Find the value of x for which AE¯¯¯¯¯¯¯∥CD¯¯¯¯¯¯¯. answers: 43 31 47 121

Answer:

1,500 Kg

Step-by-step explanation:

Formual for froce is given by

force = mass * acceleration

Force exerted by 1 woman = 425 N

no. of women exerting force = 3

Force exerted by 3 woman = 425 * 3 N = 1275 N

Acceleration produced by 1275 N force = 0.85 m/s^2

Using formula force = mass * acceleration

1275 = mass *  0.85 m/s^2

=> mass = 1275/ 0.85 m/s^2 = 1,500 Kg

Thus, mass of car is 1,500 Kg.

Answer:

y=2x+3

Step-by-step explanation:

Parallel: slope is 2

y-1=2(x+1)

y-1=2x+2

y=2x+3

Answer:

SA=1200 in squared. V=2160 in cubed.

Step-by-step explanation:

Let's start with the surface area. The area of of a triangle is 1/2 x b x h. But we have 2 congruent triangle on the prism, so we have this.

2 x 1/2 x b x h.

The 2 and 1/2 cancel so we are left with b x h.

The other sides are easy.

Find the area of the sides we know that have base times height.

16 x 30 + 16 x 9 + 30 x 9...

To find the last side, we need to find the hypotenuse.

To find it, we use the pythagorean theorem.

a²+b²=c²

Use the values of the right triangle's dimensions and plug them in.

16²+30²=c²

256+900=c²

c²=1156

c=34

now using this, we have

16 x 30 + 16 x 9 + 30 x 9 + 9 x 34.

Now solve!

SA = 1200 in squared

The volume is easy.

All we need is the area of the triangular side and multiply it by the depth, 9.

16 x 30 x 1/2 =

240

240 x 9=

2160. in cubed

Answer:

[tex]\sqrt[4]{625x^{12}y^8} = 5 {x^3} {y^2}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[4]{625x^{12}y^8}[/tex]

Required

Simplify

We start by splitting the roots

[tex]\sqrt[4]{625x^{12}y^8} = \sqrt[4]{625}* \sqrt[4]{x^{12}} * \sqrt[4]{y^8}[/tex]

Express 625 as exponents

[tex]\sqrt[4]{625x^{12}y^8} = \sqrt[4]{5^4}* \sqrt[4]{x^{12}} * \sqrt[4]{y^8}[/tex]

From laws of indices

[tex]\sqrt[n]{a^m} = a^{\frac{m}{n}}[/tex]

So,

[tex]\sqrt[4]{625x^{12}y^8} = \sqrt[4]{5^4}* \sqrt[4]{x^{12}} * \sqrt[4]{y^8}[/tex] becomes

[tex]\sqrt[4]{625x^{12}y^8} = {5^\frac{4}{4}} * {x^\frac{12}{4}} * {y^\frac{8}{4}}[/tex]

[tex]\sqrt[4]{625x^{12}y^8} = 5 * {x^3} * {y^2}[/tex]

[tex]\sqrt[4]{625x^{12}y^8} = 5 {x^3} {y^2}[/tex]

Answer:

-0.3125

Step-by-step explanation:

Subtract 3.5 from both sides

4t = -1.25

Divide both sides by 4

t =. -0.3125

Answer:

1.3335

Step-by-step explanation:

Answer:

50 Swimmers

Step-by-step explanation:

If 4/10 swimmers are stingrays, that means that roughly 40% of the swimmers are stingrays. If there are 20 Stingrays and that is 40% of 100% swimmers it means that stingrays make up 2/5 of the swim team members. You can use this equation to cross multiply:

20/x = 40/100

20/x = 4/10

20/x = 2/5

x = 50.

This shows that there are 50 people on the team.

Answer:

use quizlet

Step-by-step explanation:

Answer:

8 and -2

Step-by-step explanation:

f (n) = n² − 6n − 16

[tex]\sf{Answer}\\[/tex]

→ A plane contain three non - collinear points.

Answer: 16/15

Step-by-step explanation:

2/5 + 2/3

(3/3)2/5 + (5/5)2/3

6/15 + 10/15 = 16/15

Answer:

1 1/15

Step-by-step explanation:

To solve this, you must find a common denominator.

The common denominator that comes to my mind is 15.

2/5 = 2*3/5*3

2/5= 6/15

2/3= 2*5/3*5

2/3= 10/15

6/15 + 10/15 = 16/15

16/15= 1 1/15

Answer:

The height would be 9.1923 ft

Answer:

The inverse is 1/3 (x+1)

Step-by-step explanation:

y = 3x-1

Exchange x and y

x = 3y-1

Solve for y

Add 1 to each side

x+1 = 3y-1+1

x+1 = 3y

Divide each side by 3

(x+1)/3 = 3y/3

1/3(x+1) =y

The inverse is 1/3 (x+1)

Answer:

The answer is B.

Step-by-step explanation:

You would pay about $20 each hour

Answer:

The answer is B)

Step-by-step explanation:

Answer:

x< -4 =   ( -∞, -4)

Answer:

14.28 percent

Step-by-step explanation:

Answer:

Step-by-step explanation:

the 30 year olds are more likely to pick chocolate as their favorite ice cream because the fraction of people who like chocolate is 14/20 where the other 3 are 4/20 and 2/20. this can be converted into percentages as well by multipling by 5. 70% of people who are in their 30s like chocolate opposed to the 20% and 10%.

Answer:

13/38

Step-by-step explanation:

the number of kids who have 1 sibling is 13

the total is 38

13/38

Answer:

[tex]-7x-3[/tex]

Step-by-step explanation:

[tex](f-g)(x)[/tex] just means [tex]f(x)-g(x)[/tex].

So

[tex]-3x-5-(4x-2)\\-3x-5-4x+2\\-7x-3[/tex]

Answer:

[tex]x^{2}[/tex]-2x-120

Step-by-step explanation:

Answer:

-5x^3 - x^2 - 2x + 5

Step-by-step explanation:

Rewrite the given expression in descending powers of x:

-5x^3 - x^2 - 2x + 5

Answer:

2x-3=2x-4

Step-by-step explanation:

2x-3=2x-4

-3=-4

Not true. Thus, no solution.

Answer:

say the equation was 2x - 5 = 2x -3

well the first thing I could do is subtract the 2x from both sides, but 2x is on both sides so there would be no x-value meaning there is no solution

Answer:

easy, if the intercepts or roots or zeros of the equation are r₁ and r₂ then 2 factors of the equatain are (x-r₁) and (x-r₂)

so

we see it intercepts the x axis at 1 and 6

r₁=1

r₂=6

therefore 2 roots are (x-1) and (x-6)

answer is 2nd option

Step-by-step explanation:

if

Answer:

b

Step-by-step explanation:

took the quiz got it right

Answer:

2x+5y = -15

Step-by-step explanation:

y+7= -2/5(x-10)

Multiply each side by 5 to get rid of the fraction

5(y+7)= 5*-2/5(x-10)

5(y+7)= -2(x-10)

Distribute

5y+35 = -2x+20

Add 2x to each side

2x+5y +35 = 2x-2x+20

2x+5y +35 = 20

Subtract 35 from each side

2x+5y+35-35 = 20-35

2x+5y = -15

Answer:

11

Step-by-step explanation:

check:

3+8=11

11-3=8

Answer:

6

Step-by-step explanation:

4 stickers each x 6 cards = 24 stickers used

you can try random numbers until you get your answer

Answer:

Total number of cards = 6

Step-by-step explanation:

Number of cards = Total number of stickers/ number of stickers per card

= 24/4

= 6

Answer:

C (2,5)

Step-by-step explanation:

Adding the equations, we get 10x+y=25

Multiplying that by 2 we get 20x+2y=50

Add that with the first equation, we get 24x=48, x=2.

Plugging x as 2 in, we see y = 5

So its (2,5)

1 pound (lb) is in 16 ounces (oz).

Answer:

16

Step-by-step explanation:

Stay safe and wear a mask!

Answer:

the range is from 0 to 6 , so 6

Step-by-step explanation:

Answer:

0-6

Step-by-step explanation:

i think

Answer:

4,424 cookies

Step-by-step explanation:

14 times 316 is 4,424 cookies.

Answer:

66.390

Step-by-step explanation:

Answer:

66.39

Step-by-step explanation:

The thousandth place is 0.00.  To round, look at the number right after it.  If the number is 4 or less, the number stays the same.  If the number is 5 or greater, the number is rounded up.

For 66.3899872389, the bold number is the number we are trying to round.  The number after it is 9.  This number is greater than 5 so you have to round up.

Your answer is 66.39.

This question is incomplete because it is not properly and correctly written.

Find attached to this answer a hand drawn sketch diagram of the Aquarium (rectangular prism) showing its dimensions.

Complete Question

The aquarium shown is a rectangular prism that is filled with water. You drop a spherical ball with a diameter of 8 inches into the aquarium. The ball sinks, causing the water to spill from the tank. How much water is left in the tank? Enter your answer to the nearest tenth. (Hint: 1 in³ = 0.00433 gal)

The dimensions of the rectangular prism is given as:

Height = 13 in

Width = 13 in

Length= 20in

The amount of water left is about ____ gallons.

Answer:

The amount of water left in the tank approximately to the nearest tenth is 13.5 gallons (gal) of water

Step-by-step explanation:

Step 1

We are given a rectangular prism with the dimensions :

Height = 13 in

Width = 13 in

Length= 20 in

The first step would be to find the Volume of the Rectangular prism

Volume of the rectangular prism = Length × Width × Height

= 20in × 13in × 13in

= 3380 in³

From the question, we are given the hint that

1 in³ = 0.00433 gal

This means that 1 in³ of an object contains 0.00433 gallons of water.

Therefore, if

1 in³ = 0.00433 gal

3380 in³ =

Cross multiply

2880 in³ × 0.00433 gal

= 14.6354 gal

This means the Aquarium (rectangular prism) contains 14.6354 gallons of water.

Step 2

A spherical ball with the diameter of 8 inches was dropped into the aquarium.

We would find the volume of the spherical ball.

Volume of the Spherical ball = 4/3πr³

Radius = Diameter ÷ 2

= 8 inches ÷ 2 = 4 inches.

Volume of the Spherical ball = 4/3 × π × 4³

Volume of the Spherical ball = 268.08in³

Step 3

We would be converting the Volume of spherical ball to gallons because this gives us the quantity of water spilled due to the sinking of the spherical ball

If , 1 in³ = 0.00433 gal

268.08in³ =

Cross multiply

268.08 in³ × 0.00433 gal

= 1.1607864 gal.

Step 4

The fourth and final step is to subtract the volume of water in the aquarium from the volume of water spilled

14.6354 gal - 1.1607864 gal

= 13.4746136 gal

Approximately to the nearest tenth = 13.5 gal

Therefore, the amount of water left in the tank approximately to the nearest tenth is 13.5 gallons (gal) of water.