To pour the concrete sidewalk shown in the figure, approximately how many cubic feet of topsoil will you need to remove for the 4"-thick sidewalk if the owner wants the finish surface of the sidewalk to be level with the adjacent topsoil? ROUND YOUR ANSWER TO THE NEAREST CUBIC FOOT. _____ cu ft

Answer:

x3+2x2-17x+6.

Step-by-step explanation:

(x2+5x-2)(x-3)

= x(x2+5x-2)-3(x2+5x-2)

= x3 +5x2-2x-3x2-15x+6

Simplifying like terms:

= x3+2x2-17x+6

9514 1404 393

Answer:

  a) zeros: -2/3, 6

  b) x < -2/3, signs: -, -; sign of product: +

  -2/3 < x < 6, signs: +, -; sign of product: -

  x > 6, signs: + +; sign of product: +

  c) solution: x < -2/3 ∪ x > 6

Step-by-step explanation:

a) The zeros of the product are the values of x that make either factor zero. (A product is only zero if one of the factors is zero.)

  3x +2 = 0   ⇒   x = -2/3

  x -6 = 0   ⇒   x = 6

The zeros of the quadratic are x = -2/3 and x = 6.

__

b) For values of x left of the left-most zero, both factors are negative. For values of x between the zeros, the left factor is positive and the right factor is negative. For values of x greater than the right-most zero, both factors are positive. That is, for large negative values of x, all factors are negative. Working left-to-right, each time a zero is crossed, one factor changes sign.

__

c) The solution is where the signs of the factors match:

  x < -2/3 or -6 < x

The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm

Raised ? rabbit.​

Answer:

[tex]Distance = 38.57ft[/tex]

Step-by-step explanation:

Given

[tex]Base = 60[/tex]

[tex]\theta = 50[/tex]

Required

The distance between the top and John

The distance is calculated using:

[tex]sin\alpha = \frac{Distance}{Base}[/tex]

Where

[tex]\alpha = 90 - \theta[/tex] --- the angle between the diagonal line and the vertical line

[tex]\alpha = 90 - 50[/tex]

[tex]\alpha = 40[/tex]

So, we have:

[tex]Sin(40) = \frac{Distance}{60}[/tex]

[tex]Distance = 60 * sin(40)[/tex]

[tex]Distance = 60 * 0.6428[/tex]

[tex]Distance = 38.57ft[/tex]

[tex]Distance = 986 * tan(38)[/tex]

[tex]Distance = 986 * 0.7812[/tex]

[tex]Distance = 770ft[/tex] --- approximated

You did not give is choices to choose from.

|7 + 9| is the same as |-7 - 9|.

|16| is the we same as |-16|.

Answer:

A. 12/13

Step-by-step explanation:

Remember SOH, CAH, TOA.

In this situation, the function is sine so sine= opposite/hypotenuse.

The side opposite of K is 12.

The hypotenuse is the longest side so it will be 13.

Therefore, sineK= 12/13(a)

Answer:

12/13

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

From the picture attached,

In the given triangles ABC and ADC,

m(∠B) = m(∠D) [Given]

AC ≅ CA [Reflexive property]

But in the absence of third property of congruence ΔABC and ΔADC can't be congruent.

Option A is the answer.

answer:

he would use 3 cups of sugar and would need to multiply

step-by-step explanation:

6 X 1/2 = 3 cups of sugar

Answer:

$1,422.87

Step-by-step explanation:

Answer: 1422.9

Step-by-step explanation:

Answer:

2 in 52                simplified- 1 in 26

Step-by-step explanation:

Answer:

la verdad que depende de la situación

Answer:

40(?)

I don't remember exactly if that's correct, but I hope it's right! Comment if you want the explanation

Answer:

Capacity of tank = 44,000 l

Step-by-step explanation:

Given:

Height of tank = 3.5 m

Radius = 2 m

Find:

Capacity of tank

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (22/7)(2)²(3.5)

Volume of cylinder = 44 m³

1m³ = 1000 l

So,

Capacity of tank = 44  x 1,000

Capacity of tank = 44,000 l

Answer: 20 students

Step-by-step explanation: 20 students who take the bus to school. Therefore thirty students do not take the bus to school.

Answer:

4 9/14

Step-by-step explanation:

Answer:

The answer is 4 9/14

Answer:

true

Step-by-step explanation:

Answer:

You have to deposit $8,207.5 today.

Step-by-step explanation:

Compound interest:

The amount of money in yearly compounded interest, after t years, is given by the following equation:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the initial deposit and r is the interest rate, as a decimal.

You would like to have $10,000 in an account after eight years time.

This means that when [tex]t = 8, A(t) = 10000[/tex]

2.5% compounded interest

This means that [tex]r = 0.025[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = A(0)(1+0.025)^t[/tex]

[tex]A(t) = A(0)(1.025)^t[/tex]

How much would you have to deposit today?

We have to find A(0), when [tex]t = 8, A(t) = 10000[/tex]. So

[tex]A(t) = A(0)(1.025)^t[/tex]

[tex]10000 = A(0)(1.025)^8[/tex]

[tex]A(0) = \frac{10000}{(1.025)^8}[/tex]

[tex]A(0) = 8207.5[/tex]

You have to deposit $8,207.5 today.

Answer: Your splitting 1 into 4 parts and I don't think anything here tells me you need to simplify bc then it would be, 1/2, which is not 3/4. It's like having one quarter that equals 25c, 50, 75, a 1.00, but it's 0.25 and 0.75?

Step-by-step explanation:

Answer:

angle k is equal to 58 and angle is equal to 60

Answer: 116.67

Step-by-step explanation:

30/100 * x = 35

3/10 * x = 35

3x = 350

x = 116.67

Answer:

question of number 10 is 3

Answer: 18 questions

Step-by-step explanation:

First we want to make 60% a decimal so we divide by 100.

This gives us 0.6

Then we multiply 30*0.6=18

18 questions

Answer:

More than 50 cups will land on its side.

Answer:

d. distributive property

Step-by-step explanation:

Answer:

sin2θ = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

Since, sin2θ = 2sinθcosθ

From the triangle given in the picture,

Opposite side of angle θ = 2 units

Adjacent side of angle θ = 3 units

Hypotenuse = [tex]\sqrt{2^2+3^2}[/tex] = [tex]\sqrt{13}[/tex] [By Pythagoras theorem]

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

       = [tex]\frac{2}{\sqrt{13}}[/tex]

cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

        = [tex]\frac{3}{\sqrt{13} }[/tex]

sin2θ = [tex]2\times (\frac{2}{\sqrt{13}})(\frac{3}{\sqrt{13}})[/tex]

         = [tex]\frac{12}{13}[/tex]

Answer:

m<YVX = 49°

Step-by-step explanation:

Given:

m<YVZ = 52°

m<ZVW = 36°

m<XVU = 43°

m<YVX + m<YVZ + m<ZVW + m<XVU = 180° (angles in a straight line)

m<YVX + 52 + 36 + 43 = 180 (substitution)

m<YVX + 131 = 180

m<YVX = 180 - 131

m<YVX = 49°

Answer:

2x-4

Step-by-step explanation:

5x-(4+3x)

5x-4-3x

5x-3x-4

2x-4

Answer:

60th position is the first child that gets all 3 items

Step-by-step explanation:

Find the LCM of 3 , 5 and 4.

Least common multiple of 3 , 4 and 5 = 3 * 4 * 5 = 60

Answer:

3,6,9,12,

4,8,12,16,

5,10,15,

in 60th position

60is the first number that can be divided by 60/3=20 60/4=15 60/5=12