Adam builds model rockets. Where he lives, his backyard is 12 feet below sea level. When he ignites his rocket, it flies a maximum of 350 feet straight up into the air before releasing its parachute. What is the altitude of Adam’s rocket at its highest point, as measured from sea level

Answer:

3a. (i). Sequence [tex]V_{n}[/tex] is in Arithematic

(ii). Sequence [tex]W_{n}[/tex] is in Geometric

3b. 2520 Sum of First 20 Arithmetic Sequence

3c. 98292 Sum of First 13 Geometric Sequence

Step-by-step explanation:

According to the Question,

3a. (i) Arithmetic Sequence ([tex]V_{n}[/tex]) = 12 , 24 , 36 , 48 .....

it is a sequence of numbers such that the difference between the consecutive terms is same. example → 24+12=12 , 36-24=12 , 48-36=12 ∵Common Difference=12

(ii) Geometric Sequence ([tex]W_{n}[/tex]) = 12 , 24 , 48 , 96 .....

A geometric series is a series for which the ratio of each two consecutive terms is a constant function. example → 24/12= 2 , 48/24= 2 , 96/48= 2 ∵Common Ratio=2

3b. Sum of first 20 terms of Arithematic sequence, [tex]S_{n}=\frac{n}{2}[2a + (n-1) d][/tex]

(Where, a=first term of sequence , n= number of term & d=common difference)

[tex]S_{n}[/tex]=10[2×12 + 19×12]

[tex]S_{n}[/tex] =10×252  ⇔  2520

3c. Sum Of First 13 term of a geometric sequence, [tex]S_{n}= \frac{a(r^{n}-1) }{r-1}[/tex]

(Where, a=first term of sequence , n= number of term & r= common ratio)

[tex]S_{n}[/tex]=12([tex]2^{13}[/tex]-1) / 2-1

[tex]S_{n}[/tex]=12×8191  ⇔  98292

Answer:

C= 1/3^8

Step-by-step explanation:

3^-2×4

3^-8

1/3^8

Answer:

Difference is the answer to a subtraction problem.  If you are on here, you can probably use a calculator.  If you go to the desmos scientific calculator, you can type it in and it will give you your answer as a fraction.

Step-by-step explanation:

Answer:

13/30

Step-by-step explanation:

7/10 - 4/15

Get a common denominator of 30

7/10 *3/3 = 21/30

4/15 *2/2 = 8/30

21/30 -8/30

13/30

Step-by-step explanation:

[tex] {13}^{2} = {6.5}^{2} + {x}^{2} \\ {x}^{2} = 126.75 \\ x = 11.2[/tex]

Answer:

11.3 cm

Step-by-step explanation:

since this is an equilateral triangle it's every sides are equal

side length (a) = 13 cm

formula to calculate the height of equilateral triangle is

h = [tex]a *\frac{\sqrt{3} }{2}[/tex]

=[tex]13 * \frac{\sqrt{3} }{2}[/tex]

=[tex]\frac{13\sqrt{3} }{2}[/tex]

=11.25

=11.3

Answer:

The correct answer is D. The debt will never be completely repaid.

Step-by-step explanation:

Since the question refers to a credit card debt on which the minimum monthly payment is paid for an indefinite period of months, in this case the debt will never be fully repaid, since the minimum payments will be constantly added values as interest, which will increase the value of the debt due to compound interest.

Answer:

c. 12 years

Step-by-step explanation:

according to the book, it says it would take 12 years to get it paid off with just the minimum payments

Answer:

4.5

Step-by-step explanation:

The Interesecting Secants Theorem states that when two secant lines intersect each other outside a circle, the products of their segments are equal. A secant is a straight line that cuts a curve in two or more points, so this definitely applies here, as both AB and CB interesect the circle twice.

Using this theorem, we can say that 6*3=4*x, so 18=4*x and x=4.5

Answer:

ssueuwuwiaiwaiaiiaiw

Answer:

y = 2.5x

Step-by-step explanation:

y = mx + b

m=2.5 (slope) -->  y=2.5x+b

coordinate : (2,5) 2 is the x coordinate, 5 is the y coordinate

to Find b, input the coordinate --> 5 = 2.5(2) + b

                                                        5 = 5 + b

                                                        0=b

y= 2.5x

This is only since it asked to solve using the point. If you look at the graph, the line intercepts the y-axis at (0,0) so b=0.

hope this helps

The equation of the line in point-slope form, using the coordinates of the labeled point, is y = 2.5x.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

The slope of the given line is 2.5.

And line passes through the point (2, 5) and have a slope 2.5,

then the equation of the line is,

y - 5 = 2.5 (x - 2)

y = 2.5x

Therefore, the equation of the line is y = 2.5x

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

Answer:

3x² + 8x + 1

Step-by-step explanation:

Given

4(x² - 1) - (x² - 8x - 5) ← distribute both parenthesis

= 4x² - 4 - x² + 8x + 5 ← collect like terms

= 3x² + 8x + 1

Answer:

12

Step-by-step explanation:

(4p - m)

Let m = -4 and p=2

( 4* 2 - (-4))

Multiply

8 - -4

Add

8+4

12

Answer:

Step-by-step explanation:

m = - 4   & p =2

4p - m = 4*2 - (-4)

            = 8 + 4

            = 12

Answer:

b

Step-by-step explanation:

The scuba diver is 30 feet below, and ascend means up, so you subtract 13.5, and descend means down so you add 15. That’s how you get the answer.

Answer:

-4 < n ≤ 5

Step-by-step explanation:

_________________

Answer:

The answer is "numeric".

Step-by-step explanation:

The Dim keyword is used in Visual Basic which is used to establish the dependent variable and other information such as the code that the variable may access the variables, computer utilizes the statement Dim. The dimensions are brief and then used to define variables. The Dim statement is placed just after sub definition only at the start of a VBA module (short for Subroutine).The variable to hold an integer value is seen in the above example.

Answer:

53 = 8 + v

Step-by-step explanation:

53 is what we are summing to so it is on one side of the equation. 53 is the results of us adding (sum) 8 to v (height)

Answer:

4

Step-by-step explanation:

Notice each side was increased by 4 times

You can set up a ratio of

[tex]\frac{new}{old}[/tex]

then reduce or divide

Answer:

no

Step-by-step explanation:

If the lines have identical slopes then they are parallel and do not intersect.

Okay! When you are ready, let me know what you need help with. Just comment this answer!

What is the question here?

Answer:

one solution only

Step-by-step explanation:

16y + 7 = -3y + 10 + 8y

16y + 3y - 8y = 10 - 7

11y = 3

y = 3/11

Answer:

Ok, so im not 100% sure about this answer but i think its D:

Step-by-step explanation:

I think this is correct because i used desmos  and had plotted those answer and the only one that looks close enough to this answer was D.

I'll also put up the pictures so you can see what i mean.

I hope this help.

Answer:

189 inches tall

Step-by-step explanation:

Answer:

7(5sqrt ^2y)

Step-by-step explanation:

Answer: 7(5square root x^2y)

Step-by-step explanation:

By Factorisation

4(5[tex]\sqrt{ x^2y[/tex] )+ 3(5[tex]\sqrt{ x^2y[/tex] )= 4+3(5[tex]\sqrt{ x^2y[/tex] ) = 7(5[tex]\sqrt{ x^2y[/tex] )

4x(2x + 3) .......

hope it helps

Answer: b= 4x( 2x + 3)

Step-by-step explanation:

8x2 + 12x = (4x) × (2x) + (4x) × (3) ; we factor 4x out.

= 4x( 2x + 3)

Answer:

C. ASA

Step-by-step explanation:

The details of the given parameters are;

Angle ∠B of ΔABC is congruent to angle ∠E of triangle ΔDEF,

Angle ∠C of ΔABC is congruent to angle ∠F of triangle ΔDEF

Side [tex]\overline{BC}[/tex] of ΔABC is congruent to side [tex]\overline {EF}[/tex] of triangle ΔDEF

Two angles (∠B and ∠C) and the included side (side [tex]\overline{BC}[/tex]) of ΔABC are congruent to the corresponding two angles and included side (∠D, ∠E and side [tex]\overline {EF}[/tex]) of ΔDEF, therefore, the two triangles are congruent by the Angle-Side-Angle, ASA, rule of congruency

In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1. For example, you can use synthetic division to divide by x + 3 or x – 6, but you cannot use synthetic division to divide by x2 + 2 or 3x2 – x + 7. If the leading coefficient is not a 1, then you must divide by the leading coefficient to turn the leading coefficient into a 1. For example, 3x – 1 would becomex minus 1/3 and 2x + 7 would becomex plus 7/2. If synthetic division will not work, then you must use long division.

Answer: 99/130

Payment made by any method except credit card is 95+4=99 and altogether there is three payment method including a credit card which sums up to 130.

So the probability is 99/130.

Answer:

63

Step-by-step explanation:

A=bh=7·9=63

base times perpendicular height

Answer:

63

Step-by-step explanation:

7x9=63

you copied my answer on a different question.

and literally copied and pasted it and it's so obvious and i saw u change it

Answer: -40 or negative forty

Step-by-step explanation:

Answer:

Volume of cone = 33.49 inch³

Step-by-step explanation:

Missing information;

Height of cone = 8 inch

Diameter of cone = 4 inch

Find:

Volume of cone

Computation:

Radius of cone = Diameter of cone / 2

Radius of cone = 4 / 2

Radius of cone = 2 inch

Volume of cone = [1/3][πr²h]

Volume of cone = [1/3][(3.14)(2)²8]

Volume of cone = [1/3][(3.14)(4)8]

Volume of cone = [1/3][(3.14)(32)]

Volume of cone = [1/3][100.48]

Volume of cone = 33.49 inch³