please help ;(
john is j years old. the product of his younger brother’s and older sister’s ages is j^2-2j-15. how old are john’s brother and sister is terms of john’s age?

Answer:

-21

Step-by-step explanation go up in negitive #s  just stay in negitive  

-14,-15,-16,-17,-18,-19,-20,-21!

Answer:

Step-by-step explanation:

This questions bothers permutation since permutation talks about arrangement.

The number of ways n objects can be arranged is n! ways

n! = n(n-1)(n-2)!

If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;

5! = 5*4*3*2*1

5! = 20*6

5! = 120 different arrangements

1. Because you know the number of gallons per square foot. You would want to use cubic feet for the measurement of the tank.

2. Convert all dimensions to feet:

1 yard = 3 feet

18 inches = 1.5 feet.

Volume of tank = 3 x 1.5 x 1 = 4.5 cubic feet.

Multiply gallons per cubic foot by cubic feet of tank:

7.5 x 4.5 = 33.75 gallons.

Answer: Its A

Step-by-step explanation:

Answer:

Yes, because the beginning number has to be between 1 and 10. If there is a 10 in the ones place, move the decimal to the left and increase the power.

Complete question :

Continent _________building _height(m)

________Carlton center office tower _ 223m

_________ burj Khalifa ____________828m

_________ QI ________________323

_________ the shard _________310

_________ Willis tower _______442

_________ grand torre ______300

Answer:

Kindly check explanation

Step-by-step explanation:

1 meter is approximately 3.28 feets

Height of the buildings in feets is obtained by multiplying the height in meters by 3.28

Carlton center office tower = (223 * 3.28) = 731.44 feets

Burj Khalifa = (828 * 3.28) = 2715.84 feets

QI = (323 * 3.28) = 1059.44 feets

The Shard = (310 * 3.28) = 1016.8 feets

Willis tower = (442 * 3.28) = 1449.76 feets

Grand Torre = (300 * 3.28) = 984 feets

Answer:

6.58

Step-by-step explanation:

divide 1.88 by 2 to get .94 because he gets her drinks half off. Next, multiply by 7 because there are seven days in a week. she will spend 6.58 a week on drinks.

Answer:

1.88/2  0.94x7 for one week Kelly will pay $6.58 for a sonic drink

the answer is B

Step-by-step explanation:

1.88/2= 0.94

0.94x7=6.58

for one week Kelly will pay $6.58 for a sonic drink

hope this helps:) have a good day :)

Answer:

The values which are added to the table are;

Sea turtles = 1, Jellyfish  = 3

Sea turtles = 4, Jellyfish  = 12

Jellyfish = 24, Sea turtles= 8

Sea turtles = 14, Jellyfish  = 42

Jellyfish = 60, Sea turtles= 20

Step-by-step explanation:

The given parameters are;

The ratio of sea turtles to jellyfish = 4:12

Therefore, the ratio of sea turtles to jellyfish = 1:3

Which gives;

When the number of sea turtles = 1, the jellyfish = 1 × 3 = 3 Jellyfishes

When the number of sea turtles = 4, the jellyfish = 4 × 3 = 12 Jellyfishes

When the number of sea jellyfishes = 24, the number of sea turtles = 24/3 = 8 sea turtles

When the number of sea turtles = 14, the jellyfish = 14 × 3 = 42 Jellyfishes

When the number of sea jellyfishes = 60, the number of sea turtles = 60/3 = 20 sea turtles

The values given in the table can be presented as follows;

Number of Sea Turtles    [tex]{}[/tex]                                          Number of Jellyfish

1                                             [tex]{}[/tex]                                           3

4    [tex]{}[/tex]                                                                                   12

8                                             [tex]{}[/tex]                                          24

14                                              [tex]{}[/tex]                                        42

20                                            [tex]{}[/tex]                                         60

Answer:

Step-by-step explanation:

Answer:

27000

Step-by-step explanation:

(2 * 10^4) + ( 7 * 10^3)

rewrite in standard form

20000 + 7000

solve

= 27000

Answer:

D

Step-by-step explanation:

The first step is to subtract 29.25 from 17.50

You get 11.75

Then divide 11.75 to 2.35

You get 5.

The reason you do these steps is because,

since you paid 17.50 for the pizza the rest is toppings so...

so you subtract from the total to see how much the toppings were worth in total...

you divide 2.35 from that to show how many toppings there would be

Answer:

D. 5

Step-by-step explanation:

Find the difference between the initial cost (17.50) and the final cost (29.25) by subtracting.

You should get $11.75 which represents how much he paid for toppings. It gives the value of each topping at $2.35 so now our last step is to divide $11.75 by $2.35. The answer is a perfect 5.

Comment if you need more help :)

Answer:

5(x + 3) = 3x - 4

=> (5 * x ) + (5 * 3) = 3x - 4

=> 5x + 15 = 3x - 4

=> 5x = 3x - 4 - 15

=> 5x - 3x = -4 - 15

=> 2x = -19

=> x = -19/2

=> x = -9.5

If my answer helped, kindly mark me as the brainliest!

Thank You!!

Answer: 39.

Step-by-step explanation:

As 3+3=6, 6+5=11,11+7=18,18+9=27,27+11=39.

Answer:

£390

Step-by-step explanation:

 The ratio of money in bank:

        Terry  :    Faye

             3      :     7

Terry put £220 in his account

Faye withdrew £300 from her account

 Unknown:

Initial amount Terry had = ?

Solution:

 Let the real amount terry has = 3x

  Faye will have = 7x

Now;

        3x + 220  = 7x -300

 Solving this equation:

         3x + 220  = 7x -300

       3x - 7x = -300 - 220  

           -4x  = - 520

             4x = 520

               x = 130

Originally, Terry has 3x = 3 x 130 = £390

Answer:

i got this on edg its b

Step-by-step explanation:

Answer:

rotation

Step-by-step explanation:

hope this helps

Answer:

Rotation (✿◠‿◠)

Answer:

B

Step-by-step explanation:

Answer:

44%

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

[tex]2 * 36 = 72\\ 3 * 24 = 72[/tex]

Answer:

Yes.

Step-by-step explanation:

2 times 36 = 72 and 3 times 24 = 72

Hope this helped! ^-^

Answer:

1) The engine torque is approximately 134.33 N·m

2) The speed of the engine  is approximately 4,469.15 revolutions per minute

Step-by-step explanation:

1) The drag coefficient, [tex]c_d[/tex], is given by the formula;

[tex]c_d = \dfrac{2 \cdot F_d}{\rho \cdot u^2 \cdot A}[/tex]

Where;

[tex]c_d[/tex] = 0.28

[tex]F_d[/tex] = The drag force

ρ = The fluid density = 0.00206 slugs/ft³ = 1.06168037 kg/m³

u = The object's flow speed = 130 mi/h = 58.1152 m/s

A = The frontal area = 19.8 ft² = 1.83948 m²

[tex]F_d = \dfrac{c_d \cdot \rho \cdot u^2 \cdot A }{2}[/tex]

∴ [tex]F_d[/tex] = (0.28 × 1.06168037 × (58.1152)² × 1.83948)/2 ≈ 923.4 N

We have;

[tex]F_d = \dfrac{M_e \cdot \varepsilon _0 \cdot \eta _d }{r}[/tex]

Where;

[tex]M_e[/tex] = The engine torque

ε₀ = The overall gear reduction ratio = 2.5

[tex]\eta _d[/tex] = The drivetrain efficiency = 0.88

r = The wheel radius = 12.6 inches = 0.32004 meters

[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d}[/tex]

[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d} \approx \dfrac{923.4 \times 0.32004 }{ 2.5 \times 0.88} \approx 134.33 \ N\cdot m[/tex]

The engine torque = [tex]M_e[/tex] ≈ 134.33 N·m

The engine torque ≈ 134.33 N·m

2) The speed of the engine, [tex]n_e[/tex], is obtained from the following formula;

[tex]v = \dfrac{2 \cdot \pi \cdot r \cdot n_e \cdot (1 - i)}{\varepsilon _0}[/tex]

Where;

v = The vehicle's speed = 130 mi/h = 58.1152 m/s

r = The wheel radius = 12.6 inches = 0.32004 meters

i = The drive axle slippage = 3% = 3/100 = 0.03

ε₀ = The overall gear reduction ratio = 2.5

[tex]\therefore n_e = \dfrac{v \times \varepsilon _0 }{2 \times \pi \times r \times (1 - i)} = \dfrac{58.1152 \times2.5 }{2 \times \pi \times 0.32004 \times (1 - 0.03)} \approx 74.486 \ rev /second[/tex]

The speed of the engine in revolution per minute = 60 seconds/minute × 74.486 rev/second ≈ 4,469.15 revolutions per minute

The speed of the engine  ≈ 4,469.15 revolutions per minute.

Answer:

120

Explanation:

Because I need 20 characters

Answer: The answer to this math question about finding The Least Common Multiple (LCM) of 15 and 8 is 120.

Step-by-step explanation: This is the same thing, according to the online calculator website called, "Calculatorsoup.com", I chose to find the list of the multiples given with the pair of the numbers, so anyways, here are the following steps in order to find The Lowest Common Multiple (LCM) with the given following pairs #15 and #8 are being shown here below:

1. Here are the list of the multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136.

2. Here are the list of the multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150.

I hoped that my given answer with my given explanation is very helpful to your own math question about finding The Lowest Common Multiple (LCM) of the given pair numbers, also using my given hint to find the first common multiple is also helpful to your own math question as well according to the online calculator website is called, "Calculatorsoup.com", that's all for today, please mark me as Brainliest and have a rest of a great day! :D

Sincerely,

Jason Ta,

The ambitious of Brainly and the role of The TDSB and WHCI Student of The High School.

Answer:

x = 6

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The square of the tangent is equal to the product of the measures of the external part and the entire secant, that is

x² = 4(4 + 5) = 4 × 9 = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

Answer:

The right answer is domain: (-∞, ∞); range: [-1, 1] ⇒ D

Step-by-step explanation:

In any function,

Domain is the values of x

Range is the values of y corresponding to x

In the function y = sin(x),

∵ The graph ends with arrows

→ That means there is many cycle not 1 cycle

∴ x ∈ R

→ That means x can be any value from -∞ to ∞

∵ x is the domain of the function

∵ R is the set of real numbers

∴ Domain = {x : x ∈ R} = (-∞, ∞)

∵ sin([tex]\frac{\pi}{2}[/tex]) = 1

∵ The greatest value of y is 1 at x = [tex]\frac{\pi}{2}[/tex]

∵ sin([tex]\frac{3\pi}{2}[/tex]) = -1

∵ The smallest value of y is -1 at x = [tex]\frac{3\pi}{2}[/tex]

∴ -1 ≤ y ≤ 1

∵ y is the range of the function

∴ Range = {y : -1 ≤ y ≤ 1} = [-1, 1]

∴ The right answer is domain: (-∞, ∞); range: [-1, 1]

Answer:

D: domain: (–ꝏ, ꝏ); range: [–1, 1]

Step-by-step explanation:

Hope this helps whoever needs more clarification.

the y-intercept is at (0,2) where it's touching the y-axis. That's why it's called y-intercept.

Hope thishelps!

Answer:

X = 5

Step-by-step explanation:

When the lines are parallel, the corresponding angles are equal in measure then:

m<2 = m<6

7x - 5 = x + 25

7x - x = 25 + 5

6x = 30

x = 5

Answer:

The graph of y = x^3 has been translated 3 units to the right and 4 units upward

Thanks and have a great day!

Complete Question

An open rectangular box with length of 6 feet, width of 4 feet and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.

A. Find the cost of painting this open box.

B. Find the weight of the water in the filled box

Answer:

A

[tex]x = \$ 294[/tex]

B

[tex]z =  3720 \  pounds[/tex]

Step-by-step explanation:

From the question we are told that  

  The length is  [tex]l  =  6 \ ft[/tex]

    The width is  [tex]b =  4 \ ft[/tex]

   The height is [tex]h  =  2.5 \  ft[/tex]

Generally the total surface area of the open, rectangular box is mathematically represented as

       [tex] T_ A = 2lb + 2lh + 2bh[/tex]

=>   [tex] T_ A = 2(6 * 4) + 2(6 * 2.5) + 2(4 * 2.5)[/tex]  

=>   [tex] T_ A = 98 \ ft^2 [/tex]

From the question we are told that

     $36.00 worth of paint  covers  [tex]12 ft^2[/tex]

So  $x worth of paint covers  [tex]98 \ ft^2[/tex]

=>  [tex]x = \frac{98 * 36}{12}[/tex]

=>   [tex]x = \$ 294[/tex]

Generally the volume of the open, rectangular box is mathematically represented as

     [tex]V  =  l *  b  *  h[/tex]

=>   [tex]V  =  6 *  4  *  2.5[/tex]

=>   [tex]V  =  60 \ ft^3 [/tex]

From the question we are told that  

[tex]1 ft^3[/tex]  weigh 62 pounds

[tex] 60 \ ft^3[/tex] weigh z pounds

=>  [tex]z = \frac{60 * 62}{1}[/tex]

=> [tex]z =  3720 \  pounds[/tex]