What is the closed form definition for the sequence below?

4, -12, 36, -108,...

Note that 4 is considered the 1st term.

Answer:

a) 92 m

b) 74 cm

Step-by-step explanation:

a)

2(length) + 2(width) = perimeter

2(x) + 2(73) = 330 m

2x + 146 = 330

2x = 184

x = 92 m

b)

length * width = area

85 * x = 6290 cm²

85x = 6290

x = 74 cm

The area to which Zippy's Pizza makes delivery is 16·π square miles

The responses are;

Reasons:

The radius of the area that Zippy delivers pizza = 4 miles

Direction in which Empire Street runs = East to west

Direction of the route 26 route = North to south

Location of Zippy's Pizza parlor = 3 miles south of Empire street

-First Part:

The equation that represents the radius of delivery for Zippy's Pizza is given by the equation of a circle as follows;

(x - h)²+ (y - k) = r²

Where:

(h, k) = The center of the circle which is the location of Zippy's Pizza

r = The radius of the circle

Zippy's Pizza is at the center of the circular area with coordinates (h, k) = (0, 0)

r = 4 miles

-Which gives;

(x - 0)² + (y - 0)² = 4²

The equation that represent the radius is; x² + y² = 4²

-Second part:

The locations of addresses on Empire street, relative to Zippy's Pizza are given by the equation;

y = 3

Therefore, we have;

The furthest distances east and west on Empire street that can receive Zippy's Pizza delivery are given by the equation;

x² + 3² = 4²

x = √(4² - 3²) = ±√5

The furthest distances that can receive Zippy's Pizza delivery are ±√5 miles (east and west) from route 26

-Third Part:

Location of Little Cubs = 2 miles west and 4 miles north of Zippy's

The distance from Little Cubs Field to Zippy's = √((2² + 4²) = 2·√5

The distance from Little Cubs Field to Zippy's = 2·√5 miles

-Fourth Part:

The distance between Little Cubs Field from Zippy's radius of delivery, d, is found as follows;

d = 2·√5 - 4 = 2·(√5 - 2)

Therefore, d = 2·(√5 - 2) miles

Learn more here:

https://brainly.com/question/23005973

Answer:

t = 6.15 seconds

Step-by-step explanation:

A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.

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

h(t) =-4.9t^2+35t+30

----

When the ball hits the ground its height is zero.

So, solve -4.9t^2+35t+30 = 0

Use the quadratic formula:

t = [-35 +- sqrt(35^2-4*-4.9*30)]/(2(-4.9))

----

t = [-35 +- sqrt(637)]/(-9.8)

---

To get a positive solution:

t = [-35-25.24]/(-9.8)

t = 6.15 seconds

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

Answer:

The ball hits the ground when h(t) (the height) is equal to 0.

0=-4.9t^2+30t

0=t(-4.9t+30)

t=0 and t=6.1224…

So, the ball hits the ground when it is thrown (0 seconds) and after about 6.1224 seconds.

:)

Answer:

$126 is correct

Step-by-step explanation:

Answer:

$126/month

Step-by-step explanation:

Divide the total cost ($756) by 6 (months).  We get $126/month.  Six months' payment (6 times $126) will produce a total savings of $756.

this is my attachment answer hope it's helpful to you

Answer:

-3

Step-by-step explanation:

-3 × 4 = -12

-12 + 10 = -2

Answer:

£30000

Step-by-step explanation:

I used a couculator

Answer:

.

Step-by-step explanation:

Answer:

b is the answer because I don't know what to do with it and

Answer:

13841287201

Step-by-step explanation

7×7×7×7×7×7×7×7×7×7×7×7=13841287201

Answer:

7

×

7

×

7

×

7

×

7

=

7

5

Step-by-step explanation:

Answer: 83.1

Step-by-step explanation:

52.2 + 44.7 = 96. 9

180 - 96.9 = 83.1

Answer:

17

Step-by-step explanation:

It's a right triangle so you use the Pythagorean Theorem

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

a and b are the sides and c is always the hypoteneuse, which is the longest side and opposite from the right angle

so [tex]8^{2}[/tex]+[tex]15^{2}[/tex]=[tex]c^{2}[/tex]

64+225=[tex]c{2}[/tex]

289=[tex]c^{2}[/tex]  take the square root of both sides to get rid of the squared

[tex]\sqrt{289}[/tex]=c

c=17

Answer:

∠ ABC = 108°

Step-by-step explanation:

The 2 given angles are vertically opposite and are congruent , that is

4x + 8 = 3x + 33 ( subtract 3x from both sides )

x + 8 = 33 ( subtract 8 from both sides )

x = 25

Then

∠ ABC = 3x + 33 = 3(25) + 33 = 75 + 33 = 108°

Answer:

rational

Hope this helps!

lmk if it does

Answer: -4

Step-by-step explanation: (9)+(-13)                                                                         9+−13                                                                                                                           9−13                                                                                                                           −4                                                                            

Answer: $4.29?

Step-by-step explanation:

3 pack /3 = $12.88 /3

1 pack = 4 22/75 or approx $4.29

Answer:

80

Step-by-step explanation:

math

[tex] \rm \frac{2}{36} = \frac{3}{x} [/tex]

[tex] \rm\frac{1}{18} = \frac{3}{x} [/tex]

[tex] \rm x = 3 \times 18[/tex]

[tex] \rm x = \bold{54(d.)}[/tex]

Answer:

I think it's called a term.

Hope this helps :)

Answer:

3

Step-by-step explanation:

y=3, you can see it when you start from ×=-1 and then follow the line in the graph

Answer:

f(-1) = 3

Step-by-step explanation:

You can see the function f(x) on the graph. To find f(-1), you need to find the value of the function at x = -1.

Starting from the center at (0, 0), just go 1 to the left and then up to the line. You can see the point at x = -1 on the line is y = 3, so f(-1) is equal to 3.

Answer:

13. PS ≈ 28.30

14. ∠CDB ≈ 68.74°

Step-by-step explanation:

13 =========================

We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)

[tex]tan(28)=\frac{x}{39} \\x=39tan(28)[/tex]

or x ≈ 20.74

Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.

[tex]sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}\\[/tex]

or y ≈ 28.30

PS ≈ 28.30

14 ======================

Start from ∠A and use tan.

[tex]tan(47)=\frac{x}{18} \\x=18tan(47)[/tex]

x ≈ 19.30

Then from ∠CDB, we'll use inverse cos.

[tex]cos^{-1}(\frac{7}{18tan(47)} )= y[/tex]

y ≈ 68.74°

∠CDB ≈ 68.74°

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

I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.

Answer:

19?

Step-by-step explanation:

Answer:

there is no graph though

Answer:

zero slope

Step-by-step explanation:

horizontal lines are zero slope because they are not slanted (slope)

this is a horizontal line.

That depends on the function in question.

If f(x) is integrable and non-decreasing, then the right Riemann sum overestimates the integral of f.

If f is non-increasing, the right Riemann sum underestimates the integral.

Answer:

cos(4) f'(sin 4)/f(sin 4) is y' at x=4

Step-by-step explanation:

We can't actually find the numerical value for this without more information.

We are given:

y=ln(f(sin x))

This is equivalent to

e^y=f(sin x)

Differentiate both sides:

y' e^y=cos(x) f'(sin x)

Divide both sides by e^y:

y' =cos(x) f'(sin x)/e^y

Rewrite in terms of x using that e^y=f(sin x):

y' =cos(x) f'(sin x)/f(sin x)

Now replace x with 4:

cos(4) f'(sin 4)/f(sin 4) is y' at x=4