A projectile is thrown upward so that it's distance above the ground after t seconds is h=-16t^2+480t. After how many seconds does it reach its maximum height?

Answer:

Result after multiplication of polynomial is: [tex]6x^3+13x^2-5x[/tex]

Degree of polynomial = 3

Step-by-step explanation:

The given polynomials are:

[tex]x(3x-1)(2x+5)[/tex]

In order to multiply the given polynomials we have to work step by step. First of all the polynomials in the bracket will be multiplied and then their result will be multiplied with x.

So, multiplying the polynomials in round brackets first

[tex]=x(3x-1)(2x+5)\\= x\{3x(2x+5)-1(2x+5)\}\\=x\{6x^2+15x-2x-5\}\\=x(6x^2+13x-5)[/tex]

Now multiplying with x

[tex]= 6x^3+13x^2-5x[/tex]

Degree of a polynomial is the highest exponent of variable in the polynomial.

In the acquired result, the highest exponent of x is 3 so the degree is 3.

Hence,

Result after multiplication of polynomial is: [tex]6x^3+13x^2-5x[/tex]

Degree of polynomial = 3

Answer:

Step-by-step explanation:

$ = $75 + $150m

$ = $75 = $150,000,000  ($150m is equal to $150 million)

$ = $150,000,075 (adding $150,000,000 and $75)

Answer: Each avocado cost $3

Equation: 23 - 4x = 11

Answer:

$3 per avocados

Step-by-step explanation:

23-11= 12. 12 divided by 4 = 3

Answer:

The difference is $5.62

Step-by-step explanation:

The total cost Marcus will pay is

35.99 + 5.5% of 35.99

= 35.99 + 0.055(35.99) = 35.99 + 1.97945 = 37.96945

The total cost Tai will pay is;

39.99 + 9% of 39.99

= 39.99 + 0.09(39.99) = 43.5891

The difference between the total costs will be;

43.5891 - 37.96945 = 5.61965

To the nearest cent, this is 5.62

Answer:

107.76

Step-by-step explanation:

We are told in the above question that:

He flew 3,610 miles in 33.5 hours. If he flew about the same number of miles each hour, how many miles did he fly each hour?

We solve the above question by:

33.5 hours = 3610 miles

1 hour = x miles

Cross Multiply

33.5 hours × x miles = 3610 miles × 1 hour

x miles = 3610 miles × 1 hour/33.5 hours

x miles = 107.76119403 miles

Approximately = 107.76 miles per hour

Therefore, he flew 107.76 miles each hour

Answer:

7

Step-by-step explanation:

Answer:

y=-3

y=3/4x +0

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

II side (given)

Angles between the congruent sides (vertically opposite angle)

III side (given)

Hence by, SAS the Triangles are congruent.

Answer:

ms baker

Step-by-step explanation:

9/10 = 90%

10/12= 83

Answer:

Ms.Baker

Step-by-step explanation:

9/10 > 10/12 or 0.9 > 0.833333. Next time try to make equivalent fractions with the same denominator or convert to decimal then compare.

Answer:

D) 117

Step-by-step explanation:

All angles of a triangle will always add up to 180 degrees. Thus, 22 + 41 = 63, 180 - 63 = 117.

Answer:

A = $ 7,449.23

A = P + I where

P (principal) = $ 5,000.00

I (interest) = $ 2,449.23

Step-by-step explanation:

Compound Interest Equation

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Compound Interest Formulas and Calculations:

Calculate Accrued Amount (Principal + Interest)

A = P(1 + r/n)^nt

Calculate Principal Amount, solve for P

P = A / (1 + r/n)^nt

Calculate rate of interest in decimal, solve for r

r = n[(A/P)(^1/nt) - 1]

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]

Formulas where n = 1 (compounded once per period or unit t)

Calculate Accrued Amount (Principal + Interest)

A = P(1 + r)^t

Calculate Principal Amount, solve for P

P = A / (1 + r)^t

Calculate rate of interest in decimal, solve for r

r = (A/P)1/t - 1

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = t = ln(A/P) / ln(1 + r) = [ ln(A) - ln(P) ] / ln(1 + r)

Continuous Compounding Formulas (n → ∞)

Calculate Accrued Amount (Principal + Interest)

A = Pe^rt

Calculate Principal Amount, solve for P

P = A / ert

Calculate rate of interest in decimal, solve for r

r = ln(A/P) / t

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / r

Given:

The team typically has 25% of the players in the tryouts process come back for a second evaluation.

The team asked 17 players back for a second evaluation.

To find:

The players showed up for the first tryout.

Solution:

Let x be the number of players showed up for the first tryout.

According to the question,

[tex]25\%\text{ of } x=17[/tex]

[tex]\dfrac{25}{100}x=17[/tex]

[tex]\dfrac{1}{4}x=17[/tex]

Multiply both sides by 4.

[tex]x=17\times 4[/tex]

[tex]x=68[/tex]

Therefore, 68 layers showed up for the first tryout.

Answer:

68

Step-by-step explanation:

Answer:

About 4 Hours

Step-by-step explanation:

60 X 4 = 240

You have 2 extra miles so it would be a little extra time.

Answer:

C.12

Step-by-step explanation:

Answer:

i dont exactly know but the answer is C ?

Step-by-step explanation:

Answer:

The answer is 0.

Search up "Linear Equation Calculator" and use one of those to get the work.

Answer:

No solution

Step-by-step explanation:

3(1-2x)>3-6x

3-6x > 3-6x

3            3

Answer:

8

Step-by-step explanation:

21x+12=180

21x= 168

x=8

Step-by-step explanation:

Both the angles added together create 180 degrees so,

15x+12+6x = 180

21x+12=180

21x=168

x=8

Answer:

On the number line:

a) 0.6666666667 scoops per powder

b) 0.625 scoops per powder

Step-by-step explanation:

For the Noah and Andres question:

To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water.

Unit rate = scoops per cup

= 4 Scoops/6 cups

= 2/3 scoops per powder

= 0.6666666667 scoops per powder

Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line?

Unit rate = scoops per cup

= 5 Scoops/8 cups

= 0.625 scoops per powder

Answer:

[tex](.2246 \\ 5513[/tex]

Answer:

-4, 3

The answer to the next question is: A (+4/3), B (+2/3), D (+2), E (+4), G (+1/3), H (+1)

Step-by-step explanation:

For edge:)

Rational root theorem is used to determine the potential roots of a function

The potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

The function is given as:

[tex]\mathbf{f(x) = 3x^2 - x - 4}[/tex]

p represents the leading coefficient, while q represents the constant term.

So, we have:

[tex]\mathbf{p = 3}[/tex]

[tex]\mathbf{q = 4}[/tex]

The factors of p and q, are:

[tex]\mathbf{p =\pm 1, \pm 3}[/tex]

[tex]\mathbf{q =\pm 1, \pm 2, \pm 4}[/tex]

So, the potential roots are:

[tex]\mathbf{Roots = \pm\frac{q}{p}}[/tex]

[tex]\mathbf{Roots = \pm\frac{\pm 1, \pm 2, \pm 4}{\pm 1, \pm 3}}[/tex]

So, we have:

[tex]\mathbf{Roots = \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

Hence, the potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

Read more about rational root theorems at:

https://brainly.com/question/9353378

Answer:

Step-by-step explanation:

P=2x+2y+4

y=p/2-x-2

The equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Solve for y P=2x+2y+4

From the data given in the question:

The linear equation is:

P=2x+2y+4

To solve for make the subject as y:

2y = P - 2x - 4

y = (1/2)[P - 2x - 4]

Or

y = P/2 - x - 2

Thus, the equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

The slope is -3

Step-by-step explanation:

y=-3x-9

Answer:

75 Sweets

Step-by-step explanation:

To get the answer you have to divide the number of sweets by the number of children. If there are 675 grams and 9 children, then you divide 675/9 to get your answer of 75 sweets.

Each child was given 75 grams of sweets as per linear equation when distributed.

A linear equation is an equation where the highest degree of the variable is one.

Given, there are a total of 675 grams of sweets.

There are a total of 9 children among which the sweets is to be distributed equally.

Therefore, each children will get sweets of

(675 ÷ 9) grams

= 75 grams.

Therefore, each child will get 75 grams of sweets when it is distributed equally.

Learn more about a linear equation here: https://brainly.com/question/18467717

#SPJ2

Answer:

A) 16/40

B) P(H)= 0.4

Step-by-step explanation:

A) 16+24=40 is your denominator.

16 times it landed heads up, so  16/40

B) 16/40 as decimal (16 divided by 40) = 0.4

P= probability

(h)= (Heads up)

Answer: 11.1 m

Step-by-step explanation:

This can be solved by the Pythagorean theorem where;

c² = a² + b²

c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.

a is the height

c is the length

32² = 30² + b²

b² = 32² - 30²

b² = 1,024 - 900

b² = 124

b = √124

b = 11.1 m

Answer:

Line MN is the answer

Step-by-step explanation:

Image SQ as a line that extends forever, if  you took line segment and also made it extend forever, then it would become parallel to line segment SQ, never touching or intersecting and going at the same angle.

Answer:

The correct option is;

Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

Step-by-step explanation:

The given function is f(x) = -0.1·cos(x) - 4

The parent cosine function is cos(x)

Therefore, f(x) = -0.1·cos(x) - 4 can be obtained from the parent cosine function as follows;

The negative sign in the function gives a reflection across the x-axis

The 0.1 factor of the cosine function gives a compression of 0.1

The constant -4, gives a vertical translation 4 units down

Therefore, the correct option is a reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down.

Answer:

✔ vertical compression by a factor of 0.5

reflection across the y-axis

✔ vertical translation 3 units down

vertical stretch by a factor of 0.5

✔ reflection across the x-axis

vertical translation 3 units up

vertical translation 0.5 units down

or A.), B.), and D.)

The function rule y = –0.5cos(x) – 3 describes graph

✔ c shown.

Answer:

Distrubutative property

Step-by-step explanation: