if f (x) =5x^{2} what is 3 f (x) ?

1) In 1910, Halley's Comet was 21.37 million kilometers close to Earth.

2) Given that Halley's Comet orbits the sun at about 75 years, and that the last time it passed near the Earth was in 1986, the years in which it will happen again will be 2061, 2136 and 2211.

3) Earth is 794 times larger in diameter than Halley's Comet.

Since in 1910, Halley's Comet traveled close to Earth about 1/7 of the distance from the Earth to the Sun, and Earth's distance from the Sun is 149.6 million kilometers, to determine 1) how close was Halley's Comet to Earth in 1910, 2) estimate the next 3 years when Halley's Comet will appear, and 3) if the core of Halley's Comet is oblong in shape, with its longest dimension 16 km long, and Earth's diameter is about 12,700 km, how many times larger in diameter is Earth than Halley's Comet, the following calculations must be performed:

1)

2)

3)

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The relationship between Halley's comet and the earth is an illustration of proportions

The given parameters are:

(a) The distance

The distance which Halley's comet get to is calculated using:

[tex]d = \frac 17 \times 149.6\ million\ km[/tex]

So, we have:

[tex]d = 21.37\ million\ km[/tex]

Hence, Halley's comet was 21.37 million kilometers close to the earth in 1910.

(b) The next three years it will appear

From the complete question, the comet is visible every 74 years.

It appears in 1910.

So, the next three years are:

[tex]Year\ 1 = 1910 + 74 = 1984[/tex]

[tex]Year\ 2 = 1984 + 74 = 2058[/tex]

[tex]Year\ 3 = 2058 + 74 = 2132[/tex]

Hence, the comet will appear in 1984, 2058 and 2132.

(c) The number of times the earth is larger

The diameter of the earth is given as: 12700 km, while the longest dimension of the oblong shaped comet is 16 km.

So, the number of times (n) which the earth is greater than the comet is:

[tex]n = \frac{12700}{16}[/tex]

[tex]n = 794[/tex] --- approximated

Hence, the diameter of the earth is 794 times larger than Halley's Comet.

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Answer:

Part A:

Locker A is bigger. Locker A has a volume of 324 cubic feet.

Part B:

$113.40 each month

Step-by-step explanation:

Part A

Locker A:

V = L(W)(H)

V = 6(6)(9)

V = 324

Part B

324(0.35) = 113.4

Locker A is bigger. Locker A has a volume of  324 cubic feet, while Locker B has a volume of 306 cubic feet.

Monthly rent for 324 cubic feet is $113.40

Storage locker A is 6 feet wide, 6 feet deep, and has a height of 9 feet.

Volume of the cuboid is length times width times height

[tex]volume \; of \; locker \; A = lwh\\=6 \cdot 6 \cdot 9\\=324 cubic feet[/tex]

Volume of locker A is 324 cubic feet

Volume  locker B is 306 cubic feet.

324 cubic feet is bigger thatn 306 cubic feet.

Locker A is bigger.

The monthly rent for Locker A is $0.35 per cubic foot. The monthly rent for Locker B is $0.40 per cubic foot.

Monthly rent for locker a is 0.35 per cubic feet.

Monthly rent for 324 cubic feet is [tex]324 \cdot 0.35 =113.4[/tex]

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It would be written as a =± 11

Answer:

a

Step-by-step explanation:

[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

Answer:

m<ADE = 59°

Step-by-step explanation:

Each angle of a rectangle = 90°

Therefore:

m<ABE + m<CBE = 90°

(4x + 15)° + (13x + 7)° = 90°

Solve for x

4x + 15 + 13x + 7 = 90

17x + 22 = 90

17x = 90 - 22

17x = 68

x = 68/17

x = 4

✔️Opposite sides (AB and DC) of the rectangle are parallel, therefore:

m<ADE = m<CBE

m<ADE = (13x + 7)° (Substitution)

Plug in the value of x

m<ADE = 13(4) + 7

m<ADE = 52 + 7

m<ADE = 59°

Answer:

30°

Step-by-step explanation:

Answer:

x = 0, x = [tex]\frac{b}{a}[/tex]

Step-by-step explanation:

Given

ax² - bx = 0 ← factor out x from each term

x(ax - b) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

ax - b = 0 ⇒ ax = b ⇒ x = [tex]\frac{b}{a}[/tex]

Answer:

12

Step-by-step explanation:

Complete question :

A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.

a. Write the markdown as a decimal. b. Write an expression for the sale price of the hardcover book.

Answer:

0.52 ; 0.52b

Step-by-step explanation:

The markdown percentage = 52%

Expresaing markdown as a decimal :

52% = 52 / 100 = 0.52

Expression for the sale price of hardcover book:

Original price = b

Price was marked down by 0.52

Hence, sales price becomes ;

Original price * markdown

b * 0.52

0.52b

Answer:

4 Ounces

Step-by-step explanation:

Assuming he puts an equal amount of blueberries in each day. All you have to do here is divide the total (16) by how many groups you want to put it in(4 days in this question). 16 divided by 4 equals 4!

Answer:

x = 3

Step-by-step explanation:

When two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.

4 * 2x = 3 * (x + 5)

8x = 3x + 15

5x = 15

x = 3

Answer:

y=70° x=11

Step-by-step explanation:

.............ur welcome...........

Answer:

What reasons might venita give for saying that the 1916 coin is most likely in her bag? Sherelle claims that she has 26 which is closer to 16 hence her chances are more.

Step-by-step explanation:

Answer:

x=60°

Step-by-step explanation:

x=x(vertically opposite angles)

Now,

x+120°=180°

x=180°-120°

x=60°

Answer:

f = 40

Step-by-step explanation:

Rewrite 35% as 0.35, the equivalent decimal fraction.

Now let f be the original amount.  35% of this amount is 14:

0.35f = 14

Dividing both sides by 0.35, we get:

f = 14/0.35 = 40

f is 40

Answer:

20.48 is the radius of sphere

Step-by-step explanation:

V=(4 /3)πr3

Using the formula

r=(3V /4π)⅓

Solving for "r"

r=(3V 4π)⅓=(3·36000 /4·π)⅓≈20.48352

Answer:

x = 46°

Step-by-step explanation:

2x - 30 + 2x - 30 + x + 10 = 180°

combine like terms:

5x - 50 = 180°

5x = 230°

x = 46°

Answer:[tex]\sqrt{93}[/tex]

Step-by-step explanation:

Pythagoeraen theorm. 14^2+x^2=17^2

Answer:9.64 is the correct answer

Step-by-step explanation:

By Phythagorean theorem

hypotenuse^2=base^2+altitude^2

(17)^2=(14)^2+(x)^2

289=196+x^2

289-196=x^2

93 =x^2

taking square root on both sides

x=9.64

Answer:that’s a tough one

Step-by-step explanations just need some credit on brainly

Answer:

14 feet and 3 inches

Step-by-step explanation:

Answer:

14.25ft

171 in

Step-by-step explanation:

Answer:

200+90 =290 m^3

Step-by-step explanation:

Find the volume of the box on the bottom

V = l*w*h

V = 8*5*5 = 200 m^3

Find the volume of the box on the top

V = l*w*h

V = 3*6*5 = 90 m^3

Add the volumes together to get the total volume

200+90 =290 m^3

Answer:

290m^3

Step-by-step explanation:

the rectangular prism on top: 3mx6mx5m = 90m^3

the rectangular prism on bottom: 5mx5mx8m = 200m^3

add both: 200m^3+90m^3 = 290m^3

Answer:

image is unclear

Step-by-step explanation:

Answer:

V=75π

Step-by-step explanation:

V= πr^2h

V=π(5)^2(3)

V=75π

Answer:

1.41

Step-by-step explanation:

8.47÷6 = 1.4116