How many feet are in 1 yard? i yard is how many feet

Answers

Answer 1
Answer: There are 3 feet in one yard
Answer 2
Answer:

Answer:

One yard = 3 feet.

I hope this helps.


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A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the Boulder, h, in feet after t seconds is given by te function h=-16t^2+112t+30. How long does it take the Boulder to reach its maximum height? What is the Boulder's maximum height ? Round to the nearest hundredth , if necessary . Please , help . I am really stuck here

Answers

Answer:

 Boulder's maximum height is 226 ft.

 It take 3.5 seconds the Boulder to reach its maximum height.

Step-by-step explanation:

Given :  

A catapult launches a boulder with an upward velocity of 112 ft/s.  

The height of the Boulder, h, in feet  

After t seconds is given by the function :


h = -16t^(2) +112t+30     --(a)

A quadratic function can be graphed using a table of values. The graph creates a parabola.


If the coefficient of the squared term is positive then the parabola opens up and The vertex of this parabola is known as the minimum point.


If the coefficient of the squared term is negative then the parabola opens down and The vertex of this parabola is known as the maximum point.


Now we will use vertex formula to calculate t

When f(x)= ax^(2) +bx+c

then vertex will be

x=(-b)/(2a)

Now consider the given function:

h = -16t^(2) +112t+30


where a = -16

b=112

so using vertex formula :

t=(-112)/(2*(-16))

t=3.5

Thus,  it take 3.5 seconds the Boulder to reach its maximum height.

Now to calculate the Boulder's maximum height . Put value of t = 3.5 in given function (a)

h = -16(3.5)^(2) +112(3.5)+30  

h = -196 +392+30  

h = 226  

Thus,  Boulder's maximum height is 226 ft.

Well we first need to do the math problem 

-b/2a = -112/2(16) = 3.5 s t= 3.5s h = -16t^2 + 112t + 30 h = -16(3.5)^2 +122(3.5) +30 h = 226

adjust the windows to y=300

3.5 s; 226 ft

Write a compound inequality that represents the situation. On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour.A. 20 > x > 50

B. 20 ≤ x ≤ 50

C. 20 ≥ x ≥ 50

D. 20 < x < 50

Answers

Answer:

B. 20 ≤ x ≤ 50

Step-by-step explanation:

If the maximum speed is 50 miles per hour, that means it cannot go above 50 miles per hour, it has to be 50 miles per hour or less, which is expressed like this

x\leq 50

Now, if the minimum speed is 20 miles per hour, that means the speed can only be 20 miles per hour or more, that's represented as

x\geq 20

If we unit both expression, we would have the following compound inequality

20\leq x\leq 50

This means that the speed has to be 20 miles per hour or more, but 50 miles per hour or less.

Therefore, the right answer is

The correct answer is b. Hope that helps!

Simple interest.

2700=2200(1+r)^5

Answers

solve your equation step-by-step.

2700=2200(1+r)^5

Flip the equation.

2200(r+1)^5 = 2700

Divide both sides by 2200.

2200(r+1)^5 / 2200 = 2700 / 2200

(r+1)^5=27/22

Solve Exponent.

(r+1)^5=27/22

((r+1)5) ^1/5 = (27/22)^1/5 (Raise both sides to power)

r+1=1.041809

r+1−1=1.041809−1(Subtract 1 from both sides)

r = 0.041809

Check answers. (Plug them in to make sure they work.)

r = 0.041809 (Works in original equation)

2700=2200(r+1)^5\n(27)/(22)=(r+1)^5\n\sqrt[5]{(27)/(22)}=\sqrt[5]{(r+1)^5}\n(27)/(22)^(1)/(5)=r+1\nr=(27)/(22)^(0.2)-1\nr=1.0418-1\nr=0.0418

r = 0.0418

Henry can build 2 birdhouses in 30 minutes. how many birdhouses can he build in 4 hours?

Answers

2 birdhouses in 30 minutes = 4 birdhouses per hr.

for 4 hrs......4 x 4 = 16 birdhouses in 4 hrs

What is the solution to the equation 4 + 3sqrt 2y = 6

Answers

Answer:

the answer it's not correct because you have to put the 6x

Step-by-step explanation:

if you do not put an x after you put the number it would you would get it wrong

Solve for x: 2 over 3 (x - 4) = 2x.

Answers

2/3 (x - 4 ) = 2x

Simplify both sides of the equation.

2/3(x−4)=2x

Simplify:

2/3(x−4)=2x

(2/3)(x)+(2/3)(−4)=2x(Distribute)

2/3x+−8/3=2x

Subtract 2x from both sides.

2/3x+−8/3−2x=2x−2x

−4/3x+−8/3=0

Add 8/3 to both sides.

−4/3x+−8/3+8/3=0+8/3

−4/3x=8/3

Multiply both sides by 3/(-4).

(3/−4)*(−4/3x)=(3/−4)*(8/3)

x=−2

The correct answer for the value of for the expression (2)/(3)(x - 4) = 2x is

-2.

To solve for x in the equation:

(2)/(3)(x - 4) = 2x

First, distribute the (2)/(3) to the terms inside the parentheses:

(2)/(3) x - (2)/(3)*4 = 2x

(2)/(3) x - (8)/(3) = 2x

Next, Isolate the terms with x on one side of the equation.

Subtract  (2)/(3)x term from both side of the equation:

(2)/(3) x - (2)/(3) x-(8)/(3) = 2x-(2)/(3) x

(-8)/(3)  = (4)/(3) x

Now, Solve for x by multiplying both sides of the equation by the reciprocal of (4)/(3), which is (3)/(4):

(-8)/(3) * (3)/(4)= (4x)/(3) *  (3)/(4)

x= (-8)/(4)

Simplify further:

x = -2

The solution of the equation  (2)/(3)(x - 4) = 2x is x = -2.

Learn more about Simplification here:

brainly.com/question/24140794

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