Find the measure of the arc,

Answer:

[tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| - \frac{1819}{20}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Antiderivatives - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f'(t) = t^4 + 91 - \frac{3}{t}[/tex]

[tex]\displaystyle f(1) = \frac{1}{4}[/tex]

Step 2: Integration

Integrate the derivative to find function.

Our general solution is  [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| + C[/tex].

Step 3: Find Particular Solution

Find Integration Constant C for function using given condition.

∴ Our particular solution to the differential equation is  [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| - \frac{1819}{20}[/tex].

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

Answer:

a = 0

Step-by-step explanation:

4(a-2) = 2(a-4) + 2a

4a - 8 = 2a - 8 + 2a

4a - 2a - 2a = -8 + 8

    0             =    0

This has infinitely many solutions.

Step-by-step explanation:

Any number you put for a would work to make them equal. Feel free to try it.

Answer: 4

Step-by-step explanation:

I got this same question buddy im here to see the answer but there were not any

This is often how many math teachers and textbooks approach problems like this. The overlapped region is the region in which satisfies every inequality in the system. Be sure to note the boundary of each region whether you're dealing with a dashed line or a solid line. Dashed lines mean points on the boundary do not count as solution points, whereas solid boundaries allow those points as part of the solution set.

Side note: This is assuming you're dealing with 2 variable inequalities. If you only have one variable, you don't need to graph and instead could use algebra. Graphing doesn't hurt though.

76+2x=180

180-76=2x

104=2x

X=52

Answer:

x=52

Step-by-step explanation:

360=76+90+90+2x

2x=360-256

x=104/2

x=52

9514 1404 393

Answer:

  y = 2200(1.08^t)

Step-by-step explanation:

The interest earned the first year is ...

  (2376 -2200)/2200 = 0.08 = 8%

The balances the remaining years are consistent with that interest being compounded annually. An appropriate function is ...

  y = 2200(1.08^t)

_____

The compound interest formula is ...

  A = P(1 +r/n)^(nt) . . . . principal P earning rate r compounded n times per year for t years

Answer:

y  =  2 /3

Step-by-step explanation:

Answer:

I probably think it's A..

Answer:

8ft is the diameter so the radius would be half of that, so it's 4ft. Now substitute

[tex]\pi4 {}^{2} [/tex]

now solve 4^2=16 now multiply it by 3.14 (pi). 16×3.14= 50.24

Answer:

79

Step-by-step explanation:

Answer:

edge 2021

Step-by-step explanation:

The team from the second league would be more likey to win becasue teams in taht league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.

Answer:

then 2 are human

Step-by-step explanation:

because 4 are robots

Answer:

The rest are normal students.

6-4= 2 so that's how many normal students there are.

Please add a little bit more detail to the question please :)

Answer:

Equation of line that passes through the points is; y= -13x - 31

Step-by-step explanation:

Given coordinates;

(- 2, - 5) and (3. - 8)

Find:

Equation of the line

Computation:

Equation of line that passes through the points is;

y = mx + c

So,

in (- 2, - 5)

-5 = m(-2) + c

-5 = -2m + c ...................Eq1

in (3, - 8)

- 8 = m(3) + c

-8 = 3m + c .....................Eq2

From eq2 + eq1

m = -13

-5 = -2m + c

-5 = -2(-13) + c

-5 = 26 + c

c = -31

So,

y = mx + c

y = (-13)x + (-31)

Equation of line that passes through the points is; y= -13x - 31

Answer:

16 in

Step-by-step explanation:

Because you multiply 4in by 3in and you get 12 in. and you subtract 3in by 1in to get the height for the smaller box and you get 2in so multiply 2in by 2in to get 4in and add your products to 12in and 4 in to get 16 in!

Hope this helps!

Answer:

100 cm2

Step-by-step explanation:

If the area is 64 cm2 that means that the side is 8 cm (square root of 64 is 8)

8 increased by 2 = 10

area 10x10 = 100 cm2

Answer:

the answer is 100cm²

since originally is 64 cm²

so square root of 64 is 8 cm.

after you get 8cm you get,

8+2 = 10cm (a side of square)

and then to find a new area you get,

10 × 10 = 100 cm²

Answer:

4% per annum

Step-by-step explanation:

Recall :

Simple interest = principal * rate * time

Given that :

Time = 3 ; simple interest = 84 ; principal = 700

84 = 700 * rate * 3

84 = 2100 * rate

Rate = 84 /2100

= 0.04

= 0.04 * 100% = 4% per annum

Answer:

m<B = 107°

Step-by-step explanation:

∆ADC is congruent to ∆ABC by the SSS Congruence Theorem.

<D corresponds to <B, therefore,

m<D = m<B

m<D = 180° - (41° + 32°)

m<D = 180° - 73°

m<D = 107°

m<D = m<B = 107°

m<B = 107°

Answer:

y = -4x + 3

Step-by-step explanation:

You just have to solve for y.

So you get only the y value on one side, so the equation would then be

4y = -16x + 12, then you have to solve for y, so you divide both sides of the equation by 4 and you are left with y = -4x + 3

Answer:

136

Hypothenus² = Opposite² + Adjacent²

H²= 110² + 80²

H²= 18500

H= √18500

H = 136m

Answer:

hope this help you a lot

good luck

Answer:

2 meters

Step-by-step explanation:

Given

[tex]a= 8m[/tex] --- initial

[tex]r = \frac{1}{2}m/year[/tex] --- rate

[tex]t = 12\ yrs[/tex]

[tex]Nail = 2m[/tex]

Required

The height of the nail after 12 years

The top of the tree will continue growing at the given rate, however, the height of the nail will remain unchanged.

This is so because when trees grow, they grow from the top; i.e. the heights are increased at the top while the bottom remains unchanged.

Hence, the height of the nail after 12 years in 2m

Step-by-step explanation:

OK so add the 66 and the square=90, so add 66 and 90 then subtract it from 180 and then you will get x

Step-by-step explanation:

On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.Examples of magnetic force is a compass, a motor, the magnets that hold stuff on the refrigerator, train tracks, and new roller coasters. All moving charges give rise to a magnetic field and the charges that move through its regions, experience a force.

Answer:

x=60 all you have to do is take 140 and subtract it from 80 that is it

Answer:

x= 40°

Step-by-step explanation:

here

x°+140°+80°= 180°

or , x°+220°=180

or , x°=220°–180°

•

• • x= 40°

Answer:

hhhhhhhhhhooooooooooooooooooooo

Step-by-step explanation:

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

Explanation:

Imagine that this plane was a saw blade, or a laser, that cut the cone. We would have two pieces and each piece would have a shape of an ellipse on them. The cutting plane would also have the same ellipse shape.

Or you think of the cutting plane as a flat piece of cloth. If we cut everything around the cone, then we would have an ellipse shaped hole as a result.

The reason why we get an ellipse and not a circle is because the plane is angled like that. It needs to be perfectly parallel to the circular base in order to get a circular cross section.

Answer:

with what?

Step-by-step explanation: