Help me pls I don't understand.

The speed of landing is 15.69 ft/sec.

"Differentiation, in mathematics, process of finding the derivative, or rate of change, of a function. In contrast to the abstract nature of the theory behind it, the practical technique of differentiation can be carried out by purely algebraic manipulations, using three basic derivatives, four rules of operation, and a knowledge of how to manipulate functions.    

The three basic derivatives (D) are: (1) for algebraic functions, D(xn) = nxn − 1, in which n is any real number; (2) for trigonometric functions, D(sin x) = cos x and D(cos x) = −sin x; and (3) for exponential functions, D(ex) = ex."

Let the length of the rope = r

Height of the balloon = h

we are given dr/dt = 15ft/sec

at any time t we know:

[tex]r = 125 + 15*t[/tex]

By the Pythagoras theorem we know:

[tex]h^2 + 125^2 = r^2[/tex]

We have to find dh/dt at time t = 20 sec

[tex]d/dh(h^2 + 125^2) = d/dt(r^2)[/tex]

By chain rule:

[tex]d/dh(h^2 + 125^2)*dh/dt\\ = d/dr(r^2)*dr/dt\\2h*dh/dt = 2r* dr/dt\\h*dh/dt = r*dr/dt\\dh/dt = (r/h)*dr/dt[/tex]

[tex]= [(125 + 15*20)/(425^2 - 125^2)^1/2]*15[/tex]--------------------- at time t = 2

=15.69 ft/sec

Hence dh/dt = 15.69 ft/sec

To know more about differentiation here

https://brainly.com/question/14496325

#SPJ2

Answer:

give that 13.3cm is 15% of a certain length, what is the complete length

Answer: A,B and D ARE THE CORRECT ANSWERS

Step-by-step explanation:

Answer:

Step-by-step explanation:

Comment

I take it you want the value for x.

Solution

4(x-5)-(6x + 1)= 2x -19                       Remove the Brackets.

4x - 20 - 6x - 1 = 2x - 19                   Combine like terms

-2x - 21 = 2x - 19                              Add 2x to both sides

-2x-21+2x = 2x + 2x - 19                  Combine

-21 = 4x - 19                                     Add 19 to both sides

-21+19 = 4x -19 + 19                          Combine like terms

-2 = 4x                                              Divide by 4

-2/4 = x

x = - 1/2

Answer: x = - 1/2

or x = -0.5

Answer:

(4, -6)

Step-by-step explanation:

(x1+x2)/2 + (y1+y2)/2 = midpoint

(11+-3)/2 = 8/2 = 4.     x = 4

(-5 + -7)/2 = -12/2.      y = -6

4, -6 is the midpoint

give brainliest please! hope this helps :)

The highest possible number of inhabitants in that little town are 743.

A person or animal that lives in a place is called as the inhabitant.

Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant.

Let say there are 519 people in the town. and make them stand in a line with increasing number of hairs on their heads. This way, there will be a person on the last, who has no hair.

There are more number of people than the hairs. From bald to 742 hairs, 743 is the limit.

Thus, the highest possible number of inhabitants in that little town are 743.

Learn more about inhabitant.

https://brainly.com/question/15121341

#SPJ1

Answer:

b 50 degrees bavaggagshdd

Answer:

8

Step-by-step explanation:

Intersecting Chords Formula:

(segment piece) x (segment piece) = (segment piece) x (segment piece)

5*x = 4*10

5x = 40

Divide by 5

5x/5 = 40/5

x = 8

Answer:

angle M

Step-by-step explanation:

if you are using side angle side the two sides may be

line LK and NK

and angle M

The missing number given the mean of the data set is 16.

Mean is the average of a data set. It is determined by adding all the numbers in the data set and dividing the sum by the numbers in the data set.

Missing number = (mean x total number in the data set) - sum of numbers in the data set

(18 x 7) - ( 21 + 11 + 27 + 22 + 13 + 16)

126 - 110

= 16

To learn more about mean, please check: https://brainly.com/question/25842202

#SPJ1

Area

Base=6cm

Height=12cm

So,

= 1/2×6×12

= (3×12)

= 36 cm²

[tex]\boxed{\blue{ » \: Lear \: math \: with \: Kareninajovanka \: « コ: \: 彡}}[/tex]

The distribution of the sample means when the samples of size n = 60 are randomly selected from the population is normal (approximately).

Calculating the sample mean is as simple as adding up the number of items in a sample set and then dividing that sum by the number of items in the sample set.

Here, the distribution of the sample means when the samples of size n = 60 are randomly selected from the population is normal (approximately).

Learn more about samples on:

https://brainly.com/question/2838094

#SPJ1

Answer:

2i and -2i

Step-by-step explanation:

I'll change u to x to be easier to understand.

x^2 = -4

sqrt(x^2) = sqrt(-4)

sqrt(-4) = 2i, or -2i

Answer:

62.

Step-by-step explanation:

because I subtract 70 to 8 equal to 62

Answer:

I think

Step-by-step explanation:

I think 62 hope you have a good day

Answer:

x=3

Step-by-step explanation:

We can use the slope formula to help complete this question

m = (y2-y1)/(x2-x1)

-1 = ( -6-0)/(x- -3)

-1 = -6/ (x+3)

Multiply each side by (x+3)

-x-3 = -6

Add 3 to each side

-x -3+3 = -6+3

-x =-3

Multiply each side by -1

x = 3

Answer:

  x = 3

Step-by-step explanation:

The given slope and point can be used to write the equation of the line using the point-slope form. To find x for a given y, we can solve that equation.

__

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For (h, k) = (-3, 0), and m = -1, the equation is ...

  y -0 = -1(x -(-3))

  y = -x -3

We want x when y = -6, so this becomes ...

  -6 = -x -3

Adding x+6 to both sides of the equation, we get ...

  (x +6) -6 = -x -3 +(x +6)

  x = 3 . . . . . . . simplify

Answer:

2,160 ÷ 36 = 60

Step-by-step explanation:

The division problem that this area model represents is,

2,160 ÷ 36 = 60

let's say the segment is A(-3,8) and B(6,-4) and point C splits it on a 1:5 ratio from A to B, let's check for C coordinates.

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-3,8)\qquad B(6,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(-3,8)=1(6,-4)[/tex]

[tex](\stackrel{x}{-15}~~,~~ \stackrel{y}{40})=(\stackrel{x}{6}~~,~~ \stackrel{y}{-4})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-15 +6}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{40 -4}}{1+5} \right)} \\\\\\ C=\left(\cfrac{-9}{6}~~,~~ \cfrac{36}{6} \right)\implies C=\left( -\cfrac{3}{2}~~,~~6 \right)[/tex]

Answer:

[tex]\mathsf {x = 76}[/tex]

Step-by-step explanation:

The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.

[tex]\textsf {Solving :}[/tex]

[tex]\implies \mathsf {x + 17 + 87 = 180}[/tex]

[tex]\implies \mathsf {x + 104 = 180}[/tex]

[tex]\implies \mathsf {x = 180 - 104}[/tex]

[tex]\implies \mathsf {x = 76}[/tex]

[tex] - 50m + 10 - 3m + ( - 13) \\ - 50m + 10 - 3m - 13 \\ - 53m - 3[/tex]

Hope it helps

please give brainliest

Answer:

9. 105/-21 = -5

10. -5 + 11 = 6

11. 368 x -16 = -5888

12. To prove this you don't need the integers provided, you can just expand out the first one. a x (b + c) = (a x b) + (a x c)

Answer:

b

Step-by-step explanation:

Amount of tax you need to pay on a taxable income of $40,000 is,

= $6423.75

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

According to table, $40,000 falls in the 3rd category between $31,850 and $77,100

And, The tax is "$4,386.25 + 25% of amount over 31,850"

Hence, we have:

= $4,386.25 + 25% of (40,000 - 31,850).

= $4,386.25 + 0.25 x 8150

= $6423.75

Thus, Amount of tax you need to pay on a taxable income of $40,000 is,

= $6423.75

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ5

Answer:

D) 5

Step-by-step explanation:

Because 5x5=25 so the square root would be 5

Answer:

123 save some for me

Step-by-step explanation:

:0

Answer: 123

Step-by-step explanation: I did the math- lol-

The solution of the inequality are (iii) and (iv)

The solution of the equality is x = 8.

The solution of the equality is x = 0.

The solutions of the inequalities can be found as follows:

x³ + 3(5 - 2) ≥ 20 - 4

x³+ 3(3) ≥ 16

x³+ 9 ≥ 16

x³ ≥ 16 - 9

x³ ≥  7

x ≥ ∛7

x ≥ 1.9

Therefore, (iii) and (iv) are solution.

4(72 - x²) = 3.12 - 4

288 - 4x² = 36  - 4

288 - 4x²= 32

-4x² = -256

x²=  256 / 4

x²=64

x= √64

x= 8

7(x + 12) = 7.12

7x + 84 = 84

7x= 84 - 84

7x= 0

x = 0

learn more on inequality here: https://brainly.com/question/20383699

#SPJ1

The perpetual inventory system is an inventory management method that records when stock is sold or received in real-time.

a. Debit Accounts Receivable 12000

Credit  Sales  12000

Debit Cost of Merchandise Sold 6500

Credit    Merchandise Inventory  6500

b. Debit Cash 9500

Credit Sales  9500

Debit Cost of Merchandise Sold 5300

Credit Merchandise Inventory  5300

c. Debit Cash 2900

Credit  Sales  2900

Debit Cost of Merchandise Sold 1700

Credit  Merchandise Inventory  1700

d. Debit Credit Card Expense 385

Credit  Cash  385

e. Debit Credit Card Expense 75

Credit Cash  75

Learn more about journal on:

https://brainly.com/question/14279491

#SPJ1

Answer:

the heart rate increases for 6 minutes, remains constant for 19 minutes ,and then gradually decreases for 5 minutes

Answer:

False

Step-by-step explanation:

9(k-2)=-6 and k=1

9(1-2)=-6

9(-1)=-6

-9=-6

No, -9 doesn't equal -6.

So this system of equations is false.

Hope this helped! :)

Step-by-step explanation:

normally the perimeter of a rectangle is

2×length + 2×width

in this case here one of the sides in that calculation has to be replaced by the outer circumference of the semicircle.

but which one ? you did not say, whether the semicircle is attached to a length or to a width of the rectangle.

the circumference of a circle is

2×pi×r

r being the radius (= half of the diameter).

so, the outer circumference of a semicircle is

2×pi×r/2 = pi×r

since we don't know the side of the rectangle, I am giving you both calculations here, and you have to pick the right one that fits your original problem definition.

if it is attached to a length (25 ft), then the radius of the semicircle is

25/2 = 12.5 ft

and the whole perimeter is

length + semicircle + 2×width =

= 25 + pi×12.5 + 2×29 =

= 25 + 39.26990817... + 58 = 122.2699082... ft

if it is attached to a width (29 ft), then the radius of the semicircle is

29/2 = 14.5 ft

and the whole perimeter is

2×length + semicircle + width =

= 2×25 + pi×14.5 + 29 =

= 50 + 45.55309348... + 29 = 124.5530935... ft

Step-by-step explanation:

you use Sin60 to find y because Sin60=

[tex] \frac{y}{8} [/tex]

Based on the bar graph, the true statement is that: C. more 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.

A bar graph is used for the graphical representation of data, especially by using rectangular bars or vertical columns.

From the information provided, we can deduce the following points about the audiobook listeners:

Age                                 Relative frequency

13 to 17                                      0.08

18 to 25                                     0.15

26 to 35                                    0.23

36 to 45                                    0.45

46 and over                              0.47

Based on the frequency table for the bar graph, we can logically deduce that more 36 to 45-year-olds with a frequency of "0.45" listen to audiobooks than 26 to 35-year-olds with a frequency of "0.23."

Read more on bar graph here: https://brainly.com/question/24741444

#SPJ1

Complete Question:

People of different ages were asked the question "Do you listen to audiobooks?" The bar chart displays the percentage of "yes" responses in each age group. Which of the following statements is correct?

A. More 18- to 25-year-olds listen to audiobooks than 26- to 35-year-olds.

B. Fewer 18- to 25-year-olds listen to audiobooks than 13- to 17-year-olds.

C. More 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.

D. Fewer 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.

The rule for construction of Inscribed equilateral triangle

Means if marks are from 1 to 6 then

Or

Now

Here the rest two segments are

Answer:

FB and DB

Step-by-step explanation:

got it right on the test