A ball is thrown into the air from a height of 4 feet with an initial velocity of 63 ft/sec. The function that models this situation is h(t) = –16t2 + 63t + 4, where t is measured in seconds and h is the height in feet.

(a) What is the height of the ball after 2 seconds?
(b) What is the maximum height of the ball?
(c) When will the ball hit the ground?
(d) What domain makes sense for the function?

Answer:

22/12

Step-by-step explanation:

The area of the triangle RTS will be (8×4) - 1/2 (16+12+10). Then the correct option is A.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

We start by drawing a rectangle around the triangle as shown in the diagram below.

Area of the RST = area of the rectangle - (area of triangle A + area of triangle B + area of triangle C)

[tex]\rm Area\ of\ RST = (8 \times 4) - [(\dfrac{1}{2} \times 8 \times 2) + (\dfrac{1}{2} \times 4 \times 3) + (\dfrac{1}{2} \times 5\times 2)]\\\\\\Area\ of\ RST = (8 \times 4) - \dfrac{1}{2} (16 + 12 + 10)[/tex]

The area of the triangle RTS is (8×4) - 1/2 (16+12+10).

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:Option A

Step-by-step explanation:

Answer:

The answer is option D - 1120°

1120° is the sum of the sixed marked angle in the picture. Therefore, the correct option is option D.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the size of such an angle or a rotational angle. The width of a circular path divided by its radius is the traditional definition of this metric, which may also be signed. 1120° is the sum of the sixed marked angle in the picture.

Therefore, the correct option is option D.

To know more about angle, here:

https://brainly.com/question/15277238

#SPJ7

Answer:

A. 9.0 seconds

Step-by-step explanation:

[tex]-3(2x+2) < 10\\\\\implies -6x -6 < 10\\\\\implies -6x < 10 +6\\\\\implies -6x < 16 \\\\\implies x > -\dfrac{16}6\\\\\implies x > -\dfrac{8}3[/tex]

Using compound interest and continuous compounding, it is found that it would take 2.61 years longer for Carter's money to triple.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

For Carter, we have that the rate of interest and the number of compoundings are, respectively, r = 0.04875 and n = 12. The time to triple is t for which A(t) = 3P, hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]3P = P\left(1 + \frac{0.04875}{12}\right)^{12t}[/tex]

[tex](1.0040625)^{12t} = 3[/tex]

[tex]\log{(1.0040625)^{12t}} = \log{3}[/tex]

[tex]12t\log{(1.0040625)} = \log{3}[/tex]

[tex]t = \frac{\log{3}}{12\log{(1.0040625)}}[/tex]

t = 22.58.

The amount of money is given by:

[tex]A(t) = Pe^{kt}[/tex]

For Jack, we have that the rate of interest is of k = 0.055, hence:

[tex]A(t) = Pe^{kt}[/tex]

[tex]3P = Pe^{0.055t}[/tex]

[tex]e^{0.055t} = 3[/tex]

[tex]\ln{e^{0.055t}} = \ln{3}[/tex]

[tex]0.055t = \ln{3}[/tex]

[tex]t = \frac{\ln{3}}{0.055}[/tex]

t = 19.97.

The difference is given by:

22.58 - 19.97 = 2.61

It would take 2.61 years longer for Carter's money to triple.

More can be learned about compound interest at https://brainly.com/question/25781328

Answer:

19

Step-by-step explanation:

you get the answers by counting all the x. every sttudent markes 1 x so the answer is 19

Answer:

Discriminant = 120

Number of x intercepts = 2

=========================================================

Explanation:

The equation is of the form ax^2+bx+c with:

a = -7

b = 8

c = 2

The discriminant is

d = b^2 - 4ac

d = 8^2 - 4(-7)(2)

d = 64 + 56

d = 120

The discriminant is positive, meaning there are 2 different x intercepts.

If d = 0, then we'd have only one x intercept.

If d < 0, then there wouldn't be any x intercepts.

Answer:

10

Step-by-step explanation:

The median is arranged in numerical value.

it goes: 4, 5, 9, 11, 12, 13. The median is basically the number in-between. you would cross out 4 and then 13. next, 5 and 12. Now there's 9 and 11 in the middle and that is what's left. the number in between of 11 and 9 is 10. 10 would be the median of the data set.

Answer:

1 hour and 5 minutes

Step-by-step explanation:

1 hour equals 60 minutes

60 plus 30 equals 90

90 plus 40 equals 130

130 divided by 2 is 65

65 is turned into 1 hour and 5 minutes

Hope this helps

Welcome to Brainly Community

Answer:

8cx - 22ac - 15bx + 45ab +18ax - 6bc.

Step-by-step explanation:

(8c-9b)(x-5a)+(3x+3c)(6a-2b)

= 8c (x-5a) -9b(x-5a) + 3x(6a-2b) + 3c(6a-2b)

= 8cx - 40ac -9bx + 45ab + 18ax - 6bx + 18ac - 6bc

Combining like terms:

=  8cx - 22ac - 15bx + 45ab +18ax - 6bc.

Answer:

8cx + 45ab + 18ax - 2bc - 15bx - 22ac

Step-by-step explanation:

Answer:

(x + 8)(x + 4)

Step-by-step explanation:

x² + 12x + 32                    Rewrite

x² + 4x + 8x + 32             Factor

x(x + 4) 8(x + 4)                

(x + 8)(x + 4)                    Final answer

Hope this helps!

Step-by-step explanation:

if x=1 --> 1 + 12 + 32 = 45

if x=2 --> 4+ 24 + 32 = 60

if x=3 --> 9+36+32 = 77

if x=4 --> 16 + 48 + 32 = 96

...

so, with the same logic we'll find the equation:

(x + 8)(x + 4)  

(because it's related to each of the equations on the top )                

I'm not sure if this is what you're looking for, if not tell me in the comments and I'll change my answer. Otherwise, I hope this answers your problem :)

Answer:

D. (5, 4)

Step-by-step explanation:

4x + y = 16       ----->     y = 16 - 4x

2x + 3y = -2

Substitute to find x

2x + 3(16 - 4x) = -2

2x + 48 - 12x = -2

-10x = -50

x = 5

Substitute to find y

4(5) + y = 16

20 + y = 16

y = 4

Final solution: (5, 4)

Hope this helps!

Answer:

40, or if you need it unrounded 40.3

Step-by-step explanation:

Answer:

Rational:2.1,2.2

Irrational:[tex]\sqrt{5},\sqrt{6}[/tex]

Step-by-step explanation:

Trial and error

Answer:

Step-by-step explanation:

The degree of each term in a polynomial is the exponent of the variable. If there are multiple variables in a term, the degree is the sum of their exponents. The degree of the polynomial is the highest of the degrees of the terms.

__

The three terms of the polynomial given here have degrees of 2, 0, and 3. Since the highest degree is 3, the polynomial is 3rd-degree, or "cubic." The "leading term" is the one of highest degree, and its coefficient is the "leading coefficient." The constant term is the one with degree 0 (no variables).

"The expression represents a cubic polynomial with 3 terms. The constant is -2, the leading term is 1/4x³, and the leading coefficient is 1/4."

Answer:

21

Step-by-step explanation:

You can tell that AB=2x7

BC=4x7

So, you're increasing each by multiplying each by 7.

3x7=21.

The sample regression y = 10 + 2x is a linear regression equation

The estimated value of y if x = 5 is 20

The sample regression equation is given as:

y = 10 + 2x

When x = 5, the equation becomes

y = 10 + 2 * 5

Evaluate the product

y = 10 + 10

Evaluate the sum

y = 20

Hence, the estimated value of y if x = 5 is 20

Read more about regression equations at:

https://brainly.com/question/25987747

Answer:

[tex] {x}^{2} = {8.6}^{2} + {11.5}^{2} \\ {x}^{2} = 73.96 + 132.25 \\ x = \sqrt{206.21} \\ x = 14.185 \\ x = 14.19[/tex]

14.19

Answer:

[tex]\boxed{A) \;m=\dfrac{1}{6} }[/tex]

Step-by-step explanation:

[tex]m=\dfrac{rise}{run}[/tex]

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{6-8}{-7-5}[/tex]

[tex]m=\dfrac{-2}{-12}[/tex]

[tex]m=\dfrac{1}{6}[/tex]

Hope it helps! :)

[tex]7x-4=\angle PQS\\\\\implies 7x-4 =38\\\\\implies 7x = 38+4\\\\\implies 7x = 42\\\\\implies x = \dfrac{42}7 \\\\\implies x = 6[/tex]

Answer:

7.2

Step-by-step explanation:

5x+2=38

5x=38-2

x=36/5

x=7.2

Answer:

"mix 1 cup of vinegar with 1 gallon of water"

1 cup = 8oz; 1/4 cup = 2oz

You can see that the amount of vinegar is 1/4 of the original amount,

so, we will need 1/4 of the amount of water, which is 1gallon = 128oz

so, 1/4 times 128oz = 32oz, which is one quart

Algebraically, 8oz : 128oz = 2oz : x

8x = 256; x = 32oz

The side of the square that is twice the area of one triangle (0.18 units²) is: 0.6 unit.

Area of a square = s², where s is the side length of the square.

1 square = 2(areas of triangles)

1 square = 2(0.18)

1 square = 0.36 units²

s² = 0.36

s = √0.36

s = 0.6 unit.

Length of the side of the square = 0.6 unit.

Llearn more about area of a square on:

https://brainly.com/question/813881

#SPJ1

Answer:

I'm sorry I don't know

Step-by-step explanation:

hopefully someone solves this!

The 9th term of the geometric sequence will be 41,990,400.

A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.

Let a₁ be the first term and r be the common ratio. Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The sequence is given below.

25, 150, 900, .....

The first term is 25 and the common ratio is calculated as,

r = 150 / 25

r = 6

Then the 9th term of the sequence is given as,

a₉ = 25 · (6)⁹⁻¹

a₉ = 25 · (6)⁸

a₉ = 25 · 1,679,616

a₉ = 41,990,400

The 9th term of the geometric sequence will be 41,990,400.

More about the geometric sequence link is given below.

https://brainly.com/question/11266123

#SPJ7