\°\\vo=\frac{152ft}{s}[/tex]

Now, substituting and solving, we have:

[tex]-(\frac{1}{2})*\frac{32.15ft}{s^{2}}*t^{2}+\frac{152ft}{s}*sin(54\°)+4.5ft\\\\-16.07\frac{ft}{s^{2} }*t^{2}+122.97\frac{ft}{s}*t +4.5ft=0[/tex]

We have a quadratic equation, where:

[tex]a=-16.07\\b=122.97\\c=4.5[/tex]

Now, using the quadratic equation to find the values of "t" , we have:

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

Substituting we have:

[tex]\frac{-122.97+-\sqrt{(122.97)^{2}-4*(-16.0)*(4.5)} }{2*(-16.07)}\\\\\frac{-122.97+-\sqrt{(122.97)^{2}-4*(-16.07)*(4.5)} }{2*(-16.07)}=\frac{-122.97+-\sqrt{15121.62+289.26}}{-32.14}\\\\\frac{-122.97+-\sqrt{15121.62+289.26}}{-32.14}=\frac{-122.97+-(124.14)}{-32.14}[/tex]

[tex]t_1=\frac{-122.97+124.14}{-32.14}=-0.04\\\\t_2=\frac{-122.97-124.14}{-32.14}=7.69[/tex]

Therefore, since the time cannot be negative, we have to discard "t1", so, the answer is: 7.69 seconds

Hence, the ball will hit the ground in 7.69 seconds.

Have a nice day!

Answer:

7.72 s

Step-by-step explanation:

I got the question wrong when I put 7.69 and saw that this was the correct answer.

X^2+2x-8=0 in simplest radical form

Answers

2⃣, -4⃣ = x; no radical necessary.

which ordered pair is a solution to the equation

y= 4x+15

Answers

Final answer:

An ordered pair is a solution to the equation y = 4x + 15 if when its elements are substituted into the equation, both sides of the equation hold equal. For instance, the ordered pair (2,23) is a solution to this equation.

Explanation:

The question is asking which ordered pair is a solution to the linear equation y = 4x + 15. An ordered pair consists of values of x and y that make this equation true. Therefore, we plug in the values of the ordered pair into the equation.

For example, if we have the ordered pair (2,23), we substitute the x value (2) and y value (23) into the equation: y = 4x + 15 becomes 23 = 4*2 + 15. By doing the calculation, we find that the left side of the equation equals the right side, therefore, (2,23) is a solution for the equation y= 4x+15.

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The ordered pair (2, 23) is a solution to the equation y = 4x + 15. By substituting x = 2, the corresponding y value is 23, validating the solution in the linear relationship.

To find an ordered pair that is a solution to the equation y = 4x + 15, we can choose values for x and compute the corresponding y value.

Let's try x = 2:

y = 4(2) + 15 = 8 + 15 = 23

So, the ordered pair (2, 23) is a solution to the equation.

In this context, for any chosen x, plugging it into the equation and calculating y will yield a valid solution. The equation represents a linear relationship where y is four times x plus 15. Therefore, any pair of x and y that satisfies this relationship is a solution to the equation. The solution set consists of an infinite number of ordered pairs, each representing a point on the graph of the linear equation.

The probable question may be:

What ordered pair is a solution to the equation

y= 4x+15

round 389,935 to the nearest hundred thousand ​

Answers

Answer:

400 thousand or 400,000

Step-by-step explanation:

just round 389 to the nearest hundred ------ 400

Answer:400,000

Step-by-step explanation:

389,935

the hundred thousand place is the 8 it is greater than 5 so you round up to 400,000

which equation has the steepest graph

Answers

Answer:

Answer: A.  Y= -10x -4.

Step-by-step explanation:

Steeper line : is a line which is closed to y-axis, or closed vertically.

Since, the standard form of a line is,

y = mx + c

Where m is the slope,

If the absolute value of the slope ( that is, |m| ) is maximum then it is called it has the steepest graph.

For,  y=-2x+6,

The absolute value of slope = 2,

For, y =8x-1,

The absolute value of slope = 8,

For, y=-10x-4,

The absolute value of slope = 10,

For, Y=7x+3,

The absolute value of slope = 7,

Since, 2< 7 < 8 < 10

Hence, the line y = -10 x - 4 is closest to y-axis,

⇒ Line y = -10 x - 4 has the steepest graph.

A steeper line is one with a greater absolute slope value. Among the provided equations, y = -10x - 4 has the steepest graph due to its absolute slope value of 10.

The correct answer is option A.

A steeper line in the context of linear equations can be understood as a line that is closer to the y-axis or one that has a more significant vertical incline. The steepness of a line is determined by its slope, represented as 'm' in the standard linear equation form, y = mx + c. The slope 'm' quantifies the rate at which the line rises or falls as it moves horizontally along the x-axis. The greater the absolute value of the slope (|m|), the steeper the line.

To identify the steepest line among several equations, one must calculate and compare the absolute values of their slopes. Let's evaluate a few examples:

For y = -2x + 6, the absolute value of the slope is |2|.

For y = 8x - 1, the absolute value of the slope is |8|.

For y = -10x - 4, the absolute value of the slope is |10|.

For y = 7x + 3, the absolute value of the slope is |7|.

Comparing these absolute values, we find that 2 < 7 < 8 < 10. Therefore, the line with the steepest graph is y = -10x - 4. This line is closest to the y-axis, indicating the most significant vertical incline among the given equations.

Therefore, from the given options the correct one is A.

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There are eleven people on a softball team and nine different positions. Work through the questions to determine how many ways a coach can choose the players for the positions if Amy does not want to pitch

Answers

Answer:

19958400

10

8

1814400

Step-by-step explanation:

* Lets explain how to solve the problem

- Permutation is the act of arranging the members into order

- The number of permutations of n members taken r at a time is

  denoted by nPr

- nPr = n!/(n - r)! , where n! means n(n - 1)(n - 2)(n - 3) ......... × 1

* Lets solve the problem

- There are eleven people on a softball team

∴ n = 11

- There are nine different positions

∴ r = 9

∴ The number of ways can be made = 11P9

∵ 11P9 = 11!/(11 - 9)! = 11!/2! = 19958400

* The number of total arrangements of the player is 19958400

- If Amy does not want to play pitcher

∵ They are 11 players

∴ The number of players can be pitch = 11 - 1 = 10

* If Amy does not want to play pitcher, then there are now 10 people

 available to pitch

- Assuming the pitcher has already be chosen

∴ There are 10 remaining players

∵ The positions are 9

∴ The remaining positions = 9 - 1 = 8

* There are 8 remaining positions

- Lets find how many ways to arrange the remaining positions

∵ n = 10

∵ r = 8

∴ 10P8 = 10!/(10 - 8)! = 10!/2! = 1814400

* The number of ways to arrange the remaining players is 1814400

Answer:

19958400

10

8

Step-by-step explanation:

which of these is a complex number?

Answers

Answer:

Option A is correct.

Step-by-step explanation:

A complex number is that which has imaginary number i.e i in it.

We know √-1 = i

So, any term containing √-1 can be complex number.

In our question option A is only number having √-1 so, Option A i.e

[tex]\frac{2}{3} + \sqrt{-\frac{7}{3} }[/tex] is complex number.

Answer:

Option: A is the correct answer.

The one which is a complex number is:

              A.   [tex]\dfrac{8}{3}+\sqrt{-\dfrac{7}{3}}[/tex]

Step-by-step explanation:

We know that the complex number is one which is expressed in the form of :

                 a+ib

where a and b belongs to the set of real numbers.

and i is known as a imaginary number which is represented by:

            [tex]i=\sqrt{-1}[/tex]

A)

[tex]\dfrac{8}{3}+\sqrt{-\dfrac{7}{3}}[/tex]

This could also be written in the form of:

[tex]\dfrac{8}{3}+\sqrt{\dfrac{7}{3}\times -1}\\\\i.e.\\\\=\dfrac{8}{3}+\sqrt{\dfrac{7}{3}}\cdot \sqrt{-1}\\\\i.e.\\\\=\dfrac{8}{3}+i\cdot \sqrt{\dfrac{7}{3}}[/tex]

Hence, the number is in the form of:

              a+ib

where

[tex]a=\dfrac{8}{3}[/tex] which is a rational number and hence belong to real number

and

[tex]b=\sqrt{\dfrac{7}{3}}[/tex] which is a irrational number and hence belong to a real number.

20: the figure is a net of a rectangular prism with a length of 14 yards, a width of 12 yards, and a height of 4 yards.
a- 180 square yards
b- 672 square yards
c- 600 square yards
d- 544 square yards

21: a cylindrical water tower is 24 feet high and has a diameter of 20 feet. approximately how many cubic feet of water could the tower hold?
a- 2,400 cubic feet
b- 7,500 cubic feet
c- 9,600cubic feet
d- 30,200 cubic feet

Answers

The answer to Number 21 is A

Determine whether the following is a statistical question. In general how tall are giraffes? Help please

Answers

it is a statistical question due to you having to collect data to answer this question, you'd have to collect data on how tall the giraffes are and i'm sure they all don't grow up to be the same height so there will be differentiations in heights of all.

Answer:

what the other person said

Step-by-step explanation:

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