A ball is dropped from a height of 180 meters. The height of the ball can be represented by
-5t2 + 180, in meters, when t represents the time in seconds since the ball was dropped.
Which expression represents the height of the ball In factored form?

A) -5(t+6)^2
B) -5(t-6)^2
C) -5(t+6)(t-6)
D) (5t-3)(80t+3)

Answer: c = 2

Step-by-step explanation:

First you write out your equation: 10c + 20 = 40

Next, since the equation is adding, you can subtract 20 the constant on both sides of the equation:

10c + 20 = 40

      - 20    - 20  

The 20s cancel each other out and 40 - 20 is 20.

Our new equation looks like: 10c = 20

Now to find the value of C you are going to divide 10 on both sides because the equation is multiplying.

10c divided by 10 is just c and 20 divided by 10 is 2.

Therefore, you are left with c = 2

hope this helps have a nice day :)

Answer:

(of an increase) becoming more and more rapid.

"the social security budget was rising at an exponential rate"

Step-by-step explanation:

✨research ✨

Answer:

(of an increase) becoming more and more rapid.

(Mathematics)

of or expressed by a mathematical exponent.

Step-by-step explanation:

Answer:

1: 31.5. 2: 5. 3: 4.6 4: 45

Answer:

Step-by-step explanation:

Part A

If the gardener increases the number of dahlia plants by buying the new bulbs,

Let the equation representing year (x) and number of bulbs purchased (y) is,

y = mx + b

Here, m = Number of plants purchased each year

b = Initial numbers of plants

For x = 0, and y = 6,

6 = m(0) + b

b = 6

For x = 1, y = 56,

56 = m(1) + 6

m = 50

Therefore, equation for this method of increasing the numbers of plants will be,

y = 50x+ 6

Let the equation for the second method of increasing the number of plants is represented by the equation,

y = a(b)ˣ

From the data given in the table,

For x = 0, y = 6

6 = a(b)⁰

a = 6

For x = 1, y = 12

12 = 6(b)¹

b = 2

Therefore, equation representing the second method (By diving the existing bulbs) will be,

y = 6(2)ˣ

Part B

By substituting the value of x = 10 years,

Method - 1

y = 50(10) + 6

y = 506 plants

Method - 2

y  = 6(2)¹⁰

y = 6144 plants

Part C

After 5 years number of plants by method - 1,

y = 50(5) + 6

  = 256

After 5 years number of plants by method - 2,

y = 6(2)⁵

y = 192

Similarly, After 10 years number of plants by method - 1,

y = 50(10) + 6

  = 506

By method - 2,

y = 6(2)¹⁰

y = 6144

Since, number of plants after 5 years are less by the second method as compared to method 1

But after 10 years second method results the number of plants more than method-1,

Therefore, gardener should adopt method 2 for increasing the numbers of plants.  

Functions are used to represent tables and equations.

(a) The equation of the functions

The function of "Buy New Bulbs" is a linear function with an initial value of 6, and a rate of 50 (i.e. 56 - 6)

So, the equation is:

[tex]y = 6 + 50x[/tex]

The function of "Divide Existing Bulbs" is an exponential function with an initial value of 6, and a rate of 2 (i.e. 12/6)

So, the equation is:

[tex]y = 6(2)^x[/tex]

Hence, the equations of the functions are [tex]y = 6 + 50x[/tex] and [tex]y = 6(2)^x[/tex]

The expected number of bulbs in 10 years

This means that x = 10.

So, we have:

[tex]y = 6 + 50x =6 + 50*10 = 506[/tex]

[tex]y = 6(2)^x =6 *2^{10} = 6144[/tex]

Hence, the expected number of bulbs in 10 years for both functions are 506 and 6144, respectively

Compare the expected number of bulbs in 5 and 10 years

When x = 5.

We have:

[tex]y = 6 + 50x =6 + 50*5 = 256[/tex]

[tex]y = 6(2)^x =6 *2^5 = 192[/tex]

When x = 15

We have:

[tex]y = 6 + 50x =6 + 50*15 = 756[/tex]

[tex]y = 6(2)^x =6 *2^{15} = 196608[/tex]

By comparison;

In 5 years, the expected number of bulbs for the function of "Buy New Bulbs" is greater than the function of "Divide Existing Bulbs", however the expected number of bulbs for the function of "Buy New Bulbs" is less than the function of "Divide Existing Bulbs" in 15 years

Read more about functions at:

https://brainly.com/question/15602982

Answer:

5:7

Step-by-step explanation:

The areas of two triangles are 50cm²and 98cm²​.

We need to find the ratio of corresponding sides. It can be calculated as follows :

[tex]\dfrac{s_1}{2_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{50}{98}}\\\\=\sqrt{\dfrac{25}{49}}\\\\=\dfrac{5}{7}[/tex]

So, the ratio of corresponding sides are 5:7.

Answer:

C. fungi

Step-by-step explanation:

Here only Fungi is an example of decomposer.

Rabbits and lions are examples of consumers.

Trees are an example of producers.

The following list defines and provides examples of the feeding (trophic) levels that comprise food webs:

Producer: organism on the food chain that can produce its own energy and nutrients. Examples: grasses, Jackalberry tree, Acacia tree

Primary consumer/herbivore: organism that eats mainly plants. Examples: cows, impalas, warthogs, zebras

Secondary consumer/carnivore: organism that eats meat. Examples: leopard, lion

Omnivore: organism that eats a variety of organisms, including plants, animals, and fungi. Examples: humans, aardvarks

Decomposer/detritivores: organisms that break down dead plant and animal material and waste and release it as energy and nutrients in the ecosystem. Examples: bacteria, fungi, termites

Scavenger: animal that eats dead or rotting animal flesh. Examples: vultures, hyenas

Insectivore: organism that mostly eats insects. Example: Red-billed oxpecker

Answer:

C. Fungi

B. Lions

Step-by-step explanation:

C. fungi are called decomposers because they break down the dead and decaying organic matter into simpler substances such as carbon dioxide, water, simple sugars, and mineral salts and provide the nutrients back to the soil

B. A decomposer is a living thing that gets energy by breaking down dead plants and animals, lions eat other animals to get energy.

Answer:

D

Step-by-step explanation:

hope it helps .

sorry about the pic , kinda hard to get the whole

Answer:

c

Step-by-step explanation:

Answer:

1008

Step-by-step explanation:

All you have to do is find what 24 percent of 4200 is.

Answer: 6 units squared

Step-by-step explanation: ok here is how you do it so you make the triangle like I did and once you make it. You count the squares about how long it is and how high it is in this case I got for the base 6 and the height 2 so we multiply to get 12 also we divide 12 and 2 to get 6 units squared there you go. hope this helps.

Answer: 4236

Step-by-step explanation: I used a calculator. If it's wrong, tell your teacher/instructor.

Answer:

y=c+6

Step-by-step explanation:

this is the only equation I could think that fits the situation

hope this helped!

Answer:

eq: s= 5w + 3

Step-by-step explanation:

independent: number of weeks

dependent:  amount of stickers

the amount of stickers depend on how many weeks pass by :) (English is my second language so I may write weird)

Answer:

okay what's your question?

Step-by-step explanation:

Answer:

whats the question

Step-by-step explanation:

Answer:

-3p^7 + 8p

Step-by-step explanation:

OPPOSITE: having a position on the other or further side of something; facing something, especially something of the same type.

Answer:$9.16

Step-by-step explanation:

What I did was 20% of $45.80!  If you have a tip or a percent problem you can think of it as that percent of the certain number.  In math "of" means mupltiply.

Punch in your calculator .2 which is 20% times 45.8 and you get your answer $9.16.  

Hope this helps bwo

Answer:

2

Step-by-step explanation:

Replace t with 6:

g(t) = 2(t-3)-4 becomes g(6) = 2(6-3)-4 = 2(3) - 4 = 6 - 4 = 2

Answer:

cos(θ - φ) is -240/289

Step-by-step explanation:

The given parameters are;

The location of θ = Quadrant III

The location of φ = Quadrant I

cos(θ) = -8/17

cos(φ) = 15/17

By trigonometric identities, we have;

cos(θ - φ) = cos(θ)·cos(φ) - sin(θ)·sin(φ)

Given that 'θ' is in quadrant III, we have;

sin(θ) is negative

By Pythagoras' theorem, we have;

∴ sin(θ) = -√(17²- 8²)/17 = -15/17

Whereby 'φ' is in quadrant I, by Pythagoras' theorem, we have;

sin(φ) = √(17² - 15²)/17 = 8/17

∴ cos(θ - φ) = (-8/17) × (15/17) + (-15/17) × (8/17) = -240/289 = -0.83044982699

Answer:

(2+4)÷12

Step-by-step explanation:

jxkgxljcluckyxlhlusgibibsi do u need an explanation but here

Answer

number of side(n)=6

formula to calculate each interior angle =((n-2)×180)/n

now,

((6-2)×180)/6

(4×180)/6

720/6

120

may this will help you

Answer:

120°

Step-by-step explanation:

n = 6

Work:

[tex]\frac{(n-2) *180}{n} \\\\\frac{(6-2) *180}{6} \\\\\frac{4 *180}{6} \\\\\frac{720}{6} \\\\120[/tex]

Answer: 4.50 Look at the picture

Step-by-step explanation: Hope this help :D

Answer:

x = 65

Step-by-step explanation:

x + 115 = 180

x = 65

Answer:

37

Step-by-step explanation:

Because 180 is a straight line.

Subtract 143 from 180 amd get 37.

Hope this helps ^-^

Answer:

Answer is D) 42x − 24

Step-by-step explanation:

Opening the expression given in question

6(7x − 4)

6 will be multiplied by both items present inside parenthesis.

it can be written as

={(6 * 7x) - (6*4)}

=42x-24

Hope that clears the question.

Answer:

It is C i believe

Step-by-step explanation:

Answer:

The answer is the second one!

Have a wonderful day/night! <3

Answer:

Step-by-step explanation:

Find the diagram attached

From the diagram;

Hypotenuse = 81.9

Angle of elevation = 65degrees

Required

The value of x (Adjacent)

Using the SOH CAH TOA identity

cos theta = adjacent/Hypotenuse

cos 65 = x/81.9

x = 81.9cos65

x = 81.9(0.4226)

x = 34.61

Hence the value of x to the nearest hundredth is 34.61