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EastWind [94]
3 years ago
11

EASY 10 PTS

Mathematics
1 answer:
ollegr [7]3 years ago
7 0
The solution is: 252. 14x18
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The function f(t) = 4t^2 − 8t + 6 shows the height from the ground f(t), in meters, of a roller coaster car at different times t
andreev551 [17]

Answer:

C - f(t) = 4(t − 1)^2 + 2; the minimum height of the roller coaster is 2 meters from the ground.

Step-by-step explanation:

Here we're asked to rewrite the given equation f(t) = 4t^2 − 8t + 6 in the form f(t) = a(t - h)^2 + k (which is known as the "vertex form of the equation of a parabola.")  Here (h, k) is the vertex and a is a scale factor.

Let's begin by factoring 4 out of all three terms:

f(t) = 4 [ t^2 - 2t + 6/4 ]

Next, we must "complete the square" of t^2 - 2t + 6/4; in other words, we must re-write this expression in the form (t - h)^2 + k.

(To be continued)

3 0
3 years ago
Rose picked 18 tulips and 20 daffodils. She divided the flowers into groups so that the same number of tulips and daffodils were
Naddika [18.5K]

Answer:

The greatest number of bouquets Rose could have is 2. 9 of each flower in each bouquet.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Banks provide a number of services including all of the following except __________.
olchik [2.2K]

Answer:

A. Payday Lending

Explanation:

Payday Lending is common for <em>small lending companies</em> and <u>not banks</u>. They assist clients who have a <em>minimal amount of salary</em> to borrow <u>a small amount of money with a high interest.</u> The amount of money he can borrow will depend on the amount of salary he receives per month. <em>The client will not be required to give any form of collateral</em> for the borrowed money, thus, the client is said to be <em>high-risk</em>. However, he will have to return the money over a<em> short period of time</em> with an interest rate that is high. Though it is easy to get a loan with this kind of service, you have to make sure that you are employed.

<em>Banks prefer to offer loans to people who have a steady income and a certain amount of salary.  </em>

7 0
3 years ago
The volume of rectangular bar is 640 cubic units. The width is 3 units more than the height and the length is 1 unit more than t
ASHA 777 [7]

Answer:

H = 5 , W = 8 , L = 16

Step-by-step explanation:

6 0
1 year ago
If 2.5 mol of dust particles were laid end to end along the equator, how many times would they encircle the planet? The circumfe
Natalka [10]

Answer:

They encircle the planet 3.76\times 10^{11} times.

Step-by-step explanation:

Consider the provided information.

We have 2.5 mole of dust particles and the Avogadro's number is 6.022\times 10^{23}

Thus, the number of dust particles is:

2.5\times 6.022\times 10^{23}=15.055\times 10^{23}

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.

Convert the measurement in meters.

Diameter: 10\mu m\times \frac{10^{-6}m}{\mu m} =10^{-5}m

If we line up the particles the distance they could cover is:

15.055\times 10^{23}\times 10^{-5}=15.055\times 10^{18}=1.5055\times 10^{19}

Circumference in meters:

40,076km\times \frac{1000m}{1km}=40,076,000 m

Therefore,

\frac{1.5055\times 10^{19}}{40,076,000} = 3.76\times 10^{11}

Hence, they encircle the planet 3.76\times 10^{11} times.

8 0
3 years ago
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