can someone help me with this question

Answer:

Step-by-step explanation:

a) gradient of AB

  or

  Slope of AB

  [tex]Slope , m = \frac{y_B - y_A}{x_B - x_A}[/tex]

               [tex]=\frac{1 - 3 }{7 - 1 } \\\\=\frac{-2}{6}\\\\=-\frac{1}{3}[/tex]

b)

when lines are perpendicular to each other, the product of their slope = - 1

That is ,

           [tex]m_{AB} \times m_{perpendicular} = - 1 \\\\- \frac{1}{3} \times m_{perpendicular} = - 1\\\\m_{perpendicular} = - 1 \times \frac{-3}{1} = 3[/tex]

c) Equation of the line perpendicular to line AB and passing through ( 4 , 2 )

  [tex]( y - y_1) = m_{perpendicular} ( x - x_1) \ where \ (x_1 , y_ 1 ) = ( 4 , 2 ) \\\\( y - 2 ) = 3(x - 4 ) \\\\y = 3x - 12 + 2\\\\y = 3x - 10[/tex]

Answer:

D.   (-2, 0) and (3, 0).

Step-by-step explanation:

At the x -intercepts the function = 0, so

(2x + 4)(x - 3) = 0

2x + 4 = 0 and x - 3 = 0

x = -4/2 = -2 and x = 3.

So they are (-2, 0) and (3, 0).

x = 3 or x = -2

Step-by-step explanation:

f(x) = (2x + 4)(x - 3)

y = (2x + 4)(x - 3)

x - intercept occurs when y = 0

0 = (2x + 4)(x - 3)

0 = 2x² - 6x + 4x - 12

2x² - 2x - 12 = 0

(2x² - 2x - 12)/2 = 0/2

x² - x - 6 = 0

From the quadratic formula,

x = (-b +- √(b² - 4ac))/2a

x = (- ( -1 ) +- √(( -1)² - 4( 1 )( -6 )))/2( -1 )

x = (1 +- √(1 - ( -24)))/-2

x = (1 +- √25)/-2

x = (1 +- 5)/-2

x = 3 or x = -2

Answer:

The correct answer is - 768.

Step-by-step explanation:

The given question is based on a specific pattern present in between the numbers in the given series -

Series = 25 50 99 196 388

to find - next number in series

let us find the relation between the initial two number:

25 - 50, here number 50 is two times of 25 or (x*2-0)

relation between 2nd and 3rd number:

50 - 99, here 99 is two times of 50 minus 1 or (x*2-1)

relation between 3rd and 4th number:

99 - 196, here 196 is two times of 99 minus 2 or (x*2-2)

relation between 4th and 5th number:

196 - 388, here 388 is the two times of 196 minus 4 or (x*2-4)

So on this pattern, the next number would be = x*2-8

388*2-8

= 768

Answer:

This means the average amount of time is 48 minutes but many people will do it in 45 to 51

Hope This Helps!!!

Answer:

repeating due to the denominator

Step-by-step explanation:

11/15 = (11/5)×(1/3)

11/5 terminates after 1 place.

but 1/3 is repeating due to the denominator, and that propagates into the result of the multiplication.

======================================================

Explanation:

We know that the marble selected is red, so we don't need to focus on the other colors.

7 red marbles are in urn B out of 2+7+4 = 13 total red marbles.

The probability the red marble came from urn B is therefore 7/13

Answer:

El individuo poseía treinta millones.

Step-by-step explanation:                              

Podemos expresar la repartición del individuo como sigue:

[tex] x = \frac{x}{2} + \frac{x}{3} + \frac{x}{10} + 2000000 [/tex]

Dado que la suma de la repartición de la mitad que le da a su esposa (x/2), del tercio que le da a su único hijo (x/3), de la décima parte que le da a un sobrino (x/10) y de los dos millones que le da a una beneficiencia debe ser igual al monto incial que tenía (x).

Resolviendo la ecuación de arriba para "x" tenemos:

[tex] x - \frac{x}{2} - \frac{x}{3} - \frac{x}{10} = 2000000 [/tex]

[tex] x = 30000000 [/tex]

Por lo tanto, el individuo poseía treinta millones.

Espero que te sea de utilidad!                  

Answer:

V₂ = V₁ / 8

Step-by-step explanation:

Volume of sphere with radius of 6 = 288π

Volume of sphere with radius of 3 = 36π

the difference in volume after radius is halved is reduced 8 times so formula could be:

V (when radius is halved) = prior volume ÷ 8

V₂ = V₁ / 8

[tex]w - (14) < 8 \\ = w < 8 + 14 \\ \\ w = < 22[/tex]

Step by Step Explanation:

#CarryOnLearning

Answer:

x ≤ 11.20

Step-by-step explanation:

solve it like a regular equation

5x ≤ 67 - 11

5x ≤ 56

x ≤ 11 1/5

x ≤ 11.20

Answer:

b. 11% is a statistic and is represented symbolically as p = 0.11

Step-by-step explanation:

A statistic differ from a parameter in that, statistic is a numerical property or value derived from the sample while the parameter is a numerical property of the population. The percentage given, 11% who said that they had vaped on 1 or 2 days in the last 30 days is derived from the 15000 youths which is a sample and not a population, hence, 11% is a statistic, since it is expressed as a percentage, it is a proportion ;

Hence, 11% is a statistic and can be represented symbolically as p = 0.11

Answer:

it is a letter b

Step-by-step explanation:

that does not contain an outlet

Answer:

2 liter = 2000 ml

2000/250 = 8 bottles                                                                                             Step-by-step explanation:

Answer:

y*y*y*y*y*y*y*y

Step-by-step explanation:

(y^4)^2  =  y*y*y*y*y*y*y*y

Here the base (y) shows up as a multiplicand 8 times.  (y*y*y*y)(y*y*y*y) is equivalent.

Answer:

[tex](y^{4} )^{2}[/tex]

[tex]y^{8}[/tex]

seems like a strange question to make it

harder to read... but with no exponents it would look like this

y*y*y*y*y*y*y*y

Step-by-step explanation:

Problem 1

It's not clear if the person deposits at the start of the quarter, or at the end of the quarter. I'm going to assume they deposit at the end of the quarter. This means we go with an ordinary future value of annuity.

The formula we use is

F = P*( (1+i)^n - 1)/i

where,

In this case,

So,

F = P*( (1+i)^n - 1)/i

300,000 = P*( (1+0.02)^100 - 1)/0.02

300,000 = P*(312.232305912618)

P = (300,000)/(312.232305912618)

P = 960.823061288088

P = 960.82

You must deposit $960.82 per quarter

If you deposit that amount of money per quarter, for 100 quarters, then you deposited a total of 960.82*100 = 96,082 dollars in total.

The amount of interest is 300,000 - 96,082 = 203,918 dollars

============================================================

Problem 2

We use the same formula from problem 1. This time we know the periodic payment ($250 per month) and we want to find the value of F

More specifically, we have this given info:

So,

F = P*( (1+i)^n - 1)/i

F = 250*( (1+0.006)^360 - 1)/0.006

F = 317,306.360545277

F = 317,306.36

If you deposit $250 per month, for 360 months, then you'll have $317,306.36 in the account.

This includes interest. The total amount deposited, without interest involved, is 250*360 = 90,000 dollars.

Therefore, the amount of interest earned is 317,306.36 - 90,000 = 227,306.36 dollars.

-125

BEDMAS, like its counterpart BODMAS, is used as an acronym which gives the order of precedence of certain mathematical operations. It stands for:

B - Brackets

E - Exponentials

D - Division

M - Multiplication

A - Addition

S - Subtraction

This specifies the order in which arithmetic operations take place. That is brackets expressions should be solved first, followed by exponentials, then division and so on.

Using BEDMAS, let's solve 9+10-8(9)x2

Follow these steps;

i. Solve the bracket first.

9+10-72x2

ii. Next solve the multiplication

9+10-144

iii. Then solve the addition

19-144

iv. Now, the subtraction

-125

Therefore;

9+10-8(9)x2 = -125 using bedmas

Step-by-step explanation:

The length of the original cube is 5 inches.

Answer:

255.3 people

If you mean 11%, then:

25.3 people

Step-by-step explanation:

[tex]\frac{y}{230} :\frac{111}{100}[/tex]

y × 100 = 230 × 111

100y = 25530

100y ÷ 100 = 25530 ÷ 100

y = 255.3

If you mean 11%, then:

[tex]\frac{y}{230} :\frac{11}{100}[/tex]

y × 100 = 230 × 11

100y = 2530

100y ÷ 100 = 2530 ÷ 100

y = 25.3

Answer:

24/40

Step-by-step explanation:

You can multiply both the numerator and denominator by any number

Option #3: Lets multiply by 1/2 since when you multiply 6*1/2 it equals 3 and that is the same numerator as option #3 and so now let's do the same again to the denominator 10*1/2 equals 5 and that is NOT equal to 6 in the denominator for option #3 and you can't get 3 any other way than multiplying by 1/2 (same as *.5) and so it is wrong.

Now since we know how to do it I'll just do the math for the rest.

Option 1:

6/10

6*2/10*2

12/20 and that doesn't match so it's wrong.

Option 2:

6/10

6*4/10*4

=

24/40

It matches so it's correct let's try option 4 just to check.

Option 4:

6/10

6*2/10*2

12/20

that doesn't match so it's wrong (you could have tried multiplying by decimals by I doubt you are there to that kind of math yet.)

Answer: 24/40

Answer:

6 kwh

Step-by-step explanation:

(51 - 21.9)/4.66 = 6.24 => 6 kwh

Answer:

C. f(x)=|x|

Step-by-step explanation

Two straight lines denotes the mod which is a type of function which means it will always gives us a positive value (output) even on Nagative input, shown in the table, -2 2, -1 1, 0 0

For example,

|2|=2, |-2|=2

|1|=1

|-1|=1

Answer:

1/54

Step-by-step explanation:

1/9 x 1/6

A. 13

Explanation= 6 (sons) +6 (daughters) +1 (mother) = 13.

(notes: as a father is not within the problem, there is no reason to be in the answer)

Answer:

B)8

A mother has 6 sons.  If there is only one sister, than each son has a sister.  Don't forget to add the mother.  6 + 1 + 1

Step-by-step explanation:

Answer:

4/1440 or 1/360

Step-by-step explanation:

A day has 24 hours and 60 minutes in each hour.

24 × 60 = 1440

I hope this helps.

Answer:

4/1440 or 1/360

Step-by-step explanation:

one day have 24hr .when we convert it to minutes,it becomes 1440minutes. so fraction of 4 min in a day us 4/1440 or in equavalent fraction 1/360.

Answer:

x = 16

y = 5

Step-by-step explanation:

The three sides of an equilateral triangle are equal. Therefore:

3x + 1 = 49

Solve for x.

3x + 1 - 1 = 49 - 1

3x = 48

3x/3 = 48/3

x = 16

Also

18y - 41 = 49

Solve for y.

18y - 41 + 41 = 49 + 41

18y = 90

18y/18 = 90/18

y = 5

Answer: Rational

Step-by-step explanation: bc

Answer:

Step-by-step explanation:

3√5*√5+3√5*√2+ 4√2*√5+ 4√2*√2

15          +3√10     +  4√10    +  8

23+7√10

Answer:

L = 295ft

W = 95ft

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

If the length is 200 ft more than the width, then:

L = 200+W

Substitute

P = 2(200+W+W)

780 = 2(200+2W)

780 = 400+4W

4W = 780-400

4w = 380

W = 380/4

W = 95ft

Since L = 200+w

L = 200+95

L = 295ft