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Answer:

Step-by-step explanation:

From the question we are told that

Altitude of Height 1.4miles

4miles west

a) From the question

[tex]f(x)=ax3+bx2+cx+d[/tex] on interval (-4,0)

The descent can be expressed in [tex]\triangle _x =-4,0[/tex]

therefore  initial points is (-4 , 1.4).

final co-ordinate is given by (0,0) as its landing

Mathematically solving in above  cubic equation

 [tex]0 = 0 + 0 + 0 + d \\[/tex]

[tex]d = 0[/tex]

[tex]1.4 = -64a + 16b -4c + d[/tex]

[tex]1 = -45.7a + 11.4b-2.9c+d[/tex]

Generally in this case Slope of tangent at point of descent is zero.assuming flight was initially straight before descent

     [tex]f'(x) = 3ax^2 + 2bx+c[/tex]

    [tex]f'(-4) = 48a -8b + c = 0[/tex]

    [tex]f'(0) = c = 0[/tex]

Mathematically solving above equations we have

[tex]a = \frac{1}{40} \ and \ b = \frac{3}{20}[/tex]

Therefore having found a and b the Cubic equation is given as

[tex]f(x) = \frac{1}{40}x^3 + \frac{3}{20}x^2[/tex]

b)descent at its greatest rate

[tex]f(x)=\frac{1.4}{40} x^3 + \frac{129}{20} x^2[/tex]

[tex]f(x)=\frac{1.4}{40} x^3 + \frac{129}{20} x^2[/tex]

Answer: 15(3+4)

Step-by-step explanation:

First, we want to find the GCF of these numbers

The greatest number they can both be divided by is 15

All of the possible factors are 1, 3, 5, 9, 15, and 15 is the highest

So 15 is the GCF

We then divide these numbers to get the equation

45/15=3

60/15=4

So the new equation would be (3+4)

We then add the GCF outside the parenthesis so you can distribute it in order to get the original numbers

So the distributive equation would be 15(3+4)

Answer 15(3+4)

Answer:

the answer is:

(12) + (18) = 30

Answer:

Either [tex]\displaystyle \frac{-1522}{\sqrt{41}}[/tex] (approximately [tex]-238[/tex]) or [tex]\displaystyle \frac{1522}{\sqrt{41}}[/tex] (approximately [tex]238[/tex].)

Step-by-step explanation:

Let [tex]a[/tex] denote the first term of this geometric series, and let [tex]r[/tex] denote the common ratio of this geometric series.

The first five terms of this series would be:

First equation:

[tex]a\, r^4 - a = 150[/tex].

Second equation:

[tex]a\, r^3 - a\, r = 48[/tex].

Rewrite and simplify the first equation.

[tex]\begin{aligned}& a\, r^4 - a \\ &= a\, \left(r^4 - 1\right)\\ &= a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) \end{aligned}[/tex].

Therefore, the first equation becomes:

[tex]a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) = 150[/tex]..

Similarly, rewrite and simplify the second equation:

[tex]\begin{aligned}&a\, r^3 - a\, r\\ &= a\, \left( r^3 - r\right) \\ &= a\, r\, \left(r^2 - 1\right) \end{aligned}[/tex].

Therefore, the second equation becomes:

[tex]a\, r\, \left(r^2 - 1\right) = 48[/tex].

Take the quotient between these two equations:

[tex]\begin{aligned}\frac{a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right)}{a\cdot r\, \left(r^2 - 1\right)} = \frac{150}{48}\end{aligned}[/tex].

Simplify and solve for [tex]r[/tex]:

[tex]\displaystyle \frac{r^2+ 1}{r} = \frac{25}{8}[/tex].

[tex]8\, r^2 - 25\, r + 8 = 0[/tex].

Either [tex]\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}[/tex] or [tex]\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}[/tex].

Assume that [tex]\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}[/tex]. Substitute back to either of the two original equations to show that [tex]\displaystyle a = -\frac{497\, \sqrt{41}}{41} - 75[/tex].

Calculate the sum of the first five terms:

[tex]\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= -\frac{1522\sqrt{41}}{41} \approx -238\end{aligned}[/tex].

Similarly, assume that [tex]\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}[/tex]. Substitute back to either of the two original equations to show that [tex]\displaystyle a = \frac{497\, \sqrt{41}}{41} - 75[/tex].

Calculate the sum of the first five terms:

[tex]\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= \frac{1522\sqrt{41}}{41} \approx 238\end{aligned}[/tex].

Answer:

x = 27

Step-by-step explanation:

[tex]x - 21 = 6[/tex]

Add 21 to both sides.

[tex]x = 6 + 21[/tex]

[tex]x = 27[/tex]

Answer:

-10

Step-by-step explanation:

4x+py=5

Is also 2x+(p/2)y=5/2

And the other is 2x-5y+6=0

As the lines are parallel

2/2=(p/2)/(-5)

p= -10

Answer:

A horizontal line is an example of a functional relationship.

All functions have an independent variable.

All functions have a dependent variable (At least).

Step-by-step explanation:

By description, a relation is a purpose if each input condition has one and only one output value.

A function has at least a secondary variable and an autonomous variable. For instance, given a function:

Y=X

The secondary variable is "y" and the autonomous variable is "x".

The Field of the role is the collection of potential input values and the Range is the collection of potential output values,

Vertical lines have an irregular slope. Since the value of "x" never varies, an upward line is not an illustration of a functional relationship.

In the matter of Horizontal lines, for any x-value, you get the equivalent y-value. These are described as Constant functions.

Answer:

Books due to this week=1260

Step-by-step explanation:

F-books checked out=12500*(2/5)=5000

nonF-books checked out=19000*(2/5)=7600

Total checked books=5000+7600=12600

Books due to this week = (1/10)*12600=1260

Answer:

Part A: 24

Part B: 256

Step-by-step explanation:

Part A

Without Repetition means that once you use a number out of the given four, it can't be used again.

Answer: 4*3*2* 1 = 24

Part B

Part B allows repetition. That means that the numbers can be used as many as 4 times.

Answer: 4*4*4*4 = 256

Answer:

1.75

Step-by-step explanation:

Answer:

chetta es polla airemeris di quana premeria

Step-by-step explanation:

Answer:

Month 1:

Calculate Balance (by adding interest to existing balance): 678.34*(1 + 0.217/12) = 690.606648333333 = 690.61

Make payment: 690.61 - 235 = 455.61

Old Balance: 690.61

New Balance: 455.61

--------------------------------------------------------------

Month 2:

Calculate Balance (by adding interest to existing balance): 455.61*(1 + 0.217/12) = 463.8489475 = 463.85

Make payment: 463.85 - 235 = 228.85

Old Balance: 463.85

New Balance: 228.85

--------------------------------------------------------------

Month 3:

Calculate Balance (by adding interest to existing balance): 228.85*(1 + 0.217/12) = 232.988370833333 = 232.99

Make payment: 232.99 - 232.99 = 0

Old Balance: 232.99

New Balance: 0

--------------------------------------------------------------

Payments Made: 235, 235, 232.99

Number of Payments Made: 3

Total Cost: 235 + 235 + 232.99 = 702.99

Total Cost: $702.99

Total Interest: 702.99 - 678.34 = 24.65

Answer:

In multiplication the answer is called PRODUCT and in division the answer is called quotient.

Step-by-step explanation:

I hope that helps and you get a good grade :)

The answer to a multiplication problem is called a Product.                                                    The answer to a division problem is called the quotient.

Answer:

D. 113

Step-by-step explanation:

They are the same angles

Answer:

the answer is option A.

Answer:

A. -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

-9p - 17 = 10

Step 2: Solve for p

Answer:

4.5

Step-by-step explanation:

that is

their rates =1/6, 1/3 respectively

total =1/2

if 1/2=9

1= 9/2

= 4.5

We want to find the rate at which Aaron and Ana work together, we will find that when working together they can paint 1 door in 2 hours.

We know that Aaron can paint a door in 6 hours and Ana can paint the same door in 3 hours. The rates are just defined as the number of doors painted over time, so we get:

When they work together the rates just add up, so we get:

R =   (1 door/ 6h) +  (1 door/ 3h) =  (1 door/ 6h) +  (2 door/ 6h)

  = (3 doors/6 hours) = (1 door/ 2 hours)

This means that, working together, they can paint 1 door in 2 hours.

If you want to learn more about rates, you can read:

https://brainly.com/question/14305692

Answer:

Yes

Step-by-step explanation:

R-2 < 9; when R=8

8-2 < 9

because

6 < 9 (reads as "6 is less than 9")

Answer:

$21600

Step-by-step explanation:

Net income is calculated by deducting all company expenses from its total revenue. Net income is given by the formula:

Net income = Revenue - cost of goods sold - operating expenses - tax.

But Gross margin = gross profit = Revenue - cost of goods sold. Hence:

Net income = Gross margin - operating expenses - tax.

Substituting gives:

Net income = $50000 - $23000 - $5400

Net income = $21600

Answer:

h

Step-by-step explanation:

because I just know ittttttt

Answer: J $10 per hour

Step-by-step explanation: 3 sets of 8 hours = 24 hours. $10 times 24= $240

Answer:

the correct answer is 150 have a nice day!:)

Step-by-step explanation:

Answer:

A(3,-8)= x1y1

B(7,6)= x2y2

here,

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

= (3+7/2) (-8+6/2)

= (10/2,-2/2)

= (5,-1)

Step-by-step explanation:

by using midpoint formula

Answer:

Step-by-step explanation:

There are several ambiguities in your question upon which I feel disinclined to speculate. It cries out for an explanatory diagram:

For example (i.e. including but not only!):  

1. What is the essential distinction between a plane and a regular pyramid?

2. Does each of the two solids have all of its own edges equal, independently of the other solid? Or are the corresponding edges of the two solids equal? Or are all edges of both solids equal?

Step-by-step explanation:

When f(x) = f(x - 4), 3x² = 3(x - 4)².

=> x² = (x - 4)², x = -(x - 4), 2x = 4, x = 2.

The x-value is 2.

Answer:

35 degrees

Step-by-step explanation:

A right angle is 90 degrees.

Subtract 55 from it and you get 35.

Answer:

D.

Step-by-step explanation:

The dot in the answer means multiply.