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4 years ago

Which statements are true? check all that apply

Mathematics

2 answers:

Sever21 [200]4 years ago

7 0

That would be C, D, E and F.

Vladimir [108]4 years ago

5 0

You need to check off C, D, E, and also F

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A basketball player stands near the middle of the court and throws the ball toward the basket.

kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is $y=\frac{-1}{54}(x-18)^2+12$

Step-by-step explanation:

General equation of parabola in vertex form $y= a(x-h)^2+k$

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

$y=a(x-18)^2+12$ ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So, $6=a(0-18)^2+12$

6=324a+12

-6=324a

$\frac{-6}{324}=a$

$\frac{-1}{54}=a$

Substitute the value in 1

So, $y=\frac{-1}{54}(x-18)^2+12$

Hence a function to represent the height of the ball in terms of its distance from the player's hands is $y=\frac{-1}{54}(x-18)^2+12$

8 0

4 years ago

Word problem One of the citizens has 97 silver coins. How many bronze coins would it take to equal this amount

natita [175]

Given: Given that a citizen have 97 silver coins.

To find : Here we need to find that how many bronze coins would it take to equal this amount.

Solution: We know, 1 silver coin=10 bronze coin

So, 97 silver coin=10×97 bronze coin

=970 bronze coin

Therefore, 970 bronze coins would it take to equal this amount.

7 0

3 years ago

Select all pairs of numbers that have LCM of 18?

spayn [35]

Only C and D....................

8 0

4 years ago

2. Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Write an exponential model for t

Gala2k [10]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}$

$A=10000\left(1+\frac{0.085}{12}\right)^{12\cdot 15}\implies A=10000\left( \frac{2417}{2400} \right)^{180}\implies A\approx 35626.53$

8 0

3 years ago

26 cm/s= how many m/min

mel-nik [20]

26 cm/s equals >15.6 m/min

6 0

3 years ago