An object is launched directly in the air at a speed of 8 feet per second from a platform located 4 feet above the ground. The position of the object can be modeled using the function f(t)=−16t2+8t+4, where t is the time in seconds and f(t) is the height, in feet, of the object. What is the maximum height, in feet, that the object will reach?

Answer:

21.2 mm²

Step-by-step explanation:

Area of rectangle = base x height.

A(r) = b x h

Plug in the corresponding numbers to the corresponding variables:

A(r) = 5.3 x 4

A(r) = 21.2

21.2 mm² is your answer.

Answer:

4.23 feet

Step-by-step explanation:

We need to use the inverse sine function to solve for h. Since sine = opposite / hypotenuse, we can set up the equation like this: sin(30) = h / 25.5. To solve for h, isolate the h by multiplying both sides: h = 25.5 * sin(30). So the height of the triangle is approximately 4.23 feet.

Answer: [tex]\frac{3}{8}[/tex] = 37.5%

Step-by-step explanation:

Convert the fraction into a percentage.

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

Solve for x:

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

x = [tex]\frac{37.5}{100}[/tex] = 37.5%

Answer:

Now we can see that our fraction is 37.5/100, which means that 3/8 as a percentage is 37.5%.

Step-by-step explanation:

Answer:

447

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

The negatives cancel each other out and you are left with 15 times 4

[tex]\dfrac{ax}y =10\\\\\implies \dfrac{2x}{3} = 10\\\\\implies 2x = 30\\\\\implies x = \dfrac{30}2 = 15[/tex]

Answer:

x = 15

Step-by-step explanation:

[Given] ax/y=10

[Rewrite] [tex]\frac{ax}{y} =10[/tex]

[Plug-in] [tex]\frac{(2)x}{(3)} =10[/tex]

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

[Multiply both sides by 3] 2x = 30

[Divide both sides by 2] x = 15

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

D

Step-by-step explanation:

Got it right on test

Answer: The answer is letter B or letter D

D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Step-by-step explanation:  Find the degree of the function to determine if linear.  f ( x ) =  − 18 x 2 − 21 x − 6  is not a linear function

Expand the polynomial using the FOIL method.  f ( x ) =  − 18 x 2 − 21 x − 6

Answer:

ask sombody else

Step-by-step explanation:

guess we dont

Answer:

rise is 4 and run is 1 so 4/1 or 4

the answer is b

Hope This Helps!!!

Answer:

y = 3x - 7

Step-by-step explanation:

For an equation in the format y = ax + b, a is the slope and b is the y intercept.

Answer: C

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

ARC = [tex]\frac{g(b) -g(a)}{b-a}[/tex], b = 7, a = 1

24/6 = 4

Answer:

2 pounds

Step-by-step explanation:

Because 8 ounces = 0.5 pounds

1.5+0.5=2

Answer:

  (a)  8 1/2 ÷ 1/4

Step-by-step explanation:

Katie's total mileage is the product of the miles per day (1/4) and the number of days (n).

  miles = (1/4)n

If Katie jogged 8 1/2 miles, then we have ...

  8 1/2 = (1/4)n

We find the value of n (the number of days) by dividing both sides of this equation by the coefficient of n:

  (8 1/2) ÷ (1/4) = n

_____

Additional comment

If you consider the units, you know that the only possible operation is division. The number 8 1/2 has units of miles. The number 1/4 has units of miles per day.

  [tex]\dfrac{\text{miles}}{\left(\dfrac{\text{miles}}{\text{day}}\right)}=\dfrac{\text{miles}\cdot\text{day}}{\text{miles}}=\text{days}[/tex]

If you multiply, the product units are miles²/day. You cannot add or subtract numbers with different units. (They are not "like terms".)

As here, "units analysis" often tells you what math operations are needed, and which ones make no sense whatever.

Answer:

where is the problem to solve. please tell me

Answer:

It can either be 17593pi/9000 rad or if youre looking for a decimal answer is it 1.95pi and rad=6.14

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

I think it would be no solution

Step-by-step explanation:

since there is the same slope, the line would never cross. Also the determinate is 0 or 1/0, so there would be no solution

Answer: The other factor is 70

Explanation: 4,200 divided by 60 is 70.

Answer:

Three tenths/ 3/10

Step-by-step explanation:

1/5 divided by 2/3 is 0.3 which is equal to 3/10

Answer: 4 1/4 hours

Explanation: 2.5 + 1.75 = 4.25

4.25 = 4 1/4

Step-by-step explanation:

Given sets are :

A = {1, 2, 3}

B = {2, 3, 4}

AnB = {1, 2, 3} n { 2,3,4 }

AnB = {2,3}

Now

(AnB) X A

⇛ { 2,3 } X { 1 , 2, 3 }

⇛ { (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }

(AnB) X A for the given problem is

{ (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }

Answer:

22

Step-by-step explanation:

Answer:

No

But it us Near though

Step-by-step explanation:

9/15 or 3/5 =60%

The margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067

The formula for calculating the margin of error is expressed as:

[tex]e= z \cdot \sqrt{\frac{p(1-p)}{n} }[/tex]

p is the proportion

n is the sample size

Given the following parameters;

p = 75% = 0.75

n = 280

z = 2.576

Substitute into the formula

[tex]e=\sqrt{\frac{0.75(1-0.75)}{280} }\\e=\sqrt{\frac{0.1875}{280} } \\e=\sqrt{0.0006964} \\e=0.0258 \times 2.576\\e \approx 0.067[/tex]

Hence the margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067

Learn more on margin of error here: https://brainly.com/question/10218601

Answer:

7/10

Step-by-step explanation:

Have a nice day

Answer:

2.1

hope this helped