Pierre throws a snowball up in the
air. The height of the snowball in
feet, h(x), can be represented by
h(x) = -0.5x2 + 6x + 4, where x is
the horizontal distance the snowball
travels in feet. Pierre wants to
know how far the snowball has
traveled when the height is 20
feet.

Answer:

86% of original (with tax included)

Step-by-step explanation:

(16 000 x 1.075) / 20 000   x 100%  = 86 %

Answer:

-8, 13

-3, 8

6, -1

10, - 5

Step-by-step explanation:

let's firstly convert the mixed fractio to improper fraction.

[tex]\stackrel{mixed}{3\frac{1}{6}}\implies \cfrac{3\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{19}{6}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{array}{ccll} Km s&Hour\\ \cline{1-2} \frac{19}{6}&\frac{1}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{19}{6}~~}{x}~~ = ~~\cfrac{~~ \frac{1}{4}~~}{1}\implies \cfrac{~~ \frac{19}{6}~~}{\frac{x}{1}}=\cfrac{1}{4}\implies \cfrac{19}{6}\cdot \cfrac{1}{x}=\cfrac{1}{4} \\\\\\ \cfrac{19}{6x}=\cfrac{1}{4}\implies 76=6x\implies \cfrac{76}{6}=x\implies \cfrac{38}{3}=x\implies 12\frac{2}{3}=x[/tex]

Answer:

2y² + 12y + 18

Step-by-step explanation:

2(y + 3)²

First use formula (a + b)² = a² + 2ab + b² to expand (y + 3)²:

(a + b)²

(y + 3)²

y² + 2*y*3 + 3²

y² + 6y + 9

Dont forget the 2:

2(y² + 6y + 9) <== distribute and multiply

2y² + 12y + 18

Hope this helps!

Answer: 6

Step-by-step explanation:

The length of all sides of the square ceiling is 15 ft

Perimeter of the ceiling = 4 * length of each side = 15 * 4 = 60 ft

Distance from one corner to another corner i.e. BD and AC (in the figure below) forms the diagonals of the square ceiling

We know that,

Diagonal of a square = √(2) * a , where a is the length of the side of the square.

Therefore,

BD = AC = 15 √(2)

Thus,

Total crepe paper required = Perimeter of the ceiling + BD + AC = 60 + 15 √(2) + 12 √(2) = 102.43 ft

Crepe paper in each roll = 20 ft

Therefore,

Number of rolls required = 102.43 / 20 = 5.1215

Therefore, the minimum number of rolls she should buy is 6

Answer:

994

Step-by-step explanation:

Answer:

994

Step-by-step explanation:

Given the expression

[tex](8+t)^{3}-6[/tex]

Also given

[tex]t=2[/tex]

We can substitute 2 for t.

[tex](8+2)^{3}-6[/tex]

Do the parenthesis first.

[tex]8+2=10[/tex]

Therefore

[tex]10^{3}-6[/tex]

Evaluate [tex]10^{3}[/tex]

[tex]10^{3}=1000[/tex]

[tex]1000-6=994[/tex]

Answer:

200

Step-by-step explanation:

156.7

since the number before the hundred is more than 4

it becomes 200

Answer:

m∡EFG = 139°, and m∡ IFH = 49°

Step-by-step explanation:

We know that vertical angles are congruent so we can say that

∡EFG ≅∡DFH and that ∡EFD≅∡GFH

Congruent angles have the same measure therefore

∡EFG = ∡DFH  = 6x+25 and

∡EFD = ∡GFH = 2x+3

Use that all those angles add up to 360° to find x

∡EFG +∡GFH +∡DFH + ∡EFD = 360°, substitute the given measures

6x+25 +2x+3 + 6x+25 +2x+ 3 = 360 , combine like terms

16x + 56 = 360, subtract 56 from both sides

16x = 304, divide both sides by 16

x = 19

m∡EFG = 6x +25 , substitute x with 19 and calculate

m∡EFG = 6·19 +25

m∡EFG = 139°

m∡ IFH = 90°- m∡GFH, substitute m∡GFH with 2x+3

m∡ IFH = 90°- (2x +3), substitute x with 19

m∡ IFH = 90°- (2·19 +3)

m∡ IFH = 90°- 41

m∡ IFH = 49°

Answer:

A. 6,8,10

Step-by-step explanation:

For a right triangle the the values for the three sides we pick must satisfy the Pythagorean theorem:

a(2 + b(2= c(2

A. 6,8,10

6(2 + 8(2 = 10(2

36 + 64 = 100

100 = 100

Bingo!

(For example lets solve the rest)

B. 2,4,6

2(2 + 4(2 = 6(2

4 + 16 = 36

20 ≠ 36

Nope.

C. 1,2,3

1(2 + 2(2 = 3(2

2 + 4 = 9

6 ≠ 9

No again!

D. 2,3,4

2(2 + 3(2 = 4(2

4 + 9 = 16

13 ≠ 16

Not this one.

Therefore our answer is A.

Answer:

infinitely many

Step-by-step explanation:

5x+3(x-1)=10x-2x-3

5x+3x-3=10x-2x-3

8x-3=8x-3

Answer:

76 m

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

First of all, we know all of the sides already except for two, so we need to find them. (The side on the very left and top).

The side on the very top is 18 since the top and bottom are the same lengths. This also implies to the side on the very left. The sides (4+4+4) is equivalent to the side we are trying to find. We now know it is 12.

Second, to find the perimeter of almost every shape, we add all of the sides together.

18+4+8+4+8+4+18+12

This gives the answer of 76 m. (don't forget the label!)

There are three values of x where the instantaneous rate of change of f(x) are equal in the open and closed intervals

The function is given as:

[tex]f(x) = \frac 14x^4 - \frac 23x^3 + \frac 12x^2 - \frac 12x[/tex]

Calculate f(0)

[tex]f(0) = \frac 14 * 0^4 - \frac 23 * 0^3 + \frac 12 *0^2 - \frac 12 * 0[/tex]

[tex]f(0) = 0[/tex]

Calculate f(1.565)

[tex]f(1.565) = \frac 14 * 1.565^4 - \frac 23 * 1.565^3 + \frac 12 *1.565^2 - \frac 12 * 1.565[/tex]

[tex]f(1.565) = -0.613[/tex]

The average rate of change is then calculated using:

[tex]m = \frac{f(1.565) - f(0)}{1.565 - 0}[/tex]

This gives

[tex]m = \frac{-0.613 - 0}{1.565 - 0}[/tex]

[tex]m = -0.392[/tex]

Differentiate the function f(x)

[tex]f'(x) = x^3 - 2x^2 + x - \frac 12[/tex]

Set f'(x) to [tex]m = -0.392[/tex]

[tex]x^3 - 2x^2 + x - \frac 12 = -0.392[/tex]

From the graph of the above equation (see attachment), we have three values of x at:

x = 0.1492, x = 0.5614 and x = 1.2894

Hence, there are three values of x in the open interval (0,1.565)

Read more about instantaneous rate at:

https://brainly.com/question/24592593

Answer: C

Step-by-step explanation:

[tex]\left(2x+3\right)\left(x+5\right)[/tex]

[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]=2xx+2x\cdot \:5+3x+3\cdot \:5[/tex]

[tex]$$Simplify[/tex]

[tex]=2x^2+13x+15[/tex]

Answer:

[tex]12x+16x~ \text{and}~ 4(3x+4x)[/tex]

Step-by-step explanation:

[tex]4(3x+4x) =4\cdot 3x +4\cdot 4x= 12x + 16x[/tex]

Answer:

Step-by-step explanation:

rearrange the equation to the letter on the left side until you find an equation equal to one of the answers

Answer:

C is the answer please

C. 5^5/4

Answer:

the answer ios yes

Step-by-step explanation:

55-243 equals the sum of 11

Answer:

second option is correct onee

Step-by-step explanation:

mark me brainliest

Answer:

600 cm squared :)

Step-by-step explanation:

Surface area of cube: 6 x s^2

Now lets solve!!

6 x 10^2

6 x 100

600

Have an amazing day!!

Please rate and mark brainliest!!

Hey there!

1/15 ÷ 8

= 1/15 ÷ 8/1

= 1/15 × 1/8

= 1 × 1 / 15 × 8

= 1 / 120

Therefore, your answer is: 1/120

Good luck on your assignment & enjoy your day!

~Amphirite1040:)

Answer:

the future value would be 473.72 if p is referring to future value

if p is referring to present value it is 121.59

if p is referring to payment it is 58.37

Step-by-step explanation:

you can use spreadsheets to solve this equation using =pmt/=fv/=pv

Step-by-step explanation:

[tex]s .i = \frac{prt}{100} [/tex]

[tex]240 = p \times \frac{12}{100} \times 6[/tex]

[tex]240 = \frac{18}{25} p[/tex]

[tex]240 \div \frac{18}{25} = p[/tex]

[tex]p = 333.3333[/tex]