Pretzels are given away for free at a local store. The tray is constantly replenished as people take the pretzels.The number of pretzels in the tray is given by the function P(t) = 20 + t^2 − 8cosπt , where t is measured in minutes. When t = 1 minute, find the average rate of change of pretzels in the tray over the next 30 seconds.

Answer:

The maximum height of the rocket is about 391.1 feet.

Step-by-step explanation:

The height of the rocket y in feet x seconds after launch is modeled by the equation:

[tex]y=-16x^2+125x+147[/tex]

We want to find the maximum height reached by the rocket.

Since this is a quadratic equation, the maximum height occurs at the vertex. The vertex of a quadratic is given by:

[tex]\displaystyle \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -16, b = 125, and c = 147.

Thus, the x-coordinate of our vertex is:

[tex]\displaystyle x=-\frac{125}{2(-16)}=\frac{125}{32}[/tex]

To find the maximum height, we will substitute this value back in. So:

[tex]\displaystyle y_{\text{max}}=-16\left(\frac{125}{35}\right)^2+125\left(\frac{125}{32}\right)+147\approx391.1\text{ feet}[/tex]

The maximum height of the rocket is about 391.1 feet.

Answer:

400 batches of cookies

Step-by-step explanation:

4 hours = 100 cookies

8 hours = 200 cookies

12 hours = 300 cookies

16 hours = 400 cookies

[tex]f(x) = 3x - 5[/tex]

.

[tex]f(0) = - 5[/tex]

[tex]f(3) = 4[/tex]

.

[tex]3b - 0b = 4 - ( - 5)[/tex]

[tex]3b = 9[/tex]

[tex]b = \frac{9}{3} \\ [/tex]

[tex]b = 3[/tex]

.

[tex]f(1) = f(0) + b[/tex]

[tex]f(1) = - 5 + 3[/tex]

[tex]f(1) = - 2[/tex]

.

.

[tex]f(x) = f(1) + (x - 1)b[/tex]

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

[tex]f(x) = - 2 + 3x - 3[/tex]

[tex]f(x) = 3x - 3 - 2[/tex]

[tex]f(x) = 3x - 5[/tex]

[tex] \rm{}fumction \to \boxed{f(x) = 3x - 5}[/tex]

.

#LearnWithBrainly

Answer:

r≈0.32Step-by-step explanation: please give brainlest

Answer:

I believe the answer is 3

Answer:

1) markdown

2) percent error

3) principle

4) percent change

Step-by-step explanation:

markdown

percent error

principle

percent change

Hope I could help <3

Answer: [tex]y=-\frac{3}{2}x+12[/tex]

Step-by-step explanation:

To find the equation of line B, we need to find the slope first, then the y-intercept. We first want to convert line A into slope-intercept form, so we can find the slope.

[tex]3x+2y=10[/tex]            [subtract both sides by 3x]

[tex]2y=10-3x[/tex]            [divide both sides by 2]

[tex]y=5-\frac{3}{2}x[/tex]

With the slope-intercept form of line A, we can see that the slope is [tex]-\frac{3}{2}[/tex]. We take the slope and the given point (4,6) to find the y-intercept of line B.

[tex]y=-\frac{3}{2}x+b[/tex]            [plug in (4,6)]

[tex]6=-\frac{3}{2}(4)+b[/tex]         [multiply]

[tex]6=-6+b[/tex]              [add both sides by 6]

[tex]b=12[/tex]

With the y-intercept, we know the equation for line B is [tex]y=-\frac{3}{2}x+12[/tex].

Answer:

subtract 14 from 4..then divide it by -2

your answer is then p>5

Step-by-step explanation:

hope this helpssss:)

Answer:

420

Step-by-step explanation:

(Have a great day)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1!!!

Answer:

26 gallons of gas

Step-by-step explanation:

168 miles = 14 gallons of gas

312 miles = x gallons of gas

168 miles/14 gallons of gas = 312 miles/x gallons of gas

x = [tex]\frac{312 * 14 }{168}[/tex]

x = 26 gallons of gas

I think this is the answer

Answer:

I didn't understand your question

Answer:

m

Step-by-step explanation:

it should be

Answer:

-$12

Step-by-step explanation:

Add the spendings

$81+$44=$125

Subtract base number and solution

$114-$125=-$11

-$12 is a greater debt than -$11

Answer:

18

Step-by-step explanation:

216/12

Answer:

18 sprinkles per cupcake

Step-by-step explanation:

Find the "unit rate."    That's (216 sprinkles) / (12 cupcakes), or

18 sprinkles per cupcake.

Answer:

64

Step-by-step explanation:

Answer:

The length of each side is 64

Step-by-step explanation:

This is because the way it's being measured is with cubic meters.

Answer:

166.52 cubic feet.

Step-by-step explanation:

We can Know the volume of a by using the expression below

V =[ (4/3)πr^3] .............eqn(1)

Given Diameter= 8.6 ft

radius= Diameter/ 2 = (8.6 ft)/2 = 4.3 ft

Eqn(1) gives the formula for volume of a WHOLE sphere, but what we need is

HALF of whole sphere, then we have

V =[ (4/3)πr^3] / 2

Then eqn(1) becomes [ (2/3)πr^3]

Volume of hemisphere

= [ (2/3)πr^3].....eqn(2)

If we substitute into eqn(2) we have

Radius= 4.3 ft

V(hemisphere) = (2/3)π(4.3)^3

= 166.52 cubic feet.

Hence, the volume of a hemisphere is

166.52 cubic feet.

Step-by-step explanation:

A(-5,1) and B(0,4)

[tex]m \: = \: \frac{y2 - y1}{x2 - x1} [/tex]

X1=0 , Y1=4 X2= -5 , Y2=1

[tex]m \: = \: \frac{3 }{5} [/tex]

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

y - 4 = ⅗(x-0) ==> y - 4 = ⅗ X ==> y = ⅗ X + 4

C is the answer

Answer:

7 and 4

Step-by-step explanation:

Answer:

7 and 4

Step-by-step explanation:

7 x 4 = 28

&

7 + 4 = 11

Answer:

120% = 120/100 = 1.2

Step-by-step explanation:

100 points = 100%, so 120 points = 120%

120% = 120/100 = 1.2

Answer: See step by step. Replace the x with theta

Step-by-step explanation: Since sin is less than zero, and secant is positive. This means the trig values are in Quadrant 4.

We know that secФ=17/15. We need to find sin,cos,tan,csc, and cot.

We can find tangent by using the identity

[tex]tan^{2} (x)+ 1=sec^{2} (x)[/tex] where x is theta.

[tex]tan^{2} (x)+1=\frac{289}{225}[/tex]

[tex]tan^{2} (x)+\frac{225}{225} =\frac{289}{225}[/tex]

[tex]tan^{2}(x)=\frac{64}{225}[/tex]

tan x=[tex]\frac{8}{15}[/tex], Tangent in the fourth  quadrant is negative  so  the answer is instead

[tex]tan x= -\frac{8}{15}[/tex]

We can find cotangent by taking the recipocial of tan so

[tex]cot=-\frac{15}{8}[/tex]

We can find cos by taking reciprocal of sec remeber that cosine is positive in 4th quadrant so the answer is

[tex]cos =\frac{15}{17}[/tex]

We can find sin by doing quoteint identies.

[tex]\frac{sin x}{cos x} =tan x[/tex]

[tex]\frac{ sin x}{15/17} =-\frac{8}{15}[/tex]

[tex]sin x= -\frac{8}{17}[/tex]

To find csc, take reciprocal of sine.

[tex]csc=\frac{-17}{8}[/tex]

Answer:

7.26 to the nearest hundredth.

Step-by-step explanation:

The ratio opp/hyp is the sine of the angle.

So if we let the opposite side = x then

3.5/ 8.2 = x /17

x = (3.5 * 17) / 8.2

= 7.256

Answer:

See below.

Step-by-step explanation:

a. See pic below.

b. Yes because it passes the vertical line test. Any vertical line moving horizontally across the graph intersects only one point on the graph at a time.

c.

Domain: all real numbers

Range: all real numbers greater than or equal to 4

d.

Domain: all real numbers greater than or equal to 4

Range: all real numbers

e.

See pic below.

f. No because it does not pass the vertical line test.

Answer:

$[tex]3.83[/tex]

Step-by-step explanation:

[tex]23[/tex] divided by [tex]6=3.83333333333.....[/tex]

We round to nearest cent. [tex]3.83[/tex]

Answer:

its b :) then can i help you

Answer:

8 m/s.

Step-by-step explanation:

18 miles = 18*8/5 = 28.8km

28.8 km = 28.8 * 1000

= 28,800 m.

There are 3600 seconds in an hour.

Therefore:

28800 meters per hour = 28800/3600

= 8 m/s.

Answer: -1 degree celcius

Step-by-step explanation:

The temperature on the first day is 4 degrees celcius.

The temperature on the second day falls by 5 degree celcius.

Therefore, we subtract 5 from 4 which gives us -1.

Answer:

B

Step-by-step explanation:

An algebraic expression represents the number of degrees of rotation about the polygon’s center that would carry the polygon onto itself is 360 / a.

A polygon is a closed figure made up of three or more line segments connected end to end.

A polygon in the plane has rotational symmetry when the figure is mapped onto itself by rotating between 0 and 360° about its center.

So, we need to find the number of symmetrical lines a regular polygon.

A regular polygon with a sides has n lines of symmetry and order of symmetry.

Then, let a be the number of symmetrical line lines

An algebraic expression represents the number of degrees of rotation about the polygon’s center that would carry the polygon onto itself is 360 / a.

Learn more about polygon;

https://brainly.com/question/10441863

#SPJ2

98+78+84+96= 356

Now we will count

there are 4 numbers

= 89

Your mean will be 89