The height in ft of a rocket after x seconds is given by y=128-16x^2y. What is the maximum height reached by the rocket, and how long does it take the rocket to reach max height.

Answer: $50.99

Step-by-step explanation:

Given

The computer game is Priced at [tex]\$59.99[/tex]

It is marked down by [tex]15\%[/tex]

Final price is

[tex]\Rightarrow 59.99-15\%\ \text{of}\ 59.99\\\Rightarrow 59.99(1-0.15)=59.99\times 0.85\\\Rightarrow \$50.99[/tex]

Answer:

Classifying Polynomials

Polynomials can be classified two different ways - by the number of terms and by their degree.

1. Number of terms.

A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.

A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2

Practice classifying these polynomials by the number of terms:

1. 5y

2. 3x2-3x+1

3. 5y-10

4. 8xy

5. 3x4+x2-5x+9

Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial

2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

Examples:

5x2-2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.

3x4+4x2The highest exponent is the 4 so this is a 4th degree binomial.

8x-1 While it appears there is no exponent, the x has an understood exponent of 1; therefore, this is a 1st degree binomial.

5 There is no variable at all. Therefore, this is a 0 degree monomial. It is 0 degree because x0=1. So technically, 5 could be written as 5x0.

3x2y5 Since both variables are part of the same term, we must add their exponents together to determine the degree. 2+5=7 so this is a 7th degree monomial.

Classify these polynomials by their degree.

1.7x3+52+1

2.6y5+9y2-3y+8

3.8x-4

4.9x2y+3

5.12x2

Answers 1) 3rd degree 2) 5th degree 3) 1st degree 4) 3rd degree 5) 2nd degree

The polynomial 3x² + 8x  is a quadratic binomial.

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

Given, A polynomial 3x² + 8x.

Now, The highest power of the variable is 2 hence it is a quadratic polynomial and the number of terms is 2 hence it is a binomial also.

So, The polynomial 3x² + 8x is a quadratic binomial.

learn more about polynomials here :

https://brainly.com/question/11536910

#SPJ5

Answer:

5.41

Step-by-step explanation:

Answer:

option c: angle 3 and angle 5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The speed depends on how hard Sam throws the ball so the dependant variable would be the speed.

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 6 , then

y = 6x + c ← is the partial equation

To find c substitute (2, 19) into the partial equation

19 = 12 + c ⇒ c = 19 - 12 = 7

y = 6x + 7 → B

Answer:

B. y = 6x + 7

Step-by-step explanation:

Since the equation in slope: intercept form, y = mx + b, identify the slope of the line as the coefficient next to the variable x

y = 6x + 7, m = 6

Use the given slope and point to substitute into the point-slope formula

[tex]y - y1 = m (x-x1)[/tex]

Slope: intercept form:

y = 6x + 7

Point-slope form:

y - 19 = 6 (x - 2)

Answer:

525 miles

Step-by-step explanation:

420/12=35

35x15=525

Answer:

x ≈ 261 ft

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{200}{x}[/tex] ( multiply both sides by x )

x × sin50° = 200 ( divide both sides by sin50° )

x = [tex]\frac{200}{sin50}[/tex] ≈ 261 ft ( to the nearest foot )

x ≈ 261 ft

that is the answer

30 units²

Step-by-step explanation:

As it is a right angled triangle, we can get the area by simply applying the formula

Area = 1/2 × base × height

Taking the base as 12 and height as 5, we get

Area = 1/2 × 12 × 5

Area = 30 units²

Hope this helps! :D

Answer:

3x + 2(4x − 6) = 8x + 1

3x + (8x-12)=8x+1

-12=19x+1

-11=19x

-11/19     (Im pretty sure i did this right but at the same time im not, im sorry if i got this wrong)

Answer:

=13/3

Step-by-step explanation:

1. Distribute

3+2(4−6)=8+1

3+8−12=8+1

2. Combine like terms

3+8−12=8+1

11−12=8+1

3. Add 12 to both sides of the equation

11−12=8+1

11−12+12=8+1+12

4. Simplify

11=8+13

5. Subtract 8x from both sides of the equation

11=8+13

11−8=8+13−8

6. Simplify

3=13

7. Divide both sides of the equation by the same term

3=13

3x÷3=13÷3

8. Simplify

If you cancel terms that are in both the numerator and denominator you will get:

=13/3

I hope this helps

Answer:

5 workers

Step-by-step explanation:

Find how many hours 1 worker can dig 240 / 20 = 12

60 hours / 12 hours = 5 workers.

It takes 5 workers to dig for 60 hours when 20 workers dig for 240 hours.

Answer:5 workers

240/20=12

Step-by-step explanation:

Answer:

12, 24, and 60

Answer:

Volume of the triangular prism = 448 cm³

Step-by-step explanation:

Volume of the triangular prism = Area of the triangular base × Height of the triangular prism

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

= [tex]\frac{1}{2}(8)(16)[/tex]

= 64 units²

Volume of the triangular prism = 64 × 7

= 448 cm³

Answer: 6p=120

Step-by-step explanation:

Answer:

12m + 12 is one equivalent expression

Step-by-step explanation:

This can be found by distributing the numbers as shown below:

6(m + 2 + m)

6m + 12 + 6m

12m + 12

Awnser:

The awnser would be 8m in total.

Answer:

The value of x is dependant on the value of y.

Step-by-step explanation:

y = (number)x + (another number)

I need a PNG or  picture to give you a factual answer to the value of X.

9514 1404 393

Answer:

  k+4

Step-by-step explanation:

48 = 16×3 = 2^4×3

log2(48) = log2(2^4) +log2(3)

log2(48) = 4 + k

Answer: b or a

Step-by-step explanation:

Answer:

124.8 Inches

Step-By-Step

1/2 0.835 Inches = 0.4175

r = 0.4175

h = 0.077

A=2πrh+2πr^2

A=2π(0.4175)(0.077)+2π(0.4175^2)

A = 3.12

Nickel = 5 Cents

$2 = 200 Cents

200 / 5 = 40

(3.12)(40) = 124.8 In

Answer:

The answer is 0.8 in^2

Step-by-step explanation:

Data

diameter = 0.835 in

thickness = 0.077in

Roll of $ 2.00

Procedure

1.- Find the total number of nickels

# of nickels = 2/ 0.05

# of nickels = 40

2.- Calculate the Circumference

C = 2*pi*r

r = 0.077/2

r = 0.0385

C = 2*3.14*0.0385

C = 0.242 in

3.- Calculate the area of the thickness

Area = 0.242* 0.077*40

Area = 0.745 in^2

4.- Calculate the area of the base and the top

Area = 2*pi*r^2

Area = 2*3.14*(0.0382)^2

Area = 0.0093 in^2

5.- Calculate the total area of the roll

Total area = Area of the thickness + Area of the base and top

Total area = 0.745 + 0.0093

Total area = 0.7543 in^2 This is the result

Rounding to the nearest tenth = 0.8 in^2

Answer

4.958 grams

Step-by-step explanation:

Answer:

The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.

Step-by-step explanation:

Hope this helps

Answer:

205 feet

Step-by-step explanation:

44075/215= 205

Answer:

x = 158

Step-by-step explanation:

Given

885 = 5(x + 19) ← divide both sides by 5

177 = x + 19 ( subtract 19 from both sides )

158 = x

Answer: x=158

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer: 11b-33

Step-by-step explanation:

did this help

Hello.

In order to simplify the given expression, we need to use the Distributive Property, which states

a(b+c)=ab+ac.

So let's simplify it! :)

Multiply 11 times b and -3:

[tex]\Large\boxed{11b-33}[/tex]

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

Answer:

1071.61

Step-by-step explanation:

That's how much

Answer

1.5; log8 22.627

Step-by-step explanation:

Answer:

a I don't know I just guess I hope you got it right I hope